List of top Quantitative Aptitude Questions

Given \( f(x) = \frac{-4x + 1}{4} \) and \( g(x) = \sqrt[3]{x} \), then \( (g \circ f^{-1})\left(\frac{3}{8}\right) = \)
Let \( U = \{1,2,3,4,5,6,7,8,9\}, A = \{1,2,3,4\}, B = \{2,4,6,8\}, C = \{3,4,5,6\} \). The number of elements in \( A \cap C - (B - C) \), where \( A \cap C \) and \( B - C \) are the complements of \( A \cap C \) and \( B - C \), respectively is:
Let \( U \) be the universal set, and \( A, B, C \) are the sets such that \( C \subset A \) and \( B \cap C = \emptyset \). If \( n(U) = 105 \), \( n(A) = 58 \), \( n(B) = 50 \), \( n(A \cap B) = 20 \) and \( n(A \cup C) = 32 \), then \( n(A \cup B) - n(B \cap C) \) is:
The variance of the ten integers 11, 12, 13, ..., 20 is:
The mean of the following distribution is 25. \[ \begin{array}{|c|c|} \hline \text{Class} & \text{Frequency} \\ \hline 0-10 & 14 \\ 10-20 & p \\ 20-30 & 27 \\ 30-40 & 21 \\ 40-50 & 15 \\ \hline \end{array} \]
What is the median of the following distribution? \[ \begin{array}{|c|c|} \hline x_i & f_i \\ \hline 8 & 4 \\ 9 & 6 \\ 10 & 2 \\ 11 & 3 \\ 12 & 7 \\ 13 & 6 \\ 14 & 4 \\ \hline \end{array} \]
The variance of the ten integers 11, 12, 13,........ 20 is:
The mean of the following distribution is 25. \[ \begin{array}{|c|c|} \hline \text{Class} & \text{Frequency} \\ \hline 0-10 & 14 \\ 10-20 & p \\ 20-30 & 27 \\ 30-40 & 21 \\ 40-50 & 15 \\ \hline \end{array} \]

What is the median of the following distribution? \[ \begin{array}{|c|c|} \hline x_i & f_i \\ \hline 8 & 4 \\ 9 & 6 \\ 10 & 2 \\ 11 & 3 \\ 12 & 7 \\ 13 & 6 \\ 14 & 4 \\ \hline \end{array} \] 

The expression \( \frac{\sec^6 \theta - \tan^6 \theta - 3 \sec^2 \theta \tan^2 \theta}{1 + 2 \sin^2 \theta - \sin^4 \theta + \cos^4 \theta} \) is equal to:
The value of \( \frac{\sin^2 \theta (2 + \cot^2 \theta) - \sin^2 \theta + 2}{\tan^2 \theta + \cot^2 \theta - \sec^2 \theta \csc^2 \theta} \) is:
If \( \sec \theta + \tan \theta = p \), then \( \frac{\sin \theta - 1}{\sin \theta + 1} \) is equal to:
The heights (in cm) of 8 students are recorded as 162, 163, 160, 164, 160, 170, 161, 164. The standard deviation of the data is closest to:
From a point on a bridge across a river, the angles of depressions of the banks on opposite sides of the river are \(30^\circ\) and \(60^\circ\), respectively. If the height of the bridge from the banks is \( h \) metres and the width of the river is \( k \) metres, then \( h : k \) is equal to:
The expression \( \frac{(1 + \tan \theta) \cos \theta}{\sin \theta \tan \theta (1 - \tan \theta) + \sin \theta \sec^2 \theta} \) is equal to:
The marks obtained by seven students in a test are: 36, 46, 70, 60, 20, 18, 30. What is the mean deviation of the data from the mean?
When 8 is added to each of the given 'n' numbers, the sum of the resulting numbers is 207. When 5 is subtracted from each of the given 'n' numbers, the sum of the resulting numbers is 77. What is the mean of the given 'n' numbers?
A coin is biased so that the probability of obtaining a head is 0.25. Another coin is biased so that the probability of obtaining a tail is 0.4. If both the coins are tossed together, the probability of obtaining at least one head is:
The graphs of \(2x - y = 1\) and \(3x - 2y = -1\) intersect at a point \(P\), which lies on the graph of the equation:
The sum of the first three terms of an infinite geometric progression, with common ratio less than one, is 56. If 1, 7 and 21 are subtracted from its first, second and third term, respectively, then these three terms are in the arithmetic progression. The common ratio of the progression is:
In an arithmetic progression, the 4th term equals three times the first term and the 7th term exceeds two times the third term by one. The sum of its first ten terms is:
If \(a^2 + c^2 + 17 = 2(a - 2b^2 - 8b)\), then the value of \((a + b + c) \left( [(a - b)^2 + (b - c)^2 + (c - a)^2] \right)\) is:
The ratio of the sum of the first \(m\) terms to the sum of the first \(n\) terms of an arithmetic progression is \(m^2 : n^2\). What is the ratio of its 17th term to the 29th term?
If the roots of the equation \(x^2 - 2(1+3k)x + 7(3+2k) = 0\) are equal, where \(k<0\), then which of the following is true?
Which of the following statements is true about the solutions of the equation \(\lvert x^2 - 5x \rvert = 6\)?