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Below are the scanned copy of Kerala Public Service Commission (KPSC) Question Paper with answer keys of Exam Name 'Higher Secondary School Teacher Mathematics' And exam conducted in the year 2022. And Question paper code was '066/2022/OL'. Medium of question paper was in Malayalam or English . Booklet Alphacode was ''. 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.
AG is simple
B:-G has at least 2 subgroups of order 7
CG has @ normal subgroup of order 7
D-Number of elements in G of order 7is 7
Correct Answer:- Option-C
Question27:-Which if the following is @ class equation of a group of order 10?
۸:10
242424242
مدھ =1424245
20 72424335
Del0=141+1414145
Correct Answer:- Option ®
‘Question28:-Choose the correct statement from the following:
اہ کا یھ
کا ۸-:ھ simple
C=, is simple
Ds, is simple
Correct Answer: Option:
Question29:-Let & [x] be the polynomial ring over the field of real numbers. Which of the following set lis an ideal in பப.
تا
+= ¢) € १ [म].
زمره عد
०:५- (५९०) > ]×:۶ )0(
Correct Answer: Option ®
‘Question30:-Let
denotes the ideal generated by the polynomial p(x) in Z [x]. Choose the correct statement from the following
Av
[अ isa prime ideal
கணு prime ideal in Z
J isa maximal ideal
set (r(x) € Z [x]:7(0) مكنم
Correct Answer: Option-D
(2)} is not a prime ideal
‘Question31:-Choose the true statement from the following:
கன்டு a UFD but 2 [x]is not a UFD
8:2 2೧6 2 [1] are both PIDs
10 70 15 ]21 باط مام هوا عن
D:-2 and Z [x] are both Euclidean domains
Correct Answer: Option-C
Question32:-Which of the following is a field?
Correct Answer: Option:
Question33:-The Galois group of the splitting field of x*_2 over @is isomorphic to: