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Modulo Arithmetic & Congruence · Question 36 of 97

Question 36

MediumOriginal question

What is (101×102×103) mod 100(101 \times 102 \times 103) \bmod 100?

Options for question 36

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. 101≡1101 \equiv 1, 102≡2102 \equiv 2, 103≡3(mod100)103 \equiv 3 \pmod{100}.

  2. 1×2×3=61 \times 2 \times 3 = 6.

Worth noting

306 is 101+102+103101 + 102 + 103, a sum, not reduced.

Concept
Reducing before you multiply
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.