EduFarming
Your list · 0हिं

Type at least two letters. Press Esc to close.

↑↓ navigate↵ openTAB cycle filter

Modulo Arithmetic & Congruence · Question 14 of 97

Question 14

MediumOriginal question

A train leaves at 22:00 on a 24-hour clock, and the journey takes 39 hours. At what hour does it arrive?

Options for question 14

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. A 24-hour clock works modulo 24: 22+39=6122 + 39 = 61.

  2. 61=24×2+1361 = 24 \times 2 + 13, so it arrives at 13:00, two days later.

Worth noting

15 is 39 mod 2439 \bmod 24, the length of the journey alone.

Concept
The 24-hour clock
Typical time
90 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.