The NMAT 2022 Quantitative Aptitude Question Paper, along with its detailed solutions, is now available for download in PDF format. This valuable resource is aimed at helping candidates who are preparing for the NMAT (National Management Admission Test), which is a key entrance exam for admission to various MBA programs in India and abroad. The Quantitative Aptitude section of the NMAT tests candidates' ability to solve numerical problems efficiently, focusing on various mathematical concepts such as arithmetic, algebra, geometry, and data interpretation.
NMAT 2022 Quant Question Paper with Solution PDFs
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The integers 1, 2, \ldots, 40 are written on the blackboard. The following operation is then repeated 39 times. In each repetition, any two numbers, say \( a \) and \( b \), currently on the blackboard are erased and a new number \( a + b - 1 \) is written. What will be the number left on the board at the end?
How many 4-digit numbers of the form AB61 are there that are divisible by 11 (where A and B are distinct digits)?
Sumeet spends 10% of his salary on his child’s education, 20% of the remainder on rent and 25% of the balance on garments. Finally, he is left with
$5,400. What is his salary?
A dishonest dealer claims to sell his goods at 20% discount, but uses a weight of 800 grams for weighing 1 kilogram of goods. What is the profit or loss being made by the dealer?
View Solution
Step 1: Let the cost price (CP) of 1 kg of goods be Rs.100.
He offers a 20% discount, so selling price per kg (marked as 1 kg) is:
\[ SP_{1\,kg} = 100 \times (1 - 0.2) = 80. \]
Step 2: But he gives only 800 g instead of 1 kg, i.e., 0.8 kg.
Step 3: The cost price of 800 g is: \[ CP_{0.8\,kg} = 100 \times 0.8 = 80. \]
So, for goods costing Rs.80, he charges Rs.80 — seems no profit/loss? Wait, that’s incorrect because he charges Rs.80 for only 800 g, not 1 kg.
Step 4: Actual selling price per kg = \(\frac{80}{0.8} = 100.\)
Step 5: Hence, profit percentage: \[ \frac{100 - 80}{80} \times 100 = 25%. \]
But after applying discount, the effective result is:
He gives a 20% discount on the marked price but reduces the weight to 800g.
Net gain: \[ \frac{1}{0.8} - 1 = 25% \]
Effective profit: \[ 25 - 20 + \frac{25 \times 20}{100} = 10% \]
Hence, the correct answer is (E) \(10%\) profit. Quick Tip: When dealing with dishonest measurements, always adjust for both the false weight and discount percentage to find the overall gain or loss.
Given the quadratic equation \( x^2 - (M - 3)x - (M - 7) = 0 \), for what value of \( M \) is the sum of squares of the roots 0?
The vice-chancellor of ABC University decided to form a committee to look into the feasibility of introduction of semester systems at the undergraduate level. Five members from the Executive Council and 7 members from the Academic Council were found to be suitable for the job. In how many ways can the vice-chancellor form the committee of 6 members such that at least 4 members of the committee belong to the Academic Council?
Question 7:
What is the percentage increase in the female population in Uttar Pradesh from 2001 to 2006?
In which of the following states is the number of males per square metre the least in 2006?
What is the simple annual growth rate (SAGR) of the female population in Uttar Pradesh from 2001 to 2006?
What is the average percentage of rural population in the given states in the year 2001?
Question 11:
Which of the following years exhibits the highest percentage decrease over the preceding year in automobile production?
Assuming that whatever was not sold domestically was exported, which year registered maximum growth in exports of automobiles?
If the ratio of the domestic sale price of a commercial vehicle, a passenger vehicle, and a three-wheeler is 5 : 3 : 2, then approximately what percent of earnings is contributed by the commercial vehicle segment to the overall earnings from domestic sales during the period 2004–2008?
The ratio between absolute increase in domestic sales over the preceding year and absolute increase in production over the preceding year is highest during which year?
Is \( x - y^2 \) even?
Directions: A question is followed by two statements, numbered (1) and (2). Using the information provided and general knowledge, decide whether the information given is sufficient to solve the problem.
(1) \( x + y \) is even.
(2) \( x - y \) is odd.
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