OG#69

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OG#69

by tapanmittal » Sun Jul 19, 2015 8:40 am
Of the 4 numbers represented on the number line,is r closest to zero?
Please find the number line in OF 13th edition.

1) q=-s
2) -t<q

OA-A
Source: — Data Sufficiency |

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by Brent@GMATPrepNow » Sun Jul 19, 2015 8:54 am
Here's the question with the required diagram:
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Of the four numbers represented on the number line, is r closest to zero?

(1) q = -s
(2) -t < q
Target question: Is r closest to zero?

Statement 1: q = -s
This tells us that q and s are on opposite sides of zero (i.e., one is positive and one is negative) AND it tells us that q and s are the same distance from zero.
So, we get something like this: q.....0.....s
Since r is between points q and s, r must be the closest point to zero
Since we can answer the target question with certainty, statement 1 is SUFFICIENT

Statement 2: -t < q
There are several sets of values that satisfy this condition. Here are two:
Case a: q = -1, r = 0, s = 1 and t = 2, in which case r IS the closest to zero
Case b: q = 0, r = 1, s = 2 and t = 3, in which case r is NOT the closest to zero
Since we cannot answer the target question with certainty, statement 2 is NOT SUFFICIENT

Answer = A

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by GMATGuruNY » Sun Jul 19, 2015 9:09 am
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q, r, s and t must be in the order shown.

Statement 1: q = -s
Case 1: s=1, q=-1
q=-1.....0.....s=1.....t
Here, r must be in the RED PORTION between q and s.
Since the red portion includes 0, r will be closest to 0.

Case 2: s=10, q=-10
q=-10...............0...............s=10.....t
Once again, r must be in the RED PORTION between q and s.
Since the red portion includes 0, r will be closest to 0.

In every case, r will be in the red portion between q and s -- the portion that includes 0.
Thus, r will always be closest to 0.
SUFFICIENT.

Statement 2: -t < q
If t=10, then q>-10.
Thus, the number line could look like this:
q=-9...........r..........s............t=10.
No way to determine whether r or s is closest to 0.
INSUFFICIENT.

The correct answer is A.
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by nikhilgmat31 » Wed Jul 22, 2015 12:20 am
I remember this question. statement 2 troubled me while solving OG 13

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by [email protected] » Wed Jul 22, 2015 8:19 am
Hi All,

This question was discussed here:

https://www.beatthegmat.com/which-is-clo ... 74491.html

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Rich
Contact Rich at [email protected]
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