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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
216 = 2^x3^y x and y are integers.
[#permalink]
25 Aug 2018, 14:55
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.
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.
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.
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: 216 = 2^x3^y x and y are integers.
[#permalink]
29 Aug 2018, 07:30
29 Aug 2018, 07:30
sandy wrote:
\(216 = 2^x3^y\)
x and y are integers.
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.
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
Re: 216 = 2^x3^y x and y are integers.
[#permalink]
23 Feb 2023, 18:20
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.
