List of top Quantitative Aptitude Questions asked in NMAT

If \( 2x + 3 = 11 \), what is the value of \( x \)?

A shopkeeper offers a discount of 20% on an article originally priced at ₹1,250. What is the selling price after the discount?

A number \( x = 3.1212121212\ldots \). By what least number should we multiply \( x \), so that we obtain an integer?

If \( x^2 + y^2 + z^2 = 3 \), which of the following cannot be the value of \( xy + yz + zx \)?

A company manufactures only three types of vehicles: bikes, cars, and trucks. In 2021, the number of bikes manufactured was 40% of the number of bikes manufactured in 2022. The number of trucks manufactured in 2022 was 25% more than in 2021. In 2022, the number of trucks manufactured was the average of the number of bikes and cars manufactured that year. The company manufactured 10% fewer cars in 2021 as compared to 2022. The total number of vehicles produced in 2022 was 120,000. In 2021, the ratio of bikes and trucks manufactured was 1:4. How many cars were produced in 2022?

There are 3 chess players in the 1st year, 4 chess players in the 2nd year, and 5 chess players in the 3rd year of college. What is the probability of selecting a team of 4 chess players if at least one player is from the 1st year?

24 men can complete a piece of work in 16 days. 16 women can complete the same work in 12 days. 8 men and 8 women started working on the task. After 6 days, x men were added to the group such that the work was finished in 4 more days. Find the value of x.

Find the sum of all the possible values of \( p \) such that \( p^4 - p^3 \) has the unit’s digit as 2, where \( 20 \leq p \leq 30 \).

Pushkin, Qutub, and Ravinder together can complete a piece of work in 4 days. Ravinder and Samrat can complete the same work in 6 days. If Qutub and Ravinder take 20 and 10 days respectively to finish the work on their own, in how many days can Pushkin and Samrat complete the same work?

A person invested a certain money in a scheme offering simple interest of 16% per annum and received Rs 736 as interest. Had he invested the amount for 8 more years, he would have got an interest of Rs 3680. What is the amount obtained if the same sum is invested at 9% per annum for 2 years, interest compounded annually?

Anuj, Bheem, and Charles started a business by putting amounts in the ratio of 2:4:5. After six months, Anuj withdrew \( \frac{1}{4} \) of his capital. Bheem withdrew \( \frac{1}{4} \) of his initial capital after every quarter. Charles added \( \frac{2}{5} \) of his initial capital after every quarter. If the annual profit was Rs. 98000, what was the share of Bheem?

There are 20 students in a class. If one of the students of 18 years is replaced by another student, the average age of the class is reduced by 2 months. What is the age of the new student?

Aman, Bharat, Chitra, and Deepa are four siblings. Their mother gave them some candies. Aman took \( \frac{1}{3} \) of the candies and returned 4. Then Bharat took \( \frac{1}{4} \) of the remaining candies and returned 3. Chitra took \( \frac{1}{2} \) of the remaining candies and returned 2. Finally, Deepa took the remaining 17 candies. How many candies did Bharat and Chitra take altogether?

What is the probability that in three throws of a dice, one gets exactly two 6s?

3 men, 5 women, and 7 children can complete a work in 40 days. 6 men, 10 women, and 18 children can complete the work in 18 days. 9 men, 15 women, and 5 children can complete the work in?

Find the sum of 10 terms of the series: 2, -8, 32, -128, 512, ...

If \( ab = 16 \) and \( \log_2 a - \log_2 b = 2 \), find the value of \( \log_2 a^2 b^3 \).

How many 4-digit numbers of the form AB61 are there that are divisible by 11 (where A and B are distinct digits)?

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?

The integers \(1, 2 ... 40\) 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?

Given the quadratic equation \(x^2 – (A – 3)x – (A – 7) = 0\), for what value of A is the sum of squares of the roots 0?

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.
Is \(x^2-y^2\) even?
(1) \(x+y\) is even.
(2) \(x-y\) is odd.

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?

Directions: Go through the given table and solve the questions based on it

State	Total Population (in Lakhs)		Male Population (in Lakhs)		Rural Population (\(\%\))		Area (in Sq. Km)
	2001	2006	2001	2006	2001	2006
Uttar Pradesh	1660	1731	875	911	71	70	2,38,576
Madhya Pradesh	603	674	314	360	72	71	3,08,144
Andhra Pradesh	761	823	385	417	69	68	2,75,068
Tamil Nadu	624	697	315	348	70	67	1,30,058
Orissa	368	384	186	195	73	72	1,55,707
Maharashtra	968	1013	504	527	68	66	3,07,713
West Bengal	802	865	412	446	69	68	88,752

Directions: Go through the given graphs and solve the questions based on them.