Mathematics - CSIR NET, GATE, SET & NBHM: IFAS
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π’πžπœπ«πžπ­ π’πšπ§π­πš 𝐒𝐧 πˆπ…π€π’
#Q1 Every group of order 'n' is isomorphic to some subgroup of
Anonymous Quiz
11%
An
49%
Sn
11%
Dn
28%
Z(n )
#Q2 Let G be a group of order 108. Then G will be
Anonymous Quiz
16%
Simple
42%
Can’t be simple
27%
Cyclic
16%
Abelian
#Q3 Let 0(G)=n and G has a proper subgroup of Index 4, then group is
Anonymous Quiz
25%
Cyclic
26%
Simple
29%
Non-cyclic
21%
non-simple
#Q4 In which of the following group K_4 is not embedded
Anonymous Quiz
17%
D4
26%
S4
32%
A4
25%
D3
#Q6 If H is a p-Sylow subgroup for a group G, & it is unique. Then
Anonymous Quiz
14%
H is Cyclic
25%
H is abelian
57%
H is Normal
4%
H is not Normal
#Q7 Let G be a group of order 15. Then No. of 5 - Sylow subgroup of G is
Anonymous Quiz
8%
5
24%
4
19%
10
49%
1
#Q8 Let 0|G|=30 then G will always be …... in G
Anonymous Quiz
20%
Abelian
26%
Cyclic
38%
Normal
16%
Simple
#Q9 Let G be a non-abelian group of order pK ,p is prime. Then G is not necessarily simple when K is
Anonymous Quiz
14%
1
35%
≀2
29%
>3
22%
β‰₯3
#Q10 Let 0(G)=21 ,G be a non-cyclic group. Then no. of elements of order 3 will be
Anonymous Quiz
13%
1
21%
6
44%
14
21%
7
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ΰ€•ΰ€Ώΰ€§ΰ€° ΰ€œΰ€Ύ ΰ€°ΰ€Ήΰ₯‡ ΰ€Ήΰ₯‹ ?

π„ππ‘πŽπ‹π‹ ππŽπ– : https://bit.ly/49PVrCW
#Q1 Let 0(G)=21 ,G be a non-cyclic group. Then no. of elements of order 3 will be
Anonymous Quiz
11%
1
18%
6
51%
14
20%
7
#Q2 Let n=72 , then no. of Abelian group of order n up to isomorphism is
Anonymous Quiz
24%
9
27%
8
38%
5
11%
10
#Q3 For which of the following the group G is simple
Anonymous Quiz
2%
42
47%
53
37%
108
14%
45
#Q4 Let H be a Sylow p-subgroup of G , then the no. of Sylow p-subgroup of G is equal to
Anonymous Quiz
17%
o(H)
11%
|aH|
68%
o(G)/o(N(H))
4%
o/|Cl(H)|
#Q5 No. of groups up to isomorphism of order 45 is
Anonymous Quiz
18%
1
41%
2
14%
3
27%
4
#Q6 The no. of 5-Sylow subgroup of S_6 is
Anonymous Quiz
2%
16
25%
6
56%
36
17%
1
#Q7 Let H be any subgroup of G. Then the largest subgroup of G in which H is normal is
Anonymous Quiz
5%
H
22%
G
40%
N(G)
33%
N(H)
#Q8 R= {0 ,2 ,4 ,6 ,8} ring with addition modulo 10 and multiplication modulo 10. Then unity of R is
Anonymous Quiz
20%
2
22%
4
19%
8
39%
6