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Both P and Q are positive numbers, and S is a negative numbe

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Joined: 07 Jan 2018
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Kudos [?]: 785 [2] , given: 88

Both P and Q are positive numbers, and S is a negative numbe [#permalink]  14 Jun 2018, 00:30
2
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Question Stats:

66% (00:31) correct 33% (00:22) wrong based on 21 sessions
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. $$\frac{S}{(P - Q)}$$
[Reveal] Spoiler: OA

Last edited by Carcass on 14 Jun 2018, 09:08, edited 1 time in total.
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Joined: 02 May 2018
Posts: 58
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Kudos [?]: 32 [1] , given: 22

Re: Both P and Q are positive numbers, and S is a negative numbe [#permalink]  16 Jun 2018, 13:07
1
KUDOS
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.
Re: Both P and Q are positive numbers, and S is a negative numbe   [#permalink] 16 Jun 2018, 13:07
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