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NEW GMATPrep CAT question

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NEW GMATPrep CAT question

by myfish » Fri May 11, 2012 1:58 pm
Are x and y both positive?

(1) 2x-2y=1
(2) x/y > 1
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by mathbyvemuri » Fri May 11, 2012 7:43 pm
statement(1):
x-y=1/2
Any combinations of (+,+),(+,-),(-,+),(-,-) are possible for x and y.
=> alone is not sufficient


statement(2):
x>y if y is positive else x<y
=> either both x and y are positive or both re negative
=> alone is not sufficient

statements taken together:
won't be sufficient as not resulting in a unique solution.
Answer "E"
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by Mohitbhatia880 » Sun May 13, 2012 7:18 am
I agree (1) or (2) are INSUFFICIENT. but consider both of them together

(1) 2x-2y = 1
(2) x/y >1

Rephrasing (1)

x-y = 1/2
x = y + 1/2

Now substituting value of x in (2)

(y+1/2)/y >1

Solving:

1+ 1/2y > 1

so, 1/2y > 0 it means y >0 since x = y+1/2 s0 X >0 as well.

Hope it helps
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by GmatKiss » Mon May 14, 2012 3:46 am
IMO: E
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by mathbyvemuri » Mon May 14, 2012 4:05 am
I agree with Mohitbhatia880's answer option "C". There is a flaw in my earlier explanation. We should not compare the ranges of statements (1) and (2), as I did in my earlier reply.If both the statements are considered, try to solve both the equations and get to a conclusion if possible. The ranges can't be compared but only the values from the two statements can be compared.
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by GMATGuruNY » Mon May 14, 2012 4:30 am
I posted an explanation here:

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