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# For all numbers m and n, m @ n = (2m – n)(m + n). If m = 3 and n = 4,

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Math Expert
Joined: 02 Sep 2009
Posts: 59589
For all numbers m and n, m @ n = (2m – n)(m + n). If m = 3 and n = 4,  [#permalink]

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15 Nov 2018, 03:53
00:00

Difficulty:

25% (medium)

Question Stats:

72% (00:54) correct 28% (00:59) wrong based on 81 sessions

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For all numbers m and n, m?n = (2m – n)(m + n). If m = 3 and n = 4, then n?m =

A. 35
B. 14
C. 7
D. −7
E. −14

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Joined: 18 Aug 2017
Posts: 5436
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
Re: For all numbers m and n, m @ n = (2m – n)(m + n). If m = 3 and n = 4,  [#permalink]

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15 Nov 2018, 04:13
1
Bunuel wrote:
For all numbers m and n, m N = (2m – n)(m + n). If m = 3 and n = 4, then n m =

A. 35
B. 14
C. 7
D. −7
E. −14

any specific reason n is highlighted blue and is in capital Bunuel ... is answer 14?
Math Expert
Joined: 02 Sep 2009
Posts: 59589
Re: For all numbers m and n, m @ n = (2m – n)(m + n). If m = 3 and n = 4,  [#permalink]

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15 Nov 2018, 04:17
Archit3110 wrote:
Bunuel wrote:
For all numbers m and n, m N = (2m – n)(m + n). If m = 3 and n = 4, then n m =

A. 35
B. 14
C. 7
D. −7
E. −14

any specific reason n is highlighted blue and is in capital Bunuel ... is answer 14?

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Edited. Thank you.
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GMAT Club Legend
Joined: 18 Aug 2017
Posts: 5436
Location: India
Concentration: Sustainability, Marketing
GPA: 4
WE: Marketing (Energy and Utilities)
For all numbers m and n, m @ n = (2m – n)(m + n). If m = 3 and n = 4,  [#permalink]

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Updated on: 15 Nov 2018, 05:04
Bunuel wrote:
For all numbers m and n, m?n = (2m – n)(m + n). If m = 3 and n = 4, then n?m =

A. 35
B. 14
C. 7
D. −7
E. −14

m?n= (2m – n)(m + n)

n?m= (2n-m)(m+n)
= (2*4-3)(4+3)
=35 option A.

Originally posted by Archit3110 on 15 Nov 2018, 04:22.
Last edited by Archit3110 on 15 Nov 2018, 05:04, edited 1 time in total.
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Joined: 19 Oct 2013
Posts: 511
Location: Kuwait
GPA: 3.2
WE: Engineering (Real Estate)
Re: For all numbers m and n, m @ n = (2m – n)(m + n). If m = 3 and n = 4,  [#permalink]

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15 Nov 2018, 04:27
Bunuel wrote:
For all numbers m and n, m?n = (2m – n)(m + n). If m = 3 and n = 4, then n?m =

A. 35
B. 14
C. 7
D. −7
E. −14

It becomes (2n - m)(n + m)

(2*4 - 3) (4 + 3) = (8 - 3) (7) = 5 * 7 = 35

Answrr choice A

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e-GMAT Representative
Joined: 04 Jan 2015
Posts: 3158
For all numbers m and n, m @ n = (2m – n)(m + n). If m = 3 and n = 4,  [#permalink]

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15 Nov 2018, 04:58
GMAT Club Legend
Joined: 12 Sep 2015
Posts: 4125
Re: For all numbers m and n, m @ n = (2m – n)(m + n). If m = 3 and n = 4,  [#permalink]

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06 Apr 2019, 07:56
Top Contributor
Bunuel wrote:
For all numbers m and n, m?n = (2m – n)(m + n). If m = 3 and n = 4, then n?m =

A. 35
B. 14
C. 7
D. −7
E. −14

GOAL: Find the value of 4?3

GIVEN: m?n = (2m - n)(m+ n)
So, 4?3 = (2(4) - 3)(4+ 3)
= (5)(7)
= 35

Cheers,
Brent
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Re: For all numbers m and n, m @ n = (2m – n)(m + n). If m = 3 and n = 4,   [#permalink] 06 Apr 2019, 07:56
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