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Modulo Arithmetic & Congruence · Question 13 of 97

Match each expression in List I with its value in List II.

Question 13

MediumOriginal question

Match each expression in List I with its value in List II.

List IList II
A. 25 mod 725 \bmod 7I. 22
B. 36 mod 936 \bmod 9II. 44
C. (−10) mod 6(-10) \bmod 6III. 11
D. 100 mod 11100 \bmod 11IV. 00
Options for question 13

Show the answer and explanation
CorrectNot quiteAnswer C

Correct answer: C

Explanation

  1. 25=7×3+425 = 7 \times 3 + 4 and 36=9×4+036 = 9 \times 4 + 0.

  2. −10=6×(−2)+2-10 = 6 \times (-2) + 2 and 100=11×9+1100 = 11 \times 9 + 1.

Concept
Evaluating mod expressions
Typical time
120 s
Your time
—
The rule this testsThe modulo operation
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.