NUST Engineering Past Paper-19

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

1. 1

   NUST Engineering Past Paper-19

   If and , compute .

   A

   B

   C

   D

   Reveal answer
2. 2

   NUST Engineering Past Paper-19

   The sequence is a:

   A

   None of these

   B

   G.P

   C

   H.P

   D

   A.P

   Reveal answer
3. 3

   NUST Engineering Past Paper-19

   A fair coin is tossed five times. Find the probability of obtaining at least one head.

   A

   B

   C

   D

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4. 4

   NUST Engineering Past Paper-19

   If are the roots of , find the quadratic equation whose roots are and .

   A

   B

   C

   D

   None of these

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5. 5

   NUST Engineering Past Paper-19

   A flagpole casts a 50 m long shadow when the sun's angle of elevation is . What is the height of the flagpole?

   A

   m

   B

   m

   C

   25 m

   D

   m

   Reveal answer
6. 6

   NUST Engineering Past Paper-19

   Find the sum of the infinite series .

   A

   B

   C

   D

   None of these

   Reveal answer
7. 7

   NUST Engineering Past Paper-19

   How many centres, directrices, and foci does a hyperbola have?

   A

   None

   B

   Two centres, two directrices

   C

   One centre, two directrices, two foci

   D

   One centre, two directrices, one focus

   Reveal answer
8. 8

   NUST Engineering Past Paper-19

   A fair die is rolled three times. Find the probability that the sum of the three faces is .

   A

   B

   C

   D

   None of these

   Reveal answer
9. 9

   NUST Engineering Past Paper-19

   Determine the nature of the roots of .

   A

   Rational and real

   B

   None

   C

   Real and irrational

   D

   Rational and unequal

   Reveal answer
10. 10

    NUST Engineering Past Paper-19

    A circle has area cm and an arc of length cm. Find the central angle subtending this arc (in radians).

    A

    2 rad

    B

    rad

    C

    rad

    D

    None of these

    Reveal answer
11. 11

    NUST Engineering Past Paper-19

    Write the formula for the scalar projection of on , where is the angle between them.

    A

    B

    C

    None

    D

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12. 12

    NUST Engineering Past Paper-19

    Find .

    A

    B

    C

    D

    None of these

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13. 13

    NUST Engineering Past Paper-19

    Find the harmonic mean of and .

    A

    B

    6

    C

    D

    None of these

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14. 14

    NUST Engineering Past Paper-19

    Compute .

    A

    B

    C

    D

    None of these

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15. 15

    NUST Engineering Past Paper-19

    Evaluate .

    A

    B

    C

    D

    None of these

    Reveal answer
16. 16

    NUST Engineering Past Paper-19

    Solve for .

    A

    None of these

    B

    0

    C

    1

    D

    2

    Reveal answer
17. 17

    NUST Engineering Past Paper-19

    From a group of men and women, in how many ways can a committee of men be formed?

    A

    B

    C

    D

    None of these

    Reveal answer
18. 18

    NUST Engineering Past Paper-19

    Evaluate .

    A

    B

    C

    D

    None of these

    Reveal answer
19. 19

    NUST Engineering Past Paper-19

    Find the eccentricity of the hyperbola .

    A

    2.6

    B

    1.25

    C

    0.5

    D

    None of these

    Reveal answer
20. 20

    NUST Engineering Past Paper-19

    What is the eccentricity of a rectangular hyperbola?

    A

    B

    C

    None

    D

    2

    Reveal answer
21. 21

    NUST Engineering Past Paper-19

    Find the angle that the complex number makes with the positive real () axis.

    A

    B

    C

    D

    None of these

    Reveal answer
22. 22

    NUST Engineering Past Paper-19

    Evaluate the expression and discuss whether it is well-defined.

    A

    1

    B

    Invalid statement

    C

    None

    D

    0

    Reveal answer
23. 23

    NUST Engineering Past Paper-19

    A triangle has sides , , . Find the radius of its circumscribed circle.

    A

    7.5

    B

    15

    C

    12

    D

    None of these

    Reveal answer
24. 24

    NUST Engineering Past Paper-19

    Find the coordinates of a point lying on the -axis at a distance of units to the left of the origin.

    A

    B

    C

    D

    None of these

    Reveal answer
25. 25

    NUST Engineering Past Paper-19

    Evaluate .

    A

    0

    B

    C

    D

    None of these

    Reveal answer
26. 26

    NUST Engineering Past Paper-19

    For the general second-degree equation , what type of conic does it represent when ?

    A

    None

    B

    Parabola

    C

    Circle

    D

    Ellipse

    Reveal answer
27. 27

    NUST Engineering Past Paper-19

    Find the perpendicular distance from the origin to the line .

    A

    B

    C

    D

    None of these

    Reveal answer
28. 28

    NUST Engineering Past Paper-19

    Find the perimeter of the triangle with vertices , , .

    A

    B

    C

    D

    None of these

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29. 29

    NUST Engineering Past Paper-19

    If , what is the 6th term in its Maclaurin series expansion?

    A

    B

    C

    D

    None of these

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30. 30

    NUST Engineering Past Paper-19

    Find the vertices of the ellipse .

    A

    and

    B

    and

    C

    D

    None of these

    Reveal answer
31. 31

    NUST Engineering Past Paper-19

    Evaluate .

    A

    0

    B

    1

    C

    D

    Does not exist

    Reveal answer
32. 32

    NUST Engineering Past Paper-19

    Find the maximum possible value of .

    A

    2

    B

    1

    C

    0

    D

    None of these

    Reveal answer
33. 33

    NUST Engineering Past Paper-19

    Simplify .

    A

    B

    C

    D

    None of these

    Reveal answer
34. 34

    NUST Engineering Past Paper-19

    A circle can always be inscribed in which of the following quadrilaterals?

    A

    Parallelogram

    B

    None

    C

    Rectangle

    D

    Square

    Reveal answer
35. 35

    NUST Engineering Past Paper-19

    For a convex polygon, the sum of interior angles equals twice the sum of its exterior angles. Find the number of sides.

    A

    6

    B

    4

    C

    5

    D

    8

    Reveal answer
36. 36

    NUST Engineering Past Paper-19

    Find the phase shift of the function .

    A

    B

    C

    D

    None of these

    Reveal answer
37. 37

    NUST Engineering Past Paper-19

    Does the geometric series with converge or diverge?

    A

    Divergent

    B

    None

    C

    Neither

    D

    Convergent

    Reveal answer
38. 38

    NUST Engineering Past Paper-19

    Describe the graph of .

    A

    Circle

    B

    Ellipse

    C

    None

    D

    Line

    Reveal answer
39. 39

    NUST Engineering Past Paper-19

    Which of the following numbers CANNOT be the cardinality (number of elements) of a power set?

    A

    2

    B

    22

    C

    8

    D

    32

    Reveal answer
40. 40

    NUST Engineering Past Paper-19

    If , find .

    A

    5

    B

    4

    C

    6

    D

    None of these

    Reveal answer
41. 41

    NUST Engineering Past Paper-19

    Evaluate .

    A

    B

    C

    5

    D

    None of these

    Reveal answer
42. 42

    NUST Engineering Past Paper-19

    Evaluate .

    A

    0

    B

    C

    1

    D

    None of these

    Reveal answer
43. 43

    NUST Engineering Past Paper-19

    If , find .

    A

    B

    C

    D

    None of these

    Reveal answer
44. 44

    NUST Engineering Past Paper-19

    Find the angle of inclination of the line that bisects quadrants I and III.

    A

    B

    C

    D

    None of these

    Reveal answer
45. 45

    NUST Engineering Past Paper-19

    Write the formula for the volume of a parallelepiped whose three edges, meeting at a vertex, are the vectors , , .

    A

    None

    B

    C

    D

    Reveal answer
46. 46

    NUST Engineering Past Paper-19

    When two ordinary dice are tossed together, what is the largest possible total of the two top faces?

    A

    12

    B

    11

    C

    13

    D

    None of these

    Reveal answer
47. 47

    NUST Engineering Past Paper-19

    Which geometric object intersects a right circular cone to produce the various conic sections (circle, ellipse, parabola, hyperbola)?

    A

    Plane

    B

    Map

    C

    Line

    D

    Knife

    Reveal answer
48. 48

    NUST Engineering Past Paper-19

    When does the general second-degree equation represent a circle?

    A

    B

    C

    None

    D

    Reveal answer
49. 49

    NUST Engineering Past Paper-19

    Evaluate .

    A

    B

    1

    C

    D

    None of these

    Reveal answer
50. 50

    NUST Engineering Past Paper-19

    Find one root of the equation .

    A

    B

    C

    D

    None of these

    Reveal answer
51. 51

    NUST Engineering Past Paper-19

    Find the angle between the lines and .

    A

    ≈ 53.1°

    B

    C

    D

    None of these

    Reveal answer
52. 52

    NUST Engineering Past Paper-19

    Write the equation of the line that passes through and is parallel to the -axis.

    A

    B

    C

    D

    None of these

    Reveal answer
53. 53

    NUST Engineering Past Paper-19

    Express in slope-intercept form.

    A

    B

    C

    D

    None of these

    Reveal answer
54. 54

    NUST Engineering Past Paper-19

    Which condition on the second-degree discriminant identifies an ellipse?

    A

    None

    B

    C

    D

    Reveal answer
55. 55

    NUST Engineering Past Paper-19

    Find the intersection point of the two lines represented by .

    A

    B

    C

    D

    None of these

    Reveal answer
56. 56

    NUST Engineering Past Paper-19

    A parallelepiped has edge vectors meeting at a vertex. If all three edges are tripled, by what factor does the volume change?

    A

    27 times

    B

    9 times

    C

    3 times

    D

    Same

    Reveal answer
57. 57

    NUST Engineering Past Paper-19

    If , find .

    A

    B

    C

    D

    None of these

    Reveal answer
58. 58

    NUST Engineering Past Paper-19

    Compute .

    A

    0

    B

    1

    C

    D

    None of these

    Reveal answer
59. 59

    NUST Engineering Past Paper-19

    On which interval is the function strictly decreasing?

    A

    B

    C

    All

    D

    None

    Reveal answer
60. 60

    NUST Engineering Past Paper-19

    Find the imaginary part of .

    A

    1

    B

    0

    C

    D

    None of these

    Reveal answer
61. 61

    NUST Engineering Past Paper-19

    Find a closed-form for (the sum of the first even natural numbers).

    A

    B

    C

    D

    None of these

    Reveal answer
62. 62

    NUST Engineering Past Paper-19

    Find the geometric mean of and (positive value).

    A

    12

    B

    C

    Both

    D

    None of these

    Reveal answer
63. 63

    NUST Engineering Past Paper-19

    Evaluate .

    A

    B

    C

    1

    D

    None of these

    Reveal answer
64. 64

    NUST Engineering Past Paper-19

    Find the sum of all the eighth roots of unity.

    A

    0

    B

    1

    C

    D

    None of these

    Reveal answer
65. 65

    NUST Engineering Past Paper-19

    For what range of does the inequality imply ?

    A

    B

    C

    D

    None

    Reveal answer
66. 66

    NUST Engineering Past Paper-19

    Under what condition do the two lines represented by coincide (i.e., become the same line)?

    A

    B

    None

    C

    D

    Reveal answer
67. 67

    NUST Engineering Past Paper-19

    What is the vertex of the parabola ?

    A

    B

    C

    D

    None

    Reveal answer
68. 68

    NUST Engineering Past Paper-19

    The line is tangent to the parabola if which condition on holds?

    A

    B

    C

    None

    D

    Reveal answer
69. 69

    NUST Engineering Past Paper-19

    Evaluate .

    A

    0

    B

    1

    C

    D

    None of these

    Reveal answer
70. 70

    NUST Engineering Past Paper-19

    Find the vertices of the ellipse .

    A

    B

    C

    D

    None of these

    Reveal answer
71. 71

    NUST Engineering Past Paper-19

    Find the period of .

    A

    B

    C

    D

    None of these

    Reveal answer
72. 72

    NUST Engineering Past Paper-19

    If and lies in the second quadrant, find .

    A

    0

    B

    C

    D

    None of these

    Reveal answer
73. 73

    NUST Engineering Past Paper-19

    If the second-degree expression factorises as a product of two distinct linear factors with , what does the equation represent geometrically?

    A

    Pair of lines passing through origin

    B

    Coincident lines

    C

    A and C

    D

    Ellipse

    Reveal answer
74. 74

    NUST Engineering Past Paper-19

    Evaluate .

    A

    B

    C

    D

    None of these

    Reveal answer
75. 75

    NUST Engineering Past Paper-19

    Find the product of the roots of .

    A

    B

    7

    C

    D

    None of these

    Reveal answer
76. 76

    NUST Engineering Past Paper-19

    Which expression equals the complex number (in polar form)?

    A

    B

    C

    D

    None of these

    Reveal answer
77. 77

    NUST Engineering Past Paper-19

    Find the coefficient of in the expansion of .

    A

    729

    B

    243

    C

    D

    None of these

    Reveal answer
78. 78

    NUST Engineering Past Paper-19

    For which values of does the series converge?

    A

    B

    C

    None

    D

    Reveal answer
79. 79

    NUST Engineering Past Paper-19

    Simplify .

    A

    B

    C

    D

    None of these

    Reveal answer
80. 80

    NUST Engineering Past Paper-19

    Which of the following formulas correctly gives ?

    A

    B

    C

    None

    D

    Reveal answer
81. 81

    NUST Engineering Past Paper-19

    Find the maximum value of on the interval .

    A

    2

    B

    5

    C

    D

    None of these

    Reveal answer
82. 82

    NUST Engineering Past Paper-19

    Classify the critical points of on its natural domain.

    A

    local min

    B

    none

    C

    both

    D

    local max

    Reveal answer
83. 83

    NUST Engineering Past Paper-19

    How many ways can men and women be seated in a row so that no two men sit next to each other and no two women sit next to each other?

    A

    28800

    B

    14400

    C

    5! × 5!

    D

    None of these

    Reveal answer
84. 84

    NUST Engineering Past Paper-19

    Simplify .

    A

    None of these

    B

    C

    D

    Reveal answer
85. 85

    NUST Engineering Past Paper-19

    A circle of radius has a regular octagon inscribed in it. Find the area between the circle and the inscribed octagon.

    A

    B

    C

    D

    None of these

    Reveal answer
86. 86

    NUST Engineering Past Paper-19

    An ellipse has eccentricity and a directrix (corresponding to the focus on the positive -axis). Find the foci.

    A

    B

    C

    D

    None of these

    Reveal answer
87. 87

    NUST Engineering Past Paper-19

    A circle of radius has a sector with central angle . Find the area between the arc and the chord (the 'circular segment').

    A

    B

    C

    D

    None of these

    Reveal answer
88. 88

    NUST Engineering Past Paper-19

    What is the geometric relationship between the two lines represented by ?

    A

    Coincident

    B

    Parallel

    C

    Perpendicular

    D

    None of these

    Reveal answer
89. 89

    NUST Engineering Past Paper-19

    Find the angle between the pair of lines represented by .

    A

    B

    C

    D

    None of these

    Reveal answer
90. 90

    NUST Engineering Past Paper-19

    Evaluate . Does the result have a closed form in elementary functions?

    A

    None

    B

    $

    C

    $

    D

    $

    Reveal answer
91. 91

    NUST Engineering Past Paper-19

    If , find .

    A

    B

    C

    D

    None of these

    Reveal answer
92. 92

    NUST Engineering Past Paper-19

    Evaluate .

    A

    B

    C

    D

    Reveal answer
93. 93

    NUST Engineering Past Paper-19

    Identify the number of degrees in one complete rotation (or full circular sweep).

    A

    B

    C

    D

    Reveal answer
94. 94

    NUST Engineering Past Paper-19

    Determine the domain of .

    A

    B

    C

    D

    Reveal answer
95. 95

    NUST Engineering Past Paper-19

    If , determine .

    A

    B

    C

    D

    Reveal answer
96. 96

    NUST Engineering Past Paper-19

    Determine the REMAINDER when the polynomial is divided by .

    A

    B

    C

    D

    Reveal answer
97. 97

    NUST Engineering Past Paper-19

    Given , simplify in terms of trigonometric functions of .

    A

    B

    C

    D

    Reveal answer
98. 98

    NUST Engineering Past Paper-19

    Determine the ABSOLUTE MINIMUM value of the function on the closed interval .

    A

    B

    C

    D

    Reveal answer
99. 99

    NUST Engineering Past Paper-19

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

    A

    Varied

    B

    Exciting

    C

    Vibrant

    D

    Tedious

    Reveal answer
100. 100

     NUST Engineering Past Paper-19

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

     A

     Active opposition or hostility

     B

     Mutual understanding between two parties

     C

     A feeling of indifference

     D

     Strong friendship and cooperation

     Reveal answer
101. 101

     NUST Engineering Past Paper-19

     Pick the option that best defines 'Abomination':

     A

     A minor inconvenience

     B

     Something that causes disgust or hatred

     C

     A feeling of joy

     D

     A source of great admiration

     Reveal answer
102. 102

     NUST Engineering Past Paper-19

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

     A

     Copious

     B

     Lavish

     C

     Ample

     D

     Scarce

     Reveal answer
103. 103

     NUST Engineering Past Paper-19

     Pick the option that best defines 'Adhere':

     A

     To question authority

     B

     To move away rapidly

     C

     To misinterpret a rule

     D

     To stick firmly to a surface or belief

     Reveal answer
104. 104

     NUST Engineering Past Paper-19

     Pick the word closest in meaning to 'Ambiguous':

     A

     Definite

     B

     Explicit

     C

     Transparent

     D

     Equivocal

     Reveal answer
105. 105

     NUST Engineering Past Paper-19

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

     A

     Brazen

     B

     Intrepid

     C

     Timid

     D

     Reckless

     Reveal answer
106. 106

     NUST Engineering Past Paper-19

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

     A

     Somber

     B

     Grim

     C

     Desolate

     D

     Promising

     Reveal answer
107. 107

     NUST Engineering Past Paper-19

     Pick the option that best defines 'Blunt' (as applied to speech):

     A

     Overly polished and refined

     B

     Speaking or expressed in a direct, uncompromising way

     C

     Extremely sharp and pointed

     D

     Unusually subtle and tactful

     Reveal answer
108. 108

     NUST Engineering Past Paper-19

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

     A

     Coarse

     B

     Refined

     C

     Uncouth

     D

     Rude

     Reveal answer
109. 109

     NUST Engineering Past Paper-19

     Pick the word closest in meaning to 'Braggart':

     A

     Boaster

     B

     Recluse

     C

     Introvert

     D

     Philanthropist

     Reveal answer
110. 110

     NUST Engineering Past Paper-19

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

     A

     Persevering

     B

     Tireless

     C

     Negligent

     D

     Assiduous

     Reveal answer
111. 111

     NUST Engineering Past Paper-19

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

     A

     Overlook

     B

     Abandon

     C

     Nurture

     D

     Ignore

     Reveal answer
112. 112

     NUST Engineering Past Paper-19

     Pick the word closest in meaning to 'Precarious':

     A

     Firm

     B

     Stable

     C

     Secure

     D

     Unstable

     Reveal answer
113. 113

     NUST Engineering Past Paper-19

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

     A

     Idle

     B

     Sluggish

     C

     Active

     D

     Stationary

     Reveal answer
114. 114

     NUST Engineering Past Paper-19

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

     A

     Calm

     B

     Turmoil

     C

     Composure

     D

     Peace

     Reveal answer
115. 115

     NUST Engineering Past Paper-19

     Pick the option that best defines 'Postmortem':

     A

     An examination carried out before an event

     B

     A preparation carried out before surgery

     C

     A prediction of future events

     D

     An analysis or examination done after an event or death

     Reveal answer
116. 116

     NUST Engineering Past Paper-19

     Pick the correctly spelled verb meaning to make someone feel very happy or animatedly thrilled.

     A

     Exhillerate

     B

     Exhilirate

     C

     Exhilarate

     D

     Exhalarate

     Reveal answer
117. 117

     NUST Engineering Past Paper-19

     Pick the antonym of the adjective VAGUE.

     A

     Hazy

     B

     Uncertain

     C

     Ambiguous

     D

     Clear

     Reveal answer
118. 118

     NUST Engineering Past Paper-19

     Complete the analogy: Ocean is to Mariana Trench as Space is to ___.

     A

     Asteroid Belt

     B

     Black hole

     C

     Jupiter

     D

     Sun

     Reveal answer
119. 119

     NUST Engineering Past Paper-19

     Identify the correct preposition phrase to fill the blank: 'Every student must submit his or her homework before the deadline, otherwise, they will not be allowed to ___ the class discussion.'

     A

     Participated from

     B

     Participate by

     C

     Participate on

     D

     Participate in

     Reveal answer
120. 120

     NUST Engineering Past Paper-19

     Identify any grammatical error in the sentence: 'Despite the heavy rain, he insisted on / walking to work / every day.'

     A

     No error

     B

     Despite the heavy rain

     C

     He insisted on

     D

     Walking to work

     Reveal answer
121. 121

     NUST Engineering Past Paper-19

     Cloze: 'Dance choreographer Jawole Willa Jo Zollar aims to give people the opportunity to be ___ her creative process.' Pick the most logical and precise completion.

     A

     Delayed by

     B

     Nervous about

     C

     Involved in

     D

     Completed by

     Reveal answer
122. 122

     NUST Engineering Past Paper-19

     Complete the analogy: Book is to Author as Symphony is to ___.

     A

     Musician

     B

     Conductor

     C

     Instrument

     D

     Composer

     Reveal answer
123. 123

     NUST Engineering Past Paper-19

     Pick the synonym of the adjective LUGUBRIOUS.

     A

     Joyful

     B

     Morose

     C

     Exhilarated

     D

     Vivacious

     Reveal answer
124. 124

     NUST Engineering Past Paper-19

     Complete the analogy: Whisper is to Scream as Breeze is to ___.

     A

     Storm

     B

     Wind

     C

     Chill

     D

     Cyclone

     Reveal answer
125. 125

     NUST Engineering Past Paper-19

     Pick the synonym of the verb PALLIATE.

     A

     Mitigate

     B

     Aggravate

     C

     Embolden

     D

     Elucidate

     Reveal answer
126. 126

     NUST Engineering Past Paper-19

     Identify any grammatical error in: 'The jury / were divided / in their opinions / regarding the verdict.'

     A

     In their opinions

     B

     Were divided

     C

     The jury

     D

     No error

     Reveal answer
127. 127

     NUST Engineering Past Paper-19

     Fill the blank with the correct verb form: 'Despite her busy schedule, she always makes time ___ yoga in the morning.'

     A

     Do

     B

     To do

     C

     For doing

     D

     To doing

     Reveal answer
128. 128

     NUST Engineering Past Paper-19

     Complete the analogy: Seed is to Growth as Blueprint is to ___.

     A

     Building

     B

     Plan

     C

     Architect

     D

     Construction

     Reveal answer
129. 129

     NUST Engineering Past Paper-19

     Identify the option whose subject-verb-pronoun agreement is correct.

     A

     The committee has decided to change its meeting schedule.

     B

     The committee have decided to change their meeting schedule.

     C

     The committee has decided to change their meeting schedule.

     D

     The committee have decided to change its meeting schedule.

     Reveal answer
130. 130

     NUST Engineering Past Paper-19

     Identify the grammatically correct sentence among the listed options.

     A

     The number of participants is increasing every year.

     B

     The number of participant are increasing every year.

     C

     A number of participant is increasing every year.

     D

     A number of participants are increasing every year.

     Reveal answer
131. 131

     NUST Engineering Past Paper-19

     Pick the correctly spelled adjective meaning thorough, careful, and diligent.

     A

     Conscientious

     B

     Consciencious

     C

     Conscientiaus

     D

     Concientious

     Reveal answer
132. 132

     NUST Engineering Past Paper-15 NUST Engineering Past Paper-19 NUST Engineering Past Paper-1

     Pick the option that best captures the meaning of the adjective SAGACIOUS.

     A

     Wise

     B

     Foolish

     C

     Unwise

     D

     Ignorant

     Reveal answer
133. 133

     NUST Engineering Past Paper-19

     Pick the synonym of the adjective OBDURATE.

     A

     Malleable

     B

     Stubborn

     C

     Yielding

     D

     Compliant

     Reveal answer
134. 134

     NUST Engineering Past Paper-19

     Complete the analogy: Cipher is to Code as Hieroglyphics is to ___.

     A

     Pictogram

     B

     Alphabet

     C

     Script

     D

     Cuneiform

     Reveal answer
135. 135

     NUST Engineering Past Paper-19

     Pick the option that best captures the meaning of the noun CACOPHONY.

     A

     A harsh mixture of discordant sounds

     B

     Pleasing harmony of sounds

     C

     A soft musical melody

     D

     Complete silence

     Reveal answer
136. 136

     NUST Engineering Past Paper-19 NUST Engineering Past Paper-3

     Pick the option that best captures the meaning of the verb OBVIATE.

     A

     To clearly explain something carefully

     B

     To observe

     C

     To remove an obstacle before it arises

     D

     To make something worse

     Reveal answer
137. 137

     NUST Engineering Past Paper-19

     In Young's double-slit experiment, the two slits have amplitudes in the ratio . What is the ratio of intensities at a bright fringe to that at a dark fringe?

     A

     9:4

     B

     36:16

     C

     5:1

     D

     25:1

     Reveal answer
138. 138

     NUST Engineering Past Paper-19

     Two springs combine to give an effective stiffness N/m in series. A mass kg hangs from this combination. Find the frequency of small oscillations.

     A

     Hz

     B

     Hz

     C

     Hz

     D

     Hz

     Reveal answer
139. 139

     NUST Engineering Past Paper-19

     Find the work done when a force of N is applied at an angle of to the horizontal, moving an object m along the horizontal.

     A

     2000 J

     B

     4000 J

     C

     J

     D

     1000 J

     Reveal answer
140. 140

     NUST Engineering Past Paper-19

     Determine the dimensional formula of the constant that appears in (electric field of a point charge).

     A

     B

     C

     D

     Reveal answer
141. 141

     NUST Engineering Past Paper-19

     A coil has induced EMF V when the current through it changes at the rate A/s. Determine the self-inductance .

     A

     0.5 H

     B

     0.25 H

     C

     1 H

     D

     4 H

     Reveal answer
142. 142

     NUST Engineering Past Paper-19

     Determine the number of significant figures in the number .

     A

     6

     B

     3

     C

     2

     D

     5

     Reveal answer
143. 143

     NUST Engineering Past Paper-19

     In Young's double-slit experiment, the amplitudes of the two slit waves are in the ratio . Determine the ratio of the intensity at a bright fringe to that at a dark fringe.

     A

     4:1

     B

     16:4

     C

     4:1 (same as A)

     D

     9:1

     Reveal answer
144. 144

     NUST Engineering Past Paper-19

     When the expression is evaluated, each input value has significant figures. How many significant figures should the result be reported to?

     A

     4

     B

     2

     C

     3

     D

     6

     Reveal answer
145. 145

     NUST Engineering Past Paper-19

     In a common-emitter transistor configuration with base current A and collector current mA, determine the DC current gain .

     A

     100

     B

     10

     C

     250

     D

     50

     Reveal answer
146. 146

     NUST Engineering Past Paper-19

     Identify the hydrogen-atom spectral series corresponding to electron transitions terminating at the energy level (ground state).

     A

     Lyman series

     B

     Paschen series

     C

     Pfund series

     D

     Balmer series

     Reveal answer
147. 147

     NUST Engineering Past Paper-19

     In simple harmonic motion, what is the term for the maximum displacement of the oscillator from its equilibrium position?

     A

     Time period

     B

     Frequency

     C

     Amplitude

     D

     Phase

     Reveal answer
148. 148

     NUST Engineering Past Paper-19

     A force acts on a body whose displacement makes an angle of with . Identify the expression for the work done.

     A

     B

     C

     D

     Reveal answer
149. 149

     NUST Engineering Past Paper-19

     Identify the physical properties of an ideal gas on which the speed of sound through the gas depends.

     A

     Pressure of the gas only

     B

     Frequency and amplitude of the wave

     C

     Density of the gas only

     D

     Temperature and nature (molecular mass) of the gas

     Reveal answer
150. 150

     NUST Engineering Past Paper-19

     In Young's double-slit experiment, identify the path difference condition for the -th DARK fringe (destructive interference).

     A

     B

     C

     D

     Reveal answer
151. 151

     NUST Engineering Past Paper-19

     An object undergoes uniform circular motion with angular velocity rad/s on a circle of radius m. Determine its centripetal acceleration.

     A

     B

     C

     D

     Reveal answer
152. 152

     NUST Engineering Past Paper-19

     An electron in a hydrogen atom transitions from the to the energy level. Identify the spectral series to which the emitted photon belongs.

     A

     Balmer series

     B

     Pfund series

     C

     Lyman series

     D

     Paschen series

     Reveal answer
153. 153

     NUST Engineering Past Paper-19

     In Young's double-slit experiment, the slit separation is HALVED and the screen distance is simultaneously DOUBLED (with wavelength unchanged). Determine how the fringe width changes.

     A

     Unchanged

     B

     Half the original

     C

     Four times the original

     D

     Double the original

     Reveal answer
154. 154

     NUST Engineering Past Paper-19

     In Young's double-slit experiment, monochromatic light of wavelength nm illuminates two slits separated by mm. The screen is at distance m. Determine the fringe width.

     A

     12 mm

     B

     3 mm

     C

     6 mm

     D

     9 mm

     Reveal answer
155. 155

     NUST Engineering Past Paper-19

     A man has mass kg on Earth. Determine his WEIGHT on the Moon, where and m/s.

     A

     167 N

     B

     1000 N

     C

     600 N

     D

     100 N

     Reveal answer
156. 156

     NUST Engineering Past Paper-19

     A particle moves in a circular path of radius m, completing revolutions per second. If its angular speed is increasing at the rate of rad/s, determine its angular acceleration.

     A

     B

     C

     D

     Reveal answer
157. 157

     NUST Engineering Past Paper-19

     A mass kg is attached to a spring-mass system whose effective spring constant is N/m. Determine the frequency of oscillation.

     A

     Hz

     B

     Hz

     C

     Hz

     D

     Hz

     Reveal answer
158. 158

     NUST Engineering Past Paper-19

     Evaluate and express the result with the correct number of significant figures.

     A

     B

     C

     (3 sig figs)

     D

     Reveal answer
159. 159

     NUST Engineering Past Paper-19

     Identify which of the following changes leaves the fringe pattern in Young's double-slit experiment UNCHANGED.

     A

     Using white light instead of monochromatic light

     B

     Increasing the wavelength of light

     C

     Doubling both the slit separation and screen distance simultaneously

     D

     Immersing the apparatus in water

     Reveal answer
160. 160

     NUST Engineering Past Paper-19

     Determine the instantaneous velocity of a particle undergoing simple harmonic motion at the moment it reaches its maximum displacement (amplitude).

     A

     B

     C

     Zero

     D

     Maximum

     Reveal answer
161. 161

     NUST Engineering Past Paper-19

     Determine the unit vector in the direction of .

     A

     B

     C

     D

     Reveal answer
162. 162

     NUST Engineering Past Paper-19

     Two simple pendulums have lengths and respectively. Determine the ratio of the time period of the longer to that of the shorter.

     A

     9

     B

     81

     C

     1/3

     D

     3

     Reveal answer
163. 163

     NUST Engineering Past Paper-19

     If the average density of the Earth were to INCREASE while keeping its radius unchanged, how would the surface acceleration due to gravity change?

     A

     Remain same

     B

     Increase

     C

     None of the above

     D

     Decrease

     Reveal answer
164. 164

     NUST Engineering Past Paper-19

     Identify the device that converts mechanical energy into electrical energy.

     A

     Motor

     B

     Transformer

     C

     Capacitor

     D

     Generator

     Reveal answer
165. 165

     NUST Engineering Past Paper-19

     Among the listed electromagnetic radiations, which is most commonly used to determine the atomic-scale structure of crystals (e.g., via diffraction)?

     A

     Gamma rays

     B

     Infrared rays

     C

     X-rays

     D

     UV rays

     Reveal answer
166. 166

     NUST Engineering Past Paper-19

     Identify the optical phenomenon responsible for bright and dark fringes appearing CLOSE together (narrow fringe spacing).

     A

     Interference

     B

     Polarization

     C

     Diffraction

     D

     Refraction

     Reveal answer
167. 167

     NUST Engineering Past Paper-19

     Among the following relations, identify the statement that is FALSE for an adiabatic process performed on an ideal gas.

     A

     B

     None of the above

     C

     D

     Reveal answer
168. 168

     NUST Engineering Past Paper-19

     Three point charges , , and are placed in a line, with the charge between the other two. Determine the value of (with sign) such that the net force on the middle charge is zero, given the configured geometry described in the question source.

     A

     B

     C

     D

     Reveal answer
169. 169

     NUST Engineering Past Paper-19

     In Young's double-slit experiment with slit separation , screen distance , and wavelength , determine the distance from the CENTRAL bright fringe to the 2ND DARK fringe.

     A

     B

     C

     D

     Reveal answer
170. 170

     NUST Engineering Past Paper-19

     A force of magnitude N acts on a body that is displaced by m, with an angle of between and . Determine the work done.

     A

     5000 J

     B

     2165 J

     C

     2500 J

     D

     J

     Reveal answer
171. 171

     NUST Engineering Past Paper-19

     Identify the physicist who formulated the theory of relativity (special and general).

     A

     Isaac Newton

     B

     Niels Bohr

     C

     Max Planck

     D

     Albert Einstein

     Reveal answer
172. 172

     NUST Engineering Past Paper-19

     Identify the physical quantity whose dimensional formula is .

     A

     Energy

     B

     Momentum

     C

     Force

     D

     Pressure

     Reveal answer
173. 173

     NUST Engineering Past Paper-19

     Determine the approximate escape velocity from the Earth's surface.

     A

     11.2 km/s

     B

     22.2 km/s

     C

     7.9 km/s

     D

     9.8 km/s

     Reveal answer
174. 174

     NUST Engineering Past Paper-19

     Einstein's postulate states that the speed of light is the same in all inertial frames of reference. Identify the correct interpretation among the listed options.

     A

     It remains same in glass to air

     B

     It remains same in water and air

     C

     It remains same in all mediums

     D

     None of these

     Reveal answer
175. 175

     NUST Engineering Past Paper-19

     Equal forces are applied to four balls of EQUAL SIZE (volume) made of different materials. Identify the material whose ball accelerates the most.

     A

     Aluminium

     B

     Wood

     C

     Iron

     D

     Brass

     Reveal answer
176. 176

     NUST Engineering Past Paper-19

     Two long parallel wires carry currents in the SAME direction (upward, say). At the midpoint between them, determine the net magnetic field.

     A

     Cannot be determined

     B

     Zero

     C

     Clockwise

     D

     Counter clockwise

     Reveal answer
177. 177

     NUST Engineering Past Paper-19

     Determine the net electric charge of an n-type semiconductor.

     A

     Positive

     B

     Neutral

     C

     Negative

     D

     Cannot be determined

     Reveal answer
178. 178

     NUST Engineering Past Paper-19

     Identify the factors that determine the electrical resistance of a uniform conductor.

     A

     Length and temperature only

     B

     Cross-sectional area and voltage only

     C

     Length, cross-sectional area, and material of the conductor

     D

     Material and current only

     Reveal answer
179. 179

     NUST Engineering Past Paper-19

     Among the following, identify which is NOT one of the seven SI base units.

     A

     K

     B

     A

     C

     D

     cd

     Reveal answer
180. 180

     NUST Engineering Past Paper-19

     Identify the material best suited as a magnetic shield (i.e., diverting external magnetic field lines around a protected region).

     A

     Cobalt

     B

     Copper

     C

     Nickel

     D

     Iron

     Reveal answer
181. 181

     NUST Engineering Past Paper-19 NUST Engineering Past Paper-1

     Among the listed media, in which does sound travel FASTEST?

     A

     Copper

     B

     Methanol

     C

     Water

     D

     Glass

     Reveal answer
182. 182

     NUST Engineering Past Paper-19

     A charged particle is accelerated through a potential difference, giving it a de Broglie wavelength . If the charge is reduced to AND the voltage is increased to , determine the new wavelength.

     A

     B

     C

     D

     Reveal answer
183. 183

     NUST Engineering Past Paper-19

     Identify the dimensional formula of PRESSURE.

     A

     B

     C

     D

     Reveal answer
184. 184

     NUST Engineering Past Paper-19

     Inside a dispersive medium such as glass, compare the speed of ultraviolet (UV) light with that of visible and infrared (IR) light.

     A

     Greater than both visible and IR

     B

     Equal to visible but lesser than IR

     C

     Lesser than both visible and IR

     D

     Greater than visible but lesser than IR

     Reveal answer
185. 185

     NUST Engineering Past Paper-19

     A spring-mass oscillator has time period . If the spring constant is DOUBLED and the mass is HALVED, determine the new time period.

     A

     B

     C

     D

     Reveal answer
186. 186

     NUST Engineering Past Paper-19

     Evaluate the scalar .

     A

     B

     2

     C

     0

     D

     1

     Reveal answer
187. 187

     NUST Engineering Past Paper-19

     A capacitor is first charged using a battery and then DISCONNECTED from the battery. A dielectric slab is now inserted between the plates. What happens to the charge stored on the capacitor?

     A

     Remain the same

     B

     Decrease

     C

     Become zero

     D

     Increase

     Reveal answer
188. 188

     NUST Engineering Past Paper-19

     Identify the dimensional formula for the modulus of elasticity.

     A

     B

     C

     D

     Reveal answer
189. 189

     NUST Engineering Past Paper-19

     When using an avometer (multimeter) as an AMMETER, how must it be connected in the circuit and what range should be chosen?

     A

     In parallel, with the lowest resistance range selected

     B

     In series, with the highest resistance range selected

     C

     In series, with the lowest resistance range selected

     D

     In parallel, with the highest resistance range selected

     Reveal answer
190. 190

     NUST Engineering Past Paper-19

     Among the values below, which best represents the resistivity of carbon (graphite) at room temperature?

     A

     B

     C

     D

     Reveal answer
191. 191

     NUST Engineering Past Paper-19

     If the mass of a simple pendulum bob is changed from to , what effect does this have on the time period of oscillation?

     A

     Decrease

     B

     Become double

     C

     Remain the same

     D

     Increase

     Reveal answer
192. 192

     NUST Engineering Past Paper-19

     When using an avometer (multimeter) as a VOLTMETER, how must it be connected in the circuit and what range should be chosen?

     A

     In parallel, with a high resistance range selected

     B

     In parallel, with a low resistance range selected

     C

     In series, with a high resistance range selected

     D

     In series, with a low resistance range selected

     Reveal answer
193. 193

     NUST Engineering Past Paper-19 NUST Engineering Past Paper-4

     The conclusion that the luminiferous ether does NOT exist as a medium permeating space is most directly supported by which of the following?

     A

     Coulomb's Law

     B

     Newton's Laws of Motion

     C

     Faraday's Law

     D

     Michelson-Morley Experiment

     Reveal answer
194. 194

     NUST Engineering Past Paper-19

     Identify the SI unit of linear momentum among the following options.

     A

     B

     C

     D

     Reveal answer
195. 195

     NUST Engineering Past Paper-19

     State the definition of the coefficient of performance (COP) of a refrigerator, where is the heat dumped to the hot reservoir, is the heat extracted from the cold reservoir, and is the work input.

     A

     B

     C

     D

     Reveal answer
196. 196

     NUST Engineering Past Paper-19

     A body has measured mass kg on Earth. Determine its mass on the Moon.

     A

     9.8 kg

     B

     1 kg

     C

     2.24 kg

     D

     1.63 kg

     Reveal answer
197. 197

     NUST Engineering Past Paper-19

     If the length of a simple pendulum is increased to TIMES its original length, how does the oscillation frequency change?

     A

     1/4 of original

     B

     1/2 of original

     C

     Quadruple

     D

     Double

     Reveal answer