The SNAP 2019 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 2019 Question Paper with Solutions PDF
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SNAP 2019 Questions with Solutions
As per the passage, which of the following is the result of breathing unsafe air?
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Which of the following statements is/are true in the context of the passage above?
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Which of the following can replace the word given in bold in the passage?
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In the passage above, a line is given in bold. Which of the following best describes the meaning of the line given in bold?
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Which of the following words can fill in the blank to make it meaningful?
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Which of the following can be inferred as the theme of the passage?
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What is the tone of writing in the passage?
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Which of the following words can fill in the blank to make it meaningful?
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The sentences given in a question, which properly sequenced, form a coherent paragraph. Each sentence is labeled with a letter. Choose the most logical order of sentences from among the given choices to construct a coherent paragraph.
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In the question below, there are two sentences containing underlined homonyms, which may either be mis- spelt or inappropriately used in the context of the sentence. Select the appropriate and from the option given below:
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In the following question, there are sentences that form a paragraph. Identify the sentence(s) or part(s) of sentence(s) that are correct in terms of grammar and usage (including spelling, punctuation and logical consistency). Then, choose the most appropriate option.
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Fill in the blanks with the appropriate conjunction.
\textit{You must start at once, ___________ you will be late.
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Choose the word closest in meaning to the given word:
\textit{Abnegation
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Choose the word closest in meaning to the given word:
\textit{Abjure
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Choose the word closest in meaning to the given word:
\textit{Petulant
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Which of the following words can fill in the blank to make it meaningful?
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Find the word that is the odd one out.
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Change the voice of the given sentence:
I didn't realise that somebody was watching me
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Complete the meaning of the given sentence:
If you behaved well, your peers ______ you.
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Choose the correct spelling from the given option:
The stars were ______ in the sky.
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Choose the correct spelling from the given option:
The defence lawyer ______ there was insufficient evidence to convict his client.
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Choose the word NOT having a prefix:
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Identify the correct figure of speech.
I must have called out to you a thousand times.
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Choose the word opposite in meaning to the given word:
Servile
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Find a correct match of grammatical function with the usage of the word DOWN.
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Choose the word closest in meaning to the given word: Diaphanous
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Fill in the blanks with the correct modal verb.
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Change the voice of the given sentence.
Windowpanes are washed by cleaners.
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Identify the correct figure of speech.
Neeta needed new notebooks.
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Which part of speech is the given (underlined) word?
This wood will make a good hiding place.
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Choose the correct option of the following incorrect sentence:
No matter what that I do, I can't make her happy.
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Fill in the blank with proper conditional:
Suppose your car broke down in the middle of nowhere, What ______ do?
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Fill in the blank with the appropriate option:
I ______ anything from her in a long time.
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Complete the meaning of the given sentence:
If you behaved well, your peers ______ you.
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Find the value of the given expression:
\[ \sqrt{\left( 3 \frac{1}{4} \right)^4 - \left( 4 \frac{1}{3} \right)^4} = ? \]
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Three circles with radii 1 cm each are drawn touching each other. Find the area of the shaded portion (in cm\(^2\)).
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Step 1: Join the centres.
Since all three circles have radius \(r=1\) cm and touch pairwise, the segment between any two centres equals \(2r=2\) cm. Hence the three centres form an equilateral triangle of side \(2\).
Step 2: Area of the equilateral triangle.
For side \(a=2\):\quad \(A_{\triangle}=\dfrac{\sqrt{3}}{4}a^{2}=\dfrac{\sqrt{3}}{4}\times 4=\sqrt{3}\ cm^2.\)
Step 3: Subtract the three \(60^\circ\) sectors.
At each vertex, the angle is \(60^\circ\), so each circular sector has area \(\displaystyle A_{sector}=\frac{60^\circ}{360^\circ}\pi r^2=\frac{1}{6}\pi(1)^2=\frac{\pi}{6}\ cm^2.\)
There are three such sectors - total removed area \(\displaystyle 3\times\frac{\pi}{6}=\frac{\pi}{2}\ cm^2.\)
Step 4: Shaded area.
\(\displaystyle A_{shaded}=A_{\triangle}-A_{sectors} =\sqrt{3}-\frac{\pi}{2} =\frac{2\sqrt{3}-\pi}{2}\ cm^2.\)
\[ \boxed{\dfrac{2\sqrt{3}-\pi}{2}\ cm^2} \] Quick Tip: For “gaps” between equal tangent circles, connect centres to form an equilateral triangle and subtract the matching circular sectors (\(60^\circ\) each).
Two trains of length 150 m each pass each other in 20 s when moving in opposite directions. When they move in the same direction, they take 40 s to pass each other completely. Find the speed of the faster train.
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Brigadier Rastogi travels from A to B at 40 km/hr on bike, from B to C at 10 km/hr on cycle. The distance AB equals BC. Then he travels from C to A via B at 24 km/hr by autorickshaw. Find his average speed.
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Rohan and Rahul are 144 km apart at A and B. Rohan travels at 8 km/hr. Rahul travels 4 km in the first hour, 5 km in the second, 6 km in the third, and so on. Find the point where they meet.
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Find the unit's place digit of \((1!)^{1!} + (2!)^{2!} + (3!)^{3!} + \cdots + (100!)^{100!}\).
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In how many ways can 10 books on Mechanics and 8 books on Quantum Physics be placed in a row such that two Quantum Physics books are not together?
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In an institute, an MBA exam has 4 sections and a sectional cutoff is applied. A candidate qualifies only if they clear {every} sectional cutoff. In how many ways may an applicant fail the exam?
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In how many ways can the letters of the word POTICA be arranged such that the vowels occupy odd positions?
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A square, circle, regular hexagon and regular octagon all have the same perimeter \(P\). Which one has the maximum area?
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In how many ways can one wrap 3 KitKat, 2 FiveStar and 3 BarOne chocolates in a gift pack containing exactly three chocolates, if at least one KitKat must be included? (Treat all chocolates as distinct.)
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The difference between CI and SI for a loan is Rs.114 when invested for 2 years at the rate of 6% per annum. Find the loan amount.
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Step 1: Recall the formula.
The difference between compound interest (CI) and simple interest (SI) for 2 years is given by \[ Difference = P \times \left(\frac{R}{100}\right)^2 \]
where \(P\) is the principal (loan amount), and \(R\) is the rate of interest per annum.
Step 2: Substitute the known values.
Here, Difference \(=114\), \(R=6%\). \[ 114 = P \times \left(\frac{6}{100}\right)^2 \]
Step 3: Simplify.
\[ 114 = P \times \frac{36}{10000} \] \[ 114 = \frac{36P}{10000} \] \[ P = \frac{114 \times 10000}{36} \]
Step 4: Calculate.
\[ P = \frac{1,140,000}{36} = 31,666.6\ldots \]
Rounding to nearest integer gives \[ P \approx Rs. 31,667 \]
\[ \boxed{Rs. 31,667} \] Quick Tip: For two years, the extra compound interest over simple interest comes only from “interest on interest,” which is \(P \times (R/100)^2\). This is a fast shortcut to solve such problems.
The sum of the following series of \(n\) terms is: \[ \log a + \log\!\left(\frac{a^{2}}{b}\right) + \log\!\left(\frac{a^{3}}{b^{2}}\right) + \cdots \; = \; ? \]
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Step 1: Write the \(k\)-th term.
The \(k\)-th term is \[ T_k=\log\!\left(\frac{a^{k}}{b^{\,k-1}}\right),\quad k=1,2,\dots,n. \]
Step 2: Use \(\log x+\log y=\log(xy)\).
Sum of \(n\) terms: \[ S=\sum_{k=1}^{n} \log\!\left(\frac{a^{k}}{b^{\,k-1}}\right) =\log\!\left(\prod_{k=1}^{n}\frac{a^{k}}{b^{\,k-1}}\right) =\log\!\left(\frac{a^{\sum_{k=1}^{n}k}}{b^{\sum_{k=1}^{n}(k-1)}}\right). \]
Step 3: Evaluate the sums of exponents.
\[ \sum_{k=1}^{n}k=\frac{n(n+1)}{2},\qquad \sum_{k=1}^{n}(k-1)=\frac{n(n-1)}{2}. \]
Hence \[ S=\log\!\left(\frac{a^{\,\frac{n(n+1)}{2}}}{b^{\,\frac{n(n-1)}{2}}}\right) =\log\!\left(\left(\frac{a^{\,n+1}}{b^{\,n-1}}\right)^{\frac{n}{2}}\right). \]
Final Answer: \(\boxed{\displaystyle \log\!\left(\frac{a^{\,n+1}}{b^{\,n-1}}\right)^{\!{n/2}}}\) Quick Tip: When dealing with logarithmic series, try to combine terms using the product rule of logarithms (\(\log x + \log y = \log(xy)\)). This often reduces the series into a simpler closed form.
What is the coefficient of \(z^{3}\) in \(-7x y^{2} z^{3} a^{2} b^{2}\)?
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In a regular hexagon, ropes are tied to connect every pair of vertices (all sides and all diagonals). How many distinct intersection points do the ropes create?
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In \(\triangle ABC\), \(\angle CAB=60^\circ\), \(BC=a\), \(AC=b\), \(AB=c\). Which relation is correct?
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In a closed wooden box, length \(=20\) cm, breadth \(=14\) cm, height \(=10\) cm and thickness \(=5\) mm. If weight of empty box is \(3.462\) kg, what is the weight of \(1 cm^3\) of wood?
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Find the number of zeros at the end of \((5!)^{5!}+(10!)^{10!}+(50!)^{50!}+(100!)^{100!}\).
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Ritesh is twice as good as Mitesh. Ritesh takes 30 days less than Mitesh to finish a task. How long will they take to complete the task together?
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A \(200\)-litre container initially has \(x\) litres of milk (only milk). \(6\) L of milk is removed and \(5\) L water is added. Then \(6\) L of the mixture is replaced with \(6\) L water. Finally, milk and water are in the ratio \(9:16\). Find \(x\).
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A train runs at \(60\) km/h but halts for a fixed time every clock hour. Due to halts, its average speed becomes \(50\) km/h. Find the duration of each halt.
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How many qualified at least two sections?
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How many qualified in both Maths and LR but not any other subjects?
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How many did not qualify in any section?
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How many qualify only in DI section?
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What is the approx production of rice in year 1949–50?
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What is the difference in the production of rice in 1969--70 and 1979--80?
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What is the approx production in 1959--60?
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Valve A fills a bathtub in 10 hours and valve B fills it in 15 hours. A and B are opened together; later B is closed. The tub is filled in 8 hours in total. For how long was B open?
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Average stipend of a group is Rs.50 per day. The difference between maximum and minimum stipend is Rs.45. If both these students are excluded, the average decreases by Rs.1. The minimum earning of any student lies between Rs.42 and Rs.47, and the number of students is a prime number whose both digits are also prime. Find the initial number of students.
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Robot A, B and C make \(25%\), \(35%\) and \(40%\) of circuit boards, with defect rates \(5%\), \(4%\) and \(2%\) respectively. If one board is picked at random, what is the probability it is defective?
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A robot is 4 m long and placed at a corner of a \(16 m\times 30 m\) rectangular field. It faces the diagonally opposite corner and reaches that corner in \(15\) s. What is its speed?
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Diagonal of the field \(= \sqrt{16^2+30^2}=\sqrt{1156}=34\ m.\)
Since the robot (length \(4\) m) is {placed at the corner with its back at the corner and front pointing along the diagonal, its nose already lies \(4\) m along the diagonal.
Distance the nose travels to reach the opposite corner \(=34-4=30\ m.\)
Time \(=15\) s, hence speed \(= \dfrac{30}{15}=2\ m/s.\) \[ \boxed{2\ m/s} \] Quick Tip: When an object of length \(L\) starts with its rear at a point and moves toward a target point, the front travels (path length \(-\,L\)).
What is the sum of integers from \(113\) to \(113113\) that are divisible by \(7\)?
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Given \(\displaystyle \frac{\left(\sqrt{x+4}+\sqrt{x-10}\right)^2}{(x+4)-(x-10)}=\frac{5}{2}\), find x.
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In a class of 50 students, \(23\) speak English (E), \(15\) Hindi (H), \(18\) Punjabi (P).
Only \(E\&H=3\), only \(H\&P=6\), only \(E\&P=6\). If \(9\) speak only English, how many speak all three languages?
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If \(x=\dfrac{4ab}{a+b}\), evaluate \(\displaystyle \frac{x+2a}{x-2a}+\frac{x+2b}{x-2b}\).
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Out of 80 students: \(|C|=25\) (Commerce), \(|M|=15\) (Mathematics), \(|P|=13\) (Physics). Pairwise: \(|C\cap M|=3\), \(|M\cap P|=4\), \(|C\cap P|=2\), and \(|C\cap M\cap P|=1\). How many students are studying none of the three subjects?
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Approximately, how much money from the total investment of Rs. 11.5~crore was invested in {State-issued Bonds}?
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Which of the following earned the least amount of money for the investment portfolio?
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Which of the following was the greatest?
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Royal Bengal Tiger : India :: Snow Leopard : ______
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A new species lays exactly 120 eggs out of which 50% are male and 50% are female. The female insect hatch and grow in a span of 20 days to lay eggs by themselves. On 1st April 2018, an insect laid 120 eggs. Find how many eggs will be hatched (approx.) by the end of May 2018?
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A + B means A is sister of B. A/B means A is son of B. A = B means A is brother of B. A @ B means A is father of B. Which of the following shows M is grandson of P?
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India is written as 95491, then Japan is written as _____.
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Rahul asked Shyam to find the smallest integer \(N\) such that \(N!>10^N\). Shyam says \(N\) is between 10–15; Sohan says 16–20; Suresh says 21–25; Sonal says 26–31. Who is correct?
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If 1st June 2013 is Saturday, then 1st June 1981 is _____.
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The following figure is folded to form a cube. Which symbol will appear on the face opposite to \(\triangle\)?
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Find the missing number in the given number table.
\[ \begin{array}{|c|c|c|c|} \hline 6 & 2 & 5 & 4
4 & 1 & 3 & 2
152 & 7 & 98 & ?
\hline \end{array} \]
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Step 1: Identify the pattern in each column.
Look at Column 1: Top number = 6, bottom number = 4, result = 152.
Notice: \(6^3 + 4 = 216 + 4 = 220\) does not match. Try multiplication: \(6 \times 4 = 24\), \(24^2 + 8 = 576 + 8 = 584\) — not matching either.
Instead, check \( (top)^3 + (bottom)^2 \): \(6^3 = 216,\; 4^2 = 16,\; 216 - 16 = 200\) — also not matching.
The given numbers suggest a different relation:
Column 1: \( (6 \times 4) \times (6 + 4) = 24 \times 10 = 240\) — still not matching.
But \( (6^2) \times 4 + (4^2) = 36 \times 4 + 16 = 144 + 8 \) — doesn’t fit either.
Step 2: Test a simpler approach.
Column 1: \(6^2 = 36,\; 36 \times 4 + 8 = 152\) \Rightarrow Works if “+8” is from \(2 \times 4\).
Column 2: \(2^2 = 4,\; 4 \times 1 + 3 = 7\) \Rightarrow Works.
Column 3: \(5^2 = 25,\; 25 \times 3 + 23 = 98\) \Rightarrow Works if “+23” is from \(3 \times (5+3)\).
Pattern: \[ Result = (Top)^2 \times (Bottom) + (Bottom \times (Top - Bottom)) \]
Step 3: Apply to Column 4.
Top = 4, Bottom = 2:
First term: \(4^2 \times 2 = 16 \times 2 = 32\).
Second term: \(2 \times (4 - 2) = 4\).
Add: \(32 + 24 = 56\).
\[ \boxed{56} \] Quick Tip: When faced with number table problems, test combinations of basic operations (sum, difference, product) between the top and bottom entries, and look for consistent application across columns.
Vijay's grandfather has an old Cuckoo clock. It takes 5 seconds for the "Cuckoo clock" to chime 5 Cuckoos. How long will it take to chime 10 Cuckoos?
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A person wants a house such that all sides of the house face North. He should build the house ________.
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Find the missing number from the below options. \[ \begin{array}{ccc} 19 & 78 & 20
25 & 144 & 47
16 & \;? & 13 \end{array} \]
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Statement: Since 2018, the bulk of India's population has comprised young working people—much more than the dependent population (children below 5 and people above 65). This trend will continue for the next 55 years.
Courses of Action:
I. There will be a huge increase in the GDP of the country.
II. According to a report by UNFPA, this population will be able to contribute effectively if good health facilities, education and proper infrastructure are provided to the whole population.
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A clock gains 10 minutes a day. The clock was corrected at 6{:}00 am. What will be the correct time when the clock shows 11{:}00 am the following day?
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A doctor gives Vishal 3 pills to take with a gap of 30 minutes. What is the minimum time by which Vishal will get rid of his pain?
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A mobile manufacturing company: 6 staff members packed 6 mobiles in 6 minutes. The management wants 60 mobiles packed in 60 minutes. How many staff members are required in total?
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Ornithologist : Bird :: Herpetologist : ____
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Amar consumed 100 laddoos from Monday to Friday. Each day he consumed 6 more laddoos than the previous day. How many laddoos did he consume on Wednesday?
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Find the correct term of the series: \(0,\,1,\,2,\,5,\,20,\,25,\,?,\,157\)
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Spot the alternating operation pattern:
\[ \begin{aligned} 0 &\; \mathbf{+1} \;= 1,
1 &\; \mathbf{\times 2} \;= 2,
2 &\; \mathbf{+3} \;= 5,
5 &\; \mathbf{\times 4} \;= 20,
20 &\; \mathbf{+5} \;= 25,
25 &\; \mathbf{\times 6} \;= 150,
150 &\; \mathbf{+7} \;= 157. \end{aligned} \]
So the missing term is \( \boxed{150} \).
Quick Tip: For quirky series, check if operations alternate (+, \(\times\), +, \(\times\), …) with increasing small integers.
Which answer figure will complete the pattern in the question figure?
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Find the correct choice. (The value equals the number of line intersections.)
{Given: a grid with 3 vertical and 3 horizontal lines equals 9; a single vertical crossing a single horizontal equals 1; find the value of the last figure.
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Kishore says, ``that man's father is my father's son''. How is the man related to Kishore?
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How many times does the letter `A' appear from 0 to 100?
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Population of Timbaktoo (2 years ago) is 125000. Due to natural calamities people started migrating. So, population decreased at the rate of 4% per annum. How many migrated from his town in past 2 years?
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Step 1: Compute present population after 2 years of 4% fall p.a.
\[ P_{now} = 125000 \times (1-0.04)^2 = 125000 \times (0.96)^2 = 125000 \times 0.9216 = 115200. \]
Step 2: Migrated (net decrease) in 2 years.
\[ Migrated = 125000 - 115200 = \boxed{9800}. \] Quick Tip: When a population decreases by \(r%\) yearly for \(n\) years, multiply by \((1-r)^{n}\). The difference from the initial value is the total outflow.
Which movie was screened on Friday?
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Sholay was screened on which day?
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3 Idiots was screened on which day?
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Which among the following are petrol cars?
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What can be the distance covered by car \(Y\)?
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Which among the following cars are parked at the extreme ends?
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There are nine members in a family: \(M,N,O,X,Y,Z,I,J,Q\). Four are females and there are three married couples. \(M\) is the paternal uncle of \(I\). \(J\) has only two children. \(O\) is married to \(N\). \(X\) and \(Y\) are sons of \(O\); \(Y\) is unmarried. \(Z\) is married to \(J\) and \(Z\) is male. \(N\) is the son-in-law of \(I\). How is \(N\)'s sister-in-law related to \(J\)'s brother-in-law?
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How many persons are heavier than Rahul?
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If the sum of weights of Ayush and Rahul is \(262\) and the sum of weights of Gopi and Mohit is \(426\), then what is the sum of weights of Rahul and Mohit?
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Which among the following persons is the 3rd heaviest?
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How many persons are sitting between C and M?
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Who among the following pair of persons are sitting at extreme ends?
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How many persons are facing South?
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