MTH211 EXAM PRACTICE QUESTIONS AND ANSWERS IN NOUN

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Which of the following is an example of a subgroup?

a. The set of odd integers under multiplication

b. The set of natural numbers under subtraction

c. The set of even integers under addition

d. The set of rational numbers under division

Let R be an integral domain. Which of the following is true?

a. R has no zero divisors

b. R is finite

c. R is an empty set

d. R is a field

Which of the following sets is closed under the operation of addition?

a. Integers

b. Natural numbers

c. Odd numbers

d. Whole numbers

According to Lagrange’s Theorem, the order of a subgroup H of a finite group G is:

a. Not related to the order of G

b. A multiple of the order of G

c. Equal to the order of G

d. A divisor of the order of G

Which of the following is not a special integral domain?

a. Field

b. Vector space

c. Ring of polynomials

d. Ring of integers

Let G be a group of order 12. Which of the following is a possible order of a subgroup of G ?

a.5

b.7

c.6

e. 8

Let f:A→B be a function. Which of the following is false

a. Two or more elements of A could be associated with the same element of B.

b. Two or more elements of A could not be associated with the same element of B

c. For each element of A,we associate some element of B

d. d.For each element of A, we associate only one element of B

Which of the following is Lagrange’s Theorem concerned with?

a. Order of elements in a polynomial

b. Order of subgroups

c. Order of elements in a ring

d. Order of sets

Which of the following is a characteristic of an integral domain?

a. It has zero divisors

b. It is finite

c. It is a field

d. It is commutative

Which of the following is a polynomial ring?

a. The set of all polynomials over {R}

b. The set of all complex numbers

c. The set of all real numbers

d. The set of all integers

Which of the following is an example of a commutative ring with unity?

a. The set of all 3×3 matrices

b. The set of all 2×2 matrices

c. The set of all functions from a set to itself

d. The set of integers

Let G be a group of order 12. Which of the following is a possible order of a

subgroup of G ?

a. 6

b. 5

c. 7

d. 8

Which of the following is an example of a commutative ring with unity?

a. The set of all 3×3 matrices

b. The set of all 2×2 matrices

c. The set of all functions from a set to itself

d. The set of integers

In conclusion

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More practice questions and answers will bw updated from time to time. So do well to come back checking for more.

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