decimal

[ketkoag]

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
(2) Q=8

my ans: B OA : E

[Uri]

i also think that the answer should be (B). any integer divided by any power of 2 will always give a terminating decimal.

can you please mention your source?

[stevestein]

With the first piece of information, that P > Q, we could create a scenario where the decimal equivalent of P/Q does have a finite number of digits (4/2 = 2, for example), but we could also substitute numbers which would create an infinite number of digits (4/3 = 1.333..., for example).

The second piece of information, however, is sufficient by itself to answer the question posed, because if Q = 8, any value we substitute for positive integer P will create a decimal equivalent with a finite number of digits. Therefore the correct answer choice is (B).

[ketkoag]

thanks steve..