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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
1) Only 1 cell in each column has a negative value
2) Only 1 cell in each row has a negative value
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16 Jan 2007, 11:42
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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
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
16 Jan 2007, 11:47
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Bookmarks
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.
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.
