Gce Model Questions Vol1 2024 Further Mathematics Question 14

Practice objective / multiple choice question 14 from the 2024 Gce Model Questions Vol1 Further Mathematics examination.

Gce Model Questions Vol1 2024 Further Mathematics Objective / Multiple Choice Easy Difficulty
Question 14 GCE_MODEL_QUESTIONS_VOL1 • 2024 • FURTHER_MATHEMATICS • objective

Let \(A=\{1,2,3,4,5\}\). Define a relation \(R\) on \(A\) by \(aRb\) iff \(a\equiv b\pmod{2}\). Determine whether \(R\) is an equivalence relation and, if it is, list its equivalence classes.

Answer Options

A. Yes, R is an equivalence relation. Classes: {1,4,5} and {2,3}
B. No, R is not an equivalence relation.
C. Yes, R is an equivalence relation. Classes: {1,2,3,4,5}
Correct Answer D. Yes, R is an equivalence relation. Classes: {1,3,5} and {2,4}
Correct Answer
D
Correct Option:
Yes, R is an equivalence relation. Classes: {1,3,5} and {2,4}

About This Question

This is Gce Model Questions Vol1 2024 Further Mathematics Question 14. It is one of the objective questions from the 2024 Gce Model Questions Vol1 Further Mathematics examination.

Difficulty level: Easy .

View More Gce Model Questions Vol1 2024 Further Mathematics Questions More Gce Model Questions Vol1 Practice Questions Back to Questions

Master the Exam!

You've seen a preview, but there are thousands more questions plus AI tutor to break down complex solutions.

Unlock Full Access Available for Android & Windows
Chat with Support