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# CSIT Entrance 2069

### Mathematics

If f(x) = $\sqrt{4-{x}^{2}}$ then f(2) is

0

4

2

-2

2. If |x| = 2 then the solution set is

{2,2}

{-2,2}

(-2,2)

{-2,2)

3. If A,B and C are non-empty set and A ⊂ B the A ∩ B is

B

A

empty sets

C

4. The smallest prime memeber is

1

0

2

-1

5. The curve y2 - 4x is symmetric about

Y axis

X axis

both axis

orgin

6. The value of x for $\sum _{i=1}^{2}\left(xi-4\right)=13$

8

7

1

-7

7. The matrix A = is

symmetrical

skew symmetric

diagonal

unit

The value of $\left[\begin{array}{ccc}0& 1& 2\\ 0& 1& 2\\ 1& 2& 3\end{array}\right]$ is

0

1

-1

2

The value of (1-ω)(1-ω2, where ω is the cube root of a complex number is

0

1

2

3

10. The magnitude of 2 - i is

13

5

1

13

11. 1 and 2 are the root of

x2 - 3x + 2 = 0

x2 + 3x + 2 = 0

x2 + x + 2

x2 + 3x + 1 = 0

The value of tan(tan-1 1) is

0

1

-1

3

13. The solutions of cosx = 1/2 is

2nπ

π/3

2nπ ± π/3

2nπ + π/3

14. The length of the perpendicular from of (0,0) to the line x + y + 1 = 0 is

$\frac{1}{\sqrt{2}}$

$\sqrt{2}$

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

$-\sqrt{2}$

15. The angle between the line 2x2 + xy - 2y2 = 0 is

45°

135°

90°

16. Center of the circle x2 + y2 = 10 at (2,3) is

(1,2)

(0,0)

(2,1)

(2,2)

17. Equation of tangent to the circle x2 + y2 = 10 at (2,3) is

x + y = 10

x + 2y = 10

2x + 3y = 10

2x + y = 10

$\underset{x\to \mathrm{\infty }}{lim}\frac{{x}^{3}-{2}^{3}}{x-2}$ is

12

6

9

0/0

$\underset{x\to \mathrm{\infty }}{lim}\frac{tanx-5x}{x}$ is equal to

6

5

0

0/0

the function $f\left(x\right)=x+2\left(x>=2\right)$ and $2x\left(x<2\right)$ is continuous at

x = 0

x = 2

x = -2

x = 1

21. If the derivative of x2 + 3x is 1, then the value of x is

0

-1

2

5

22. If x = 2t + 1 and y = t2, then dy/dt is

t

1/t

2t

0

The points of inflection for the curve x2 + 4x is

0

1

6

-1

24. $2{\int }_{0}^{1}xdx$ is equal to

0

1

-1

2

$\int cosxdx$ is equal to

sinx

$\frac{-cosx}{2}$

$\frac{sin2x}{2}$

$2sin2x$

### English

26 ............ his project was not completed, he was given permission to leave

Although

in spite of

as it

despite

27. Rajendra is ............ hard working and friendly.

But also

Both

as well as

not only

28. More than one hundred people ......... to the meeting

have come

has come

is comming

was comming

29. Mr. Thakuri speaks both Nepali ........... Maithili very perfectly

As well as

and also

and

with

30. Reading, observing, teaching and ........... are good ways to gain knowledge.

Discussion

discussing

to discuss

discussing

31. The river narayani flow through ......... Narayanghat.

an

a

the

no article

32. In recent years people have been more converned .......... quality of drinking water.

with

for

of

33. She was killed ........... a robber .......... a gun

by , for

by , with

in , for

with , for

34. A well experienced person is .........

lawyer

cosompolitan

veteran

teacher

35. The doubt ....... gita will come.

that

if

when

why

they walk very fast. The underline work is ................

preposition

48. The passive of they heard me sing a song

i was heard to sing a song

I Was heard sing a song

I was heard singing a song

i was heard to sing a song by them

50. The indirect of : He said, "Congratulation".

He said that congratulations

He congratulated me

He Congratulated that I passed

He said that i deserved congratulations

### Physics

53. The duration in which the displacement becomes half the amplitude in the case of simple harmonic motion if its period is 12 second is.

6 sec

3 sec

2 sec

1 sec

52. The train of length 600m is travelling with a velocity of 64km/hr. The time taken by the train to cross clearly a bridge of 1km will be

1.5 sec

1.5 min

15 sec

15 min

53. Which of the following pairs of physical quantities has the same dimension?

Work and Power

Energy and Power

Work and Energy

Angular Momentum and Linear momentum

54. A body of mass 1 kg is rotated in a horizontal crcle of radius 50cm. If F and V represent the centripetal force and the contant speed respectively, which one of the following expressions may be correct?

$V-\sqrt{F}$

$V-\sqrt{2F}$

$V-\frac{1}{2}\sqrt{F}$

$V-\sqrt{\frac{F}{2}}$

55. The root mean square (rms) speed of hydrogen molecule at STP is 2km per second. The rms speed of oxygen molecule at 810°C is

2km-1

1kms-1

0.5 km s-1

4 km s-1

56. Bolometer measures the

coefficient of thermal conductivity

thermo emf

specific heat

57. A temperature of 14°F is equivalent to

296K

263K

250 K

1.5 ° C

58. A myopic eye cannot see object beyond 1.5m. What power of lens will be required to correct this defect of vision?

1.5 D

0.66 D

-1.5 D

-0.66 D

59. The critical angel of glass water interface is

sin-1(8/9)

sin-1(4/5)

sin-1(3/4)

sin-1(2/3)

60. A Diffraction granting has 5000 lines per cm. The maximum order visible with the radiation of wavelength 600 nm in diffraction experiment.

2

3

4

0

61. Light travels through a glass of thickness t and refractive index n. If C is the velocity of light in vacuum, the time taken by light to travel this thickness is

t/ne

cnt

nt/c

tc/n

62. Two charges of 2μC and 4μC are 1m apart. The electric field intensity is zero at a point between the charges. This point is approzimately at a a distance.

50 cm from 2μC charge

59 cm from 2μC charge

41 cm from 2μC charge

66 cm from 2μC charge

6. An open organ pipe can produce

only odd harmonics

only even harmonics

both odd and even harmonics

depends upon the length of pipe

64. Watt per ampere is the unit of

electric potential

electric field intensity

electric power

electric energy

65. Two wires A and B of equal radii are drawn from the same material. Their lengths are 1m and 2m respectively. The resistivity of A is.

less than that of B

equal to that of B

more than that of B

depends upon the amount of current flowing in wires

66. When a capacitor is added in series in an LCR circuit, the impedance of the circuit

increase

decrease

remain unchanged

increases or decreases depending upon the frequency of a.c

67. A cell of emf X if connected across a resist of R. The potentional difference across the wire is measured as Y. The internal resistance of the cell should be

X - (Y/R)

(X-Y)R

(X-Y)R/X

(X-Y)R/Y

68. The ratio of wavelength of the first line of lyman series to the lime balmer series is

5:27

20:27

27:20

1:4

69. If work function of a metal is 3.3eV, the threshold frequency in photoelectric effect will be

1 × 1015 Hz

8 × 1014 Hz

4 × 1016 Hz

6 × 1017 Hz

70. A radioactive material of half life 5 days has its initial mass of 1 kg. the amount decayed after 20 days will be

125 g

250 g

550 g

875 g

71. A charged particle is undergoing a circular motion in a uniform magnetic field. The time period is independent of

speed

mass

charge

magnetic induction

72. Velocity of sound in a glass is 330 ms-1 at STP. Its value at 300k was nearly be

250 ms-1

300 ms-1

360 ms-1

450 ms-1

71. Time of flight T of a projectile is related to the horizontal range R by and equation gT2 - 2R. The angle of projection (in degrees) is

90°

60°

45°

30°

74. An electron in a field of 1 NC-1 will have an approximate acceleration.

1.7 x 1011 ms-2

1 x 106 ms-2

1 x 1012 ms-2

1 x 107 ms-2

75. A bullet get heated if stopped by a target. If its velocity is doubled the rise in temperature of the bullet will be

same

2 times

4 times

16 times

### Chemistry

76. Paraffin's are also called

alkanes

alkenes

alkynes

ethylenes

77. A green color formed in Lassaigne's test if nitrogen is present in an organic compound. This green color is due to formation of

Fe4[Fe(CN)6]

Fe(CNS)

Na4[Fe(CN)5NOS]

Na[Fe(CN)6]

78. Al4C3 reacts with water to give

C2H4

C2H2

H2

CG4

79. Aniline on warming with Benz aldehyde

acetanilide

benzalinide

schiff's base

phenol

80. Which of the following compounds is used as the best anti-knocking agent

Methane

Methoxy Propane

Methyl Cynide

81. Chloroform react with concentrated HNO3 on heating and yields

chloretone

chloropierin

carbon tetrachloride

carbonyl chloride

82. Which of the following reagents is used to detect the aldehyde group

Ninhydrin Reagent

Tollen's reagent

Grignard reagent

Baeyer's Reagent

83. Terylene is a

condensation polymer

polyamide

polyimide

84. The formula of Zinc blende is

ZnCO3

ZnS

ZnO

ZnO.Fe2O3

85. The oxidation state of iron in Mohr's salt is

+2

+3

+1

0

86. Which of the following oxides is acidic?

FeO

CO2

CO

CaO

87. The structure of ammonia molecule is

V-shaped

tetrahedral

Linear

Trigonal pyramidal

88. Orthophosphoric acid is

Monobasic acid

dibasic acid

Tribasic Acid

Tetrabasic Acid

89. The formula of Epsom salt is

MgSO4.7H2O

MgO

CaSO4.2H2O

CaO

Ostwald's process is used for the manufacture of

Sulphuric acid

nitric acid

ammonia

white phosphorus

91. Among the following elements, the one having highest electron affinity is

chlorine

fluorine

iodine

bromine

92. 44 gm of CO2 is equal to

6.023 x 1023 no of CO2 molecule

6.023 x 1021 no of CO2 molecule

6.023 x 1019 no of CO2molecule

6.023 x 1018 no of CO2 molecule

93. Equivalent weight of potassium dichromate in acidic medium is equal to

Mol wt/1

Mol wt/6

Mol wt/3

Mol wt/5

94. The weight of sodium carbonate required to prepare 100 mL of dicinormal sodium carbonate solution is

0.5 gm

5.3 gm

0.053 gm

5.6 gm

Which of the following is the unit of surface tension?

dynes.cm

dynes.cm-1

dynes.cm2

dynes.cm-2

96. Electrons will distribute themselves in degenerate orbitals so as to retain parallel spin as much as possible. This is called

Hund's Rule

Aufbau principle

Uncertainty Principle

Paul's exclusion principle

97. The actual electronic configuration of copper is

[Ar]4s2d8

[Ar]4s13d10

[Ar]4s23d10

[Ar]4s23d8

98. If the pH of a solution is 5.2, the hydrogen ion concentration of the solution is

6.3 x 10-5M

6.3 x 10 -6M

6.3 x 10-7M

6.3 x 10-4M

99. The unit of rate of constant for first order reaction is.

sec-1

mol sec-1

mol-1 sec-1

liter2mol-2s-1

100. The enthalpy of formation of the compound is

always positive

always negative

can be positive or negative

unpredictable

I there is