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Each of the letters in the table above represents one of the

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Each of the letters in the table above represents one of the [#permalink] New post 07 Dec 2012, 09:08
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57% (02:20) correct 43% (01:16) wrong based on 304 sessions
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Table.png [ 6.87 KiB | Viewed 3182 times ]
Each of the letters in the table above represents one of the numbers 1, 2, or 3, and each of these numbers occurs exactly once in each row and exactly once in each column. What is the value of r?

(1) v + z = 6
(2) s + t + u + x = 6
[Reveal] Spoiler: OA
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Re: Each of the letters in the table above represents one of the [#permalink] New post 07 Dec 2012, 09:21
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Each of the letters in the table above represents one of the numbers 1, 2, or 3, and each of these numbers occurs exactly once in each row and exactly once in each column. What is the value of r?

(1) v + z = 6.
Attachment:
Table1.png
Table1.png [ 6.91 KiB | Viewed 3017 times ]
Since v and z are 1, 2, or 3, then v=z=3. So, we have 3 in the second and third columns, which mean that neither s nor t can be 3, which means that r must be 3. Sufficient.

(2) s + t + u + x = 6.
Attachment:
Table2.png
Table2.png [ 7.02 KiB | Viewed 3018 times ]
We can have two combinations of the numbers to satisfy s + t + u + x = 6:

1+1+1+3=6 OR 1+1+2+2=6. The first case is not possible since in this case three letters out of s, t, u and x would be 1, which would mean that either in the first row or in the first column we have the same number 1.

So, we have 1+1+2+2=6 case, which means that r must be 3 (since no other number in the first column or the first row is 3). Sufficient.

Answer: D.
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Re: Each of the letters in the table above represents one of the [#permalink] New post 11 Jan 2013, 20:05
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For the seconds statement, I thought of it like this

r + u + x = 6
r + s + t = 6

2r + u + x + s + t = 12
2r+6=12 (Since, s+t+u+x=6)
2r=6
r=3
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Re: Each of the letters in the table above represents one of the [#permalink] New post 18 Jun 2013, 00:40
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Re: Each of the letters in the table above represents one of the [#permalink] New post 18 Jun 2013, 01:34
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Walkabout wrote:
Attachment:
Table.png
Each of the letters in the table above represents one of the numbers 1, 2, or 3, and each of these numbers occurs exactly once in each row and exactly once in each column. What is the value of r?

(1) v + z = 6
(2) s + t + u + x = 6



For St 1, we are given that v+z=6...since possible nos are only 1,2 and 3, we can conclude that v=z=3. Since v and z are in row 2 and row 3 then number 3 in row 1 has to be at position of r -----> r= 3.
Cancelling option B, C and E

From st 2, we have s+t+u+x= 6 and 2r+s+u+t+x= 12....solving for r we get r--->3

Hence ans should be D
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Re: Each of the letters in the table above represents one of the [#permalink] New post 09 Aug 2014, 16:19
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Re: Each of the letters in the table above represents one of the   [#permalink] 09 Aug 2014, 16:19
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