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Miscellaneous·2021·Easy

Half of the villagers of a certain village have their own houses. One-fifth of the villagers cultivate paddy. One-third of the villagers are literate. Four-fifth of the villagers are under 25 years of age. Which one of the following statements is certainly correct?

Half of the villagers of a certain village have their own houses. One-fifth of the villagers cultivate paddy. One-third of the villagers are literate. Four-fifth of the villagers are under 25 years of age. Which one of the following statements is certainly correct?

Options

  1. a.

    All the villagers who have their own houses are literate.

  2. b.

    Some villagers under 25 years of age are literate.

    Correct answer
  3. c.

    Only half of the villagers who cultivate paddy are literate.

  4. d.

    No villager under 25 years of age has his own house.

Explanation

50% of the villagers have their own house. 20% of the villagers cultivate paddy. 33.33% of the villagers are literate. 80% of the villagers are under 25 years of age. Now, as 80% of the villagers are under 25 years of age, and 33.33% of the villagers are literate, so at least some of the villagers under 25 years of age must be literate.

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