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If two integers, x and y, are on the number line, does x have a greate

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If two integers, x and y, are on the number line, does x have a greate [#permalink] New post   05 May 2016, 00:59
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If two integers, x and y, are on the number line, does x have a greater absolute value than y?

(1) x – 2 = y – 3
(2) x < 0



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Re: If two integers, x and y, are on the number line, does x have a greate [#permalink] New post   05 May 2016, 03:23
Question: Is |x| > |y| ?

St1: x - y = -1
x = -3; y = -2 --> |x| > |y|
x = 1; y = 2 --> |x| < |y|
Not Sufficient

St2: x < 0 --> Clearly insufficient as we do not know anything about y.

Combining St1 and St2: x is negative and x - y = -1
x = -1; y = 0
x = -2; y = -1
y numerically lags behind x by 1 unit and hence |x| is always greater than |y|
Sufficient

Answer: C
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Re: If two integers, x and y, are on the number line, does x have a greate [#permalink] New post   05 May 2016, 03:25
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Vyshak wrote:
Question: Is |x| > y ?

St1: x - y = -1
x = -3; y = -2 --> |x| > y
x = 1; y = 2 --> |x| Clearly insufficient as we do not know anything about y.

Combining St1 and St2: x is negative and x - y = -1
x = -1; y = 0
x = -2; y = -1
y numerically lags behind x by 1 unit and hence |x| is always greater than y
Sufficient

Answer: C


Small correction: the question asks whether |x|>|y|.



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Re: If two integers, x and y, are on the number line, does x have a greate [#permalink]
05 May 2016, 03:25
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