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Modulo Arithmetic & Congruence · Question 90 of 97

Question 90

MediumOriginal question

Read the two statements and choose the correct option.

I. Two different residue classes modulo nn have no integer in common.

II. Every integer lies in one of the residue classes modulo nn.

Options for question 90

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. An integer has exactly one remainder on division by nn, so it is in exactly one class: I is true.

  2. And it does have a remainder, so it is in some class: II is true. Together the classes split the integers into nn parts.

Concept
Residue classes split the integers
Typical time
90 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.