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If K is a multiple of 29, is KY a multiple of 174?

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If K is a multiple of 29, is KY a multiple of 174?

by leonswati » Tue Oct 11, 2011 7:16 am
If K is a multiple of 29, is KY a multiple of 174?
(1) Y has all the same factors as 27.
(2) K is divisible by 2 without a remainder.

The answer is C .

I understood the way it is been explained also... https://www.beatthegmat.com/factors-t49143.html

However I have a small doubt...

for ky to be a multiple of 29 y has to be 6 that is 2 and 3.

Statement 1 tells us that y has all the factors as 27 meaning y has to be 1 0r 3 or 9 0r 27 . We clearly know that y cannot be 6 therefore is statement 1 alone is not sufficient..?
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by Geva@EconomistGMAT » Tue Oct 11, 2011 7:19 am
leonswati wrote:If K is a multiple of 29, is KY a multiple of 174?
(1) Y has all the same factors as 27.
(2) K is divisible by 2 without a remainder.

The answer is C .

I understood the way it is been explained also... https://www.beatthegmat.com/factors-t49143.html

However I have a small doubt...

for ky to be a multiple of 29 y has to be 6 that is 2 and 3.

Statement 1 tells us that y has all the factors as 27 meaning y has to be 1 0r 3 or 9 0r 27 . We clearly know that y cannot be 6 therefore is statement 1 alone is not sufficient..?
the phrasing is that way exactly for that reason. y has all the factors of 27 - not y has ONLY the factors of 27. Leaves stat. (1) open for y to equal, for example, 54, which has all the factors of 27 (and then some).
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by gmatclubmember » Tue Oct 11, 2011 9:33 am
Geva@MasterGMAT wrote:
leonswati wrote:If K is a multiple of 29, is KY a multiple of 174?
(1) Y has all the same factors as 27.
(2) K is divisible by 2 without a remainder.

The answer is C .

I understood the way it is been explained also... https://www.beatthegmat.com/factors-t49143.html

However I have a small doubt...

for ky to be a multiple of 29 y has to be 6 that is 2 and 3.

Statement 1 tells us that y has all the factors as 27 meaning y has to be 1 0r 3 or 9 0r 27 . We clearly know that y cannot be 6 therefore is statement 1 alone is not sufficient..?
the phrasing is that way exactly for that reason. y has all the factors of 27 - not y has ONLY the factors of 27. Leaves stat. (1) open for y to equal, for example, 54, which has all the factors of 27 (and then some).
In addition to what Geva said, since K is a multiple of 29 and so it too can be 58 or 116 in which case KY will be a multiple of 174. :)
a lil' Thank note goes a long way :)!!
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