Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized for You

we will pick new questions that match your level based on your Timer History

Track Your Progress

every week, we’ll send you an estimated GMAT score based on your performance

Practice Pays

we will pick new questions that match your level based on your Timer History

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 [#permalink]
19 Aug 2016, 02:54

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.

Re: QOTD#12 x, y, and z are the lengths of the sides of a triang [#permalink]
19 Aug 2016, 02:55

2

This post received KUDOS

Expert's post

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.
_________________

Sandy If you found this post useful, please let me know by pressing the Kudos Button

Re: QOTD#12 x, y, and z are the lengths of the sides of a triang [#permalink]
19 Aug 2016, 05:54

1

This post received KUDOS

Expert's post

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:

_________________

Brent Hanneson – Creator of greenlighttestprep.com Sign up for my free GRE Question of the Dayemails

Re: QOTD#12 x, y, and z are the lengths of the sides of a triang [#permalink]
22 Jun 2017, 07:56

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?

Re: QOTD#12 x, y, and z are the lengths of the sides of a triang [#permalink]
22 Jun 2017, 14:37

1

This post received KUDOS

Expert's post

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
_________________

Brent Hanneson – Creator of greenlighttestprep.com Sign up for my free GRE Question of the Dayemails