NUST Engineering Past Paper-13

200 MCQs — Click "Reveal" to see the correct answer.

1. 1

   NUST Engineering Past Paper-13

   If 8.42 and 5.32 are two significant numbers, their multiplication in significant digits is

   A

   44.8

   B

   44.79

   C

   44.7944

   D

   45

   Reveal answer
2. 2

   NUST Engineering Past Paper-13

   The magnitude of the resultant of two forces is 2F. If the magnitude of each force is F, then angle b/w these forces is

   A

   B

   C

   D

   Reveal answer
3. 3

   NUST Engineering Past Paper-13

   Bodies which fall freely under the action of gravity is an example of

   A

   Average velocity

   B

   Variable acceleration

   C

   Uniform acceleration

   D

   Uniform velocity

   Reveal answer
4. 4

   NUST Engineering Past Paper-13

   The property of the moving object by virtue of which it exerts forces on the object that tries to stop it is

   A

   Quantity of motion of body

   B

   All of these

   C

   Inertia of body

   D

   Acceleration of body

   Reveal answer
5. 5

   NUST Engineering Past Paper-13

   The escape velocity from the earth gravitational field depends upon

   A

   Rotation of earth

   B

   Both a and b

   C

   Mass of body

   D

   Radius of earth

   Reveal answer
6. 6

   NUST Engineering Past Paper-13

   A 50 kg man in a lift which is moving upward with an acceleration of 6 m/s² will have apparent weight of

   A

   800 N

   B

   200 N

   C

   500 N

   D

   400 N

   Reveal answer
7. 7

   NUST Engineering Past Paper-13

   The geostationary satellites are

   A

   Rotating very fast

   B

   Rotating W.R.T earth

   C

   Rotating very slow

   D

   Stationary W.R.T earth

   Reveal answer
8. 8

   NUST Engineering Past Paper-13

   A five-meter-high tank is full of water. A hole is made in the middle of the tank. The speed of efflux is

   A

   m/s

   B

   m/s

   C

   m/s

   D

   m/s

   Reveal answer
9. 9

   NUST Engineering Past Paper-13

   The quantity which specifies the displacement as well as the direction of motion in simple harmonic motion is the

   A

   Phase angle

   B

   None

   C

   Path difference

   D

   Angular frequency

   Reveal answer
10. 10

    NUST Engineering Past Paper-13

    The number of loops in stationary waves depends upon

    A

    None of these

    B

    Nature of the medium

    C

    Wavelength of wave

    D

    Velocity of waves

    Reveal answer
11. 11

    NUST Engineering Past Paper-13

    When the light enters from air to glass, it suffers a change in the

    A

    Wavelength and speed of light

    B

    Wavelength of light

    C

    Speed of light

    D

    Frequency of light

    Reveal answer
12. 12

    NUST Engineering Past Paper-13

    Which one of the following properties of light does not change with the nature of medium?

    A

    Speed of light

    B

    Frequency of light

    C

    Wavelength of light

    D

    All of these

    Reveal answer
13. 13

    NUST Engineering Past Paper-13

    The powers of the objective and eye piece of telescope are 0.2 diopter and 6 diopters respectively. The magnifying power of telescope is

    A

    30

    B

    1.2

    C

    12

    D

    6

    Reveal answer
14. 14

    NUST Engineering Past Paper-13

    At constant temperature when the volume of the given mass of gas is doubled, its density becomes

    A

    Four times

    B

    Double

    C

    One fourth

    D

    Half

    Reveal answer
15. 15

    NUST Engineering Past Paper-13

    The process which is performed quickly is

    A

    Isothermal process

    B

    Isochoric process

    C

    Adiabatic process

    D

    Isobaric process

    Reveal answer
16. 16

    NUST Engineering Past Paper-13

    The potential gradient between the two charged plates having separation of 0.4 cm and potential difference of 10 volts is

    A

    B

    C

    D

    Reveal answer
17. 17

    NUST Engineering Past Paper-13

    The change of electric potential w.r.t displacement is equal to

    A

    Electric intensity

    B

    Potential gradient

    C

    Electric flux

    D

    Electric potential energy

    Reveal answer
18. 18

    NUST Engineering Past Paper-13

    Two metallic conductors have the same value of resistivity. These conductors can be differentiated from the values of them

    A

    Temperature coefficient

    B

    Conductance

    C

    Resistance

    D

    Conductivity

    Reveal answer
19. 19

    NUST Engineering Past Paper-13

    Two metallic wires are lying parallel. If the current in these wires be flowing in the same direction, the wires will:

    A

    Repel each other

    B

    Attract each other

    C

    Remain stationary

    D

    Have no force of attraction or repulsion

    Reveal answer
20. 20

    NUST Engineering Past Paper-13

    In RLC series circuit when the frequency of AC source is very low, the circuit is a/an

    A

    Resistive circuit

    B

    Resonant circuit

    C

    Inductive circuit

    D

    Capacitive circuit

    Reveal answer
21. 21

    NUST Engineering Past Paper-13

    The ratio of volumetric strain to volumetric stress is called

    A

    Young's modulus

    B

    Plastic modulus

    C

    Bulk's modulus

    D

    Compressibility

    Reveal answer
22. 22

    NUST Engineering Past Paper-13

    The process by which the potential barrier of the depletion region can be increased or decreased is called

    A

    Amplification

    B

    Biasing

    C

    Doping

    D

    Modulation

    Reveal answer
23. 23

    NUST Engineering Past Paper-13

    The combination of AND and NOT gate is called

    A

    OR gate

    B

    NOR gate

    C

    XOR gate

    D

    NAND gate

    Reveal answer
24. 24

    NUST Engineering Past Paper-13

    The threshold frequency for a metal having work function 4.0 eV is

    A

    Hz

    B

    Hz

    C

    Hz

    D

    Hz

    Reveal answer
25. 25

    NUST Engineering Past Paper-13

    The uncertainty in energy of photon which is emitted from an atom radiating for second is

    A

    eV

    B

    eV

    C

    J

    D

    J

    Reveal answer
26. 26

    NUST Engineering Past Paper-13

    When the voltage of the target in the x-ray tube increases then the

    A

    Penetrating power of x-rays increases

    B

    All of these

    C

    Wavelength of x-ray increases

    D

    Intensity of x-ray increases

    Reveal answer
27. 27

    NUST Engineering Past Paper-13

    The situation in which excited state i.e metastable state contains a greater number of electrons than the ground is called

    A

    Ionized state

    B

    Stimulation state

    C

    All of these

    D

    Population inversion

    Reveal answer
28. 28

    NUST Engineering Past Paper-13

    The excited state which persists for unusually longer period of time is called

    A

    Ordinary excited state

    B

    Ionized state

    C

    Metastable state

    D

    Ground state

    Reveal answer
29. 29

    NUST Engineering Past Paper-13

    If then average square velocity of gas

    A

    B

    C

    D

    ms

    Reveal answer
30. 30

    NUST Engineering Past Paper-13

    A spring constant k is cut into two equal parts. A block of mass m is attached with one part of spring. What is the frequency of the system if is the frequency of block with original spring?

    A

    B

    C

    D

    Reveal answer
31. 31

    NUST Engineering Past Paper-13

    The coefficient of coupling between two coils of self-inductances and is unity. It means

    A

    50% flux of is linked with

    B

    100% flux of is linked with

    C

    None of these

    D

    times of flux of is linked with

    Reveal answer
32. 32

    NUST Engineering Past Paper-13

    One curie is equal to

    A

    disintegration per second

    B

    disintegration per second

    C

    One disintegration per second

    D

    disintegration per second

    Reveal answer
33. 33

    NUST Engineering Past Paper-13

    A water hose of internal diameter of 40 mm discharges 60 kg of water in 60 seconds. Calculate speed of water ( for water is 1000 kg/m³)

    A

    m/s

    B

    m/s

    C

    m/s

    D

    m/s

    Reveal answer
34. 34

    NUST Engineering Past Paper-13

    Three charges 1μC, 3μC, 5μC are kept at vertices of an equilateral triangle of side 1 m. If they are brought nearer so that they now form equilateral triangle of side 0.5 m, then work done is

    A

    J

    B

    J

    C

    J

    D

    J

    Reveal answer
35. 35

    NUST Engineering Past Paper-13

    The dot product of force and velocity is equal to

    A

    Couple

    B

    Power

    C

    Momentum

    D

    Impulse

    Reveal answer
36. 36

    NUST Engineering Past Paper-13

    Why is refractive index in a transparent medium greater than one?

    A

    None of them

    B

    Because the speed of light in vacuum is always greater than the speed in transparent medium

    C

    Because the speed of light in vacuum is always less than the speed in transparent medium

    D

    Frequency of wave changes when it crosses medium

    Reveal answer
37. 37

    NUST Engineering Past Paper-13

    If the length of tube is less and cannot accommodate the maximum rise of liquid then

    A

    Liquid will not rise

    B

    Liquid will form fountain

    C

    The meniscus will adjust itself so that the water does not spill

    D

    None

    Reveal answer
38. 38

    NUST Engineering Past Paper-13

    In the phenomena of diffraction of light, when blue light is used in the experiment in spite of red light, then

    A

    No changes in fringe width

    B

    None

    C

    Fringes will become narrower

    D

    Fringes will become broader

    Reveal answer
39. 39

    NUST Engineering Past Paper-13

    A solid sphere is rolling on the inclined plane, what is the ratio of its rotational K.E to the total K.E

    A

    B

    C

    D

    Reveal answer
40. 40

    NUST Engineering Past Paper-13

    Which is non central force?

    A

    Nuclear force

    B

    Gravitational force

    C

    Electrostatic force

    D

    None

    Reveal answer
41. 41

    NUST Engineering Past Paper-13

    When the maximum K.E of a simple pendulum is k, then what is its displacement (in terms of amplitude A) when its K.E is k/4?

    A

    B

    C

    D

    Reveal answer
42. 42

    NUST Engineering Past Paper-13

    A glass slab () of thickness 12 cm is placed over a paper. What is the shift in the letters?

    A

    cm

    B

    cm

    C

    cm

    D

    cm

    Reveal answer
43. 43

    NUST Engineering Past Paper-13

    N type semiconductor is

    A

    Positive or negative depending upon doping material

    B

    Negatively charged

    C

    Neutral

    D

    Positively charged

    Reveal answer
44. 44

    NUST Engineering Past Paper-13

    Magnetic susceptibility of a diamagnetic substance

    A

    First increases and then decreases with temperature

    B

    Is not affected by temperature

    C

    Increases with temperature

    D

    Decreases with temperature

    Reveal answer
45. 45

    NUST Engineering Past Paper-13

    Two capacitors of capacitance C are connected in parallel. If one of them is filled with dielectric substance k, what is the effective capacitance?

    A

    B

    C

    D

    Reveal answer
46. 46

    NUST Engineering Past Paper-13

    For a Carnot engine, sink temperature is 300 K. If the engine's efficiency is 40%, what is the temperature of the source?

    A

    500 K

    B

    1000 K

    C

    750 K

    D

    420 K

    Reveal answer
47. 47

    NUST Engineering Past Paper-13

    A particle is projected at an angle of 45°, then

    A

    R = 4H

    B

    None of these

    C

    4R = H

    D

    2R = H

    Reveal answer
48. 48

    NUST Engineering Past Paper-13

    Temperature of two stars is in ratio 4:3. If the wavelength of max intensity of 1st body is 3000 Å, what is corresponding wavelength of second body

    A

    Å

    B

    Å

    C

    Å

    D

    Å

    Reveal answer
49. 49

    NUST Engineering Past Paper-13

    For EM wave propagating along x axis has V/m. What is max value of magnetic field?

    A

    tesla

    B

    tesla

    C

    tesla

    D

    tesla

    Reveal answer
50. 50

    NUST Engineering Past Paper-13

    Two diodes having resistance 10 Ω and is center tapped with potential difference 80 V. If external resistance is 390 Ω, what is current through resistance?

    A

    A

    B

    A

    C

    A

    D

    A

    Reveal answer
51. 51

    NUST Engineering Past Paper-13

    The angular velocity for daily rotation of the earth in radians per minute is

    A

    rad/min

    B

    rad/min

    C

    rad/min

    D

    rad/min

    Reveal answer
52. 52

    NUST Engineering Past Paper-13

    The weight of a pilot when diving down in a jet plane with an acceleration of 4.9 m/s² will become:

    A

    Half

    B

    Zero

    C

    Double

    D

    Negative

    Reveal answer
53. 53

    NUST Engineering Past Paper-13

    Radius of one arm of hydraulic lift is three times the radius of other arm. What force should be applied on narrow arm to lift 90 kg?

    A

    N

    B

    N

    C

    N

    D

    N

    Reveal answer
54. 54

    NUST Engineering Past Paper-13

    The refractive indices of water and glass are 4/3 and 1.5 respectively. What is the refractive index of glass with respect to water?

    A

    B

    C

    D

    Reveal answer
55. 55

    NUST Engineering Past Paper-13

    Magnetic force required for demagnetizing the material

    A

    Energy loss

    B

    Coercivity

    C

    Retentivity

    D

    Hysteresis

    Reveal answer
56. 56

    NUST Engineering Past Paper-13

    are the dimensions of:

    A

    Power

    B

    Impulse

    C

    Viscosity

    D

    Angular momentum

    Reveal answer
57. 57

    NUST Engineering Past Paper-13

    If m, kg·m⁻³, kg·m⁻¹·s⁻¹, find terminal velocity

    A

    m/s

    B

    m/s

    C

    m/s

    D

    m/s

    Reveal answer
58. 58

    NUST Engineering Past Paper-13

    Material in which valence electrons are tightly bound to their atoms at low temperature is called

    A

    Conductor

    B

    Semi-conductor

    C

    Super conductor

    D

    Insulator

    Reveal answer
59. 59

    NUST Engineering Past Paper-13

    Two balls projected at 45° and 60° with same initial velocities. The ratio of their maximum heights is

    A

    B

    C

    D

    Reveal answer
60. 60

    NUST Engineering Past Paper-13

    A graph is drawn with force along Y-axis and time along X-axis. The area under the graph represents

    A

    Momentum

    B

    Moment of the force

    C

    Impulse of the force

    D

    Couple

    Reveal answer
61. 61

    NUST Engineering Past Paper-13

    What is the smallest positive integer value of for which ?

    A

    B

    C

    D

    Reveal answer
62. 62

    NUST Engineering Past Paper-13

    The equation of tangent to the curve , at the point is:

    A

    B

    C

    D

    Reveal answer
63. 63

    NUST Engineering Past Paper-13

    A

    B

    C

    D

    Reveal answer
64. 64

    NUST Engineering Past Paper-13

    The point on the curve where the tangent has slope is:

    A

    B

    C

    D

    Reveal answer
65. 65

    NUST Engineering Past Paper-13

    The 12th term of the progression is:

    A

    B

    C

    D

    Reveal answer
66. 66

    NUST Engineering Past Paper-13

    For what value of , the line is tangent to the curve ?

    A

    B

    C

    D

    Reveal answer
67. 67

    NUST Engineering Past Paper-13

    A

    B

    C

    D

    Reveal answer
68. 68

    NUST Engineering Past Paper-13

    If , where , then

    A

    B

    C

    D

    Reveal answer
69. 69

    NUST Engineering Past Paper-13

    Which of the following cannot be the measures of the sides of a triangle?

    A

    7, 9, 13

    B

    None of these

    C

    5, 6, 9

    D

    6, 8, 15

    Reveal answer
70. 70

    NUST Engineering Past Paper-13

    The th derivative of is:

    A

    B

    C

    D

    Reveal answer
71. 71

    NUST Engineering Past Paper-13

    represents:

    A

    Ellipse having major axis parallel to -axis

    B

    Hyperbola having conjugate axis parallel to -axis

    C

    Hyperbola having conjugate axis parallel to -axis

    D

    Ellipse having major axis parallel to -axis

    Reveal answer
72. 72

    NUST Engineering Past Paper-13

    Let be a differentiable function such that and . Which is always true?

    A

    B

    is the relative minimum

    C

    is the relative maximum

    D

    Reveal answer
73. 73

    NUST Engineering Past Paper-13

    The standard form of the parabola is:

    A

    B

    C

    D

    Reveal answer
74. 74

    NUST Engineering Past Paper-13

    What will be the function whose derivative is ?

    A

    B

    C

    D

    Reveal answer
75. 75

    NUST Engineering Past Paper-13

    Centre of the circle is:

    A

    B

    C

    D

    Reveal answer
76. 76

    NUST Engineering Past Paper-13

    The parabola opens:

    A

    To the right

    B

    Upward

    C

    Downward

    D

    To the left

    Reveal answer
77. 77

    NUST Engineering Past Paper-13

    A

    1

    B

    0

    C

    D

    Reveal answer
78. 78

    NUST Engineering Past Paper-13

    The critical value(s) of is/are:

    A

    Both &

    B

    C

    D

    None of these

    Reveal answer
79. 79

    NUST Engineering Past Paper-13

    A

    B

    C

    D

    Reveal answer
80. 80

    NUST Engineering Past Paper-13

    A point in which and are both less than zero lies in which quadrant?

    A

    3rd

    B

    1st

    C

    2nd

    D

    4th

    Reveal answer
81. 81

    NUST Engineering Past Paper-13

    The focal length and latus-rectum of the parabola are:

    A

    B

    C

    D

    None of these

    Reveal answer
82. 82

    NUST Engineering Past Paper-13

    How far from the -axis is the centre of the circle ?

    A

    units

    B

    units

    C

    unit

    D

    units

    Reveal answer
83. 83

    NUST Engineering Past Paper-13

    The distance of the point from the -axis is:

    A

    B

    C

    D

    Reveal answer
84. 84

    NUST Engineering Past Paper-13

    A

    B

    C

    D

    Reveal answer
85. 85

    NUST Engineering Past Paper-13

    The abscissa of a point lying on the -axis is always:

    A

    positive

    B

    Negative

    C

    Zero

    D

    None of these

    Reveal answer
86. 86

    NUST Engineering Past Paper-13

    The length of diameter of the circle is:

    A

    B

    C

    D

    Reveal answer
87. 87

    NUST Engineering Past Paper-13

    The mid-point of the line segment joining and is:

    A

    B

    C

    D

    Reveal answer
88. 88

    NUST Engineering Past Paper-13

    The vertex of the parabola is at the point:

    A

    B

    C

    D

    Reveal answer
89. 89

    NUST Engineering Past Paper-13

    For what value of , the lines , and are concurrent?

    A

    B

    C

    D

    Reveal answer
90. 90

    NUST Engineering Past Paper-13

    Eccentricity of the ellipse whose latus-rectum is half of the major axis is:

    A

    B

    None of these

    C

    1/2

    D

    2/3

    Reveal answer
91. 91

    NUST Engineering Past Paper-13

    The line intersects the circle at the points:

    A

    Both (a) and (b)

    B

    C

    None of these

    D

    Reveal answer
92. 92

    NUST Engineering Past Paper-13

    The acute angle between the lines and is:

    A

    45°

    B

    30°

    C

    75°

    D

    60°

    Reveal answer
93. 93

    NUST Engineering Past Paper-13

    The equation of ellipse with centre at origin, major axis along -axis, eccentricity and passing through is:

    A

    None of these

    B

    C

    D

    Reveal answer
94. 94

    NUST Engineering Past Paper-13

    If the point lies on a circle with centre , then the equation of the circle is:

    A

    B

    C

    D

    Reveal answer
95. 95

    NUST Engineering Past Paper-13

    The lengths of major and minor axes of an ellipse are 10 cm and 8 cm respectively. The distance between its foci is:

    A

    3 cm

    B

    5 cm

    C

    4 cm

    D

    6 cm

    Reveal answer
96. 96

    NUST Engineering Past Paper-13

    Area of the triangle with vertices , and is:

    A

    B

    C

    D

    Reveal answer
97. 97

    NUST Engineering Past Paper-13

    Area of the triangle which the line forms with the coordinate axes is:

    A

    B

    C

    D

    Reveal answer
98. 98

    NUST Engineering Past Paper-13

    Centre of the ellipse is at:

    A

    B

    C

    D

    Reveal answer
99. 99

    NUST Engineering Past Paper-13

    The circumference of the circle is:

    A

    B

    C

    D

    Reveal answer
100. 100

     NUST Engineering Past Paper-13

     The differential equation is:

     A

     Separable but not linear

     B

     Separable and linear

     C

     Linear but not separable

     D

     Neither separable nor linear

     Reveal answer
101. 101

     NUST Engineering Past Paper-13

     If , where , is a point on a hyperbola, then its eccentricity is:

     A

     B

     C

     D

     None of these

     Reveal answer
102. 102

     NUST Engineering Past Paper-13

     The equation of axis of symmetry of the parabola is:

     A

     B

     C

     D

     Reveal answer
103. 103

     NUST Engineering Past Paper-13

     Order of the differential equation is:

     A

     2

     B

     3

     C

     Undefined

     D

     1

     Reveal answer
104. 104

     NUST Engineering Past Paper-13

     If one end of a diameter of the circle is , then the other end is:

     A

     B

     C

     D

     Reveal answer
105. 105

     NUST Engineering Past Paper-13

     The equation of normal to at is:

     A

     B

     C

     D

     Reveal answer
106. 106

     NUST Engineering Past Paper-13

     Let be the mid-point of the line segment whose end points are and . Then

     A

     B

     C

     D

     Reveal answer
107. 107

     NUST Engineering Past Paper-13

     Distance between foci of the hyperbola is:

     A

     B

     C

     D

     Reveal answer
108. 108

     NUST Engineering Past Paper-13

     The number of arbitrary constants in the general solution of an th order differential equation is:

     A

     1

     B

     C

     infinite

     D

     0

     Reveal answer
109. 109

     NUST Engineering Past Paper-13

     The angle between the asymptotes of a rectangular hyperbola is:

     A

     45°

     B

     60°

     C

     None of these

     D

     90°

     Reveal answer
110. 110

     NUST Engineering Past Paper-13

     If the distance between the points and is , then

     A

     or

     B

     or

     C

     or

     D

     or

     Reveal answer
111. 111

     NUST Engineering Past Paper-13

     The equation of parabola with vertex at and focus at is:

     A

     B

     C

     D

     Reveal answer
112. 112

     NUST Engineering Past Paper-13

     Length of latus-rectum of the ellipse is:

     A

     B

     C

     D

     Reveal answer
113. 113

     NUST Engineering Past Paper-13

     The third vertex of the triangle whose two vertices are and and centroid is is:

     A

     B

     C

     D

     Reveal answer
114. 114

     NUST Engineering Past Paper-13

     A

     B

     C

     D

     Reveal answer
115. 115

     NUST Engineering Past Paper-13

     The equation of parabola with focus and directrix is:

     A

     B

     C

     D

     Reveal answer
116. 116

     NUST Engineering Past Paper-13

     The least positive integer for which is:

     A

     B

     C

     D

     Reveal answer
117. 117

     NUST Engineering Past Paper-13

     If the line segment connecting and is bisected by , then and are:

     A

     5, 7

     B

     16, 8

     C

     10, 6

     D

     11, 14

     Reveal answer
118. 118

     NUST Engineering Past Paper-13

     One of the values of for which the line touches the curve is:

     A

     B

     6

     C

     D

     3

     Reveal answer
119. 119

     NUST Engineering Past Paper-13

     The equation of the line parallel to the tangent to at and passing through is:

     A

     B

     C

     D

     Reveal answer
120. 120

     NUST Engineering Past Paper-13

     The modulus of is:

     A

     B

     C

     D

     None

     Reveal answer
121. 121

     NUST Engineering Past Paper-13

     A

     0

     B

     1

     C

     D

     Reveal answer
122. 122

     NUST Engineering Past Paper-13

     The number of arbitrary constants in the particular solution of an th order differential equation is:

     A

     Infinite

     B

     0

     C

     D

     1

     Reveal answer
123. 123

     NUST Engineering Past Paper-13

     A

     B

     2

     C

     D

     1

     Reveal answer
124. 124

     NUST Engineering Past Paper-13

     If , then

     A

     B

     C

     D

     Reveal answer
125. 125

     NUST Engineering Past Paper-13

     If , and , then

     A

     0.20

     B

     0.10

     C

     0.30

     D

     0.85

     Reveal answer
126. 126

     NUST Engineering Past Paper-13

     Two lines and intersect. The shortest distance between them is:

     A

     Infinity

     B

     Zero

     C

     Positive

     D

     Negative

     Reveal answer
127. 127

     NUST Engineering Past Paper-13

     What is the rate of change of volume of a sphere of radius at cm?

     A

     cm/cm

     B

     cm/cm

     C

     cm/cm

     D

     cm/cm

     Reveal answer
128. 128

     NUST Engineering Past Paper-13

     The th term in the binomial expansion of is:

     A

     B

     C

     D

     Reveal answer
129. 129

     NUST Engineering Past Paper-13

     If and (first quadrant), then

     A

     B

     C

     D

     Reveal answer
130. 130

     NUST Engineering Past Paper-13

     How many 4-digit numbers less than 4000 can be formed from the digits 1, 2, 3, 4, 5, 6 if repetition is not allowed?

     A

     180

     B

     120

     C

     240

     D

     60

     Reveal answer
131. 131

     NUST Engineering Past Paper-13

     If , then

     A

     B

     1

     C

     D

     Reveal answer
132. 132

     NUST Engineering Past Paper-13

     If , then the lowest point on the parabola is called its:

     A

     Vertex

     B

     Focus

     C

     Latus-rectum

     D

     Locus

     Reveal answer
133. 133

     NUST Engineering Past Paper-13

     A

     B

     C

     D

     Reveal answer
134. 134

     NUST Engineering Past Paper-13

     How many terms of the G.P. have sum equal to 364?

     A

     6

     B

     5

     C

     7

     D

     8

     Reveal answer
135. 135

     NUST Engineering Past Paper-13

     The projection of on is:

     A

     B

     C

     D

     None of these

     Reveal answer
136. 136

     NUST Engineering Past Paper-13

     Which of the following is a unit vector?

     A

     B

     C

     All of these

     D

     Reveal answer
137. 137

     NUST Engineering Past Paper-13

     If is an odd function, then is:

     A

     both

     B

     an odd function

     C

     an even function

     D

     neither

     Reveal answer
138. 138

     NUST Engineering Past Paper-13

     A committee of 3 is selected from 4 men and 3 women.

     A

     31/35

     B

     9/10

     C

     4/35

     D

     2/7

     Reveal answer
139. 139

     NUST Engineering Past Paper-13

     The sum of the exponents of and in each term in the expansion of is:

     A

     8

     B

     6

     C

     10

     D

     None

     Reveal answer
140. 140

     NUST Engineering Past Paper-13

     A

     B

     1

     C

     0

     D

     Reveal answer
141. 141

     NUST Engineering Past Paper-13

     Two students Asim and Qasim. , , .

     A

     0.80

     B

     0.20

     C

     0.25

     D

     0.30

     Reveal answer
142. 142

     NUST Engineering Past Paper-13

     How many ways can the letters of QUETTA be arranged?

     A

     360

     B

     180

     C

     720

     D

     120

     Reveal answer
143. 143

     NUST Engineering Past Paper-13

     For a G.P., and . Find .

     A

     B

     C

     D

     None of these

     Reveal answer
144. 144

     NUST Engineering Past Paper-13

     The domain of is:

     A

     B

     C

     D

     Reveal answer
145. 145

     NUST Engineering Past Paper-13

     The sum to terms of a series whose th term is is:

     A

     None

     B

     C

     D

     Reveal answer
146. 146

     NUST Engineering Past Paper-13

     The linear system is called homogeneous if:

     A

     B

     C

     D

     Reveal answer
147. 147

     NUST Engineering Past Paper-13

     How many 10-digit telephone numbers can be constructed starting with 03 using digits 0–9 with no repetition?

     A

     40320

     B

     5040

     C

     720

     D

     None of these

     Reveal answer
148. 148

     NUST Engineering Past Paper-13

     Which of the following equals ?

     A

     B

     C

     All of these

     D

     Reveal answer
149. 149

     NUST Engineering Past Paper-13

     If , then

     A

     320

     B

     640

     C

     160

     D

     None

     Reveal answer
150. 150

     NUST Engineering Past Paper-13

     If , then

     A

     B

     C

     D

     Reveal answer
151. 151

     NUST Engineering Past Paper-13

     If is continuous on , then

     A

     B

     2

     C

     1

     D

     0

     Reveal answer
152. 152

     NUST Engineering Past Paper-13

     If (first quadrant), then

     A

     B

     C

     D

     Reveal answer
153. 153

     NUST Engineering Past Paper-13

     What is the real part of ?

     A

     B

     C

     D

     Reveal answer
154. 154

     NUST Engineering Past Paper-13

     If , find .

     A

     6

     B

     12

     C

     3

     D

     0

     Reveal answer
155. 155

     NUST Engineering Past Paper-13

     If a function satisfies for every , what can we conclude about and its derivative ?

     A

     is even

     B

     B/C

     C

     is odd

     D

     is even

     Reveal answer
156. 156

     NUST Engineering Past Paper-13

     The side length of an equilateral triangle grows at the constant rate cm/s. At the moment when cm, determine the rate at which the triangle's area is increasing.

     A

     B

     C

     D

     Reveal answer
157. 157

     NUST Engineering Past Paper-13

     Evaluate .

     A

     B

     C

     D

     Reveal answer
158. 158

     NUST Engineering Past Paper-13

     Determine the range of .

     A

     B

     C

     D

     Reveal answer
159. 159

     NUST Engineering Past Paper-13

     A differentiable function satisfies for all real , with and . Determine .

     A

     B

     C

     D

     (same numerical value as )

     Reveal answer
160. 160

     NUST Engineering Past Paper-13

     Choose the word most nearly OPPOSITE in meaning to 'Spurious':

     A

     Thoughtless

     B

     Placid

     C

     Disingenuous

     D

     Genuine

     Reveal answer
161. 161

     NUST Engineering Past Paper-13

     To 'Obviate' a problem means to:

     A

     Remove or prevent it

     B

     Create or cause it

     C

     Worsen it significantly

     D

     Ignore it completely

     Reveal answer
162. 162

     NUST Engineering Past Paper-13

     Choose the word most nearly OPPOSITE in meaning to 'Parsimony':

     A

     Sinfulness

     B

     Generosity

     C

     Tenderness

     D

     Verbosity

     Reveal answer
163. 163

     NUST Engineering Past Paper-13

     Choose the correct option: If it had rained, we ___ stayed indoors.

     A

     will have

     B

     had

     C

     would

     D

     would have

     Reveal answer
164. 164

     NUST Engineering Past Paper-13

     Identify the part of the sentence that contains a grammatical error: 'We discussed about the matter in detail yesterday.'

     A

     We discussed

     B

     yesterday

     C

     about the matter

     D

     in detail

     Reveal answer
165. 165

     NUST Engineering Past Paper-13

     Choose the pair that best completes the analogy: TUREEN : SOUP :: __________ : WINE

     A

     Man : Immigration

     B

     History : Histology

     C

     Heart : Cardiology

     D

     Goblet : Wine

     Reveal answer
166. 166

     NUST Engineering Past Paper-13

     Choose the correct preposition to complete the sentence: 'He has a natural fondness ___ classical music.'

     A

     at

     B

     with

     C

     in

     D

     of

     Reveal answer
167. 167

     NUST Engineering Past Paper-13

     Choose the correct word to complete the sentence: 'I look forward to ___ from you soon.'

     A

     have heard

     B

     hearing

     C

     heard

     D

     hear

     Reveal answer
168. 168

     NUST Engineering Past Paper-13

     Which of the following words best describes someone who uses far too many words?

     A

     Verbose

     B

     Laconic

     C

     Concise

     D

     Taciturn

     Reveal answer
169. 169

     NUST Engineering Past Paper-13

     Identify the part of the following sentence that contains a grammatical error: 'She is senior than me in experience.'

     A

     experience

     B

     me in

     C

     She is

     D

     senior than

     Reveal answer
170. 170

     NUST Engineering Past Paper-13

     Choose the word that best completes the analogy: HOLSTER : PISTOL :: SHEATH : ________

     A

     Rook

     B

     Ponder

     C

     Knife

     D

     Dearth

     Reveal answer
171. 171

     NUST Engineering Past Paper-13

     Choose the best meaning of the italicized word: 'She showed a *blatant* disregard for the rules.'

     A

     Obvious and open

     B

     Hidden

     C

     Last-minute

     D

     Rebellious

     Reveal answer
172. 172

     NUST Engineering Past Paper-13

     In the sentence 'The exhausted student fell asleep during the long lecture,' the word 'exhausted' functions as a(n):

     A

     Verb in past tense

     B

     Noun

     C

     Adjective modifying 'student'

     D

     Adverb modifying 'student'

     Reveal answer
173. 173

     NUST Engineering Past Paper-13

     Choose the word that best completes the analogy: BEAR : HIBERNATION :: BIRD : ________

     A

     Flying

     B

     Nest

     C

     Wings

     D

     Migration

     Reveal answer
174. 174

     NUST Engineering Past Paper-13

     Choose the best meaning of the italicized word: 'Mr. Powers was so *gullible* that he believed even the most outlandish excuses of his insincere employees.'

     A

     Dishonest

     B

     Critical

     C

     Naive and easily deceived

     D

     Intelligent

     Reveal answer
175. 175

     NUST Engineering Past Paper-13

     Pick the correct verb form: 'It's high time you ___ serious about your studies.'

     A

     get

     B

     got

     C

     had

     D

     have got

     Reveal answer
176. 176

     NUST Engineering Past Paper-13

     Locate the grammatical error in the following sentence: 'The news are spreading quickly across the whole department.'

     A

     The news

     B

     quickly across

     C

     the whole department

     D

     are spreading

     Reveal answer
177. 177

     NUST Engineering Past Paper-13

     Pick the part of this sentence that contains a grammatical mistake: 'I have visited Paris last summer during my vacation.'

     A

     last summer

     B

     I have visited

     C

     Paris

     D

     during my vacation

     Reveal answer
178. 178

     NUST Engineering Past Paper-13

     Pick the word that best completes the sentence: 'Cindy had some __________ about marrying George, because he was sometimes violent.'

     A

     Ignorance

     B

     Urgency

     C

     Enthusiasm

     D

     Trepidation

     Reveal answer
179. 179

     NUST Engineering Past Paper-13

     Read the passage and pick the best completion. 'The Fourth Amendment to the Constitution protects citizens against unreasonable searches and seizures. No search of a person's home or personal effects may be conducted without a written search warrant issued on probable cause. This means that a neutral judge must approve the factual basis justifying a search before it can be conducted.' According to this paragraph, the police cannot search a person's home or private papers unless they have:

     A

     Legal authorization

     B

     A reasonable belief that a crime has occurred

     C

     Read the person his or her constitutional rights

     D

     Direct evidence of a crime

     Reveal answer
180. 180

     NUST Engineering Past Paper-13

     Choose the correct article: 'She is ___ honest person.'

     A

     the

     B

     an

     C

     a

     D

     one

     Reveal answer
181. 181

     NUST Engineering Past Paper-13

     Choose the term that best completes the analogy: HEART : CARDIOLOGY :: BRAIN : ________

     A

     Mind

     B

     thinking

     C

     Psychology

     D

     Neurology

     Reveal answer
182. 182

     NUST Engineering Past Paper-13

     In the sentence 'She quickly ran across the muddy field,' the word 'quickly' is a(n):

     A

     Adverb modifying the verb 'ran'

     B

     Preposition

     C

     Adjective modifying 'ran'

     D

     Conjunction

     Reveal answer
183. 183

     NUST Engineering Past Paper-13

     Pick the correct preposition: 'She's been living here ___ 2010.'

     A

     since

     B

     by

     C

     during

     D

     after

     Reveal answer
184. 184

     NUST Engineering Past Paper-13

     Pick the best word to complete the sentence: 'The soldiers were charged with ___ for plotting against the government.'

     A

     Sedition

     B

     Attrition

     C

     Reiteration

     D

     Interaction

     Reveal answer
185. 185

     NUST Engineering Past Paper-13

     Choose the pair that best completes the analogy: NADIR : ZENITH :: FEAR : ________

     A

     Thread : Wool

     B

     Doctor : Hospital

     C

     Fear : Composure

     D

     Wick : Candle

     Reveal answer
186. 186

     NUST Engineering Past Paper-13

     Choose the CORRECTLY spelled word to complete the sentence: 'The ________ size of the cathedral was typical of the Middle Ages.'

     A

     collossal

     B

     colassal

     C

     colossal

     D

     collosal

     Reveal answer
187. 187

     NUST Engineering Past Paper-13

     Choose the correct preposition: 'They have lived in this neighbourhood ___ ages.'

     A

     since

     B

     for

     C

     from

     D

     by

     Reveal answer
188. 188

     NUST Engineering Past Paper-13

     Pick the part of the sentence that is grammatically wrong: 'She avoids to eat junk food nowadays.'

     A

     junk food

     B

     She avoids

     C

     nowadays

     D

     to eat

     Reveal answer
189. 189

     NUST Engineering Past Paper-13

     Pick the word that best completes the sentence: 'Although I'd asked a simple yes-or-no question, his reply was _____, and I didn't know how to interpret it.'

     A

     Equivocal

     B

     Prodigal

     C

     Voracious

     D

     Irate

     Reveal answer
190. 190

     NUST Engineering Past Paper-13

     What is the meaning of the word 'Ephemeral'?

     A

     Deeply significant

     B

     Short-lived and temporary

     C

     Present everywhere

     D

     Permanent and lasting

     Reveal answer
191. 191

     NUST Engineering Past Paper-13

     What does 'Ostentatious' behaviour best describe?

     A

     Modest and humble

     B

     Thoughtful and deliberate

     C

     Reckless and impulsive

     D

     Showy and designed to attract attention

     Reveal answer
192. 192

     NUST Engineering Past Paper-13

     Pick the correct verb: 'Neither the manager nor the workers ___ available.'

     A

     was

     B

     are

     C

     is

     D

     has

     Reveal answer
193. 193

     NUST Engineering Past Paper-13

     If a person is 'sanguine' about a situation, they are:

     A

     Optimistic and positive

     B

     Indifferent and detached

     C

     Suspicious and doubtful

     D

     Deeply pessimistic

     Reveal answer
194. 194

     NUST Engineering Past Paper-13

     Pick the word closest in meaning to 'Loquacious':

     A

     Timid

     B

     Aggressive

     C

     Scholarly

     D

     Talkative

     Reveal answer
195. 195

     NUST Engineering Past Paper-13

     Pick the word most nearly OPPOSITE in meaning to 'Zenith':

     A

     Summit

     B

     Apex

     C

     Nadir

     D

     Peak

     Reveal answer
196. 196

     NUST Engineering Past Paper-13

     Read the passage and pick the best summary statement. 'Mathematics allows us to expand our consciousness. Mathematics tells us about economic trends, patterns of disease, and the growth of populations. Math is good at exposing the truth, but it can also perpetuate misunderstandings and untruths. Figures have the power to mislead people.' This paragraph best supports the statement that:

     A

     Figures are sometimes used to deceive people

     B

     The power of numbers is that they cannot lie

     C

     Words are more truthful than figures

     D

     The study of mathematics is dangerous

     Reveal answer
197. 197

     NUST Engineering Past Paper-13

     Pick the word closest in meaning to 'Temerity':

     A

     Shyness

     B

     Fearfulness

     C

     Audacity and boldness

     D

     Stupidity

     Reveal answer
198. 198

     NUST Engineering Past Paper-13

     Pick the option that best captures the meaning of 'Beguile':

     A

     To charm or enchant someone, sometimes deceitfully

     B

     To frighten someone greatly

     C

     To teach someone a new skill

     D

     To punish someone for wrongdoing

     Reveal answer
199. 199

     NUST Engineering Past Paper-13

     Pick the word that is closest in meaning to 'abomination':

     A

     Ambiguity

     B

     Atrocity

     C

     Abundance

     D

     Admiration

     Reveal answer
200. 200

     NUST Engineering Past Paper-13

     Cloze: Pick the option that best completes 'She had her ___ [nature], which covered her ___ personality.'

     A

     Mischievous, unseen

     B

     Obvious, pleasant

     C

     Silent, cheerful

     D

     Hidden, bitter

     Reveal answer