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# If x is equal to either 2/3 or 3/8 and y is equal to either

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SVP
Joined: 29 Aug 2007
Posts: 2467
If x is equal to either 2/3 or 3/8 and y is equal to either [#permalink]

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09 Jan 2009, 15:01
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If x is equal to either 2/3 or 3/8 and y is equal to either x/2 or x/3, what is the value of y?

1) x-y = y
2) x+y = 1
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Manager
Joined: 04 Jan 2009
Posts: 237

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09 Jan 2009, 16:39
x=2/3 or 3/8
y=x/2 or x/3=1/3 or 1/8
from (1): y=x/2 not sufficient
from (2): y=1-x=1/3 or y=1-1/8=5/8; but if x=2y then x=5/4 which is not true per question stem.
Therefore, (2) is sufficient.
Hence, B.
GMAT TIGER wrote:
If x is equal to either 2/3 or 3/8 and y is equal to either x/2 or x/3, what is the value of y?

1) x-y = y
2) x+y = 1

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tusharvk

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Joined: 28 Jul 2004
Posts: 135
Location: Melbourne
Schools: Yale SOM, Tuck, Ross, IESE, HEC, Johnson, Booth

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09 Jan 2009, 22:37
x = 2/3 or 3/8

for each of the above values, Y will have 2 values.

When x=2/3, y=1/3 or y=2/9
When x=3/8, y=3/16 or y=1/8

From (1), x =2y. For this we have two set of values.

x,y = [2/3, 1/3] or x,y = [3/8, 3/16] , hence (1) is not sufficient

From (2), x+y=1

Now x,y = [2/3, 1/3] is the only possible solution.

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kris

Re: DS: X &Y   [#permalink] 09 Jan 2009, 22:37
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