Gce Model Questions Vol1 2023 Further Mathematics Question 44

Practice objective / multiple choice question 44 from the 2023 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2023 Further Mathematics Objective / Multiple Choice Easy Difficulty
Question 44 GCE_MODEL_QUESTIONS_VOL1 • 2023 • FURTHER_MATHEMATICS • objective

On the set \(A=\{1,2,3,4,5\}\) define a binary operation \(*\) by \(a * b = (a+b)\bmod 5\), where a result of 0 is interpreted as 5. Is the operation \(*\) associative on \(A\)?

Answer Options

A. Yes, the operation is commutative but not associative.
B. No, the operation is not associative.
Correct Answer C. Yes, the operation is associative.
D. No, the operation fails associativity for some elements.
Correct Answer
C
Correct Option:
Yes, the operation is associative.

About This Question

This is Gce Model Questions Vol1 2023 Further Mathematics Question 44. It is one of the objective questions from the 2023 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Easy .

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