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

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

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04 Feb 2008, 23:42
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57% (01:08) correct 43% (01:18) wrong based on 164 sessions

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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

OPEN DISCUSSION OF THIS QUESTION IS HERE: each-of-the-letters-in-the-table-above-represents-one-of-the-143777.html
[Reveal] Spoiler: OA

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Last edited by Bunuel on 17 Jun 2015, 02:45, edited 1 time in total.
Renamed the topic, edited the question, added the OA and moved to DS forum.

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

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04 Feb 2008, 23:55
r s t
u v w
x y z

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

From the stmt 1 we have V and Z in different columns and V+Z =6 so V=Z=3 thus s,t cannot be 3 and thus r=3
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Re: Each of the letters in the table above represents one of the numbers [#permalink]

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05 Feb 2008, 07:56
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suntaurian wrote:
r s t
u v w
x y z

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

1: sufficient r = 3 because 3 has to be in row 1 and column 1.
2: sufficient r = 3 because r + s + t = 6, r + u + x = 6 -> 2*r = 12-6 = 6 -> r = 3

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

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05 Feb 2008, 08:38
maratikus wrote:
suntaurian wrote:
r s t
u v w
x y z

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

1: sufficient r = 3 because 3 has to be in row 1 and column 1.
2: sufficient r = 3 because r + s + t = 6, r + u + x = 6 -> 2*r = 12-6 = 6 -> r = 3

should be D.

nice question.
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Re: Each of the letters in the table above represents one of the numbers [#permalink]

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05 Feb 2008, 10:14
OA is D.

I had gotten it right, but thougt it is a good one to share...
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Re: Each of the letters in the table above represents one of the numbers [#permalink]

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16 Jun 2015, 23:23
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Re: Each of the letters in the table above represents one of the numbers [#permalink]

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17 Jun 2015, 02:48
Expert's post
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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.

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.

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.

OPEN DISCUSSION OF THIS QUESTION IS HERE: each-of-the-letters-in-the-table-above-represents-one-of-the-143777.html
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Re: Each of the letters in the table above represents one of the numbers   [#permalink] 17 Jun 2015, 02:48
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