#Q10 Which of the following statements are true?
Anonymous Quiz
31%
Subring of an I.D is I.D
31%
Subring of an U.F.D is U.F.D
13%
Subring of an PID is P.I.D
25%
Subring of an E.D is E.D
#Q1 Let axโ
b(mod n )be any equation then this equation have solution if
Anonymous Quiz
17%
If lcm (a ,n )= l ,then l/b
43%
If gcd (a ,b )= d ,then d/n
23%
If gcd (a ,n )= d ,then b/d
17%
If gcd (a ,n )= d ,then d/b
#Q2 Find the degree of minimal polynomial for โ(-3)+โ2 over Q
Anonymous Quiz
9%
2
58%
4
21%
6
12%
8
#Q3 Let a and b belong to some extension of F and Let b be algebraic over F. Then which of the following is true?
Anonymous Quiz
24%
[ F (a ,b) โถF (a)]โฅ [ F ( a ,b ):F ]
32%
[ F (a ,b) โถF (a)]โค [ F ( a ):F ]
21%
[ F (a ,b) โถF (a)]โฅ [ F ( a ):F ]
24%
[ F (a ,b) โถF (a)]โค [ F ( a ,b ):F ]
#Q4 Let E be a finite extension of R. As C is algebraically closed then
Anonymous Quiz
8%
E โ C and โโ R
28%
E =C but never equal to R
44%
E =R but never equal to C
19%
E =R or โ = C
#Q6 Let a and b be two elements of K. Then a and b are conjugate over F if
Anonymous Quiz
9%
a and b are only roots of same minimal polynomial over F
33%
a and b are algebraic over F
18%
a and b are not algebraic over F
39%
a and b are algebraic over F and they are roots of same minimal Polynomial over F
#Q9 Let F be any finite field and F* be the group with multiplication. Then all the finite subgroups of F*
Anonymous Quiz
5%
Not normal
33%
Non-cyclic
21%
Only one will be cyclic
42%
Abelian
#Q10 Let GF(1024) be any field then No. of subfields of order 32 is
Anonymous Quiz
34%
4
23%
7
23%
9
20%
1
GATE Maths 2015 PYQ Paper With Answer Key.pdf
1016.1 KB
For More Pratice Question: https://bit.ly/3JYcZlS
Media is too big
VIEW IN TELEGRAM
เคนเคพเคฐ เคจเคนเฅ เคฎเคพเคจเคจเคพ | เคจเคฏเคพ เคธเคพเคฒ เคจเคฏเคพ เคเฅเคถ
๐๐ง๐ซ๐จ๐ฅ๐ฅ ๐๐จ๐ฐ :- https://bit.ly/49PVrCW
๐๐ง๐ซ๐จ๐ฅ๐ฅ ๐๐จ๐ฐ :- https://bit.ly/49PVrCW
๐๐ก๐๐ฒ ๐ฐ๐๐ซ๐ ๐จ๐ง๐๐ ๐ข๐ง ๐ฒ๐จ๐ฎ๐ซ ๐๐ฑ๐๐๐ญ ๐ฉ๐จ๐ฌ๐ข๐ญ๐ข๐จ๐ง. ๐๐ก๐๐ฒ ๐๐๐๐๐ฉ๐ญ๐๐ ๐ญ๐ก๐ ๐๐ก๐๐ฅ๐ฅ๐๐ง๐ ๐. ๐๐ก๐๐ฒ ๐ฌ๐ฎ๐๐๐๐๐๐๐. ๐๐ก๐ ๐จ๐ง๐ฅ๐ฒ ๐ช๐ฎ๐๐ฌ๐ญ๐ข๐จ๐ง ๐ข๐ฌ: ๐๐ข๐ฅ๐ฅ ๐ฒ๐จ๐ฎ?
๐๐ง๐ซ๐จ๐ฅ๐ฅ ๐๐จ๐ฐ :- https://bit.ly/49PVrCW
๐๐ง๐ซ๐จ๐ฅ๐ฅ ๐๐จ๐ฐ :- https://bit.ly/49PVrCW
๐๐ก๐๐ฒ ๐ฐ๐๐ซ๐ ๐จ๐ง๐๐ ๐ข๐ง ๐ฒ๐จ๐ฎ๐ซ ๐๐ฑ๐๐๐ญ ๐ฉ๐จ๐ฌ๐ข๐ญ๐ข๐จ๐ง. ๐๐ก๐๐ฒ ๐๐๐๐๐ฉ๐ญ๐๐ ๐ญ๐ก๐ ๐๐ก๐๐ฅ๐ฅ๐๐ง๐ ๐. ๐๐ก๐๐ฒ ๐ฌ๐ฎ๐๐๐๐๐๐๐. ๐๐ก๐ ๐จ๐ง๐ฅ๐ฒ ๐ช๐ฎ๐๐ฌ๐ญ๐ข๐จ๐ง ๐ข๐ฌ: ๐๐ข๐ฅ๐ฅ ๐ฒ๐จ๐ฎ?
๐๐ง๐ซ๐จ๐ฅ๐ฅ ๐๐จ๐ฐ :- https://bit.ly/49PVrCW
๐๐ง๐ซ๐จ๐ฅ๐ฅ ๐๐จ๐ฐ :- https://bit.ly/49PVrCW
Media is too big
VIEW IN TELEGRAM
๐๐๐ฒ ๐ | ๐๐ข๐๐ ๐จ๐ง๐๐ฅ๐ข๐ณ๐๐ญ๐ข๐จ๐ง | ๐๐ฎ๐๐ซ๐๐ง๐ญ๐๐๐ ๐๐ฎ๐๐ฌ๐ญ๐ข๐จ๐ง | ๐๐๐ญ๐ ๐๐๐๐
Registere Here for More Content : https://bit.ly/49PVrCW
Registere Here for More Content : https://bit.ly/49PVrCW
๐๐จ๐ง'๐ญ ๐ฃ๐ฎ๐ฌ๐ญ ๐๐ซ๐๐๐ฆ ๐จ๐ ๐๐๐
; ๐๐๐ก๐ข๐๐ฏ๐ ๐ข๐ญ ๐ฐ๐ข๐ญ๐ก ๐๐% ๐๐
๐
๐จ๐ฎ๐ซ ๐๐ฑ๐ฉ๐๐ซ๐ญ ๐๐จ๐ฎ๐ซ๐ฌ๐๐ฌ! ๐โจ
๐๐ง๐ซ๐จ๐ฅ๐ฅ ๐๐จ๐ฐ :- https://bit.ly/49PVrCW
๐๐ง๐ซ๐จ๐ฅ๐ฅ ๐๐จ๐ฐ :- https://bit.ly/49PVrCW
โค2
#Q1 Let K (u)= K [ u] iff
Anonymous Quiz
8%
u is transcendental over K
39%
u is not a root of any polynomial over K
29%
u is algebraic over K
24%
K(u) is never equal to K[ u ]
#Q2 Let F be an extension field of K. Define L= {ฮฑ โF โถ ฮฑ is algebric over K} then
Anonymous Quiz
6%
L is never a subfield of K
54%
L is subfield of K
20%
L is only a subring of K
20%
L is a subfield of F
#Q3 Let K be a field and F is a subfield of K, then what should be the external composition between F and K such that K forms vector space over F.
Anonymous Quiz
23%
With multiplication of F
57%
With multiplication of k
13%
Addition of F
7%
None of these options
#Q4 Which of the following statement is/are true if (R,+,โ) be a ring and F < R and (F,+,โ) is a field and external composition is same as multiplication in R
Anonymous Quiz
15%
R over F always form a vector space
56%
R over F forms vector space if unity of R is same as unity of F
26%
R over F is vector space always if unity of R is not same as unity of F
3%
R over F never forms a vector space