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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 below twenty five. Then, which one of the following is certainly true?
- A.All the villagers who have their own houses are literate
- B.Some villagers under twenty five are literate
- C.A quarter of the villagers who have their own houses cultivate paddy
- D.Half of the villagers who cultivate paddy are literate
▶ Answer & Explanation
Correct answer: B. Some villagers under twenty five are literate
Given that 1/3 of the villagers are literate and 4/5 are below twenty-five, it is impossible for the two groups to be entirely separate. The intersection of these two groups must be non-empty. Therefore, there must be some villagers who are both under twenty-five and literate.
Source: UPSC gs1 2010