Sets Test - 38...

In a selection process, a hundred candidate participate in Group Discussion sessions (GD) and Personal Interview (PI). The possibilities of a candidate's good performance in GD and in PI are independent of each other. It was found that $$20$$ candidates were good in GD and $$30$$ were good in PI. The number of candidates good in both GD and PI is expected to be about:

Let $$A\subset B$$ then $$A'\cap B'=$$

$$s = \{ x \in N:2 + {\log _2}\sqrt {x + 1}  > 1 - {\log _{1/2}}\sqrt {4 - {x^2}} \} $$ , then

Range of the function f(x) = cos (K sinx) is [-1, 1], then the positive integral value of K can be?

If n(U) = 50, n(A) = 20, $$n((A \cup B)')$$  = 18 then n(B - A) is

 Let $$N$$ be the set of non-negative integers, $$I$$ the set of integers,$$N_p$$ the set of non-positive integers, $$E$$ the set of even integers and $$P$$ the set of prime numbers. Then

The number of elements in the set $$\left\{ \left( a,b \right) /2{ a }^{ 2 }+3{ b }^{ 2 }=35,a,b\in z \right\} $$ when $$z$$ is the set of all integers is

If $$A=\{4^n-3n-1:n\in N\}$$ and $$B=\{9(n-1): n\in N\}$$, then?

$$A \cup B= A \cap B$$ if : 

The set $$ \left( A\cup B\cup C \right) \cap \left( A\cap B'\cap C' \right) '\cap C'$$ is equal to