List of top Mathematics Questions on sets asked in MET

Let \(A = \{1,2,3,4,5,6,7\}\) and \(B = \{3,6,7,9\}\). Then, the number of elements in the set \(\{ C \subseteq A : C \cap B \neq \phi \}\) is:

If \( A = \{1,2\}, B = \{1,2,3,4\}, C = \{5,6\}, D = \{5,6,7,8\} \), then state which of the following is true?

Let \(f(xy) = f(x) \cdot f(y)\) for all \(x, y \in \mathbb{R}\). If \(f'(1) = 2\) and \(f(4) = 4\), then \(f'(4)\) equal to

Let \( A = \{(x, y) : y = e^x, x \in \mathbb{R} \} \) and \( B = \{(x, y) : y = e^{-x}, x \in \mathbb{R} \} \). Then,

If $A$ and $B$ are two sets such that $n(A) = 17, n(B) = 23$ and $n(A \cup B) = 38$, then $n(A \cap B)$ is:

The number of subsets of a set containing $n$ elements is: