**Kerala PSC HSST Mathematics previous question paper part 2**

**Paper Code: 44/2017/OL**

**Category Code: 315/2015**

**Exam: HSST(Jr) Mathematics NCA**

**Date of Test 02-06-2017**

A:-a person under 18 years of age

B:-a person under 14 years of age

C:-a person under 16 years of age

D:-none of the above

Answer:- Option-A

27:-According to sexual harassment of women at work place (prevention, prohibition and redressal) Act, 2013, for non compliance with the provisions of the Act, employer is liable to a fine of

A:-Rs. 20,000

B:-Rs. 50,000

C:-Rs. 1,00,000

D:-None of the above

Answer:- Option-B

28:-In order to take organ for donation from a person who has under gone brain death

A:-two certifications are required from any two doctors six hours apart

B:-three certifications are required from three neurologists 4 hours apart

C:-two certifications are required 6 hours apart from doctors nominated by government and two must be neurologists

D:-none of the above

Answer:- Option-C

29:-National Rural Employment Guarantee Act was passed in the year

A:-2006

B:-2007

C:-2008

D:-2005

Answer:- Option-D

30:-Which among the following is a flow of polluter pay principle ?

A:-there is ambiguity in determining who is a polluter

B:-a large number of poor house holds, informal sector firms and subsistence farmers cannot bear any additional charges for waste disposal

C:-small and medium size firms from formal sector, find it difficult to pass on higher costs to domestic end users of the product

D:-all of the above

Answer:- Option-D

31:-The complete bipartite graph `K_(7,5)` has

A:-2 edges

B:-12 edges

C:-35 edges

D:-7^(5) edges

Answer:- Option-C

32:-Area of the ellipse (x^(2))/(25)+(y^(2))/(16)=1` is

A:-20 Pi

B:-(320)/(3)pi`

C:-(400)/(3)pi`

D:-400 Pi

Answer:- Option-A

33:-Perimeter of the cardioid r = 1 – cos`Theta` is

A:-1

B:-2

C:-4

D:-8

Answer:- Option-D

34:-Area of the surface generated by revolving the curve y = x about the x-axis from x = 0 to x = 1 is

A:-2`pi`

B:-`2sqrt(2)pi`

C:-`sqrt(2)pi`

D:-`4pi`

Answer:- Option-B

35:-In Boolean algebra the law a+(a*b)=a is known as

A:-idempotent law

B:-distributive law

C:-boundedness law

D:-absorption law

Answer:- Option-D

36:-Transcendence of e was proved by

A:-Euler

B:-Cauchy

C:-Euclid

D:-Hermite

Answer:- Option-D

37:-Which of the following is false ?

A:-`2^(13)-=1(mod3)`

B:-`3^(13)-=1(mod2)`

C:-`13^(2)-=1(mod3)`D:-`13^(3)-=1(mod2)`

Answer:- Option-A

38:-Equation of the tangent to the circle `x^(2)+y^(2)=1` at `((1)/(sqrt(2)),(1)/(sqrt(2)))` is

A:-x+y=1

B:-`x+y=(1)/(sqrt(2))`

C:-`x+y=sqrt(2)`

D:-x–y=1

Answer:- Option-C

39:-Degree of the field extension `Q(sqrt(3)+sqrt(2))` over `Q(sqrt(3))` is

A:-1

B:-2

C:-3

D:-4

Answer:- Option-B

40:-Number of subgroups of `ZZ_(18)` is

A:-2

B:-3

C:-6

D:-18

Answer:- Option-C

41:-Which of the following function `f:RR->RR` is not a permutation ?

A:-`f(x)=x+1`

B:-`f(x)=x-1`

C:-`f(x)=x^(2)-1`

D:-`f(x)=x^(3)-1`

Answer:- Option-C

42:-Set of all integers `ZZ` is

A:-an integral domain but not a field

B:-a division ring but not a field

C:-a strictly skew field but not a field

D:-a division ring but not an integral domain

Answer:- Option-A

43:-Number of generators of `ZZ_(20)` is

A:-1

B:-2

C:-4

D:-8

Answer:- Option-D

44:-Let `RR` be the ring of real numbers. Units of `RR` are

A:-0

B:-elements of `RR-{0} `

C:-1

D:-elements of `RR-{1}`

Answer:- Option-B

45:-Which of the following is false ?

A:-Every integral domain is a field

B:-Every field is an integral domain

C:-It p is a prime, then `ZZ_(p)` is a field

D:-Every finite integral domain is a field

Answer:- Option-A

46:-The remainder of `3^(50)` when divided by 13 is

A:-6

B:-9

C:-3

D:-0

Answer:- Option-B

47:-`nnn_(n=1)^oo((-1)/(n),(1)/(n))` =

A:-[–1, 1]

B:-{0}C:-`Phi`

D:-(0, 1)

Answer:- Option-B

48:-`lim_(n->oo)` `(1+(log_(e)^(2))/(n))^(n)`=

A:-1

B:-2

C:-`e^(2)`

D:-`log_(e)^(2)`

Answer:- Option-B

49:-Let g(x)=|cosx|. Then

A:-g(x) is nowhere differentiable

B:-g(x) is everywhere differentiable

C:-g(x) is differentiable everywhere except x = n`Pi`, `ninZZ`

D:-g(x) is differentiable everywhere except `x=(2n+1)Pi/2`, `ninZZ`

Answer:- Option-D

50:- Let

Then

A:-f is differentiable at all points, but f’ is not a continuous function

B:-f is not differentiable but it is continuous

C:-f is neither differentiable nor continuous

D:-f is differential and f' is continuous

Answer:- Option-A

<<<PREVIOUS |||

**NEXT>>**
## 0 comments

## Post a Comment