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Modulo Arithmetic & Congruence · Question 48 of 97

Question 48

MediumOriginal question

For which of these values of nn is 47≡5(modn)47 \equiv 5 \pmod{n}?

Options for question 48

Show the answer and explanation
CorrectNot quiteAnswer B

Correct answer: B

Explanation

  1. 47≡5(modn)47 \equiv 5 \pmod{n} means nn divides 47−5=4247 - 5 = 42.

  2. Of 5, 6, 8 and 9, only 6 divides 42.

Worth noting

5 is the remainder in the question, not a modulus that works.

Concept
Finding the modulus
Typical time
90 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.