List of top Quantitative Aptitude Questions

The average weight of 5 quantities is 10 kg and the average weight of 3 of them is 9 kg. What is the average weight of the remaining 2?
A man has Rs. 480 in the form of one-rupee, five-rupee, and ten-rupee coins. The number of coins of each type is equal. What is the total number of coins he has?
If ABC × DEED = ABCABC, where A, B, C, D, and E are different digits. The values of D and E are:
A class starts at 10:00 AM and ends at 1:27 PM. Four sessions of equal duration are held during this interval. After every period, a rest of 5 minutes is given to the students. The exact duration of each session is:
The sum of the first six terms of an arithmetic progression is 54 and the ratio of the 10th term to its 30th term is 11 : 31. What is the 60th term of the progression?
What is the variance of the following data? \( 9, 10, 13, 14, 6, 11, 8, 7, 4, 18 \)
If U = { 1, 2, 3, 4, 5, 6, 7, 8 } is the universal set, A = { 2, 3, 6, 7 }, B = { 3, 4, 5, 6 }, and C = { 5, 6, 7, 8 }, then n[̅A ∩ (C - B)] + n[̅A ∩ (B ∨ C)] = k, where ̅A is the complement of set A. The value of k is:
In \( \triangle ABC \), \( \angle B = 90^\circ \), \( BC = 6 \, \text{cm} \), and \( AC = 10 \, \text{cm} \). What is the value of \( (\sin 2A - \cos 2A) \)?
Let \( U \) be the universal set, and \( A \) and \( B \) be the subsets of \( U \). If \( n(U) = 450 \), \( n(A) = 200 \), \( n(B) = 205 \), and \( n(A \cap B) = 15 \), then \( n(\overline{A}\cap \overline{B}) \) is equal to:
If \( 3x^2 - 5x + 1 = 0 \), then the value of \( x^2 + \frac{1}{9x^2} \) will be:
\[ \frac{\tan^2 \theta + \cot^2 \theta + 2}{\sec \theta \csc \theta}, \ 0^\circ<\theta<90^\circ, \text{ is equal to:} \]
If \( -4 \) is a root of the equation \( x^2 + ax - 4 = 0 \) and the equation \( x^2 + ax + b = 0 \) has equal roots, then what will be the value of \( \sqrt{a^2 + b^2} \)?
The value of \[ \sqrt{1 + \frac{\sqrt{3}}{2}} - \sqrt{1 - \frac{\sqrt{3}}{2}} \text{ is:} \]
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:
If \( f(x) = \frac{x-1}{x+1} \), then which of the following will be true?
For the nonempty sets \( A \) and \( B \), which of the following is NOT true? \( \overline{A} \) is the complement of A
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 \( y \)?
The range of the function \( f(x) = \sqrt{16 - x^2} \) is:
The sum of an infinite geometric progression is 18 and the sum of the squares of the terms of the progression is 81. The first term and the common ratio of the geometric progression are, respectively:
In an office, there are 215 employees who drink either tea or coffee. 94 out of them drink tea and 63 drink tea but not coffee. How many employees drink coffee but not tea?
The arithmetic mean of scores of 25 students in an examination is 50. Five of these students top the examination with the same score. If the scores of the other students are distinct integers with the lowest being 30, then the maximum possible score of the toppers is
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
A tea shop offers tea in cups of three different sizes. The product of the prices, in INR, of three different sizes is equal to 800. The prices of the smallest size and the medium size are in the ratio 2 : 5. If the shop owner decides to increase the prices of the smallest and the medium ones by INR 6 keeping the price of the largest size unchanged, the product then changes to 3200. The sum of the original prices of three different sizes, in INR, is
A four-digit number is formed by using only the digits 1, 2 and 3 such that both 2 and 3 appear at least once. The number of all such four-digit numbers 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