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 GMAT 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.

f(x) = m where m is the number of distinct prime factors of [#permalink]
30 Jul 2018, 10:32

Expert's post

00:00

Question Stats:

85% (00:38) correct
15% (00:17) wrong based on 20 sessions

\(f(x) = m\) where m is the number of distinct prime factors of x.

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.

Re: f(x) = m where m is the number of distinct prime factors of [#permalink]
02 Aug 2018, 15:45

1

This post received KUDOS

Expert's post

sandy wrote:

\(f(x) = m\) where m is the number of distinct prime factors of x.

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

_________________

Brent Hanneson – Creator of greenlighttestprep.com Sign up for our free GRE Question of the Dayemails

Re: f(x) = m where m is the number of distinct prime factors of [#permalink]
12 Aug 2018, 07:01

Expert's post

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. _________________

Sandy If you found this post useful, please let me know by pressing the Kudos Button