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Question

A survey shows that 63% of the people watch news whereas 76% watch sports. If x% of people watch both sports and news, then


A

x=39

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B

x=63

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C

39x63

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D

0x39

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Solution

The correct option is C

39x63


Let A be the set of percentage of those people who watch news and B be the set of percentage of those people who watch sports.
n(A)=63,n(B)=76,and n(AB)=xn(AB)100n(A)+n(B)n(AB)10063+76x100x39Also, n(AB)min{n(A),n(B)}x6339x63


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