List of top Mathematics Questions on sets asked in COMEDK UGET

If \( P = \{5m : m \in N\} \) and \( Q = \{5^m : m \in N\} \), where \( N \) is set of natural numbers, then

Two finite sets have \( m \) and \( n \) elements. The total number of proper subsets of the first set is 119 more than the total number of subsets of the second set. Find the value of \( m-n \)

If \( A = \{1, 2, 4\} \), \( B = \{2, 4, 5\} \), \( C = \{2, 5\} \), then \[ (A - B) \cap (B - C) = \]

Let \( A = \{x : x = 4n + 1, n \in \mathbb{Z}, 0 \leq n < 4 \} \)
Let \( B = \{x : x = 15n + 4, n \in \mathbb{N}, n \leq 3 \} \)
Let \( C = \{x : x \text{ is a prime number}, x \in A \cup B \} \)
Then the cardinal number of set \( C \) is