Every family in a lane of Meerut was asked which newspapers it reads; the number outside the circles is the families that read neither. How many families were surveyed?

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Accepted Answer

100. Add every region once: 41 + 15 + 33 + 11 = 100. Leaving out the 11 outside gives 89, counting the 15 twice gives 115, and missing the overlap gives 85.

Every family in a lane of Meerut was asked which newspapers it reads; the number outside the circles is the families that read neither. How many families were surveyed?

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