Sets Relations And Functions Question 62

Question: Which is the simplified representation of $ (A’\cap B’\cap C)\cup (B\cap C)\cup (A\cap C) $ where A, B, C are subsets of set X?

Options:

A) A

B) B

C) C

D) $ X\cap (A\cup B\cup C) $

Show Answer

Answer:

Correct Answer: C

Solution:

  • [c] $ A’\cap B’\cap C= $ only C
    $ \therefore (A’\cap B’\cap C)\cup (B\cap C)\cup (A\cap C)=C $ (By Venn diagram)