M7MBA wrote:When positive integer W is divided by 4233, the remainder is 61. What is the remainder when 2W is divided by 83?
A) 11
B) 12
C) 39
D) 44
E) 61
IMPORTANT:
If N divided by D leaves remainder R, then the possible values of N are R, R+D, R+2D, R+3D,. . . etc.
For example, if k divided by 5 leaves a remainder of 1, then the possible values of k are: 1, 1+5, 1+(2)(5), 1+(3)(5), 1+(4)(5), . . . etc.
So, for this question, we're told that, when positive integer W is divided by 4233, the remainder is 61.
This means the possible values of W are: 61, 61 + 4233, 61 + (2)(4233), 61 + (3)(4233), 61 + (4)(4233), . . . etc.
So, rather than test much bigger values of W, let's see what happens when W = 61
If W = 61, then 2W = 2(61) = 122
What is the remainder when 2W is divided by 83?
83 divides into 122 one time with remainder 39
Answer: C
Cheers,
Brent
