If 3/11 < x/3 < 7/11, which of the following values can 'x' take?

Correct option is A

Given:

3/11 < x/3 < 7/11

Solution:

$$\frac{3}{11} < \frac{x}{3} < \frac{7}{11}$$​

9 < 11x < 21

Option (a)  1 

9 < 11x < 21

9 < 11 < 21

it is correct.

​Option (b)  0.5

9 < 11x < 21

9 < 11×0.5 < 21

9 < 5.5< 21

it is not correct 

​Option (c)  2

9 < 11x < 21

9 < 11×2< 21

9 < 22< 21

it is not correct.

​Option (c)  3

9 < 11x < 21

9 < 11×3< 21

9 < 33 < 21

hence correct answer is option (b)