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Manager
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At first glance, I also picked up A as an answer. Though, the trick here is to understand the fine difference between a line and plane and related peculiarities of both.  I must remember it now! Thanks for posting such a nice question. 
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Manager
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Just wanted to be sure :
If it was specified that A,B and C are distinct points in a plane, would answer A be sufficient?
Also, if mentioned that A,B and C forms a triangle, I am sure answer A is sufficient.
Please correct me if I am wrong in my understanding.
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Senior Manager
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hmm, my way of thinking is below- stm 1 -no info about AB stm 2- insuf info mix of stm 1 and stm 2- AC + BC = 10 let AC equal 9 (max possible value) then AB + AC> 10 AB +9>10 AB >1 (it could be 5 or 15,so insuf ) AC + BC = 10 let AC equal 1 (min possible value) then AB + AC> 10 AB +1>10 AB >9 (it could be 10 or 15 ,so insuf) answ is E
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My initial response was A based on properties of triangles. Then E because the points could be a straight line. Duh! Tricky GMAT, tricky!
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good question. statements not sufficient
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tough question..but can't figure out whether points can form a triangle or colinear & even it didn't say whether all points are distinct. answer is E
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Let the three points be anywhere. Since it is not mentioned that it is a triangle therefore we cannot use only Statement 1
using Statement 1 and 2
AB > AC
and AB > 10 -BC
the second is more interesting as we can start by having A,B and C in a straight line and as we move point B (or C, or A) we get various values of a triangle with values like
AB > 10, AB>9 AB>8... so forth which makes both statements not sufficient
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difficult question , still cant get to the answer though
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I got B as answer... My logic was AB + AC> 10 hence AB > (10- AC) Since A, B and C are three different point, AB, BC,and AC are all positive values. so AC will have a value defines as 0 < AC < 10. because if AC> 10, AB becomes negative. SO this inturn gives the value of AB as : 10 > AB > 0. So AB is less than 10.Pls tell me where I went wrong!!
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Depaulian wrote: I got B as answer...
My logic was
AB + AC> 10
hence AB > (10- AC)
Since A, B and C are three different point, AB, BC,and AC are all positive values.
so AC will have a value defines as 0 < AC < 10.
because if AC> 10, AB becomes negative.
SO this inturn gives the value of AB as : 10 > AB > 0.
So AB is less than 10.
Pls tell me where I went wrong!! OOPs...ya i gt it nw
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both are insufficient ..E
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Orange08 wrote: Just wanted to be sure :
If it was specified that A,B and C are distinct points in a plane, would answer A be sufficient?
Also, if mentioned that A,B and C forms a triangle, I am sure answer A is sufficient.
Please correct me if I am wrong in my understanding. Yes. You are right then!
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sset009 wrote: A , B , and C are points on the plane. Is AB \lt 10 ? 1. AC + BC = 10 2. AB + AC \gt 10 Source: GMAT Club Tests - hardest GMAT questions Couldnt understand the official explanation New edition of this question reads: If A, B, and C are distinct points on the number line. Is the length of the line segment AB less than 10?(1) The sum of the lengths of line segments AC and BC is 10 (2) The sum of the lengths of line segments AB and AC is more than 10 Even when we consider both statements together we can not have a definite answer. Consider two examples below: Attachment: 
Number line.png [ 8.54 KiB | Viewed 331 times ]
Answer: E.
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OMG I 'm wondering where you were Bunuel 
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Could not understand the question None of he options seem interesting Choose E! - strategic guess
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It's a tough question because I got to the point where it was between C and E. I didn't know what cases to choose to rule out C convincingly.
This is my attempt at a methodical approach or ruling out answers.
Lets take two cases:
1) Where C is in between A and B
--A-----------------C-------------------B-----
----------4-----------------6------------------
AC+BC = 10 YES
AB+AC>10 YES
AB<10?? NO
2) Where C is outside of A and B
--A-----------------B-------------------C-----
----------2-----------------4------------------
AC+BC = 10 YES
AB+AC>10 NO
AB<10?? YES
But this case is invalid because in this case :AB+AC>10 NO
2) Where C is outside of A and B
--A-----------------B-------------------C-----
----------2-----------------8------------------
AC+BC = 10 YES
AB+AC>10 YES
AB<10?? YES
Choose E and move on.
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E is the answer.
(1) does not give any relation about AB at all
(2) gives vague information about AB as we donot know about AC
so AD and B are not the answers
C .. when combined also we cannot land on a perfect solution, so C is also not the choice.
Hence E.
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Answer:E Because the points are on plane so they can be anywhere . Look at the scenario when the points are in line A____C____B in that case If AC + BC =10 then AB =10 which is not less than 10
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the answer is E, and a quick dirty way to do it is by plugging in numbers. First thing to note is that it the original question does not say A B or C are distinct, implying that A could equal B and so on. Also, the way the equations are set up it is just easier to think about the points as numbers.
so is stmt 1 enough?
AC + BC = 10. plug in A=2, B=0, C=5
in this case AB<10
now plug in A = 5, B =5, C=1
in this case AB>10.
Therefore stmnt 1 is not enough.
is stmt 2 enough?
AB +AC >10
A = 11, B = 1, C = 1 and AB >10
A = 1, B = 1, C =10 and AB<10
therefore stmnt 2 is not enough
Together?
AC + BC = 10 and AB+AC>10
A=3, B = 2, C =2 and AB<10
A=18, B = 2, C =.5 and AB>10
therefore together not enough
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matt3030 wrote: Interesting. I assume that if the question prompt was something like "A, B and C are distinct points on a plane" that the answer would be (a)? I assume, irrespective of points are distinct or not, the ans is E The ans is A only if it is given that the 3 points don't lie on the same line.
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close
