In a survey of 120 houses, it was found that 50 read Times of India, 60 read Indian Express and 48 read…
64 houses read only one newspaper. The pair figures include the 10 who read all three. Only Times of India = 50 − 20 − 18 + 10 = 22; only Indian Express = 60 − 20 − 24 + 10…
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In a survey of 120 houses, it was found that 50 read Times of India, 60 read Indian Express and 48 read Hindustan Times; 20 read Times of India and Indian Express, 18 read Times of India and Hindustan Times, and 24 read Indian Express and Hindustan Times. If 10 read all three, how many read only one newspaper?
Answer and explanation
Correct answer C
64 houses read only one newspaper. The pair figures include the 10 who read all three. Only Times of India = 50 − 20 − 18 + 10 = 22; only Indian Express = 60 − 20 − 24 + 10 = 26; only Hindustan Times = 48 − 18 − 24 + 10 = 16. Adding, 22 + 26 + 16 = 64. Of the other figures, 32 is the number who read exactly two newspapers (10 + 8 + 14), 50 is everyone who reads Times of India, and 84 is too large: only 50 + 60 + 48 − 20 − 18 − 24 + 10 = 106 houses read any newspaper, and 32 + 10 = 42 of them read two or more.
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