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If M and N are integers, what is the value of M + N? (1) (M)(N) = 10

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Manager
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Joined: 15 Dec 2015
Posts: 114
GMAT 1: 680 Q49 V34
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If M and N are integers, what is the value of M + N? (1) (M)(N) = 10  [#permalink]

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New post 12 Aug 2017, 02:27
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A
B
C
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E

Difficulty:

  55% (hard)

Question Stats:

49% (01:11) correct 51% (01:19) wrong based on 84 sessions

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If M and N are integers, what is the value of M + N?

(1) MN = 10
(2) \(M^2+N^2=29\)
Director
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Re: If M and N are integers, what is the value of M + N? (1) (M)(N) = 10  [#permalink]

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New post 12 Aug 2017, 02:54
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Top Contributor
DH99 wrote:
If M and N are integers, what is the value of M + N?

(1) MN = 10
(2) \(M^2+N^2=29\)


(1)
    If M=5 and N=2 ,then MN=10 and M+N=7
    if M=10 and N-=1,then MN=10 ,but M+N=11.. Not Sufficient

(2)
    If M=5 and N=2 ,then \(M^2+N^2=29\) and M+N=7

    if M=-5 and N=-2 then \(M^2+N^2=29\) ,but M+N=-7..Not Sufficient

Together,
    If M=5 and N=2,then MN=10 and \(M^2+N^2=29\).Hence ,M+N=7

    If M=-5 and N=-2,then MN=10 and \(M^2+N^2=29\).But M+N=-7...Not Sufficient

Therefore the Correct Answer is E
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Re: If M and N are integers, what is the value of M + N? (1) (M)(N) = 10  [#permalink]

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New post 12 Aug 2017, 02:59
AbdurRakib: Good Explanation +1 kudos
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Re: If M and N are integers, what is the value of M + N? (1) (M)(N) = 10  [#permalink]

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New post 05 Apr 2019, 06:10
Hello from the GMAT Club BumpBot!

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Re: If M and N are integers, what is the value of M + N? (1) (M)(N) = 10   [#permalink] 05 Apr 2019, 06:10
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