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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

B:-1

6-2

D:-Does not exists

Correct Answer:- Option-B

Question65:-Which of the following is not uniformly continuous on *RR* 7

ಹೀ

B:-sin x

بالك

ப ஙு!

Correct Answer:- Option-C

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

Correct Answer:- Option-C

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

Correct Answer:- Option-B

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

Correct Answer:- Option-D

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

Correct Answer:- Option-C

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

Correct Answer:- Option-D

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

Correct Answer:- Option-B

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

Correct Answer:- Option-B

Question73:-The value of 17 (೮) `(1)/(27(3)(24-1)` 62 ೫೧೮೧೬ 0 15 |7| ಎ 3; 15

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