Carcass wrote:
n is an integer greater than zero
Quantity A |
Quantity B |
The number of different prime factors of 9n |
The number of different prime factors of 8n |
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.
9n = (3)(3)(n)
8n = (2)(2)(2)(n)
We can see that, if
n = 3, we get:
9n = (3)(3)(
3)
8n = (2)(2)(2)(
3)
In this case, 9n has ONE prime factor, and 8n has TWO prime factors
In other words,
Quantity B is greaterConversely, if
n = 2, we get:
9n = (3)(3)(
2)
8n = (2)(2)(2)(
2)
In this case, 9n has TWO prime factors, and 8n has ONE prime factor
In other words,
Quantity A is greaterAnswer: D
Cheers,
Brent
_________________
Brent Hanneson – Creator of greenlighttestprep.com
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