# TMA3/MTH211 – SET THEORY AND ABSTRACT ALGEBRA TMA 3 QUESTIONS AND ANSWERS

## TMA Quiz Questions

TMA: TMA3/MTH211
MTH211 – SET THEORY AND ABSTRACT ALGEBRA
Mr Ogundipe Olalekan (oogundipe@noun.edu.ng )

1 Let
R
R
be the universal and suppose that A=\left \{ x\; \epsilon\mathbb{R}:0

A. Ac={xϵQ:x≤0orx>2}
Ac={xϵQ:x≤0orx>2}
B. Ac={xϵR:x≤0orx>3} Ac={xϵR:x≤0orx>3}
C. Ac={xϵR:≤0x>1}
Ac={xϵR:≤0x>1}
D. Ac={xϵR:x≤−1orx>−0}
Ac={xϵR:x≤−1orx>−0}

2 If
A={x,y}
A={x,y}
,
B={1,2,3}
B={1,2,3}
and
C=Φ
C=Φ
. Find the Cartesian product of A and C

A. Φ Φ
B. {(x,1),(x,2),(x,3),(y,1),(y,2),(y,3)}
C. {(x,1),(y,1),(x,2),(y,2),(x,3),(y,3)}
D. {(x,1),(x,2),(x,3),(y,1),(y,2),(y,3)}

3 Given that
f:Z→Q
f:Z→Q
be defined by
f(n)=n1
f(n)=n1
. Then f is/are

A. Bijective
B. unto
C. one to one D. digective

4 Given that
g:Q→Z
g:Q→Z
be defined by
g(p/q)=p
g(p/q)=p
where p/q is a rational number expressed in its lowest term with a positive denominator, g can be said to b

A. unto B. one to one
C. bijective
D. none of the option

5 If
B=ab
B=ab
such that a, b are integers , then B is a set of _____numbers

A. complex
B. real
C. natural
D. rational 6 The________ product
A×B
A×B
of the sets A and B, is the set of all possible ordered pairs (a, b), where
a∈A,b∈B
a∈A,b∈B
.

A. Dot
B. Cross
C. Cartesian D. times

7 The set of all elements of set A that are not in set B is called â€¦â€¦â€¦ of A and B

A. Difference B. Union
C. Intersection
D. Universal

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8 A rule which associates every element of a non-empty set A exactly on element of a non-empty set B is called a ____

A. equation
B. function C. subset
D. set

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

A. 1 B. 2
C. 3
D. 4

10 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

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