Sets And Relations - Algebra - Mathematics Previous Year Questions

If $A=\{x \mid x \in N, x$ is a prime number less than $12\}$ and $B=\{x \mid x \in N, x$ is a factor of 10$\}$, then $A \cap B=$ .............

If $A=\left(x \in R: x^2-5|x|+6=0\right\}$, then $n(A)=\ldots \ldots$

If \(A=\{x, y, z\}, B=\{1,2\}\), then the total number of relations from set \(A\) to set \(B\) are :

If $R=\{(a, b) / b=a-1, a \in Z, 5 < a < 9$, then the range of $R$ is

Let A = {10, 11, 12, 14, 26} and let f : A \(\to\) N be such that f(a) = highest prime factor of a, where a \(\in\) A, then range of f =

If $n(A)=4, n(B)=2$. Then the number of subsets of the set $\mathrm{A} \times \mathrm{B}$ each having at least 3 elements are