DISCLAIMER: MTH211 PAST QUESTIONS AND ANSWERS IN NOUN IS A SERIES OF PAST QUESTIONS AND ANSWERS PROVIDED FOR EXAM PREPARATIONS; THEREFORE, IT IS ALSO IMPORTANT YOU USE THE EXAM KEYNOTES ALONGSIDE.
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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
Kindly note that the above practice questions and answers are not limited to the above questions and answers.
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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