HSST MATHEMATICS ONLINE EXAM

EXAM DATE:18-03-2016

1.Who among
the following is the winner of Jnanapida award in 2015?

A.Ragveer Chaudary*

B.Leeladhar Mandloi

C.K.V.Chaudary

D.S.Ramanugam

Ans:A

2.Who is
selected as the Miss Universe in 2015?

A.Ariyana Guetirus

B.Ohvia Gordan

C.Pia Alonso*

D.Maria Laiguna

Ans:C

3.Who among
the following is the winner of Ezhuthachan award in 2015?

A.Sugathakumari

B.K.R.Meera

C.Puthussery Ramachandran*

D.Meloor Vasudevan

Ans:C

4.The French
open 2015 Women Championship is won by which of the following player?

A.Venus Williams

B.Serina Williams*

C.Simonia Halep

D.Maria Sharapova

Ans:B

5.Who among
the following is the first Chairman of New Development Bank(NDB)?

A.K.V.Kamath*

B.Nirbhay Sharma

C.Dineshkumar Sharma

D.Harshit Saumithra

Ans:A

6.The Scheme
“Project Arrow”is related to which among the following term?

A.Medicine

B.Postal Department*

C.Telephone department

D.Infrastructure facility

Ans:B

7.In 2015
which among the following crop in Kerala get the “Baumasuchika”title?

A.Pokkali Rice

B.Vazhakulam Pinapple

C.Wayanad Gadhakasala Rice

D.Changalikodan*

Ans:D

8.In 2015
Which among the following film won the title “Suvarnachakoram”in Kerala
International Film Festival?

A.Shadow behind the moon

B.Ottal*

C.Ozhivu Divasathe kali

D.Jalal’s story

Ans:B

9.The
American Spacecraft New Horizon is launched to study which among the following
planet?

A.Moon

B.Pluto*

C.Mars

D.Venus

Ans:B

10.Which
amongt the following Constitutional Amendment Act is related to the Land
Boundary Agreement between
India and Bangladesh?

A.100*

B.119

C.110

D.112

Ans:A

11.The best
teacher is one who is capable of----------

A.Giving a good result

B.Inspiring the students to learn*

C.Completing the topic in time

D.Helping the students in preparing notes

Ans:B

12.’Learning
by Doing’principle is reflected in-------

A.Realism

B.Idealism

C.Pragmatism*

D.Naturalism

Ans:C

13.In
inductive reasoning,one proceeds from

A.Particular to general*

B.General to particular

C.Rational to empirical

D.None of these

Ans:A

14.Which of
the following is a projective aid for teaching?

A.Still model

B.Working model

C.Charts

D.Slides*

Ans:D

15.The most
significant system of evaluation is--------

A.Formative evaluation

B.Summative evaluation

C.Continuous and Comprehensive evaluation*

D.Continuous evaluation

Ans:C

16.Characteristics
of descriptive research studies are

A.They do not involve hypothesis formulation and testing

B.They use logical methods of inductive-deductive reasoning
to arrive at generalizations*

C.They never employ methods of randomization in sampling

D.The variables and procedures are not described accurately
and completely

Ans:B

17.Conditions
or characteristics that the experimenter manipulates or controls in his or her
attempt to ascertain
their relationship to observed phenomena are called------

A.Independent variables*

B.Dependent variables

C.Confounding variables

D.None of these

Ans:A

18.Types of
experimental validity are

A.Content and construct validity

B.Statistical validity

C.Internal validity

D.Internal validity,external validity,statistical validity
and construct validity*

Ans:D

19.Qualitative
research focuses on--------

A.In depth interview only

B.Observations only

C.Document analysis,in-depth interview and observations*

D.Document analysis only

Ans:C

20.Probability based sampling
method is---------

A.Stratified sampling*

B.Purposive sampling

C.Random sampling

D.Judgement sampling

Ans:A

21.The case
known as’Privy Purse Case’is:

A.R.C.Cooper v.Union of India

B.Ashok Kumar Yadav v.Haryana

C.West Bengal v.Nripendra Nath

D.Madhav Rao Scindia v Uol*

Ans:D

22.In which
of the following cases did the Supreme Court declare Salwa Jundum as
unconstitutional?

A.Kihoto Hollohan v.Zachillu

B.Pratap Singh v.Jharkhand

C.Nandini Sundar v.Chattisgarh*

D.Pooran v.State of U.P

Ans:C

23.No law
made by the Parliament and having extra-territorial operation will be deemed

A.Invalid*

B.Void

C.Constitutional

D.Valid

Ans:A

24.A
legislative Bill which contains only provision dealing with giving of a
guarantee by the Government of India is

A.Financial Bill

B.A money Bill*

C.Ordinary Bill

D.All of the above

Ans:B

25.The total
number of Ministers including the Prime Minister in the Council of Ministers
should be not exceed
------------percent of the total members of the House of the People.

A.15*

B.20

C.10

D.None of the above

Ans:A

26.The
maximum amount of fine that can be imposed on the respondent who violates a
protection order issued
under the Protection of Women from Domestic
Violence Act is

A.Ten Thousand Rupees

B.Fifty Thousand Rupees

C.Twenty Thousand Rupees*

D.None of these

Ans:C

27.National
Parks are notified under

A.Indian Forests Act

B.Forest Conservation Act

C.Environment Protection Act

D.Wild Life Protection Act*

Ans:D

28.The
minimum age of donor of human organ is

A.20 years

B.18 years*

C.21 years

D.25 years

Ans:B

29.Under the
Right to Education Act,’elementary education’means education from first class
to

A.Fourth class

B.Seventh class

C.Fifth class

D.Eighth class*

Ans:D

30.Under the
Right to Information Act,disclosure of an information on an incident concerning
the economic interest of
the State

A.Is not at all exempted

B.Can made 15 year after the incident

C.Is normally exempted from disclosure but can be released
20 years after the incident*

D.Is normally exempted from disclosure but can be released
15 years after the incident

Ans:C

31.The area
of a triangle is equal to that of a square whose side measures 60 m.The side of
the triangle whose
corresponding altitude is 90 m is

A.60 m

B.40 m

C.80 m*

D.90 m

Ans:C

32.The height
of an arc of a circle is 10 cm and its diameter is 12.5 cm.The chord of the arc
is of length

A.10 cm*

B.12 cm

C.8 cm

D.11 cm

Ans:A

33.A sphere
of radius 4 cm is carved from a homogeneous sphere of radius 8 cm and mass 160
g.The mass of the
smaller sphere is

A.80g

B.60g

C.40g

D.20g*

Ans:D

34.A
pendulum swings through an angle of 30^{0}and describes an arc 8.8 cm
in length.The length of the pendulum is(Use Pie=22/7)

A.8.8 cm

B.16.8 cm*

C.12.4 cm

D.10.2 cm

Ans:B

35.A solid
cube is cut into two cuboids of equal volumes.The ratio of the total surface
area of the given cube
to that of one of the cuboids is

A.2:1

B.3:2*

C.4:1

D.4:3

Ans:B

37.2^{1000000}mod
7 is

A.5

B.3

C.2*

D.4

Ans:C

38.When x^{5}+x^{4}+5x^{2}-3
is divided by x+2,the remainder is

A.0

B.1*

C.2

D.3

Ans:B

39.A tree
with 7 vertices has---------edges.

A.8

B.7

C.5

D.6*

Ans:D

40.The
number of distinct spanning tress of K_{4} is

A.16*

B.12

C.32

D.8

Ans:A

41.If the
identity element e?S exists in a semigroup(S,?),then it is a

A.Group

B.Groupoid

C.Monoid*

D.None of the above

Ans:C

42.The
number of generators of(Z_{24},+)is

A.2

B.6

C.8*

D.10

Ans:C

43.A Sylow
3-subgroup of a group of order 12 has order

A.2

B.3*

C.1

D.12

Ans:B

45.Let Q be
the field of rational numbers and z_{2} is a field modulo 2.Then the
polynomial f(x)=x^{3}-9x^{2}+9x+3 is

A.Irreducible over Q but reducible over Z_{2}*

B.Irreducible over both Q and Z_{2}

C.Reducible over but irreducible over Z_{2}

D.Reducible over both Q and Z_{2}

Ans:A

48.Let V be
a finite dimensional vector space,*I* be the identity transformation on
V,then the null space of *I* is

Ans:{0}

49.If V is a
vector space with dim V=n,then the dimension of the hyperspace of V is

A.n

B.n-1*

C.n+1

D.0

Ans:B

50.Let V be
a vector space of all 2 x 2 matrices over R.Let *T* be the linear mapping *T*:v->v
such that T(A)=AB-BA
where B=[2 1[First row]0 3[Second row]].Then the nullify of *T* is

A.1*

B.2

C.3

D.4

Ans:A

51.Banach
space is a

A.Complete normed vector space *

B.Normed vector space

C.Complete vector space

D.None of the above

Ans:A

52.Which of
the following is true?

A.All normed spaces are inner product spaces

B.All inner product spaces are normed spaces*

C.All inner product spaces are Banach spaces

D.All inner product spaces are Hilbert spaces

Ans:B

53.Banach
space is a Hilbert space if

A.Pythagorean theorem holds

B.Projection theorem holds

C.Parallelogram law holds*

D.None of the above

Ans:C

54.If *T*
is a bounded linear operator on a Hilbert space *H*,which of the following
is not true?

A.*T* is normal if *T* is self-adjoint

B.*T* is normal if *T* is unitary

C.*T *is self-adjoint if *T* is normal*

D.None of the above

Ans:C

57.(x?y)+(x’+y’)is
equal to

Ans:1

58.Let a be
any element in a Boolean algebra B.If a+x=1 and ax=0,then

Ans:x=a’

59.Which of
the following is reflexive?

A.l^{2}*

B.l^{1}

C.L^{1}[a,b]

Ans:A

61.If S is a
non-empty set of real numbers,then

A.Inf S=Sup S

B.Inf S=-Sup(-S)*

C.Inf S=Sup(-S)

D.Inf S=-Sup S

Ans:B

62.Every
infinite set has

A.An uncountable subset

B.A countable subset*

C.Both countable and uncountable subsets

D.None of the above

Ans:B

63.A real
valued function f has discontinuity of the second kind at x=a if

A.f(a+)exist only

B.f(a-)exist only

C.Neither f(a+)nor f(a-)exist*

D.Both f(a+)and f(a-)exist

Ans:C

65.Every
open set of real numbers is the union of

A.Countable collection of disjoint closed intervals

B.Uncountable collection of disjoint closed intervals

C.Countable collection of disjoint open intervals*

D.Uncountable collection of disjoint open intervals

Ans:C

66.A set E
is nowhere dense if

A.Closure of E contains non-empty open sets

B.Closure of E contains non-empty open sets*

C.Closure of E contains empty open set

D.None of the above

Ans:B

67.If *f*_{1}and
*f*_{2} are two real-valued bounded functions defined on[a,b]then
for every partition p on[a,b]

Ans:U(p,*f*1+*f*2)lessthan equaltoU(*p*,*f*1)+U(*p*,*f*2)

68.If
f:[a,b]->R is continuous and monotonic function then

Ans:*f* is Riemann integrable on[a,b]

69.Which of
the following is true?

A.The set[0,1]is not countable

B.If *E*_{1}and* E*_{2 }are
Lebesgue measurable,then *E*_{1}?*E*_{2}is Lebesgue
measurable

C.The family *M *of Lebesgue measurable sets is an
algebra of sets

D.All of the above*

Ans:D

71.If *f *satisfies
the conditions of Lagrange’s mean value theorem and if *f*’(x)=0?x?[a,b],then
which of the following
is true?

Ans:*f* is constant on[a,b]

72.lim/z->0
z(bar)/z is

A.0

B.1

C.1/2

D.Does not exist*

Ans:D

76.The image
of the unit circle |z|=1 under the transformation w=2 z+z^{2} is

A.Circle

B.Straight line

C.Parabola

D.Cardioid*

Ans:D

77.If *X*
is any set,*T *is a collection of all subsets of *X* then(X,T)is

A.Discrete topology*

B.Indiscrete topology

C.Trivial topology

D.None of the above

Ans:A

78.Let X and
Y are topological spaces.The function *f* is a homemorphism if

A.*f*:X->Y is a bijective function

B.*f* is continuous

C.*f*^{-1}:Y->X is continuous

D.All of the above*

Ans:D

79.Every
compact subset of a Hausdorff space is

A.Closed set*

B.Open set

C.Null set

D.None of the above

Ans:A

80.The order
and degree of the differential equation

d/dx(d^{2}y/dx^{2})^{4}=0
is

A.1,4

B.2,4

C.3,1*

D.3,4

Ans:C

81.The value
of Wronskian W(x,x^{2},x^{3})is

A.2x^{2}

B.2x^{4}

C.2x^{3}*

D.x^{2}

Ans:C

84.The
orthogonal trajectory of the family of curves x^{2}-y^{2}=k is
given by

A.x^{2}+y^{2}=c

B.xy=c*

C.y=c

D.x=0

Ans:B

86.Stirling’s
formula is the ---------of Gauss’ forward and backward formulae.

A.Arithmetic mean*

B.Geometric mean

C.Harmonic mean

D.None of the above

Ans:A

87.The
interpolating polynomial of the highest degree which corresponds the functional
values *f*(-1)=9,*f*(0)=5,*f*(2)=3,*f*(5)=15 is

Ans:x^{2}-3x+5

89.The
minimizing curve must satisfy a differential equation called

A.Lagrange’s equation

B.Euler-Lagrange equation*

C.Gauss equation

D.None of the above

Ans:B

90.A solid
figure of revolution,for a given surface area,has maximum volume is in the case
of

A.A circle

B.A sphere*

C.An ellipse

D.A parabola

Ans:B

91.A rigid
body moving in space with one point fixed
has degree of freedom

A.3*

B.1

C.6

D.9

Ans:A

95.Using
Fourier series,representing x in the interval [-pie,pie],the sum of the series

1-1/3+1/5-1/7+……is

A.0

B.1

C.pie/2

D.pie/4*

Ans:D

96.The only
idempotent t-conorm is

A.Algebraic sum

B.Drastic union

C.Standard fuzzy union*

D.Bounded sum

Ans:C

97.Using
fuzzy arithmetic operations on intervals[4,10]/[1,2]is

A.[4,5]

B.[2,10]*

C.[2,8]

D.[4,20]

Ans:B

100.Let X be
a non-empty compact Hausdorff space.If every point of ?? is a limit point of
X,then

A.X is disjoint

B.X is countable

C.X is uncountable*

D.None of the above

Ans:C

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