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The sum of distinct prime factors
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Updated on: 11 Jun 2022, 22:29
Updated on: 11 Jun 2022, 22:29
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Question Stats:
75% (00:47) correct
25% (01:13) wrong based on 44 sessions
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Quantity A |
Quantity B |
The sum of distinct prime factors of \(12^2\) |
The sum of distinct prime factors of \(50^3 \) |
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
Part of the project: GRE Quantitative Comparison & Problem Solving Challenge
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~
GRE Math Essentials for a TOP Quant Score - Q170!!! (2021)
GRE Geometry Formulas for a Q170
GRE - Math Book
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Re: The sum of distinct prime factors
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06 May 2022, 06:19
06 May 2022, 06:19
3
Carcass wrote:
Quantity A |
Quantity B |
The sum of distinct prime factors of \(12^2\) |
The sum of distinct prime factors of \(50^3 \) |
\(12 = (2)(2)(3)\), which means \(12^2 = [(2)(2)(3)][(2)(2)(3)]\)
So, the sum of the distinct prime factors \(= 2 + 3 = 5\)
\(50 = (2)(5)(5)\), which means \(50^3 = [(2)(5)(5)][(2)(5)(5)][(2)(5)(5)]\)
So, the sum of the distinct prime factors \(= 2 + 5 = 7\)
Answer: B
Re: The sum of distinct prime factors
[#permalink]
11 Jun 2022, 11:50
11 Jun 2022, 11:50
GreenlightTestPrep wrote:
Carcass wrote:
Quantity A |
Quantity B |
The sum of distinct prime factors of \(12^2\) |
The sum of distinct prime factors of \(50^3 \) |
\(12 = (2)(2)(3)\), which means \(12^2 = [(2)(2)(3)][(2)(2)(3)]\)
So, the sum of the distinct prime factors \(= 2 + 3 = 5\)
\(50 = (2)(5)(5)\), which means \(50^3 = [(2)(5)(5)][(2)(5)(5)][(2)(5)(5)]\)
So, the sum of the distinct prime factors \(= 2 + 5 = 7\)
Answer: B
This was my answer as well, however the the correct answer appears as "C"
Carcass, care to share the explanation on this one? Thanks
