List of top Quantitative Aptitude Questions asked in NPAT

The value of \( \frac{0.35 \times 0.7}{0.63 \times 3.6} + 0.27 (0.83 + 0.16) \) is:
The sum of the first 10 terms of the series \( \frac{7}{3} + \frac{7}{5} + \frac{1}{5} + \frac{1}{9} + \cdots = \frac{a}{b} \), where HCF(a,b) = 1. What is the value of \( |a - b| \)?
If \( \sec \theta = a + \frac{1}{4a^2} \), \( 0^\circ<\theta<90^\circ \), then \( \csc \theta + \cot \theta = \):
If \( f(2x) = \frac{2}{2 + x} \) for all \( x>0 \), and \( 5f(x) = 8 \), then what is the value of \( x \)?
Let \( f(x) = \frac{3x - 5}{2x + 1} \). If \( f^{-1}(x) = \frac{-x + a}{bx + c} \), then what is the value of \( (a - b + c) \)?
The value of \( \frac{(1 + \cot \theta - \csc \theta)(1 + \tan \theta + \sec \theta)}{\tan^2 \theta + \cot^2 \theta - \sec^2 \theta \csc^2 \theta} \) is:
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:
The variance of the ten integers 11, 12, 13, ..., 20 is:
The expression \( \frac{(1 + \tan \theta) \cos \theta}{\sin \theta \tan \theta (1 - \tan \theta) + \sin \theta \sec^2 \theta} \) 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:
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 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:
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 \(\lvert x^2 - 5x \rvert = 6\)?
The ratio of the number of boys and the girls in a group is 5 : 8. If 4 more girls join the group and 5 boys leave the group, then the ratio of the number of boys to the number of girls becomes 1 : 2. Originally, what was the difference between the number of boys and girls in the group?
Two persons A and B start moving at the same time towards each other from points x and y, respectively. After crossing each other, A and B now take \( \frac{4}{6} \) hours and 6 hours, respectively, to reach their respective destinations. If the speed of A is 72 km/h, then the speed (in km/h) of B is:
A person borrows a sum of ₹10,920 at 10% p.a. compound interest and promises to pay it back in two equal annual instalments. The interest to be paid by him under this instalment scheme is:
Let \[ x = \sqrt{-4\sqrt{2} + 17 (-\sqrt{2})^2 + 2}. \] If \( x = a + b \sqrt{2} \), then what is the value of \( (a - b) \)?
In a year, out of 160 games to be played, a cricket team wants to win 80% of them. Out of 90 games already played, the success rate is \( 66 \frac{2}{3} \)% . What should be the success rate for the remaining games in order to reach the target?
The value of \( \left( \sqrt{\frac{5}{13}} \right) \left( \frac{14}{25} \right) + 2 \times \frac{3}{10} - \frac{7}{18} \times \left( \frac{1}{35} \right) \times \left( 3^{\frac{1}{5}} \right) + \left( 4^{\frac{1}{2}} \right) \times \left( 5^{\frac{1}{3}} \right) \) lies between:
If \( f(x) = \frac{x-1}{x+1} \), then for \( k>0 \), \( f^{-1} \left( \frac{1}{2k+3} \right) = ?
If \( U = \{ x \ | \ x \in \mathbb{N}, x \leq 10 \} \) is the universal set, and \( A = \{ 1, 3, 5, 7, 9 \} \), \( B = \{ 2, 4, 6, 8, 10 \} \), and \( C = \{ 1, 2, 3, 4 \} \), the number of elements in \( A - (B \cap C) - (B' \cap C') \) where \( B' \) and \( C' \) are the complements of B and C, respectively is: