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x is an integer greater than 3.

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x is an integer greater than 3. [#permalink] New post 11 Dec 2017, 10:01
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Question Stats:

54% (00:36) correct 45% (00:31) wrong based on 11 sessions
x is an integer greater than 3.

Quantity A
Quantity B
The number of even factors of 2x
The number of odd factors of 3x


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.
[Reveal] Spoiler: OA

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Re: x is an integer greater than 3. [#permalink] New post 10 Jan 2018, 21:08
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If we want to find a number of factors of any number we have to follow next steps:
1. We need to make prime factorization and identify their powers
2. And then this formula can help us (x+1)(y+1)(z+1), x,y,z are prime’s powers

Example, 5^2*3^1* 2^1=150, so (2+1)(1+1)(1+1)
Total number of factors of 150 including 1 and 150 itself is (2+1)(1+1)(1+1)=3*2*2 = 12 factors

About our questions, I think we can test some numbers,
if x=4 then the numbers of even factors of 2x is 4 and the number of odd factors of 3x is 2, in this scenario quantity A is bigger than B
if x=5 then the numbers of even factors 2x is 2 and the number of odd factors of 3x is 4, in this scenario quantity B is bigger than A
Re: x is an integer greater than 3.   [#permalink] 10 Jan 2018, 21:08
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x is an integer greater than 3.

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