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#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here. # a and b are integers greater than zero.  Question banks Downloads My Bookmarks Reviews Important topics
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Founder  Joined: 18 Apr 2015
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a and b are integers greater than zero. [#permalink]
Expert's post 00:00

Question Stats: 86% (00:20) correct 13% (00:30) wrong based on 59 sessions Moderator  Joined: 07 Jan 2018
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Kudos [?]: 785  , given: 88

Re: a and b are integers greater than zero. [#permalink]
1
KUDOS
Take a=b=1 qty A and qty B will be equal.
Take a=2, b=1 qty A < qty B
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Need Practice? 20 Free GRE Quant Tests available for free with 20 Kudos GRE Instructor Joined: 10 Apr 2015
Posts: 3915
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Kudos [?]: 4782  , given: 70

Re: a and b are integers greater than zero. [#permalink]
2
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Expert's post
Carcass wrote:

a and b are integers greater than zero.

 Quantity A Quantity B $$\frac{a}{b}$$ $$a^2$$

Another approach is to use matching operations (my favorite Quantitative Comparison strategy)

Given:
Quantity A: a/b
Quantity B: a²

Since we're told b is POSITIVE, we can safely multiply both quantities by b to get:
Quantity A: a
Quantity B: a²b

Since we're told a is POSITIVE, we can safely divide both quantities by a to get:
Quantity A: 1
Quantity B: ab

At this point we can see that...
- if a = 1 and b = 1, but then the two quantities are equal
- if a = 2 and b = 2, but then Quantity B is greater

RELATED VIDEO FROM MY COURSE

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Brent Hanneson – Creator of greenlighttestprep.com  Moderator Joined: 20 Aug 2020
Posts: 49
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Kudos [?]: 47  , given: 0

Re: a and b are integers greater than zero. [#permalink]
2
KUDOS
GreenlightTestPrep wrote:

Another approach is to use matching operations (my favorite Quantitative Comparison strategy)

Given:
Quantity A: a/b
Quantity B: a²

Since we're told b is POSITIVE, we can safely multiply both quantities by b to get:
Quantity A: a
Quantity B: a²b

Since we're told a is POSITIVE, we can safely divide both quantities by a to get:
Quantity A: 1
Quantity B: ab

At this point we can see that...
- if a = 0.5 and b = 0.5, but then Quantity A is greater
- if a = 2 and b = 2, but then Quantity B is greater

Even though the answer is right, we shouldn't plug-in decimals, since we have the condition that $$a$$ and $$b$$ are integers.
GRE Instructor Joined: 10 Apr 2015
Posts: 3915
Followers: 165

Kudos [?]: 4782 , given: 70

Re: a and b are integers greater than zero. [#permalink]
Expert's post
Even though the answer is right, we shouldn't plug-in decimals, since we have the condition that $$a$$ and $$b$$ are integers.

Good point!
I edited my solution so that we test a = 1 and b = 1 instead.

Kudos for you!!!!
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Brent Hanneson – Creator of greenlighttestprep.com  Re: a and b are integers greater than zero.   [#permalink] 21 Aug 2020, 06:54
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