Question

Half of the villagers of a certain village have their own houses. One-fifth of the villagers cultivate paddy. Onethird 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 1

(b) Own housepaddyliterate (< 25)

where, x = total no. of villagers.

All the villagers who have their own houses are 50, while no. of literate villagers are 33, so (a) is not true.

No. of villagers under 25 is 80, while literate are 33, so clearly some of them under 25 are literate. 

Thus, option (b) is correct.

Similarly (c) and (d) also, are not true.