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QOTD#12 x, y, and z are the lengths of the sides of a triang [#permalink]
19 Aug 2016, 02:54

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Question Stats:

52% (00:31) correct
47% (00:38) wrong based on 19 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

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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 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

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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:

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Brent Hanneson – Creator of greenlighttestprep.com Sign up for our 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

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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 Sign up for our free GRE Question of the Dayemails