GMAT Paper Tests
If x is an integer and y = 3x + 2, which of the following CANNOT be a divisor of y?
A. 4
B. 5
C. 6
D. 7
E. 8
OA C
If x is an integer and y = 3x + 2, which of the following CANNOT be a divisor of y?
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A lotof integer properties questions can be answered by testing values. So, let's do that here.
KEY: x is an integer
So, if x = 1, then y = 3(1) + 2 = 5. Since 5 is a divisor of 5, we can ELIMINATE C
If x = 2, then y = 3(2) + 2 = 8. Since 4 and 8 are both divisors of 8, we can ELIMINATE A and E
If x = 3, then y = 3(3) + 2 = 11. Doesn't help us
If x = 4, then y = 3(4) + 2 = 14. Since 7 is a divisor of 14, we can ELIMINATE D
By the process of elimination, the correct answer is C
Cheers,
Brent