Is |x| |y|?

Question

Is |x| > |y|?

(1) x - y > 0
(2) y > 0

Bunuel · Answer

Is |x| > |y|?

The question basically asks whether x is further from 0 than y.

(1) x - y > 0 --> x > y. Well, this is clearly insufficient to answer the question: if x = 1 and y = 0, then the aswer is YES but if x = 1 and y = -2, then the answer is NO. Not sufficient.

(2) y > 0. Also insufficient as we have no info about x.

(1)+(y) Since x > y and y > 0, then x > y > 0. This implies that x must be further from 0 than y. Sufficient.

Answer: C.

P.S. Please read carefully and follow: rules-for-posting-please-read-this-before-posting-133935.html Pay attention to rules 2, 3, and 7. Thank you.

TheKingInTheNorth · Answer

Is |x| > |y|?

Remember since modulus is involved . try to use positive and negative values . Then we will cover all the possible cases .

(1) x - y > 0 --> x > y. Well, this is clearly insufficient to answer the question: if x = 1 and y = 0, then the answer is YES but if x = 1 and y = -2, then the answer is NO. Not sufficient.

(2) y > 0. Also insufficient as we have no info about x.

(1)+(y) Since x > y and y > 0, then x > y > 0. This implies that x must be further from 0 than y. Sufficient.

ans is C

Regards,

Press kudos if you like the post

nks2611 · Answer

the answer must be C 
we know that x and y could be ++,--,+-,or-+ so from 1 we know that x>y but do not know about signs so out 
 from 2 we know only about y so its out 
 by combining both we can say that |x| > |Y|

harikrish · Answer

Is |x| > |y|?

(1) x - y > 0
(2) y > 0

Solution:

Statement 1: x>y. But 
Case 1: 3>2---- A scenario for 'Yes'
Case 2: -2>-3. But 2 is not greater than 3.

Statement 2: No information about x.Insufficient.

Combine, we get C.

pushpitkc · Answer

(1) x - y > 0
This statement translates to x > y
If both x and y are positive,Both x > y and |x| > |y| are TRUE
However if x is positive(+3), y= negative but with a higher magnitude(-4) though x>y is TRUE, |x| > |y| is FALSE
Insufficient.
(2) y > 0
We have no information about x. Insufficient.

On combining both the statements, it is clear that x > y and |x| > |y|
Since statement B, makes it impossible for y to be negative, 
and the only case when x>y is when x has bigger magnitude. Sufficient(Option C)

ydmuley · Answer

|x| > |y|?

(1) x - y > 0

This means  x>y , lets check some values:

x = 5  &  y = 4, 5 - 4 = 1 , when substituted in the equation  |x| > |y|  we get equation is TRUE

x = 5  &  y = -6, 5 - (-6) = 11  when substituted in the equation  |x| > |y|  we get equation is FALSE

As we are getting two different values  =====> Eq. (1) is NOT SUFFICIENT

(2) y > 0

This does not tell us anything about x

=====> Eq. (2) is NOT SUFFICIENT

Combining (1) & (2)

We know y will always be positive (As  y > 0 ), and  x - y > 0

Which means x will always be greater than y which satisfies the equation

Hence, Answer is C

bumpbot · Answer

Hello from the GMAT Club BumpBot!

Thanks to another GMAT Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

Want to see all other topics I dig out? Follow me (click follow button on profile). You will receive a summary of all topics I bump in your profile area as well as via email.

Is |x| > |y|?

Prep Toolkit

Top 5 GMAT Debrief Videos

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards

GMAT Data Sufficiency (DS) Questions

Is |x| > |y|?

Prep Toolkit

615 to 715 in 15 Days (Ria's Strategies)

More than Quant/Verbal Abilities: Speed vs. Accuracy

745 with Only Self-Prep and GMAT Club

From 555 to 765: 210-point Improvement

Perfect 805 Score Debrief by Julia

My Rewards