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# If K is a multiple of 29, is K∙Y a multiple of 174?

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If K is a multiple of 29, is K∙Y a multiple of 174? [#permalink]

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29 Jan 2014, 05:05
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Difficulty:

55% (hard)

Question Stats:

54% (02:33) correct 46% (02:13) wrong based on 56 sessions

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If K is a multiple of 29, is K∙Y a multiple of 174?

(1) Y is a multiple of 27.

(2) K is divisible by 2 without a remainder.
[Reveal] Spoiler: OA

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Re: If K is a multiple of 29, is K∙Y a multiple of 174? [#permalink]

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29 Jan 2014, 05:44
If K is a multiple of 29, is K∙Y a multiple of 174?

Is ky a multiple of 174 = 2*3*29? We know that k is a multiple of 29, hence in order ky to be a multiple of 2*3*29, we need any of them to contain 2 and 3.

(1) Y is a multiple of 27 --> y is a multiple of 3. We need 2. Not sufficient.

(2) K is divisible by 2 without a remainder --> k is a multiple of 2 (even). We need 3. Not sufficient.

(1)+(2) Sufficient.

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Re: If K is a multiple of 29, is K∙Y a multiple of 174? [#permalink]

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01 Feb 2014, 04:16
Ouch. I read it as K-Y. where as it is K*Y.
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Re: If K is a multiple of 29, is K∙Y a multiple of 174?   [#permalink] 01 Feb 2014, 04:16
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