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.
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Which of the following is not metrizable?
@ Rwith cofinite topology
Gi) IR with topology consists of R, gand all open intervals of the form (x, ೧೨), ೫೮%
2) IR with indiscrete topology
(A) @ only (B) (0 only
(0) @ and (i) only (D) 8]] of the above (i), (ii) and (iii)
Let X be a countable set in R. The subspace topology on X induced by the usual topology
in R is:
(A) connected. (B) compact
(C) not second countable (D) normal
Consi . 2 1 if x#y
onsider the metrics on R* given by d, (x,y) = ۰
0 if =)
d,(x, y)=|x, —y,|+x, — 9] and
d(x, y) = 11110) 4 1 गए.
Then :
(A) only d, and d, are equivalent (®) only d, and d, are equivalent
(C) only d, and d, are equivalent (1) d,, d, and d, are equivalent
The positive integer n for which 0-2)" ട 51235:
(A) 12 (B) 8
(0 18 (D) 16
The value of the complex number i~' is:
(A) ரை இ neZ ہرم نے روم neZ
0 ix ர
(C) کچ (D) 9
The function f (z) = lef’ for ze C is:
(A) analytic at 0
൯ differentiable at 0
(C) differentiable at all non-zero complex numbers
(D) analytic at all non-zero complex numbers
If fand f are both analytic on a region D in the complex plane, then :
(A) f(2)=2 forall ze D
൯) f(z)=c forall ze D and some constant ©
(@ f(z) =2 forallze D
൯൬ f(2)=|2|for allze D
083/2023 10 A