Some mathematical operations are given below. Select the expression that is mathematically correct.
If A = 42, B = 63, and C = 84, what is the value of ((A + B) × C) mod 97?
Show answer & explanation
Correct answer: B
Explanation
A = 42, B = 63, C = 84
((A + B) × C) mod 97
Step 1: A + B
42 + 63 = 105
Step 2: 105 × 84
105 × 84 = 8820
Step 3: 8820 mod 97
97 × 90 = 8730
8820 − 8730 = 90
Therefore,
((A + B) × C) mod 97 = 90