Mathematics - CSIR NET, GATE, SET & NBHM: IFAS
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#Q147 The set of natural numbers can be express of union of------disjoint set
Anonymous Quiz
76%
2
14%
4
9%
3
0%
5
#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.
👍1
#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
Media is too big
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𝐃𝐚𝐲 𝟑𝟔 | 𝐑𝐞𝐚𝐥 𝐀𝐧𝐚𝐥𝐲𝐬𝐢𝐬 | 𝐂𝐒𝐈𝐑 𝐍𝐄𝐓 𝐃𝐄𝐂 𝟐𝟎𝟐𝟓

𝐄𝐧𝐫𝐨𝐥𝐥 𝐧𝐨𝐰 𝐚𝐧𝐝 𝐛𝐞𝐠𝐢𝐧 𝐲𝐨𝐮𝐫 𝐣𝐨𝐮𝐫𝐧𝐞𝐲! :- https://bit.ly/49PVrCW
1
Dear Friends , Today Quiz will start at 11:00 AM. Total 10 Questions - Part B - Mathematical Science. Thanks
#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
#Q160 No. of subgroups of order 6 in A(4 ) is
Anonymous Quiz
5%
1
48%
0
46%
2
2%
3
#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
🎉2
#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