Kerala PSC Previous Years Question Paper & Answer
Page:4
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.
ನ 1
17. Let f, g:[0,1] >Rdefined by f(xy=1" F*=T ME g(x) =
otherwise N
(A) both fand g are Riemann Integrable
5 1 [0,1]ہظ9 ء۴ then
0, otherwise
(B) fis Riemann Integrable, g is Lebesgue Integrable
(C) gis Riemann Integrable, fis Lebesgue Integrable
(D) Neither f nor gis Riemann Integrable
18. Let f: ROR? is given by (وز ,ہر ہ)/ =(e 20831, ९” sin y,,25,-cosys) and let
2 (032, 3) 6 R°: there exists an open set Varound ();, 2, ¥3) Such that the restriction
flv is open map}. Then which of the following is true?
(A) E=R’
(B) Eis countable
(C) ۳ Jos |= ந்: J1+ Yo € IR} is a proper subset വ് 1)
(D) All of the above are true
19. The value of few ax is:
0
۳
2
۳
4
(A)
(0
வவ ஒப
1
20. The value of [ഷ് (1-x")‘dx is:
0
ಉ 200.0
© 1
(0) {4 3)
21. The Fourier series corresponding to the function f (x) =|
(ಸಿ) cosine terms only
(B) | sine terms only
(C) both sine and cosine terms
(8)
(2)
(8)
(2)
(D) sine terms and non-zero constant terms
ale ~
=
allel
1
328.4)
1
ಸೆ, 3)
-8, -5
contains :
22. Let Gbe a group with binary operation * defined by a*b=a+2b-3 for all a,beG. Then the
inverse of the element ce G is:
2c+9
(A) 7
0 0-8
(0) ದ್ವ
088/2028
(8)
(2)
9-2८
042