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TheUltimateWinner
Joined: 23 Feb 2015
Last visit: 30 Apr 2026
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Concentration: Finance, Technology
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Schools: Harvard '24 Judge '23 LBS '24 McCombs '24 Mendoza Tepper '24 Ross '24 Cox Marshall '24 Fisher Kelley '24 Jones McDonough '24 Owen '24 Terry BU Simon '24 Katz GWU Mason Babson Gabelli Foster '24 Goizueta '24 Scheller Stern '23 CBS '23 Booth '23 Haas '25 Wharton '25 Stanford '26 Johnson'23 Fuqua '23 Kellogg '23 Kenan-Flagler'23 INSEAD Aug 22 intake Olin '23 Said '23 Sloan '23 Carey Arizona "22 Yale '23 UC Davis Madison '23 Anderson '23 Carroll Carlson '23 Darden '23
Posts: 2,465
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2,462
06 Nov 2020, 11:50
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
15%
(low)
Question Stats:
84% (01:25) correct
16%
(01:34)
wrong
based on 56
sessions
History
Date
Time
Result
Not Attempted Yet
If \(m^4-n^4\) is an odd integer, where \(m\) and \(n\) are positive integers, which of the following must be an odd integer?
I. m+n
II. \(m^2+n^2\)
III. (m-n)(m+n)
A) none
B) I and II only
C) II and III only
D) I and III only
E) I, II, and III
I. m+n
II. \(m^2+n^2\)
III. (m-n)(m+n)
A) none
B) I and II only
C) II and III only
D) I and III only
E) I, II, and III
06 Nov 2020, 12:00
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TheUltimateWinner
m⁴ - n⁴ = (m² + n²)(m² - n²)
= (m² + n²)(m + n)(m - n)
= ODD
If (m² + n²)(m + n)(m - n) is ODD, then:
(m² + n²) is ODD
(m + n)(m - n) is ODD
(m + n) is ODD
(m - n) is ODD
Answer: E
Cheers,
Brent
