Kerala PSC Previous Years Question Paper & Answer
Page:5
Below are the scanned copy of Kerala Public Service Commission (KPSC) Question Paper with answer keys of Exam Name 'HSST MATHEMATICS - SR FOR SC/ST' And exam conducted in the year 2016. And Question paper code was '036/2016/OL'. 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.
C:-2
D:-4
Correct Answer:- Option-C
Question38:-When *x*5 + x*4 + 5x*2 -3° is divided by *x+2,° the remainder is
A:-0
8:-1
C:-2
D:-3
Correct Answer:- Option-B
Question39:-A tree with 7 vertices has edges.
8ھ
B:-7
C:-5
D:-6
Correct Answer:- Option-D
Question40:-The number of distinct spanning trees of 64 5
A:-16
B:-12
C:-32
D:-8
Correct Answer:- Option-A
Question41:-If the identity element ‘e in S* exists in a semigroup (S, *** ), then itis a
A:-Group
B:-Groupoid
C:-Monoid
D:-None of the above
Correct Answer:- Option-C
Question42:-The number of generators of ‘(Z_24, +) is
൧-2
8:-6
C:-8
D:-10
Correct Answer:- Option-C
Question43:-A Sylow 3-subgroup of a group of order 12 has order
൧-2
8:-3
ای
02
Correct Answer:- Option-B
Question44:-Consider *Z_5° and *Z_20° as rings modulo 5 and 20 respectively. Then the number of homomorphism 9
:2 5 -> 2.20 5
ಣಠ
८ +~ +~
D:-2
Correct Answer:- Option-D
Question45:-Let *Q° be the field of rational numbers and *Z_2° is a field modulo 2. Then the polynomial *f (x) = x*3 -
9x*2 + 9x +3° is
A:-irreducible over ‘Q’ but reducible over *Z_2*
B:-irreducible over both *Q’ and ‘Z_2°
C:-reducible over ` 0` but irreducible over *Z 2°
D:-reducible over both * Q and‘ *Z_2°
Correct Answer:- Option-A
Question46:-Let “A => *[[3,1,-1],[2,2,-1],[2,2,0]]’. The characteristic polynomial of ‘A’ is
A: x43 + 5x*2+8x+4>
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(:-३१३-5./02+82-47
D:-x*3+8x+4°
Correct Answer:- Option-C