Question

If universal set U = {0, 1, 2, 3, 4, 5, 6, 7}
A = (2, 3, 7}, B = {4, 6} and C = {0, 2, 4, 6}.
Find B′ ∩ C′ .

• A. {4, 6}
• B. {4,6,0,2}
• C. {1,3,5,7}
• D. {6,0,2}

Answer 1

The correct option is C {1,3,5,7}

U={0,1,2,3,4,5,6,7}
B′ = ∪ – B = {0, 1, 2, 3, 5, 7}
C′ = ∪ – C = {1, 3, 5, 7}
$\therefore B^{\prime }\cap C^{\prime }=\{0,1,2,3,5,7\}\cap \{1,3,5,7\}$
$\Rightarrow B^{\prime }\cap C^{\prime }=\{1,3,5,7\}$

So, option c is correct.