On multiplying a number by 7, the product is a number each of whose digits is 3. The smallest such number is ?

On multiplying a number by 7, the product is a number each of whose digits is 3. The smallest such number is ?

A 476190476

B 48617

C 47619

D 4587962

Solution

Correct Answer: Option C

By hit and trail, we find that

47619 x 7 = 333333.

7) 333333 (47619
333333
----------------
0

And 476190476 x 7 = 3333333333 but smallest number is 47619.