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TMA4/MTH211 – SET THEORY AND ABSTRACT ALGEBRA TMA 2 QUESTIONS AND ANSWERS

TMA Quiz Questions

TMA: TMA4/MTH211
MTH211 – SET THEORY AND ABSTRACT ALGEBRA
Mr Ogundipe Olalekan (oogundipe@noun.edu.ng )

1 A relation R defined on a set S is said to be ………… if b R a
∀a,b∈S
∀a,b∈S
.

A. transitive
B. reflexive
C. symmetric   
D. none of the above

2 A relation R defined on a set S is said to be ………… if a R b and b R c implies a R c
∀a,b,c∈S
∀a,b,c∈S

A. reflexive
B. symmetric
C. transitive
D. none of the above

3 Let A = {1, 2, 3} and B = {2, 3, 4}, then A \ B

A. 1  
B. 2
C. 3
D. 4

4 Let A and B be two sets such that
a∈A
a∈A
and
b∈
b∈
B, then (a, b) is called ……….

A. ordained palrs
B. ordered augmented palrs
C. augmented palrs
D. ordered pairs  

5 One of the following is false

A. (A∪B)×C=(A×C)∪(B×C)
(A∪B)×C=(A×C)∪(B×C)
B. (AB)×C=(A×C)∪(B×C)
(AB)×C=(A×C)∪(B×C)  
C. (A∩B)×C==(A×C)∩(B×C)
(A∩B)×C==(A×C)∩(B×C).
D. A∪Ac=X
A∪Ac=X
, where X is the universal set

6 One of the following is not true of the Cartesian product of two sets A and B.

A. A X B = ∅ if A = ∅ or B = ∅
B. If A has m elements and B has n elements,then (A x B) has mn elements. (B x A) also has  mn elements.
C. The elements of (B x A) need not be the same as the elements of (A x B).
D. The elements of (B x A) are always the same as the elements of (A x B)  

7 Let A = {1,2,3} and B = {5,6}, then A X B is equal to

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A. { (1, 4), (1, 6), (2, 5), (2, 6), (3, 4), (3, 6) }
B. { (1, 5), (1, 6), (2, 6), (3, 4), (3, 6) }
C. { (1, 5), (1, 6), (2, 5), (2, 6), (3, 5), (3, 6) }.  
D. { (1, 2,3,5,6) }

8 Let A and B be two non-empty sets, then A X B represents

A. Cartesian addition
B. Cartesian multiples
C. Cartesian product  
D. Cartesian subtraction

9 The complement of the complement of a set is ……….

A. zero
B. one
C. the set itself  
D. Subset

10 Two sets are disjoint if their……………… is empty.

A. union
B. intersection  
C. complement
D. all of the above

 

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