Question

A survey shows that 63% of the people in a city read newspaper A whereas 76% read newspaper B.If x% of the people read both the newspapers, then a possible value of x can be D) 55 C) 29 B) 37 A) 65 61​

Answer 1

Answer:

Given n(A)=63% and n(B)=76%

⇒n(A∪B)=n(A)+n(B)−n(A⋂B)

⇒n(A∪B)=63+76−n(A⋂B)

Since n(A∪B)≤100

⇒63+76−n(A⋂B)≤100

⇒n(A⋂B)≥39

⇒x≥39

Generally n(A⋂B)≤n(A) and n(A⋂B)≤n(B)

⇒n(A⋂B)≤63 and n(A⋂B)≤76

Combining we get ;

⇒n(A⋂B)≤63

⇒x≤63

⇒39≤x≤63