Last visit was: 30 Dec 2025, 14:36 It is currently 30 Dec 2025, 14:36
Decision Tracker
My Rewards
New comers' posts
New posts
Unanswered

Close

GRE Prep Club Daily Prep

Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track
Your Progress

every week, we’ll send you an estimated GRE score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.

Go to My Error Log Learn more
Close

Request Expert Reply

Confirm Cancel
PREVIOUS TOPIC
NEXT TOPIC

216 = 2^x3^y x and y are integers.

Tags :
Find Similar Topics  About  Add a Tag

Show Tags
Hide Tags

User avatar
sandy
Retired Moderator
Joined: 07 Jun 2014
Posts: 4815
Own Kudos [?]: 11910 [3]
Given Kudos: 0
GRE 1: Q167 V156
WE:Business Development (Energy and Utilities)
Send PM
216 = 2^x3^y x and y are integers. [#permalink] New post   25 Aug 2018, 14:55
Expert Reply
3
Bookmarks
00:00

Question Stats:

84% (00:40) correct 15% (00:39) wrong based on 88 sessions

Hide Show timer Statistics

\(216 = 2^x3^y\)
x and y are integers.

Quantity A
Quantity B
x
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.
ShowHide Answer
Official Answer
C
User avatar
P
GreenlightTestPrep
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Own Kudos [?]: 12580 [0]
Given Kudos: 136
Send PM

Top Member of the Month
Re: 216 = 2^x3^y x and y are integers. [#permalink] New post   29 Aug 2018, 07:30
sandy wrote:
\(216 = 2^x3^y\)
x and y are integers.

Quantity A
Quantity B
x
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.


This questions begs for some prime factorization

216 = (2)(2)(2)(3)(3)(3)
= (2^3)(3^3)

This means: (2^3)(3^3) = (2^x)(3^y)
At this point, we can see that x = 3 and y = 3
In other words, Quantity A = Quantity B

Answer: C

Cheers,
Brent
RELATED VIDEO FROM OUR COURSE
avatar
B
mariogarciaLA
Intern
Intern
Joined: 17 Feb 2023
Posts: 7
Own Kudos [?]: 6 [1]
Given Kudos: 2
Send PM
Re: 216 = 2^x3^y x and y are integers. [#permalink] New post   23 Feb 2023, 18:20
1
My approach was playing with numbers - I tried seeing if I could get a case where I could make X and Y the same and landed on 3. More lucky than anything else. I will prime factor next time.
User avatar
G
HarishKumar
GRE Instructor
Joined: 24 Dec 2018
Posts: 1106
Own Kudos [?]: 1491 [1]
Given Kudos: 25
Send PM
Re: 216 = 2^x3^y x and y are integers. [#permalink] New post   05 Mar 2024, 19:54
1
Since 2 and 3 are prime numbers raised to powers and equated to 216, we can be sure that \(2^x3^y\) represent the prime factorization of 216.

216 = 9 x 24

9 = 3 x 3

24 = 6 x 4 => (2 x 3)(2 x 2)

There are three 3s and three 2s

or

\(216 = 2^3 3^3\)

x=3, y=3

BOTH quantities are EQUAL

The answer is C.
Prep Club for GRE Bot
gmatclubot
Re: 216 = 2^x3^y x and y are integers. [#permalink]
05 Mar 2024, 19:54
Moderators:
adewale223
GRE Instructor
137 posts
bronaugust
GRE Forum Moderator
37 posts
BrushMyQuant
Moderator
1141 posts
VibhuAnurag
GRE Instructor
234 posts
Nsp10
Moderator
40 posts
tyrant100
GRE Forum Moderator
126 posts

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Main navigation

Partners

GRE Resources

www.ets.org/gre | About | Terms and Conditions and Privacy Policy | Prep Club for GRE Rules | Contact