Rahul@gurome wrote:

anirudhbhalotia wrote:Any decimal that has only a finite number of nonzero digits is a terminating decimal. For example, 24, 0.82 and 5.096 are three terminating decimals. If r and s are positive integers and the ratio r/s is expressed as a decimal, is r/s a terminating decimal ?

1. 90 < r < 100
2. s = 4

The trick to answer the question is a fact, which is: Any fraction in its reduced form with a denominator whose prime factors are only 2 and/or 5, is a terminating decimal and if any fraction in its reduced form has a denominator which contains any prime factor other than these two is a recurring decimal.

Thus, whether it is terminating or recurring depends upon the denominator.

Statement 1: 90 < r < 100
We don't know the denominator, s.

Not sufficient

Statement 2: s = 4
Only prime factor of s is 2.
Hence (r/s) is a terminating decimal whatever the value of r is.

Sufficient

The correct answer is B.