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Question Stats:
43% (02:06) correct
56% (00:29) wrong based on 1 sessions
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
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Senior Manager
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A.
Sum of two sides of triangle is always greater than the rest.
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Manager
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but how do u know its a triangle?
and not on a straight line?
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Manager
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IMO the answer is E. Neither equation nor the inequality tells u if the 3 points are collinear or vertices of triangle. So nothing can be inferrd.
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Director
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sset009 wrote: but how do u know its a triangle?
and not on a straight line? E should be the answer, you are correct.
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I am thinking E. I agree, neither by itself gives you enough information. We're really only discussing C or E. So, if you take the two statements and you make them AC + BC = AB + AC ( and I realize #2 is >, not =, but follow me for a second), you get AC + BC = AB + AC The AC on each side cancels out, so you have BC = AB. Because AB + AC is actually Greater than, since AC is the same, the difference must be in AB, which must be larger than BC, but we don't know how much larger. We know AC is less than 10 because AC + BC = 10. A number + another number will always be less than the sum of the two numbers (as long as they're both positive). AC can be anything up to (but not including) 10. It could be 9.9999999999999999999, and BC = 10 minus that  (i'm not counting the 9's). Because AB + AC > 10, AB + AC = 300 or AB + AC = 10.1. The point is we just don't know and together they're insufficient. sset009 wrote: A , B , and C are points on the plane. Is AB \lt 10 ?
1. AC + BC = 10
2. AB + AC \gt 10
(C) 2008 GMAT Club - m09#34
* Statement (1) ALONE is sufficient, but Statement (2) ALONE is not sufficient
* Statement (2) ALONE is sufficient, but Statement (1) ALONE is not sufficient
* BOTH statements TOGETHER are sufficient, but NEITHER statement ALONE is sufficient
* EACH statement ALONE is sufficient
* Statements (1) and (2) TOGETHER are NOT sufficient
Couldnt understand the official explanation
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i have fallen for such mistakes before..now its etched into memory..
you dont know if the points are in a triangular coordinates..
E is best..
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A ,B , and C and are points on the plane. Is AB<10 ?
1) AC+BC=10
2) AB+AC >10
Answer: E
Can someone pls explain this DS answer to me ? Do we assume that is a triangle? Maybe it is a straight line? If it is a triangle, then S1 is sufficient because the other side needs to less than ten. Thank you
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dczuchta wrote: A ,B , and C and are points on the plane. Is AB<10 ?
1) AC+BC=10
2) AB+AC >10
Answer: E
Can someone pls explain this DS answer to me ? Do we assume that is a triangle? Maybe it is a straight line? If it is a triangle, then S1 is sufficient because the other side needs to less than ten. Thank you The answer is E because you can't assume that it has to be a triangle. A, B and C can lay on a straight line too.
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A, B , and C are points on the plane. Is AB<10 ?
1. AC+BC=10
2. AB+AC>10
Shldnt 1 be sufficient ?
bcos if we make a triangle of these three points then triangle property says "The sum of the lengths of any two sides of a triangle must be greater than the third side" then AC+BC>AB
since AB+BC=10 Hence AB<10
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You're right if you think of it as a triangle, but a triangle is not the only option. The points are on a plane, and the points COULD be in a line and still on the same plane. If this happens, and say the points go A-C-B, then the distance between AB would be 10, not less than 10, so 1 is insufficient. ritula wrote: A, B , and C are points on the plane. Is AB<10 ?
1. AC+BC=10
2. AB+AC>10
Shldnt 1 be sufficient ?
bcos if we make a triangle of these three points then triangle property says "The sum of the lengths of any two sides of a triangle must be greater than the third side" then AC+BC>AB
since AB+BC=10 Hence AB<10
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oh yes....i didnt think of dat option. thanks! jallenmorris wrote: You're right if you think of it as a triangle, but a triangle is not the only option. The points are on a plane, and the points COULD be in a line and still on the same plane. If this happens, and say the points go A-C-B, then the distance between AB would be 10, not less than 10, so 1 is insufficient. ritula wrote: A, B , and C are points on the plane. Is AB<10 ?
1. AC+BC=10
2. AB+AC>10
Shldnt 1 be sufficient ?
bcos if we make a triangle of these three points then triangle property says "The sum of the lengths of any two sides of a triangle must be greater than the third side" then AC+BC>AB
since AB+BC=10 Hence AB<10 |
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So the answer is E right?
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This question is so tricky! Gmat test takers can't be THAT cunning that can they!? 
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sset009 wrote: but how do u know its a triangle?
and not on a straight line? damn it .. got tricked again 
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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)?
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tricky one... hope this is 700+level question...
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IMO E we can conclude S1 is suff. if it was given that points are not in line
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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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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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close
