bubblynyg wrote:For positive integers m and n, when m is divided by n the remainder is 4. Which of the following CANNOT be the value of n?
(A) 3 (B) 5 (C) 7 (D) 12 (E) 16
Rich's solution illustrates the following rule:
When a positive integer is divided by positive integer d, the greatest possible remainder is d-1.
Applying this rule to answer choice
A, we get:
When positive integer m is divided by positive integer n=3, the greatest possible remainder is n-1 = 3-1 = 2.
Since n=3 cannot yield a remainder of 4, the value of n cannot be 3.
The correct answer is
A.
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