Gce Model Questions Vol1 2021 Further Mathematics Question 21

Practice objective / multiple choice question 21 from the 2021 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2021 Further Mathematics Objective / Multiple Choice Easy Difficulty

Question 21 GCE_MODEL_QUESTIONS_VOL1 • 2021 • FURTHER_MATHEMATICS • objective

On the set \(S = \{0,1,2\}\) define a binary operation \(\) by \(a b = (a + b) \bmod 3\). Determine whether \(\) is associative and state the identity element of \(\).

Answer Options

A. Associative; identity element = 1

Correct Answer B. Associative; identity element = 0

C. Non-associative; identity element = 0

D. Associative; identity element = 2

Correct Answer

Correct Option:

Associative; identity element = 0

About This Question

This is Gce Model Questions Vol1 2021 Further Mathematics Question 21. It is one of the objective questions from the 2021 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Easy .

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Gce Model Questions Vol1 2021 Further Mathematics Question 21

On the set \(S = \{0,1,2\}\) define a binary operation \(*\) by \(a * b = (a + b) \bmod 3\). Determine whether \(*\) is associative and state the identity element of \(*\).

Answer Options

About This Question

Master the Exam!

On the set \(S = \{0,1,2\}\) define a binary operation \(\) by \(a b = (a + b) \bmod 3\). Determine whether \(\) is associative and state the identity element of \(\).