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Both P and Q are positive numbers, and S is a negative numbe
[#permalink]
Updated on: 14 Jun 2018, 09:08

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Question Stats:

Both P and Q are positive numbers, and S is a negative number. Which of the following fractions could be undefined?

A. \(\frac{P}{(Q + S)}\)

B. \(\frac{Q}{(P + S)}\)

C. \(\frac{S}{(P + Q)}\)

D. \(\frac{Q}{(S - P)}\)

E. \(\frac{S}{(P - Q)}\)

A. \(\frac{P}{(Q + S)}\)

B. \(\frac{Q}{(P + S)}\)

C. \(\frac{S}{(P + Q)}\)

D. \(\frac{Q}{(S - P)}\)

E. \(\frac{S}{(P - Q)}\)

Re: Both P and Q are positive numbers, and S is a negative numbe
[#permalink]
16 Jun 2018, 13:07

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I'll try to word this as clearly as I can.

For a fraction to be undefined, the denominator must be 0. In the question given to us, we do not have exact numbers, only that P & Q are positive and S is negative. This means we want to look for something like \((P+S)\) and \((Q+S)\). Looking at the answers, we see A and B follow this trend.

However, we are missing one more answer. The question never states that P & Q are two different numbers, meaning \((P-Q)\) or \((Q-P)\) is an additional possibility. Again, looking at the answers, we see that E fits as well.

The answers are A,B & E.

For a fraction to be undefined, the denominator must be 0. In the question given to us, we do not have exact numbers, only that P & Q are positive and S is negative. This means we want to look for something like \((P+S)\) and \((Q+S)\). Looking at the answers, we see A and B follow this trend.

However, we are missing one more answer. The question never states that P & Q are two different numbers, meaning \((P-Q)\) or \((Q-P)\) is an additional possibility. Again, looking at the answers, we see that E fits as well.

The answers are A,B & E.

Re: Both P and Q are positive numbers, and S is a negative numbe
[#permalink]
27 Aug 2021, 21:38

Hello from the GRE Prep Club BumpBot!

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.

Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.

gmatclubot

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