ISRO | ISRO CS 2020 | Question 51

If A = {x, y, z} and B = {u, v, w, x}, and the universe is {s, t, u, v, w, x, y, z}. Then (A U B’) ∩ (A ∩ B) is equal to
(A) {u, v, w, x}
(B) { }
(C) {u, v, w, x, y, z}
(D) {u, v, w}
(E) None of these


Answer: (E)

Explanation: If A = {x, y, z} and B = {u, v, w, x}, and the universe is {s, t, u, v, w, x, y, z}.

So,

B' = {s, t, y, z} 

And,

= (A U B') ∩ (A ∩ B)
= {s, t, y, z, x} ∩ {x}
= {x} 

So, option (E) is correct.

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