A survey shows that 73% of the persons working in an office like coffee, whereas 65% like tea. If x denotes the percentage of them, who like both coffee and tea, then x cannot be:

Question

Accepted Answer

36. The percentage of people who like both coffee and tea cannot exceed the total percentage of those who like either beverage. Since 73% like coffee and 65% like tea, the maximum overlap (both) can be calculated using the principle of inclusion-exclusion, which shows that x must be at least 5% (73 + 65 - 100) and cannot exceed 65%. Therefore, 36% is not a valid percentage for those who like both, as it would imply an impossible overlap.

A survey shows that 73% of the persons working in an office like coffee, whereas 65% like tea. If x denotes the percentage of them, who like both coffee and tea, then x cannot be:

Solution

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