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# CSIT Entrance 2073 ### Mathematics

1. Which one is not a logical statement

If you work hard, you will pass

I am sick

The sun rises in the west

30 is a number

2. If |x - 2| = 5, then x is in

{3,5}

{3,∞}

{2,5}

{-3,7}

3. A - B =

B - A

A' - B'

B' - A'

B' - A

4. If f(x) = 2x = 3 then f-1(x)

(x + 3)/2

1/(2x - 3)

1/(3-2x)

1/(2x + 3)

5. The period of the function f(x) = sin(45 + 5) is

π / 2

π

6. The fourth, seventh and tenth terms of G.P are 1,m,n respectively then

lm = m2

l2 = m2 + n2

l2 = mn

n2 = lm

7. The nth term of the series : 1.3 + 3.5 + 5.7 + ... is

(n+1)(n+2)

(n+1)(n+3)

4n2-1

n(n-1)

8. The value of sin(cos-1x) is

x

1-x2

1+x2

$\sqrt{1-{x}^{2}}$

9. If cosec x2x - 2 = 0, then x is

± π/6

± π/4

nπ ± π/4

nπ+π/2

10. If $\left[\begin{array}{ccc}k& 1& 0\\ 2& 0& k\\ 0& 2& -1\end{array}\right]$ = 0, then k =

1

-1

0

± 1

11. The value of x for which A = $\left[\begin{array}{cc}6& x-3\\ 3& x\end{array}\right]$ has no inverse is

0

1

-2

2

12. If the system of equation has zero solutions only then the solution is

non trivial

trivial

unique

particular

13. (1 + i)6 + (1 - i)6 =

0

i

1

-1

14. $\left(\frac{2i}{1+i}{\right)}^{2}$

-i

1+i

2i

-2i

15. If one root of 5x2 + 2x - k = 0 is the reciprocal of the other than k =

-5

5

2/5

5/2

16. The equation x2 - 2xy + y2 + 3x - 2 = 0 represents:

hyperbola

parabola

ellipse

circle

17. The area of the triangle with vertices (1,-1),(-1,1) and (-1,-1) is

1/2

-2

2

0

18. $\underset{x\to \infty }{lim}\frac{1+2+...+n}{{n}^{2}}=$

1/2

0

1/n

n

19. $\underset{x\to \infty }{lim}\frac{5{x}^{2}+4xtanx}{{x}^{2}}=$ =

9

0

5

4

20. If y = $\sqrt{x+\sqrt{x+\sqrt{x+.....}}}$ then $\frac{dy}{dx}$ =

2

$\sqrt{{x}^{3}}$

$\frac{\sqrt{x}}{2y-1}$

$\frac{1}{\left(2y-1\right)}$

21. if $y={e}^{\sqrt{a{x}^{2}+b}}$ then $\frac{dy}{dx}=2$

$\frac{axy}{\sqrt{a{x}^{2}+b}}$

$\frac{axy}{\sqrt{a{x}^{2}+b}}{e}^{\sqrt{a{x}^{2}+b}}$

$\frac{x}{\sqrt{a{x}^{2}+b}}$

${e}^{\sqrt{a{x}^{2}+b}}$

22. $\int \frac{dx}{1-{x}^{2}}=$

cos-1x + c

$\frac{1}{2}ln|\frac{1-x}{1+x}|+c$

sin-1x + c

$\frac{1}{2}ln|\frac{1+x}{1-x}|$

23. ${\int }_{1}^{2}\frac{sin\left(lnt\right)}{1}dt=$=

1-cos(ln2)

cos2

cos(ln2)

1+cos(ln2)

24. The critical points for f(x) = x3 - 3x are:

± 3

± √3

± 1

0, ± √3

25. The area bounded by the a-axis and the curve y = x3 and ordinates of x - 2 and x - 4 is

60 sq units

256 sq units

240 sq units

272 sq. units

### English

26. Government has a lot to ......... road accidents.

27. He inherited a fortune and ........ it in a year

ran into

ran over

ran through

ran onto

28. His father blamed him but his mother ....... and said he had acted sensibly.

stand for

stand up to

stand out

stand up for

29. Do you ........ me ...... a fool?

take, for

take, in

take, to

take, after

30. The captain ........, not realizing that the icebergs were so close.

turn in

turn on

turn away

turn down

31. After a month's treatment at a hospital my brother is ........

As good as good

as gay as a lark

as fit as a fiddle

Direction: Select the word/phrases which is closes to the opposite or similar in meaning of the word.

32. Squeamish

Very Dirty

Gullible

easily upset

braggart

33. Bramble (Similar meaning)

Wild Cat

Wild bush with thorn

tall plant

wild animal

34. Congruous (similar meaning)

consistent

covert

Irregular

clamorous

35. Savior (opposite meaning)

protector

destroyer

nurturer

designer

36. Scabrous (opposite meaning)

scaly

scabby

decent

zigzag

37. un-availing (opposite meaning)

unavailable

repast

successful

rare

Direction: Select the proper prepositions and conjunctions to fill in the blanks in the following questions:

38. He died .......... cancer but she died ...... a train accident

out, at

off, by

for,in

of, in

39. Divide forty .......... Eight but divide these apples ....... the two children

for, among

at, between

in, among

by, between

40. It is a lovely place to live .......

in

for

for, in

of, in

41. Divide forty ....... eight but divide these apples ....... the two children.

for, among

at, between

in, among

by, between, of

42. It is lovely place to live........

in

for

at

by

43. He is angry ...... and indiffrent ........ me

from , from

by, by

with, to

during

44. You alone can relieve me .......... This anxiety

from

of

in

during

45. He took the food play with your watch

should

in case

lest

might

Direction : Each of the following idioms an phrases is followed by four explations. Mark the one that best explained its meaning.

46. On the bottle

Toetotaler

Vegetatian

Drinking a lot

avoid alcohol

47. On the rocks

in great success

in serious trouble

heavy star

in progress

48. Call it a night

stop some activity

feel lazy

enjoy the night

belated activity

49. Bide one's time

to be punctual

swearing frequently

use rough language

act like a soldier

50. Over the hill

high land

mountain area

most difficult part

### Physics

51. In the gas equation (p + a /v 2)(v - b) = RT, the dimensions of 'a' are

ML2T-2

ML5T-2

L6

L -6

52. The number of significant figures in 1400 are

0

1

2

4

53. A man walks 8 m forwards East and 6m towards North. The magnitude of displacement is

14m

2m

8m

(82 + 62)m

54. If initial velocity of a projectile is doubled, the maximum range will by

2 times

4 times

8 times

16 times

55. Which of the following friction is maximum?

rolling

Kinetic

rolling + kinetic

static

56. If the speed of rotation of earth increases, the weight of the body earth’s surface becomes

smaller

zero

greater

unaffected

57. A weightless rubber balloon has 100g of water in it. Its weight in water will be

100g

50g

> 100g

zero

58. The temperature of a substance increase by 270°C. This increase is equal to

300k

0k

27k

273k

59. Which of the following gases possess maximum rans speed at a given temperature?

H2

N2

O2

H6

60. The black body emits

Line spectrum

band spectrum

continuous spectrum

mixed spectrum

61. The field of view is maximum for.

plane mirror

concave mirror

convex spectrum

Cylindrical mirror

62. The sky seen from earth appears blue because of

scattering of lights

dispersion of lights

reflection

polarization

63. A person cannot see objects clearly beyond 50 cm. The power of the lens to correct the vision is

+5D

-5 D

-0.5 D

-2 D

64. An isolated conducting sphere is given a positive charge. It's mass

increases

decreases

remains constant

may increase or decrease depending on the material

65. Three capacitors each of capacitance 3pF are connected in series. The net capacitance is

1μF

(1/3)μF

3μF

9μF

66. Kirchoff's voltage law is based on the principle of conservation of.

charge

energy

momentum

mass of charges

67. A charged particle is in a strong magnetic field. Then its kinetic energy

increase

decrease

remain constant

increase and become constant

68. The self-inductance of a straight wire is

zero

infinity

negative

positive

69. The photoelectric is based on the law of conservation of.

energy

mass

momentum

angular momentum of photons

70. When a radioactive element emits a β-particle the mass number of the atom

increase by one

decreases by one

remains the same

decreases by four

71. On increasing the reserve bias to a large value in a p-n junction diode, the current

increase slowly

remains fixed

decreases slowly

suddenly increases

72. The equation of sound wave is y = 0.0015 sin(62.4x + 316t) the wave length of sound wave is

0.2 unit

0.1 unit

3.3 unit

not known from the given equation

73. A wave is reflected from a rigid support. The change of phase on reflection will be

0

π / 2

π / 4

π

74. A car is ar rest playing "HORN". If it start moving towards you, the pitch heard would be

higher

less

same

nil

75. In which region of electromagnetic spectrum does the layman series of atom Lie?

Ultraviolet

visible

infrared

microwave

### Chemistry

76. The oxidation of Fe in K3[Fe(CN)6] is

+2

+3

+4

+5

77. How many oxygen atoms are present in 8.0 gm of oxygen?

6.023 x 1023

3.0115 x 1023

7.8 x 1023

5.8 x 1023

78. "Atomic Orbitals are filled up in the ground state inorder of increasing energy level". This statement is called

Pauli's Exclusion Principle

Hund's rule

Aufbau Principle

Heisenberg's Uncertainity Principle

79. The spectral region for the Lyman series of hydrogen spectrum lies in the

infrared region

visible region

ultra-violet region

microwave region

80. The crystal structure of sodium chloride is

body centered cubic

simple cubic

hexagonal

face centered cubic

81. Which of the following halogens has higest electrons affinity

Fluoring

iodine

bromine

chlorine

82. Ammonia is manufacture by

Haber's Process

Contact Process

Down's Process

Ostwald's Process

83. An example of acidic oxide is

SO2

N2O

CO

ZnO

84. The shape of BeF2 molecule on the bases of VSEPR theory is:

trigonal planar

linear

tetrahedral

Trigonal Bi-pyramidal

85. Which of the following compound is not a primary standard substance?

oxalic acid

potassium dichromate

potassium bromated

potassium permanganate

86. An example of Lewis base is

BF3

SnCl4

FeCl3

NH3

87. The unit of equivalent conductivity is

Scm2 equivalent-1

Ohm.cm

S cm-1

S cm2 mole-1

88. 1 calorie is equals to

4.184 Joules

5.174 Joules

6.184 Joules

3.184 Joules

89. Gibb's Helmholtz equation is

ΔE = Q + W

ΔG = ΔH - TΔS

G = H + TS

ΔE = Q - W

90. The unit of rate constant for third order reaction is

S-1

mol-2L2x-1

mol-1LS-1

molL-1s-1

91. The reaction of benzene with alkyl chloride in presence of anhydrous AlCl3

Friedel Craft's reaction

Wurtz's reaction

Reimer Tiemann's reaction

Grignard reaction

92. Primary, secondary and tertiary alcohols are distinguished by

Victor Meyer's Test

Tollen's Reagent

Hoffman's Test

Beilstein's Test

93. Williamson's synthesis is used for the preparation of

alcohol

aldehyde

ketone

ether

94. The catalyst used in Rosenmund's reaction is

Pd-CuSO4

Pd-CaSO4

Pd-CuCl2

Pd-BaSO4

95. The reaction of Phenol with concentrated nitric acid and concentrated Sulphuric acid gives:

picric acid

2-nitrophenol

4-nitrophenol

aniline

96. When benzamide is treated with aqueous Br2 in presence of aqueous alkali, the product formed is:

aniline

benzene

toluene

nitrosoamine

97. Amino acid contains

-OH group

-CHO group

-NH2 and -COOH Groups

-CO group

98. Martius yellow is an example of

direct dyes

acid dyes

basic dyes

mordant dyes

99. The molecular formula of green vitrol is

FeCl3

FeSO4.7H2O

ZnSO4.7H2O

CuSO4.5H2O

100. Which is the most important ore of Zinc

Zincite

Zinc Blende

Framklinite

Wilemite I there is