The question asks you if P/Q is a terminating decimal.
For a terminating decimal, the denominator should contain only factors of 2 or 5 or only 2 and 5. Numerator can be anything.
(1) P > Q -> Insufficient
(2) Q = 2^3 -> We can say the decimal will be a terminating decimal. Sufficient. B IMO
DS
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shankar.ashwin
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Does the decimal equivalent of P/Q, where P and Q are positive integers, contain only
a finite number of nonzero digits?
P=8, Q=3, P/Q = 2.666666..... - No, P/Q doesn't contain a finite number of non zero digits
If P = 10; P/Q = 125*P/1000 = 1250/1000 = 0.125
If P = 7 ; P/Q = 125*P/1000 = 875/1000 = 0.875
Irrespective if the value of P, P/Q is always a terminating decimal. Sufficient!
Option B
Terminating decimal
a finite number of nonzero digits?
P=4, Q=2, P/Q = 2.0 - Yes, P/Q contains a finite number of non zero digits(1) P>Q
P=8, Q=3, P/Q = 2.666666..... - No, P/Q doesn't contain a finite number of non zero digits
P/Q = P/8 = 125*P/1000 =(2) Q=8
If P = 10; P/Q = 125*P/1000 = 1250/1000 = 0.125
If P = 7 ; P/Q = 125*P/1000 = 875/1000 = 0.875
Irrespective if the value of P, P/Q is always a terminating decimal. Sufficient!
Option B
Terminating decimal
Anil Gandham
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