CAT 2016 Quantitative Ability

Question : 18 of 34

Marks: +1, -0

A rational number

A/B

, where A and B are co-prime, is converted into a decimal number. If both A and B are less than 100, then for how many values of B will

A/B

always be a terminating decimal?

Validate

Solution:

A/B

is always a terminating decimal, then B can either be 1 or can have only two prime factors i.e. 2 and 5. The possible values of B are 1,2,4, 5, 8,10,16, 20, 25, 32, 40, 50, 64 and 80, i.e. 14 values in all.

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