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Carcass

Verbal Expert

Joined: 18 Apr 2015

Posts: 16959

GRE 1: Q160 V160

1/19 - 1 [#permalink]

06 Sep 2018, 16:12

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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

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GreenlightTestPrep

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Re: 1/19 - 1 [#permalink]

07 Sep 2018, 05:35

Expert Reply

Carcass wrote:

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

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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