IPMAT Indore 2022 (MCQ) PYQs

In a survey of 500 people, it was found that 250 owned a 4-wheeler but not a 2-wheeler, 100 owned a 2-wheeler but not a 4-wheeler, and 100 owned neither a 4-wheeler nor a 2-wheeler. Then the number of people who owned both is

Let A and B be two finite sets such that $n(A - B)$, $n(A\cap B)$, $n(B - A)$ are in an arithmetic progression. Here $n(X)$ denotes the number of elements in a finite set $X$. If $n(A\cup B) = 18$, then $n(A) + n(B)$ is ____

Let the set $P= \{2,3,4,..., 25\}$. For each $k ∈ P$, define $Q(k)= \{x ∈ P$ such that $x > k$ and $k$ divides $x\}$. Then the number of elements in the set $P - U_{k=2}^{25} Q(k)$ is