Friday, 30 March 2012

Aptitude Question

In a group of 70 people, 37 like coffee, 52 like tea and each person likes at least one of the two drinks. How many people like both coffee and tea?
Let A and B denote the sets of people who like coffee and tea respectively. Then by inclusion-exclusion principle, number of people who like both coffee and tea = number of people who like coffee + number of people who like tea - number of people who like either coffee or tea = 37+52-70=19.

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