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27 Jan 2020, 10:53
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A
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
76% (01:25) correct
24%
(01:51)
wrong
based on 271
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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) \(m + q < n + p\)
(A) \(m - p > n - q\)
(B) \(p - m > q - n\)
(C) \(m - p < n - q\)
(D) \(mp > nq\)
(E) \(m + q < n + p\)
Source: Master GMAT
Updated on: 17 May 2021, 07:22
Originally posted by BrentGMATPrepNow on 27 Jan 2020, 12:32.
Last edited by BrentGMATPrepNow on 17 May 2021, 07:22, edited 1 time in total.
Last edited by BrentGMATPrepNow on 17 May 2021, 07:22, edited 1 time in total.
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SajjadAhmad
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) \(m + q < n + p\)
(A) \(m - p > n - q\)
(B) \(p - m > q - n\)
(C) \(m - p < n - q\)
(D) \(mp > nq\)
(E) \(m + q < n + p\)
Source: Master GMAT
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
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27 Jan 2020, 20:46
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Explanation:
Assume some numbers, let m=n=2
P=4 , Q=6
Checking Option A, m−p>n−q
2-4 > 2-6
-2 > -4.. Always true.
You can check with other values also.
IMO-A
Assume some numbers, let m=n=2
P=4 , Q=6
Checking Option A, m−p>n−q
2-4 > 2-6
-2 > -4.. Always true.
You can check with other values also.
IMO-A
