IPMAT Indore (MCQ) PYQs

In a class, 60% and 68% of students passed their Physics and Mathematics examinations respectively. Then at least ________ percentage of students passed both their Physics and Mathematics examinations.

Let $P(X)$ denote power set of a set $X$. If $A$ is the null set, then the number of elements in $P(P(P(P(A))))$ is _________.

In a group of 150 students, 52 like tea, 48 like juice and 62 like coffee. If each student in the group likes at least one among tea, juice and coffee, then the maximum number of students that like more than one drink is: