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.
p is a prime number greater than 2.
[#permalink]
31 Aug 2020, 10:17
31 Aug 2020, 10:17
2
Expert Reply
10
Bookmarks
00:00
Question Stats:
44% (00:52) correct
55% (00:51) wrong based on 203 sessions
Hide Show timer Statistics
p is a prime number greater than 2.
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.
Quantity A |
Quantity B |
The number of distinct prime factors of 27p |
The number of distinct prime factors of 49p |
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.
Re: p is a prime number greater than 2.
[#permalink]
31 Aug 2020, 10:17
31 Aug 2020, 10:17
1
Expert Reply
Post A Detailed Correct Solution For The Above Questions And Get A Kudos.
Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!
For more theory and practice see our GRE - Math Book
Question From Our New Project: GRE Quant Challenge Questions Daily - NEW EDITION!
For more theory and practice see our GRE - Math Book
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
p is a prime number greater than 2.
[#permalink]
31 Aug 2020, 14:15
31 Aug 2020, 14:15
2
2
Bookmarks
Carcass wrote:
p is a prime number greater than 2.
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.
Quantity A |
Quantity B |
The number of distinct prime factors of 27p |
The number of distinct prime factors of 49p |
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.
First recognize that 27 = (3)(3)(3)
And 49 = (7)(7)
Let's test some possible values of p
case i: If p = 5, we get:
Quantity A: 27p = (3)(3)(3)(5). So, 27p has 2 distinct prime factors (3 and 5)
Quantity B: 49p = (7)(7)(5). So, 49p has 2 distinct prime factors (7 and 5)
In this case, Quantity A = Quantity B
case ii: If p = 7, we get:
Quantity A: 27p = (3)(3)(3)(7). So, 27p has 2 distinct prime factors (3 and 7)
Quantity B: 49p = (7)(7)(7). So, 49p has 1 distinct prime factor (7)
In this case, Quantity A is greater
Answer: D
RELATED VIDEO FROM OUR COURSE
