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Modulo Arithmetic & Congruence · Question 82 of 97

Question 82

EasyOriginal question

In Z6\mathbb{Z}_6, the residue classes modulo 6, what is [4]+[5][4] + [5]?

Options for question 82

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. Add the representatives and reduce: 4+5=94 + 5 = 9.

  2. 9 mod 6=39 \bmod 6 = 3, so [4]+[5]=[3][4] + [5] = [3].

Worth noting

[9][9] is the same class as [3][3] but is not written with a representative from 0 to 5.

Concept
Adding residue classes
Typical time
60 s
Your time
—
The rule this testsResidue classes
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.