QUADRILATERALS || Quantitative Aptitude || CAT 2021 || 08 October

PQRS is a cyclic quadrilateral. If ∠P is 5 times ∠R, and ∠S is 2 times ∠Q, then the difference of ∠Q and ∠R is equal to:

ABCD is a parallelogram in which diagonals AC and BD intersects at O. If E, F, G, H are the mid points of AO, DO, CO and BO respectively, then the ratio of the perimeter of the quadrilateral EFGH to the perimeter of parallelogram ABCD is.

Two similar parallelograms have corresponding sides in the ration 1 : k. What is the ratio of their areas?

ABCD is a rectangle. P is a point inside the rectangle such that AP = 3 cm, PC = 4√2 cm and DP = 5 cm. If ∠APB = 90°, what is the length of rectangle?

is an equilateral triangle inside a square ABCD, if diagonal BD intersect side CE at O, then find the value of .

In quadrilateral ABCD, the bisectors of ∠A and ∠B meet at O and ∠AOB = 64^o. ∠C + ∠D is equal to :

In a trapezium ABCD, the two non-parallel sides AD and BC are equal in length each being of 13 cm. The parallel sides AB and CD are at a distance of 12 cm apart. If the smaller side of the parallel sides is of length 11 cm, then the sum of the lengths of the diagonals of the trapezium is:

One side of a rhombus is 13 cm and one of its diagonals is 24 cm. What is the area (in cm²) of rhombus?