In a clock arithmetic system, if it is currently 9 o'clock, what time will it be

Practice Questions

Q1
In a clock arithmetic system, if it is currently 9 o'clock, what time will it be in 15 hours?
  1. 12 o'clock
  2. 1 o'clock
  3. 2 o'clock
  4. 3 o'clock

Questions & Step-by-Step Solutions

In a clock arithmetic system, if it is currently 9 o'clock, what time will it be in 15 hours?
  • Step 1: Start with the current time, which is 9 o'clock.
  • Step 2: Add the number of hours you want to move forward, which is 15 hours.
  • Step 3: Calculate the total time by adding 9 and 15. This gives you 24.
  • Step 4: Since we are using a 12-hour clock, we need to find the equivalent time in a 12-hour format. This is done using modular arithmetic.
  • Step 5: To find the equivalent time, calculate 24 mod 12. This means you divide 24 by 12 and find the remainder.
  • Step 6: 24 divided by 12 equals 2 with a remainder of 0. So, 24 mod 12 = 0.
  • Step 7: In a 12-hour clock system, 0 corresponds to 12 o'clock.
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