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Modulo Arithmetic & Congruence · Question 7 of 97

Question 7

EasyOriginal question

What is 125 mod 9125 \bmod 9?

Options for question 7

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. Divide by 9 and keep the remainder, which must be one of 0,1,…,80, 1, \dots, 8.

  2. 125=9×(13)+8125 = 9 \times (13) + 8, so the answer is 8.

Worth noting

13 is the quotient, not the remainder.

Concept
The remainder a mod n
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.