NUST Engineering Past Paper-3

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

1. 1

   NUST Engineering Past Paper-3

   Simplify .

   A

   B

   C

   D

   Reveal answer
2. 2

   NUST Engineering Past Paper-3

   The polar form of the complex number is:

   A

   B

   C

   D

   None of these

   Reveal answer
3. 3

   NUST Engineering Past Paper-3

   Find the length of the latus rectum of the ellipse .

   A

   B

   C

   D

   5

   Reveal answer
4. 4

   NUST Engineering Past Paper-3

   Compute .

   A

   B

   C

   D

   Does not exist

   Reveal answer
5. 5

   NUST Engineering Past Paper-3

   Evaluate .

   A

   B

   C

   D

   Reveal answer
6. 6

   NUST Engineering Past Paper-3

   Evaluate .

   A

   B

   None of these

   C

   D

   Reveal answer
7. 7

   NUST Engineering Past Paper-3

   For large positive , which grows faster: or ?

   A

   Depends on the value of

   B

   They are always equal

   C

   is always greater

   D

   is always greater

   Reveal answer
8. 8

   NUST Engineering Past Paper-3

   Determine the Maclaurin series expansion of (valid for ).

   A

   B

   C

   D

   Reveal answer
9. 9

   NUST Engineering Past Paper-3

   Determine the term of the sequence .

   A

   B

   C

   D

   Reveal answer
10. 10

    NUST Engineering Past Paper-3

    Two fair coins are tossed FOUR times in succession (8 individual coin flips in all). Determine the probability of obtaining exactly heads in total.

    A

    B

    C

    D

    Reveal answer
11. 11

    NUST Engineering Past Paper-3

    Evaluate .

    A

    B

    C

    D

    Both A and C

    Reveal answer
12. 12

    NUST Engineering Past Paper-3

    Determine the range of the function .

    A

    B

    C

    D

    Reveal answer
13. 13

    NUST Engineering Past Paper-3

    Identify the Maclaurin series expansion of .

    A

    B

    C

    D

    None of these

    Reveal answer
14. 14

    NUST Engineering Past Paper-3

    Two fair dice are rolled three times in succession. Identify the expression for the probability that EACH of the three rolls produces a sum equal to .

    A

    B

    C

    None

    D

    Reveal answer
15. 15

    NUST Engineering Past Paper-3

    A fair coin is tossed times. Determine the probability that EXACTLY one head appears.

    A

    B

    C

    D

    Reveal answer
16. 16

    NUST Engineering Past Paper-3

    A triangle has sides of length , , and . Determine the measure of its LARGEST interior angle.

    A

    B

    C

    D

    Reveal answer
17. 17

    NUST Engineering Past Paper-3

    Evaluate — and select the closest match from the listed options.

    A

    B

    C

    D

    Reveal answer
18. 18

    NUST Engineering Past Paper-3

    If , determine .

    A

    None

    B

    C

    D

    Reveal answer
19. 19

    NUST Engineering Past Paper-3

    Compute .

    A

    B

    None

    C

    D

    Reveal answer
20. 20

    NUST Engineering Past Paper-3

    Determine the foci of the ellipse .

    A

    None of these

    B

    C

    D

    Reveal answer
21. 21

    NUST Engineering Past Paper-3

    Given and , with the initial point of at , determine the terminal point.

    A

    B

    C

    D

    Reveal answer
22. 22

    NUST Engineering Past Paper-3

    In the multiplicative group of nonzero residue classes modulo , identify the multiplicative inverse of .

    A

    B

    C

    D

    Reveal answer
23. 23

    NUST Engineering Past Paper-3

    Determine the period of the function .

    A

    B

    C

    D

    Reveal answer
24. 24

    NUST Engineering Past Paper-3

    If for an acute angle , determine .

    A

    B

    C

    D

    None

    Reveal answer
25. 25

    NUST Engineering Past Paper-3

    Evaluate .

    A

    B

    C

    D

    None

    Reveal answer
26. 26

    NUST Engineering Past Paper-3

    Evaluate .

    A

    B

    C

    D

    None

    Reveal answer
27. 27

    NUST Engineering Past Paper-3

    Evaluate .

    A

    B

    C

    D

    None

    Reveal answer
28. 28

    NUST Engineering Past Paper-3

    State the standard sine-subtraction identity for .

    A

    None

    B

    C

    D

    Reveal answer
29. 29

    NUST Engineering Past Paper-3

    Evaluate .

    A

    B

    None

    C

    D

    Reveal answer
30. 30

    NUST Engineering Past Paper-3

    Evaluate the sum where is a constant independent of the index .

    A

    B

    C

    D

    None

    Reveal answer
31. 31

    NUST Engineering Past Paper-3

    Identify the values of for which .

    A

    B

    C

    D

    None

    Reveal answer
32. 32

    NUST Engineering Past Paper-3

    Given , determine (the tenth derivative).

    A

    None

    B

    C

    D

    Reveal answer
33. 33

    NUST Engineering Past Paper-3

    Given , determine .

    A

    B

    C

    D

    None

    Reveal answer
34. 34

    NUST Engineering Past Paper-3

    Evaluate .

    A

    B

    C

    D

    None

    Reveal answer
35. 35

    NUST Engineering Past Paper-3

    If the discriminant of a quadratic function is strictly positive, describe how its graph relates to the -axis.

    A

    Touches x-axis two times

    B

    Does not touch the x-axis

    C

    Touches x-axis once

    D

    None

    Reveal answer
36. 36

    NUST Engineering Past Paper-3

    An isosceles triangle has a vertex angle of . Determine the measure of each of the two equal base angles.

    A

    B

    C

    D

    None

    Reveal answer
37. 37

    NUST Engineering Past Paper-3

    Compute .

    A

    B

    C

    None

    D

    Reveal answer
38. 38

    NUST Engineering Past Paper-3

    Points , , and are collinear. Determine .

    A

    B

    C

    D

    None

    Reveal answer
39. 39

    NUST Engineering Past Paper-3

    Three fair coins are tossed simultaneously. Determine the probability of obtaining at least one tail.

    A

    None

    B

    C

    D

    Reveal answer
40. 40

    NUST Engineering Past Paper-3

    Two fair dice are rolled simultaneously. Determine the probability that the sum is divisible by .

    A

    B

    C

    D

    None

    Reveal answer
41. 41

    NUST Engineering Past Paper-3

    In a right-angled triangle, the median drawn to the hypotenuse has length . Determine the length of the hypotenuse.

    A

    B

    C

    D

    None

    Reveal answer
42. 42

    NUST Engineering Past Paper-3

    Given , determine .

    A

    B

    C

    None

    D

    Reveal answer
43. 43

    NUST Engineering Past Paper-3

    Evaluate at .

    A

    B

    None

    C

    D

    Reveal answer
44. 44

    NUST Engineering Past Paper-3

    Evaluate at .

    A

    B

    None

    C

    D

    Reveal answer
45. 45

    NUST Engineering Past Paper-3

    Identify the function whose Maclaurin series is .

    A

    B

    C

    D

    None

    Reveal answer
46. 46

    NUST Engineering Past Paper-3

    Determine the domain of .

    A

    B

    C

    None

    D

    Reveal answer
47. 47

    NUST Engineering Past Paper-3

    Determine the domain of .

    A

    B

    C

    None

    D

    Reveal answer
48. 48

    NUST Engineering Past Paper-3

    Simplify .

    A

    B

    C

    D

    None

    Reveal answer
49. 49

    NUST Engineering Past Paper-3

    Evaluate .

    A

    B

    C

    None

    D

    Reveal answer
50. 50

    NUST Engineering Past Paper-3

    For non-zero real and , determine the sign of the expression .

    A

    B

    C

    D

    Can't determine

    Reveal answer
51. 51

    NUST Engineering Past Paper-3

    Compute the sum to infinity of the geometric series .

    A

    B

    C

    D

    None

    Reveal answer
52. 52

    NUST Engineering Past Paper-3

    Determine the domain of .

    A

    B

    C

    None

    D

    Reveal answer
53. 53

    NUST Engineering Past Paper-3

    Identify the special name given to the point in the three-dimensional Cartesian coordinate system.

    A

    2-D

    B

    3-D

    C

    Origin

    D

    B and C

    Reveal answer
54. 54

    NUST Engineering Past Paper-3

    Classify the behaviour of at (maximum, minimum, inflection point, or none of these).

    A

    None

    B

    Inflection point

    C

    Maximum

    D

    Minimum

    Reveal answer
55. 55

    NUST Engineering Past Paper-3

    Identify the type of inverse relationship that the two complex cube roots of unity ( and ) have with each other.

    A

    Linear

    B

    Multiplicative

    C

    None

    D

    Additive

    Reveal answer
56. 56

    NUST Engineering Past Paper-3

    State the algebraic condition(s) on coefficients of the general second-degree equation that make it represent a circle.

    A

    None

    B

    Both and

    C

    D

    Reveal answer
57. 57

    NUST Engineering Past Paper-3

    Determine the number of subsets of the set .

    A

    B

    C

    None

    D

    Reveal answer
58. 58

    NUST Engineering Past Paper-3

    Determine the number of subsets of .

    A

    B

    None

    C

    D

    Reveal answer
59. 59

    NUST Engineering Past Paper-3

    In an arithmetic progression, the term equals the term, and the term equals . Determine the difference between the and terms.

    A

    B

    C

    D

    None

    Reveal answer
60. 60

    NUST Engineering Past Paper-3

    For a general second-degree curve , identify the conic type when the coefficients and have opposite signs.

    A

    None

    B

    Parabola

    C

    Hyperbola

    D

    Ellipse

    Reveal answer
61. 61

    NUST Engineering Past Paper-3

    Determine the slope of the vertical line .

    A

    B

    None

    C

    D

    Reveal answer
62. 62

    NUST Engineering Past Paper-3

    Apply a supplementary-angle identity to simplify .

    A

    B

    C

    None

    D

    Reveal answer
63. 63

    NUST Engineering Past Paper-3

    Simplify .

    A

    B

    C

    None

    D

    Reveal answer
64. 64

    NUST Engineering Past Paper-3

    Evaluate with and .

    A

    B

    None

    C

    D

    Reveal answer
65. 65

    NUST Engineering Past Paper-3

    Find the general term of the arithmetic sequence .

    A

    B

    C

    None

    D

    Reveal answer
66. 66

    NUST Engineering Past Paper-3

    Count the prime numbers between and (exclusive).

    A

    B

    C

    D

    None

    Reveal answer
67. 67

    NUST Engineering Past Paper-3

    State the maximum value of the function over all real .

    A

    None

    B

    C

    D

    Reveal answer
68. 68

    NUST Engineering Past Paper-3

    Find the imaginary part of .

    A

    B

    C

    D

    None

    Reveal answer
69. 69

    NUST Engineering Past Paper-3

    For a general complex number , identify which of the expressions and are real.

    A

    None

    B

    C

    D

    Both

    Reveal answer
70. 70

    NUST Engineering Past Paper-3

    A rectangle has length and width . Determine the length of its diagonal.

    A

    B

    None

    C

    D

    Reveal answer
71. 71

    NUST Engineering Past Paper-3

    Identify the interval on which is increasing.

    A

    B

    None

    C

    D

    Reveal answer
72. 72

    NUST Engineering Past Paper-3

    Given and , evaluate .

    A

    B

    C

    D

    None

    Reveal answer
73. 73

    NUST Engineering Past Paper-3

    Identify the geometric name given to two coplanar lines that never meet and remain a constant distance apart.

    A

    Perpendicular

    B

    Tangent

    C

    Parallel

    D

    None

    Reveal answer
74. 74

    NUST Engineering Past Paper-3

    Treating it as a formal geometric series, evaluate .

    A

    B

    C

    D

    None

    Reveal answer
75. 75

    NUST Engineering Past Paper-3

    Simplify and identify which listed expression(s) are equivalent.

    A

    B

    C

    A and C

    D

    Reveal answer
76. 76

    NUST Engineering Past Paper-3

    Given and , evaluate .

    A

    B

    None

    C

    D

    Reveal answer
77. 77

    NUST Engineering Past Paper-3

    Given , evaluate .

    A

    B

    C

    None

    D

    Reveal answer
78. 78

    NUST Engineering Past Paper-3

    For the word ENGINEERING, determine the probability that all the vowels occur consecutively (as one block) in a random arrangement of its letters.

    A

    B

    C

    D

    None

    Reveal answer
79. 79

    NUST Engineering Past Paper-3

    Find .

    A

    B

    C

    None

    D

    Reveal answer
80. 80

    NUST Engineering Past Paper-3

    Evaluate .

    A

    B

    None

    C

    D

    Reveal answer
81. 81

    NUST Engineering Past Paper-3

    Determine the value of in closed form (as a function of over the common domain).

    A

    B

    C

    D

    None

    Reveal answer
82. 82

    NUST Engineering Past Paper-3

    Find the term independent of in the expansion of .

    A

    term

    B

    term

    C

    None

    D

    term

    Reveal answer
83. 83

    NUST Engineering Past Paper-3

    Determine the number of distinct arrangements of the letters of ISLAMABAD in which the letter is fixed at the first position.

    A

    B

    C

    None

    D

    Reveal answer
84. 84

    NUST Engineering Past Paper-3

    For a triangle with sides , , and , determine the radius of the circumscribed circle (circumradius).

    A

    B

    C

    D

    None

    Reveal answer
85. 85

    NUST Engineering Past Paper-3

    Evaluate .

    A

    B

    None

    C

    D

    Reveal answer
86. 86

    NUST Engineering Past Paper-3

    Student A solves multiple-choice questions, each with options, by random guessing. Student B solves true-or-false questions by random guessing. Determine the approximate probability that Student A scores strictly higher than Student B.

    A

    B

    C

    D

    Reveal answer
87. 87

    NUST Engineering Past Paper-3

    If is a purely imaginary number, determine the smallest positive value of .

    A

    B

    C

    D

    Reveal answer
88. 88

    NUST Engineering Past Paper-3

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

    A

    Obedient

    B

    Assertive

    C

    Passive

    D

    Timid

    Reveal answer
89. 89

    NUST Engineering Past Paper-3

    What is the meaning of the idiom 'hard of hearing'?

    A

    Partially deaf or having difficulty hearing

    B

    Being stubborn in arguments

    C

    Listening very carefully

    D

    Refusing to listen to advice

    Reveal answer
90. 90

    NUST Engineering Past Paper-3

    Pick the word closest in meaning to 'Aloof':

    A

    Approachable

    B

    Detached

    C

    Sociable

    D

    Warm

    Reveal answer
91. 91

    NUST Engineering Past Paper-3

    Pick the word closest in meaning to 'Ambiguity':

    A

    Clarity

    B

    Vagueness

    C

    Certainty

    D

    Precision

    Reveal answer
92. 92

    NUST Engineering Past Paper-3

    Pick the option that best defines 'Bereft':

    A

    Feeling a great sense of loss; lacking something

    B

    Completely satisfied

    C

    Richly provided with everything needed

    D

    Overwhelmed with joy

    Reveal answer
93. 93

    NUST Engineering Past Paper-3

    Pick the word closest in meaning to 'Brook' (used as a verb):

    A

    Deny

    B

    Reject

    C

    Tolerate

    D

    Forbid

    Reveal answer
94. 94

    NUST Engineering Past Paper-3

    Pick the option that best defines 'Diligent':

    A

    Lazy and inattentive

    B

    Acting without thinking

    C

    Performing duties reluctantly

    D

    Having or showing careful and persistent effort

    Reveal answer
95. 95

    NUST Engineering Past Paper-3

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

    A

    Erase

    B

    Accentuate

    C

    Blot out

    D

    Expunge

    Reveal answer
96. 96

    NUST Engineering Past Paper-3

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

    A

    Gaudy

    B

    Showy

    C

    Extravagant

    D

    Restrained

    Reveal answer
97. 97

    NUST Engineering Past Paper-3

    Pick the option that best defines 'Foible':

    A

    A major character flaw that leads to ruin

    B

    An intense emotional outburst

    C

    An outstanding personal virtue

    D

    A minor weakness or eccentricity in someone's character

    Reveal answer
98. 98

    NUST Engineering Past Paper-3

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

    A

    Mortal

    B

    Fatal

    C

    Toxic

    D

    Harmless

    Reveal answer
99. 99

    NUST Engineering Past Paper-3

    Pick the phrase closest in meaning to 'Nadir':

    A

    Apex

    B

    Rock bottom

    C

    Pinnacle

    D

    Summit

    Reveal answer
100. 100

     NUST Engineering Past Paper-3

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

     A

     Trough

     B

     Zenith

     C

     Abyss

     D

     Depths

     Reveal answer
101. 101

     NUST Engineering Past Paper-3

     Pick the option that best defines 'Temperate':

     A

     Easily provoked and aggressive

     B

     Showing moderation and self-restraint

     C

     Extreme in behavior or climate

     D

     Indifferent to surroundings

     Reveal answer
102. 102

     NUST Engineering Past Paper-3

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

     A

     Robust

     B

     Invalid

     C

     Infirm

     D

     Sickly

     Reveal answer
103. 103

     NUST Engineering Past Paper-3

     Pick the word closest in meaning to 'Scorching':

     A

     Frigid

     B

     Mild

     C

     Blistering

     D

     Cool

     Reveal answer
104. 104

     NUST Engineering Past Paper-3

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

     A

     Spirited

     B

     Vivacious

     C

     Playful

     D

     Lethargic

     Reveal answer
105. 105

     NUST Engineering Past Paper-3

     Pick the word closest in meaning to 'Intimate' (close/personal):

     A

     Formal

     B

     Familiar

     C

     Aloof

     D

     Distant

     Reveal answer
106. 106

     NUST Engineering Past Paper-3

     Pick the option that best defines 'Idealistic':

     A

     Approaching situations in a realistic way

     B

     Being driven solely by material gain

     C

     Rejecting all moral standards

     D

     Believing in pursuing high or noble principles even if impractical

     Reveal answer
107. 107

     NUST Engineering Past Paper-3

     Choose the option that gives the correct spelling of the word meaning 'unusual or remarkable':

     A

     Extraordinary

     B

     Extrordinary

     C

     Extaordinary

     D

     Extraordnary

     Reveal answer
108. 108

     NUST Engineering Past Paper-3

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

     A

     Achieve

     B

     Fail

     C

     Obtain

     D

     Succeed

     Reveal answer
109. 109

     NUST Engineering Past Paper-3

     Pick the option that best defines the noun 'legacy':

     A

     Achievement

     B

     Inheritance

     C

     History

     D

     Tradition

     Reveal answer
110. 110

     NUST Engineering Past Paper-3

     Pick the word closest in meaning to 'Alienate':

     A

     Unite

     B

     Integrate

     C

     Estrange

     D

     Attract

     Reveal answer
111. 111

     NUST Engineering Past Paper-3

     Pick the correctly spelled adjective meaning 'relating to or characterized by competition.'

     A

     Competitive

     B

     Competitiey

     C

     Competetive

     D

     Competititve

     Reveal answer
112. 112

     NUST Engineering Past Paper-3

     Pick the correctly spelled form of the verb meaning 'to begrudge.'

     A

     Begrudges

     B

     Begrudgeid

     C

     Begrudging

     D

     Begrudg

     Reveal answer
113. 113

     NUST Engineering Past Paper-3

     Pick the correctly spelled adverb meaning 'at the same time.'

     A

     Simultanneously

     B

     Simultanesly

     C

     Simultaneously

     D

     Simultanously

     Reveal answer
114. 114

     NUST Engineering Past Paper-3

     Pick the correct conditional verb form to fill the blank: 'Ali ___ successful, if he had worked harder.'

     A

     Can be

     B

     Will be

     C

     Would have been

     D

     Will have been

     Reveal answer
115. 115

     NUST Engineering Past Paper-3

     Pick the option closest in meaning to the verb AFFRONT.

     A

     Mitigate

     B

     Insult

     C

     Lull

     D

     Typical

     Reveal answer
116. 116

     NUST Engineering Past Paper-3

     Pick the correctly spelled adjective relating to atomic nuclei (or a similarly designed power plant).

     A

     Nucleur

     B

     Nukelear

     C

     None of the above

     D

     Nuklear

     Reveal answer
117. 117

     NUST Engineering Past Paper-3

     Complete the analogy: Terabyte is to Memory as ___ is to ___.

     A

     Cutter : Tool

     B

     Yellow : Colour

     C

     Ounce : Weight

     D

     Bone : Body

     Reveal answer
118. 118

     NUST Engineering Past Paper-3

     Pick the correctly spelled adjective meaning 'playfully troublesome.'

     A

     Mischeivous

     B

     Mischievous

     C

     Mischevious

     D

     Mischevous

     Reveal answer
119. 119

     NUST Engineering Past Paper-3

     Pick the word used to refer to an alliance or coalition (typically among political parties or states).

     A

     Fragmentation

     B

     Bloc

     C

     Block

     D

     Grab

     Reveal answer
120. 120

     NUST Engineering Past Paper-3

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

     A

     Both praise and admire

     B

     Praise

     C

     None of the above

     D

     Admire

     Reveal answer
121. 121

     NUST Engineering Past Paper-3

     Pick the correctly spelled participial form of the verb BEGRUDGE.

     A

     Begrudging

     B

     Begrudges

     C

     Begrudg

     D

     Begrudgeid

     Reveal answer
122. 122

     NUST Engineering Past Paper-3

     Pick the correctly spelled adverb meaning 'happening at the same time.'

     A

     Simultanosuly

     B

     Simultanesly

     C

     Simultanneously

     D

     Simultaneously

     Reveal answer
123. 123

     NUST Engineering Past Paper-3

     Pick the legal term most closely related to the Latin phrase BONA VACANTIA (property without a clear owner).

     A

     Apocryphal

     B

     Recumbent

     C

     Escheat

     D

     Usufruct

     Reveal answer
124. 124

     NUST Engineering Past Paper-3

     Pick the closest synonym of the noun EXACTITUDE.

     A

     Verisimilitude

     B

     Profligacy

     C

     Supererogation

     D

     Meticulosity

     Reveal answer
125. 125

     NUST Engineering Past Paper-3

     Pick the closest synonym of the adjective AGOG.

     A

     Fulgurant

     B

     Quiescent

     C

     Lentitudinous

     D

     Aflutter

     Reveal answer
126. 126

     NUST Engineering Past Paper-3

     Pick the closest synonym of the adjective ARABLE.

     A

     Fissile

     B

     Mordacious

     C

     Coruscating

     D

     Fructuous

     Reveal answer
127. 127

     NUST Engineering Past Paper-3

     Pick the word that DIFFERS in meaning from INSOUCIANT.

     A

     Carefree

     B

     Worried

     C

     Relaxed

     D

     Casual

     Reveal answer
128. 128

     NUST Engineering Past Paper-3

     Complete the analogy: Calculus is to Integral as Grammar is to ___.

     A

     Vocabulary

     B

     Spelling

     C

     Grammar

     D

     Syntax

     Reveal answer
129. 129

     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
130. 130

     NUST Engineering Past Paper-3

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

     A

     Joyful and straightforward

     B

     Quick and efficient

     C

     Simple and pleasant

     D

     Burdensome and demanding

     Reveal answer
131. 131

     NUST Engineering Past Paper-3

     Pick the synonym of the verb BEGUILE.

     A

     Bore

     B

     Charm

     C

     Repel

     D

     Frighten

     Reveal answer
132. 132

     NUST Engineering Past Paper-3

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

     A

     Ω·m

     B

     Ω·m

     C

     Ω·m

     D

     Ω·m

     Reveal answer
133. 133

     NUST Engineering Past Paper-3

     Two batteries, of EMF V and V, are connected in series such that the positive terminal of the V battery is wired to the NEGATIVE terminal of the V battery. A resistor is then connected across the combination. Determine the voltage across the resistor (assuming negligible internal resistances).

     A

     12 V

     B

     6 V

     C

     10 V

     D

     8 V

     Reveal answer
134. 134

     NUST Engineering Past Paper-3

     A force of magnitude N is applied at a point m from the pivot, producing a torque of N·m. Determine the angle between the force and the position vector (lever arm).

     A

     B

     C

     D

     Reveal answer
135. 135

     NUST Engineering Past Paper-3

     Two like charges are placed at fixed separation. Compare the magnitude of the Coulomb repulsion when the surrounding medium is AIR with that when the medium is OIL (a dielectric).

     A

     Equal to zero

     B

     Less than 1

     C

     Equal to 1

     D

     Greater than 1

     Reveal answer
136. 136

     NUST Engineering Past Paper-3

     For an ideal gas undergoing an isothermal process, if both the number of moles AND the volume are doubled simultaneously (, ), what is the new pressure ?

     A

     B

     C

     D

     Reveal answer
137. 137

     NUST Engineering Past Paper-3

     A free neutron (outside a nucleus) is unstable and undergoes spontaneous beta decay. Identify the products of this decay.

     A

     Two protons and an electron

     B

     A proton, an electron, and an antineutrino

     C

     A proton and a gamma ray

     D

     An alpha particle

     Reveal answer
138. 138

     NUST Engineering Past Paper-3

     Determine the dimensional formula for SURFACE TENSION.

     A

     B

     C

     D

     Reveal answer
139. 139

     NUST Engineering Past Paper-3

     Determine the number of significant figures in the measurement m.

     A

     5

     B

     2

     C

     1

     D

     4

     Reveal answer
140. 140

     NUST Engineering Past Paper-3

     Compute the cross product of and .

     A

     B

     C

     D

     Reveal answer
141. 141

     NUST Engineering Past Paper-3

     A body moves with velocity for time and then with velocity for an EQUAL time . Determine the average velocity over the full journey.

     A

     B

     C

     D

     Reveal answer
142. 142

     NUST Engineering Past Paper-3

     A body of mass moving at speed collides and STICKS to a body of mass at rest. Determine the speed of the combined system after collision.

     A

     B

     C

     D

     Reveal answer
143. 143

     NUST Engineering Past Paper-3

     A W motor lifts a kg load straight up. Taking m/s and assuming efficiency, determine the maximum steady lifting speed.

     A

     m/s

     B

     m/s

     C

     m/s

     D

     m/s

     Reveal answer
144. 144

     NUST Engineering Past Paper-3

     In a perfectly elastic 1-D collision between two objects of EQUAL mass, with one initially at rest, what happens?

     A

     Both stop

     B

     Both move with half the original speed

     C

     Both move together

     D

     The first stops; the second moves with the original speed

     Reveal answer
145. 145

     NUST Engineering Past Paper-3

     Escape velocity from Earth is . For a planet with TWICE Earth's mass and TWICE Earth's radius, determine the escape velocity.

     A

     B

     C

     D

     Reveal answer
146. 146

     NUST Engineering Past Paper-3

     Determine the work done by the centripetal force in uniform circular motion.

     A

     Maximum

     B

     Positive and increasing

     C

     Zero

     D

     Negative

     Reveal answer
147. 147

     NUST Engineering Past Paper-3

     Identify the fundamental fluid principle that underlies the operation of a hydraulic press.

     A

     Newton's second law

     B

     Archimedes' principle

     C

     Pascal's law

     D

     Bernoulli's principle

     Reveal answer
148. 148

     NUST Engineering Past Paper-3

     For a particle undergoing SHM with amplitude , determine the displacement from the mean position at which the kinetic energy EQUALS the potential energy.

     A

     B

     C

     D

     Reveal answer
149. 149

     NUST Engineering Past Paper-3

     SONAR (underwater echolocation) operates on the basis of which type of waves?

     A

     Ultrasonic waves

     B

     Radio waves

     C

     Microwaves

     D

     Infrared waves

     Reveal answer
150. 150

     NUST Engineering Past Paper-3

     For an ideal gas undergoing an ISOTHERMAL process, identify the TRUE statement.

     A

     B

     C

     D

     Reveal answer
151. 151

     NUST Engineering Past Paper-3

     Identify the relation between the Boltzmann constant , the universal gas constant , and Avogadro's number .

     A

     B

     C

     D

     Reveal answer
152. 152

     NUST Engineering Past Paper-3

     In electrostatic equilibrium, where does the free charge on a CONDUCTOR distribute?

     A

     Uniformly throughout the volume

     B

     Uniformly on both surfaces

     C

     Only on the outer surface

     D

     Only on the inner surface

     Reveal answer
153. 153

     NUST Engineering Past Paper-3

     Determine the electric potential at points INSIDE a uniformly charged thin spherical SHELL of total charge and radius .

     A

     Infinite

     B

     Same as at the surface

     C

     Zero

     D

     Varies with distance from center

     Reveal answer
154. 154

     NUST Engineering Past Paper-3

     Identify the time constant of an RC (resistor-capacitor) series circuit.

     A

     B

     C

     D

     Reveal answer
155. 155

     NUST Engineering Past Paper-3

     Among the following materials/devices, identify the one that does NOT obey Ohm's law.

     A

     Copper wire

     B

     Nichrome wire

     C

     P-N junction diode

     D

     Silver wire

     Reveal answer
156. 156

     NUST Engineering Past Paper-3

     Identify the natural frequency of oscillation of an ideal LC circuit (inductance , capacitance ).

     A

     B

     C

     D

     Reveal answer
157. 157

     NUST Engineering Past Paper-3

     A step-up transformer increases which electrical quantity from the primary to the secondary side?

     A

     Voltage

     B

     Power

     C

     Frequency

     D

     Current

     Reveal answer
158. 158

     NUST Engineering Past Paper-3

     In the hydrogen emission spectrum, the BALMER series corresponds to electron transitions terminating at which energy level?

     A

     B

     C

     D

     Reveal answer
159. 159

     NUST Engineering Past Paper-3

     Identify Einstein's photoelectric equation, relating the maximum kinetic energy of emitted photoelectrons to the incident-photon frequency and work function.

     A

     B

     C

     D

     Reveal answer
160. 160

     NUST Engineering Past Paper-3

     Determine the approximate band-gap energy of silicon at room temperature.

     A

     eV

     B

     eV

     C

     eV

     D

     eV

     Reveal answer
161. 161

     NUST Engineering Past Paper-3

     Two projectiles are launched from the same height with the same initial speed, at COMPLEMENTARY angles (such as and ). Compare their horizontal ranges.

     A

     In ratio

     B

     In ratio

     C

     The same

     D

     Different

     Reveal answer
162. 162

     NUST Engineering Past Paper-3

     If BOTH masses are DOUBLED and the separation distance is also DOUBLED, how does Newton's gravitational force between them change?

     A

     B

     C

     D

     Reveal answer
163. 163

     NUST Engineering Past Paper-3

     Among the following physical quantities, identify the one that is a VECTOR.

     A

     Mass

     B

     Speed

     C

     Electric current

     D

     Displacement

     Reveal answer
164. 164

     NUST Engineering Past Paper-3

     Identify the correct form of Snell's law of refraction.

     A

     B

     C

     D

     Reveal answer
165. 165

     NUST Engineering Past Paper-3

     A diverging (concave) lens forms an image of a real object. What are the characteristics of this image?

     A

     Inverted and real

     B

     Real and erect

     C

     Virtual and erect

     D

     Real and magnified

     Reveal answer
166. 166

     NUST Engineering Past Paper-3

     Determine the total number of particles emitted as U decays through its chain to Pb.

     A

     6

     B

     4

     C

     10

     D

     8

     Reveal answer
167. 167

     NUST Engineering Past Paper-3

     State the full expansion of the acronym LASER.

     A

     Light Amplification by Stimulated Emission of Radiation

     B

     Light Attenuation by Selective Emission of Radiation

     C

     Light Absorption by Stimulated Energy Release

     D

     Linear Amplification of Sound by Emitted Radiation

     Reveal answer
168. 168

     NUST Engineering Past Paper-3

     Two coherent waves, each of amplitude , interfere constructively. Determine the resultant amplitude.

     A

     B

     C

     D

     Reveal answer
169. 169

     NUST Engineering Past Paper-3

     A COUPLE consists of two equal and opposite forces of magnitude acting along parallel lines separated by perpendicular distance . Determine the magnitude of the torque produced by the couple.

     A

     B

     C

     D

     Reveal answer
170. 170

     NUST Engineering Past Paper-3

     Identify what a current-carrying solenoid behaves like externally (in the far-field region).

     A

     A capacitor

     B

     A magnetic dipole (bar magnet)

     C

     An electric dipole

     D

     A charged sphere

     Reveal answer
171. 171

     NUST Engineering Past Paper-3

     Identify the gravitational potential energy of a satellite of mass in a CIRCULAR orbit of radius around an Earth of mass .

     A

     B

     C

     D

     Reveal answer
172. 172

     NUST Engineering Past Paper-3

     Determine the speed of electromagnetic waves in vacuum.

     A

     Depends on wavelength

     B

     Depends on frequency

     C

     Varies with observer

     D

     Is constant ( m/s)

     Reveal answer
173. 173

     NUST Engineering Past Paper-3

     Identify the physical phenomenon primarily responsible for the BLUE colour of the daytime sky.

     A

     Interference of light

     B

     Reflection of sunlight

     C

     Rayleigh scattering

     D

     Refraction of sunlight

     Reveal answer
174. 174

     NUST Engineering Past Paper-3

     For a parallel-plate capacitor of capacitance , if both the plate AREA and the plate SEPARATION are halved simultaneously, determine the new capacitance.

     A

     B

     C

     D

     Reveal answer
175. 175

     NUST Engineering Past Paper-3

     Identify the operating region in which an NPN bipolar junction transistor functions as an AMPLIFIER.

     A

     Saturation region

     B

     Cutoff region

     C

     Active region

     D

     Breakdown region

     Reveal answer
176. 176

     NUST Engineering Past Paper-3

     The PASCHEN series of hydrogen corresponds to electron transitions terminating at which energy level?

     A

     B

     C

     D

     Reveal answer
177. 177

     NUST Engineering Past Paper-3

     State Malus's law for the intensity of plane-polarized light of intensity after passing through a linear polarizer whose transmission axis makes an angle with the light's polarization direction.

     A

     B

     C

     D

     Reveal answer
178. 178

     NUST Engineering Past Paper-3

     For an ideal gas at constant volume, if the pressure is DOUBLED, how does the absolute temperature change?

     A

     Halves

     B

     Quadruples

     C

     Remains same

     D

     Doubles

     Reveal answer
179. 179

     NUST Engineering Past Paper-3

     Determine the ratio of the angular momentum of an electron in the SECOND Bohr orbit to that in the FIRST Bohr orbit of hydrogen.

     A

     Four times

     B

     Same

     C

     Double

     D

     Half

     Reveal answer
180. 180

     NUST Engineering Past Paper-3

     In a bipolar transistor, the emitter current is mA and the base current is mA. Determine the collector current.

     A

     mA

     B

     mA

     C

     mA

     D

     mA

     Reveal answer
181. 181

     NUST Engineering Past Paper-3

     Optical fibers transmit light over long distances with minimal loss. Identify the underlying physical phenomenon.

     A

     Refraction

     B

     Diffraction

     C

     Polarization

     D

     Total internal reflection

     Reveal answer
182. 182

     NUST Engineering Past Paper-3

     The average kinetic energy of molecules in an ideal gas is directly proportional to which quantity?

     A

     Volume

     B

     Pressure

     C

     Density

     D

     Absolute temperature

     Reveal answer
183. 183

     NUST Engineering Past Paper-3

     A stretched string of length cm vibrates with fundamental frequency Hz. If the vibrating length is reduced to cm with the tension (and mass density) unchanged, determine the new fundamental frequency.

     A

     Hz

     B

     Hz

     C

     Hz

     D

     Hz

     Reveal answer
184. 184

     NUST Engineering Past Paper-3

     A heat engine absorbs J from the hot reservoir and rejects J to the cold reservoir per cycle. Determine its thermal efficiency.

     A

     B

     C

     D

     Reveal answer
185. 185

     NUST Engineering Past Paper-3

     A constant force N acts on a body displaced from the origin to m. Determine the work done.

     A

     J

     B

     J

     C

     J

     D

     J

     Reveal answer
186. 186

     NUST Engineering Past Paper-3

     Two coherent waves have intensities in the ratio . Determine the ratio of their amplitudes.

     A

     B

     C

     D

     Reveal answer
187. 187

     NUST Engineering Past Paper-3

     Among the listed room geometries, identify the one that gives the best audibility (uniform sound distribution) for an audience.

     A

     Room with parallel walls

     B

     Tunnel shape

     C

     Rectangular room with hard walls

     D

     Room with curved walls

     Reveal answer
188. 188

     NUST Engineering Past Paper-3

     When a charged particle moves through a uniform magnetic field perpendicular to its velocity, the radius of its circular path depends on which combination?

     A

     Mass only

     B

     Both momentum and field strength

     C

     Charge only

     D

     Velocity only

     Reveal answer
189. 189

     NUST Engineering Past Paper-3

     When a falling body reaches TERMINAL velocity, determine the net force acting on it.

     A

     Maximum downward

     B

     Maximum upward

     C

     Zero

     D

     Equal to weight

     Reveal answer
190. 190

     NUST Engineering Past Paper-3

     Identify the condition for CONSTRUCTIVE interference in terms of the path difference .

     A

     where

     B

     C

     D

     Reveal answer
191. 191

     NUST Engineering Past Paper-3

     Identify the name of the ratio (volumetric strain)/(volumetric stress) for a material under uniform pressure.

     A

     Young's modulus

     B

     Compressibility

     C

     Shear modulus

     D

     Bulk modulus reciprocal (compressibility)

     Reveal answer
192. 192

     NUST Engineering Past Paper-3

     Which type of reaction releases the largest amount of energy PER UNIT MASS of fuel?

     A

     Fission reaction

     B

     Chemical reaction

     C

     Combustion

     D

     Fusion reaction

     Reveal answer
193. 193

     NUST Engineering Past Paper-3

     A particle moves in a circular path at CONSTANT speed. Describe its acceleration.

     A

     Increasing continuously

     B

     Zero

     C

     Constant in direction but changing in magnitude

     D

     Constant in magnitude but changing in direction

     Reveal answer
194. 194

     NUST Engineering Past Paper-3

     If the distance between two stationary point charges is DOUBLED, how does the Coulomb force between them change?

     A

     Four times

     B

     One-fourth

     C

     Double

     D

     Half

     Reveal answer
195. 195

     NUST Engineering Past Paper-3

     Identify the primary purpose of the MODERATOR in a thermal nuclear reactor.

     A

     Slow down neutrons

     B

     Reflect neutrons

     C

     Increase neutron energy

     D

     Absorb neutrons

     Reveal answer
196. 196

     NUST Engineering Past Paper-3

     Among the following statements, identify the one that correctly describes a stationary (standing) wave.

     A

     All particles have the same amplitude

     B

     Particles move along the direction of the wave

     C

     There are points called nodes with zero amplitude

     D

     Energy travels in one direction only

     Reveal answer
197. 197

     NUST Engineering Past Paper-3

     Identify the name given to a thermodynamic process carried out at CONSTANT PRESSURE.

     A

     Adiabatic

     B

     Isochoric

     C

     Isobaric

     D

     Isothermal

     Reveal answer
198. 198

     NUST Engineering Past Paper-3

     In a Young's double-slit experiment, the fringe-width formula is . Initially , and . If the slit-to-screen distance is DOUBLED while is kept constant, determine the NEW WAVELENGTH that would RESTORE the original fringe width.

     A

     B

     C

     D

     Reveal answer