Some mathematical operations are given below. Select the expression that is mathematically correct.
If A = 22, B = 33, and C = 44, what is the value of ((A + B) × C) mod 97?
Show answer & explanation
Correct answer: D
Explanation
1. First, perform the addition within the brackets:
(A + B) = 22 + 33 = 55
2. Now multiply the resulting sum by C:
55 × 44 = 2420
3. Finally, divide by 97 to find the remainder (mod):
2420/97
1. 97 × 24 = 2328
2. 2420 - 2328 = 92
Therefore, 2420 (mod 97) = 92. Correct answer: Option 92 is correct.