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Modulo Arithmetic & Congruence · Question 22 of 97

Question 22

EasyOriginal question

What is (58+37) mod 9(58 + 37) \bmod 9?

Options for question 22

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. Reduce each number first: 58 mod 9=458 \bmod 9 = 4 and 37 mod 9=137 \bmod 9 = 1.

  2. (4+1) mod 9=5(4 + 1) \bmod 9 = 5. Check: 95=9×10+595 = 9 \times 10 + 5.

Worth noting

4 is the remainder of 58 alone.

Concept
Modular addition
Typical time
60 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.