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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: 55631
In the diagram above each of the letters represents an odd single-digi  [#permalink]

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10 Apr 2017, 02:29
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Difficulty:

95% (hard)

Question Stats:

31% (02:21) correct 69% (02:12) wrong based on 137 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 12.
(2) The smallest integer that has x and z as its factors is also multiple of 15.

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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, 21:47
1
Digits: 3, 5 and 7

St1: w + z = 12 --> Clearly insufficient

St2: LCM(x, z) = 15 --> x and z is either 3 or 5 and w = 7
Sufficient

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

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30 Nov 2018, 08:29
Question in b) I cannot have w=1 as a odd prime?
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Re: In the diagram above each of the letters represents an odd single-digi  [#permalink]

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06 Dec 2018, 12:09
manoela wrote:
Question in b) I cannot have w=1 as a odd prime?

By definition a prime number is divisible only by itself and "1".
This does not apply to "1",so 1 is not considered a prime number.
Re: In the diagram above each of the letters represents an odd single-digi   [#permalink] 06 Dec 2018, 12:09
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