Which of the following is/are terminating decimal(s)?
I 299/(32^123)
II 189/(49^99)
III 127/(25^37)
Choices.
A) I only	B) I and III	C) II and III	D) II only	E) I, II, III
The fraction will have terminating decimal if and only if the denominator of the fraction is of the form (2^n)(5^m).   If you look at the denominators:   1) (32^123) =&gt; (2^(5*123))(5^0) =&gt; Terminating Decimal   2) (49^99) =&gt; Can't be expressed as (2^n)(5^m) =&gt; Non terminating Decimal   3) (25^37) =&gt; (2^0)(5^(2*37)) =&gt; Terminating Decimal   Hence 1 and 3 are terminating decimals =&gt; Choice [I and III]
<result>B</result>
Which of the following is/are terminating decimal(s)?
I 299/(32^123)
II 189/(49^99)
III 127/(25^37)