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playing rounds of a game

Expert replies
by sanju09 » Tue Mar 27, 2012 1:25 am
A, B, C, and D are playing rounds of a game. Each round carries a total of 26 points to be distributed among the four. All scored points are non negative integers. If D is on the top with 32 points and C is in the bottom with 3 points, soon after the finish of first two rounds of the game, then how many points did A score in the first round of the game?
I. B and C each scored zero in the first round of the game.
II. A scored zero in the second round of the game.



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Source: — Data Sufficiency |

by sam2304 » Tue Mar 27, 2012 2:03 am
Is it E ?

Given D and C each scored 32 and 3 points after the second round. Total points involved is 52. So remaining points are 17 shared by A and B in both rounds. We still don't which is more among A and B.

I. B and C each scored zero in the first round of the game. No info about which is greater A or B.
II. A scored zero in the second round of the game. => No info about which is greater A or B.
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by sanju09 » Tue Mar 27, 2012 3:03 am
sam2304 wrote:Is it E ?

Given D and C each scored 32 and 3 points after the second round. Total points involved is 52. So remaining points are 17 shared by A and B in both rounds. We still don't which is more among A and B.

I. B and C each scored zero in the first round of the game. No info about which is greater A or B.
II. A scored zero in the second round of the game. => No info about which is greater A or B.
No info about which is greater A or B.

How could this info be helpful in answering the question?
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by sam2304 » Tue Mar 27, 2012 4:09 am
sanju09 wrote: How could this info be helpful in answering the question?
That won't be helpful either. My bad I thought of 4 and 13 to be the only values A and B though i included all while framing the table :?. We need any one value of A, B or D to find A.
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by ubhanja » Wed Mar 28, 2012 11:03 am
D - 32
C - 0 , 3
B - 0, X
A - Y, 0

X+Y = 17

X AND Y CAN BE ANY INTEGER

Ans ) E
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