Quantitative Aptitude PYQs

Simplify:\( (a + b) ^ 2 - (a - b) ^ 2\)

The value of (a - b)(a + b) + (b - c)(b + c) + (c - a)(c + a) is: 

A square pyramid has total surface area 576 cm² and base side 12 cm. What is its lateral area?

If x = 2.5 and y = \(\frac{5}{8}\), then (x - y) x 4 = ?

A water tank is filled 3/8^th in 15 minutes. How long to fill the full tank?

If the exterior angle of a regular polygon is 45°, how many diagonals does the polygon have?

In a regular polygon, the difference between each interior and exterior angle is 60°. Determine the number of sides of the polygon.

If a regular polygon has 35 diagonals, what is the measure of each of its interior angles?

The square root of a number is increased by 40%, and the result is 21. Find the original number.

A triangle with area 100 m² has height double its base. What are its dimensions?

A triangular tent has two identical triangular side panels, each with a base of 6 meters and height of 5 meters. The fabric required includes 10% extra material for stitching and cuts. If the fabric costs 200 per square meter, what is the total cost of the fabric used for both panels?

If the perimeter of a square is 25 cm, then how long is each side?

If the lengths of the diagonals of a rhombus are 12 cm and 16 cm, what is its area?

The area of a rhombus is 240 cm², and one of its diagonals is 20 cm. Find the length of the other diagonal.

A cylindrical rod with a volume of 75\(\pi\) cm³ is melted and recast into a hollow cylindrical pipe with an inner radius of 1 cm and outer radius of 2 cm. What will be the length of the new pipe?

A trader buys an item at Rs. 500 and marks it up by 60%. If he then offers a 25% discount on the marked price, what is his profit percentage?

A trader offers a 30% discount on the marked price and still makes a 5% profit. If the item costs him Rs. 2100, what is the marked price?

Convert 240° to radians. 

One angle is 5 less than 3 times its complement. Find the angle.

Convert 540° to radians.