Question

choose the correct answer for the following example (what time will it be in 17 hours from 8 oclock). example 2 the classic example of modular arithmetic is the hours on a clock; the numbers keep cycling and starting over at the beginning. if it is now 8:00, and we want to know where the hour hand will be 17 hours from now, all we need is this simple formula: answer = (start_time + hours) % 12; a 12 b 1 c 2 d 3

Explanation:

Step1: Substitute values into formula

Here, start_time = 8 and hours = 17. So we calculate $(8 + 17)\%12$. First, $8+17=25$.

Step2: Calculate the modulo

We find the remainder when 25 is divided by 12. $25\div12 = 2$ with a remainder of 1. So $25\%12=1$.

Answer:

B. 1