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In the diagram above each of the letters represents one of the digits

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In the diagram above each of the letters represents one of the digits  [#permalink]

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New post 10 Apr 2017, 02:27
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In the diagram above each of the letters represents one of the digits between 5 and 9, not inclusive. If each row and each column must be filled with distinct digits, what is the value of w?

(1) b + m = 15
(2) a + c = 13

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Re: In the diagram above each of the letters represents one of the digits  [#permalink]

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New post 12 Apr 2017, 08:53
2
lets try this one...

stat 1: b+m = 15
b= 8 and m= 7 or
b=7 and n =8

in either case value of w = 6..suff

stat 2 : w can be 7 or 8,,not suff

ans A
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Re: In the diagram above each of the letters represents one of the digits  [#permalink]

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New post 01 Jun 2017, 04:34
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Where can I find the official solution to this? I am looking for a detailed approach to these questions.
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Re: In the diagram above each of the letters represents one of the digits  [#permalink]

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New post 22 Aug 2017, 18:10
perhaps, not so many people like and do these questions. It really surprises me that only 31% of people make it right.
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Re: In the diagram above each of the letters represents one of the digits  [#permalink]

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New post 24 Aug 2017, 07:29
I may have the answer to this:
From question: the numbers can only be 6, 7, or 8 and each letter is a distinct number
Statement 1:
b + m = 15

So b and m can be 7 or 8, can not be 6.
Look at the figure, if we know the value of b then a ,x, c, l (all the number next to it) can't have that value. Also, iof we know m, we know what k, l, c, z can't be.
So if b and m can be either 7 or 8, then c and l can be either 7 or 8, and only can be 6.

And if c = l = 6, a and k can't be 6, therefore w must be 6.

Statement 2: We can only conclude that b is 8, nothing more. W can be either 6, 7, or 8.

Took me a lot more than 2 minutes to solve.
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Re: In the diagram above each of the letters represents one of the digits  [#permalink]

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New post 30 Sep 2017, 03:22
Bunuel wrote:
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In the diagram above each of the letters represents one of the digits between 5 and 9, not inclusive. If each row and each column must be filled with distinct digits, what is the value of w?

(1) b + m = 15
(2) a + c = 13


Hi Bunuel,

I solved it by putting values in the different blocks, but it took me long time.

Do you have a simple mathematical solution?
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Re: In the diagram above each of the letters represents one of the digits  [#permalink]

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New post 30 Sep 2017, 03:57
Bunuel wrote:
Image

In the diagram above each of the letters represents one of the digits between 5 and 9, not inclusive. If each row and each column must be filled with distinct digits, what is the value of w?

(1) b + m = 15
(2) a + c = 13


Hi..
In these Q, the diagonals are two- one will have same digit and other will have all three different...
So..
wxz
abc
klm

Let's see the statements
1) b+m=15
So b and m are equal to 7 and 8 or 8 and 7..
So the diagonal wbm is having different digits or w is 6..
Solution otherwise..
l in third row and c in 2nd row cannot be 7or8 as they have both b and m in their rows, so c and I are 6.
Therefore k in 3rd row is equal to b.
Also a in 2nd row is equal to m.
First column is w+a+k=w+b+m=w+15=6+7+8, so w is 6
Sufficient


2) a+c is 13
So b is 8, but from this we cannot say which diagonal has different and which has same digits.
we can be anything 6 or 7 or 8
876
687
768

678
786
867

768
687
876

w can be 6 or 7 or 8

Insufficient

A
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Re: In the diagram above each of the letters represents one of the digits &nbs [#permalink] 30 Sep 2017, 03:57
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