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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 is below twenty-five. Then which one of the following is certainly true?

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 is below twenty-five. Then which one of the following is certainly true? Correct Answer Some villagers under twenty five are ilterate.

Let the total number of Villagers be 120

Half of the villagers of a certain village have their own houses.

So, the number of Villagers who have their own houses = 1/2 × 120 = 60

One-fifth of the villagers cultivate paddy.

The number of villagers who cultivate paddy = 1/5 × 120 = 24

One-third of the villagers are literate.

The number of villagers who are literate = 1/3 × 120 = 40

and, the number of villagers who are below 25 = 4/5 × 120 = 96

Given statements are:

1) All the villagers who have their own houses are literate. → All the villagers who have their own house are 60 and those who are literate are only 40 so this statement can't be true.

2) Some villagers under twenty-five are literate. → As the number of villagers under twenty-five are 96 and the number of literates is 40. So, the given statement is true.

3) A quarter of the villagers who have their own houses cultivate paddy. → This may or may not be true.

4) Half of the villagers who cultivate paddy are literate. → This may or may not be true.

Hence, the correct answer is "Option 2".

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