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99 Percentile Qs Bank for JEE MainMathematicsSets and Relations

For two sets A and B , if n A = 7 , n B = 13 and n A ∩ B = 5 , then the incorrect statement is

Options

An A ∪ B = 15
Bn A - B = 6
Cn A × B = 91
Dn A ∪ B × A ⋂ B = 75

Correct answer

B. n A - B = 6

Step-by-step solution

∵ n A = 7 , n B = 13 ∵ n A − B = n A − n A ∩ B = 7 − 5 = 2 n A ∪ B = n A + n B - n A ∩ B = 7 + 13 - 5 = 15 n A × B = n A × n B 7 × 13 = 91 n A ∪ B × A ∩ B = 15 × 5 = 75

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