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1/19 - 1 [#permalink] New post 06 Sep 2018, 16:12
Expert's post
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Question Stats:

72% (00:22) correct 28% (00:33) wrong based on 75 sessions
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.
[Reveal] Spoiler: OA

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Re: 1/19 - 1 [#permalink] New post 07 Sep 2018, 05:35
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Expert's post
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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Re: 1/19 - 1   [#permalink] 07 Sep 2018, 05:35
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