#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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𝐄𝐧𝐫𝐨𝐥𝐥 𝐧𝐨𝐰 𝐚𝐧𝐝 𝐛𝐞𝐠𝐢𝐧 𝐲𝐨𝐮𝐫 𝐣𝐨𝐮𝐫𝐧𝐞𝐲! :- https://bit.ly/49PVrCW
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Dear Friends , Today Quiz will start at 11:00 AM. Total 10 Questions - Part B - Mathematical Science. Thanks
#Q155 Let G be any group of order 15 then G,
Anonymous Quiz
21%
Has 5 subgroups
31%
Has 5 elements of order 5
43%
Has 4 subgroups
6%
Has 10 elements of order 15
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#Q156 Let S4 be the group of permutation over 4 elements. Then number of subgroups of order 6 are
Anonymous Quiz
17%
3
34%
6
19%
5
29%
4
#Q157 No. of elements in S9 commuting with the element σ=(135 79) is
Anonymous Quiz
2%
5
34%
5!
44%
4!∙5
20%
5!∙4
#Q158 Let S_8 be the group of permutation. The no. of elements having cycle Decomposition as (12)(45)(3678) is
Anonymous Quiz
11%
1210
41%
1220
46%
1260
2%
1200
#Q159 Let S_n be permutation group of n symbols. Then Sn can be generated by
Anonymous Quiz
25%
Collection of elements of the form (i ,j) ,i≠J
19%
All the 3-cycles
46%
By the set ={(12) ,(1 ,2 ,3 ,4 ,…….n)}
10%
By any set of odd permutations.
#Q161 Let H<S_n such that O(H)=31 then
Anonymous Quiz
15%
H may contain 30 even and one odd permutation.
48%
H may contain only even permutation
22%
H may contain only odd permutation
15%
H may contain 30 odd and one even permutation.
#Q162 Let S4 be the group of all permutations on 4 symbols, with identity element “e”. Then the no. of element S in S_4 that satisfy equation x^2=x^(-1) is
Anonymous Quiz
18%
6
39%
3
42%
8
0%
5
#Q163 No. of elements in S4 which does not commute with elements (12) (34).
Anonymous Quiz
11%
12
26%
18
39%
16
9%
8
15%
For More Practice Questions: https://bit.ly/49PVrCW
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#Q164 Let S4 be group of permutation of 4 distinct symbols, then the direct sum Z4×S4 has an element of order.
Anonymous Quiz
27%
2
27%
10
31%
9
16%
18
❤2
𝐓𝐮𝐫𝐧 𝐂𝐨𝐧𝐟𝐮𝐬𝐢𝐨𝐧 𝐈𝐧𝐭𝐨 𝐂𝐨𝐧𝐟𝐢𝐝𝐞𝐧𝐜𝐞, 𝐎𝐧𝐞 𝐒𝐭𝐞𝐩 𝐀𝐭 𝐀 𝐓𝐢𝐦𝐞 🚀✨
𝐄𝐧𝐫𝐨𝐥𝐥 𝐧𝐨𝐰 𝐚𝐧𝐝 𝐛𝐞𝐠𝐢𝐧 𝐲𝐨𝐮𝐫 𝐣𝐨𝐮𝐫𝐧𝐞𝐲! :- https://bit.ly/49PVrCW
𝐄𝐧𝐫𝐨𝐥𝐥 𝐧𝐨𝐰 𝐚𝐧𝐝 𝐛𝐞𝐠𝐢𝐧 𝐲𝐨𝐮𝐫 𝐣𝐨𝐮𝐫𝐧𝐞𝐲! :- https://bit.ly/49PVrCW