Let $A, B, C$ be three sets such that $n(A \cap B) = n(B \cap C) = n(C \cap A) = n(A \cap B \cap C) = 2$. Then $n((A \times B) \cap (B \times C))$ is equal to -

In a city $20$ percent of the population travels by car,$50$ percent travels by bus and $10$ percent travels by both car and bus. Then the percentage of persons travelling by car or bus is......$\%$.

In a group of $1000$ people,there are $750$ people who can speak Hindi and $400$ who can speak English. How many can speak Hindi only?

Let $P(n) : 3^n < n!$ for $n \in N$. If this statement is true for all $n \geq \lambda$,then the smallest value of $\lambda$ is:

Let $Z$ be the set of integers. If $A = \{ x \in Z : 2^{(x + 2)(x^2 - 5x + 6)} = 1 \}$ and $B = \{ x \in Z : -3 < 2x - 1 < 9 \}$,then the number of subsets of the set $A \times B$ is:

If $A = \{1, 2, 3, 4, 5\}, B = \{2, 4, 6\}, C = \{3, 4, 6\},$ then $(A \cup B) \cap C$ is