chiccufrazer1 wrote:
If a positive integer n, divided by 5 has a remainder 2, which of the following must be true
I. n is odd
II. n+1 cannot be a prime number
III. (n+2) divided by 7 has remainder 2
A. None
B. I only
C. I and II only
D. II and III only
E. I, II and III
We can express n as:
n = 5q + 2
Let’s now analyze each Roman numeral:
I. n is odd
If q = 2, then 5q + 2 = 12, so n does not have to be odd.
II. n+1 cannot be
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