Far Western University, Faculty of Engineering, MSc CPM Entrance Examination 2080.
This is the entrance examination paper, time is 2 hours and full marks is 100 . Each question carries 1 mark .
Subject: Construction Project Management
Objective questions with their solutions asked in the MSc CPM Entrance Examination 2080.
1. If the ratio of men to women in a particular dormitory is 5:3, which of the following could not be the number of residents in the dormitory?
A) 24
B) 40
C) 96
D) 150
See answer
Answer: A
2. If 25 students took an exam and 4 of them failed, what percent of them passed?
A) 21%
B) 42%
C) 84%
D) 96%
See answer
Answer: C
3. If 3a + 5b = 10 and 5a + 3b = 30, what is the average (arithmetic mean) of a and b?
A) 1.5
B) 2.5
C) 3
D) 4
See answer
Answer: B
4. What is the maximum area of the rectangle with perimeter 620 mm?
A) 24,025 mm²
B) 22,725 mm²
C) 24,000 mm²
D) 24,075 mm²
See answer
Answer: A
5. If 15 workers can do a job in 24 days, how many days will 40 workers take to do the same job working at the same rate?
A) 6
B) 9
C) 15
D) 24
See answer
Answer: B
6. What is the surface area of a cube whose volume is 64?
A) 16
B) 64
C) 96
D) 128
See answer
Answer: C
7. Two acute angles in a right-angled triangle are in the ratio of 2:7. What is the measure of the larger angle?
A) 40º
B) 50º
C) 60º
D) 70º
See answer
Answer: D
8. If \( x^2 – y^2 = 32 \) and \( x - y = 4 \), what is the average value of x and y?
A) 4
B) 3
C) 2
D) 1
See answer
Answer: A
9. If 3 pieces of chocolates cost $0.50, how many chocolates can you buy for $10?
A) 20
B) 40
C) 60
D) 80
See answer
Answer: D
10. What is the ratio of the circumference of a circle to its radius?
A) \(2\pi\)
B) \(\pi\)
C) \(\pi^2\)
D) \(\sqrt{\pi}\)
See answer
Answer: A
11. Find relation between a and b such that the following limit is got after a single application of L’Hospital’s Rule?
A) b⁄a = 2
B) a⁄b = 2
C) a = b
D) a = -b
See answer
Answer: B
12. If l, m, n are the direction cosines of a position vector \( \vec{a} \), then which of the following is true?
A) \(l^2 + m^2 - n^2 = 0\)
B) \(lmn = 1\)
C) \(l^2 + m^2 + n^2 = 1\)
D) \(l^2 m^2 + n^2 = 1\)
See answer
Answer: C
13. The quantity \( y = mx + c \) represents a?
A) Circle
B) Straight line
C) Parabola
D) None of these
See answer
Answer: B
14. A dealer bought a mobile for $900 and later sold it for $1,260. By what percent did the value of the mobile increase?
A) 40%
B) 35%
C) 30%
D) 25%
See answer
Answer: A
15. Solution of the differential equation \( \frac{dy}{dx} + y \cot x = \cos x \) is?
A) \( y \cos x = \sin x + c \)
B) \( y \sin x = \cos x + c \)
C) \( y \sin x = \sin x + c \)
D) \( y \cos x = -\sin x + c \)
See answer
Answer: B
16. Indira solved 24 math problems in 15 minutes. At this rate, how many problems can she solve in 40 minutes?
A) 40
B) 48
C) 60
D) 64
See answer
Answer: C
17. If \( 4^a \times 4^b = 4^{200} \), what is the average of a and b?
A) 50
B) 100
C) 150
D) 200
See answer
Answer: B
18. Which of the following is the adjoint of the matrix \( A = \begin{bmatrix}a & b\\ c & d\end{bmatrix} \)?
A) \( \begin{bmatrix}d & -b\\ -c & a\end{bmatrix} \)
B) \( \begin{bmatrix}-d & b\\ c & -a\end{bmatrix} \)
C) \( \begin{bmatrix}a & c\\ b & d\end{bmatrix} \)
D) \( \begin{bmatrix}-a & -b\\ -c & -d\end{bmatrix} \)
See answer
Answer: A
19. What is the area of a rectangle whose length is twice its width and whose perimeter is equal to that of a square whose area is 1?
A) 6
B) 2/3
C) 4/3
D) 8/9
See answer
Answer: C
20. If \( \frac{a}{b+c} = \frac{b}{c+a} = \frac{c}{a+b} \), what is a in terms of b and c?
A) \( \frac{b+c}{2} \)
B) \( \sqrt{bc} \)
C) \( \frac{b-c}{2} \)
D) None of these
See answer
Answer: A
21. If x% of y is 10, what is y?
A) 10/x
B) 100/x
C) 1000/x
D) x/10
See answer
Answer: B
22. What is the sum of the product and quotient of 7 and 7?
A) 47
B) 48
C) 49
D) 50
See answer
Answer: B
23. If \( 2^x = 32 \), what is \( x^2 \)?
A) 5
B) 10
C) 25
D) 100
See answer
Answer: C
24. What is the value of \( \frac{1}{7!} \)?
A) 1/56
B) 1/48
C) 1/8
D) 3/8
See answer
Answer: A
25. If \( x^2 - y^2 = 28 \) and \( x - y = 8 \), what is the average of x and y?
A) 1.75
B) 3.5
C) 7
D) 8
See answer
Answer: B
26. The process of determining the locations of the instrument station by drawing resectors from the location of the known stations is called?
A) Intersection
B) Radiation
C) Resection
D) Traversing
See answer
Answer: C
27. The bearing of line AB is 152°30’ and angle ABC measured clockwise is 124°30’. The bearing of BC is?
A) 25°00’
B) 95°00’
C) 148°00’
D) 190°00’
See answer
Answer: D
28. If the reduced bearing of a line is N87°W, its whole circle bearing is?
A) 3°
B) 87°
C) 93°
D) 273°
See answer
Answer: D
29. If the angular measurements of a traverse are more precise than its linear measurements, balancing of the traverse is done by?
A) Bowditch’s rule
B) Transit rule
C) Empirical rule
D) None of these
See answer
Answer: B
30. If the R.L. of a B.M. is 100 m, the back sight is 1.215 m and the foresight is 1.870 m, the R.L. of the forward station is?
A) 99.345 m
B) 100.345 m
C) 100.655 m
D) 101.870 m
See answer
Answer: A
31. The first reading from a level station is?
A) Foresight
B) Intermediate sight
C) Backsight
D) Any sight
See answer
Answer: C
32. Reciprocal levelling eliminates?
A) Collimation error
B) Error due to earth’s curvature
C) Error due to atmospheric refraction
D) All of these
See answer
Answer: D
33. The rocks which are formed by gradual deposition, are called?
A) Sedimentary rocks
B) Igneous rocks
C) Metamorphic rocks
D) None of these
See answer
Answer: A
34. Sandstone is?
A) Igneous rock
B) Sedimentary rock
C) Metamorphic rock
D) Volcanic rock
See answer
Answer: B
35. Most commonly used solvent in oil paints is?
A) Petroleum
B) Spirit
C) Coaltar
D) Turpentine
See answer
Answer: D
36. Stone to be used for rubble masonry must be?
A) Hard
B) Soft
C) Light
D) Heavy
See answer
Answer: A
37. The base material for distemper is?
A) Lime
B) Lime putty
C) Cement wash
D) Chalk
See answer
Answer: D
38. The most fire-resistant paint is?
A) Enamel paint
B) Aluminum paint
C) Asbestos paint
D) Cement paint
See answer
Answer: C
39. The frog of a brick is normally made on its?
A) Top face
B) Bottom face
C) Longer face
D) Shorter face
See answer
Answer: A
40. The raw material in the manufacture of cement is?
A) Basalt
B) Slate
C) Limestone
D) Sandstone
See answer
Answer: C
41. Slump test for concrete is carried out to determine?
A) Strength
B) Durability
C) Workability
D) Water content
See answer
Answer: C
42. The damp proof course is measured in?
A) Meter
B) Square meter
C) Cubic meter
D) None of these
See answer
Answer: B
43. The weight of 16 mm diameter mild steel bar per meter length is equal to?
A) 0.62 kg
B) 0.89 kg
C) 1.58 kg
D) 2.35 kg
See answer
Answer: C
44. The technique of finding the fair price of an existing building is known as?
A) Estimation
B) Valuation
C) Pricing
D) Costing
See answer
Answer: B
45. The approximate weight of one cubic meter mild steel is?
A) 2,400 kg
B) 4,600 kg
C) 7,850 kg
D) 10,000 kg
See answer
Answer: C
46. If B is the width of formation, d is the height of the embankment, side slope S:1, for a highway with no transverse slope, the area of cross-section is?
A) B + d + Sd
B) Bd + Sd^2
C) Bxd - Sd^2
D) (Bd + Sd^2)/2
See answer
Answer: D
47. Cohesionless soil is?
A) Sand
B) Silt
C) Clay
D) None of these
See answer
Answer: A
48. The liquid limit and plastic limit exists in?
A) Sandy soil
B) Silty soil
C) Gravel soil
D) Clay soil
See answer
Answer: D
49. The property of a soil which permits water to percolate through it is called?
A) Moisture content
B) Permeability
C) Capillarity
D) None of these
See answer
Answer: B
50. The vane shear test is used for the in-situ determination of the undrained strength of the intact fully saturated?
A) Sands
B) Gravels
C) Clays
D) Highly organic soils
See answer
Answer: C
51. The active earth pressure of a soil is proportional to?
A) Tan (45°-θ)
B) Tan² (45°+θ)
C) Tan² (45°-θ)
D) Tan (45°+θ)
See answer
Answer: C
52. Which one of the following is not an excavating and moving type of equipment?
A) Bulldozer
B) Clam shell
C) Scraper
D) Dump truck
See answer
Answer: D
53. The artificial activity which indicates that an activity following it, cannot be started unless the preceding activity is complete, is known as?
A) Event
B) Free float
C) Dummy
D) None of these
See answer
Answer: C
54. Free float (FF) is the maximum amount of time an activity can be delayed without delaying the early start of any of its followers. FF is obtained by?
A) FF = EFj – ESi – D
B) FF = ESj – ESi – D
C) FF = EFi – ESi + D
D) FF = EFj – ESi + D
See answer
Answer: A
55. If tO, tP and tL represent the optimistic, pessimistic, and most likely time estimates, the expected time of completion of the activity is?
A) tE = (tO + 4tL + tP)/6
B) tE = (tO + 4tP + tL)/6
C) tE = (tO + tP + 4tL)/6
D) tE = (tP + 4tO + tL)/6
See answer
Answer: B
56. In CPM, the critical path represents the?
A) Shortest path for the earliest completion of the project
B) Longest path of the network for the earliest completion of the project
C) Ideal path for the earliest completion of the project
D) None of the above
See answer
Answer: B
57. Program Evaluation and Review Technique (PERT) analysis is based on?
A) Optimistic time
B) Pessimistic time
C) Most likely time
D) All of these
See answer
Answer: D
58. Which of these is not the constraint of a project?
A) Scope
B) Resources
C) Team
D) Budget
See answer
Answer: C
59. The process that evaluates project performance to provide confidence is called?
A) Quality assurance
B) Quality planning
C) Quality control
D) Quality audit
See answer
Answer: A
60. Bar charts are suitable for?
A) Mega projects
B) Large projects
C) Medium projects
D) Small projects
See answer
Answer: D
61. Tender document includes, except?
A) Conditions of contract
B) Bill of quantities
C) Valid agreement
D) Specification
See answer
Answer: C
62. Chairperson of construction material rate fixation committee is?
A) Chairperson of District Coordination Office
B) Chief District Officer
C) Chief Executive Officer
D) Chief Communication Officer
See answer
Answer: B
63. An employer must take the responsibility for the wrongdoing by his employee even though he has not committed that mistake is?
A) Vicarious liability
B) Negligence
C) Tort
D) None of these
See answer
Answer: A
64. Which of the following is not a profession?
A) Engineering
B) Law
C) Medicine
D) Teaching
See answer
Answer: D
65. Accepted principles of right or wrong governing the conduct of engineers is called?
A) Engineering values
B) Engineering conduct
C) Engineering ethics
D) Engineering principles
See answer
Answer: C
66. Which is NOT a professional style?
A) Ethical
B) Emotional
C) Responsible
D) Intellectual
See answer
Answer: B
67. What is the process to resolve disputes?
A) Mediation
B) Adjudication
C) Litigation
D) All of these
See answer
Answer: D
68. What is the market situation where there are many buyers and a single seller?
A) Perfect competition
B) Oligopoly
C) Monopoly
D) None of these
See answer
Answer: C
69. Capitalized cost of a project is also known as?
A) Infinite cost
B) Life cycle cost
C) Life cost
D) Project cost
See answer
Answer: A
70. Firm’s liquidity can be judged by?
A) Acid test ratio
B) Liquidity ratio
C) Current ratio
D) Debt ratio
See answer
Answer: C
71. The additional money received from selling one or more units at a specified level of output is?
A) Equivalent revenue
B) Marginal revenue
C) Average revenue
D) None of these
See answer
Answer: B
72. A uniform series of payments occurring at equal intervals of time is called?
A) Annuity
B) Amortization
C) Depreciation
D) Bond
See answer
Answer: A
73. The unknown incidental cost incurred in any project is called?
A) Work charged establishment
B) Overhead cost
C) Supervision cost
D) Contingency
See answer
Answer: D
74. What refers to the amount of money paid for the use of borrowed capital?
A) Simple interest
B) Interest
C) Rate of interest
D) Principal
See answer
Answer: B
75. If interest is paid more than once in a year, “i” is the rate of interest per year, “n” is the number of periods in years, and “m” is the compounding periods per year. Compounded amount factor is?
A) (1 + i/n)
B) (1 + i/m)
C) (1 + m)
D) (1 + n)
See answer
Answer: B
76. The lateral deflection of a beam shall not exceed?
A) 1/250 of the span
B) 1/300 of the span
C) 10 mm
D) 25 mm
See answer
Answer: B
77. If Q is the load factor, S is the shape factor, and F is the factor of safety in elastic design, which relation is correct?
A) Q = S + F
B) Q = S – F
C) Q = F – S
D) Q = F × S
See answer
Answer: D
78. If the modular ratio is m, steel ratio is r, and overall depth of a beam is d, the depth of the critical neutral axis of the beam is?
A) d/m
B) dr/(1 + r)
C) md/(1 + m)
D) mrd/(1 + r)
See answer
Answer: B
79. The ratio of the lateral strain to linear strain is called?
A) Modulus of elasticity
B) Modulus of rigidity
C) Poisson’s ratio
D) Bulk modulus
See answer
Answer: C
80. The diameter of longitudinal bars of a column should never be less than?
A) 8 mm
B) 10 mm
C) 12 mm
D) 16 mm
See answer
Answer: C
81. When load is transferred through one surface to another surface in contact, the stress is known as?
A) Compressive stress
B) Shearing stress
C) Working stress
D) Tensile stress
See answer
Answer: B
82. Bitumen, stone chips, and sand are mixed in asphalt concrete paver at a temperature of?
A) 100°C to 120°C
B) 120°C to 140°C
C) 140°C to 160°C
D) 150°C to 170°C
See answer
Answer: C
83. In water bound macadam roads, binding material used is?
A) Stone dust
B) Sand
C) Brick dust
D) Cement
See answer
Answer: A
84. The wall constructed for the stability of an excavated portion of a road on the hill side is known as?
A) Retaining wall
B) Breast wall
C) Parapet wall
D) None of these
See answer
Answer: B
85. When upgrade meets a downgrade, the vertical curve provided in a highway is known as?
A) Valley curve
B) Sag curve
C) Summit curve
D) None of these
See answer
Answer: C
86. If the elevations along a road increase, the slope of the road along the longitudinal direction is known as?
A) Positive grade
B) Negative grade
C) Grade
D) Gradient
See answer
Answer: A
87. The tangent length “T” of a simple circular curve of radius “R” deflecting through Δ is?
A) T = R sin Δ
B) T = R tan Δ
C) T = R sin Δ/2
D) T = R tan Δ/2
See answer
Answer: D
88. The full width of land acquired before finalizing a road is?
A) Formation width
B) Right of way
C) Carriage way
D) Roadway
See answer
Answer: B
89. Which of the following is a method used for predicting flood hydrographs?
A) Hyetograph
B) Unit hydrograph
C) Normal hydrograph
D) Crest method
See answer
Answer: B
90. Surface water is obtained from?
A) Its intensity
B) Its duration
C) Its frequency
D) All of these
See answer
Answer: D
91. The rainfall at any place is described by?
A) Well
B) Springs
C) Artesian well
D) Rain
See answer
Answer: D
92. A unit hydrograph is a hydrograph of a rainstorm of a specified duration resulting from a runoff of?
A) 15 mm
B) 20 mm
C) 25 mm
D) 30 mm
See answer
Answer: C
93. The earthen embankments constructed parallel to the river banks at some suitable distance for flood control is known as?
A) Flood wall
B) River wall
C) Dyke
D) None of these
See answer
Answer: C
94. Pressure relief valves are provided in water mains?
A) To reduce pressure
B) At low points
C) Upstream of sluice
D) All of these
See answer
Answer: D
95. A manhole is generally provided at each?
A) Change of diameter
B) Junction
C) Bend
D) All of these
See answer
Answer: D
96. Carbonates in water produce?
A) Permanent hardness
B) Temporary hardness
C) Alkalinity
D) Acidity
See answer
Answer: B
