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If pqr = 1, rst = 0, and spr = 0, which of the following must be zero?

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If pqr = 1, rst = 0, and spr = 0, which of the following must be zero? [#permalink]

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New post 18 May 2016, 02:16
2
1
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A
B
C
D
E

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  5% (low)

Question Stats:

86% (00:31) correct 14% (00:26) wrong based on 203 sessions

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Concentration: General Management, Operations
GMAT 1: 590 Q46 V25
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WE: Engineering (Energy and Utilities)
Re: If pqr = 1, rst = 0, and spr = 0, which of the following must be zero? [#permalink]

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New post 18 May 2016, 04:09
1
From 1 st equation = P,q,r cannot be zero
From 2 nd equation = s or t should be zero
From 3 rd equation = s should be zero
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Re: If pqr = 1, rst = 0, and spr = 0, which of the following must be zero? [#permalink]

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New post 18 May 2016, 04:24
pqr = 1 which means neither p / q/ r is 0

r x st = 0 , we know r is not 0 from above hence either s or t must be 0.

s x p x r = 0, we know from first expression that p and r are not 0 hence s =0.
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Re: If pqr = 1, rst = 0, and spr = 0, which of the following must be zero? [#permalink]

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New post 18 Apr 2017, 16:10
Top Contributor
Bunuel wrote:
If pqr = 1 , rst = 0 , and spr = 0, which of the following must be zero?

A. P
B. Q
C. R
D. S
E. T


If pqr = 1, then we can conclude that NONE of the three values is 0 (otherwise the product pqr would equal 0).
So, we know that p ≠ 0, q ≠ 0, and r ≠ 0

If spr = 0, then at least one of the three values (s, p or r) must equal 0
Since we already learned that p ≠ 0 and r ≠ 0, then it MUST be the case that s = 0

Answer:

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Brent
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Re: If pqr = 1, rst = 0, and spr = 0, which of the following must be zero?   [#permalink] 18 Apr 2017, 16:10
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If pqr = 1, rst = 0, and spr = 0, which of the following must be zero?

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