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Question

Half of the villagers of a certain village have their own houses. One-fifth of the villagers cultivate paddy. One-third of villagers are literate. Four-fifth of the villagers are below twenty five. Then, which of the following is certainly true?

A
At least 10 percent villagers who have their own houses are literate
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B
At least 25 percent of the villagers who have their own houses cultivate paddy.
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C
At least 50 percent of the villagers who cultivate paddy are below twenty five.
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D
At least 13.33 percent literate must be below twenty five
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Solution

The correct option is D At least 13.33 percent literate must be below twenty five
Given : 50 percent villagers have their own houses.
20 percent of the villagers cultivate paddy.
33.33 percent of the villagers are literate.
80 percent of the villagers are below twenty five.
If we take literate villagers on one side then there will be at least 13.33 of the villagers who must be below twenty five as there are 80% villagers are below twenty five.
Hence, at least 13.33 percent literate villagers must be below twenty five.

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