List of top Quantitative Aptitude Questions

A certain sum of money becomes 13,824 after 3 years and 32,768 after 6 years if the interest is compounded annually. What is the rate of interest per annum?

Among 165 examinees in a certain school, the ratio of successful to unsuccessful students is 10: 1. If 5 more students were successful, then what would have been the ratio of successful to unsuccessful students?

Let $ x $ be the median of the data: 13, 17, 52, 56, 65, 35, 77, 39, 15, 37. If 35 is replaced by 53 in the data, then the median of the new data will be $ y $. What is the difference between $ x $ and $ y $?

A park is shaped like a rhombus and has area 96 sq m. If 40 m of fencing is needed to enclose the park, the cost, in INR, of laying electric wires along its two diagonals, at the rate of ₹125 per m, is

If $x_0 = 1, x_1 = 2, and \space x_{n + 2} =\frac{ 1+x_{n+1}}{x_n}, n = 0, 1, 2, 3,...,$ then $x_{2021}$ is equal to?

A person buys tea of three different qualities at ₹ 800, ₹ 500, and ₹ 300 per kg, respectively, and the amounts bought are in the proportion 2 : 3 : 5. She mixes all the tea and sells one-sixth of the mixture at ₹ 700 per kg. The price, in INR per kg, at which she should sell the remaining tea, to make an overall profit of 50%, is

Suppose one of the roots of the equation $a x^2 - b x + c = 0 $ is $ 2 + \sqrt{3}$, where a, b and c are rational numbers and $a ≠ 0$. If $b = c^3$ then |a| equals

For all real numbers $ x $, the condition $ |3x - 20| + |3x - 40| = 20 $ necessarily holds if

For a 4-digit number, the sum of its digits in the thousands, hundreds and tens places is 14, the sum of its digits in the hundreds, tens and units places is 15, and the tens place digit is 4 more than the units place digit. Then the highest possible 4-digit number satisfying the above conditions is

Two trains A and B were moving in opposite directions, their speeds being in the ratio 5 : 3. The front end of A crossed the rear end of B 46 seconds after the front ends of the trains had crossed each other. It took another 69 seconds for the rear ends of the trains to cross each other. The ratio of length of train A to that of train B is

Anil can paint a house in 12 days while Barun can paint it in 16 days. Anil, Barun, and Chandu undertake to paint the house for ₹ 24000 and the three of them together complete the painting in 6 days. If Chandu is paid in proportion to the work done by him, then the amount in INR received by him is

In a triangle $ABC , ∠ BCA =50°$. D and E are points on AB and AC, respectively, such that AD = DE. If F is a point on BC such that BD = DF, then $∠ FDE$, in degrees, is equal to

How many three-digit numbers are greater than 100 and increase by 198 when the three digits are arranged in the reverse order?

Let ABCD be a parallelogram. The lengths of the side AD and the diagonal AC are 10 cm and 20 cm, respectively. If the angle $∠ADC $ is equal to 30° then the area of the parallelogram, in sq. cm, is

If
$ \sec(5^\circ - 2\theta) = \csc(5\theta - 5^\circ),\ 0^\circ < \theta < 90^\circ $,
then what will be the value of
$ \frac{\sin 3\theta + \tan 2\theta}{\sec 2\theta} $?

In $ \triangle ABC $, $ \angle B = 90^\circ $, $ BC = 6 \, \text{cm} $, and $ AC = 10 \, \text{cm} $. What is the value of $ (\sin 2A - \cos 2A) $?

If the standard deviation of $ x_1, x_2, x_3, \dots, x_n $ is $ k $, then what will be the standard deviation of $ \frac{10x_1 - 7}{2} $, $ \frac{10x_2 - 7}{2} $, ......., $ \frac{10x_n - 7}{2} $?

What is the variance of the following data? $ 9, 10, 13, 14, 6, 11, 8, 7, 4, 18 $

Two persons, on either side of a tower 45 m high, observe the angles of elevation of the top of the tower to be 30° and 60°, respectively. The distance (in m) between the two persons is:

The expression $ \frac{(2\sin^2\theta - 1)(1 + \tan^2\theta)(\sec\theta + \tan\theta)(1 - \sin\theta)}{(\sec^2\theta - 1)(\tan\theta - \cot\theta)\cos^2\theta} $ for $ 0^\circ<\theta<90^\circ $ is equal to:

\[ \frac{\tan^2 \theta + \cot^2 \theta + 2}{\sec \theta \csc \theta}, \ 0^\circ<\theta<90^\circ, \text{ is equal to:} \]

A biased coin is such that the probability of getting a head is thrice the probability of getting a tail. If the coin is tossed 4 times, what will be the probability of getting a head all the times?

The mean deviation (correct to one decimal place) of the numbers 3, 10, 6, 11, 14, 17, 9, 8, 12 about the mean is:

If the mean of the following distribution is 22, then what will be the value of x?

Class	Frequency
0 – 10	12
10 – 20	16
20 – 30	6
30 – 40	x
40 – 50	9

If $ \alpha $ and $ \beta $ are the roots of the equation $ 2x^2 + 5x + k = 0 $, and $ 4(\alpha^2 + \beta^2 + \alpha\beta) = 23 $, then which of the following is true?