Kerala PSC Previous Years Question Paper & Answer
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Below are the scanned copy of Kerala Public Service Commission (KPSC) Question Paper with answer keys of Exam Name 'Non Vocational Teacher Mathematics (Junior & Senior)' And exam conducted in the year 2023. And Question paper code was '083/2023'. 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.
30. Consider the statements :
0) Theset R={a+ ९/3 : a, be Q} isa field under usual addition and multiplication
(ii) The set S= { 2 4 മാട பி is a division ring
-x 7
(1) The set C = {a+ib:a, ® € ष} of complex numbers is a field under usual addition and
multiplication of complex numbers.
(iv) The set Z, is an integral domain
Then
(A) all statements are true
(B) | only (i), (ii) and (iii) are true
(C) _ only (i) and (iii) are true
(D) _ only (i) is true
31. Let R be the ring of all real valued continuous functions of the closed unit interval. Then
which of the following are maximal ideals of R:
6 മ്മ -{re പ്ല)
൭ മ്മ १ 1)
ஸ்ர ചി]
Then
(A) M,,M, and M, are maximal ideals
(B) M, and M, are maximal ideals
(C) Only M, is maximal ideal
(D) M,, M, and M, are not maximal ideals
82. Let PID, ED, UFD denotes the set of all principal ideal domain, euclidean domain, unique
factorization domain respectively. Then :
றற 0ے جصتھے (B) णश < घ) < एण)
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33. Which of the following is not true?
(A) ४-38 is a prime element of 2/3]
(B) 2+ ച്് is irreducible but not prime in സ്ഫ]
(0) (1-i) isan irreducible element of Z[/]
(D) For any prime p, the ring Z » of integers modulo p is a PID
083/2023 8 A