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A survey of 100 users of a swimming pool in an apartment complex threw up the following data with regard to the usage: November only, 18; November but not October, 23; November and September, 8; November, 26; September 48; September and October, 8; and none of the three months, 24. Given this, how many users surveyed had used the pool for exactly 2 months?

A survey of 100 users of a swimming pool in an apartment complex threw up the following data with regard to the usage: November only, 18; November but not October, 23; November and September, 8; November, 26; September 48; September and October, 8; and none of the three months, 24. Given this, how many users surveyed had used the pool for exactly 2 months? Correct Answer 10

Calculation:

November only = 18

September = 48

November = 26

November but not October = 23

November and September = 8

September and October = 8

⇒ November + September + October = 3

∴ November and September only = 5

 September and October only = 5

⇒ Users used the pool for exactly 2 months = 5 + 5 = 10

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