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Modulo Arithmetic & Congruence · Question 4 of 97

Question 4

EasyOriginal question

It is 15:00 on a 24-hour clock. What hour will it show 100 hours later?

Options for question 4

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. A 24-hour clock works modulo 24: 15+100=11515 + 100 = 115.

  2. 115=24×4+19115 = 24 \times 4 + 19, so it shows 19:00.

Worth noting

4 is 100 mod 24100 \bmod 24, forgetting the clock started at 15:00.

Concept
The 24-hour clock
Typical time
60 s
Your time
—
The rule this testsThe modulo operation
Practise this chapter →

Ten questions from Modulo Arithmetic & Congruence, at your own pace.

Practise this chapter →

Ten questions from Modulo Arithmetic & Congruence, at your own pace.