IIM-K (BMSAT) 2025 (QA) PYQs

From the four corners of a rectangular sheet of dimensions 25 cm $\times$ 20 cm, square of side 2 cm is cut off from four corners and a box is made. The volume of the box is

PQRS is a cyclic quadrilateral whose diagonals PR and QS intersect at the point T. $\angle SQR$ measures $72^\circ$, and $\angle QPR$ measures $28^\circ$. What is the measure of $\angle QRS$?

A circle, square, equilateral triangle and regular pentagon have the same areas. Arrange the following in ascending order based on their perimeters.

(A) Circle

(B) Square

(C) Equilateral triangle

(D) Regular pentagon