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Modulo Arithmetic & Congruence · Question 30 of 97

Question 30

MediumOriginal question

Assertion (A): (45×46) mod 9=0(45 \times 46) \bmod 9 = 0.

Reason (R): 45 is a multiple of 9.

Options for question 30

Show the answer and explanation
CorrectNot quiteAnswer A

Correct answer: A

Explanation

  1. 45≡0(mod9)45 \equiv 0 \pmod{9}, so 45×46≡0×46=045 \times 46 \equiv 0 \times 46 = 0.

  2. Both are true, and R is exactly why the product leaves no remainder.

Concept
A product with a multiple of n
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.