Quantitative Aptitude PYQs

If the average of 16, 28, 30, x, and 34 is 30, then the value of x is:

If a student scores 168 marks out of 350, what is their percentage score?

A field roller is in the shape of a cylinder whose diameter is 2.5 metres and length is 5.6 metres.

If the roller rolls at a speed of 15 revolutions per minute, then find the maximum area (in m²) that it can roll in 45 minutes.

Converting the decimal number 241 to the binary number system we get:

Which of the following relationship between the sets of integers, rational numbers, and real numbers holds good?

Which of the following conditions does NOT guarantee that two triangles are congruent?

In a circle, a chord subtends an angle of 60° at the center. What is the angle subtended by the same chord at any point on the remaining part of the circle?

If a pipe of length \(\sqrt{98}\) m is cut into 7 equal parts, what is the length of each part, and is it rational or irrational?

Find the fourth proportional to 16, 24, and 32.

If tan(2x) = 3/4, where x lies in the first quadrant, find the exact value of tan(6x)

A cyclist rides from town A to town B, which is 60 km away, at a speed of 15 km/h. After reaching town B, the cyclist immediately turns back and rides towards town A at a speed of 10 km/h. What is the cyclist's average speed for the entire journey?

If \( 4\sin^{2}\theta + 3\cos^{2}\theta = 13/4\), then \( \sin^{2}\theta \) is:

The angle of elevation of the top of a tower from a point on the ground is 45°. If the tower is 20 meters high, find the distance of the point from the base of the tower.

If \( x = {(\sqrt{5} + \sqrt{3})/(}{\sqrt{5} - \sqrt{3})} + ({\sqrt{5} - \sqrt{3})}/({\sqrt{5} + \sqrt{3})} \), then the value of x is:

Which of the following is true for all positive integers a and b, where a ≠ b?

A man borrowed ₹10,000 from two different moneylenders. One charges 5% simple interest per annum, and the other 7%. After 2 years, the total interest paid was ₹1,120. Find how much he borrowed from each.

A kite reaches a vertical height of 75 m from the ground. The string attached to the kite is inclined at 60° to the horizontal. The length of the string is:

If n is a natural number, then \( n(n+1)(n+2)(n+3)+1 \) is always:

32 men can dig a canal in 12 days. 3 days after they started working, 10 more men joined them. In how many more days will the remaining work be completed?

Two trains, each 750 meters long, are moving in opposite directions at speeds of 45 km/h and 55 km/h. How long will it take for the trains to completely pass each other?