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Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. QOTD#12 x, y, and z are the lengths of the sides of a triang  Question banks Downloads My Bookmarks Reviews Important topics
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GRE Prep Club Legend  Joined: 07 Jun 2014
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GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
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Kudos [?]: 1895 , given: 397

QOTD#12 x, y, and z are the lengths of the sides of a triang [#permalink]
Expert's post 00:00

Question Stats: 48% (00:41) correct 51% (00:33) wrong based on 37 sessions
x, y, and z are the lengths of the sides of a triangle.

 Quantity A Quantity B x+ y+ z 2z

A)The quantity in Column A is greater.
B)The quantity in Column B is greater.
C)The two quantities are equal.
D)The relationship cannot be determined from the information given.

Practice Questions
Question: 5
Page: 150
[Reveal] Spoiler: OA

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Sandy
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Try our free Online GRE Test GRE Prep Club Legend  Joined: 07 Jun 2014
Posts: 4810
GRE 1: Q167 V156 WE: Business Development (Energy and Utilities)
Followers: 117

Kudos [?]: 1895  , given: 397

Re: QOTD#12 x, y, and z are the lengths of the sides of a triang [#permalink]
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Explanation

In this question, you are comparing x + y + z with 2z. By subtracting z from both quantities, you can see that this is the same as comparing x + y with z. Since x, y, and z are the lengths of the sides of a triangle, and in all triangles the length of each side must be less than the sum of the lengths of the other two sides, it follows that z < x + y. Thus the correct answer is Choice A.
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Sandy
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Kudos [?]: 1792  , given: 9

Re: QOTD#12 x, y, and z are the lengths of the sides of a triang [#permalink]
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sandy wrote:
Explanation

In this question, you are comparing x + y + z with 2z. By subtracting z from both quantities, you can see that this is the same as comparing x + y with z. Since x, y, and z are the lengths of the sides of a triangle, and in all triangles the length of each side must be less than the sum of the lengths of the other two sides, it follows that z < x + y. Thus the correct answer is Choice A.

Great explanation!
Here's a video that explains this rule:

Here's a related question to practice with:

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Brent Hanneson – Creator of greenlighttestprep.com Intern Joined: 12 May 2017
Posts: 21
Followers: 0

Kudos [?]: 12 , given: 14

Re: QOTD#12 x, y, and z are the lengths of the sides of a triang [#permalink]
In the given question, it states that "x, y, and z are the lengths of the sides of a triangle." However, it did not state the type of triangle. If the triangle is an equilateral triangle, whereby x=y=z, then, quantity A will be greater than quantity B. Shouldn't the answer be D? GRE Instructor Joined: 10 Apr 2015
Posts: 1962
Followers: 60

Kudos [?]: 1792  , given: 9

Re: QOTD#12 x, y, and z are the lengths of the sides of a triang [#permalink]
1
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JamesKw wrote:
In the given question, it states that "x, y, and z are the lengths of the sides of a triangle." However, it did not state the type of triangle. If the triangle is an equilateral triangle, whereby x=y=z, then, quantity A will be greater than quantity B. Shouldn't the answer be D?

We are already concluding that Quantity A is greater.
You need to provide a case in which Quantity B is greater in order to conclude that the answer is D

Cheers,
Brent
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Brent Hanneson – Creator of greenlighttestprep.com Intern Joined: 12 May 2017
Posts: 21
Followers: 0

Kudos [?]: 12 , given: 14

Re: QOTD#12 x, y, and z are the lengths of the sides of a triang [#permalink]
Ok. Thanks for your explanation. Appreciate it =) Re: QOTD#12 x, y, and z are the lengths of the sides of a triang   [#permalink] 22 Jun 2017, 19:58
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