GMATbuster92 wrote:

if p and q are positive integers , will the fraction P/Q terminating?

1) 7 is the factor of Q

2) 14 is not factor of P

Given, p>0, q>0 and they are integers.

Question stem:- will the fraction P/Q terminating?

St1:- 7 is the factor of Q

Or, Q=7*k , where k is non-negative integer

1) when k=1, Q=1 then P/Q is a terminating decimal

2) When k is other than a multiple of 2 or 5, P/Q is not a terminating decimal.

Insufficient.

St2:- 14 is not factor of P

The denominator of a fraction decides whether its a terminating decimal or not.

Since nature of denominator is not given, we can't say about the nature of the fraction.

Insufficient.

Combined, same scenarios as stated in st1.

Insufficient.

Ans. (E)

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Regards,

PKN

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