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If A ,B , and C are points on the plane, is AB < 10 ?

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dungtd
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If A ,B , and C are points on the plane, is AB < 10 ? [#permalink] New post   04 Aug 2010, 20:35
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49% (02:05) correct 51% (01:55) wrong based on 129 sessions
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If A ,B , and C are points on the plane, is AB <10 ?

(1) AC + BC = 10
(2) AB + AC > 10

(C) 2008 GMAT Club - m09#34
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E
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Re: A,B,C [#permalink] New post   04 Aug 2010, 21:53
Hello,

Are you sure the answer is E and not A?

Statement 1
Consider Triangle ABC,
Sum of any two sides is greater than third side so AC+BC = 10 > AB
Statement 1 is sufficient

Statement 2
AB+AC>10 Not sufficient
AB = 1 AC=11
AB=11 AC= 11
Both satisfy statement 2.


regards,
Jack
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Re: A,B,C [#permalink] New post   04 Aug 2010, 22:52
@Jack, nowhere in the question its mentioned that ABC would form a triangle...

@mods-- why a DS question is posted in PS section?
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Re: A,B,C [#permalink] New post   04 Aug 2010, 23:07
kanhaiya you are right and I fell into the trap :(
Thanks.
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Re: A,B,C [#permalink] New post   05 Aug 2010, 12:42
kanhaiya wrote:
@Jack, nowhere in the question its mentioned that ABC would form a triangle...

@mods-- why a DS question is posted in PS section?


I am sorry for the wrong post!
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Re: A,B,C [#permalink] New post   09 Nov 2010, 12:59
kanhaiya wrote:
@Jack, nowhere in the question its mentioned that ABC would form a triangle...

@mods-- why a DS question is posted in PS section?


Although it is not mentioned that the points form a triangle, really there is a traingle!
IMO is A.

What do you think Bunuel?
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Re: A,B,C [#permalink] New post   09 Nov 2010, 13:17
Expert Reply
dungtd wrote:
If A ,B , and C are points on the plane, is AB <10 ?

1. AC + BC = 10
2. AB + AC > 10

(C) 2008 GMAT Club - m09#34

metallicafan wrote:
kanhaiya wrote:
@Jack, nowhere in the question its mentioned that ABC would form a triangle...

@mods-- why a DS question is posted in PS section?


Although it is not mentioned that the points form a triangle, really there is a traingle!
IMO is A.

What do you think Bunuel?


E is correct.

The point here is that A, B and C can be collinear.

For example:

A----(8)----B-(1)-C --> AC+BC=9+1=10 (statement 1) and AB + AC=8+9=17>10 (statement 2) --> AB=8<10, so answer is YES;

A----(8)----C-(2)-B --> AC+BC=8+2=10 (statement 1) and AB + AC=10+8=18>10 (statement 2) --> AB=10, so answer is NO.
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Re: A,B,C [#permalink] New post   09 Nov 2010, 13:24
Statement 1 is insufficient because ACB could be a line.

so if AC + BC = 10. then AB could be 10 which is not less than 10.
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Re: If A ,B , and C are points on the plane, is AB < 10 ? [#permalink] New post   22 Dec 2021, 17:19
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Re: If A ,B , and C are points on the plane, is AB < 10 ? [#permalink]
22 Dec 2021, 17:19
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