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Between what two numbers is the measure of the third side of

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agnok
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Between what two numbers is the measure of the third side of [#permalink] New post   09 Sep 2010, 10:27
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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?

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sandeep800
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Re: Between what two numbers is the measure of the third side of [#permalink] New post   09 Sep 2010, 12:08
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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
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Re: Between what two numbers is the measure of the third side of [#permalink] New post   09 Sep 2010, 13:09
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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.
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Re: Between what two numbers is the measure of the third side of [#permalink] New post   09 Sep 2010, 13:13
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
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Re: Between what two numbers is the measure of the third side of [#permalink] New post   09 Sep 2010, 13:54
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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.
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Re: Between what two numbers is the measure of the third side of [#permalink] New post   09 Sep 2010, 16:09
In original posted question, it doesn't say integer also. So sides are infinite 1.1; 2,1 etc
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Re: Between what two numbers is the measure of the third side of [#permalink] New post   10 Sep 2010, 06:17
All,

This question is from Learning Express's GMAT Book. I did not understand it myself hence asked for your assistance.
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Re: Between what two numbers is the measure of the third side of [#permalink] New post   10 Sep 2010, 07:56
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!!!
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Re: Between what two numbers is the measure of the third side of [#permalink] New post   11 Sep 2010, 23:50
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This question does not make any sense. I wouldn't recommend to study it.

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Re: Between what two numbers is the measure of the third side of [#permalink]
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