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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 : (1) 55 (2) 37 (3) 29 (4) 65

1. 55
2. 37
3. 29
4. 65

Correct answer: 55

Solution

The value of x, representing the percentage of people who read both newspapers, must be less than or equal to the smaller percentage of readers for either newspaper. Since 63% read newspaper A, the maximum overlap with newspaper B (76%) can be 63%, but the minimum overlap must also satisfy the inclusion-exclusion principle, leading to a possible value of 55%.

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