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A Tricky Question on Ideals and Fields
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GATE Maths 2021 PYQ Paper With Answer Key.pdf
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#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%
Canโt 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
#Q5 Converse of Lagrangeโs theorem for
Anonymous Quiz
19%
Cyclic group
19%
Abelian group
56%
Finite Abelian group
7%
Non-abelian groups
#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 โฆ... 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%
โค2
29%
>3
22%
โฅ3
#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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เคเคฟเคงเคฐ เคเคพ เคฐเคนเฅ เคนเฅ ?
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GATE Maths 2020 PYQ Paper With Answer Key.pdf
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For More Pratice Question: https://bit.ly/3JYcZlS
โค1
#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
#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)|