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.
n is a prime >3
[#permalink]
07 Oct 2022, 03:00
07 Oct 2022, 03:00
Expert Reply
2
Bookmarks
00:00
Question Stats:
93% (00:44) correct
6% (01:57) wrong based on 31 sessions
Hide Show timer Statistics
n is a prime >3
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 |
Number of distinct prime factors of 2n |
Number of distinct prime factors of 64n |
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.
Part of the Skill Builder Project
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials
GRE Geometry Formulas
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials
GRE Geometry Formulas
GRE - Math Book
n is a prime >3
[#permalink]
07 Oct 2022, 04:20
07 Oct 2022, 04:20
1
Carcass wrote:
n is a prime >3
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 |
Number of distinct prime factors of 2n |
Number of distinct prime factors of 64n |
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.
Part of the Skill Builder Project
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials
GRE Geometry Formulas
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials
GRE Geometry Formulas
GRE - Math Book
let's suppose n=5
Quantity A |
Quantity B |
Number of distinct prime factors of 2n |
Number of distinct prime factors of 64n |
Quantity A |
Quantity B |
Number of distinct prime factors of 2*5 |
Number of distinct prime factors of 8*8*5 |
Quantity A |
Quantity B |
Number of distinct prime factors of 2*5 |
Number of distinct prime factors of 2^3*2^3*5 |
Quantity A |
Quantity B |
Number of distinct prime factors of 2*5 |
Number of distinct prime factors of 2^6*5 |
Quantity A |
Quantity B |
Number of distinct prime factors: 2 and 5 |
Number of distinct prime factors: 2 and 5 |
Option C.
Although this is a particular case, it is valid for any prime number, due to the fact that five, and any other do not have more factors than 1 and itself.
GRE Whiz Representative
Joined: 25 May 2022
Posts: 25
Given Kudos: 1
Re: n is a prime >3
[#permalink]
20 Oct 2022, 13:33
20 Oct 2022, 13:33
1
Expert Reply
'n' is prime greater than 3.
Quantity A:
2n is nothing but \(2 × prime\)
Quantity B:
64 can be written as \(2^6 × prime \)
Quantity A = Quantity B.
The answer is C.
Quantity A:
2n is nothing but \(2 × prime\)
- So it has 2 distinct primes.
Quantity B:
64 can be written as \(2^6 × prime \)
- So it has 2 distinct primes.
Quantity A = Quantity B.
The answer is C.
