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Each week we'll be posting several questions from The Official Guide For GMAT® Quantitative Review, 2ND Edition and then after couple of days we'll provide Official Answer (OA) to them along with a slution.

We'll be glad if you participate in development of this project: 1. Please provide your solutions to the questions; 2. Please vote for the best solutions by pressing Kudos button; 3. Please vote for the questions themselves by pressing Kudos button; 4. Please share your views on difficulty level of the questions, so that we have most precise evaluation.

Re: In triangle XYZ, whatis the length of YZ? [#permalink]
29 Jan 2014, 01:20

Expert's post

SOLUTION

In triangle XYZ, whatis the length of YZ?

The length of any side of a triangle must be larger than the positive difference of the other two sides, but smaller than the sum of the other two sides.

(1) The length of XY is 3. Not sufficient. (2) The length of XZ is 5. Not sufficient.

(1)+(2) (5-3) < YZ < (5+3) --> 2 < YZ < 8. Not sufficient.

Re: In triangle XYZ, whatis the length of YZ? [#permalink]
29 Jan 2014, 02:12

1

This post received KUDOS

From S1:knowing length of one side is not sufficient to determine length of others in a triangle unless it is of a particular type. From S2:Sam explanation.Insuffficient. Combining the two we could have the third side as 3,4,5,6,7(sum of two sides in a triangle always greater than third) but no single length can be known. Ans.E

Re: In triangle XYZ, whatis the length of YZ? [#permalink]
29 Jan 2014, 22:31

Statement 1: From length XY = 3, we cannot determine the length of YZ; Not Sufficient. Statement 2: From lenth XZ = 5, we cannot determine the length of YZ; Not Sufficient.

Combining both statements, we still cannot definitely find a value for YZ as the length of YZ could be any integer from 3 to 7. Do not assume that YZ will be 4, as nowhere has it been stated that the triangle is a right angled triangle.

Re: In triangle XYZ, whatis the length of YZ? [#permalink]
01 Feb 2014, 09:12

Expert's post

SOLUTION

In triangle XYZ, whatis the length of YZ?

The length of any side of a triangle must be larger than the positive difference of the other two sides, but smaller than the sum of the other two sides.

(1) The length of XY is 3. Not sufficient. (2) The length of XZ is 5. Not sufficient.

(1)+(2) (5-3) < YZ < (5+3) --> 2 < YZ < 8. Not sufficient.

Re: In triangle XYZ, whatis the length of YZ? [#permalink]
08 Jan 2015, 15:03

I know this is basic but it doesn´t hurt to mention it once again...

Watch out for Pythagorean triple impostors!

We want the Gmat to be just a pattern-based exam and whenever we look at keywords such as "triangle + 3 + 5", our brain wants to assume that the remaining side must equal 4.

Fight that instinct (even if your behind time). Besides, nowhere in the passage is it mentioned that this is a right triangle! _________________

Consider giving me Kudos if I helped, but don´t take them away if I didn´t!

What would you do if you weren´t afraid?

gmatclubot

Re: In triangle XYZ, whatis the length of YZ?
[#permalink]
08 Jan 2015, 15:03

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