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# In the diagram above each of the letters represents an odd single-digi

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Math Expert
Joined: 02 Sep 2009
Posts: 58453
In the diagram above each of the letters represents an odd single-digi  [#permalink]

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10 Apr 2017, 02:18
00:00

Difficulty:

85% (hard)

Question Stats:

46% (02:07) correct 54% (02:22) wrong based on 74 sessions

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In the diagram above each of the letters represents an odd single-digit prime. If each row and each column must be filled with distinct digits, what is the value of w?

(1) The sum of w and z is a multiple of 4.
(2) The sum of x and z is a multiple of 10.

Attachment:

image001.gif [ 625 Bytes | Viewed 803 times ]

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Marshall & McDonough Moderator
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Re: In the diagram above each of the letters represents an odd single-digi  [#permalink]

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10 Apr 2017, 20:51
Possible digits = 3, 7, 9.

St1: w + z = 8
w = 5 and z = 3 or w = 3 and z = 5.
Not Sufficient

St2: x + z = 10 -->
x and z can take either 3 or 7 but w will always be equal to 5
Sufficient

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Re: In the diagram above each of the letters represents an odd single-digi  [#permalink]

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11 Apr 2017, 11:46
Bunuel wrote:

In the diagram above each of the letters represents an odd single-digit prime. If each row and each column must be filled with distinct digits, what is the value of w?

(1) The sum of w and z is a multiple of 4.
(2) The sum of x and z is a multiple of 10.

Attachment:
image001.gif

From the question we get odd single digit prime numbers as : 3, 5, 7

1) None of the above numbers can give a multiple of four...so Insuff.
2) sum of X & z implies x = 3, z = 7..or other way round...so w =3..answer B
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Re: In the diagram above each of the letters represents an odd single-digi  [#permalink]

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11 Oct 2018, 09:11
Hello from the GMAT Club BumpBot!

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Re: In the diagram above each of the letters represents an odd single-digi   [#permalink] 11 Oct 2018, 09:11
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