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Q8. A 5x5 table is given. If each cell of the table is to be

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Q8. A 5x5 table is given. If each cell of the table is to be [#permalink] New post 16 Jan 2007, 08:38
Q8. A 5x5 table is given. If each cell of the table is to be filled with one of the three values: (0, 1, -1), is the sum of the values in cells positive?
1) Only 1 cell in each column has a negative value
2) Only 1 cell in each row has a negative value

Last edited by withme on 16 Jan 2007, 13:08, edited 1 time in total.
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 [#permalink] New post 16 Jan 2007, 10:42
For me (E) :)

Stat 1

We could have:

case 1:
-1,-1,-1,-1,-1
0, 0, 0, 0, 0
0, 0, 0, 0, 0
0, 0, 0, 0, 0
0, 0, 0, 0, 0

So, Sum = -5 < 0

case 2:
-1,-1,-1,-1,-1
1, 1, 1, 1, 1
0, 0, 0, 0, 0
0, 0, 0, 0, 0
0, 0, 0, 0, 1

So, Sum = 1 > 0

INSUFF

Stat 2

We could have:

case 1:
-1, 0, 0, 0, 0
-1, 0, 0, 0, 0
-1, 0, 0, 0, 0
-1, 0, 0, 0, 0
-1, 0, 0, 0, 0

So, Sum = -5 < 0

case 2:
-1, 1, 0, 0, 1
-1, 1, 0, 0, 0
-1, 1, 0, 0, 0
-1, 1, 0, 0, 0
-1, 1, 0, 0, 0

So, Sum = 1 > 0

INSUFF

Both (1) and (2)
We cannot conclude as well. It depends to the other 16 cells' values that could be either 0 or 1.

case 1:
-1, 0, 0, 0, 0
0, -1, 0, 0, 0
0, 0, -1, 0, 0
0, 0, 0, -1, 0
0, 0, 0, 0, -1

So, Sum = -5 < 0

case 2:
-1, 1, 1, 1, 1
0, -1, 0, 0, 0
0, 0, -1, 0, 0
1, 0, 0, -1, 0
1, 0, 0, 0, -1

So, Sum = 1 > 0

INSUFF
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 [#permalink] New post 16 Jan 2007, 10:47
A 5x5 table is given. If each cell of the table is to be filled with one of the three values: (0, 1, -1), is the sum of the values in cells positive?
1) Only 1 cell in each column has a negative value
2) Only 1 cell in each row has a negative value


Is E the best Answer?

Put -1 across the diagonal of the 5X5 Matrix
According to the information a zero and a +1 has to be added to the remaining cells

-1 +1 +1 0 -1 = 0
+1 -1 +1 +1 +0 = 2
-1 -1 -1 +1 +0 = -2
-1 -1 0 -1 0 = -3
0 0 +1 +1 -1 = 1

From the first 3 rows we have found out that the answer is NO. BCE

2nd Statement can go by the same Matrix on top. and you get multiple values. Not Sufficient. CE.

By combining the 2 statements you get again the same set of values. Not Sufficient. Therefore E is the best answer.

Not sure if this is right or wrong.
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 [#permalink] New post 16 Jan 2007, 11:03
E. just not enough info as any of three values can fill remaining cells. if filled with 0, then negative else filled with 1 then +ive. so cant determine!
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 [#permalink] New post 16 Jan 2007, 13:07
Thanks Guys. OA is E
  [#permalink] 16 Jan 2007, 13:07
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