If x = 5 y, is x 0?

Question

If x = 5 – y, is x > 0?

(1) x > 5 + y.
(2) y < 0.

zaur2010 · Answer

given: x=5-y. Is x>0
st(1) 5-y>5+y, y<0. Since we don't know how much y is less than 0 - we cannot deduce about x +ve Or -ve from x>5+y. Not Sufficient.
st(2) y<0 and y=5-x ---> 5-x<0 OR x>5 Hence x>0 Sufficient

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banksy

286. If x = 5 – y, is x > 0?
(1) x > 5 + y.
(2) y < 0.

Bunuel · Answer

If x = 5 – y, is x > 0? Given: y = 5 - x. (1) x > 5 + y --> x > 5 + (5 - x) --> x > 5. Sufficient. (2) y < 0 --> 5 - x < 0 --> x > 5. Sufficient. Answer: D.

dreambeliever · Answer

x= 5-Y and x>5+y this implies.. y= -ve and x= +ve

x=5-y and y = -ve implies that x=+ve

ans d

zaur2010 · Answer

please explain statement (1) per condition given it's also y<0 and y can be -100 for example; by plugging x=5-y into x>5+y, we get 5-y>5+y and y<0. So if y=-100, x can be -90 as -90>5+(-100). How it comes this is Sufficient?

Bunuel · Answer

Yes, you can substitute x in x>5+y to get: 5-y>5+y --> y<0 (though it's better to substitute y , not x , because it gives the answer right away as shown in the solution). Now, as y<0 we have that x=5-negative=5+positive=positive , for example: x=5-(-100)=5+100=105 . Hope it's clear.

zaur2010 · Answer

fair enough x>0, thanks

subhashghosh · Answer

From (1) we have :

x > 5 + 5 - x => x > 5 so sufficient

From (2) we have :

y < 0, so x = 5 - ( a negative number) will be always positive. Hence sufficient.

So the answer is D.

Spidy001 · Answer

1) Sufficient
 x> 5+y => x>5+5-x 
 => 2x>10 => x>5 = x>0

2) Sufficient
 x = 5- y
 given y <0, so no matter what the value of y is x = 5 - (-ve number)= 5+postive number >0

Answer is D.

Bunuel · Answer

Bumping for review and further discussion.

stonecold · Answer

Nice Question...
Classical equality inequality relation..
Here Statement is sufficient as X>5+y and Y=5-x => x>5 =>Sufficient
Statement 2 is sufficient for the same reason 
Hence D

CrackverbalGMAT · Answer

In this question, we are to find out if x>0. Since x = 5-y, the question becomes “Is 5-y>0?” which can be simplified to “Is 5>y?” or “Is y<5?”.

So, the question we are trying to answer is “Is y<5?”.

From statement I alone, x>5+y. Substituting the value of x, we have 5-y > 5+y which gives us 2y<0 on simplification. Since 2 is a positive value, the only way in which 2y is less than ZERO is if y<0. So, from statement I alone, y<0. This essentially means y<5 as well.

Statement I is sufficient to answer the question. Answer options B, C and E can be eliminated. Possible answer options are A or D.

From statement II alone, y<0. Clearly, if y<0, y has to be less than 5. Statement II alone is sufficient.
Answer option A can be eliminated. The correct answer option is D.

Use the question data and the question stem to rephrase the question asked, to a simpler question. The rephrased question will tell you what to look for in the statements.

Here are a few Quant resources for your reference:

8 Solid Ways To Get A 50-51 Raw Score In GMAT Quant

The Ultimate Guide to GMAT Inequalities

Hope that helps!

If x = 5 y, is x > 0?

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