List of top Quantitative Aptitude Questions asked in NMAT by GMAC

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.

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?

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.

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?

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?

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 diameter of the driving wheel of a bus is 140 cm. How many revolutions per minute must the wheel make in order to keep a speed of 66 km per hour?

A started a work and left after working for 1 day. Then B was called and he finished the work in \(4\frac{1}{2}\) days. Had A left the work after working for \(1\frac{1}{2}\)days, B would have finished the remaining work in 3 days. In how many days can each of them, working alone, finish the whole work?

A swimming bath is 24 m long an d15 m board. When a number of men dive into the bath, the height of the water rises by one cm. If the average amount of water displaced by one of the men be 0.1 cu. m, how many men are there in the bath?

There are two vessels of equal capacity, one full of milk, and the second one-third full of water. The second vessel is then filled up out of the first, the contents of the second are then poured back into the first till it is full and then again the contents of the first are poured back into the second till it is full. What is the proportion of milk in the second vessel?

A petrol pump mixed leaded and unleaded petrol in such a way that the mixture contains 10\(\%\) unleaded to I litre mixture so that the percentage of unleaded petrol becomes 5\(\%\)?

The dimensions of a room are 12.5 metres by 9 metres by 7 metres. There are 2 doors and 4 windows in the room; each door measures 2.5 metres by 1.2 metres and each window 1.5 metres by 1 metre. Find the cost of painting the walls at Rs. 3.50 per square metre.

Arun borrowed a sum of money from Jayant at the rate of 8\(\%\) per annum simple interest for the first four years, 10\(\%\) per annum for the next 6 years and 12\(\%\) per annum for the period beyond 10 yerras. If he pays a total of Rs. 12,160 as interest only at the end of 15 years, how much money did he borrow?

A sum of Rs. 1,440 is lent out in three parts in such a way that the interests on first part at 2\(\%\) for 3 years, second part at 3\(\%\) for 4 years and third part at 4\(\%\) for 5 years are equal. Then the difference between the largest and the smallest sum is

One can purchase a flat from a house building society for Rs. 55,000 cash or on the terms that he should pay Rs. 4,275 as cash down payment and the rest in three equal yearly instalments. The society charges interest at the rate of 16\(\%\) per annum compounded half yearly. If the flat is purchased under instalment plan, find the value of each instalment

A man borrows Rs. 4,000 at 20\(\%\) compound rate of interest. At the end of each year he pays back Rs. 1,500. How much amount should he pay at the end of the third year to clear all his dues?

A sum of Rs. 18,750 is left by will by a father to be divided between two sons, 12 and 14 years of age, so that when they attain maturity at 18, the amount (principal + interest) received by each at 5 per cent simple interest will be the same. Find the sum allotted at present to each son.

A farmer sold a cow and an ox for Rs. 800 and got a profit of 20\(\%\) on the cow and 25\(\%\) on the ox. If he sells the cow and the ox for Rs. 820 and gets a profit of 25\(\%\) on the cow and 20\(\%\) on the ox, the individual cost price of the cow and the ox is

A trader purchases a watch and a wall clock of Rs. 390. He sells them making a profit of 10\(\%\) on the watch and 15\(\%\) on the wall clock. He earns a profit of Rs. 51.50. The difference between the original prices of the wall clock and the watch is equal to

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?

\(\%\) of the total number of boys in the group. The number of boys playing only badminton is 50\(\%\) of the number of boys and the total number of boys playing badminton is 60\(\%\) of the total number of boys. The number of children playing only table tennis is 40\(\%\) of the total number of children and a total of 12 children play badminton and table tennis both. What is the number of girls playing only badminton?