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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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A

B

C

D

E

Difficulty:

45% (medium)

Question Stats:

61% (02:09) correct
39% (01:22) wrong based on 91 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?

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

Answer is A

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 _________________

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

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

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.

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