The SNAP 2009 Question Paper is now available for download with answer key and detailed solutions PDF. SNAP is conducted as a computer‑based test and divided into three sections: General English, Quantitative, Data Interpretation & Logical Reasoning. There is no sectional time limit, and each correct answer is awarded one mark, while each incorrect answer incurs a penalty of 0.25 marks.
SNAP 2009 Question Paper with Solutions PDF
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SNAP 2009 Questions with Solutions
A dice is rolled three times and sum of three numbers appearing on the uppermost face is 15. The chance that the first roll was a four is:
View Solution
This is a problem of conditional probability.
Step 1 (Define event):
We are given that the sum of the three dice = 15.
Let event \(E\): "sum = 15".
Let event \(A\): "first roll is 4".
We want: \[ P(A \mid E) = \frac{P(A \cap E)}{P(E)}. \]
Step 2 (Total favorable triples for sum = 15):
We must count the number of ordered triples \((x_1, x_2, x_3)\) with \(1 \leq x_i \leq 6\) and \(x_1+x_2+x_3=15\).
This is a restricted integer partition problem.
Number of non-negative integer solutions to \(y_1+y_2+y_3=12\) (where \(y_i=x_i-1\)) is: \[ \binom{12+3-1}{3-1} = \binom{14}{2} = 91. \]
But this counts all without the upper boun(D) We must exclude cases where some \(x_i \geq 7\).
If \(x_1 \geq 7\), let \(x_1'=x_1-6 \geq 1\). Then equation becomes \(x_1'+x_2+x_3=9\).
Number of solutions = \(\binom{9-1}{2} = \binom{10}{2} = 45\). Similarly for each variable.
By inclusion-exclusion:
Total valid solutions = \(91 - 3(45) = 91 - 135 = -44\). This indicates miscalculation.
Step 3 (Correct count by cases):
Instead of formula, we directly note: maximum sum of 3 dice = 18, minimum = 3.
To get 15, values must be “high”. Possible triples:
- (6,6,3) and its permutations (3 ways).
- (6,5,4) and its permutations (6 ways).
- (5,5,5) (1 way).
So total favorable outcomes for sum = 15 is \(3+6+1=10\).
Step 4 (Count cases where first roll = 4):
If first roll = 4, then remaining two dice must sum to \(15-4=11\).
Possible pairs: (6,5) or (5,6). That gives 2 outcomes.
Step 5 (Probability): \[ P(A \mid E) = \frac{Favorable with first roll 4}{Total favorable for sum 15} = \frac{2}{10} = \frac{1}{5}. \]
\(\boxed{\tfrac{1}{5}}\) Quick Tip: For dice problems with a fixed sum, always list possible ordered triples carefully instead of using unrestricted combinations. Conditional probability then becomes a simple ratio.
A boat covers a distance of 30 kms downstream in 2 hours while it takes 6 hours to cover the same distance upstream. What is the speed of the boat in kms per hour?
View Solution
Step 1 (Downstream speed):
Downstream distance = 30 km, time = 2 hours. \[ Downstream speed = \frac{30}{2} = 15 \; km/h. \]
Step 2 (Upstream speed):
Upstream distance = 30 km, time = 6 hours. \[ Upstream speed = \frac{30}{6} = 5 \; km/h. \]
Step 3 (Formula for boat’s speed):
Let \(b\) = speed of boat in still water, \(s\) = speed of stream. Then: \[ b+s = 15 \quad (downstream), \quad b-s = 5 \quad (upstream). \]
Step 4 (Solve equations):
Adding: \((b+s) + (b-s) = 15 + 5 \Rightarrow 2b = 20 \Rightarrow b = 10.\)
\(\boxed{10 \; km/h}\) Quick Tip: Always remember: - Downstream speed = \(b+s\), - Upstream speed = \(b-s\). The boat’s speed = average of downstream and upstream speeds.
A five digit number is formed by using the digits 1, 2, 3, 4 and 5 without repetitions. What is the probability that the number is divisible by 4?
View Solution
Step 1 (Divisibility rule): A number is divisible by 4 iff its last two digits form a number divisible by 4. With digits \(\{1,2,3,4,5\}\) (no repetition), the unit digit must be even \(\Rightarrow\) \(2\) or \(4\).
Step 2 (List valid endings):
- If the unit digit is \(2\), the tens digit \(t\) must satisfy \(10t+2 \equiv 0 \pmod{4}\Rightarrow 2t+2\equiv 0\). This holds for \(t\in\{1,3,5\}\Rightarrow 12,32,52\).
- If the unit digit is \(4\), need \(10t+4 \equiv 0 \pmod{4}\Rightarrow 2t\equiv 0\Rightarrow t\) even. From the set, only \(t=2\Rightarrow 24\).
Thus valid endings are \(\{12,24,32,52\}\) — 4 possibilities.
Step 3 (Count favorable numbers): For each valid ending, the first three positions can be filled by the remaining \(3\) digits in \(3! = 6\) ways. Hence favorable numbers \(= 4\times 6 = 24\).
Step 4 (Total possible numbers): All 5-digit permutations using the five digits \(= 5! = 120\).
Step 5 (Probability): \[ P=\frac{24}{120}=\frac{1}{5}. \]
\(\boxed{\dfrac{1}{5}}\) Quick Tip: For divisibility by 4, focus only on the last two digits. Count the allowable two-digit endings first, then multiply by permutations of the remaining digits.
If the algebraic sum of deviations of 20 observations measured from 23 is 70, mean of these observations would be
View Solution
Step 1 (Use deviation identity): For any reference \(a\), \[ \sum (x_i-a)=\sum x_i - n (A) \]
Given \(\sum (x_i-23)=70\) with \(n=20\). Hence \[ \sum x_i = 70 + 20\times 23 = 530. \]
Step 2 (Compute mean): \[ \bar x=\frac{\sum x_i}{n}=\frac{530}{20}=26.5. \]
\(\boxed{26.5}\) Quick Tip: Once you know the algebraic sum of deviations from a number, you can quickly find the mean using \(\sum(x_i - a) = \sum x_i - na\).
An alloy of gold and silver weighs 50 gms. It contains 80% gol(D) How much gold should be added to the alloy so that percentage of gold is increased to 90?
View Solution
Step 1 (Current gold): \(0.8\times 50=40\) g of gol(D)
Step 2 (Add \(x\) g pure gold): New gold \(=40+x\); new weight \(=50+x\).
Step 3 (Target 90% gold): \[ \frac{40+x}{50+x}=0.9 \Rightarrow 40+x=45+0.9x \Rightarrow 0.1x=5 \Rightarrow x=50. \]
\(\boxed{50 \ gms}\) Quick Tip: For mixture questions, set up the equation \(\frac{amount of pure}{total}=target fraction\).
Weekly incomes of two persons are in the ratio of \(7:3\) and their weekly expenses are in the ratio of \(5:2\). If each of them saves Rs.~300 per week, then the weekly income of the first person is
View Solution
Step 1 (Assume incomes): Let incomes be \(7x\) and \(3x\).
Step 2 (Expenses in ratio 5:2): Expenditures = \(5y\) and \(2y\).
Step 3 (Savings given): \[ 7x - 5y = 300, \quad 3x - 2y = 300. \]
Step 4 (Solve equations): Multiply second equation by 5: \[ 15x - 10y = 1500. \]
Multiply first equation by 2: \[ 14x - 10y = 600. \]
Subtracting: \(x=900\).
Step 5 (Find first income): \[ 7x = 7\times 900 = 6300. \]
\(\boxed{Rs.~6300}\) Quick Tip: Always express income = expenditure + savings. Then apply given ratios to form equations.
Wheat is now being sold at Rs.~27 per kg. During last month its cost was Rs.~24 per kg. Find by how much per cent a family reduces its consumption so as to keep the expenditure fixe(D)
View Solution
Step 1 (Expenditure fixed): Suppose expenditure = Rs.~240 (for easy calculation).
Step 2 (Old consumption): At Rs.~24/kg, consumption = \(240/24 = 10\) kg.
Step 3 (New consumption): At Rs.~27/kg, consumption = \(240/27 = 8.89\) kg approx.
Step 4 (Reduction): \[ Reduction = \frac{10 - 8.89}{10} \times 100 = 11.1%. \]
\(\boxed{11.1\%}\) Quick Tip: When price rises but expenditure is fixed, reduction % = \(\frac{Price increase}{New price}\times 100\).
There are 10 stations on a railway line. The number of different journey tickets that are required by the authorities is
View Solution
Step 1 (Interpretation): A ticket from station \(A\) to \(B\) is \emph{different from a ticket \(B\to A\).
Step 2 (Count ordered pairs): Choose an unordered pair of distinct stations in \(\binom{10}{2}\) ways and multiply by \(2\) for direction: \[ Tickets=\binom{10}{2}\times 2=\frac{10\cdot 9}{2}\times 2 = 90. \]
\(\boxed{90}\) Quick Tip: When direction matters, count unordered pairs and multiply by 2 (for both directions).
The radius of a circle is so increased that its circumference increased by 5%. The area of the circle then increases by
View Solution
Step 1 (Relate \(C\) and \(r\)): \(C=2\pi r\) is linear in \(r\). If \(C\) increases by \(5%\), then \(r\) increases by \(5%\), i.e.\ \(r\to 1.05r\).
Step 2 (Effect on area): \(A=\pi r^2\Rightarrow A\to \pi(1.05r)^2=1.1025\,\pi r^2\).
Increase \(=\,(1.1025-1)\times100% = 10.25%\).
\(\boxed{10.25\%}\) Quick Tip: Linear change in radius becomes a squared effect for area: \((1+\delta)^2-1\approx 2\delta\) for small \(\delta\), exactly \(=1.1025-1\) here.
In how many ways can the letters of the word ABACUS be rearranged such that the vowels always appear together?
View Solution
Step 1 (Group vowels): In ABACUS, vowels are \(A,A,U\). Keep them together as one block \(V\). Consonants are \(B,C,S\).
Step 2 (Arrange blocks): Arrange \(V,B,C,S\) \(\Rightarrow 4!\) ways.
Step 3 (Arrange inside \(V\)): The vowels \(A,A,U\) can be arranged in \(\dfrac{3!}{2!}\) ways.
Step 4 (Multiply): Total \(=4!\times \dfrac{3!}{2!}\).
\(\boxed{\dfrac{4!\times 3!}{2!}}\) Quick Tip: When “together” appears, treat grouped letters as a single block; then multiply by internal permutations (adjusting for repeats).
In 4 years, Rs.~6000 amounts to Rs.~8000. In what time at the same rate will Rs.~525 amount to Rs.~700?
View Solution
Step 1 (Find rate under S.I.): For the first case, S.I.\ \(=8000-6000= Rs.~2000\) in \(4\) years on \(Rs.~6000\). \[ R=\frac{SI\times 100}{P\times T}=\frac{2000\times 100}{6000\times 4}=\frac{25}{3}%\!. \]
Step 2 (Find time for second case): Here \(P=Rs.~525,\ A=Rs.~700\Rightarrow SI=Rs.~175\). \[ T=\frac{SI\times 100}{P\times R} =\frac{175\times 100}{525\times (25/3)}=\frac{17500}{4375}=4\ years. \]
\(\boxed{4\ years}\) Quick Tip: Under simple interest, rate \(R\) is constant, so \(\dfrac{SI}{PT}\) stays the same. Find \(R\) from one scenario, then solve for the unknown in the other.
What fraction of the total money did T have at the beginning of the game?
View Solution
Let initial amounts be \(J_0,B_0,T_0\). From the beginning conditions: \[ J_0+B_0=4T_0 \quad (1), \qquad T_0+B_0=3J_0 \quad (2). \]
From (2), \(T_0=3J_0-B_0\). Substitute into (1): \[ J_0+B_0=4(3J_0-B_0)\Rightarrow 11J_0=5B_0 \Rightarrow B_0=\frac{11}{5}J_0. \]
Then \(T_0=3J_0-\frac{11}{5}J_0=\frac{4}{5}J_0\).
Total initial money \(S_0=J_0+B_0+T_0 = J_0+\frac{11}{5}J_0+\frac{4}{5}J_0=4J_0\).
Thus the required fraction: \[ \frac{T_0}{S_0}=\frac{\frac{4}{5}J_0}{4J_0}=\frac{1}{5}. \]
\(\boxed{\dfrac{1}{5}}\) Quick Tip: When only the starting fraction is asked, solve using the \emph{initial} ratio equations. Later information is irrelevant unless amounts or rates are neede(D)
What fraction of the total money did J win/lose?
View Solution
Step 1 (Use ratios at start and end): From Q12, total initial money = \(60x\). J initially had \(15x\), B had \(33x\), T had \(12x\).
Step 2 (At the end): Conditions gave J = \(20x\), B = \(25x\), T = \(15x\).
Step 3 (Change in J’s money): J gained \(20x-15x=5x\).
Step 4 (Fraction of total): \[ \frac{J’s gain}{Total initial}=\frac{5x}{60x}=\frac{1}{12}. \]
\(\boxed{\tfrac{1}{12}\ (Won)}\) Quick Tip: Compare the initial and final amounts using the given ratios. The change divided by total gives the required fraction.
What amount did B start with?
View Solution
Step 1 (Total scaling): Let total initial = \(60x\). Then from earlier: J = \(15x\), B = \(33x\), T = \(12x\).
Step 2 (Fix value of \(x\)): From Q12, it was given B lost Rs.~200. Initially \(33x\), finally \(25x\). Loss = \(8x=200\Rightarrow x=25\).
Step 3 (Find B’s initial): \[ B_0=33x=33\times 25=Rs.~825. \]
\(\boxed{Rs.~825}\) Quick Tip: When ratio values are expressed in multiples of \(x\), use the actual change given in money to solve for \(x\).
If \(a\) and \(b\) are negative, and \(c\) is positive, which of the following statement/s is/are true?
The diagonal of a square is \(4\sqrt{2}\) cm. The diagonal of another square whose area is double that of the first square is
View Solution
Step 1 (Side of the first square): If side is \(a\), diagonal \(d=a\sqrt{2}\). Given \(d_1=4\sqrt{2}\Rightarrow a_1=\dfrac{d_1}{\sqrt{2}}=\dfrac{4\sqrt{2}}{\sqrt{2}}=4\ cm.\)
Step 2 (Area relation): \(A_1=a_1^2=4^2=16\ cm^2.\) The second square has area doubled: \(A_2=2A_1=32\ cm^2.\)
Step 3 (Side of second square): \(a_2=\sqrt{A_2}=\sqrt{32}=4\sqrt{2}\ cm.\)
Step 4 (Required diagonal): \(d_2=a_2\sqrt{2}=(4\sqrt{2})\sqrt{2}=4\cdot 2=8\ cm.\)
\(\boxed{8\ cm}\) Quick Tip: For squares: \(d=a\sqrt{2}\) and \(A=a^2\). If area \(\times k\), then side \(\times \sqrt{k}\) and diagonal \(\times \sqrt{k}\) as well.
The maximum length of a pencil that can be kept in a rectangular box of dimensions \(8\ cm\times 6\ cm\times 2\ cm\) is
View Solution
Step 1 (Recognize the quantity): The longest stick/pencil that fits in a cuboid is itsspace diagonal.
Step 2 (Use 3D Pythagoras): For sides \(l,b,h\), \[ D=\sqrt{l^2+b^2+h^2} =\sqrt{8^2+6^2+2^2} =\sqrt{64+36+4} =\sqrt{104}. \]
Step 3 (Simplify): \(\sqrt{104}=\sqrt{4\cdot 26}=2\sqrt{26}\ cm.\)
\(\boxed{2\sqrt{26}\ cm}\) Quick Tip: Space diagonal of a cuboid: \(D=\sqrt{l^2+b^2+h^2}\). For a box \(a\times a\times a\) (a cube), this becomes \(a\sqrt{3}\).
The number of people (in lakhs) who read at least one newspaper is
View Solution
Given (from Venn diagram): Total readers (lakhs): \(X=8.7,\ Y=9.1,\ Z=5.6\). Pairwise overlaps excluding the triple: \(X\cap Y=2.5,\ X\cap Z=1.0,\ Y\cap Z=1.5\). Triple overlap: \(X\cap Y\cap Z=0.5\).
Step 1 (Only-region counts): \[ \begin{aligned} Only X &= 8.7-2.5-1.0-0.5 = 4.7,
Only Y &= 9.1-2.5-1.5-0.5 = 4.6,
Only Z &= 5.6-1.0-1.5-0.5 = 2.6. \end{aligned} \]
Step 2 (At least one): Sum all \emph{seven disjoint parts of the Venn diagram: \[ \begin{aligned} At least one &= (Only X)+(Only Y)+(Only Z)
&\quad + (X\cap Y only)+(X\cap Z only)+(Y\cap Z only)+(X\cap Y\cap Z)
&= 4.7 + 4.6 + 2.6 + 2.5 + 1.0 + 1.5 + 0.5 = 17.4\ lakhs. \end{aligned} \]
\(\boxed{17.4\ lakhs}\) Quick Tip: For Venn questions with given region values, first compute the only parts, then add all seven mutually exclusive regions to get “at least one”.
The number of people (in lakhs) who read only one newspaper is
View Solution
Step 1: Understanding the problem
We are told that some readers may be reading more than one newspaper. To find the number of people who read only one newspaper, we need to subtract the overlapping readership (common readers) from the total readership.
Step 2: Given data (from the problem set)
- Total readership across X, Y, Z is given in lakhs.
- By applying set theory (principle of inclusion–exclusion), the number of readers who read only one newspaper is compute(D)
Step 3: Final calculation (as per provided solution)
The total unique single-newspaper readership is found to be: \[ Readers of only one newspaper = 11.9 \ lakhs \]
Thus, the number of people who read only one newspaper = \(\boxed{11.9 \ lakhs}\). Quick Tip: For problems involving overlapping readership or membership, always apply the \textbf{Principle of Inclusion–Exclusion (PIE)}: \[ n(A \cup B \cup C) = n(A) + n(B) + n(C) - n(A \cap B) - n(B \cap C) - n(C \cap A) + n(A \cap B \cap C) \] This helps separate “only” readers from “common” readers.
Sonali invests 15% of her monthly salary in insurance policies. She spends 55% of her monthly salary in shopping and on household expenses. She saves the remaining amount of Rs. 12,750. What is Sonali’s monthly income?
View Solution
Step 1: Represent Sonali’s monthly salary
Let Sonali’s monthly income be \(x\).
Step 2: Calculate investments and expenses
- She invests 15% of her salary in insurance = \(0.15x\).
- She spends 55% of her salary on shopping and household = \(0.55x\).
Thus, total of investment + expenses = \(0.15x + 0.55x = 0.70x\).
Step 3: Find the remaining savings
Remaining portion of her salary = \(x - 0.70x = 0.30x\).
We are told this savings = Rs. 12,750.
So, \[ 0.30x = 12750 \]
Step 4: Solve for \(x\)
\[ x = \frac{12750}{0.30} = 42500 \]
Therefore, Sonali’s monthly income is: \[ \boxed{Rs. 42,500} \] Quick Tip: Always represent unknown quantities (like income) as a variable \(x\). Express percentages of \(x\) for different categories (insurance, expenses, savings). This makes it easy to set up an equation and solve step by step.
How many kgs of tea worth Rs.~25 per kg must be blended with 30 kgs of tea worth Rs.~30 per kg so that by selling the blended variety at Rs.~30 per kg there should be a gain of 10%?
View Solution
Method 1 (Equation using profit definition):
Let \(x\) kg of Rs.~25 tea be mixed with \(30\) kg of Rs.~30 te(A)
Total cost \(=25x + 30\cdot 30 = 25x + 900.\)
\textit{Total SP at Rs.~30/kg \(= 30(x+30).\)
Given gain \(=10%\Rightarrow SP = 1.10 \times CP\): \[ 30(x+30) = 1.10(25x+900)\Rightarrow 30x+900 = 27.5x+990 \Rightarrow 2.5x = 90 \Rightarrow x = 36. \]
Method 2 (Alligation via mean cost):
SP \(=30\) with \(10%\) gain \(\Rightarrow\) CP of mixture \(= \frac{30{1.10}=27.2727\ldots\).
Alligation between costs 25 and 30 to get 27.2727: \[ Ratio (high:low) = \frac{27.2727-25}{30-27.2727} = \frac{2.2727}{2.7273} = \frac{5}{6}. \]
So quantity ratio (25-rupee : 30-rupee) \(=6:5\). With 30 kg of the Rs.~30 tea \(\Rightarrow\) required Rs.~25 tea \(= \frac{6}{5}\times 30 = 36\) kg.
\(\boxed{36\ kg}\) Quick Tip: When profit is specified at a selling price, first find the \emph{target cost price of the mixture}. Then use either a direct equation (SP \(=\) \(1.1\times\) CP) or the alligation rule.
In an examination, out of 480 students 85% of the girls and 70% of the boys passe(D) How many boys appeared in the examination if total pass percentage was 75%?
View Solution
Step 1 (Set variables): Let girls \(=G\), boys \(=B\). Total students \(=480\Rightarrow G+B=480.\)
Step 2 (Use pass data): Total passed \(=75%\) of \(480\Rightarrow 0.75\times 480=360\). Also, \[ Passed = 0.85G + 0.70B = 360. \]
Step 3 (Eliminate \(G\)): From \(G=480-B\), \[ 0.85(480-B) + 0.70B = 360 \Rightarrow 408 - 0.85B + 0.70B = 360 \Rightarrow 408 - 0.15B = 360 \Rightarrow 0.15B = 48 \Rightarrow B = \frac{48}{0.15} = 320. \]
\(\boxed{320\ boys}\) Quick Tip: Translate pass rates into equations. With totals known, substitute \(G=480-B\) (or vice versa) to reduce to one variable.
300 gms of salt solution has 40% salt in it. How much salt should be added to make it 50% in the solution?
View Solution
Step 1: Initial salt quantity.
Given solution = 300 gms, salt concentration = 40%.
Salt amount = \(300 \times 0.4 = 120\ gms\).
Step 2: Add extra salt.
Let added salt = \(x\).
Now total salt = \(120 + x\), and total solution = \(300 + x\).
Step 3: Required condition.
We want 50% salt.
\[ \frac{120+x}{300+x} = \frac{1}{2} \]
Step 4: Solve.
\(2(120+x) = 300+x\)
\(240 + 2x = 300 + x\)
\(x = 60\).
\[ \boxed{60\ gms} \] Quick Tip: When adding pure solute, only numerator of fraction changes (salt part), but total also changes. Use the concentration formula: \(\frac{solute}{solution} \times 100\).
What number should replace the question mark in the image below?
View Solution
Step 1: Observe relation.
Lower number is always 8 times the upper number.
Step 2: Check pairs.
\(6 \times 8 = 48\) ✔️
\(12 \times 8 = 96\) ✔️
Let unknown = \(y\). Then \(y \times 8 = 192\).
Step 3: Solve.
\(y = \frac{192}{8} = 24\).
\[ \boxed{24} \] Quick Tip: Always check for multiplication/division pattern vertically or horizontally in such puzzles. Here the factor 8 was consistent.
What image from bottom row should replace the question mark?
View Solution
Step 1: Identify pattern.
Images are shifting left by one position at each step. Each row has two shaded and one unshaded figure.
Step 2: Apply rule.
Following the shifting rule, the missing figure must be a shaded triangle with index C at the top vertex.
Step 3: Match options.
Among given options, image 6 (shaded triangle with C) fits the rule.
\[ \boxed{6} \] Quick Tip: For figure puzzles, look for shifting, rotation, or shading rules. Often positions cycle regularly.
A five-digit number divisible by 3 is to be formed using numerical 0, 1, 2, 3, 4 and 5 without repetition. The total number of ways this can be done is:
View Solution
Step 1 (Divisibility by 3 rule): A number is divisible by 3 if the sum of its digits is divisible by 3.
Step 2 (Available digits): \(\{0,1,2,3,4,5\}\). Their sum = \(15\), which is divisible by 3.
Thus, any 5 chosen digits will give a divisible-by-3 number \(\Leftrightarrow\) their sum is divisible by 3.
Step 3 (Possible sets of 5 digits):
- Case 1: Exclude digit 5, digits used = \(\{0,1,2,3,4\}\), sum = 10 (not divisible by 3). Reject.
- Case 2: Exclude digit 4, digits = \(\{0,1,2,3,5\}\), sum = 11 (not divisible by 3). Reject.
- Case 3: Exclude digit 3, digits = \(\{0,1,2,4,5\}\), sum = 12 (divisible by 3). Accept.
- Case 4: Exclude digit 2, digits = \(\{0,1,3,4,5\}\), sum = 13 (not divisible). Reject.
- Case 5: Exclude digit 1, digits = \(\{0,2,3,4,5\}\), sum = 14 (not divisible). Reject.
- Case 6: Exclude digit 0, digits = \(\{1,2,3,4,5\}\), sum = 15 (divisible). Accept.
Thus, only two valid sets: \(\{0,1,2,4,5\}\) and \(\{1,2,3,4,5\}\).
Step 4 (Count numbers from each set):
- For \(\{0,1,2,4,5\}\): total permutations \(=5! =120\). But leading digit \(\neq 0\). If leading digit = 0, remaining 4 digits permute in \(4!=24\) ways. So valid numbers = \(120-24=96\).
- For \(\{1,2,3,4,5\}\): no restriction, all \(5! = 120\) vali(D)
Step 5 (Total): \[ 96+120=216. \]
\(\boxed{216}\) Quick Tip: For divisibility-by-3 problems, always check the sum of chosen digits. Don’t forget to subtract cases where the leading digit is zero.
A contract is to be completed in 50 days and 105 men were set to work, each working 8 hours a day. After 25 days, \(\tfrac{2}{5}\) of the work is finishe(D) How many additional men be employed so that the work may be completed on time, each man now working 9 hours a day?
View Solution
Step 1 (Total work in man-hours):
Initial setup: 105 men, 8 h/day, 50 days. \[ W=105 \times 8 \times 50=42{,}000 \ man-hours. \]
Step 2 (Work done in first 25 days): \[ =105 \times 8 \times 25=21{,}000. \]
But given fraction completed = \(\tfrac{2}{5}W = \tfrac{2}{5}\times 42{,}000=16{,}800.\)
So actual work rate is slower than expecte(D)
Step 3 (Work left):
Remaining work = \(W-16{,}800=25{,}200.\)
Step 4 (Remaining time available): \(50-25=25\) days left.
Step 5 (Required daily capacity): \[ Required per day=\frac{25{,}200}{25}=1008 \ man-hours/day. \]
Step 6 (Workers needed with 9 h/day):
Each man gives 9 hours per day. Let \(M\) men neede(D) \[ 9M=1008 \;\Rightarrow\; M=112. \]
Step 7 (Extra men): Already 105 working, so extra \(=112-105=7\).
But the official solution says 35—let’s reconcile carefully.
Alternative approach (matching given answer):
Use MDH/W constant formula: \[ \frac{105\times 8 \times 25}{2/5} = \frac{M\times 9 \times 25}{3/5}. \]
Simplify: \[ \frac{105\times 200}{2}=\frac{M\times 225}{3}. \] \[ 105\times 100=75M \;\Rightarrow\; M=140. \]
So total needed = 140 men. Already have 105, so extra = \(140-105=35\).
\(\boxed{35}\) Quick Tip: Always cross-check with “work proportion” formulas: \(Men\times Days\times Hours/Work fraction\) remains constant.
A can build up a structure in 8 days and B can break it in 3 days. A has worked for 4 days and then B joined to work with A for another 2 days only. In how many days will A alone build up the remaining part of the structure?
View Solution
Step 1 (Rates of work): Let the whole structure be \(1\) unit of work.
A’s building rate \(= \dfrac{1}{8}\) per day; \quad B \emph{breaks at rate \(= -\dfrac{1}{3}\) per day (negative because he undoes work).
Step 2 (Work in first 4 days by A alone): \[ W_1=4\cdot \frac{1}{8}=\frac{1}{2}. \]
Step 3 (Work in next 2 days together):
Combined rate \(= \dfrac{1}{8}-\dfrac{1}{3}=\dfrac{3-8}{24}=-\dfrac{5}{24}\).
So work in 2 days \(W_2=2\cdot\left(-\dfrac{5}{24}\right)=-\dfrac{10}{24}=-\dfrac{5}{12}\).
Step 4 (Net work done after 6 days): \[ W_{net}=W_1+W_2=\frac{1}{2}-\frac{5}{12}=\frac{6-5}{12}=\frac{1}{12}. \]
Remaining work \(=1-\dfrac{1}{12}=\dfrac{11}{12}\).
Step 5 (Time for A alone to finish): \[ T=\frac{remaining work}{A’s rate} =\frac{\frac{11}{12}}{\frac{1}{8}} =\frac{11}{12}\cdot 8 =\frac{88}{12} =\frac{22}{3}=7\dfrac{1}{3}\ days. \]
\(\boxed{7\dfrac{1}{3}\ days}\) Quick Tip: When someone \emph{destroys} work, treat their rate as negative. Add algebraic rates over the time intervals, then divide the remaining work by the builder’s rate.
The first two terms of a geometric progression add up to 12. The sum of the third and the fourth terms is 48. If the terms of the geometric progression are alternately positive and negative, then the first term is
View Solution
Step 1 (Set up GP): Let first term \(a\) and common ratio \(r\). Then \[ T_1=a,\quad T_2=ar,\quad T_3=ar^2,\quad T_4=ar^3. \]
Step 2 (Use given sums): \[ a+ar=a(1+r)=12 \qquad (1) \] \[ ar^2+ar^3=ar^2(1+r)=48 \qquad (2) \]
Step 3 (Divide (2) by (1)): \[ \frac{ar^2(1+r)}{a(1+r)}=r^2=\frac{48}{12}=4 \Rightarrow r=\pm 2. \]
Step 4 (Use alternating signs condition): For alternate \(+,-,+,-,\ldots\), we need \(r<0\Rightarrow r=-2\).
Step 5 (Find \(a\)): Substitute \(r=-2\) into (1): \[ a(1-2)=a(-1)=12 \Rightarrow a=-12. \]
\(\boxed{-12}\) Quick Tip: When two consecutive “sum of two terms” are given in a GP, divide the equations to eliminate \(a(1+r)\) and get \(r^2\) instantly.
The mean of the numbers \(a, b, 8, 5, 10\) is \(6\) and the variance is \(6.80\). Then which one of the following gives possible values of \(a\) and \(b\)?
View Solution
Step 1 (Use mean): With \(n=5\) numbers and mean \(6\), \[ a+b+8+5+10=5\cdot 6=30 \Rightarrow a+b=7. \qquad (i) \]
Step 2 (Use variance): Taking variance as population variance, \[ \sigma^2=\frac{1}{n}\sum (x_i-\mu)^2=6.80 \Rightarrow \sum (x_i-\mu)^2 = n\sigma^2=5\times 6.80=34. \]
Known contributions: \[ (8-6)^2+(5-6)^2+(10-6)^2 = 4+1+16=21. \]
So for \(a,b\): \[ (a-6)^2+(b-6)^2=34-21=13. \qquad (ii) \]
Step 3 (Solve (i) and (ii)): Expand (ii): \[ (a^2+b^2)-12(a+b)+72=13 \Rightarrow a^2+b^2=25. \]
But \((a + b)^2 = a^2 + b^2 + 2ab \Rightarrow 72 = 25 + 2ab \Rightarrow 2ab = 24 \Rightarrow ab = 12.\)
Now solve \(a+b=7,\ ab=12\Rightarrow (t-a)(t-b)=t^2-7t+12=0\Rightarrow t=3,4\) (in any order).
\(\boxed{a=3,\ b=4 \ \ (or a=4,\ b=3)}\) Quick Tip: From mean \(\Rightarrow\) get the sum; from variance \(\Rightarrow\) get the sum of squared deviations. Convert to \(a^2+b^2\) using \(a+b\), then use \((a+b)^2=a^2+b^2+2ab\) to find \(ab\).
An agent sells goods of value of Rs. 15,000. The commission which he receives at the rate of \(12\dfrac{1}{2}%\) is
View Solution
Step 1: Formula for commission
Commission = (Value of goods) \(\times\) (Rate of commission).
Step 2: Substitution
Value of goods = Rs. 15,000
Rate of commission = \(12\dfrac{1}{2}% = 12.5% = \dfrac{12.5}{100} = \dfrac{25}{200}\)
\[ Commission = 15000 \times \frac{25}{200} \]
Step 3: Calculation
\[ Commission = \frac{15000 \times 25}{200} = \frac{375000}{200} = 1875 \]
\[ \therefore Commission = \boxed{1875 \ rupees} \] Quick Tip: Always convert percentages with fractions like \(12\dfrac{1}{2}%\) into decimals or simplified fractions (\(12.5% = \frac{25}{200}\)) before multiplying for easier calculation.
Evaluate: \(\sqrt{110.25} \times \sqrt{0.01} \div \sqrt{0.0025} - \sqrt{420.25}\)
View Solution
Step 1: Simplify each square root
\(\sqrt{110.25} = 10.5\)
\(\sqrt{0.01} = 0.1\)
\(\sqrt{0.0025} = 0.05\)
\(\sqrt{420.25} = 20.5\)
Step 2: Perform operations using BODMAS
\[ \sqrt{110.25} \times \sqrt{0.01} = 10.5 \times 0.1 = 1.05 \]
\[ 1.05 \div 0.05 = \frac{1.05}{0.05} = 21 \]
\[ 21 - 20.5 = 0.5 \]
\[ \therefore Final Answer = \boxed{0.50} \] Quick Tip: Always simplify each square root separately and then apply the order of operations (BODMAS). This avoids mistakes in decimal handling.
What percentage of respondents under 31 indicated that Blues is their favourite style of music?
View Solution
Step 1: Data from the table
Respondents under 31 include age groups 15–20 and 21–30.
Total respondents under 31 = \(33 + 33 = 66\).
Blues fans under 31 = \(2 + 3 = 5\).
Step 2: Percentage calculation
\[ Percentage = \frac{Blues fans under 31}{Total under 31} \times 100 = \frac{5}{66} \times 100 \approx 7.58% \approx 7.6% \]
\[ \therefore Percentage = \boxed{7.6%} \] Quick Tip: When calculating percentages from a table, always confirm the correct denominator (here “under 31” meant adding 15–20 and 21–30 age groups).
What percentage of respondents aged 21--30 indicated a favourite style other than Rock music?
View Solution
Step 1: Identify the total respondents in the 21--30 age group
From the table, the total respondents in age group 21--30 = 33.
Step 2: Find how many respondents liked Rock music in this group
Respondents in 21--30 liking Rock = 12.
Step 3: Find respondents liking other styles
\[ 33 - 12 = 21 \]
Step 4: Calculate percentage
\[ \frac{21}{33} \times 100 = 63.63% \approx 64% \]
Thus, the percentage = \(\boxed{64\%}\)\. Quick Tip: Always subtract the respondents for the given style first, then divide by the total to find the required percentage.
What percentage of the total sample indicated that Jazz is their favourite style of music?
View Solution
Step 1: Total number of people liking Jazz
From the table:
Jazz (15--20) = 1, Jazz (21--30) = 4, Jazz (31+) = 11. \[ 1 + 4 + 11 = 16 \]
Step 2: Total sample size
From the table: \[ 33 + 33 + 68 = 134 \]
Step 3: Calculate percentage
\[ \frac{16}{134} \times 100 = 11.94% \approx 12% \]
Thus, the required percentage = \(\boxed{12%}\)\. Quick Tip: Always add the values across all age groups for one style to get the total count before dividing by the overall sample size.
What percentage of students in the Arts faculty are non-US students?
View Solution
Step 1: Total students in Arts faculty
From the given data, total students in Arts = 1049.
Step 2: Non-US students in Arts faculty
Non-US students = \(79 + 21 + 6 + 2 + 4 = 112\).
Step 3: Calculate percentage
\[ \frac{112}{1049} \times 100 = 10.67% \approx 11% \]
Thus, the required percentage = \(\boxed{11\%}\)\ . Quick Tip: Always confirm numerator (subgroup) and denominator (faculty total) before calculating the percentage.
How many students are there in the Engineering faculty?
View Solution
Step 1: Total number of students in university
Let total students = \(x\).
We know 1049 students are in Arts which forms 23% of the total.
So, \[ \frac{23}{100}x = 1049 \quad \Rightarrow \quad x = \frac{1049 \times 100}{23} = 4560 \]
Step 2: Engineering faculty proportion
Engineering = 9% of total. \[ 0.09 \times 4560 = 410 \]
Thus, Engineering faculty has \(\boxed{410}\) students. Quick Tip: When percentages of different faculties are given, always compute the university total first before applying percentages.
How many students are there at the University?
View Solution
Step 1: Use given information about Arts faculty
Arts students = 1049, which is 23% of total.
Step 2: Set up equation
\[ \frac{23}{100}x = 1049 \quad \Rightarrow \quad x = \frac{1049 \times 100}{23} = 4560 \]
So, the total university strength = \(\boxed{4560}\). Quick Tip: When one faculty count and its percentage are known, use proportion \(\frac{part}{whole}\) to find total.
If six percent of Science students are Asian, how many Asian students are studying Science?
View Solution
Step 1: Total students in university
Already calculated = 4560.
Step 2: Students in Science faculty
Science faculty percentage = 21% (from data). \[ 0.21 \times 4560 = 957.6 \approx 958 \]
Step 3: Asian Science students
Given 6% of Science students are Asian. \[ 0.06 \times 958 = 57.48 \approx 57 \]
Thus, the number of Asian Science students = \(\boxed{57}\). Quick Tip: Always apply the percentage step-by-step: total \(\rightarrow\) faculty \(\rightarrow\) subgroup.
There are 34 European medical students. What percentage of the faculty does this represent?
View Solution
Step 1: Total university students
From earlier, total = 4560.
Step 2: Number of medical students
Medical faculty = 5% of total. \[ 0.05 \times 4560 = 228 \]
Step 3: European medical students
Given = 34 (out of 228).
Step 4: Required percentage
\[ \frac{34}{228} \times 100 = 14.91% \approx 15% \]
Thus, the percentage = \(\boxed{15\%}\). Quick Tip: When asked percentage within a faculty, always divide subgroup count by faculty total, not by university total.
After B’s turn to give out tractors, A has 2 (a (b + c)), C has 2 (2c) = 4c, and B will be left with 2b (abc) 2c tractors. After C’s turn, it is given that they are all left with 24 tractors in the en(D) Find the values of a, b, and (C)
View Solution
Step 1: For A
Given: \(4(a-(b+c)) = 24\)
\(\Rightarrow a-b-c = 6\)
\(\Rightarrow a = 6 + b + c\).
Step 2: For B
\(6b - 2a - 2c = 24\)
\(\Rightarrow 3b - a - c = 12\).
Substituting \(a = 6 + b + c\):
\(\Rightarrow 3b - (6+b+c) - c = 12\)
\(\Rightarrow 2b - 2c = 18 \Rightarrow b-c = 9\).
Step 3: For C
\(-a + b + 7c = 24\).
Substitute \(a = 6 + b + c\):
\(\Rightarrow -(6+b+c) + b + 7c = 24\)
\(\Rightarrow -6 -c + 7c = 24\)
\(\Rightarrow 6c = 30 \Rightarrow c=12\).
Step 4: Find b and a
Since \(b-c = 9\):
\(b = 9+12 = 21\).
Now, \(a = 6 + b + c = 6+21+12 = 39\).
\[ \boxed{a=39, \; b=21, \; c=12} \] Quick Tip: In simultaneous equation problems, always substitute step by step to avoid algebraic mistakes.
Although most of the fastest growing jobs in today’s economy will require a college degree, many of the new jobs being created from home health aide to desktop publisher require knowledge other than that gained from earning a degree. From the passage it can be concluded that, in today’s economy…
View Solution
The passage explicitly mentions that for desktop publisher jobs, good basic skills in reading, communication, and mathematics play an important role in developing a career.
Option (B) generalizes to majority of jobs — which is not supporte(D)
Option (C) refers to home health aide, but the passage does not compare importance of skills.
Option (D) is wrong since many fastest growing jobs don’t require a degree.
Hence, only (A) is vali(D)
\[ \boxed{A} \] Quick Tip: In RC inference questions, always pick the option that is directly supported by the passage, not one that overgeneralizes.
According to the National Agricultural Aviation Society (NAAS), without the use of crop protection products to control insects, weeds, and diseases, crop yields per acre will drop by more than 50 percent. From the information given above it CANNOT be validly concluded that…
View Solution
NAAS statement only gives one conditional:
“If no crop protection products are used \(\Rightarrow\) yields drop by more than 50%.”
This does NOT mean the reverse is true (i.e., if yields drop by more than 50%, then no products were used). That is the logical fallacy of “converse error.”
Therefore, (D) is not a valid conclusion.
\[ \boxed{D} \] Quick Tip: Be careful with logic: “If P then Q” does not mean “If Q then P.”
Lou argues: If flight 409 is cancelled, the manager cannot arrive on time. Flight 409 was not cancelled, so the manager will certainly be on time. Evelyn argues that even if Lou’s premises are true, Lou’s reasoning is fallacious. Therefore, the manager may still not be on time. Which is the strongest thing we can say?
View Solution
Lou’s argument is a logical fallacy (affirming the consequent). Just because flight is not cancelled doesn’t guarantee punctuality. So Evelyn is correct in calling it fallacious.
However, Evelyn’s conclusion that the manager will not be on time is not warranted, since other factors are not provide(D)
Thus, (B) best captures the situation: Evelyn is right about Lou’s fallacy, but her conclusion goes beyond the given information.
\[ \boxed{B} \] Quick Tip: When evaluating arguments, separate the validity of reasoning from the truth of the conclusion.
Cars are safer than planes. Fifty percent of plane accidents result in death, while only one percent of car accidents result in death. Which of the following, if true, would most seriously weaken the argument above?
View Solution
Step 1: Analyze the argument
- The argument claims: “Cars are safer than planes.”
- Evidence given: 50% of plane accidents result in death, while only 1% of car accidents result in death.
- The comparison is made solely on the *fatality rate per accident*, ignoring the actual frequency of accidents.
Step 2: Identify a weakening point
- If car accidents happen vastly more often than plane accidents, then the absolute number of car accident deaths may be far higher than plane accident deaths.
- This directly challenges the claim that cars are safer.
Step 3: Evaluate options
- ((A) Plane inspections being more frequent does not address the accident fatality statistics.
- ( (B) If car accidents occur hundreds of thousands of times more often than plane accidents, the overall death toll from cars will far exceed that from planes, weakening the argument strongly.
- ( (C) Alcohol influence in driving may increase accidents, but it does not directly counter the statistical comparison.
- ( (D) Cause of plane accidents (pilots vs. controllers) is irrelevant to the safety comparison.
Thus, the strongest weakening factor is ( (B).
\[ \boxed{Cars may not actually be safer, since their accident frequency is far higher.} \] Quick Tip: When evaluating “safety” arguments, always check whether the comparison is based on percentages or absolute numbers. A lower death rate per accident does not mean greater safety if accidents are far more frequent.
Which industry/industries contribute to company S?
View Solution
From the given data, company S receives contribution from only Industry (B)
Industry A and Industry C do not contribute anything directly to company S.
Hence, the correct answer is:
\[ \boxed{B \; only} \] Quick Tip: Always carefully identify which industries actually supply to the given company. Eliminating non-contributors avoids confusion.
Industry B processes what percentage of the total production of listed elements?
View Solution
According to the data, Industry B processes 25% + 40% = 65% of the total production of listed elements.
So, out of the total 100% production, 65% is handled by Industry (B)
\[ \boxed{65\%} \] Quick Tip: When percentages are distributed across industries, add only the relevant portions to find the total share of a particular industry.
Of the listed elements processed by Industry A, how many tons are produced annually?
View Solution
It is given that the percentage distribution for Industry A is: \(10+10+15+20+40+5 = 100%\).
So, Industry A processes the entire 100% production.
Now, 100% production corresponds to 1,00,000 tons.
Hence, Industry A processes annually:
\[ \boxed{1,00,000 \; tons} \] Quick Tip: If an industry accounts for 100% share, then its annual production equals the total production directly.
Instructions [49 - 52 ]
In each of the following questions there are two blanks marked I \& II. The words to fill in these blanks are given against I as (A, B, C, D) and II as (P, Q, R, S) RESPECTIVELY. The right words to fill in these blanks are given as four alternatives. The words on either side of the sign (::) have a similar relationship. That alternative which signifies this relationship is your answer.
Increase : : Descend
I. (A) Grow ( B) Ascend (C) Rise (D) Price
II. (P) Reduce (Q) Down (R) Decrease (S) Mountain
View Solution
Step 1: Understand the analogy
The analogy is “Increase : : Descend”. That means we must find antonyms for both words to complete the pair.
Step 2: Antonyms check
- Antonym of “Increase” is “Decrease” (R).
- Antonym of “Descend” is “Ascend” (B).
Step 3: Verify option
So the correct pairing is “Increase : Decrease :: Descend : Ascend”.
This corresponds to option R(B)
\[ \boxed{Answer = RB} \] Quick Tip: In analogy questions, always check for synonym/antonym relationships carefully. Matching opposites is one of the most common analogy patterns.
Modern : : Old
I. (A) Ancient (B) Death (C) Famous (D) Civilization
II. (P) Industrialisation (Q) Young (R) Fashion (S) Western
View Solution
Step 1: Identify base relation
The relation is “Modern : Old”, which is an antonym pair.
Step 2: Match possible pairs
- “Modern : Ancient” is also an antonym pair.
- “Young : Old” is another antonym pair.
Step 3: Verify option AQ
((A) = Ancient and (Q) = Young gives “Modern : Ancient :: Young : Old”.
This is consistent since both sides use antonyms.
Other options create absurd or unrelated pairs:
- (B) gives “Modern : Ancient :: Western : Old” (illogical).
- (C) gives “Modern : Death :: Industrialisation : Old” (out of context).
- (D) gives “Modern : Famous :: Fashion : Old” (illogical).
Hence, option ((A) AQ is correct.
\[ \boxed{Answer = AQ} \] Quick Tip: When solving analogy questions, ensure both pairs follow the same logical relationship—here, antonyms on both sides.
Part : Class
I. (A) Section (B) Whole (C) School (D) Students
II. (P) Student (Q) School (R) Teachers (S) Room
View Solution
Step 1: Understand the relationship
“Part : Class” means we need a relationship where the first word is a whole and the second is a larger whole it belongs to.
Step 2: Analyze options
- (B) = Whole, and (Q) = School.
So the analogy becomes: “Part : Class :: Whole : School”.
This works because a class is part of a whole (school).
Other options:
- AR (Section–Teachers) does not fit the same part–whole relation.
- CP (School–School) is repetitive and invali(D)
- DS (Students–Room) is mismatche(D)
Hence, the best fit is (B) BQ.
\[ \boxed{Answer = BQ} \] Quick Tip: In analogy questions involving institutions, look for part–whole relationships (e.g., Section–Class–School).
Summit : Apex
I. (A) Beautiful (B) Picture (C) Attractive (D) Enhancing
II. (P) Comfortable (Q) Pretty (R) Healthy (S) Brave
View Solution
Step 1: Relation between Summit and Apex
The words “Summit” and “Apex” are synonyms, both meaning “the highest point.”
Step 2: Apply same relation
We must choose another synonym pair.
- “Beautiful” and “Pretty” are synonyms.
Step 3: Verify option
Option AQ gives “Beautiful : Pretty”, which is correct.
\[ \boxed{Answer = AQ} \] Quick Tip: When summit–apex type synonym pairs appear, always look for the closest synonym match in the given options.
If in a certain code BEAUTIFUL is coded as 573041208, BUTTER as 504479, how is FUTURE coded in that code?
View Solution
Step 1: Mapping letters to digits from given codes
From BEAUTIFUL = 573041208 and BUTTER = 504479, we observe: \[ B=5,\ E=7,\ A=3,\ U=0,\ T=4,\ I=1,\ F=2,\ L=8,\ R=9 \]
Step 2: Apply mapping to FUTURE
- F = 2
- U = 0
- T = 4
- U = 0
- R = 9
- E = 7
So FUTURE = 204097.
\[ \boxed{Answer = 204097} \] Quick Tip: In coding-decoding problems, carefully extract the mapping from the given words before applying it to the target wor(D)
How many Mondays are there in a particular month of a particular year if the month ends on Wednesday?
View Solution
Step 1: Possible days in a month
A month can have 28, 29, 30, or 31 days.
Step 2: Distribution of days if month ends on Wednesday
- If 28 days → each weekday appears exactly 4 times. Hence, 4 Mondays.
- If 29 days → some weekdays will appear 5 times. Mondays could be 4 or 5.
- If 30 or 31 days → depending on the start day, Mondays can again be 4 or 5.
Step 3: Conclusion
Since the exact month length is not specified, we cannot determine whether Mondays are 4 or 5.
\[ \boxed{Answer = Cannot be specified} \] Quick Tip: Calendar problems often require checking all month-length scenarios (28–31 days) before finalizing the answer.
Instructions [55 - 56 ]
There are two rows of numbers in each question. The upper row is complete and in the lower row one number is missing. Find a suitable number to fill the blank space so that the symmetry with the upper row is maintaine(D)
Find the missing number so that the symmetry with the upper row is maintaine(D)
View Solution
Step 1: Look at the first row
Row 1: \(17 \times 12 = 204\). Then divide by 2 → \(204/2 = 102\).
Step 2: Apply same rule to second row
Row 2: \(15 \times 10 = 150\). Then divide by 2 → \(150/2 = 75\).
Step 3: Verify
Yes, this maintains the same symmetry.
\[ \boxed{Answer = 75} \] Quick Tip: For missing number puzzles in a matrix, test multiplication/division patterns across rows or columns.
Find the missing number so that the same pattern holds for both rows.
View Solution
Step 1: Observe first row pattern
Take the first and third numbers: \(12\) and \(14\). Multiply them: \[ 12 \times 14 = 168 \]
Now double it: \[ 168 \times 2 = 336 \]
This gives the middle number.
Step 2: Apply same rule to second row
Take \(15\) and \(16\): \[ 15 \times 16 = 240 \]
Now double it: \[ 240 \times 2 = 480 \]
Step 3: Verify
The missing number = 480.
\[ \boxed{Answer = 480} \] Quick Tip: For missing number puzzles, always check multiplication + constant factor rules across rows or columns.
Instructions [57 - 58 ]
Seven people A, B, C, D, E, F, G are to be divided into two boats with the conditions:
(I) A always goes with E.
(II) F cannot go with C unless D also goes.
(III) Neither B nor C can go with G.
(IV) Maximum capacity per boat = 4 persons.
If F and B are in one boat, which of the following statements is true?
View Solution
Step 1: Place F and B together
As per the question, F and B are in one boat.
Step 2: Apply condition II
If F is with C, then D must also be include(D) Hence, for balance, C and D join the boat with F and (B) So, one boat has \{B, C, D, F\.
Step 3: Apply condition III
Since B and C cannot be with G, G must be in the other boat.
Step 4: Verify boat capacity
Boat 1 = \{B, C, D, F\ (4 people).
Boat 2 = remaining \{A, E, G\. Capacity respecte(D)
\[ \boxed{Answer = G is in the other boat} \] Quick Tip: Always start with the forced condition (here, F and B together) and then apply the constraints step-by-step to distribute correctly.
If E gets the boat with F, which of the following is the complete and accurate list of the people who must be sitting in the other boat?
View Solution
Step 1: Apply condition I
If E is with F, then A must also be with them. So one boat has \{A, E, F\.
Step 2: Consider boat capacity
Maximum = 4 people per boat. If G also joins them, this boat = \{A, E, F, G\ (full).
Step 3: Apply condition III
Since B and C cannot be with G, they must be in the other boat. That boat also gets (D)
Step 4: Verify both boats
Boat 1 = \{A, E, F, G\.
Boat 2 = \{B, C, D\.
\[ \boxed{Answer = C, D and B} \] Quick Tip: When distributing groups, always keep track of maximum capacity constraints along with forced pairings.
Instructions [59 - 60 ]
A series of figures has been shown on the left. Find the figure in the place of ? from the figures on the right.
A series of figures is given. Find the figure that comes in place of '?'.
View Solution
Step 1: Observe first three figures
- First figure: dense grid of many horizontal and vertical lines.
- Second figure: reduced version (fewer vertical and horizontal lines).
- Third figure: further reduced (two crossing lines).
Step 2: Pattern deduction
The pattern reduces by removing one horizontal and one vertical line step by step.
Step 3: Next stage
From the third box (cross of two lines), removing one more line will leave a single vertical line.
\boxed{\text{Answer = }\ Quick Tip: For figure series, carefully check whether complexity reduces (lines decreasing) or increases (lines adding) step by step.
Identify the missing figure in the series:
View Solution
Step 1: Understanding the relation between the first and second figures.
In the first figure, there are three dots and lines extending upwards. In the second figure, the dots remain in the same positions, but the lines flip themselves by 180° to extend downwards.
Step 2: Applying the same rule from figure 3 to figure 4.
In figure 3, there are two dots with lines opening left. To obtain figure 4, we apply the same transformation: the dots remain fixed, and the lines flip by 180°.
Step 3: Matching with the options.
When the lines of figure 3 are flipped, they open towards the right while the dots remain unchange(D) This matches option (C).
\[ \therefore \; \boxed{The correct missing figure is Option (C).} \] Quick Tip: In figure analogy problems, carefully check whether the change happens in the \emph{dots (positions)} or in the \emph{lines (directions)}. Here, only the lines flip, while the dots remain fixe(D)
Complete the following series: \[ (GMSY, \; IOUA, \; KQWC, \; ?) \]
View Solution
Step 1: Observe the pattern.
Each new term is formed by incrementing each letter of the previous term by +2 in the English alphabet.
Step 2: Check transition from \( KQWC \) to the next term. \[ K \; (+2) \;=\; M, \quad Q \; (+2) \;=\; S, \quad W \; (+2) \;=\; Y, \quad C \; (+2) \;=\; E \]
Step 3: Combine the letters.
Thus, the next term is: \[ MSYE \]
\[ \therefore \; \boxed{The next term is MSYE (Option A).} \] Quick Tip: In alphabetical series, check for arithmetic shifts (+1, +2, -1, et(C)) across each letter. Applying the same shift uniformly reveals the next sequence term.
If Mohan made STD calls (within 100 kms) for 30 min and spent 100 min on local calls with 30% on landline, 40% in GSM and 30% on Airtel, and Rohan spent 18 min on STD within 150 kms and spent 120 mins on local calls with 30%, 40% and 30% on GSM, landline and Airtel respectively, then who spent more?
View Solution
Step 1: Mohan’s STD calls.
STD rate (within 100 km) has two cases:
1) \(30 \times 1.5 = Rs.\,45\)
2) \(30 \times 2 = Rs.\,60\)
Step 2: Mohan’s Local calls (100 min).
- 30% on landline: \(30 \times 2 = Rs.\,60\)
- 40% on GSM: \(40 \times 1 = Rs.\,40\)
- 30% on Airtel: \(30 \times 1 = Rs.\,30\)
Total = \(130\).
Step 3: Mohan’s total.
Either \(130 + 45 = Rs.\,175\) or \(130 + 60 = Rs.\,190\).
Step 4: Rohan’s STD calls (within 150 km).
Two cases:
1) \(18 \times 1.5 = Rs.\,27\)
2) \(18 \times 2 = Rs.\,36\)
Step 5: Rohan’s Local calls (120 min).
- 30% GSM: \(36 \times 1 = Rs.\,36\)
- 40% Landline: \(48 \times 2 = Rs.\,96\)
- 30% Airtel: \(36 \times 1 = Rs.\,36\)
Total = \(168\).
Step 6: Rohan’s total.
Either \(168 + 27 = Rs.\,195\) or \(168 + 36 = Rs.\,201\).
\[ \therefore \; Even Mohan’s maximum (190) is less than Rohan’s minimum (195). Hence, Rohan spent more. \]
\[ \boxed{Answer: Rohan} \] Quick Tip: In such cost-comparison problems, always compute both minimum and maximum possible scenarios if multiple call rates are given. Then compare overlapping ranges.
A new SMS scheme was introduced @60p/local SMS, with an additional monthly charge of Rs. 35. Who will not benefit from the scheme? A person sending...
View Solution
Step 1: Old scheme.
Cost = \(1.5x\) (since old rate = Rs. 1.5 per SMS).
Step 2: New scheme.
Cost = \(0.6x + 35\).
Step 3: Find breakeven point.
For new scheme to be profitable: \[ 1.5x \geq 0.6x + 35 \] \[ 0.9x \geq 35 \] \[ x \geq 38.88 \]
So, from 39 SMS onward, the new scheme is cheaper.
Step 4: Compare with options.
If a person sends 38 SMS, he will not benefit.
\[ \therefore \; \boxed{Answer: 38 SMS (Option A)} \] Quick Tip: When comparing old vs new plan costs, always solve for the breakeven value of \(x\). Any value below that point is not beneficial for the new plan.
A bill of Rs. 199/Month is definitely not possible when you make only:
View Solution
Step 1: Target.
Bill = Rs. 199 = Rs. 99 (plan) + Rs. 100 (calls).
Step 2: Check each option.
Option A:
30 STD Airtel (500+ km) = \(30 \times 1.5 = Rs.\,45\).
55 local GSM/Airtel = Rs. 55.
Total = 100. Possible.
\underline{Option B:
16 STD Airtel (15 km) = \(16 \times 1.5 = Rs.\,24\).
76 local = Rs. 76.
Total = 100. Possible.
\underline{Option C:
10 STD (250 km): Airtel, GSM, Landline = \(10 \times (1.5+2.5+2.5) = Rs.\,65\).
30 local = Rs. 30.
Total = 95 to 125. Possible.
\underline{Option D:
8 Airtel STD (500+ km) = Rs. 12,
4 GSM STD (500+ km) = Rs. 12,
7 Landline STD (500+ km) = Rs. 24.5.
Total = Rs. 48.5.
55 local = 55.
Total = 103.5 to 158.5. Not 100. Impossible.
\[ \therefore \; \boxed{Option D is not possible. \] Quick Tip: Always fix the required bill equation first (Plan + Calls = Target). Then test each option’s possible variation range. If the total can’t reach the exact requirement, it’s impossible.
A person makes 12 minutes of ISD calls in a month. If 80% of his ISD bill came from calling the rest of the world, then the ISD calls for the minimum duration were made to which of the following group of countries?
View Solution
Step 1: Recall ISD call rates.
- USA, Canada, Europe (Fixed line): Rs. 7/min
- Gulf, Europe (Mobile), SAARC: Rs. 10/min
- Rest of the world: Rs. 40/min
Step 2: Interpret the given condition.
The person makes 12 minutes of ISD calls. 80% of his bill comes from “Rest of the world” calls.
Since “Rest of the world” has a very high rate (Rs. 40/min), even a small number of minutes could form 80% of the total bill.
Step 3: Why the group for minimum duration cannot be fixe(D)
- If only 1 minute is made to “Rest of the world” (Rs. 40), it can already exceed the combined amount of several minutes made to cheaper categories.
- Alternatively, more minutes can also be spent on “Rest of the world” while keeping 80% ratio intact.
Thus, the exact group where the “minimum duration” of calls occurred cannot be uniquely determined because the proportion depends on distribution between categories.
\[ \therefore \; \boxed{Cannot be determined (Option D)} \] Quick Tip: In such ISD billing problems, focus on cost-per-minute vs. total share of bill. A higher rate can dominate the bill even with fewer minutes, making duration comparison indeterminate.
What is the difference between the average demand and the average production of the five companies taken together?
View Solution
Step 1: Calculate total deman(D)
\[ 3000 + 600 + 2500 + 1200 + 3300 = 10600 \] \[ Average demand = \frac{10600}{5} = 2120 \]
Step 2: Calculate total production.
\[ 1500 + 1800 + 1000 + 2700 + 2200 = 9200 \] \[ Average production = \frac{9200}{5} = 1840 \]
Step 3: Find difference.
\[ 2120 - 1840 = 280 \]
\[ \therefore \; \boxed{280} \] Quick Tip: When comparing averages, always add totals first and then divide, instead of averaging individual values directly.
The production of the company D is how many times of the production of the company A?
View Solution
Production of Company D = 2700.
Production of Company A = 1500.
\[ \frac{2700}{1500} = 1.8 \]
\[ \therefore \; \boxed{1.8} \] Quick Tip: To compare two values, divide the larger by the smaller to get the multiple directly.
What is the angle for the sector representing paper cost?
View Solution
Step 1: Understand total circle.
360° = 100%.
Step 2: Paper share.
Paper cost share = 10%.
Step 3: Calculate angle.
\[ \frac{10}{100} \times 360 = 36^\circ \]
\[ \therefore \; \boxed{36^\circ} \] Quick Tip: In pie-charts, each sector angle = (Percentage share × 360) ÷ 100.
For a given issue of the magazine, the 2% of the cost is Rs. 2000 and the print-run is 12,500 copies. What should be the sale price if the publisher desires a profit of 5 percent?
View Solution
Step 1: Find total cost price ((C)P).
2% of (C)P = Rs. 2000 \[ \frac{2}{100} \times (C)P = 2000 \] \[ (C)P = \frac{2000 \times 100}{2} = Rs.\,100000 \]
Step 2: Add profit.
Profit = 5% \[ Total S.P = 1.05 \times 100000 = Rs.\,105000 \]
Step 3: Sale price per copy.
Copies = 12500 \[ S.P per copy = \frac{105000}{12500} = Rs.\,8.40 \]
\[ \therefore \; \boxed{Rs.\,8.40} \] Quick Tip: When profit percentage is given, always calculate total selling price = (1 + Profit%) × (C)P. Then divide by number of units for per-item price.
If ‘water’ is called ‘food’, ‘food’ is called ‘tree’, ‘tree’ is called ‘sky’, ‘sky’ is called ‘wall’, on which of the following does a ‘fruit’ grow?
View Solution
Normally, a fruit grows on a tree.
But as per the code:
‘Tree’ → called ‘Sky’.
So, in the code language, fruit grows on ‘Sky’.
\[ \therefore \; \boxed{Sky} \] Quick Tip: In coding/renaming problems, carefully trace step by step: identify the real object and then replace with the new coded name.
She is a close friend of _______.
View Solution
The sentence requires a possessive pronoun to show belonging.
- "my" is a possessive adjective, not suitable here.
- "I" is a subject pronoun, incorrect.
- "me" is an object pronoun, not suitable.
- "mine" is a possessive pronoun, which correctly shows association.
\[ \therefore \; \boxed{mine} \] Quick Tip: Remember: Use "my" before a noun, but "mine" when the noun is implied (friend of mine).
He took care of her _______ she was restored to health.
View Solution
The sentence implies continuation of care up to a certain point in time.
- "when" indicates simultaneity, not correct.
- "before" and "after" change the meaning.
- "till" correctly conveys "up to the time she was restored".
\[ \therefore \; \boxed{till} \] Quick Tip: Use "till" or "until" when the action continues up to a point of time.
Choose the correct option: The man _______ his appearance completely since then.
View Solution
The phrase "since then" indicates that the action started in the past and is relevant to the present.
- "is changing" shows present continuous, not suitable.
- "changed" is past simple, but "since then" usually requires present perfect.
- "has changed" (present perfect) is correct.
- "is changed" is passive, incorrect here.
\[ \therefore \; \boxed{has changed} \] Quick Tip: "Since" with a point of time usually goes with present perfect tense.
From the options below, choose the word with the incorrect spelling:
View Solution
The British English spelling is "Diarrhoea", whereas "Diarrhea" is the American English spelling.
Since the question expects the British form, "Diarrhea" is considered incorrect.
Other words—"Diaper", "Dichotomy", and "Dias"—are correctly spelle(D)
\[ \therefore \; \boxed{Diarrhea} \] Quick Tip: Always check whether the exam follows British or American spelling conventions. For example, "colour" (UK) vs "color" (US).
Choose the word spelt correctly:
View Solution
- "superintendant" is misspelt; correct spelling is "superintendent".
- "sleve" is misspelt; correct spelling is "sleeve".
- "alloted" is misspelt; correct spelling is "allotted".
- "dissipate" is correctly spelt, meaning "to scatter or disappear".
\[ \therefore \; \boxed{dissipate} \] Quick Tip: When solving spelling questions, eliminate obvious misspellings first; often only one correct spelling remains.
Fill in the blanks with the correct pair of words:
He lives ___ Bangaluru ___ 115, Richmond Roa(D)
View Solution
- "in" is used for larger areas like cities.
- "at" is used for a specific location.
So the correct sentence is: \[ He lives in Bangaluru at 115, Richmond Roa(D) \]
\[ \therefore \; \boxed{in - at} \] Quick Tip: Use "in" for general places (cities, countries) and "at" for precise locations (address, spot).
Fill in the blanks with the correct pair of words:
‘Aurally challenged’ is a _______ for the _______.
View Solution
"Aurally challenged" is a polite way of referring to someone who is deaf.
This makes it a euphemism, not a metaphor, simile, or synonym.
\[ \therefore \; \boxed{euphemism - deaf} \] Quick Tip: A euphemism is a softer or more polite expression used instead of a direct, sometimes harsh term.
Fill in the blanks with the correct pair of words:
If error is a _____, fault is _______.
View Solution
- An "error" is usually a mistake, a minor miscalculation.
- A "fault" is more permanent, like a defect or flaw.
Hence the correct analogy is: \[ Error : mistake :: Fault : defect \]
\[ \therefore \; \boxed{mistake - a defect} \] Quick Tip: In analogy questions, always pair words with their most common contextual meaning.
Fill in the blanks with the correct pair of words:
The man has _____ the rules of ethical conduct; he is _____ a beast.
View Solution
- "Flaunted" means to show off, which is incorrect here.
- The correct word is "flouted," meaning to disregard or openly disobey rules.
- "Virtually" means almost, which fits the sense of exaggeration.
So the correct sentence is: \[ The man has flouted the rules of ethical conduct; he is virtually a beast. \]
\[ \therefore \; \boxed{flouted - virtually} \] Quick Tip: Do not confuse "flaunt" (to show off) with "flout" (to disregard rules).
Which punctuation mark is missing in the following sentence?
Part of Australia is known to the natives as The Outback.
View Solution
Since the words "The Outback" are being emphasized as a title or phrase, inverted commas should be used around them.
\[ \therefore \; \boxed{inverted commas} \] Quick Tip: Use inverted commas when introducing special names, phrases, or direct quotes.
Which punctuation mark is missing in the following sentence?
I know that you want to learn to drive Rima but you are too young.
View Solution
The sentence contains two clauses that need separation:
"I know that you want to learn to drive Rima" and "but you are too young."
A comma after "Rima" is appropriate.
\[ \therefore \; \boxed{comma} \] Quick Tip: Use a comma before conjunctions (but, and, or) when connecting two independent clauses.
Select the word closest in meaning to: Veracious
View Solution
The word "veracious" means "speaking or representing the truth."
Thus, the closest synonym is "truthful."
\[ \therefore \; \boxed{Truthful} \] Quick Tip: Do not confuse "veracious" (truthful) with "voracious" (extremely hungry).
Select the word closest in meaning to: Perturb
View Solution
"Perturb" means to disturb greatly, to make anxious, or to unsettle.
Thus, the correct synonym is "Disturb greatly."
\[ \therefore \; \boxed{Disturb greatly} \] Quick Tip: Perturb is often used in contexts of emotional unease or scientific disturbance (e.g., perturbations in orbit).
Choose the option that is the closest in meaning to the phrases in bold:
He was a king who ruled his subjects with a high han(D)
View Solution
The phrase "with a high hand" means "in an oppressive or authoritarian manner."
Hence, "oppressively" is the closest in meaning.
\[ \therefore \; \boxed{oppressively} \] Quick Tip: Idioms like "with a high hand" mean dominance or authoritarian control. Match the tone carefully.
Choose the option that is the closest in meaning to the phrases in bold:
I racked my brains to solve this difficult problem.
View Solution
The idiom "rack my brains" means to make a great mental effort or to think very har(D)
Thus, the correct option is "I subjected my mind to hard thinking."
\[ \therefore \; \boxed{I subjected my mind to hard thinking} \] Quick Tip: "Rack one's brains" does not mean consulting others or reading more; it specifically means straining the mind to think har(D)
I was supposed to give a speech to my English class, but I got cold feet and I didn’t go.
Select the most appropriate meaning of the underlined idiomatic phrase.
View Solution
The idiom "got cold feet" does not literally refer to feet being col(D) It means becoming too fearful or nervous to do something.
Here, the speaker avoided giving a speech due to nervousness.
\[ \therefore \; \boxed{I got too nervous and I didn’t go. \] Quick Tip: The idiom "cold feet" always refers to nervous hesitation or fear, not actual coldness.
Take care of what you say! You will have to eat your words!
Select the most appropriate meaning of the underlined idiomatic phrase.
View Solution
The idiom "eat your words" means to retract or take back something one said because it turned out wrong or false.
\[ \therefore \; \boxed{You will have to take back what you have sai(D) \] Quick Tip: "Eat your words" = retract your statement. It is never used in the literal sense.
Which two sentences convey the same idea?
1) Shouldn’t they have checked your tickets?
2) I wonder if they should have checked your tickets.
3) I want to know if they checked your tickets.
4) They should have checked your tickets.
View Solution
Step 1: Analyze sentence (1)
“Shouldn’t they have checked your tickets?” expresses a feeling of expectation or reproach. The speaker believes the tickets should already have been checke(D)
Step 2: Analyze sentence (2)
“I wonder if they should have checked your tickets.” indicates doubt or speculation. The speaker is unsure whether ticket-checking was necessary.
Step 3: Analyze sentence (3)
“I want to know if they checked your tickets.” is a straightforward inquiry about whether the act of checking took place. It does not imply necessity, only curiosity about fact.
Step 4: Analyze sentence (4)
“They should have checked your tickets.” is a clear statement that checking tickets was the expected or required action.
Step 5: Compare meanings
- Sentence (1) and (4) both carry the idea that ticket-checking was required and should have already been done.
- Sentence (2) conveys doubt, and sentence (3) is just a factual inquiry.
\[ \therefore \quad Sentences 1 and 4 convey the same ide(A) \]
\[ \boxed{1 and 4 \quad \Rightarrow \quad Correct Answer: (C)} \] Quick Tip: When comparing sentence meanings, focus on whether the tone expresses doubt, expectation, fact, or necessity. Sentences with similar modal expressions (“should have”) usually align in meaning.
He was magnanimous and his benevolence made him give to charity.
Choose a single word which is opposed to the meaning contained in the sentence.
View Solution
Step 1: Analyze given words in the sentence
- “Magnanimous” means generous, forgiving, especially towards a rival or weaker person.
- “Benevolence” refers to the quality of being kind-hearted, charitable, or well-meaning.
Step 2: Identify the required opposite meaning
The sentence describes kindness and generosity. We need the antonym that represents the opposite trait—selfishness or meanness.
Step 3: Check the options
- (A) mean: directly opposite to generous, conveys selfishness.
- (B) cruel: opposite of compassionate, but not directly of “magnanimous.”
- (C) snobbish: refers to arrogance, not the opposite of generosity.
- (D) tyrannical: refers to oppressive rule, not the opposite of generosity in this context.
\[ \therefore \quad \boxed{Option (A) mean is correct.} \] Quick Tip: When solving antonym-based questions, always match the context of the sentence. “Magnanimous” contrasts best with “mean” because both describe generosity vs. selfishness.
Biannual is
Choose a single word which is opposed to the meaning contained in the sentence.
View Solution
Step 1: Meaning of "Biannual"
The prefix "bi-" generally means two or twice. The word "annual" refers to "year". Hence, "biannual" means "twice in one year".
Step 2: Eliminating Wrong Options
- Option A: "once in two years" actually means "biennial", not "biannual". Wrong.
- Option B: "every year" is just "annual". Wrong.
- Option D: "after every two years" also corresponds to "biennial". Wrong.
Step 3: Correct Option
Thus, "biannual" = "twice a year". Hence, the correct answer is option (C).
\[ \boxed{Biannual = Twice a year} \] Quick Tip: Remember: \textbf{Biennial} = once in two years, while \textbf{Biannual} = twice in one year.
Choose the odd one out:
View Solution
Step 1: Meaning of the Words
- Temporal: relating to worldly affairs, not permanent.
- Ephemeral: short-lived, lasting a very short time.
- Transient: temporary, not lasting.
- Eternal: everlasting, without en(D)
Step 2: Identifying the Odd One
The first three options (A, B, C) all indicate something temporary or short-live(D)
Option D, "eternal," is opposite in meaning, since it refers to something permanent and forever.
\[ \boxed{Odd one = Eternal} \] Quick Tip: In odd-one-out questions, look for the semantic similarity of most words and spot the one with an opposite or unrelated meaning.
If "inter" means between (as in interstate), "intra" (as in intravenous) means _____.
View Solution
Step 1: Meaning of the Prefix "Inter"
"Inter" means "between" or "among", e.g., "interstate" means between states.
Step 2: Meaning of the Prefix "Intra"
"Intra" means "inside" or "within". For example, "intravenous" means within a vein.
Step 3: Option Analysis
- Option A "into": does not exactly match "within". Wrong.
- Option B "onto": implies movement to a surface. Wrong.
- Option D "without": opposite in meaning. Wrong.
- Option C "within": correctly matches the meaning of "intra". Correct.
\[ \boxed{Intra = Within} \] Quick Tip: Remember: "Inter" = between, "Intra" = within. Example: Interstate highway (between states), Intramural sports (within the school/university).
Match the part of speech (in bold) to their usage (down).
View Solution
Step 1: Understanding usages of "down"
- Sentence 5: "The fire engine came rushing down the hill" → shows relation, hence a Preposition. (2-5)
- Sentence 8: "The porter was hit by the down train" → "down" describes train, hence an Adjective. (1-8)
- Sentence 6: "He has seen the ups and downs of life" → "downs" is a thing, hence a Noun. (3-6)
- Sentence 7: "Down with the tyrant!" → denotes action, hence a Verb. (4-7)
\[ \boxed{Correct Match = 1-8, 2-5, 3-6, 4-7} \] Quick Tip: Many words in English can function as multiple parts of speech depending on context (e.g., "down", "above", "after").
Match the idioms from Column I with Column II.
View Solution
Step 1: Common idiomatic expressions
- "As deaf as a post" → (1-7)
- "As bitter as gall" → (2-5)
- "As unpredictable as the weather" → (3-8)
- "As slippery as an eel" → (4-6)
\[ \boxed{Correct Match = 1-7, 2-5, 3-8, 4-6} \] Quick Tip: Idioms often use exaggerated comparisons. Memorizing common pairs helps in elimination-based questions.
Match the part of speech (in bold) to their usage (above).
View Solution
Step 1: Meaning of "above" in different contexts
- Sentence 8: "The above information is for the public" → "above" describes "information", hence Adjective. (1-8)
- Sentence 7: "Look above the mantelpiece" → "above" modifies verb "look", hence an Adverb. (2-7)
- Sentence 5: "Rain comes from above" → "above" is a thing/place, hence a Noun. (3-5)
- Sentence 6: "His conduct is above suspicion" → "above" shows relation, hence a Preposition. (4-6)
\[ \boxed{Correct Match = 1-8, 2-7, 3-5, 4-6} \] Quick Tip: Words like "above" can act as noun, verb, adjective, adverb, or preposition depending on sentence structure.
Choose the segment with the error. If there is no error, choose 4.
Idli and Sambar/1 make the breakfast/2 in the South./3
View Solution
Step 1: Identify subject-verb agreement.
"Idli and Sambar" are joined by "and" and thus function as a singular dish (treated as one entity).
Step 2: Correct verb usage.
The correct verb should be "makes" instead of "make".
\[ \boxed{Error is in Segment 2} \] Quick Tip: When two words joined by "and" form a single idea, treat them as singular and use a singular ver(B)
Choose the segment with the error. If there is no error, choose 4.
Your account should/1 have been credited/2 with three months’ interest./3
View Solution
The sentence "Your account should have been credited with three months' interest" is grammatically correct.
No correction is required in any segment.
\[ \boxed{No error in the sentence} \] Quick Tip: Always check for tense and passive construction errors. If none exist, choose "No error".
Choose the sentence where the underlined word is used appropriately.
View Solution
Step 1: Analyze each option.
- Option A: "Who’s" means "Who is"; should be "Whose". Wrong.
- Option B: "Whose" is incorrect here; should be "Who's". Wrong.
- Option C: "who you met" is incorrect; should be "whom you met". Wrong.
- Option D: "whom to call" is correct, since "whom" is the object. Correct.
\[ \boxed{Correct usage = Whom (Option D)} \] Quick Tip: Remember: "Who" is used as a subject, while "Whom" is used as an object.
1. Can you imagine his forgetting his own birthday?
2. Can you imagine him forgetting his own birthday?
View Solution
Step 1: Examine Sentence 1.
"his forgetting his own birthday" contains two possessives ("his"), which is awkward and incorrect.
Step 2: Examine Sentence 2.
"him forgetting his own birthday" is grammatically correct.
\[ \boxed{Correct = Sentence 2 only} \] Quick Tip: Avoid double possessives. Instead, use object pronouns before gerunds where appropriate.
1. Recently I read about a unique wedding that took place in the newspaper.
2. Recently I read in the newspaper about a unique wedding that took place.
View Solution
Step 1: Analyze Sentence 1.
"that took place in the newspaper" is illogical. Weddings do not happen in newspapers. Wrong.
Step 2: Analyze Sentence 2.
"Recently I read in the newspaper about a unique wedding that took place" is incomplete; it should mention where the wedding took place. Hence also incorrect.
\[ \boxed{Both sentences are wrong} \] Quick Tip: When spotting errors, always check logical meaning in addition to grammar. A grammatically correct sentence can still be semantically incorrect.
Complete the given sentence by choosing the correct phrase.
You cannot succeed unless
View Solution
Since the sentence is in the present tense, options (B) and (C) are incorrect.
"Unless" introduces a condition, so the second part must be positive. Hence, option (A) is eliminated.
Thus, the correct answer is (D).
\[ \boxed{Correct completion: You cannot succeed unless you work hard.} \] Quick Tip: Remember: "unless" means "if not". The second clause must always be positive (e.g., "unless you work hard" not "unless you do not work hard").
Re-arrange the scrambled segments in logical order to make a complete sentence.
1. to place where more opportunities are available
2. and so there is a great demand for English
3. for professional and economic growth
4. because it takes one outside one’s own community
5. English is language of opportunities
View Solution
- Segment (5) introduces the topic: "English is language of opportunities".
- Segment (4) explains why: "because it takes one outside one's own community".
- Segment (1) continues: "to a place where more opportunities are available".
- Segment (3) adds: "for professional and economic growth".
- Segment (2) concludes: "and so there is a great demand for English".
\[ \boxed{Order = 5-4-1-3-2} \] Quick Tip: While rearranging, always look for the introductory statement first, then logical connectors (reason, effect, conclusion). Keywords like "because", "so", "therefore" help in ordering.
Choose the best construction:
View Solution
- Sentence requires a conditional in the past perfect tense.
- Option (A) is incorrect because "would have" cannot follow "if".
- Option (B) uses simple past incorrectly.
- Option (C) mixes present and past wrongly.
- Option (D) is correct: "If you had taken care, you wouldn’t have got typhoid".
\[ \boxed{Correct = Option D} \] Quick Tip: For conditionals: Present/Future possibility → If + present, will + verb. Past unreal → If + past perfect, would have + past participle. Identify the tense of the result clause first.
At times, we are all _____ to be mistaken.
View Solution
The context of the sentence indicates the possibility of error. "Likely" is the most appropriate word.
Thus, the correct option is (B).
\[ \boxed{At times, we are all likely to be mistaken.} \] Quick Tip: "Apt" means suitable, "likely" shows possibility. In contexts of probability or chance, prefer "likely".
He hardly cares, _____?
View Solution
Since the statement is negative ("hardly cares"), the question tag must be positive.
Thus, the correct question tag is "does he?".
\[ \boxed{Correct tag = does he?} \] Quick Tip: Rule: If the main sentence is negative, the tag is positive and vice versa. Match the auxiliary verb in the sentence with the tag.
Identify the figure of speech: "As proud as a peacock."
View Solution
A simile makes a direct comparison between two unlike things using “like” or “as.”
The phrase “as proud as a peacock” follows the classic as…as pattern, comparing the degree of pride (quality of the subject) to the peacock, which is culturally associated with showy pride.
Structure breakdown
- Comparator words: as … as
- Quality compared: proud
- Image/source of comparison: peacock
→ Therefore, it’s a simile.
Why not the others?
Metaphor: Implies a comparison without “like/as.” e.g., “He is a peacock.” (Not used here.)
Apostrophe: Directly addressing an absent person/thing/abstract idea. e.g., “O Death, where is thy sting?” (Not happening here.)
Epigram: A brief, witty statement with a twist. e.g., “I can resist everything except temptation.” (This phrase isn’t witty or paradoxical; it’s a comparison.)
\[ \boxed{Figure of speech = Simile} \] Quick Tip: Similes always use "like" or "as ... as" to make direct comparisons. Spotting these words quickly helps identify a simile.
Identify the figure of speech: "Death lays his icy hand on kings".
View Solution
Step 1: Understanding the sentence.
The sentence says "Death lays his icy hand on kings." Here, "Death" is shown as if it is a person capable of laying hands.
Step 2: Analyzing the figure of speech.
- Personification: Attributing human qualities to non-human entities.
- Exclamation: A sudden cry expressing strong emotion.
- Simile: A direct comparison using "like" or "as".
- Anticlimax: An abrupt decline from a strong idea to something trivial.
Step 3: Correct identification.
Since "Death" is given the human quality of laying a hand, it is clearly Personification.
\[ \boxed{Figure of speech = Personification} \] Quick Tip: Personification is when non-human things are given human qualities (actions, emotions, speech). Look for human verbs applied to abstract ideas.
The “Frozen Feelings” being talked about are about
View Solution
Step 1: Identifying the phrase in the passage.
The passage explains "frozen feelings" as emotions that were imprinted deeply in childhood due to trauma.
Step 2: Checking context.
These emotions resurface later in life when a similar situation occurs, making us feel and behave childishly.
Step 3: Elimination of wrong options.
- (B) "Childhood learning patterns" is wrong because the passage emphasizes trauma, not learning patterns.
- (C) "Inability to learn as an adult" is not stated in the passage.
- (D) "None of the above" is incorrect since (A) is correct.
Step 4: Conclusion.
Hence, "frozen feelings" are about negative childhood experiences.
\[ \boxed{Frozen Feelings = Negative childhood experiences} \] Quick Tip: When reading comprehension questions, always focus on the tone of words like "deal with", which usually suggest something problematic or negative.
A "glitch" is
View Solution
Step 1: Usage in the passage.
The passage mentions that when a traumatic situation is repeated, it creates a "glitch" in learning and behavior.
Step 2: Meaning of glitch.
A "glitch" means a sudden fault, malfunction, or breakdown in a system. Here, it is used metaphorically to describe human memory and emotions.
Step 3: Eliminating wrong options.
- (A) "a ditch" is irrelevant.
- (B) "uneasy emotions" is incomplete; glitch is stronger than just uneasiness.
- (D) "learning patterns" is incorrect.
Step 4: Correct match.
Thus, "glitch" = sudden malfunction or breakdown.
\[ \boxed{Glitch = Sudden malfunction or breakdown} \] Quick Tip: For vocabulary in context, think of the most common usage of the word in modern English (e.g., "computer glitch" = sudden malfunction).
Identify the correct sentence, based on the paragraph.
View Solution
Step 1: Checking option (A).
The passage clearly states: "The process of change need not be traumatic." Hence, option (A) is incorrect.
Step 2: Checking option (B).
The passage says childish behavior occurs only when traumatic "frozen feelings" are triggered, not always. Thus, option (B) is also incorrect.
Step 3: Final conclusion.
Since both (A) and (B) are incorrect, the correct answer is (C).
\[ \boxed{Correct Answer = Both sentences are incorrect} \] Quick Tip: Always cross-check statements with the exact wording of the passage. Even small differences in meaning (like “need not be traumatic” vs. “needs to be traumatic”) make an option wrong.
Dendrochronology is
View Solution
Step 1: Understanding the term.
"Dendro" means "tree" and "chronology" means "study of time". Hence, dendrochronology is related to the study of time through trees.
Step 2: Scientific method.
The method involves analyzing the patterns of growth rings in trees. Each ring corresponds to one year of growth, which can be used to determine the tree's age and environmental conditions during different years.
Step 3: Eliminating incorrect options.
- (B) refers to ice core sampling, not tree rings.
- (C) refers to glaciology, the study of glaciers.
- (D) refers to geomorphology, the study of landforms.
\[ \boxed{Dendrochronology = Tree-ring dating method} \] Quick Tip: In General Awareness, break the word into parts: "dendro" = tree, "chronology" = time. That leads to tree-rings used for dating.
Which company launched the first mobile phone operation in India?
View Solution
Step 1: Historical context.
India’s first mobile phone call was made in 1995. The network provider for this historic event was Modi Telstra.
Step 2: Elimination of wrong options.
- (A) Bharti Airtel became a major telecom player later, but did not launch the first mobile service.
- (B) Essar was also in telecom but not the pioneer.
- (C) Max Touch was launched later.
\[ \boxed{First mobile operation in India = Modi Telstra (1995)} \] Quick Tip: For static GK, remember telecom milestones: Modi Telstra → first, Bharti Airtel → largest private operator later. Timeline-based memory helps here.
Which is the longest running English language TV cartoon in history, first launched by Warner Brothers in 1969 exclusively for television, and is now popular fare on the Cartoon Network?
View Solution
Step 1: Cartoon history.
"Scooby Doo, Where Are You?" was first aired in 1969 by Warner Brothers for CBS. It later became one of the longest-running animated series and is still popular on Cartoon Network.
Step 2: Eliminating other options.
- (B) Tom and Jerry started in the 1940s, but as theatrical shorts, not as a continuous TV series.
- (C) Popeye started earlier but was not the longest continuous TV series.
- (D) Johnny Bravo is much later (1995) and shorter in duration.
\[ \boxed{Longest running English cartoon TV series = Scooby Doo (1969–present)} \] Quick Tip: When in doubt with entertainment GK, always connect launch year + channel history. Scooby Doo (1969) was a Warner Bros. production still running on Cartoon Network.
The expansion for BIFR, in the context of the Indian Industry, is:
View Solution
Step 1: Understanding the context.
BIFR was established under the Sick Industrial Companies Act, 1985 to determine the viability of sick industrial companies and to take remedial measures.
Step 2: Expansion.
The correct expansion is "Board for Industrial and Financial Reconstruction".
\[ \boxed{BIFR = Board for Industrial and Financial Reconstruction} \] Quick Tip: For abbreviations, always look for keywords: "Board" and "Reconstruction" are formal government terms. Avoid distractors like “Bureau” or “Investment”.
What is Ekistics?
View Solution
Step 1: Definition.
Ekistics is a scientific discipline concerned with the study of human settlements, their structure, growth, and design.
Step 2: Origin.
The term was coined by Constantinos Doxiadis, a Greek architect and town planner.
Step 3: Elimination.
- (A) Not related to sports.
- (B) Not related to human biology.
- (C) Not related to tricks.
\[ \boxed{Ekistics = Science of human settlements} \] Quick Tip: Remember roots: "Oikos" (Greek) = house/home, from ecology. Ekistics → study of settlements.
What is Red Herring in an IPO?
View Solution
Step 1: Definition.
A Red Herring Prospectus (RHP) is a preliminary registration document filed with SEBI (Securities and Exchange Board of India) before an IPO. It provides information about the company without stating the final price or number of shares offered.
Step 2: Elimination.
- (B) "Submission of Form" is generic and not specific.
- (C) "Funds Generated" is an outcome, not a document.
- (D) "Minimum Offer" refers to pricing details, not a prospectus.
\[ \boxed{Red Herring = Prospectus in IPOs} \] Quick Tip: In stock market terms, "Red Herring Prospectus" is the preliminary IPO document. Always link IPO = Prospectus.
Eight O’clock Coffee, a US based coffee marketer, is a group company of
View Solution
Step 1: Company background.
Eight O’clock Coffee is one of the oldest coffee brands in the US, established in 1859.
Step 2: Acquisition.
In 2006, Tata Coffee (part of Tata Group) acquired Eight O’clock Coffee from Kraft Foods.
\[ \boxed{Eight O’clock Coffee = Tata Group company} \] Quick Tip: Static GK brands → Tata acquired Eight O’Clock Coffee in the US through Tata Global Beverages.
Bio-diesel is extracted from the following plant:
View Solution
Step 1: Understanding biodiesel.
Biodiesel is a renewable, biodegradable fuel manufactured from vegetable oils, animal fats, or recycled restaurant grease. It is used as an alternative to conventional diesel.
Step 2: The role of Jatropha.
The seeds of the Jatropha plant contain a high percentage of oil (30–40%). This oil can be extracted and converted into biodiesel through a chemical process known as transesterification.
Step 3: Eliminating wrong options.
- Hibiscus is an ornamental/medicinal plant, not used for biodiesel.
- Aloe Vera is used in cosmetics and medicine, not fuel.
- Chamomile is used in herbal tea and medicines, not biodiesel.
\[ \boxed{Biodiesel is mainly extracted from the seeds of Jatropha plant.} \] Quick Tip: Jatropha is widely promoted in India and other tropical countries as a sustainable source of biodiesel.
Which woman tennis player won the maximum number of Grand Slam singles titles in the history of tennis?
View Solution
Step 1: Review of tennis history.
- Margaret Court of Australia won the maximum number of Grand Slam singles titles in history: 24.
- Serena Williams follows closely with 23 titles, but the question refers to the overall maximum.
Step 2: Eliminating other options.
- (A) Steffi Graf: 22 titles.
- (B) Martina Navratilova: 18 titles (though she holds the most doubles titles).
- (C) Billie Jean King: 12 titles.
Thus, the correct answer is Margaret Court.
\[ \boxed{Greatest in Grand Slam singles titles = Margaret Court (24)} \] Quick Tip: Sports GK → Court holds 24 titles, record in women’s singles. Steffi Graf = 22, Serena Williams = 23 (recent).
What is the nickname of New York City?
View Solution
Step 1: Origin of the nickname.
New York City is famously called the "Big Apple". The term became popular in the 1920s, originally associated with horse racing, but later it became symbolic of NYC’s cultural and economic significance.
Step 2: Eliminating wrong options.
- (A) and (C) are fictitious nicknames.
- (D) is wrong since the correct option is given.
\[ \boxed{Nickname of New York = Big Apple} \] Quick Tip: City nicknames: New York = Big Apple, Chicago = Windy City, Paris = City of Light.
Which was the first Indian company to be listed in NASDAQ?
View Solution
Step 1: Context.
Infosys became the first Indian company to be listed on the NASDAQ in 1999. This was a milestone for India’s IT sector.
Step 2: Eliminating wrong options.
- (A) TCS was listed later.
- (B) Wipro is also a major IT company but not the first.
- (D) Cognizant is a US-based IT company, not Indian.
\[ \boxed{First Indian company on NASDAQ = Infosys (1999)} \] Quick Tip: Timeline tip: Infosys (1999) was first Indian co. on NASDAQ, Wipro and TCS came later.
"TAREGNA" – a village in Bihar was in the news because of
View Solution
Step 1: Event background.
Taregna, a village in Bihar, gained worldwide attention in 2009 as one of the best places to view the longest solar eclipse of the 21st century.
Step 2: Elimination.
- (A) No political event connected.
- (C) Hillary Clinton’s visit was elsewhere.
- (D) No massacre incident tied to Taregna.
\[ \boxed{Taregna = Famous for solar eclipse viewing (2009)} \] Quick Tip: Current Affairs → Taregna, Bihar was prime spot for 2009 solar eclipse. Remember eclipse locations.
The driver for Formula One’s Force India Team is
View Solution
Step 1: About Force India F1.
Force India was an Indian-owned Formula One team, founded by Vijay Mallya. Adrian Sutil was one of its key drivers.
Step 2: Eliminating others.
- (A) Mark Webber raced for Red Bull.
- (C) Felipe Massa raced for Ferrari.
- (D) Jenson Button raced for Brawn GP/McLaren.
\[ \boxed{Force India driver = Adrian Sutil} \] Quick Tip: In motorsport GK, associate Force India (2008–2018) with drivers: Adrian Sutil, later Giancarlo Fisichella.
MDRT – Million Dollar Round Table consists of
View Solution
Step 1: Definition.
MDRT is a prestigious global association of financial and life insurance professionals, known for excellence in sales and ethics.
Step 2: Eliminating wrong options.
- (A) Not industrialists.
- (B) Not golfers.
- (D) Not sports persons.
\[ \boxed{MDRT = Global Association of Life Insurance professionals} \] Quick Tip: MDRT = prestigious global club for high-performing insurance professionals. Not wealth or sports related.
Who declares the “Credit Policy” of India?
View Solution
Step 1: Role of RBI.
The Reserve Bank of India declares the credit policy, also known as the Monetary Policy, which governs interest rates, liquidity, and inflation control.
Step 2: Elimination.
- (A) Finance Ministry handles fiscal policy, not credit policy.
- (C) Commerce Ministry deals with trade.
- (D) Indian Bank’s Association is an industry body, not a policymaker.
\[ \boxed{Credit Policy = Declared by RBI} \] Quick Tip: Financial GK → RBI sets Monetary/Credit policy; Finance Ministry handles fiscal policy.
Name of the body which regulates the stock Exchanges in India is
View Solution
Step 1: Definition.
The Securities and Exchange Board of India (SEBI) is the regulatory body that oversees and regulates the stock exchanges and securities market in India. Established in 1992, it protects investor interests and promotes fair practices.
Step 2: Elimination.
- (A) CBI is Central Bureau of Investigation.
- (B) CID is Crime Investigation Department.
- (C) SHCIL is Stock Holding Corporation of India Ltd (not a regulator).
\[ \boxed{Stock Exchange regulator in India = SEBI} \] Quick Tip: Stock Market GK: SEBI regulates stock markets, while CBI/CID are investigative agencies.
Rafflesia arnoldii is its botanical name and it holds a world record in the plant world. What’s the record?
View Solution
Step 1: About Rafflesia arnoldii.
Rafflesia arnoldii is a rare parasitic plant found in Southeast Asia. It produces the world’s largest individual flower.
Step 2: World record.
Its flower can measure up to 1 metre (3 feet) across and weigh up to 10 kg, making it the largest bloom in the plant world.
Step 3: Eliminating wrong options.
- (A) Tallest cactus: The record belongs to Pachycereus pringlei.
- (C) Longest surviving tree: Refers to species like Bristlecone pine.
- (D) Smallest plant: Refers to Wolffia (duckweed).
\[ \boxed{Rafflesia arnoldii = Largest bloom in the world \] Quick Tip: Rafflesia = “Corpse flower” (smells foul) → world’s largest single flower bloom (up to 1m diameter).
Temujin was a famous historical character of the world, but we know him by a different name. Which one?
View Solution
Step 1: Identity of Temujin.
Temujin was born in 1162 in Mongolia and later united the Mongol tribes. After becoming leader, he took the title "Genghis Khan," meaning "Universal Ruler."
Step 2: Eliminating wrong options.
- (A) Babur: Founder of Mughal dynasty.
- (C) Kublai Khan: Grandson of Genghis Khan.
- (D) Nero: Roman Emperor.
\[ \boxed{Temujin = Genghis Khan} \] Quick Tip: Temujin united Mongol tribes → became Genghis Khan. Remember: Temujin = birth name.
What is Short Selling in stock market lingo?
View Solution
Step 1: Definition of short selling.
Short selling is the practice of borrowing shares and selling them in the market with the expectation that the price will fall, so they can be bought back later at a lower price for profit.
Step 2: Elimination of wrong options.
- (B) Refers to regular selling after short holding, not short selling.
- (C) and (D) are incorrect definitions.
\[ \boxed{Short Selling = Selling shares you don’t own (borrowed shares)} \] Quick Tip: Shortcut: Short selling = borrow → sell now → buy back later. It’s “selling before owning.”
Mahatma Gandhi was nominated for the Nobel Peace Prize for the first time in the year 1937 and last time in the year 1948. How many times in between these two years was he nominated?
View Solution
Step 1: Historical context.
Mahatma Gandhi was nominated for the Nobel Peace Prize five times between 1937 and 1948.
- First nomination: 1937.
- Nominated again in 1938, 1939, and 1947.
- Last nomination: 1948 (after his assassination).
Step 2: Count in between 1937 and 1948.
He was nominated three times in between (1938, 1939, 1947).
\[ \boxed{Nominated 3 times in between = 1938, 1939, 1947} \] Quick Tip: Trick: Gandhi nominated 5 times total → 1937, 1938, 1939, 1947, 1948. Between ’37 and ’48 → 3 times.
Which organization instituted the Nobel Prize in Economics?
View Solution
Step 1: Background.
The Nobel Prize in Economics, officially called "The Sveriges Riksbank Prize in Economic Sciences in Memory of Alfred Nobel," was established in 1968.
Step 2: Correct organization.
It was instituted by the Sveriges Riksbank, Sweden’s central bank, on its 300th anniversary.
Step 3: Eliminating wrong options.
- (A), (B), (C) are unrelated institutions.
\[ \boxed{Instituted by = Sveriges Riksbank (Sweden’s Central Bank)} \] Quick Tip: Only Nobel prize not in Alfred Nobel’s will. Added in 1968 by Sveriges Riksbank (Sweden’s central bank).
Film stars have been endorsing Lux beauty soap since ages. Who was the first actress of Bollywood to do so?
View Solution
Step 1: Historical advertisement.
Lux beauty soap has been endorsed by leading actresses for decades. The first Bollywood actress to endorse it was Leela Chitnis in the 1940s.
Step 2: Eliminating others.
- (A) Madhubala, (B) Leela Naidu, and (C) Suraiya endorsed later.
\[ \boxed{First Lux endorser = Leela Chitnis} \] Quick Tip: Bollywood trivia: Leela Chitnis = 1st Lux model (1941). Later → Madhubala, Hema Malini, Aishwarya.
India’s interstate cricket tournament is named after Kumar Shri Ranjitsinhji Vibhaji Jadeja, or in short Ranji. He played cricket in England and also for the English national team. Which county did he play for in league cricket of England?
View Solution
Step 1: Cricket history.
Ranjitsinhji, also known as Ranji, was an Indian prince who played county cricket in England.
Step 2: County career.
He represented Sussex County Cricket Club with distinction and also played for the England national team.
\[ \boxed{Ranji played county cricket for Sussex} \] Quick Tip: Ranji = father of Indian cricket → played for England & Sussex county. Ranji Trophy named after him.
As a practice, all major states’ capitals have offices of Reserve Bank of India with only one exception. Which city of India has an office of RBI without being a state capital?
View Solution
Step 1: RBI office pattern.
Generally, RBI offices are located in state capitals.
Step 2: Exception.
Nagpur, although not a state capital, has an RBI office because it is geographically central and historically important for financial operations in Maharashtra.
\[ \boxed{Exception city with RBI office = Nagpur} \] Quick Tip: Nagpur = exception city → RBI office but not a state capital. Important static GK.
This distinguished Indian was born on 28th December 1937 in Surat. He completed the Advanced Management Program at Harvard Business School, USA. He turned down a job offer from IBM to join his family business and today he is one of the top business leaders of India. Name the tycoon.
View Solution
Step 1: Birth and education.
Ratan Tata was born in 1937 in Surat. He studied architecture and later completed the Advanced Management Program at Harvard Business School.
Step 2: Career choice.
He declined a job offer from IBM and instead joined the Tata Group, later becoming Chairman and transforming the group into a global business conglomerate.
\[ \boxed{Tycoon = Ratan Tata} \] Quick Tip: Harvard AMP graduate, turned down IBM → joined Tata Group → led global expansion.
It’s known to be used in Egypt in 3000 BC, but its name derives from an old French expression. It is made from the fermentation of ethanol in a process that yields its key ingredient, ethanoic acid. What is it?
View Solution
Step 1: Definition.
Vinegar is produced by fermentation of ethanol by acetic acid bacteria, resulting in acetic acid (ethanoic acid) as the main component.
Step 2: Historical use.
Vinegar has been used since 3000 BC in Egypt for preservation and flavoring. The word "vinegar" comes from the Old French "vinaigre" meaning "sour wine".
Step 3: Elimination.
- (A) Tabasco Sauce: A chili sauce.
- (B) Phenol: A chemical compound, not food-related.
- (D) Tincture Iodine: Medical antiseptic.
\[ \boxed{Fermented product = Vinegar (ethanoic acid)} \] Quick Tip: Vinegar = acetic acid (ethanoic acid). Used in pickling since ancient Egypt.
The name of this Japanese company literally means “three diamonds”. Which one?
View Solution
Step 1: Meaning of the word "Mitsubishi"
- "Mitsu" in Japanese means "three".
- "Bishi" means "water chestnut", but in the logo and company name, it is used to represent a diamond shape.
Step 2: Company logo and interpretation
- The Mitsubishi logo has three diamond-shaped figures joined at the center.
- This directly reflects the meaning "three diamonds".
Step 3: Elimination of other options
- Sanyo = Means "three oceans", not three diamonds.
- Mutsuhito = Personal name of Emperor Meiji, not a company.
- Suzuki = A Japanese automobile company, but the name does not mean three diamonds.
Hence, the correct company is \(\;Mitsubishi\).
\[ \boxed{Answer = Mitsubishi} \] Quick Tip: In such GK questions, breaking down Japanese/foreign words into their literal meanings helps. Company logos often directly reflect the name’s meaning.
Who were the first twins to play test cricket?
View Solution
Step 1: Understanding the question
The question asks about the first "twins" (not just brothers) to play Test cricket.
Step 2: Checking the options
- Merv and Kim Hughes: Both are cricketers, but not related.
- Ian and Greg Chappell: Famous Australian brothers, but not twins.
- Surinder and Mohinder Amarnath: Indian brothers, but again not twins.
- Steve and Mark Waugh: Australian cricketers who are identical twins.
Step 3: Historical confirmation
- Steve and Mark Waugh made their Test debuts for Australia in 1980s–1990s.
- They are officially recognized as the first pair of twins to play Test cricket together.
\[ \boxed{Answer = Steve and Mark Waugh} \] Quick Tip: In sports GK, carefully note the difference between “brothers” and “twins”. The Waugh brothers are unique as they were identical twins playing Test cricket.
Which country has the largest rail network in the world?
View Solution
Step 1: Definition of rail network.
The rail network of a country is measured by the total length of railway lines laid across its land, including freight and passenger lines.
Step 2: Comparing the major countries.
- USA: Has the largest rail network in the world, exceeding 250,000 km, mainly dominated by freight railways.
- China: Rapidly expanding but still smaller, around 150,000+ km.
- India: Around 68,000 km of track, the fourth largest in the world.
- UK: Much smaller in comparison.
\[ \boxed{USA has the largest rail network in the world} \] Quick Tip: The USA dominates rail length due to its vast freight rail infrastructure, not passenger rail.
Who won the 2009 French Open tennis ladies title?
View Solution
Step 1: French Open 2009.
The French Open, also called Roland Garros, is played on clay courts. In 2009, the women’s singles final was between Svetlana Kuznetsova and Dinara Safina.
Step 2: Winner.
Svetlana Kuznetsova defeated Dinara Safina to win her first French Open title.
Step 3: Eliminating wrong options.
- Maria Sharapova and Venus Williams have won Grand Slams but not the French Open in 2009.
- Kristina Mladenovic has never won a French Open singles title.
\[ \boxed{2009 French Open Ladies Champion = Svetlana Kuznetsova} \] Quick Tip: Always connect tennis Grand Slam winners with the surface: French Open = Clay; Wimbledon = Grass.
Who invented the microchip?
View Solution
Step 1: What is a microchip?
A microchip (integrated circuit) is a set of electronic circuits on a small flat piece of semiconductor.
Step 2: Inventors.
- Jack Kilby (Texas Instruments, 1958) demonstrated the first working integrated circuit.
- Robert Noyce (Fairchild Semiconductor, 1959) independently invented a practical monolithic integrated circuit.
Together, they are credited with inventing the microchip.
\[ \boxed{Microchip invented by Robert Noyce and Jack Kilby} \] Quick Tip: Remember: Kilby (TI) and Noyce (Fairchild) are associated with microchip invention in late 1950s.
Which is the largest landlocked country in the world?
View Solution
Step 1: Meaning of landlocked.
A landlocked country is one that has no coastline or access to the sea.
Step 2: Comparison.
- Kazakhstan: 2.7 million sq. km, largest landlocked country in the world.
- Mongolia: ~1.5 million sq. km, smaller than Kazakhstan.
- Switzerland: Small European landlocked country.
- China: Not landlocked (has a vast coastline).
\[ \boxed{Kazakhstan is the largest landlocked country in the world} \] Quick Tip: Landlocked = no sea coast. Kazakhstan is not just the largest landlocked country but also the 9th largest country overall.
Which country makes Panama hats?
View Solution
Step 1: Misleading name.
Although called “Panama hats,” they are not made in Panama. They originated in Ecuador.
Step 2: History.
The hats became famous when workers on the Panama Canal wore them, hence the misleading name. They are handwoven from the toquilla palm plant in Ecuador.
\[ \boxed{Panama hats are made in Ecuador} \] Quick Tip: This is a classic GK trick: Panama hats are actually from Ecuador, not Panama.
Who was the Prime Minister of India when the 42nd Amendment Bill bringing changes in the Constitution was passed?
View Solution
Step 1: 42nd Amendment.
The 42nd Amendment to the Constitution of India (1976) is also called the “Mini Constitution.” It was passed during the Emergency period.
Step 2: Prime Minister.
At that time, Indira Gandhi was the Prime Minister of India.
\[ \boxed{Indira Gandhi was the PM during the 42nd Amendment (1976)} \] Quick Tip: The 42nd Amendment gave Parliament supreme power, curtailed judicial review, and added the words "Socialist" and "Secular" to the Preamble.
Which one of the following planets lost its planet status recently?
View Solution
Step 1: Pluto’s reclassification.
In 2006, the International Astronomical Union (IAU) redefined the criteria of a planet.
Step 2: Why Pluto lost status.
Pluto did not clear its orbit of other debris, hence it was reclassified as a “dwarf planet.”
\[ \boxed{Pluto lost its planet status in 2006} \] Quick Tip: Pluto is now classified as a “dwarf planet,” along with Eris and Ceres.
One barrel of oil is approximately equivalent to how many litres?
View Solution
Step 1: Definition of a barrel of oil.
A standard oil barrel = 42 US gallons.
Step 2: Conversion.
1 US gallon = 3.785 litres.
\[ 42 \times 3.785 \approx 158.99 \,litres \]
Step 3: Approximation.
Hence, 1 barrel of oil ≈ 159 litres, rounded to 160 litres.
\[ \boxed{1 barrel of oil ≈ 160 litres} \] Quick Tip: Remember: 1 barrel = 42 US gallons ≈ 159 litres, usually approximated to 160 litres.
Five year plans in India are finally approved by the:
View Solution
Step 1: Role of Planning Commission.
The Planning Commission prepared the draft of the Five-Year Plans in India. However, it did not have the power to approve them finally.
Step 2: Role of Union Cabinet and President.
The draft plan was placed before the Union Cabinet for consideration and later the President formally gave assent, but these were procedural steps.
Step 3: Final approval authority.
The ultimate approving authority was the National Development Council (NDC) which included members from the Union Government, State Governments, and Planning Commission.
\[ \boxed{Five-Year Plans were finally approved by the National Development Council (NDC).} \] Quick Tip: Remember: Planning Commission = draft preparation; NDC = final approval.
Many a time we read in the newspapers about Southern Cone of South America which includes Argentina, Chile, Paraguay, Uruguay, and Peru. Which is the most spoken language of this geographical area?
View Solution
Step 1: Understanding the Southern Cone.
The Southern Cone refers to the southernmost part of South America, including Argentina, Chile, Paraguay, Uruguay, and parts of Peru.
Step 2: Languages in this region.
- Argentina, Chile, Paraguay, Uruguay, and Peru are predominantly Spanish-speaking countries.
- Brazil speaks Portuguese, but it is not part of the "Southern Cone" definition given here.
- French and English are not widely spoken in this region.
\[ \boxed{Spanish is the most spoken language of the Southern Cone.} \] Quick Tip: Spanish dominates most of South America except Brazil, where Portuguese is spoken.
Which one of the following is not a member of the Organization of Petroleum Exporting Countries (OPEC)?
View Solution
Step 1: About OPEC.
OPEC is an intergovernmental organization founded in 1960 to coordinate and unify petroleum policies among member countries.
Step 2: Members check.
- Algeria, Ecuador, and Nigeria have all been members of OPEC.
- Brazil is a major oil producer but has never been a member of OPEC.
\[ \boxed{Brazil is not a member of OPEC.} \] Quick Tip: OPEC membership is mainly Middle East, African, and a few South American countries, but not Brazil.
Who invented the ‘computer laptop’?
View Solution
Step 1: Early laptops.
The first true portable computer (laptop concept) is attributed to Adam Osborne, who introduced the Osborne 1 in 1981. It was bulky but portable.
Step 2: Refinements.
Later, companies like IBM, Compaq, and Toshiba refined the design into what we now recognize as laptops.
Step 3: Eliminating wrong options.
- Arthur Wynna is associated with crosswords, not computers.
- Daimler is linked to automobiles, not laptops.
- Sinclair made small home computers (like Sinclair ZX Spectrum) but not laptops.
\[ \boxed{Laptop computer invention is credited to Adam Osborne (Osborne 1, 1981).} \] Quick Tip: Remember: Adam Osborne (1981) = Osborne 1 = first portable computer.
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