Bunuel wrote:
FRESH GMAT CLUB TESTS QUESTION
If positive integer x is divisible by 330, x must be divisible by which of the following?
I. x/330
II. 330 - x
III. 330 + x
A. I only
B. II only
C. III only
D. I and III only
E. I, II and III
Asked: If positive integer x is divisible by 330, x must be divisible by which of the following?
x=330k where k is an integer
I. x/330
x/330 = k; x=330k is divisible byk
MUST BE TRUE
II. 330 - x
330 - x = 330 - 330k = 330(1-k); x may not be divisible by (1-k)
COULD BE TRUE
III. 330 + x
330 + x = 330 + 330k = 330(1+k); x may not be divisible by (k+1)
COULD BE TRUE
IMO A
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