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Retired Moderator
Joined: 19 Nov 2020
Posts: 326
Given Kudos: 64
GRE 1: Q160 V152
If q<1 and 2p-q=0, then which of the following must be true?
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10 Nov 2021, 20:39
10 Nov 2021, 20:39
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I am posting this interesting question from Scholarden to educate myself and some others with the following question-answer analysis and solution thoughts. I wonder if there is any other way to solve this 
If \(q<1\) and \(2p-q=0\), then which of the following must be true?
A. \(p>-1\)
B. \(p<-2\)
C. \(p=2\)
D. \(p<1\)
E. \(p>1\)
If \(q<1\) and \(2p-q=0\), then which of the following must be true?
A. \(p>-1\)
B. \(p<-2\)
C. \(p=2\)
D. \(p<1\)
E. \(p>1\)
Retired Moderator
Joined: 19 Nov 2020
Posts: 326
Given Kudos: 64
GRE 1: Q160 V152
Re: If q<1 and 2p-q=0, then which of the following must be true?
[#permalink]
10 Nov 2021, 21:44
10 Nov 2021, 21:44
1
If q<1 and 2p−q=0, then which of the following must be true?
2p=q and 2p<1 ----> p<1/2
A. p>−1. IF A is FALSE, THEN p is not greater than -1. A is FALSE, because p can be -2 and this satisfies p<1/2
B. p<−2. IF B is FALSE, THEN p is not less than -2. B is FALSE, because p can be -1, and this satisfies p<1/2
C. p=2. IF C is FALSE, THEN p is not equal to 1. C is FALSE, because when p=1 and this does not satisfy p<1/2
D. p<1. IF D is FALSE, THEN p is not less than 1. D is NOT FALSE, because p, which is equal or greater than 1 will not satisfy p<1/2
E. p>1. IF E is FALSE, THEN p is not greater than 1. E is FALSE, because p can be 0, and this satisfies p<1/2
2p=q and 2p<1 ----> p<1/2
A. p>−1. IF A is FALSE, THEN p is not greater than -1. A is FALSE, because p can be -2 and this satisfies p<1/2
B. p<−2. IF B is FALSE, THEN p is not less than -2. B is FALSE, because p can be -1, and this satisfies p<1/2
C. p=2. IF C is FALSE, THEN p is not equal to 1. C is FALSE, because when p=1 and this does not satisfy p<1/2
D. p<1. IF D is FALSE, THEN p is not less than 1. D is NOT FALSE, because p, which is equal or greater than 1 will not satisfy p<1/2
E. p>1. IF E is FALSE, THEN p is not greater than 1. E is FALSE, because p can be 0, and this satisfies p<1/2
gmatclubot
Re: If q<1 and 2p-q=0, then which of the following must be true? [#permalink]
10 Nov 2021, 21:44
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