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Fewest number of digits to the right of decimal means those choices having non terminating decimals will be eliminated.
So that eliminates C and D,as they have 3 in denominator.

Now we are left with A,B and E which have either 2 or 5 (factors of 10 to qualify for terminating decimals) to be terminating in nature.
If we look closely 5 can divide anything ending in 0.
So shortest decimal will be for B as it has 5 in denominator.

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