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.
f(x) = m where m is the number of distinct prime factors of
[#permalink]
30 Jul 2018, 10:32
30 Jul 2018, 10:32
Expert Reply
1
Bookmarks
00:00
Question Stats:
93% (00:38) correct
6% (00:54) wrong based on 112 sessions
Hide Show timer Statistics
\(f(x) = m\) where m is the number of distinct prime factors of x.
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 |
\(f(30)\) |
\(f(64)\) |
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.
Retired Moderator
Joined: 10 Apr 2015
Posts: 6218
Given Kudos: 136
Re: f(x) = m where m is the number of distinct prime factors of
[#permalink]
02 Aug 2018, 15:45
02 Aug 2018, 15:45
1
sandy wrote:
\(f(x) = m\) where m is the number of distinct prime factors of x.
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 |
\(f(30)\) |
\(f(64)\) |
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.
The key word here is DISTINCT.
Given:
Quantity A: number of DISTINCT prime factors of 30
Quantity B: number of DISTINCT prime factors of 64
This calls for some prime factorization.
30 = (2)(3)(5). So, 30 has 3 distinct prime factors (2, 3 and 5)
64 = (2)(2)(2)(2)(2)(2). So, 64 has 1 distinct prime factor (2)
So, we get:
Quantity A: 3
Quantity B:1
Answer: A
RELATED VIDEO
Re: f(x) = m where m is the number of distinct prime factors of
[#permalink]
12 Aug 2018, 07:01
12 Aug 2018, 07:01
Expert Reply
Explanation
The problem indicates that f(x) = m where m is the number of distinct (or different) prime factors of x. For example, if x = 6, 6 has two distinct prime factors: 2 and 3. Therefore, the corresponding answer (m value) would be 2.
For Quantity A, f(30): 30 has 3 distinct prime factors (2, 3, and 5), so f(30) = 3.
For Quantity B, f(64): 64 is made of the prime factors 2, 2, 2, 2, 2, and 2). This is only one distinct prime factor, so f(64) = 1.
Quantity A is greater.
The problem indicates that f(x) = m where m is the number of distinct (or different) prime factors of x. For example, if x = 6, 6 has two distinct prime factors: 2 and 3. Therefore, the corresponding answer (m value) would be 2.
For Quantity A, f(30): 30 has 3 distinct prime factors (2, 3, and 5), so f(30) = 3.
For Quantity B, f(64): 64 is made of the prime factors 2, 2, 2, 2, 2, and 2). This is only one distinct prime factor, so f(64) = 1.
Quantity A is greater.
