List of top Quantitative Aptitude Questions

What will come in place of the question mark (?) in the following question ? \[ \frac{120 - 22 \times 6 \div 2}{\frac{1}{4} \text{ of } 256 \div 16 + 2} = ? \]

In what ratio must water be mixed with milk to gain 20% by selling the mixture at cost price?

What will come in place of the question mark (?) in the equation $ 38^2 + 63^2 + (?)^2 = 6089 $ ?

The average of 25 results is 18. The average of the first twelve of them is 14 and that of the last twelve is 17. What is the thirteenth result?

In the series 3, 9, 15, 21, _____, what is the ²⁰_th term?

What will come in place of the question mark (?) in the following question ?

50% of 6000 + 20% of ? = 4000

The following line graph gives the annual percent profit earned by a company during the period 1995 - 2000. If the income in 1998 was Rs. 264 crores, what was the expenditure in 1998?

There are 3 different types of rice weighing $435,\ 493,$ and $551$ kg respectively. The rice is packed in bags so that no two types are mixed and all bags are of equal size. Find the least number of bags.

There are two sections A and B of a class, consisting of 36 and 44 students, respectively. If the average weight of students of section A is 44 kg and those of section B is 39 kg, then the average weight of students of both the sections (in kg) is:

In the $XY$-plane, the area, in sq. units, of the region defined by the inequalities $y \ge x + 4$ and $-4 \le x^2 + y^2 + 4(x - y) \le 0$ is

The mean deviation of 3, 4, 5, 6, 7 is

A boat can go three-quarter of a kilometer upstream in 11 minutes 15 seconds and also cover the same distance downstream in 7 minutes 30 seconds. The speed of the boat in still water is:

If $ a^3 + b^3 = c^3 $, then $ (a + b - c)^3 + 27abc $ is equal to:

What is the area, in square units, of the triangle formed by the points $ (3, 2), (3, -6) $ and $ (5, 2) $?

The sum of the ages of a son and father is 56 years; after four years the age of the father will be three times that of the son. What is the age of the father and the son, respectively?

Let $x, y, z$ be real numbers such that $4(x^2 + y^2 + z^2) = a$ and $4(x - y - z) = 3 + a$, then find the value of $a$.

The sum of all distinct real values of x that satisfy the equation $10^x + \frac{4}{10^x} = \frac{81}{2}$ is

The terms $x_5 = -4$, $x_1, x_2, \dots, x_{100}$ are in an arithmetic progression (AP). It is also given that $2x_6 + 2x_9 = x_{11} + x_{13}$. Find $x_{100}$.

If $ x^4 - x^3 + 2x^2 + ax + b $ is exactly divisible by $ x^2 - 3x + 2 $, then $ (a, b) $ is

The greatest number of four digits which is divisible by 15, 25, 40, and 75 is:

Which term in the expansion of $( x - \frac{1}{x^3})^{40}$ is independent of $x$?

If $ x^2 + 2(K+2)x + 36 = 0 $ has equal roots, then $ K = $

The surface area of a closed rectangular box, which is inscribed in a sphere, is 846 sq cm, and the sum of the lengths of all its edges is 144 cm. The volume, in cubic cm, of the sphere is ?

If Rakesh borrows Rs. 36,000 from Sathesh at a rate of interest 6% S.I, at the end of four years, how much interest does Rakesh have to pay?

The roots $\alpha$, $\beta$ of the equation $3x^2 + \lambda x - 1 = 0$, satisfy $ \frac{1}{\alpha^2} + \frac{1}{\beta^2} = 15 $. The value of $ (\alpha^3 + \beta^3)^2 $ is