## Kerala PSC Previous Years Question Paper & Answer

Title : HSST MATHS JR NCA
Question Code : A

Page:8

Below are the scanned copy of Kerala Public Service Commission (KPSC) Question Paper with answer keys of Exam Name 'HSST MATHS JR NCA' And exam conducted in the year 2018. And Question paper code was '057/2018/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: 8 out of 12
Excerpt of Question Code: 057/2018/OL

B:-1
6-2
D:-Does not exists
Question65:-Which of the following is not uniformly continuous on *RR* 7
ಹೀ
B:-sin x
‏بالك‎
‎ப ஙு!
Question66:-Let ട (1 ="1/1"(2)+1/2~(2)+...+1/(n~(2))" . Then which is false 7
:-{*s_(n)" }s a sequence 10 ' 00
(1 115 a Cauchy sequence in *QQ"
:-{"s_(n)" ) 15 ೧೧೧೪6೧6೧1೧ "007
D:-None of these

Question67:-Let *f (೧) : `ಗ87 *->" "RR" defined by
Then choose the most correct answer
A:-{f (n}}" does not convergent on दिरिः
B:-*{f (n)}" converges to zero function on *RR*
C:-{"f (n)" } converges to zero function on ` दिरिः (णि
D:-None of these
Question68:-Which is false 7
A:-There exists a function f: *RR" *->" "RR" which is continuous exactly at one point
B:-There exists a function f :'RR" "->RR" which is differentiable exactly at one point
C:-There exists a function f :'RR* *->" "RR" which is discontinuous everywhere
D:-None of these
Question69:-Which of the following subset of *RR~(3)" has positive Lebesgue measure 7
கதா காடு டு + ` #^{(2)}` + 2^{2)` = 1}
8:-{( ४, 2) டு : x +y+z=1}
വ്‌ യമു ഡ്‌ ദുഷ്ട ` ४४ (1) = {0 ‏ود‎ ` रिरि }, ` ५५ (2)` ‏ومح ماح‎ : ங்‌.
31 (3) ={(- +): ञी "RR" }
D:-None of these
Question70:-If *int_{1)*(o0)" f(x) dx = Lwhere 0 < L < “00"; then *lim_{x->00})" f(x} is
ಹಿಂ
8: ‏وہ‎ ~~
C:-always exists
D:-need not exists
Question71: is false 7
A:-tos 5 has a solution in *CC*
B:-sin 2 15 8 polynomial in 06
:-57^(2}` +` 05 2^(2}` = 1 व॥ 2 `` ` `
D:-Every non constant polynomial in *CC*[x] has a zero ॥ ` (८
Question72:-The image of the line y = 1 under the mapping w ಎ 51೧ 215
A:-Parabola
B:-Ellipse
C:-Rectangular Hyperbola
D:-None of these