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Q.

Let n(A-B) = 25 + x, n(B-A) = 2x and nA∩B=2x. If n(A) = 2(n(B)) then ‘x’ is

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a

4

b

5

c

6

d

7

answer is B.

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Detailed Solution

nA−B=25+x,nB−A=2xnA∩B=2x; nA=n(A−B)+nA∩B=25+x+2x=25+3xn(B)=nB−A+nA∩B=2x+2x=4xn(A)=2nB⇒25+3x=2(4x)⇒5x=25⇒x=5

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