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GreenlightTestPrep
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|x + y|... [#permalink] New post   Updated on: 13 Sep 2020, 14:57
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Quantity A
Quantity B
|x + y|
|x| + |y|


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.


Note: These questions are designed to help students master quantitative comparison questions: https://www.greenlighttestprep.com/modu ... comparison
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D

Originally posted by GreenlightTestPrep on 27 Jul 2016, 15:08.
Last edited by GreenlightTestPrep on 13 Sep 2020, 14:57, edited 3 times in total.
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Re: |x + y|... [#permalink] New post   28 Jul 2016, 10:05
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GreenlightTestPrep wrote:
Quantity A
Quantity B
|x + y|
|x| + |y|



Let's use the strategy called LOOKING FOR EQUALITY.

Looking at the two quantities, I can see that they are EQUAL when x = 0 and y = 0
We get:
Quantity A: |x + y| = |0 + 0| = |0| = 0
Quantity B: |x| + |y| = |0| + |0| = 0 + 0 = 0
The two quantities are EQUAL

At this point, we know the correct answer is C or D

Now try some other values for x and y.
How about: x = -1 and y = 1
We get:
Quantity A: |x + y| = |-1 + 1| = |0| = 0
Quantity B: |x| + |y| = |-1| + |1| = 1 + 1 = 2
The two quantities are NOT EQUAL

Answer:
Show: ::
D


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Re: |x + y|... [#permalink] New post   15 Oct 2019, 15:27
Interesting question
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Re: |x + y|... [#permalink] New post   12 Aug 2024, 10:10
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Thanks to another GRE Prep Club member, I have just discovered this valuable topic, yet it had no discussion for over a year. I am now bumping it up - doing my job. I think you may find it valuable (esp those replies with Kudos).

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