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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.
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The dimension of the subspace of M, ۔ spanned by 17.2.8.
له 1 (8) 2
6 3 (D) 4
Ifrank of a 7 x 5 matrix A is § and of a
(^) 2
(C) 4
latrix B is 3. then rank of AB is
Sum of the Eigen values of ೨2 3 سے
(ക) 1 (B) 3
೫3 -1 D) 3
Let A be an n * n matrix which is both Hermition and 1 nitary. Then
(^) A2~
(8) ^ 15 षग]
(യ the Eigen values of A are 0, |
(D) the characteristic an. ! minimal polynomial of A are the same.
1t/ [0, 10] — [0, 10] be & continuous mapping. Then
(^) / need not have any fixed point
(B) f has at least 10 fixed point
(८) f has at least 9 fixed ೧೧:
(D) / ೧85 8! 1025! ೧೧೪ fixed point
A topological space (X, t) in which every t-open cover of X has a countable sub-cover is
(ಸಿ) Compact space (8) Hausdroff space
(©) Normal space (0) Lindelof space
The order of convergence in Newton-Raphson method js
(ക) 2 (8) 3
(@ॐ- 9 (D) nonc of the above
1881 15 a positive integer and a is any integer relatively prime من n, then
(A) a®" = | (mod n) (8) a%" =0 (mod n)
(೮) ೬೪೫
=2 (mod n) (D)
n+ 1 (mod n)
Geodesics on u plane are
(ക) Parabola (B). Straight lines
(€) ബം (D) Cycloid
014/2018 14 A