## Kerala PSC Previous Years Question Paper & Answer

Title : LECTURER IN MATHEMATICS - NCA - EZHAVA/THIYYA/BILLAVA
Question Code : A

Page:7

Below are the scanned copy of Kerala Public Service Commission (KPSC) Question Paper with answer keys of Exam Name 'LECTURER IN MATHEMATICS - NCA - EZHAVA/THIYYA/BILLAVA' And exam conducted in the year 2016. And Question paper code was '088/2016/OL'. 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: 7 out of 12
Excerpt of Question Code: 088/2016/OL

Question55:-Let f: R’->°R is differentiable for every x ‘epsi’ R, such that ‘lim_(x->00)° f'(x) = ‏کل‎ Then 1൩0൨-0൦)" 7
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990 9
oh mle 2

0

2
Question56:-Let t be a positive integer and define a sequence *{x_n}* by *x_(n+1)=t+* 3 for all n’ >="0 with *x_0=0". If
the sequence is convergent, then :

As t= U4

0:-1 (൮/൪)
Question57:-Find the number of continuous onto maps from [0, 1] to (0, 1).
A:-Countably many
B:-None
C:-Exactly one
D:-Uncountably many
Question58:-Let *f (x) = a_l* sin ‘x + a_2° sin ‘2x +...+ a_n’ sin nx such that |f (x)|"<="| sin x| ലാട. ന്ന
*Ja_1+2a_2+...+ 6:
A:-cannot find
B:-0
C:-greater than *(n (n+1))/2° 7
D:-less than or equal to 1
Question59:-Let ` {5.0} ` 0€ a sequence of real numbers defined by *S_1=sqrt(2)* and “S_(n+1)=sqrt(2+S_n),*
then (51) 8:
A:-Monotonically increasing for all n
B:-Monotonically decreasing for all n
C:-Monotonically increasing for even n and decreasing for odd n
D:-Neither increasing nor-decreasing
Question60:-Let f be a function on real line such that |f| is measurable. Then :
A:-f is measurable if it is monotonically increasing
B:-f is always measurable
C:-f need not be measurable
D:-none of the above
Question61:-The value of ‘int_C***1/z*2 dz,* where C is the curve *|z - i] = 1/2,” is:
Ae
B:-0
‏“لمع‎
‎0; - 19/53:
Question62:-Which of the following is a bounded complex valued function :
A--f (z) = sin z, in the complex plane
8:- (2) - e*z/z,* in the complex plane with |z| > 0
C:-f (z) = cosh z, in the complex plane
D:-None of the above (A), (B) and (C)