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# If s and t are two different numbers on the number line, is

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If s and t are two different numbers on the number line, is [#permalink]

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02 Oct 2006, 21:30
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65% (01:21) correct 35% (00:18) wrong based on 240 sessions

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If s and t are two different numbers on the number line, is s + t = 0 ?

(1) Distance between s and 0 is the same as distance between t and 0
(2) 0 is between s and t

OPEN DISCUSSION OF THIS QUESTION IS HERE: if-s-and-t-are-two-different-numbers-on-the-number-line-is-93372.html
[Reveal] Spoiler: OA

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ARISE AWAKE AND REST NOT UNTIL THE GOAL IS ACHIEVED

Last edited by Bunuel on 29 Sep 2013, 12:34, edited 1 time in total.
Renamed the topic, edited the question and added the OA.
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Re: DS s and t different numbers.. [#permalink]

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02 Oct 2006, 21:43
Raghavender wrote:
If s and t are two different numbers on the number line, is s + t equal to 0 ?

1. The distance between s and 0 is the same as the distance between t and 0
2. 0 is between s and t.

The answer 2 this question is A.

---------------s-------0--------t--------------
1.If A is true then s=-t

B is not sufficient
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02 Oct 2006, 21:46
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Seems to be A.

(2) does not give us much as s & t could be equal or unequal.
(1) says |s - 0| = |t - 0| or |s| = |t| => s = t or s = -t

As s is not equal to t (from the stem), therefore s = -t or s + t = 0.
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Thanks,
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02 Oct 2006, 22:05
Definite A.

The key here is to pick up on "different numbers" in the question.
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12 Oct 2006, 20:50
If 0 is between s and t, I tuk it as 0 is exactly in between s and t....

Then B also wud b true...dont u think so....

Still a bit confused, if "between" can be taken as exactly in between..??
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ARISE AWAKE AND REST NOT UNTIL THE GOAL IS ACHIEVED

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13 Oct 2006, 10:32
Given that s,t are differnt numbers

B is not enough because it is not clear 0 is exactly where from both s,t
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13 Oct 2006, 21:05
A

I'm sure there are several explanations above my answer.
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Re: DS s and t different numbers.. [#permalink]

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01 Jul 2011, 12:24
1) (s+t)/2 = 0
so, s+t=0
2) between does not mean equal distance.
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Re: If s and t are two different numbers on the number line, is [#permalink]

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28 Sep 2013, 12:55
Question is s+t = 0, s= -t?

S and t are different numbers

(1) |s| = |t|
If S and T have to be different numbers then yes.

S = -t or -t=S, I think both should be equivalent (just multiply each side by 1), Hence s= -t, Suff

(2) Says that 0 is between s and t, so they have different signs, but we don't know anything about their values. Hence Insuff

Hope it helps.

By the way, the first time I did this problem I made the mistake in statement 2 of writing that 0 was the average between S and T, but the question stem does not say that 0 is exactly between them, so just to let you know.
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Re: If s and t are two different numbers on the number line, is [#permalink]

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29 Sep 2013, 12:36
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If s and t are two different numbers on the number line, is s + t = 0 ?

Note: "the distance between x and y on the number line equals to z" always can be expressed as $$|x-y|=z$$.

Given $$s\neq{t}$$. Q: $$s+t=0$$? OR is $$s=-t$$

(1) Distance between s and 0 is the same as distance between t and 0 --> $$|s-0|=|t-0|$$ --> $$|s|=|t|$$. As $$s\neq{t}$$, then $$s=-t$$. Sufficient.

(2) 0 is between s and t --> 0 is somewhere between s and t on the number line. Not sufficient.

OPEN DISCUSSION OF THIS QUESTION IS HERE: if-s-and-t-are-two-different-numbers-on-the-number-line-is-93372.html
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Re: If s and t are two different numbers on the number line, is   [#permalink] 29 Sep 2013, 12:36
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