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In the New Year’s party 500 were invited. 200 people opted for Indian food, 150 ate Italian food and…

120 people ate only Italian food. The Italian total consists of 120 eating only Italian, 14 eating exactly Indian and Italian, 10 eating exactly Italian and continental, and…

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In the New Year’s party 500 were invited. 200 people opted for Indian food, 150 ate Italian food and 100 people ate continental food. 14 people ate Indian and Italian food only, 10 people ate Italian and continental food only and 15 people ate Indian and continental food only. 6 people ate all three kinds of food. Find how many people ate only Italian food.

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Answer and explanation

Correct answer B

120 people ate only Italian food. The Italian total consists of 120 eating only Italian, 14 eating exactly Indian and Italian, 10 eating exactly Italian and continental, and 6 eating all three. Therefore 150 − 14 − 10 − 6 = 120.

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