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Is s between r and t (1) |r-s| < |r-t| (2) |r-s| < |s-t|

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Is s between r and t (1) |r-s| < |r-t| (2) |r-s| < |s-t|  [#permalink]

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New post 04 Apr 2019, 22:46
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E

Difficulty:

  55% (hard)

Question Stats:

57% (01:53) correct 43% (01:39) wrong based on 28 sessions

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Re: Is s between r and t (1) |r-s| < |r-t| (2) |r-s| < |s-t|  [#permalink]

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New post 04 Apr 2019, 22:50
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Is s between r and t (1) |r-s| < |r-t| (2) |r-s| < |s-t|  [#permalink]

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New post 05 Apr 2019, 02:34
1
Bunuel wrote:
Is s between r and t

(1) |r-s| < |r-t|
(2) |r-s| < |s-t|


Not sure about my approach but trying to learn. :)

Question : Is r < s < t OR t < s < r ?

(1) |r-s| < |r-t| : Means distance between r and s less than distance between r and t

r....s.........t ---- YES

s.....r.........t ------ NO

NOT SUFFICIENT


(2) |r-s| < |s-t| : Means distance between r and s less than distance between s and t

Same as ST 1 :

r....s.........t ---- YES

s.....r.........t ------ NO

Combining we also get YES or NO.

(E)



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Re: Is s between r and t (1) |r-s| < |r-t| (2) |r-s| < |s-t|  [#permalink]

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New post 05 Apr 2019, 03:37
Bunuel wrote:
Is s between r and t

(1) |r-s| < |r-t|
(2) |r-s| < |s-t|


solve for eqn
#1
|r-s| < |r-t|
2r<t+s
1<t-s
s>t
so draw a no line and mark 1....2.......6 and -5...-2...-1
we see not sufficient

#2
|r-s| < |s-t|
2s<t+r
1<r-t
1<t-r
2s<t+r
so draw a no line and mark 1....2.......6 and -5...-2...-1
we see not sufficient

from 1 & 2
nothing in common
IMO E
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Re: Is s between r and t (1) |r-s| < |r-t| (2) |r-s| < |s-t|  [#permalink]

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New post 05 Apr 2019, 21:14
IMO E ,

from the first statement ,

we get t<s

from the second we get,

t<r

but there is nothing to give relation between s and r

so IMO E


award kudos if helpful

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Re: Is s between r and t (1) |r-s| < |r-t| (2) |r-s| < |s-t|   [#permalink] 05 Apr 2019, 21:14
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