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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
Joined: 15 Dec 2015
Posts: 114
GMAT 1: 680 Q49 V34
GPA: 4
WE: Information Technology (Computer Software)
If M and N are integers, what is the value of M + N? (1) (M)(N) = 10  [#permalink]

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12 Aug 2017, 02:27
1
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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
Status: I don't stop when I'm Tired,I stop when I'm done
Joined: 11 May 2014
Posts: 522
GPA: 2.81
WE: Business Development (Real Estate)
Re: If M and N are integers, what is the value of M + N? (1) (M)(N) = 10  [#permalink]

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12 Aug 2017, 02:54
4
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
Manager
Joined: 15 Dec 2015
Posts: 114
GMAT 1: 680 Q49 V34
GPA: 4
WE: Information Technology (Computer Software)
Re: If M and N are integers, what is the value of M + N? (1) (M)(N) = 10  [#permalink]

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12 Aug 2017, 02:59
AbdurRakib: Good Explanation +1 kudos
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Joined: 09 Sep 2013
Posts: 13736
Re: If M and N are integers, what is the value of M + N? (1) (M)(N) = 10  [#permalink]

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

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