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Modulo Arithmetic & Congruence · Question 5 of 97

Question 5

EasyOriginal question

x mod 6=4x \bmod 6 = 4. What is (x+5) mod 6(x + 5) \bmod 6?

Options for question 5

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. x=6q+4x = 6q + 4, so x+5=6q+9=6(q+1)+3x + 5 = 6q + 9 = 6(q + 1) + 3.

  2. The remainder is 3.

Worth noting

9 is not a remainder modulo 6; reduce it: 9=6+39 = 6 + 3.

Concept
Remainders of a shifted number
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.