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Source: — Data Sufficiency |
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by raghavsarathy » Fri Jul 24, 2009 9:43 am
IMO - B

Statement 1

Take x= 11 , y=6
x> y+4

However it does not satisfy x> (7/3)y
Take x= 1000 , y=1
x> y+4 And the condition x> (7/3)y is satisfied

Hence statement 1 is not sufficient

Statement 2

-5x < -14y

Mutiplying both sides by -1 , the sign of the eqn also changes
we get 5x > 14y
x> (14/5)y
Hence x> (7/3)y , the main condition is satisfied.

Hence B
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by gmat740 » Fri Jul 24, 2009 6:32 pm
Yes I did the same thing and my answer was B but the OA is C

I do doubt the OA. I would wait for some more explanations.
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by mehravikas » Fri Jul 24, 2009 6:51 pm
Answer should be - B

Statement 1 -

x = 10, y = 4

10 > 5 + 4 but 10 < 2.33 * 5

x = 6, y = 1

6 > 1 + 4 and 6 > 2.33 * 1

Insufficient

Statement 2 -

-5x < - 14y = multiply by -1
5x > 14y -> x > 14/5 * y

x > 2.8y therefore x will always be greater than 2.33 y
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by gmat740 » Fri Jul 24, 2009 7:25 pm
Thanks that helps.

This means the OA must have ben wrong.
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by tom4lax » Sat Jul 25, 2009 6:13 pm
I also got B.
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by gmat740 » Sat Jul 25, 2009 6:16 pm
Thanks Guys.
I feel that the OA was wrong.It has to be B
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by Ian Stewart » Sun Jul 26, 2009 6:58 am
Looking only at S2, we have:

-5x < -14y
5x > 14y
3x > (3/5)*14y
3x > 8.4y

So we know that 3x > 8.4y, and we want to know if 3x > 7y. If y is positive, the answer is certainly 'yes', because then 8.4y > 7y. However, if y is negative, 8.4y is less than 7y. We might have:

y = -1
x = -2.5

Then 3x = -7.5 is certainly greater than 8.4y = -8.4, but 3x is not greater than 7y = -7. Statement 2 is not sufficient.
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by raghavsarathy » Sun Jul 26, 2009 8:29 am
Ian Stewart wrote:Looking only at S2, we have:

-5x < -14y
5x > 14y
3x > (3/5)*14y
3x > 8.4y

So we know that 3x > 8.4y, and we want to know if 3x > 7y. If y is positive, the answer is certainly 'yes', because then 8.4y > 7y. However, if y is negative, 8.4y is less than 7y. We might have:

y = -1
x = -2.5

Then 3x = -7.5 is certainly greater than 8.4y = -8.4, but 3x is not greater than 7y = -7. Statement 2 is not sufficient.
Hi Ian. The main statement says that x and y are positive. In such a situation the ans would be B right ?
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by Ian Stewart » Sun Jul 26, 2009 9:08 am
raghavsarathy wrote:
Hi Ian. The main statement says that x and y are positive. In such a situation the ans would be B right ?
Good point! When I was writing up my answer, I think I was remembering a different question that didn't have that restriction. Yes, since:

8.4 > 7

then if y is positive, we can multiply on both sides by y without reversing the inequality to get:

8.4y > 7y

so if x > 8.4y, then x certainly must be greater than 7y. So to clarify my post above, if x and y are positive, S2 is certainly sufficient. If you remove that condition from the question, then S2 is not sufficient.
For online GMAT math tutoring, or to buy my higher-level Quant books and problem sets, contact me at ianstewartgmat at gmail.com

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