#Q140 Let G be any group and H and K subgroup of G, then which of the following is true always.
Anonymous Quiz
19%
H∪K is a sub group
9%
HK is a subgroup
8%
HK ≤ KH
64%
H∩K is a subgroup
#Q141 An abelian group that contains at least two distinct self-inverse element other than identity then
Anonymous Quiz
24%
Must have a subgroup of order 6
54%
Must have a subgroup of order 4
15%
Must have a subgroup of order 10
7%
None of these.
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#Q142 Let G be any group and T={x ∈G∶ o(x) is finite} is any set, then T is subgroup of G
Anonymous Quiz
4%
If G is non-abelian
24%
If G is non-cyclic and non-abelian
37%
Always a subgroup
35%
If G is abelian.
#Q143 If G is an infinite Group, then the no. of finite cyclic subgroup is
Anonymous Quiz
5%
No subgroup like this
18%
Only one
55%
Equal to No. of elements of finite order
22%
Equal to No. of elements of infinite order
#Q144 Let G be any group such that o (G) = 15 then G is always
Anonymous Quiz
10%
Non-abelian
18%
Non-cyclic
70%
Cyclic
1%
None of these.
June 2012 CSIR NET MS Question Paper With Answer Key.pdf
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Dear Friends , Today Quiz will start at 3:00 PM. Total 10 Questions - Part B - Mathematical Science. Thanks
#Q147 The set of natural numbers can be express of union of------disjoint set
Anonymous Quiz
76%
2
14%
4
9%
3
0%
5
#Q148 (Z ,∙) is
Anonymous Quiz
17%
A Group
57%
Holds cancellation laws
18%
Not Groupoid
7%
None of these
#Q149 Let G be any group and H and K subgroup of G, then which of the following is true always.
Anonymous Quiz
16%
H∪K is a subgroup
7%
K is a subgroup
9%
HK≤KH
68%
H∩K is a subgroup
#Q150 An abelian group that contains at least two distinct self-inverse element other than identity then
Anonymous Quiz
12%
Must have a subgroup of order 6
70%
Must have a subgroup of order 4
12%
Must have a subgroup of order 10
6%
Noneof these.
#Q151 Let G be any group and T={x ∈G∶ o(x) is finite} is any set, then T is subgroup of G
Anonymous Quiz
3%
If G is non-abelian
24%
If G is non-cyclic and non-abelian
34%
Always a subgroup
39%
If G is abelian.
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#Q152 If G is an infinite Group, then the no. of finite cyclic subgroup is
Anonymous Quiz
7%
No subgroup like this
16%
Only one
62%
Equal to No. of elements of finite order
15%
Equal to No. of elements of infinite order
#Q153 Let G be any group such that o (G) = 15 then G is always
Anonymous Quiz
11%
Non-abelian
11%
Non-cyclic
75%
Cyclic
2%
None of these
#Q154 Let G be a group with exactly eight elements of order 10. How many cyclic sub groups of order 10 does G have?
Anonymous Quiz
7%
5
38%
10
31%
2
24%
4
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