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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 (Junior) Mathematics - KVHSE , HSST Mathematics (SR for ST)' And exam conducted in the year 2024. And Question paper code was '009/2024'. 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.
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Let Gbe an infinite cyclic group. Then number of generators of Gis
(A) 1 (B) Infinite
(0) (D) 3
bo
Number of elements of order 6 is S,
(A) 240 (B) 360
© 120 (D) 720
Let Gbe a group of order 15. Then the number of Sylow subgroups of Gof order 3 is
(A) 0 (B) 1
(0 8 त) 5
The number of elements of order 5 in the group Z15 x Zs
(A) 16 (B) 24
(0 8 (D) 4
Let G be a cyclic group of order 24 generated by a. Then order of a’ is
(A) 24 (B) 18
(C) 12 (D) 6
100 (1, ಅ, ೨) be the ring of integers with ® and * defined by @®b=a+b-land
a*b=a+b-ab Consider the following statements:
0) ‘1 and O are additive and multiplicative identities.
a
Gi) 2-8 ८1 ०" additive and multiplicative inverses of ‘a’
(111) 1 and a are additive and multiplicative identities.
(iv) 2-a@and 0 are additive and multiplicative inverses of ‘a’
Then choose the correct option:
(A) Only (i) is true (B) Only (0 and (ii) are true
(C) Only (ii) is true (D) Only (iii) and (iv) are true
7 009/2024
[P.T.0.]