Kerala PSC Previous Years Question Paper & Answer

Title : HSST (JUNIOR) MATHEMATICS
Question Code : A

Page:11


Below are the scanned copy of Kerala Public Service Commission (KPSC) Question Paper with answer keys of Exam Name 'HSST (JUNIOR) MATHEMATICS' And exam conducted in the year 2018. And Question paper code was '014/2018'. 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.

page: 11 out of 13
Excerpt of Question Code: 014/2018

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014/2018

Identify the true statement
(ಸಿ) Any two groups of order 4 are isomorphic
(ए) Any two abehan groups of the same order are isomorphic
(©) An abelian group can be isumorphic to a non-ubelia
(D) An additive

group.

11000 ೦07 ಓಲ 15017011010 10 a multiplicative group

1: ‏رود‎ ರ ता जवे ಮ * Zy5 18

(A) 3 (8) 8
(ರಾ ಈ (೧) 15

11 3 and a” arc both

acrator of a cychie group of order n, then
(A) 1 must be odd (B) nmustbe cven
(0) n must be prime (D) nmust not be prime

‎alternating group A, on 4 symbols has a pormal sub-group of order‏ عرز
3 )8( 2 )^(
‎ര 5 (D) 6‏

‎Which among the following is not possible 7
(९) A field with 7 clements
(B) A field with 8 clements
(0) A ficld with 9 elements
(ಐ) A field with 10 elements

‎Let PID. ED, UFD denote the set of all principal ideal domains. Fuclidean domains
factorization domains respectively. Then

‏طنج مع مم )8( ‎एण = > € गए‏ )^(

‎EDg PID g UFD (D) PIDg UFD
‎unique



‎In the ring of integers, which one of the followiny is true >
(A) All subrings are ides

‎ന) ചിട are prime ideals



‎(©) Not all prime ideals are maximal ideals.
)0( Not all maximal ideals are prime ideals.

‎The number of
(ಹ) 2083
(^)



‎low 7-suhgroups in & group of order 392 is
(8) 3or?
or യു 1958



‎W

‎Let G be the Galois group of the splitting field ‏کر چی‎ = 2 over Q. Then which of the following
statement is true 2
ക്ര G iscyche (छ) Gisnon
(௦) The order of G is 20 (D)



‎helian



‎ment of order 4




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