Miscellaneous Test

Result

Miscellaneous Test - 51

Score
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Rank
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TIME Taken - -

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Weekly Quiz Competition

Question 1
4 / -1

A
G is abelian

B
G is not abelian

C
O(G) = 2 only

D
None of these
Question 2
4 / -1

A

B

C

D

Solution
Question 3
4 / -1

Every group of order 7 is

A
Not abelian

B
Not cyclic

C
Cyclic

D
None of these

Solution
Question 4
4 / -1

The number of generators of an infinite cyclic group is

A
1

B
3

C
2

D
Infinite
Question 5
4 / -1

The total number of generators of a finite cyclic group of order 28 is

A
10

B
8

C
12

D
14

Solution
Question 6
4 / -1

A

B

C

D
Does not exist

Solution
Question 7
4 / -1

Identify the false statement

A
In a group of even order, there exists an element other than identity which is its own inverse

B

C
Cube roots of unity form an Abelian group

D

Solution
Question 8
4 / -1

A
2

B
1

C
4

D
3

Solution
Question 9
4 / -1

The set of all 2 x 2 matrices over the real numbers is not a group under matrix multiplication because

A
Associative law is not satisfied

B
inverse axiom is not satisfied

C
Closure property is not satisfied

D
identity element does not exist
Question 10
4 / -1

The number of improper subgroups of G = [1, –1, i, –i] w.r.t multiplication is

A
2

B
3

C
4

D
1

Solution