Determine the sum or difference in the given clock arithmetic.
-2 + (4 - 5) (clock 6)
A) 4
B) 2
C) 1
D) 3

Question

Quizplus · Accepted Answer

In clock arithmetic (modular arithmetic), we calculate within a set range. Here, the clock is 6, so we work modulo 6. First, calculate inside the parentheses: 4 - 5 = -1. In clock 6, -1 is equivalent to 5 (since -1 + 6 = 5). Now, add 2 + 5 = 7. In clock 6, 7 is equivalent to 1 (since 7 - 6 = 1). Thus, the answer is 1.

Determine the Sum or Difference in the Given Clock Arithmetic