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01 Apr 2015, 02:38
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C
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
55%
(hard)
Question Stats:
70% (02:43) correct
30%
(03:13)
wrong
based on 420
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A) 6
B) 7
C) 8
D) 9
E) 10
Solution:
My explanation: Since the sum of all row should equal sum of all column we have
3+6+9+0=-2+7+n+5
n=8
3+6+9+0=-2+7+n+5
n=8
09 Jun 2016, 20:04
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Adding all numbers either by columns or rows should give the same number, hence 3+6+9+0 = -2+7+n+5 => n =8
11 Jun 2015, 00:20
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Lucky2783
This is a good question and a prime example of how familiarity can also mess up your mind sometimes! When I looked at this question, it reminded me of a similar tabular official question which had multiple unknowns and one needed to make equations to solve it. So I attacked the question by trying to find equations similar to one which will give me the answer. But GMAT doesn't expect you to do labor intensive boring work. So the given solution is elegant and obviously much better. But anyway, if you are worried that it may not come to you when required, here is the algebra way:
After some searching I found that
X + W + Z + Z = -2 ....(I)
X + W + X + X = n .... (II)
The first equation has 2 Zs while in the second equation we have 2 Xs in its place. So all we need is the relation between X and Z to get n.
X + W + X + Z = 3
X + W + Z + Z = -2
these two equations only differ in one variable - first equation has X instead of Z and the first sum is 5 more than the sum of the second equation. So apparently, X is 5 more than Z.
Since X is 5 more than Z, the sum of (II) would be 2*5 = 10 more than the sum of (I).
So n would be 8.
