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Founder  Joined: 18 Apr 2015
Posts: 6885
Followers: 114

Kudos [?]: 1338 , given: 6306

n is an integer greater than zero [#permalink]
Expert's post 00:00

Question Stats: 61% (00:59) correct 38% (00:34) wrong based on 54 sessions
n is an integer greater than zero

 Quantity A Quantity B The number of different prime factors of 9n The number of different prime factors of 8n

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.
[Reveal] Spoiler: OA

_________________

Last edited by Carcass on 11 Jun 2018, 08:55, edited 1 time in total. Founder  Joined: 18 Apr 2015
Posts: 6885
Followers: 114

Kudos [?]: 1338  , given: 6306

Re: n is an integer greater than zero [#permalink]
1
KUDOS
Expert's post
Explanation

Working smart on this kind of question: we do have 9n vs 8n, which means you do have at least on 3 on one side and at least one 2 on the other side. But no more than this.

if you look at n and use for instance 3, then we do have 3 and 3; 2 and 3. Hence, B is bigger.

If you consider 2, we do have 3 and 2, and 2 on the other side. A is greater.

_________________ Intern Joined: 08 Apr 2018
Posts: 44
Followers: 0

Kudos [?]: 15  , given: 16

Re: n is an integer greater than zero [#permalink]
1
KUDOS
Carcass wrote:
n is an integer greater than zero

 Quantity A Quantity B The number of different prime factors of 9n The number of different prime factors of 8n

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

Hello @carcass, please can you put the ABCD option in some of the questions you post? There are several questions you have posted that do not have the correct option. Is your answer correct is not a valid option for a standardized test, please. Intern Joined: 21 Nov 2017
Posts: 33
Followers: 0

Kudos [?]: 11  , given: 0

Re: n is an integer greater than zero [#permalink]
1
KUDOS
n > o, integer
. n = 1 --> 9n = 9 = 3^2 --> Quantity A = 1
8n = 8 = 2^3 --> Quantity B = 1
--> A = B
. n = 2 --> 9n = 9*2 = 3^2*2 --> Quantity A = 2
8n = 8*2 = 2^4 --> Quantity B = 1
--> A > B

Key: D GRE Instructor Joined: 10 Apr 2015
Posts: 1968
Followers: 60

Kudos [?]: 1797  , given: 9

Re: n is an integer greater than zero [#permalink]
2
KUDOS
Expert's post
Carcass wrote:
n is an integer greater than zero

 Quantity A Quantity B The number of different prime factors of 9n The number of different prime factors of 8n

A) Quantity A is greater.
B) Quantity B is greater.
C) The two quantities are equal.
D) The relationship cannot be determined from the information given.

9n = (3)(3)(n)
8n = (2)(2)(2)(n)

We can see that, if n = 3, we get:
9n = (3)(3)(3)
8n = (2)(2)(2)(3)
In this case, 9n has ONE prime factor, and 8n has TWO prime factors
In other words, Quantity B is greater

Conversely, if n = 2, we get:
9n = (3)(3)(2)
8n = (2)(2)(2)(2)
In this case, 9n has TWO prime factors, and 8n has ONE prime factor
In other words, Quantity A is greater

Cheers,
Brent
_________________

Brent Hanneson – Creator of greenlighttestprep.com  Re: n is an integer greater than zero   [#permalink] 23 May 2019, 08:16
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