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Is x > y, where x and y are different non zero integers.

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rajarshee
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Is x > y, where x and y are different non zero integers. [#permalink] New post   Updated on: 22 Sep 2015, 22:14
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A
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C
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E

Difficulty:

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Question Stats:

41% (02:28) correct 59% (02:01) wrong based on 66 sessions
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Is x > y, where x and y are different non zero integers.

(1) x > 2y
(2) x > -y
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Official Answer
C

Originally posted by rajarshee on 22 Sep 2015, 13:15.
Last edited by Bunuel on 22 Sep 2015, 22:14, edited 1 time in total.
Renamed the topic and edited the question.
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rajarshee
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Re: Is x > y, where x and y are different non zero integers. [#permalink] New post   22 Sep 2015, 16:22
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rajarshee wrote:
Is x>y, where x and y are different non zero integers.

1. x>2y
2. x>-y



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Solution:

1. x>2y works for both the sets of (x,y) -> (3,1) and (-3,-2) Hence insufficient

2. x>-y means either of the following situations:

x is +ve, y is +ve and works both for x>y and x<y
x is +ve, y is -ve and |x|>|y| (so x>y)
x is -ve, y is +ve and |x|<|y| (so x<y)

so insufficient

Combining 1 and 2:
if x, y both are +ve and x>2y then x>y
if x is +ve and y is -ve and x>2y then also x>y
and x cannot be -ve when y is +ve if x > 2y (condition 2)
so sufficient
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Re: Is x > y, where x and y are different non zero integers. [#permalink] New post   01 Oct 2015, 19:55
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E, is the correct answer .
After combining, even you are not sure that you will get x greater than y.

Thanks
Sumit kumar
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Re: Is x > y, where x and y are different non zero integers. [#permalink] New post   01 Oct 2015, 22:47
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sumitsinha4u wrote:
E, is the correct answer .
After combining, even you are not sure that you will get x greater than y.

Thanks
Sumit kumar


Can you please show your work? Thank you.

Notice that the OA is C.
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Re: Is x > y, where x and y are different non zero integers. [#permalink] New post   02 Oct 2015, 12:38
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rajarshee wrote:
Is x > y, where x and y are different non zero integers.

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



The question stem can be rewritten as Is x-y>0?

(1) This statement can be rewritten as x-2y>0. This doesn't answer the question whether x-y>0, so it is insufficient.

(2) This statement can be rewritten as x+y>0. This doesn't answer the question whether x-y>0, so it is insufficient.

(Combining) Multiply x+y>0 by 2 to yield --> 2x+2y>0. Now add x-2y>0 to 2x+2y>0 to yield 3x>0 --> x>0. Add x-2y>0 to x>0 to yield 2x-2y>0.
Divide both sides of inequality by 2 to yield x-y>0. This answers the question directly. Answer choice is C.
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Re: Is x > y, where x and y are different non zero integers. [#permalink] New post   04 Oct 2015, 12:35
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Hi All,

This question can be solved with a mix of TESTing VALUES and Number Properties.

We're told that X and Y are both non-0 integers. We're asked if X is greater than Y. This is a YES/NO question.

1) X > 2Y

IF...
X = 3
Y = 1
Then the answer to the question is YES

IF...
X = -1
Y = -1
Then the answer to the question is NO
Fact 1 is INSUFFICIENT

2) X > -Y

IF...
X = 3
Y = 1
Then the answer to the question is YES

IF...
X = -1
Y = 2
Then the answer to the question is NO
Fact 2 is INSUFFICIENT

Combined, we know...
X > 2Y
X > -Y

When dealing with BOTH Facts together, Number Property knowledge can come in really handy...

IF....
Y = NEGATIVE, then (X > -Y) means that X MUST be POSITIVE.
Y = POSITIVE, then (X > 2Y) means that X MUST be POSITIVE.

Therefore, X MUST be POSITIVE. Knowing that....
IF...Y = NEGATIVE, then X will ALWAYS be greater than Y, so the answer to the question is YES.
IF...Y = POSITIVE, then X is greater than 2Y, so X will also be greater than Y, so the answer to the question is also YES.
The answer to the question is ALWAYS YES.
Combined, SUFFICIENT.

Final Answer:
Show Spoiler
C


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Re: Is x > y, where x and y are different non zero integers. [#permalink] New post   12 Jan 2022, 07:29
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Re: Is x > y, where x and y are different non zero integers. [#permalink]
12 Jan 2022, 07:29
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