IIM Kozhikode (QA) PYQs

Shalini got $30\%$ of the maximum marks in an exam. She failed by $50$ marks. Malini scored $40\%$ of the maximum, and this score was $20$ marks more than the pass mark. What is the pass mark?

$8\%$ of boys in a class made it past the 90th percentile, while $12\%$ of the girls in the same class made it past that mark. Suppose there are $120$ students in this class: what is the number of boys?

A factory kept increasing its output by the same percentage every year. Find the percentage if it is known that the output has doubled in the last two years. (assume $\sqrt{2} = 1.4142$)