Explore topic-wise MCQs in Testing Subject.

This section includes 657 Mcqs, each offering curated multiple-choice questions to sharpen your Testing Subject knowledge and support exam preparation. Choose a topic below to get started.

1.

For a, b R de ne a = b to mean that |x| = |y|. If [x] is an equivalence relation in R. Find the equivalence relation for [17].

A. {, ,-11, -7, 0, 7, 11, }
B. {2, 4, 9, 11, 15, }
C. {-17, 17}
D. {5, 25, 125, }
Answer» D. {5, 25, 125, }
2.

Determine the set of all integers a such that a 3 (mod 7) such that 21 x 21.

A. { 21, 18, 11, 4, 3, 10, 16}
B. { 21, 18, 11, 4, 3, 10, 17, 24}
C. { 24, -19, -15, 5, 0, 6, 10}
D. { 23, 17, 11, 0, 2, 8, 16}
Answer» C. { 24, -19, -15, 5, 0, 6, 10}
3.

Which of the following is an equivalence relation on R, for a, b Z?

A. (a-b) Z
B. (a<sup>2</sup>+c) Z
C. (ab+cd)/2 Z
D. (2c<sup>3</sup>)/3 Z
Answer» C. (ab+cd)/2 Z
4.

For a, b Z de ne a | b to mean that a divides b is a relation which does not satisfy ___________

A. irreflexive and symmetric relation
B. reflexive relation and symmetric relation
C. transitive relation
D. symmetric relation
Answer» C. transitive relation
5.

Consider the congruence 45 3(mod 7). Find the set of equivalence class representatives.

A. { , 0, 7, 14, 28, }
B. { , -3, 0, 6, 21, }
C. { , 0, 4, 8, 16, }
D. { , 3, 8, 15, 21, }
Answer» B. { , -3, 0, 6, 21, }
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