Question

The smallest rational number by which
1
3
should be multiplied so that its decimal expansion
terminates after one place of decimal, is
A) 1/10
B) 3/10
C) 3
D) 30

Answer 1

Answer:

Let x = p/q be a rational number, such that the prime factorization of q is of the form 2n 5m, where n, m are non - negative integers. Then x has a decimal expansion which terminates. So 1/3 should be multiplied by 3/10 so that it is in the form of 2n5m.