Correct Answer - Option 2 : Some villagers under twenty five are literate

Let the total number of Villagers be 100x

So, the number of Villagers who have their own houses = 1/2×100x = 50x

The number of villagers who cultivate paddy. = 1/5 × 100x = 20x

The number of villagers who are literate = 1/3 × 100x = 33.33x

and, the number of villagers who are below 25 = 4/5 × 100x = 80x

Given statements are:

1) All the villagers who have their own houses are literate. → All the villagers who have their own house are 50x and those who are literate are only 33.33x so this statement can't be true.

**2) Some villagers under twenty five are literate. → As, the number of villagers under twenty five are 80x and number of literate are 33.33x. 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, **option 2** is the correct answer.