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Manager
Joined: 17 Nov 2009
Posts: 208
Between what two numbers is the measure of the third side of
[#permalink]
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Between what two numbers is the measure of the third side of triangle
1. The sum of two known sides is 10
2. difference of 2 known sides is 6
Please explain how both the statements are not required?
Senior Manager
Joined: 03 Apr 2010
Status:GMAT Time...!!!
Posts: 262
Re: triangles [#permalink]
agnok wrote:
Between what two numbers is the measure of the third side of triangle
1. The sum of two known sides is
10
2. difference of 2 known sides is 6
Please explain how both the statements are not required?
Hi agnok,
I will try to explain with example
choice 1 sufficient
explaination:
we know sum of two sides to be 10 so the possibilities of 2 sides can be [5,5],[4,6],[3,7],[2,8],[1,9]
here [5,5] not possible coz questions ask the number in between..similarily [1,9] also ruled out as the question asks the number in between...
[3,7] ruled out ,if it
is 4 so triangle not possible same concept for [2,8]
Only possible value is [4,6]
coming to Choice 2 : Insufficient
we are given the difference of two known side i.e 6
so the two values can be like[8,2],[7,1][9,2].....and so
the value for the third side can be found out but there will be many answers for that
Hope it helps u
Thanx
GMAT Tutor
Joined: 24 Jun 2008
Posts: 4085
Re: triangles [#permalink]
agnok wrote:
Between what two numbers is the measure of the third side of triangle
1. The sum of two known sides is
10
2. difference of 2 known sides is 6
Please explain how both the statements are not required?
Where is this question from? It doesn't make any logical sense as a DS question, because it's impossible to know what information would be sufficient, and there is no unique correct answer to the problem. Simplifying the problem for illustration, if, say, you were asked:
The integer x lies between which two numbers?
1. 3 < x < 11
2. 5 < x < 13
Is Statement 1 sufficient? Statement 2? The question makes no sense, since there is no single answer - x lies between a lot of different pairs of numbers.
So the GMAT could never structure a DS question like the one in the original post.
_________________
GMAT Tutor in Montreal
Contact me for online GMAT math tutoring, or about my higher-level GMAT Quant books and problem sets, at ianstewartgmat at gmail.com
ianstewartgmat.com
Senior Manager
Joined: 03 Apr 2010
Status:GMAT Time...!!!
Posts: 262
Re: triangles [#permalink]
IanStewart wrote:
agnok wrote:
Between what two numbers is the measure of the third side of triangle
1. The
sum of two known sides is 10
2. difference of 2 known sides is 6
Please explain how both the statements are not required?
Where is this question from? It doesn't make any logical sense as a DS question, because it's impossible to know what information would be sufficient, and there is no unique correct answer to the problem. Simplifying the problem for illustration, if, say, you were asked:
The integer x lies between which two numbers?
1. 3 < x < 11
2. 5
< x < 13
Is Statement 1 sufficient? Statement 2? The question makes no sense, since there is no single answer - x lies between a lot of different pairs of numbers.
So the GMAT could never structure a DS question like the one in the original post.
well Ian I dont know but the only solutions turns out to be A for the above question as its a geometry and ur question is not dealing with triangle property of sum greater or lesser ..its simply asking for x between two
numbers....
thanx
GMAT Tutor
Joined: 24 Jun 2008
Posts: 4085
Re: triangles [#permalink]
sandeep800 wrote:
well Ian I dont know but the only solutions turns out to be A for the above question as its a geometry and ur
question is not dealing with triangle property of sum greater or lesser ..its simply asking for x between two numbers....
thanx
I understand perfectly well what the question is asking, and it makes no difference if it's geometry or algebra. If you have, say, a 3-4-5 triangle, and I ask "between what two numbers is the measure of the longest side?", then what is the answer? There isn't one unique correct answer; 5 is between 4 and 6, but it's also between 1 and 1000. It doesn't make sense to ask this as a DS question.
Clearly the question designer was trying to test the triangle inequality in a DS question, but as it's written, the question doesn't make any sense as a Data Sufficiency problem, and you could never see it on the GMAT.
_________________
GMAT Tutor in Montreal
Contact me for online GMAT math tutoring, or about my higher-level GMAT Quant books and problem sets, at ianstewartgmat at gmail.com
ianstewartgmat.com
Manager
Joined: 20 Jul 2010
Posts: 145
Re: triangles [#permalink]
In original posted question, it doesn't say integer also. So sides are infinite 1.1; 2,1 etc
Manager
Joined: 17 Nov 2009
Posts: 208
Re: triangles
[#permalink]
All,
This question is from Learning Express's GMAT Book. I did not understand it myself hence asked for your assistance.
Intern
Joined: 07 Sep 2010
Posts: 25
Re: triangles
[#permalink]
Hi All,
The question is right. it just asks, between what two numbers must be the measure of the third side.
The measure of a
side of triangle has to be less than the sum of the other two sides of the triangle and greater than zero.
So here...it must be between 0 and 10.
Hence A is enough!
KUDOS KUDOS KUDOS Guys!!!
Math Expert
Joined: 02 Sep 2009
Posts: 86907
Re: triangles
[#permalink]
This question does not make any sense. I wouldn't recommend to study it.
_________________
Re: triangles [#permalink]
11 Sep 2010, 22:50