List of top Quantitative Aptitude Questions

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?
Let D and E be points on sides AB and AC, respectively, of a triangle ABC, such that AD : BD = 2 : 1 and AE : CE = 2 : 3. If the area of the triangle ADE is 8 sq cm, then the area of the triangle ABC, in sq cm, is
If  \(log_2[3 + log_ 3[4 + log_4(x - 1)] - 2 = 0\) then 4x equals
A circle of diameter 8 inches is inscribed in a triangle ABC where ∠ABC = 90°. If BC = 10 inches then the area of the triangle in square inches is
If \(5 - log_{10}\  \sqrt {1 + x }+ 4\  log_{10 }\  \sqrt {1-x} = log_{10}\  \frac {1}{\sqrt {1-x^2}}\), then \(100 x \) equals
What will be the remainder left when 268+368 is divided by 97?
A train of length 300 metres runs at a speed of 72 km/hr. In how much time it will cross a platform of length 200 metres?
A train is travelling at the rate of 36 km/hr. How many seconds it will take to cover a distance of 0.5 km?
A train running at the speed of 72 km/hr can cross a stationary pole in 10 seconds. How much time will it take to overtake a train of length 500 metres running at 54 km/hr in the same direction?
Two trains of lengths 300 metres and 500 metres are running at speeds of 90 km/hr and 54 km/hr, respectively. They are running in same direction and the smaller train is 400 metres behind larger train. In how much time will smaller train overtake the larger train?
A 300 metre long train is running at a speed of 72 km/hr.How many seconds it take to cross 500 metre long bridge ?
The speeds of two trains are in the ratio 6:7. If the second train runs 364 km in 4 hours, then the speed of the first train is

If A, B, C, D, E, F, G, H, I, J represent 0, 1, 2, 3, 4, 5, 6, 7, 8, 9 then (AB + CD) - GH = ?