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In a survey of 500 people, it was found that 250 owned a 4-wheeler but not a 2-wheeler, 100 owned a 2-wheeler but not a 4-wheeler, and 100 owned neither a 4-wheeler nor a 2-wheeler. Then the number…

Question and options

In a survey of 500 people, it was found that 250 owned a 4-wheeler but not a 2-wheeler, 100 owned a 2-wheeler but not a 4-wheeler, and 100 owned neither a 4-wheeler nor a 2-wheeler. Then the number of people who owned both is
  1. 75
  2. 60
  3. 100
  4. 50

Answer and explanation

Correct answer: D - 50

The 500 people split into four groups: only 4-wheeler, only 2-wheeler, neither and both. So both = 500 - 250 - 100 - 100 = 50. The figure 100 wrongly treats one of the given groups as the overlap.

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  • IPMAT Indore

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