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Below are the scanned copy of Kerala Public Service Commission (KPSC) Question Paper with answer keys of Exam Name 'HSST JUR MATHEMATICS NCA HIGHER SECONDARY EDUCATION' And exam conducted in the year 2015. And Question paper code was '315/2015'. Medium of question paper was in Malayalam or English . Booklet Alphacode was 'A'. Answer keys are given at the bottom, but we suggest you to try answering the questions yourself and compare the key along wih to check your performance. Because we would like you to do and practice by yourself.
;-`337(3)-ಎ1(೧1062)7
Correct Answer:- Option-A
Question38:-Equation of the tangent to the circle *x~(2)+y~(2)=1" at *((1}/(sqrt(2)).(1}/(sqrt(2)})" 5
வறர
B:-"x+y=(1)/(sqrt(2))"
ارات یی ع9
D:-x-y=1
Correct Answer:- Option-C
Question39:-Degree of the field extension *Q(sqrt(3)+sqrt(2))" over *Q(sqrt(3)) is
Al
B:-2
6:3
D:-4
Correct Answer:- Option-B
Question40:-Number of subgroups of *ZZ_(18) is
A2
B:-3
C:-6
D:-18
Correct Answer:- Option-C
Question41:-Which of the following function *f:RR->RR" is not a permutation ?
A f(x)=x+1"
8:01
லைட்
மாலை
Correct Answer:- Option-C
Question42:-Set of all integers 22 ىا
A:-an integral domain but not a field
B:-a division ring but not a field
C:-a strictly skew field but not a field
D:-a division ring but not an integral domain
Correct Answer:- Option-A
Question43:-Number of generators ` 22 (20) is
Al
B:-2
C:-4
0:-8
Correct Answer:- Option-D
Question44:-Let *RR" be the ring of real numbers. Units of "RR* are
ಹಿಂ
B:-elements of *RR-{0} `
6:1
D:-elements of "RR-{1}"
Correct Answer:- Option-B
Question45:-Which of the following is false 7
A:-Every integral domain is a field
B:-Every field is an integral domain
नी p is a prime, then *ZZ_(p)" is a field
D:-Every finite integral domain is a field
Correct Answer:- Option-A
Question46:-The remainder of *3~(50)° when divided by 13 is
6-ھ
B:-9
6:3
0:-0
Correct Answer:- Option-B
Questiond7:-"nnn_(n=1}"0o{(-1}/(n}.(1}/(n)}" =
&:-[-1, 1]
B:-{0}