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.