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Modulo Arithmetic & Congruence · Question 34 of 97

Question 34

MediumOriginal question

What is (40−73) mod 6(40 - 73) \bmod 6?

Options for question 34

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. 40−73=−3340 - 73 = -33, and −33=6×(−6)+3-33 = 6 \times (-6) + 3.

  2. So the remainder is 3.

Worth noting

−3-3 is not a remainder; add 6 to get 3.

Concept
Modular subtraction
Typical time
90 s
Your time
—
The rule this testsModular addition, subtraction and multiplication
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.