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Modulo Arithmetic & Congruence · Question 86 of 97

Which house is roll number 47 in?

Question 86

EasyOriginal question

A school numbers its 60 students from 1 to 60 and puts each in a house by the remainder of the roll number on division by 5: remainder 1 is Red, 2 Blue, 3 Green, 4 Yellow and 0 White.

Which house is roll number 47 in?

Options for question 86

Show the answer and explanation
CorrectNot quiteAnswer D

Correct answer: D

Explanation

  1. 47=5×9+247 = 5 \times 9 + 2.

  2. Remainder 2: Blue.

Concept
Members of a residue class
Typical time
90 s
Your time
—
The rule this testsResidue classes
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Ten questions from Modulo Arithmetic & Congruence, at your own pace.

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Ten questions from Modulo Arithmetic & Congruence, at your own pace.

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