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Is 2x a multiple of y ? 2x + 2 is a multiple of y. y is a

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Is 2x a multiple of y ? 2x + 2 is a multiple of y. y is a [#permalink] New post 14 Nov 2009, 20:51
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E

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Is 2x a multiple of y ?
2x + 2 is a multiple of y.
y is a multiple of x.

OA after some discussion...

please explain your solution. multiples in DS with equations ... OMG very scary for me.. I can pick numbers but cant be sure that I am picking right numbers ..
throw in some good amount of light on this...
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Re: is 2s a multiple of y [#permalink] New post 14 Nov 2009, 20:58
Is 2x a multiple of y ?
2x + 2 is a multiple of y. - Insufficient.
If y = 12 and x = 11, the 2x+2 is the multiple of y but 2x itself is not.

y is a multiple of x. - Insufficient
y = 1, x = 1/2, Here y is multiple of x and 2x is a multiple of y.
y = 1, x = 2, Here y is multiple of x but 2x is NOT a multiple of y.

IMO answer is E
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Re: is 2s a multiple of y [#permalink] New post 14 Nov 2009, 21:08
1 is a multiple of every number. Also, 0 (ZERO) is NOT a multiple of any number.
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Re: is 2s a multiple of y [#permalink] New post 14 Nov 2009, 21:16
hgp2k wrote:
1 is a multiple of every number. Also, 0 (ZERO) is NOT a multiple of any number.


sorry, i dont have this still in my head clearly.. so if anyone asks what are the multiples of 2

is the list 1,2,4,6,8,10,12 ... correct ?
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Re: is 2s a multiple of y [#permalink] New post 14 Nov 2009, 23:10
srini123 wrote:
hgp2k wrote:
1 is a multiple of every number. Also, 0 (ZERO) is NOT a multiple of any number.


sorry, i dont have this still in my head clearly.. so if anyone asks what are the multiples of 2

is the list 1,2,4,6,8,10,12 ... correct ?


Ok, looks like I completely messed up. My apologies....
It should be: y = 6, x = 2, Here y is multiple of x but 2x is NOT a multiple of y.
So the answer is E.

Sorry once again...
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Re: is 2s a multiple of y [#permalink] New post 15 Nov 2009, 02:30
Is 2x a multiple of y ?

The way I interpreted the statement is that it is asking if:
2*x=y*z ?
(if z is any integer)

Statement 1:

2x + 2 is a multiple of y.
OR
(2x+2)=y*w
(if w is any integer)

EX:
if x=2, y=3, then 2*2+2 = 3*2
2*2=3*z (NOT POSSIBLE)
BUT
if x=3, y=2, then 2*3+2 = 2*4
2*3=2*3 (POSSIBLE)

Statement 1 is INSUFFICIENT

Statement 2:

y is a multiple of x.
OR
y=x*v
(if v is any integer)

EX:
if x=6, y=2, then 6 = 2*3
2*2=6*z (NOT POSSIBLE)
BUT
if x=2, y=4, then 4 = 2*2
2*2=4*1 (POSSIBLE)

Statement 2 is INSUFFICIENT

Taken together, they statements are still insufficient.

ANSWER: E.
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Re: is 2s a multiple of y [#permalink] New post 15 Nov 2009, 08:28
Thanks guys, how do we know the two statements taken together are not sufficient ?
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Re: is 2s a multiple of y   [#permalink] 15 Nov 2009, 08:28
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