Understanding Clock Arithmetic

This video tutorial introduces clock arithmetic, explaining how numbers cycle back after 12 in a clock system. It covers the concept of modulo 12, demonstrating how to calculate remainders and congruence. The tutorial provides examples of modulo 12 arithmetic and illustrates two methods for adding numbers using this system. It concludes with practical examples of time calculations using modulo 12, helping viewers understand how to apply these concepts in real-world scenarios.

What happens to the time on a clock when it reaches 12:00?

• It continues to 13:00.

• It resets to 1:00.

• It stops at 12:00.

• It goes back to 11:00.

In clock arithmetic, what is the remainder when 27 is divided by 12?

• 4

• 1

• 2

• 3

What does 'n mod 12' represent in clock arithmetic?

• The quotient of n divided by 12

• The remainder when n is divided by 12

• The sum of n and 12

• The product of n and 12

Which of the following is a key concept in clock arithmetic?

• Multiplication of numbers

• Subtraction of numbers

• Addition of numbers

• Modulo operation

If 38 is divided by 12, what is the remainder?

• 1

• 2

• 3

• 4

How many complete rotations does the hour hand make in 36 hours?

• 1

• 3

• 2

• 4

Which method is NOT used to add numbers modulo 12?

• Use a clock to visualize the addition

• Multiply the numbers and divide by 12

• Add the numbers first, then divide by 12

• Divide each number by 12 and add the remainders

What is the result of 2 + 32 mod 12?

• 12

• 14

• 10

• 8

If it is 3:00 now, what time will it be in 53 hours?

• 4:00

• 9:00

• 8:00

• 5:00

What is the time 18 hours after 10:00?

• 2:00

• 4:00

• 8:00

• 6:00