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If m and v are integers, what is the value of m + v? (1) mv

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Manager
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Joined: 03 Oct 2008
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If m and v are integers, what is the value of m + v? (1) mv [#permalink]

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New post 07 Oct 2008, 09:08
This topic is locked. If you want to discuss this question please re-post it in the respective forum.

If m and v are integers, what is the value of m + v?
(1) mv = 6
(2) (m + v)^2 = 25

A. Statement (1) ALONE is sufficient, but statement (2) alone is not sufficient.
B. Statement (2) ALONE is sufficient, but statement (1) alone is not sufficient.
C. BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient.
D. EACH statement ALONE is sufficient.
E. Statements (1) and (2) TOGETHER are NOT sufficient.

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Re: math [#permalink]

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New post 07 Oct 2008, 09:29
the answer is E

statement 1: MV=6 is not sufficient to answer
statement 2: (m+v)^2=25 is also not sufficient as M+V=+5 or-5

putting both the statement together will give M^2+V^2+ 2mv=25
solving this will give M^2+v^2=13


hence both statements are not sufficient

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Re: math [#permalink]

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New post 07 Oct 2008, 09:35
[quote="albany09"]If m and v are integers, what is the value of m + v?
(1) mv = 6
(2) (m + v)^2 = 25

mv = 6 , m and v possible pairs are (6,1)(1,6), (-6,-1) (-1,-6),(-3,-2),(-2,-3) (3,2)(2,3).......insuff

from 2

m+v = 5 or -5...insuff

both

still m+v can be either 5 or -5

E

Kudos [?]: 418 [0], given: 49

Re: math   [#permalink] 07 Oct 2008, 09:35
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If m and v are integers, what is the value of m + v? (1) mv

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