Kerala PSC HSST mathematics previous solved paper 2017

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

Department: Higher Secondary Education
HSST Mathematics detailed syllabus: Click here

26:-Under prevention of children from Sexual Offences Act, child means
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

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