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NDA 2026 · PYQ · Set Theory · medium

(((A ∩ B) ∪ (A − B)) − ((A ∩ B) ∪ (B − A))) ∪ A is equal to

  1. A.φ
  2. B.A✓ Correct
  3. C.B
  4. D.A ∪ B

Explanation

(A ∩ B) ∪ (A − B) = A. (A ∩ B) ∪ (B − A) = B. So the expression becomes (A − B) ∪ A = A (since A − B ⊆ A). Hence the answer is A.
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