List of top Quantitative Aptitude Questions asked in NMAT

A number \( x = 3.1212121212\ldots \). By what least number should we multiply \( x \), so that we obtain an integer?
What is the probability that in three throws of a dice, one gets exactly two 6s?
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 \( \log_2 a^2 b^3 \).
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?
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?
Find the sum of all the possible values of \( p \) such that \( p^4 - p^3 \) has the unit’s digit as 2, where \( 20 \leq p \leq 30 \).
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?
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?
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?
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?
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?
How many 4-digit numbers of the form AB61 are there that are divisible by 11 (where A and B are distinct digits)?
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?
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 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.
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?
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)

200120062001200620012006
Uttar Pradesh1660173187591171702,38,576
Madhya Pradesh60367431436072713,08,144
Andhra Pradesh76182338541769682,75,068
Tamil Nadu62469731534870671,30,058
Orissa36838418619573721,55,707
Maharashtra968101350452768663,07,713
West Bengal802865412446696888,752
Directions: Go through the given graphs and solve the questions based on them.
Automobile Production Trends Bar Chart
Automobile Domestic Sales Trends Bar Chart
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?
Padam purchased 30 kg of rice at the rate of Rs. 17.50 per kg and another 30 kg rice at a certain rate. He mixed the two and sold the entire quantity at the rate of Rs. 18.60 per kg and made 20\(\%\) overall profit. At what price per kg did he purchase the lot of another 30 kg rice?
A train whose weight is 16 metric tons, moves at the rate of 72 kmph. After applying brakes it stops in 500 meters. What is the force executed by brakes?
Two posts are k metres apart and the height of one is double that of the other. If from the middle point of the line joining their feet, an observer finds the angular elevations of their tops to be complementary, then the height (in metres) of the shorter post is
The question is accompanied by three statements (A), (B) and (C). You have to determine which statement(s) is/are sufficient/necessary to answer the question.
What is the ratio of the present ages of X and Y?
A. The ratio between the present ages of X and Y after 10 years is 11:15.
B. The present age of Y is 200/3 % more than that of X.
C. The product of the present ages of X and Y is 240 years.
What should come in place of question mark\((?)\)in the following questions?
\((7.3\% \text{ of } 436) - (4.8\%\text{ of } 356) = ?\)