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Carcass
Verbal Expert
Joined: 18 Apr 2015
Posts: 18886
GRE 1: Q160 V160
1/19 - 1 [#permalink] New post  06 Sep 2018, 16:12
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Question Stats:

75% (00:21) correct 24% (00:34) wrong based on 89 sessions

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Quantity A
Quantity B
\(\frac{1}{19} - 1\)
\(\frac{1}{18} - 1\)


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

Kudos for the right answer and solution.
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GreenlightTestPrep
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Joined: 10 Apr 2015
Posts: 5251

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Re: 1/19 - 1 [#permalink] New post  07 Sep 2018, 05:35
1
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Carcass wrote:
Quantity A
Quantity B
\(\frac{1}{19} - 1\)
\(\frac{1}{18} - 1\)


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

Kudos for the right answer and solution.


We can solve this question using matching operations

Given:
Quantity A: 1/19 - 1
Quantity B: 1/18 - 1

Add 1 to both quantities:
Quantity A: 1/19
Quantity B: 1/18

At this point, we might recognize that 1/18 is greater than 1/19.
Answer: B

However, we can also continue using matching operations

Multiply both quantities by 19 to get:
Quantity A: 1
Quantity B: 19/18

Quantity B is still bigger!

Multiply both quantities by 18 to get:
Quantity A: 18
Quantity B: 19


Yep, Quantity B is must be bigger


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