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For B.E. Entrance Preparation, Contact PEA, Thapathali, KTM.01-4257187 Page 1

Model: 1

TRIBHUWAN UNIVERSITY

INSTITUTE OF ENGINEERING

B.E Model Entrance Examination

Full Marks : 175 Times : 3hrsSectionI

Select the best alternatives: (65 x 1= 65)

1. If A and B are two given sets, then A(AB)cis equal to

a. A b. B c. d. A Bc

2. If z =2

3 i, then z69 is equal to

a. 1 b. -1 c. i d.i

3. The expansion of 3)38(

1 x in terms of

power of x valid only for

a. |x| < 3/8 b |x|3/8 d. |x|>8/3

4. If y = 2sinx, then y250+ y251 is equal to

a. 2 b. 4 c. 1 d. 5

5. Maximum value of a + b if ab = 36 is

a. 12 b. -12 c. 14 d. -14

6. logx x dx is equal to

a.2

2x+ c b.

3

3x+ c

c.2

x+ c d.

3

2 3x+ c

7. In any triangle ABC if

c

C

b

B

a

A coscoscos and b = 4 then the

area ofABC is equal to

a. 3 b. 4 3 c. 4 2 d. 3 2

8. If two normals at t1 and t2 on parabola y2 = 4ax

meet the parabola again at t3 then

a. t1t2= -1 b. t1t2 =2

c. t1t2 = -1 d. t1t2 = -2

9. In 3Dthe equations z = 5 and y = -4 together

represents

a. zyplane

b. z axis

c. line parallel to x- axis

d. line parallel to yaxis

10. If a b | a | | b |. then a

and b

are

a. perpendicular b. both zero vectorsc. unlike parallel d. like parallel

11. There are -------- syllables in the word

unpretentious.

a. two b. three c. four d. five

12. The word grammatical carries the primary

stress on its------------ syllable.a. first b. second c. third d. fourth

13. Vestige means ----------a. remnant b. gay

c. glib d. vagabond

14. The antonym of benevolent is ----------

a. malignant b. malevolent

c. release d. placid

15. Call-------- me tomorrow.

a. at b. for c on d. to

16. Let us dispense --------- his services.

a. for b. at c. with d. in

17. Tick on the correct sentence.a. He informed that every body had gone

against him.

b. She told that she was interested in chess.

c. He assured me that every help would be

given.

d. All of these.

18. I ----------- of attending the party, but could

not.

a. thought b. had thought

c. have thought d. none of these19. The evil that men do ----------- after them.

a. live b. lives c. lived d. living

20. No other flower is as ----------- as rose.

a. lovely b. lovelier

c. loveliest d. both (b) and (c)

21. Tick on the compound sentence.

a. If you do not waste, you will not want.

b. Waste not, want not.

c. If you do not waste, you do not want.

d. If you waste, you will be successful

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22. We drink ---------- water.

a. a b. the

c. both (a) and (b) d. No article

23. She talked as if she ---------- everything.

a. had known b. knew

c would have d. knows24. I hate people------------- at me.

a. look b. looking

c. to look d. both (a) and (b)

25. The pattern for the sentence She lay smiling

at me. is ------------

a. S + V + O

b. S + Vi + Gerund

c. S + Vi + Present Participle

d. S + V + Participle

26. Two forces of 10N each act on an object, theangle between the forces is 1200. The

magnitude of their resultant is

a. 10N b. 14N c. 17N d. 20N

27. The speed needed to put a satellite in orbit

does not depends upon

a. radius of orbit b. shape of orbit

c. value of g on orbit d. mass of satellite

28. Buoyancy occurs because with increasing

depth in a fluid

a. Pressure increasesb. pressure decreases

c. density increases

d. density decreases

29. A process not involved in the operating cycle

of a car not engine is

a. an isothermal expansion

b. an isobaric expansion

c. adiabatic compression

d. adiabatic expansion

30. The velocity of sound in oxygen & hydrogen

have the ratio

a. 1:1 b. 1:2 c. 1:3 d. 1: 4

31. The chemical behaviour of an atom is

determined by

a. charge of nucleus

b. mass of nucleus

c. binding energy

d. number of isotopes

32. Which of the following is conserved when

light wave interfere?

a. intensity b. energy

c. mass d. amplitude

33. As the temperature of conductor increases its

resistivity and conductivity change. The ratio

of resistivity to conductivity is

a. increasesb. decreases

c. remain constant

d. may increases or decreases depending on

temp.

34. n capacitors of equal capacitance are first

connected in series and then in parallel. The

ratio of maximum to minimum capacitance is

a. n2 b. 1/n c. n d. 1/n2

35. If an electron jump from 1st orbit to 3rd orbit

then it willa. absorb energy b. release energy

c. no gain of energy d. None of above

36. How many proton, electron and neutron are

present in the element 21X43?

a. 22, 21, 21 b. 21, 21, 22

c. 22, 22, 22 d. 22, 21, 22

37. The electronic configuration of an element is 2,

8,1. Which of the following statement is true?

a. It is diatomic

b. It is non-metalc. It is a transition metal

d. If forms basic oxides.

38. In the following equation the value of x is

a. 2S2 2-

3O S4 2-6O + xe

a. 2e b. 3e c. 4e d. 5e

39. No. of elements present in fifth period of

periodic table is

a. 8 b. 10 c. 18 d. 32

40. Which of the following is conjugate acid of

NH2- ?

a. NH4+ b. NH+ c. NH3 d. NH4OH

41. No. of millimoles of HCl required to neutralize

10ml of 0.2M Na2CO3 is

a. 2 b. 4 c. 0.2 d. 0.4

42. 1 amu equals to

a. 1.66 x 10-24 gm b. 12gm

c. 1.9924 x 10-24gm d. 1gm43. Chemical formula of zeolite is

a. K2Al2SiO8 . x H2O b. CaAl2Si2O8

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c. Na2Al2Si2O8.x H2O d. Na2[Na4(PO3)6]

44. Yellow colour of usual nitric acid is due to

presence of

a. NO2 b. N2O c. NO d. N2O5

45. Tincture of iodine contains

a. I2+ KI + rectified spritc. KI + rectified spirit

b. I2 + rectified spirit

d. I2 + KI

46. The highest temperature is achieved in which

type of furnace?

a. Blast b. reverberatory

c. electric d. Muffle

47. Fusion mixture is

a. Na2CO3 + NaHCO3

b. K2CO3 + KHCO3c. Na2CO3 + K2CO3

d. NaHCO3 + KHCO3

48. Naphthalene can be purified by

a. crystallization b. sublimation

c. solvent extraction d. distillation

49. IUPAC name of acraldehyde is

a. prop-2-enal b. but -2- enal

c. propenal c. but -3-enal

50. Benzene diazonium chloride when treated with

water in presence of H3PO2yieldsa. Benzene hexachlodire

b. benzene

c. Ethene

d. Toluene

51. A drawing sheet has one face relatively rough

than the other face, a free hand sketch pencil

work is preferred on --------- face of the paper.

a. smooth b. rough c. any d. none

52. Drawing is made to half the actual size of

object. Which scale ratio does it represent its

correct dimension?

a. 3:1 b. 1:3 c. 1:2 d. 2: 1

53. In a group of 2H, H, HB, B, 2B type pencils,

the hardest pencil is --------- type

a. H b. B c. 2B d.2H

54. Short-dashed line that may be used to represent

edges that are not directly visible is known as -

-------- line

a. center b. visible

c. dash d. continuous

55. A circle is extruded from its centre to form an

apex, resulting solid is

a. cone b. pyramid

c. cylinder d. cube

56. In the 3rd angle projection, the object is

imagined to be placeda. blow H.P & behind V.P

b. Above HP & behind VP

c. Above HP & in front VP

d. Below HP & below V.P

57. In the given figure line AB is .. to the

circles.

a. External tangent b. Internal tangent

c. Cross tangent d. Parallel tangent

58. The included angle of regular pentagon is

a. 68 b. 72 c. 120 d. 108

59. With the help of a set square the angle multiple

of ------------- degree can be drawn

a. 30 b. 45 c. 15 d. 90

60. The ----- is generated by rotating an equilateral

triangle about its vertical axis

a. prisms b pyramids

c. cylinders d. cone

61. The top view of a helix on a cone has the shape

same as the ofa. cycloid b. Ellipse c. helix d. spiral

62. ------------- is always perpendicular to both

vertical plane & Horizontal plane.

a. PP b. VP c. HP d. AP

63. Scale of the drawing is 1:1000, the scale is

termed as

a. enlarging b. full sizec. reducing d. half size

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64. The major and minor axes of an ellipse are

100mm & 60mm respectively, what will be

the distance of its foci from the end of the

minor axis

a. 60mm b. 30mm

c. 50mm d. 100mm65. What is the ratio of length of sides of regular

heptagon to the length of side of regular

triangle, if both are inscribed in the circle?

a. 1/3 b. 7/3 c. 3/7 d. 1/2

SectionII

Select the best alternatives: [55x2=110]

66. The range of the function y =x3sin2

1

for

real x is

a.3

1 y1 b. -

3

1 y y >1 d.

3

1> y >1

67. If the sum of the first n terms of an A.P. is

nA + n2B where A and B are constants, then

the common difference of the A.P. is

a. A + B b. A- B c.2A d. 2B

68. If A =

iooi , n N then A4n is equal to

a. A b. A2

c.

10

01d.

10

01

69.

zyx

zyx

zyx

3log3log3log

2log2log2log

logloglog

=

a. log6 b. log(xyz)

c. 0 d. log(3xyz)

70. Total number of arrangements of letters of the

word ORDINATE, if vowels and constants

must alternate, is

a. 2.3!.4! b. 2.4!.4! c. 4!.4! d. 3!.4!

71. For non-zero vectors a

and b

if| a + b | | a -b | then a

and b

are

a. collinear

b. orthogonal

c. inclined at an actute angle

d. inclined at abtuse angle

72. If 2 + i 3 is a root of x2 + px + q = 0 where p

and q real, then (p, q) is

a. (7, 4) b. (-4, 7) c. (-4, 7i) d. (4i, -7)

73. If is an imaginary cube root of unity then

the value of sin[(10 + 23) - /4)] is

a. b. 3 / 2 c. 1/ 2 d. 1

74.ox

lim1sin x x

.sinx x

is equal to

a. 2 b. 0 c. 1 d. -1

75. If y = cos2x, then yn is equal to

a. 2n1cos

x

n2

2

b. 2n+1 cos

xn 22

c. 2n cos

x

n2

2

d. 0

76. The function f(x) = x3 6 x2 + 9x + 8 is

increasing in the interval

a. - (1, 3)b. - [1, 3)c. (-, 1] (3, ]

d. - [1, 3]

77. If x

x

41

2dx = k sin-1(2x) then x is equal to

a. log2/2 b. c. 1/ log2 d. 2 /log2

78. The area of the region bounded by y = |x1

and y = 1 is

a. 1 b. 2 c. d. 3/2

79. If the pair of straight lines ax2+ 2hxyay2 = 0

and bx2 + 2gxy by2 = 0 are such that each

pair bisects the angle between other, thena. gh + ab = 0 b. ag = bh

c. bg + ah = 0 d. abc = fgh

80. Two lines x + 2y + 3 = 0 and 2x + 3y + 4 = 0

are conjugate with respect to the circle

a. x2 +y2 = 9 b. 3x2 + 3y2 = 2

c. x2 + y2 = 3 d. 2x2 + 2y2 = 3

81. If the line y = mx + c is a normal to parabola

x2 = 4ay, then c is equal to

a.am32am b.am22a3

c. 2a + a/m

2

d. 2aa/m

2

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82. The difference of the focal distances of a

point on the hyperbola 9x225y2 = 225 is

a. 18 b. 10 c. 36 d. 50

83. If A plane meets the coordinate axes at A, B

and C such that centroid ofABC is (, , ),

then its equation isa. x + y + z + 3 = 0

b.

zyx =3

c.zyx

= 3

d.

zyx =1

84. The value of sin( 8

1cos4

1 1) is equal to

a.2

1b. -

2

1c.

22

1d. -

22

1

85. Two lines xcos + ysin = p1 and xcos +ysin = p2 will be perpendicular ifa. = b. | - | = /2c. = /2 d. + = /2

Read the passage carefully and select the

best alternatives: (86 - 90)

I do not suggest that the cultural side of

education should be ignored. On the contrary, I

think, it is essential to the production of the sort of

adult who best fits the modern world. But I think

that what is important in cultural education should

be conveyed, at any rate in the early stages, by

methods far more attractive than those now usual.History and Geography should be taught at first by

means of the cinema. When taught this way, they

will give pleasure; attention will be spontaneousand therefore the impression will be less

temporary. In spite of reforming movements, there

is still among educators a feeling that what isenjoyed without effort cannot have much

educational value. I would have children made

aware of the manners and customs of tribes and

nations utterly remote from their own. Education

conducted on these lines would do more than

many books to cure provincialism in space and

time and to make children realize than actual

human beings with actual feelings can be

outwardly very different from the people among

whom they live, but inwardly composed of the

same human material. A Zulu would not appearstrange, remote or savage but one like themselves.

Questions :

86. The writer said that the cultural side ofeducation is needed to make man

a. admire his environment

b. suitable for modern civilization

c. appreciate other civilizations

d. appreciate ones heritage

87. The writer criticized traditional educators for

not

a. imparting information about variouscultures

b. imparting information about remote tribes

c. making learning an enjoyable activity

d. using cinema as a method of teaching

88. The response of the learners to teachingthrough cinema is

a. superficial b.enthusiastic

c. long-lasting d. absorbing

89. The expression to cure provincialism in spaceand time means to get rid of

a. selfish opinion b. narrow views

c. obscure ideas d. regional feelings

90. One of the goals of education should be tomake children realize that

a. there is a unified system of human valuesunderneath cultural diversity

b. they must respect values of alien culture

c. regional cultures should not be ignored

d. human culture is diverse

91. The gravitational force on a mass of 1kg at

the earths surface is 10N. What would be the

gravitational force on a satellite of mass

100kg in a circular orbit of radius 2R from

the center of earth?

a. 150N b. 250N

c. 1000N d. 500N

92. 8 drops of same radius are falling through air

with steady velocity of 2cm/sec. If these

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drops coalesce. What would be new terminal

velocity?

a. 2cm/sec b. 4cm/sec

c. 8cm/sec d. 12cm/sec

93. A car moving along a straight horizontal road

with a speed of 72km/hr. If the coefficient ofstatic friction between the tires and the road

in 0.5. The shortest distance in which car can

be stopped is

a. 30m b. 40m

c. 72m d. 20m

94. A ball of 80 kg hits an ice cube. Temperature

of ball is 1000c. The mass of ice become

water, if specific heat capacity of metal is 0.2

ca/g0c is

a. 20g b. 2gc. 200g d. 20kg

95. A body of mass 25kg is suspended from a

sonometer wire, when it vibrates with

frequency 200Hz. If the volume of the body

is 0.009m3 and it is immersed is water then

the frequency of vibrating of the wire will be

a. 160Hz b. 200Hz

c. 240Hz d. 260Hz

96. At constant temperature on increasing the

pressure of gas by 5% will decrease itsvolume by

a. 4.46% b. 4.56%

c. 4.66% d. 4.76%

97. Light of wavelength 6328 is incident on a

slit having a width of 0.2mm. The width of

central maximum, measured from minimum

to minimum of the diffraction pattern on a

screen 9m away will be

a. 0.36 b. 0.18

c. 072 d. 0.09

98. When plane mirror is placed horizontally on

level ground at a distance of 60m from the

foot of a tower, the top of the tower and its

image in the mirror substand an eye, at an

angle of 900, the height of the tower is

a. 30m b. 60m

c. 90m d. 120m

99. A slab of insulating materials 4 x 10-5 m thick

is introduced betn the plates of parallel plate

capacitor. The distance between the plates

has to be increased by 3.5 x 10 -5 m to restore

the original capacity the di-electric constant

of material is

a. 8 b. 6 c. 12 d. 10

100. At what distance from a long straight wire

carrying a current 12 A will be magnetic fieldequal to 3 x 10-5 tesla?

a. 0.01m b. 0.02m

c. 0.04 m d. 0.08m

101. An a.c. circuit of resistor of 500, aninductor of inductance 0.5H and capacitor of

capacitance 8F in series. The current in thecircuit will be maximum when the angular

frequency of a.c. source is

a. 500rad/sec b. 2 x 105 rad/sec

c. 4000Hz d. 5000rad/sec102.The length and radius of wire is l and r

respectively. Its resistance is R after

hammering the radius of wire is made r/2.

Then , the new resistance will be

a. R b. 2R c. 4R d. 16R

103. If only 2% of main current to be passed

through a galvanometer of resistance G, then

resistance of shunt will be

a. G/20 b. G/49 c. 20/G d. 49/G

104. A mass is thrown at 600

to the horizontal withspeed 10m/sec. What percentage of total

energy will be in form of K.E. after 1

second?

a. 66% b. 38% c. 27% d. 12%

105. During an adiabatic process, pressure of gas

is found to be proportional to cube of its

absolute temperature. The ratio of Cp/Cv isa. 2 b. 5/3 c. 3/2 d. 4/3

106. Where is the near point of eye for which a

contact lens with power of +2.75 dioptres isprescribed?

a. 40cm b. 60cm c. 80cm d. 100cm

107. Light of wavelength changes from 6000 to8000, the change in stopping potential is

a.0.52 volt b. 1 volt

c. 2.5 volt d. 7.5 volt

108. What is the ratio of frequency of an e - in the

first excited state of He+ ion to ground state

of H-atom?

a. 1:1 b. 1:2 c. 2:1 d. 4:1

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109. Intensity of x-rays is decreases to th120

1of

its initial value after penetrating thickness of

2cm material than the absorption coefficient

of a material is

a. 39.4m-1 b. 139.4m-1

c. 239.4m-1 d. 339.4m-1

110. What p.d. is maintain between the plates one5mm above the other so that a small oil drop

of mass 1.31 x 10-14kg with two electrons

remain stationary? [g = 9.8m/s2]

a. 2006 volt b. 1006 volt

c. 206 volt d. none

111. 208 gm of BaCl2 are treated with 49 gm ofH2SO4. The amount of BaSO4 (at. Wt. of Ba

=137) obtained isa. 11.65gm b. 233 gm

c. 23.33gm d. 116.5gm

112. 2.5 Faradays of electricity are passed through

a solution of CuSO4. The no. of the moles of

Cu deposited on cathode would be

a. 1.5 b. 1.25

c. 1.75 d. 1.0

113. Equal volume of 0.1 M AgNO3 and 0.2 M

NaCl are mixed. The concentration of NO3-

ions in the mixture will bea. 0.1M b. 0.05M

c. 0.2 M d. 0.15M

114. A gas formed by heating Cu with cone

H2SO4 can be reduced by

a. HNO3 b. H2S

c. KMnO4 d. KClO3

115. A gas formed by electrolysis of potassium

succinate on ozonolysis gives

a. Formaldehyde

b. acetaldehyde and formic acidc. formaldehyde & acetaldehyde

d.formaldehyde and acetone

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116. Find the missing view of the given figure

a) b)

c) d)

117. Which of the following orthographic views have missinglines?

a) Front view and top view b) Front view and side viewc) Side view only d) front view only

118. In orthographic projection what is wrong in the top viewof the following figure

a) A horizontal solid line b) A horizontal hidden linec) A vertical solid line d) A vertical hidden line

119.

Which of the following pictorial view (isometric view) is correct for the given top upperfigure and front view lower figure of the object

a) b) c) d)

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120. The top view of the given object is

a) b) c) d)

Answers

1. d 2. d 3. b 4. b 5. b 6. c 7. b 8. b 9. c 10.11. c 12.b 13. a 14.b 15. c 16. c 17. c 18.b 19.b 20. a21.b 22. d 23. a 24.b 25. c 26. a 27. d 28. a 29.b 30. d31. a 32.b 33. a 34. a 35. a 36.b 37. d 38. a 39. c 40. c41.b 42. a 43. c 44. a 45. a 46. c 47. c 48.b 49. a 50.b51.b 52. c 53. d 54. c 55. a 56. a 57. a 58. d 59. c 60. d61. d 62. a 63. c 64. c 65. d 66. a 67. d 68. c 69. c 70.b71. d 72. a 73. c 74.b 75. a 76. 77. c 78. a 79. 80. d81. a 82.b 83.b 84. c 85.b 86. d 87. a 88.b 89. d 90. c91.b 92. c 93.b 94. d 95. a 96. d 97. a 98.b 99. a 100.d101.a 102.d 103.b 104.c 105.c 106.c 107.a 108.b 109.c 110.a111.d 112.b 113.b 114.b 115.a 116.a 117.c 118.b 119.d 120.d

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model 1 tu

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