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Home
Miscellaneous Test - 51
Miscellaneous Test - 51
Result
Miscellaneous Test - 51
/
Score
-
Rank
Time Taken:
-
Question
1/10
4 / -1
Correct
Wrong
Skipped
A
G is abelian
Correct
Wrong
Skipped
B
G is not abelian
Correct
Wrong
Skipped
C
O(G) = 2 only
Correct
Wrong
Skipped
D
None of these
Question
2/10
4 / -1
Correct
Wrong
Skipped
A
Correct
Wrong
Skipped
B
Correct
Wrong
Skipped
C
Correct
Wrong
Skipped
D
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Solutions
Question
3/10
4 / -1
Every group of order 7 is
Correct
Wrong
Skipped
A
Not abelian
Correct
Wrong
Skipped
B
Not cyclic
Correct
Wrong
Skipped
C
Cyclic
Correct
Wrong
Skipped
D
None of these
Verify mobile number to view the solution
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Solutions
Question
4/10
4 / -1
The number of generators of an infinite cyclic group is
Correct
Wrong
Skipped
A
1
Correct
Wrong
Skipped
B
3
Correct
Wrong
Skipped
C
2
Correct
Wrong
Skipped
D
Infinite
Question
5/10
4 / -1
The total number of generators of a finite cyclic group of order 28 is
Correct
Wrong
Skipped
A
10
Correct
Wrong
Skipped
B
8
Correct
Wrong
Skipped
C
12
Correct
Wrong
Skipped
D
14
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Solutions
Question
6/10
4 / -1
Correct
Wrong
Skipped
A
Correct
Wrong
Skipped
B
Correct
Wrong
Skipped
C
Correct
Wrong
Skipped
D
Does not exist
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Solutions
Question
7/10
4 / -1
Identify the false statement
Correct
Wrong
Skipped
A
In a group of even order, there exists an element other than identity which is its own inverse
Correct
Wrong
Skipped
B
Correct
Wrong
Skipped
C
Cube roots of unity form an Abelian group
Correct
Wrong
Skipped
D
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Solutions
Question
8/10
4 / -1
Correct
Wrong
Skipped
A
2
Correct
Wrong
Skipped
B
1
Correct
Wrong
Skipped
C
4
Correct
Wrong
Skipped
D
3
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Verify Mobile Number
Solutions
Question
9/10
4 / -1
The set of all 2 x 2 matrices over the real numbers is not a group under matrix multiplication because
Correct
Wrong
Skipped
A
Associative law is not satisfied
Correct
Wrong
Skipped
B
inverse axiom is not satisfied
Correct
Wrong
Skipped
C
Closure property is not satisfied
Correct
Wrong
Skipped
D
identity element does not exist
Question
10/10
4 / -1
The number of improper subgroups of G = [1, –1, i, –i] w.r.t multiplication is
Correct
Wrong
Skipped
A
2
Correct
Wrong
Skipped
B
3
Correct
Wrong
Skipped
C
4
Correct
Wrong
Skipped
D
1
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Solutions
Re-attempt
-
Correct (
-
)
Wrong (
-
)
Skipped (
-
)
1
2
3
4
5
6
7
8
9
10
Re-attempt
-
Correct (
-
)
Wrong (
-
)
Skipped (
-
)
1
2
3
4
5
6
7
8
9
10
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