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In a clock system, if it is currently 9 o'clock, what time will it be in 15 hour

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Question: In a clock system, if it is currently 9 o\'clock, what time will it be in 15 hours?

Options:

  1. 12 o\'clock
  2. 11 o\'clock
  3. 1 o\'clock
  4. 10 o\'clock

Correct Answer: 1 o\'clock

Solution:

15 hours from 9 o\'clock is calculated as (9 + 15) mod 12 = 24 mod 12 = 0, which is 12 o\'clock.

In a clock system, if it is currently 9 o'clock, what time will it be in 15 hour

Practice Questions

Q1
In a clock system, if it is currently 9 o'clock, what time will it be in 15 hours?
  1. 12 o'clock
  2. 11 o'clock
  3. 1 o'clock
  4. 10 o'clock

Questions & Step-by-Step Solutions

In a clock 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 15 hours to the current time: 9 + 15 = 24.
  • Step 3: Since a clock only goes up to 12, we need to find the equivalent time on a 12-hour clock. We do this by using the modulo operation: 24 mod 12.
  • Step 4: Calculate 24 mod 12, which gives us 0.
  • Step 5: In a 12-hour clock system, 0 corresponds to 12 o'clock.
  • Time Calculation – Understanding how to calculate time on a 12-hour clock system using modular arithmetic.
  • Modular Arithmetic – Applying the modulus operation to determine the equivalent time after a certain number of hours.
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