Question 13

In a survey conducted among 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 oneΒ newspaper?

Venn

As can be seen from the above venn diagram distribution. Rest of the households are not reading any newspaper.

Number of households reading only one newspaper = 22 + 26 + 16 = 64.

Hence, option C.

Note: The values of the venn diagram add to 106. As it is not explicitly mentioned in the question that every household reads at least one newspaper, so remaining (120 - 106 = 14) households do not read any of the given newspaper.Β 

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