Q22 / 35 · NTA Abhyas (JEE Main) 2020 · Mathematics · Sets and Relations

The set A∪B∪C ∩ A∩ B ′ ∩ C ′ ′ is equal to

  • A
    A∩B
  • B
    A∩ C ′
  • Correct answer
    C
    B∪C
  • D
    B∩C

Solution

A∪B∪C ∩ A∩ B ′ ∩ C ′ ′
= A∪B∪C ∩ A ′ ∪B∪C
=A∩A'∪B∪C
=ϕ∪B∪C=(B∪C)

Hence, the correct answer is option: 'C'.

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