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TAGS: Founder  Joined: 18 Apr 2015
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Expert's post 00:00

Question Stats: 70% (00:39) correct 29% (00:38) wrong based on 156 sessions
$$y > 4$$

 Quantity A Quantity B $$\frac{3y+2}{5}$$ $$y$$

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.

Practice Questions
Question: 6
Page: 113
Difficulty: medium
[Reveal] Spoiler: OA

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GRE Prep Club Members of the Month: Each member of the month will get three months free access of GRE Prep Club tests. Founder  Joined: 18 Apr 2015
Posts: 9651
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Kudos [?]: 2366  , given: 9155

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Expert's post
Explanation

Tricky question.

The stem says that y > 4 but it does not mention the fact that it could be an integer such as 5 or a fraction such as $$\frac{6}{1.4} = 4.2$$

If you substitute 5 to A the result is 3.4 that is less than 4. OR 4.2 the result is 2.92 that is less than 4.

So, no matter what quantity B is > than quantity A

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GRE Prep Club Members of the Month: Each member of the month will get three months free access of GRE Prep Club tests. Intern Joined: 26 Aug 2017
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Multiply both sides by 5 and then subtract 3y. You get 2 vs 2y, and since y > 4, quantity B will always be bigger GRE Instructor Joined: 10 Apr 2015
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Expert's post
Carcass wrote:
$$y > 4$$

 Quantity A Quantity B $$\frac{3y+2}{5}$$ $$y$$

We can solve this question using matching operations

Given:
Quantity A: $$\frac{3y+2}{5}$$
Quantity B: $$y$$

Multiply both quantities by 5 to get:
Quantity A: $$3y+2$$
Quantity B: $$5y$$

Subtract 3y from both quantities to get:
Quantity A: $$2$$
Quantity B: $$2y$$

Divide both quantities by 2 to get:
Quantity A: $$1$$
Quantity B: $$y$$

Since we're told that y > 4, we know that Quantity B is greater.

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Brent Hanneson – Creator of greenlighttestprep.com Intern Joined: 13 Jul 2019
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One can solve using graph
as below
both function meet at (1,1) ~ (y,f(y))
from point (1,1) f(y)=y is grater then f(y) = 3y+2 / 5

check attachment/picture
Attachments Untitled.png [ 15.28 KiB | Viewed 1557 times ]

Founder  Joined: 18 Apr 2015
Posts: 9651
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Kudos [?]: 2366 , given: 9155

Expert's post
Great graph solution.

Thank you
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Intern Joined: 14 Sep 2019
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Kudos [?]: 11 , given: 4

GreenlightTestPrep wrote:
Carcass wrote:
$$y > 4$$

 Quantity A Quantity B $$\frac{3y+2}{5}$$ $$y$$

We can solve this question using matching operations

Given:
Quantity A: $$\frac{3y+2}{5}$$
Quantity B: $$y$$

Multiply both quantities by 5 to get:
Quantity A: $$3y+2$$
Quantity B: $$5y$$

Subtract 3y from both quantities to get:
Quantity A: $$2$$
Quantity B: $$2y$$

Divide both quantities by 2 to get:
Quantity A: $$1$$
Quantity B: $$y$$

Since we're told that y > 4, we know that Quantity B is greater.

RELATED VIDEO FROM MY COURSE

Interesting approach! GRE Instructor Joined: 10 Apr 2015
Posts: 2789
Followers: 103

Kudos [?]: 3092  , given: 52

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Expert's post
Interesting approach!

Thanks! I think it's one of the most useful strategies for solving Quantitative Comparison questions.
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Brent Hanneson – Creator of greenlighttestprep.com

GRE Instructor Joined: 10 Apr 2015
Posts: 2789
Followers: 103

Kudos [?]: 3092 , given: 52

Expert's post
If y = 5, we get:
Quantity A: [3(5) + 2]/5
Quantity B: 5

Simplify to get:
Quantity A: 3.4
Quantity B: 5

So, Quantity B is greater (not Quantity A).
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Brent Hanneson – Creator of greenlighttestprep.com Re: y > 4   [#permalink] 16 Feb 2020, 09:36
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