# TMA2/MTH211 – SET THEORY AND ABSTRACT ALGEBRA TMA 2 QUESTIONS AND ANSWERS

## TMA Quiz Questions

TMA: TMA2/MTH211

MTH211 – SET THEORY AND ABSTRACT ALGEBRA

Mr Ogundipe Olalekan (oogundipe@noun.edu.ng )

1 Let Z be a complex number, then

Z.Z¯

Z.Z¯

is ……..

A. a prime number

B. a non-negative real number

C. a natural number

D. an irrational number

2 A ………… of an Abelian group is Abelian

A. set

B. subset

C. group

D. subgroup

3 One of the following is untrue for the description of a non empty set

A. An element can be written more than once

B. The order in which the elements of the set are listed is not important.

C. The roster method is sometimes used to list the elements of a large set

D. Every element must be written exactly once .

4 A = {x / x is an odd number between 5 and 21} is same as————

A. A = {5,7,9,11,13,15,17,19}

B. A = {5,7,9,11,13,15,17,19,21}

C. A = {x : x is an odd number between 5 and 21}

D. A = {7,9,11,13,15,17,19,21}

5 The following are true except

A. If every element of a set B is an element of a set A, then B is a subset of A.

B. A is a subset of B is denoted by

A⊂B

A⊂B

C. Two sets A and B are equal if and only if

A⊆B

A⊆B

and

B⊆A

B⊆A

D. Two sets A and B are equal if and only if A = -B and B = A

6 Given that S = { a, b, c, d , e } and T = { a, c, e }, then one of these is untrue

A. T is a subset of S

B. T⊆S

T⊆S

C. S≠T

S≠T

D. S⊆T

S⊆T

7 Given that A ={ a, b, c, d , e } and B = { a, c, e }, then B is a …….. of A.

A. set

B. subset

C. subscribe

D. subscript

8 If A = { a + i b / a, b ϵ R }, then A is a set of ……… numbers

A. rational

B. natural

C. real

D. complex

9 …………… is the set of natural numbers

A. {1, 2, 3, ……}

B. {0,1, 2, 3, ……}

C. {±1, ± 2, ± 3 …… }

D. {0, ±1, ± 2, ± 3 …… }

10 One of the following truly represents a set

A. {1, 3, 1, 6, 7}

B. {1, 3, 6, 7}

C. {1, 3, 6, 7,1}

D. {1, 1, 3, 6, 7}

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I need past question on abstract algebra. Plz help