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# y > 4

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Founder
Joined: 18 Apr 2015
Posts: 12020
Followers: 254

Kudos [?]: 2997 [1] , given: 11253

y > 4 [#permalink]  07 Sep 2017, 14:22
1
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Expert's post
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Question Stats:

73% (00:40) correct 26% (00:36) wrong based on 261 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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Founder
Joined: 18 Apr 2015
Posts: 12020
Followers: 254

Kudos [?]: 2997 [1] , given: 11253

Re: y > 4 [#permalink]  07 Sep 2017, 14:40
1
KUDOS
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

B is the answer
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Intern
Joined: 26 Aug 2017
Posts: 30
Followers: 0

Kudos [?]: 25 [4] , given: 7

Re: y > 4 [#permalink]  12 Sep 2017, 08:34
4
KUDOS
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
Posts: 3532
Followers: 133

Kudos [?]: 3995 [3] , given: 65

Re: y > 4 [#permalink]  27 Mar 2019, 17:15
3
KUDOS
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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Intern
Joined: 13 Jul 2019
Posts: 9
Followers: 0

Kudos [?]: 6 [1] , given: 5

Re: y > 4 [#permalink]  14 Jul 2019, 02:00
1
KUDOS
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 2994 times ]

Founder
Joined: 18 Apr 2015
Posts: 12020
Followers: 254

Kudos [?]: 2997 [0], given: 11253

Re: y > 4 [#permalink]  14 Jul 2019, 02:02
Expert's post
Great graph solution.

Thank you
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Intern
Joined: 14 Sep 2019
Posts: 49
Followers: 0

Kudos [?]: 11 [0], given: 4

Re: y > 4 [#permalink]  17 Sep 2019, 02:16
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: 3532
Followers: 133

Kudos [?]: 3995 [1] , given: 65

Re: y > 4 [#permalink]  17 Sep 2019, 05:00
1
KUDOS
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
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GRE Instructor
Joined: 10 Apr 2015
Posts: 3532
Followers: 133

Kudos [?]: 3995 [0], given: 65

Re: y > 4 [#permalink]  16 Feb 2020, 09:36
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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Re: y > 4   [#permalink] 16 Feb 2020, 09:36
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# y > 4

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