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Intern
Joined: 09 Feb 2017
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Re: On the number line shown, is zero halfway between r and s ?
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18 Aug 2017, 22:10
the problem is from statement 2 we get 2 outcomes; s is either positive or r and s are on same point. from the diagram itself it can be derived that r and s are not on same point that leaves us with only one possibility. so I will go back to the original query, should we trust the diagram?



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Re: On the number line shown, is zero halfway between r and s ?
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17 Sep 2017, 23:32
From B:if r<s<t<0 r = s  (1)if s < r < 0 < s < t r=(s) (2)try with a number line, to get a better idea. In Sufficient. From A:s>0 => t> 0 but no details on 'r' can be 0<r<s<t  (3)(OR) (s < r < 0 < s < t) (4)In Sufficient From A & BWe have (2) & (4) as common, => r= s => 0 is halfway between r & s Sufficient Ans: C



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Re: On the number line shown, is zero halfway between r and s ?
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26 Oct 2017, 16:52
Statement 1 is clearly not enough. Statement 2: Let's see Quote: The distance between t and r is the same as the distance between t and s Here only distance is given w.r.t t. Hence this means s could be equal to r (then 0 is half way between r and s) or s could be to the right of t(r.....0.....t..........s; here s and r will be on the same side i.e., to the left of 0). On combining, we have s as positive so s has to be to the left of 0 which effectively means s = r. Here we have a clear answer that 0 is half way between r and s. Hence Option C



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Re: On the number line shown, is zero halfway between r and s ?
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10 Dec 2017, 04:51
This is how i solved through
Diagram analysis: r<s<t
S1: s is to the right of zero. In other words, s>0. However, it doesn't say anything about r. Since r<s, r can be anywhere on the number line, as long as it is left of s. So r can be after 0, at 0, or left of 0, so impossible to say if 0 is the midpoint of r and s.
INSUFFICIENT.
S2: The distance between t and r is the same as between t and s.
Looking at the diagram, if we place s to the left of s, then for tr to be equal to t(s), r and s would have to be the same point. s=r. In such a case, since 0 is midpoint of s and s, 0 will be midpoint of s and r. So answer to the question stem is YES.
But if s and t were on the negative side of the number line, then we have to place s on the positive side of number line, while r remains on the negative side along with s and t. So still statement 2 condition can be satisfied that distance of t and r equals distance of t and s. So answer to question stem is NO.
Thus, INSUFFICIENT.
Combining (1) and (2), statement 1 locks the first case we analyzed in statement 2. That is, s and t lie on positive side of number line, therefore s is on negative side and r has to be the same point as s. So 0 is midway between r and s, and answer to question is always YES.
Thus, SUFFICIENT.
Answer: C.
Posted from my mobile device



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Re: On the number line shown, is zero halfway between r and s ?
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22 Aug 2018, 20:55
Bunuel Can you please direct me towards more of such 'Number Line' Questions ? Similar Topics tag is not very helpful in this case! Thanks !! DenisSh wrote: On the number line shown, is zero halfway between r and s? (1) s is to the right of zero (2) The distance between t and r is the same as the distance between t and s Attachment: Number line.PNG
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Re: On the number line shown, is zero halfway between r and s ? &nbs
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