For all positive integers m and v, the expression m v represents the remainder when m is divided by v. What is the value of (( 90 33 ) 17 ) - ( 99 (33 17)) ?
Options:
(A) 10
(B) 8
(C) 6
(D) 4
(E) 2 OK. Let's think. Some random thoughts first:
(( 90 33 ) 17 )
The remainder of 90 divided by 33 is 24;
The remainder of 24 divided by 17 is 7;
( 99 (33 17))
The remainder of 33 divided by 17 is 16;
7 - 3 = 4. The answer: (D).