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# Is |x| > |y|?

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Intern
Joined: 04 Jun 2014
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Is |x| > |y|?  [#permalink]

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26 Aug 2014, 13:57
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Difficulty:

25% (medium)

Question Stats:

68% (01:05) correct 32% (00:49) wrong based on 239 sessions

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Is |x| > |y|?

(1) x - y > 0
(2) y > 0
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Joined: 02 Sep 2009
Posts: 58381
Re: Is |x| > |y|?  [#permalink]

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26 Aug 2014, 14:27
1
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.

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Re: Is |x| > |y|?  [#permalink]

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01 Jun 2017, 00:55
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

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Re: Is |x| > |y|?  [#permalink]

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23 Jun 2017, 04:52
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|
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Re: Is |x| > |y|?  [#permalink]

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24 Jun 2017, 11:25
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.
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Re: Is |x| > |y|?  [#permalink]

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24 Jun 2017, 11:48
(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)
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Re: Is |x| > |y|?  [#permalink]

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25 Jun 2017, 14:58
$$|x| > |y|?$$

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

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
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Re: Is |x| > |y|?  [#permalink]

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01 Nov 2018, 16:58
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Re: Is |x| > |y|?   [#permalink] 01 Nov 2018, 16:58
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