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VP
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A, B, and C are points on the plane. Is AB<10 ?
(1) AC+BC=10
(2) AB+BC>10
OA is E. But cant we consider these points as a triangle then the third side is smaller than the sum of other tow sides. This way, (1) is sufficient.
What is wrong in this reasoning?
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SVP
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Since the question is not explicitly saying that these three points are not on the same line, from stmt1 you get AB <= 10 and that is the reason stmt1 is not sufficient.
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CEO
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ritula wrote: A, B, and C are points on the plane. Is AB<10 ?
(1) AC+BC=10
(2) AB+BC>10
OA is E. But cant we consider these points as a triangle then the third side is smaller than the sum of other tow sides. This way, (1) is sufficient.
What is wrong in this reasoning? 1. You assumed that a, b and c makes a triangle but how do we know that a, b and c are on on the same plane. If so, then ab = ac + bc = 10. 2. ab > 0. So E.
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VP
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In that case also AB cant be 10. It has to be less than 10 (the third side is smaller than the sum of other two sides) GMAT TIGER wrote: ritula wrote: A, B, and C are points on the plane. Is AB<10 ?
(1) AC+BC=10
(2) AB+BC>10
OA is E. But cant we consider these points as a triangle then the third side is smaller than the sum of other tow sides. This way, (1) is sufficient.
What is wrong in this reasoning? 1. You assumed that a, b and c makes a triangle but how do we know that a, b and c are on on the same plane. If so, then ab = ac + bc = 10. 2. ab > 0. So E. |
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CEO
Joined: 29 Aug 2007
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ritula wrote: In that case also AB cant be 10. It has to be less than 10 (the third side is smaller than the sum of other two sides) GMAT TIGER wrote: ritula wrote: A, B, and C are points on the plane. Is AB<10 ?
(1) AC+BC=10
(2) AB+BC>10
OA is E. But cant we consider these points as a triangle then the third side is smaller than the sum of other tow sides. This way, (1) is sufficient.
What is wrong in this reasoning? 1. You assumed that a, b and c makes a triangle but how do we know that a, b and c are on on the same plane. If so, then ab = ac + bc = 10. 2. ab > 0. So E. Thats the point here. We do not know whether a, b and c make a triangle or a line. Read it carefully again.
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Verbal: new-to-the-verbal-forum-please-read-this-first-77546.html
Math: new-to-the-math-forum-please-read-this-first-77764.html
Gmat: everything-you-need-to-prepare-for-the-gmat-revised-77983.html
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Manager
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Can anyone explain how statement 1 tells us that AB <= 10?
If AC + BC = 10, and I assume C=1 then AB can be between 0 and 25 (if A & B are 5)?
Thanks!
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Math Forum Moderator
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ritula wrote: A, B, and C are points on the plane. Is AB<10 ?
(1) AC+BC=10
(2) AB+BC>10
OA is E. But cant we consider these points as a triangle then the third side is smaller than the sum of other tow sides. This way, (1) is sufficient.
What is wrong in this reasoning? Just try these two sets: ************************ Case I: A(0,0), B(6,0), C(3,4) AC=BC=5 AB+BC=6+5=11>10 AB=6<10 ************************ A(0,0), B(10,0), C(5,0) AC=BC=5 AB+BC=10+5=15>10 AB=10=10 ************************ Thus, AB can be equal to 10 OR less than 10. Ans: "E"
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