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Modulo Arithmetic & Congruence · Question 25 of 97

Question 25

EasyOriginal question

What is (89+76) mod 11(89 + 76) \bmod 11?

Options for question 25

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. 89 mod 11=189 \bmod 11 = 1 and 76 mod 11=1076 \bmod 11 = 10.

  2. (1+10) mod 11=0(1 + 10) \bmod 11 = 0. Check: 165=11×15165 = 11 \times 15.

Worth noting

11 is not a remainder modulo 11; it is 11≡011 \equiv 0.

Concept
Modular addition
Typical time
60 s
Your time
—
The rule this testsModular addition, subtraction and multiplication
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Ten questions from Modulo Arithmetic & Congruence, at your own pace.

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