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n is a prime >3
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07 Oct 2022, 03:00
07 Oct 2022, 03:00
Expert Reply
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Question Stats:
93% (00:46) correct
6% (01:57) wrong based on 33 sessions
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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.
