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

Question

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?

sandeep800 · Answer

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

IanStewart · Answer

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.

sandeep800 · Answer

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

IanStewart · Answer

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.

saxenashobhit · Answer

In original posted question, it doesn't say integer also. So sides are infinite 1.1; 2,1 etc

agnok · Answer

All,

This question is from Learning Express's GMAT Book. I did not understand it myself hence asked for your assistance.

ahsanmalik12 · Answer

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!!!

Bunuel · Answer

This question does not make any sense. I wouldn't recommend to study it.

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

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