CAT (QA) PYQs

The cost of fencing a rectangular plot is $200$ per ft along one side, and $100$ per ft along the three other sides. If the area of the rectangular plot is $60000$ sq. ft, then the lowest possible cost of fencing all four sides, in INR, is

Let $ABCD$ be a parallelogram. The lengths of the side $AD$ and the diagonal $AC$ a $10$ cm and $20$ cm, respectively. If the angle $\angle ADC$ is equal to $30^\circ$ then the area of the parallelogram, in sq. cm, is

In a rectangle ABCD, AB = 9 cm and BC = 6 cm. P and Q are two points on BC such that the areas of the figures ABP, APQ, and AQCD are in geometric progression. If the area of the figure AQCD is four times the area of triangle ABP, then BP : PQ : QC is