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Modulo Arithmetic & Congruence · Question 2 of 97

Question 2

EasyOriginal question

A 12-hour clock shows 9 o'clock. Which hour will it show 50 hours later?

Options for question 2

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. The hour repeats every 12 hours, so work modulo 12.

  2. 9+50=599 + 50 = 59 and 59=12×4+1159 = 12 \times 4 + 11, so the clock shows 11.

Worth noting

2 is 50 mod 1250 \bmod 12 alone, forgetting the clock started at 9.

Concept
Clock arithmetic
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.