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In a group of 15 women, 7 have nose studs, 8 have ear rings and 3 have neither. How many of these have both nose studs and ear rings?

Question and options

In a group of 15 women, 7 have nose studs, 8 have ear rings and 3 have neither. How many of these have both nose studs and ear rings?
  1. 2
  2. 7
  3. 3
  4. 40

Answer and explanation

Correct answer: C - 3

Since 3 women have neither, 15 - 3 = 12 have at least one of the two. Adding the groups gives 7 + 8 = 15, which counts those with both twice, so both = 15 - 12 = 3. The answer 7 wrongly assumes every nose-stud wearer also has ear rings.

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  • CUSAT Three-Year LL.B.

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