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# n is a positive integer, x = 7n + 2, and y = 6n + 3.

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Retired Moderator
Joined: 07 Jun 2014
Posts: 4803
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
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Kudos [?]: 3037 [1] , given: 394

n is a positive integer, x = 7n + 2, and y = 6n + 3. [#permalink]  10 May 2016, 07:20
1
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Expert's post
00:00

Question Stats:

78% (00:55) correct 21% (00:49) wrong based on 210 sessions
n is a positive integer, $$x = 7n + 2$$, and $$y = 6n + 3$$.

 Quantity A Quantity B The ones digit of x + y 5

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: 3
Page: 62
[Reveal] Spoiler: OA

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Sandy
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Retired Moderator
Joined: 07 Jun 2014
Posts: 4803
GRE 1: Q167 V156
WE: Business Development (Energy and Utilities)
Followers: 175

Kudos [?]: 3037 [4] , given: 394

Re: n is a positive integer, x = 7n + 2, and y = 6n + 3. [#permalink]  10 May 2016, 07:25
4
KUDOS
Expert's post
Explanation

In the question, you are given that x = 7n + 2 and y = 6n + 3. Substituting the given expressions for x and y in Quantity A, you get x + y = 13n + 5.

Using trial and error, you can compare Quantity A, the ones digit of 13n + 5, and Quantity B, 5, by plugging in a few values for the positive integer n.

If n = 1, then x + y = 18 and the ones digit is 8, which is greater than 5. So in this case Quantity A is greater than Quantity B.
If n = 2, then x + y = 31 and the ones digit is 1, which is less than 5. So in this case Quantity B is greater than Quantity A.

Since in one case Quantity A is greater than Quantity B, and in the other case Quantity B is greater than Quantity A, you can conclude that the correct answer is Choice D.
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Sandy
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Manager
Joined: 23 Jan 2016
Posts: 133
Followers: 4

Kudos [?]: 150 [1] , given: 15

Re: n is a positive integer, x = 7n + 2, and y = 6n + 3. [#permalink]  14 May 2016, 22:00
1
KUDOS
x + y = 13n + 5.

if n = 10 then the unit digit will be 5 and if n=1 the unit digit will be 8

Intern
Joined: 24 Feb 2018
Posts: 13
Followers: 0

Kudos [?]: 9 [2] , given: 6

Re: n is a positive integer, x = 7n + 2, and y = 6n + 3. [#permalink]  24 Feb 2018, 18:56
2
KUDOS
sandy wrote:
n is a positive integer, x = 7n + 2, and y = 6n + 3.

 Quantity A Quantity B The ones of x + y 5

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: 3
Page: 62

Substitute 1 and the statement becomes equal. Substitute 2 then B is greater than A.
Ans - D
booyah!
Intern
Joined: 04 Jul 2018
Posts: 4
Followers: 1

Kudos [?]: 11 [1] , given: 3

Re: n is a positive integer, x = 7n + 2, and y = 6n + 3. [#permalink]  05 Jul 2018, 14:52
1
KUDOS
Why did they just word this "the ones"? I had no idea what exactly it was asking for.
Founder
Joined: 18 Apr 2015
Posts: 13918
GRE 1: Q160 V160
Followers: 315

Kudos [?]: 3687 [1] , given: 12942

Re: n is a positive integer, x = 7n + 2, and y = 6n + 3. [#permalink]  06 Jul 2018, 09:51
1
KUDOS
Expert's post
Manager
Joined: 08 Dec 2018
Posts: 94
Followers: 0

Kudos [?]: 44 [0], given: 30

Re: n is a positive integer, x = 7n + 2, and y = 6n + 3. [#permalink]  10 Mar 2019, 06:58
improper wording leads to error as well as wastage of time. So, kindly use precise words
GRE Instructor
Joined: 10 Apr 2015
Posts: 3909
Followers: 164

Kudos [?]: 4777 [1] , given: 70

Re: n is a positive integer, x = 7n + 2, and y = 6n + 3. [#permalink]  10 Mar 2019, 08:24
1
KUDOS
Expert's post
I have changed "ones" to "units digit"

Cheers,
Brent
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Brent Hanneson – Creator of greenlighttestprep.com

Re: n is a positive integer, x = 7n + 2, and y = 6n + 3.   [#permalink] 10 Mar 2019, 08:24
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