# Solution: Find the numbers of persons who have eaten in both restaurants

A survey of 100 persons revealed that 72 of them had eaten at restaurant P and that 52 of them had eaten at restaurant Q. Which of the following could not be the number of persons in the surveyed group who had eaten at both P and Q?

#### Problem Statement: GE Board February 1994

A survey of 100 persons revealed that 72 of them had eaten at restaurant P and that 52 of them had eaten at restaurant Q. Which of the following could not be the number of persons in the surveyed group who had eaten at both P and Q?

There are 24 persons who have eaten in both restaurants.

Solution:

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