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]

07 Dec 2012, 10:08

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48% (02:24) correct

51% (00:57) wrong

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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
(2) s + t + u + x = 6

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Re: Each of the letters in the table above represents one of the [#permalink]

07 Dec 2012, 10:21

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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.

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Table2.png [ 7.02 KiB | Viewed 844 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]

11 Jan 2013, 21:05

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] 11 Jan 2013, 21:05

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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

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

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