Question

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 are under 25 years of age. Which one of the following statements is certainly correct?

(a) All the villagers who have their own houses are literate.

(b) Some villagers under 25 years of age are literate.

(c) Only half of the villagers who cultivate paddy are literate.

(d) No villager under 25 years of age has his own house.

Answer 1

Correct option is (b) Some villagers under 25 years of age are literate.

Let total villagers = 30

own houses = \(\frac 12\) × 30 = 15

cultivate paddy = \(\frac 15\) × 30 = 6

literate = \(\frac 13\) × 30 = 10

under 25 years of age = \(\frac 45\) × 30 = 24

Some villagers under 25 years of age are literate.