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If m=n and p < q, which of the following must be true?
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17 Mar 2021, 09:43
17 Mar 2021, 09:43
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Question Stats:
77% (01:20) correct
22% (02:03) wrong based on 35 sessions
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If \(m=n\) and \(p < q\), which of the following must be true?
(A) \(m - p > n - q\)
(B) \(p - m > q - n\)
(C) \(m - p < n - q\)
(D) \(mp > nq\)
(E) \(m + q < n + p\)
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
(A) \(m - p > n - q\)
(B) \(p - m > q - n\)
(C) \(m - p < n - q\)
(D) \(mp > nq\)
(E) \(m + q < n + p\)
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
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Joined: 10 Apr 2015
Posts: 6218
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Re: If m=n and p < q, which of the following must be true?
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17 Mar 2021, 17:05
17 Mar 2021, 17:05
2
Carcass wrote:
If \(m=n\) and \(p < q\), which of the following must be true?
(A) \(m - p > n - q\)
(B) \(p - m > q - n\)
(C) \(m - p < n - q\)
(D) \(mp > nq\)
(E) \(m + q < n + p\)
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
(A) \(m - p > n - q\)
(B) \(p - m > q - n\)
(C) \(m - p < n - q\)
(D) \(mp > nq\)
(E) \(m + q < n + p\)
Kudos for the right answer and explanation
Question part of the project GRE Quantitative Reasoning Daily Challenge - (2021) EDITION
GRE - Math Book
Given: \(p < q\)
Multiply both sides of the inequality by -1 to get: \(-p > -q\) (since we multiplied both sides of the inequality by NEGATIVE value, we REVERSED the direction of the inequality symbol)
Add \(m\) to both sides to get: \(-p + m> -q + m\)
Since we're told that \(m=n\), we can replace the second \(m\) with \(n\) to get: \(-p + m> -q + n\)
Rearrange the terms to get: \(m-p> n-q\)
Answer: A
Cheers,
Brent
Re: If m=n and p < q, which of the following must be true?
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06 Jun 2024, 08:39
06 Jun 2024, 08:39
Hello from the GRE Prep Club BumpBot!
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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.
