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

Does the decimal equivalent of P/Q, where P and Q are positive integers, contain only
a finite number of nonzero digits?

(1) P>Q

P=4, Q=2, P/Q = 2.0 - Yes, P/Q contains a finite number of non zero digits
P=8, Q=3, P/Q = 2.666666..... - No, P/Q doesn't contain a finite number of non zero digits

(2) Q=8

P/Q = P/8 = 125*P/1000 =
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

the answer in the sets is given as E
i gues it is wrong..
anyway thanks a lot:)