lw657 wrote:
x is an integer greater than 3.
Quantity A: The number of even factors of 2x
Quantity B: 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.
Let's
test some casescase i: If x = 4, then...
2x = 8, and the EVEN factors of 8 are: 2, 4, 8
3x = 12, and the ODD factors of 12 are: 1, 3
So, we get:
QUANTITY A: 3
QUANTITY B: 2
In this case,
Quantity A is greatercase ii: If x = 9, then...
2x = 18, and the EVEN factors of 18 are: 2, 6, 18
3x = 27, and the ODD factors of 9 are: 1, 3, 9, 27
So, we get:
QUANTITY A: 3
QUANTITY B: 4
In this case,
Quantity B is greaterAnswer: D
Cheers,
Brent