The earth’s water circulatory system is known as 1. a. Water Cycle

Rough Work
1.
2.
3.
4.
The earth’s water circulatory system is known as
a. Water Cycle
b. Precipitation Cycle
c. Hydrological Cycle
d. none of these.
‘‘London smog’’ was primarily caused by
a. burning of coal
b. burning of oil
c. eruption of a volcano
d. none of these.
Hairs of human nose can remove all particles of size greater than
a. 1 mm
b. 1micron
c. 10 micron
d. 100 micron
The anaerobic method of mechanical composting, as practices in India, is
called the
5.
a. Indore method
b. Mangalore method
c. Bangalore method
d. none of these
From ecological consideration, the minimum level of dissolved oxygen
necessary in rivers and streams
6.
7.
8.
a. 1 mg/Lt
b. 2 mg/Lt
c. 4 mg/Lt
d. 8 mg/Lt
Non-living factors of eco-systems are
a. Abiotic factor
b. Producers
c. Biotic factor
d. Decomposers
The Wild Life (Protection) Act was enacted in the year
a. 1882
b. 1872
c. 1972
d. 1982
Which of these is not recyclable material?
a. Glass
b. Metal
c. Paper
d. Food Waste
1
Rough Work
9.
Which of the following is a tool for measuring the impact of the project on
environment?
10.
11.
12.
13.
14.
15.
16.
a. Environment Impact Assessment
b. Environment graph
c. Environment Management
d. Environment Protection Law
DDT is a
a. biodegradable pollutant
b. non-biodegradable pollutant
c. biochemical pollutant
d. non pollutant
Example of primary pollutant is
a. CO
b. O2
c. CO2
d. None of these
BOD determines the health of
a. air
b. water
c. soil
d. solid waste
Electrostatic Precipitator is related to
a. air Pollution
b. water palliation
c. noise pollution
d. none of these
pH value of potable water is
a. 6.5
b. 10
c. 11
d. 2.5
Swage is
a. waste water
b. drinking water
c. treated water
d. none of these
The inverse of a skew symmetric matrix (if it exists) is
a. A symmetric Matrix
b. a skew-symmetric Matrix
c. asymmetric Matrix
d. none of these
2
Rough Work
17
The variance of first twenty natural number is
a.
c.
18.
19.
133
b.
4
133
d.
2
1
𝑑𝑦
y = 𝑎𝑒 −𝑥 + b is a solution of 𝑑𝑥 =
𝑦
𝑥2
379
12
399
4
; when
a. a = 1, b = 0
b. a = 3, b = 0
c. a = 1, b = 1
d. a = 2, b = 2
The area of a parallelogram having diagonals 𝑎⃗ = 3𝑖̂ + 𝑗̂ - 2𝑘̂ and
𝑏⃗⃗ = 𝑖̂ - 3𝑗̂ + 4𝑘̂ is,
20.
a. 5√3
b. 2√3
c. 4√3
d. 32√2
The arithmetic mean of the squares of the first n natural numbers is
a.
c.
21.
𝑛+1
b.
6
𝑛2 −1
(𝑛+1)(2𝑛+1)
6
d. none of these
6
Simpson’s 1⁄3 rd Rule can be applied if the number of equal sub-items of
the internal of integration is
22.
a. odd
b. even
c. any
d. none
1
𝜕𝑢
If u(x, y, z) = (𝑥 2 + 𝑦 2 + 𝑧 2 )− 2 ; then the value 𝜕𝑧 at (1,0,1) is,
a. √2
c.
1
√8
b.
1
√3
d. 0
3
Rough Work
23.
P.I. of the differential equation (𝐷2 - 3D + 2)y = 𝑒 3𝑥 is
1
a. 2 𝑒 3𝑥
c.
24.
25.
1
10
1
b.
20
𝑒 −3𝑥
d. 𝑒 3𝑥
𝑒 3𝑥
2006
The value of the determinant |2009
2012
2007
2010
2013
2008
2011| is
2014
a. 0
b. 1
c. -1
d. None of these.
2 0
If A = [0 2
0 0
0
1
0] and B = [0
2
0
2 3
1 3] then the determinant of AB has the
0 2
value
26.
a. 4
b. 8
c. 16
d. 32
Which of the following vectors are perpendicular to each other?
⃗⃗ = 12𝑖̂ + 8𝑗
̂ +16𝑘̂, 𝑅⃗⃗ = 2𝑖̂ - 11𝑗̂ + 4𝑘̂
𝑃⃗⃗ = 3𝑖̂ + 2𝑗̂ + 4𝑘̂ , 𝑄
27.
⃗⃗
a. 𝑃⃗⃗ and 𝑄
⃗⃗ and 𝑅⃗⃗
b. 𝑄
c. 𝑅⃗⃗ and 𝑃⃗⃗
d. both (a) and (b).
One card is selected at random from 50 cards numbered 1 to 50. The
probability that the number on the card is a prime number is
1
3
a. 5
b. 10
1
c. 10
28.
2
d. 5
The standard deviation of the numbers 1,2,3,4,5,6,7,8,9,10 is
1
a. 2 √33
101
c. √ 12
b. 3
98
d. √12
4
Rough Work
29.
From the following data
x:
2
4
6
8
f(x):
4
7
11
18
Estimated value of f(3) is
30.
31.
a. 5.3
b. 5.4
c. 5.5
d. 5.6
The order of convergence in the Newton – Raphson Method is
a. 2
b. 3
c. 0
d. None of these
Three non-parallel forces can be in equilibrium only when they lie in one
plane, intersecting at one point and their free vectors form a closed triangle.
This is known as
32.
a. St. Venant’s Theorem
b. Theorem of Three Forces
c. Lame’s Theorem
d. None of these
The angle between two equal forces P each is Ɵ. The resultant of these
forces is
𝜃
a. 2P.Sin2
𝜃
c. 2P.tan 2
33.
𝜃
b. 2P.Cos2
𝜃
d. 2P. cot 2
The time required to stop a car moving with a velocity of 36 Km/hr within
a distance of 40 m is equal to
34.
a. 10 sec.
b. 8 sec.
c. 5 sec.
d. 4 sec.
The moment of inertia of an ellipse (major axis a and minor axis b) about
its major axis is
a.
c.
𝜋𝑎2 𝑏 2
4
𝜋𝑎𝑏 3
4
b.
d.
5
𝜋𝑎𝑏 3
3
𝜋𝑎3 𝑏
4
Rough Work
35.
A particle is placed on the inside surface of a hollow sphere of radius R.
The coefficient of friction between particle and sphere is
1
. Up to what
√3
maximum height the particle can reach?
36.
a. 0.5 R
b. 0.134 R
c. R
d. 0.150 R
A couple consists of
a. two like parallel forces of same magnitude
b. two like parallel forces of different magnitudes
c. two unlike parallel forces of same magnitude
d. two unlike parallel forces of different magnitudes.
37.
If the sum of all the forces acting on a body is zero, then the body may be
in equilibrium provided the forces are
38.
a. concurrent
b. parallel
c. like parallel
d. unlike parallel
The condition for a lifting machine to be reversible is that its efficiency
should be
39.
40.
a. less than 50%
b. more than 50%
c. more than 66.67%
d. equal to 100%
𝜈=
𝑑𝑥
𝑑𝑡
----- is known as
a. simple velocity
b. average velocity
c. instantaneous velocity
d. escape velocity
Ability of a body to do work by virtue of its motion is called
a. kinetic energy
b. potential energy
c. force
d. none of these
6
Rough Work
41.
42.
Which of the following motion is not a curvilinear motion?
a. Uniform circular motion
b. tangential motion
c. simple harmonic motion
d. vibrational motion
The angles between two forces to make their resultant a minimum and a
maximum respectively are
43.
44.
45.
46.
a. 0° and 90°
b. 180° and 90°
c. 90° and 180°
d. 180° and 0°
Self –Locking machine is also known as
a. ideal machine
b. reversible machine
c. irreversible machine
d. none of them
Maximum efficiency of screw jack depends only on
a. load
b. helix angle
c. angle of friction
d. pitch of the screw
For actual machine, effort-load graph is a
a. straight line
b. point
c. elliptical
d. none of these
In the design of a pulley, shaft and key system, the weakest member in the
system is
47.
a. shaft
b. key
c. pulley
d. both (a) and (b)
A composite bar is made by encasing a steel rod in the brass tube, if the
change in length of 1 Mt. of brass tube is 0.01 mm. What will be the
change in length of 1 Mt. of steel rod if Esteel = 2. Ebrass .
a. 0.005 mm
b. 0.01 mm
c. 0.1 mm
d. 0.02 mm
7
Rough Work
48.
On a plane, resultant stress is inclined at an angle 30° to the plane. If the
normal stress on the plane is 100 N/mm2 , the shear stress on the plane will
be
49.
a. 100 N/mm2
b. 50 N/mm2
c. 200 N/mm2
d. 86.6 N/mm2
Two shafts are made of steel, one is solid with diameter D, and other is
hollow with outer and inner diameter D and 0.5D respectively. The ratio of
the torque transmitted by solid and hollow shafts for the same maximum
shear stress is
15
a. 16
8
c. 5
50.
b.
16
15
5
d. 8
A thick cylinder of inner radius 5 cm and outer radius 10 cm is subjected to
external pressure of 30 N/mm2. The maximum hoop stress developed is
51.
52.
53.
a. 20 N/mm2
b. 40 N/mm2
c. 60 N/mm2
d. 80 N/mm2
Creep depends on
a. temperature
b. surface roughness
c. pressure
d. none of these
Which one of the following relation is correct?
a. elastic limit > proportional limit
b elastic limit < proportional limit
c. proportional limit > breaking point
d. none of these
A rod of length L and diameter D is subjected to a tensile load P. Which of
the following is sufficient to calculate the resulting change in diameter?
a. Young's modulus
b. shear modulus
c. Poisson's ratio
d. both (a) and (b)
8
Rough Work
54.
If the value of Poisson's ratio is zero, then it means that
a. the material is rigid
b. the material is perfectly plastic
c. there is no longitudinal strain in the material
d. the longitudinal strain in the material is infinite
55.
During tensile-testing of a specimen using a Universal Testing Machine,
the parameters actually measured include …..
a. engineering stress and engineering strain
b. Poisson’s ratio and young's modulus
c. true stress and true strain
d. load and elongation
56.
57.
The unit of elastic modulus is the same as those of
a. stress, shear modulus and pressure
b. strain, shear modulus and force
c. shear modulus, stress and force
d. stress, strain and pressure
If a composite bar of steel and copper is heated, then the copper bar will be
under
58.
a. tension
b. compression
c. shear
d. torsion
If the length of a simply supported beam carrying a concentrated load at
the centre is doubled, the defection at the centre will become
59.
a. two times
b. four times
c. eight times
d. sixteen times
Which of the following stress is developed as a result of loading?
a. Normal stress
b. Shear stress
c. Bending stress
d. Principal stress
9
Rough Work
60.
61.
62.
63.
64.
Deformation per unit length in the direction of force is known as
a. strain
b. lateral strain
c. linear strain
d. unit strain
Which is typically the longest: bit, byte, nibble, word?
a. Bit
b. Byte
c. Nibble
d. Word
Which of the following case does not exist in complexity theory
a. Best case
b. Worst case
c. Average case
d. Null case
Two main measures for the efficiency of an algorithm are
a. Processor and memory
b. Complexity and capacity
c. Time and space
d. Data and time
Different components in the motherboard of a PC unit is linked together by
sets of parallel electrical conducting lines. What are these lines called?
65.
a. Conductors
b. Buses
c. Connectors
d. Consecutives
Swapping
a. Works best with many small partitions
b. Allows many programs to use memory simultaneously
c. Allows each program in turn to use the memory
d. Does not work with overlaying
66.
ATM uses
a. fixed-length cells with a 48 byte payload
b. fixed-length cells with a 53 byte payload
c. a 32 byte payload in the U.S., and a 64 byte payload in Europe
d. variable-length packets
10
Rough Work
67.
68.
69.
Which of the following is an internet-level node?
a. Bridge
b. Switch
c. Router
d. None of the above
The hierarchical database model depicts a set of ____ relationships.
a. M:1
b. 1:1
c. 1:M
d. M:N
The number of RAM chips of size (256K x 1) required to build 1MB
memory is
70.
71.
a. 8
b. 32
c. 10
d. 24
The declaration float *a[5]; is
a. an ordinary array
b. a pointer to an array
c. an array of pointers
d. none of the above
What does the following C-statement declare?
Int( * f) ( int *);
a. A function that takes an integer pointer as argument and returns an
integer
b. A function that takes an integer an argument and returns an integer
pointer
c. A pointer to a function that takes an integer pointer as argument and
returns an integer
d. A function that takes integer pointer as argument and returns a function
pointer
72.
73.
Von Neumann architecture is
a. SISD
b. SIMD
c. MIMD
d. MISD
Convert (527)8 to binary
a. 101010111
b. 101010101
c. 111111000
d. 111100101
11
Rough Work
74.
Which of the following logical operations produce a 0 if the three inputs
1,1,0 are given
75.
76.
a. AND
b. XOR
c. XNOR
d. all of these
A finite State Machine can recognize
a. any grammar
b. only CFG
c. any unambiguous grammar
d. only regular grammar
The temperature coefficient of resistance of an insulator is
a. positive and independent of temperature
b. positive and dependent of temperature
c. negative and independent of temperature
d. negative and dependent of temperature
77.
78.
79.
The energy capacity of a storage battery is rated in
a. Kwh
b. KW
c. ampere-hours
d. joules
The area of hysteresis loop is a measure of
a. magnetic flux
b. permeance
c. mmf per cycle
d. energy loss per cycle
If the reading of two watt meters are equal and positive in two wattmeter
method, the load p.f. in a balanced 3 phase 3 wire circuit will be
80.
a. zero
b. 0.5
c. 0.866
d. unity
The number of slip-rings in a 3-phase synchronous motor will be
a. 0
b. 1
c. 2
d. 3 or 4
12
Rough Work
81.
82.
83.
84.
Lamps in street lighting are all connected in
a. Series
b. parallel
c. series-parallel
d. end to end
A 3-phase induction motor has
a. high starting torque
b. no starting torque
c. low starting torque
d. low starting current
Which distribution system is more reliable?
a. Ring main system
b. Tree System
c. Radial System
d. all are equally reliable.
A direct-on-line (DOL) starter is employed for starting motor of rating up
to
85.
86.
87.
88.
a. 3.75 KW
b. 7.5 KW
c. 15 KW
d. 25 KW
Filament of electric bulbs are usually made of
a. Nichrome
b. Tungsten
c. Copper
d. Carbon
The rated voltage of a 3-phase power system is given as
a. peak phase voltage
b. r.m.s. phase voltage
c. peak line to line voltage
d. r.m.s. line to line voltage
Unit of relative power is
a. VA
b. Watt
c. VAR
d. Ohm
A 4-pole, 1200 rpm alternator generates emf at a frequency of
a. 25 Hz
b. 40 Hz
c. 50 Hz
d. 60 Hz
13
Rough Work
89.
90.
91.
The unit of flux density is
a. A/mm2
b. Tesla
c. N/m2
d. Wb/m
Transformer action requires a
a. constant magnetic flux
b. increasing magnetic flux
c. alternating magnetic flux
d. alternating electric flux
A solution curve of the equation xy = 2y, passing through (1,2) also passes
through
92.
a. (2,1)
b. (4,24)
c. (0,0)
d. (24,4)
𝑑𝑦
The integrating factor of x𝑑𝑥 + xy = 1 + y is
x
93.
94.
𝑒𝑥
a. ex
b.
c. xex
d. ex
𝑥
The median of the series 32,16,20,18,37,27,42,44 is
a. 23.5
b. 25.5
c. 27.5
d. 29.5
⃗⃗|, then
If Ɵ is the angle between vectors 𝑎⃗ and 𝑏⃗⃗ , such that |a⃗⃗ X⃗⃗⃗
b| = |a⃗⃗ . b
Ɵ is
95.
a. 0°
b. 45°
c. 120°
d. 180°
0
If A [
2
𝑏
]; then A is
𝑑
2 1
]
0 0
b. [
2 1
]
−1 0
2
1
d. [− 1 − 1]
2
2
a. [
c. [
2 1
1
𝑎
]= [
] where A = [
−1 0
−1
𝑐
14
0
1
]
2 −1
Rough Work
96.
In the Newton’s Forward Interpolation formula the value of u =
𝑥−𝑥0
ℎ
lies
between
97.
a. 1 and 2
b. -1 and 1
c. 0 and ∞
d. 0 and 1
The median of a set of 9 distinct observations is 20.5. If each of the longest
4 observations of the set is increased by 2, then median
a. is decreased by 2
b. is two times the original median
c. remains same of that of the original set
d. is increased by 2
98.
A
If A and B are two events such that P(A) > 0 and P(B) < 1, then P( B̅) is
equal to,
̅
A
a. 1 – P( B )
c.
99.
̅̅̅̅
P(A)
P(B)
A
b. 1 – P( B̅)
̅
A
d. 1 – P( ̅ )
B
𝑥+2 𝑥+7
If a, b, c are in AP and A = |𝑥 + 5 𝑥 + 11
𝑥 + 8 𝑥 + 15
𝑎
𝑏 | ; then A equals to
𝑐
a. 1
b. 0
c. [– (a+b+c)]
d. (a+b+c)
100. The system of equations,
𝛼𝑥 + 𝑦 + 𝑧 = 𝛼 − 1;
x + 𝛼𝑦 + 𝑧 = 𝛼 − 1;
𝑥 + 𝑦 + 𝛼𝑧 = 𝛼 − 1 has no solution, if 𝛼 equals to,
a. -2
b. 1
c. 2
d. either -2 or 1
******************************************************************************
15