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Modulo Arithmetic & Congruence · Question 47 of 97

Question 47

EasyOriginal question

Which of these numbers is congruent to 100 modulo 7?

Options for question 47

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. 100=7×14+2100 = 7 \times 14 + 2, so we need a number that leaves remainder 2.

  2. 16=7×2+216 = 7 \times 2 + 2. The others leave 3, 6 and 6.

Concept
Checking a congruence
Typical time
60 s
Your time
—
The rule this testsCongruence modulo n
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.