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Practice Test: Mechanical Engineering (ME)- 3 - Mechanical Engineering
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65 Questions MCQ Test GATE Mechanical (ME) 2024 Mock Test Series - Practice Test: Mechanical Engineering (ME)- 3
Practice Test: Mechanical Engineering (ME)- 3 for Mechanical Engineering 2023 is part of GATE Mechanical (ME) 2024 Mock Test Series preparation. The Practice Test: Mechanical Engineering (ME)- 3 questions and answers have been
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Practice Test: Mechanical Engineering (ME)- 3 - Question 1
Choose the word or phrase which is nearest in meaning to the key word Lethargy
Practice Test: Mechanical Engineering (ME)- 3 - Question 2
The following question comprise two words that have a certain relationship between them followed by four pairs of words. Select the pair that has same relationship as the original pair of words.
Break : Piece
Practice Test: Mechanical Engineering (ME)- 3 - Question 3
Replace the phrase printed in bold to make it grammatically correct ?
"Even though many companies" are now penetrating rural India, it would help to give India a real chance of witnessing a double digit GDP growth.
"Even though many companies" are now penetrating rural India, it would help to give India a real chance of witnessing a double digit GDP growth.
Practice Test: Mechanical Engineering (ME)- 3 - Question 4
Which one of the following represents open thermodynamic system?
Practice Test: Mechanical Engineering (ME)- 3 - Question 5
What is the deformation or dynamic factor if sum of errors on meshing teeth of steel pinion and gear is 32 x 10-3 mm?
Detailed Solution for Practice Test: Mechanical Engineering (ME)- 3 - Question 5
Practice Test: Mechanical Engineering (ME)- 3 - Question 6
Chirag decided to give 12% of his salary to his younger brother as a pocket money. But he gave 1260 Rs which was 60% of what he had decided earlier. How much is Chirag’s salary?
Detailed Solution for Practice Test: Mechanical Engineering (ME)- 3 - Question 6
Practice Test: Mechanical Engineering (ME)- 3 - Question 7
Two pipes can fill a tank in 15 minutes and 25 minutes respectively. Both the pipes are opened together and after some time, the first pipe is closed and the tank is completely full in 15 minutes. For how many minutes is the first pipe opened?
Detailed Solution for Practice Test: Mechanical Engineering (ME)- 3 - Question 7
Practice Test: Mechanical Engineering (ME)- 3 - Question 8
A and B are required to solve a problem independently. If 1/2 and 1/3 are their respectively probabilities of solving the problem, then the probability that atleast one of them solves the problem.
Detailed Solution for Practice Test: Mechanical Engineering (ME)- 3 - Question 8
Practice Test: Mechanical Engineering (ME)- 3 - Question 9
What is the probability that a leap year has 53 Sundays and 52 Mondays?
Detailed Solution for Practice Test: Mechanical Engineering (ME)- 3 - Question 9
Practice Test: Mechanical Engineering (ME)- 3 - Question 10
A certain sum of money is invested for one year at a certain rate of simple interest. If the rate of interest is 3% higher, then the interest earned will be 25% more than the interest earned earlier. What is the earlier rate of interest ?
Detailed Solution for Practice Test: Mechanical Engineering (ME)- 3 - Question 10
is
Practice Test: Mechanical Engineering (ME)- 3 - Question 12
Suppose f(x) = 
If 
f(x) = f(1), the possible values of a and b are
If f(x) = f(1), the possible values of a and b are
Practice Test: Mechanical Engineering (ME)- 3 - Question 13
On her vacations, Katrina visits four cities (A, B, C and D) in a random order. The probability that she visits A either first or second place is
Detailed Solution for Practice Test: Mechanical Engineering (ME)- 3 - Question 14
has
Practice Test: Mechanical Engineering (ME)- 3 - Question 16
A work piece of 150 cm length and 40 cm width is machined by planning operation with a feed of 0.3 mm/stroke. The machine tool executes 10 double strokes/min. The planning time (in min) for a single pass is
Detailed Solution for Practice Test: Mechanical Engineering (ME)- 3 - Question 16
Practice Test: Mechanical Engineering (ME)- 3 - Question 17
Which one of the following is the correct relationship between the boundary layer thickness d, displacement thickness 
and the momentum thickness q?
and the momentum thickness q?
Detailed Solution for Practice Test: Mechanical Engineering (ME)- 3 - Question 17
Practice Test: Mechanical Engineering (ME)- 3 - Question 18
Using Johnsons' rule, find the optimal sequence
Detailed Solution for Practice Test: Mechanical Engineering (ME)- 3 - Question 18
Practice Test: Mechanical Engineering (ME)- 3 - Question 19
The maximum interference in mm after assembly between a bush of size 30+0.06+0.03 and a shaft of size 30+0.04+0.02 is
Detailed Solution for Practice Test: Mechanical Engineering (ME)- 3 - Question 19
Practice Test: Mechanical Engineering (ME)- 3 - Question 20
In a gas turbine operating on Brayton cycle with intercooling
1. Efficiency of cycle increases
2. Work ratio increases
3. Compressor work decreases
Which of the above statements are true
1. Efficiency of cycle increases
2. Work ratio increases
3. Compressor work decreases
Which of the above statements are true
Practice Test: Mechanical Engineering (ME)- 3 - Question 21
A glass plate at 
is heated by passing hot air over it with a convection co-efficient of 18 
K. If the temperature change over the thickness is not to exceed 
to avoid damage, the maximum allowable temperature 
of the air will be. (Thermal conductivity of the plate matrial is 1.9 W/mK.). Thickness of plate is 1 mm.
Detailed Solution for Practice Test: Mechanical Engineering (ME)- 3 - Question 21
Detailed Solution for Practice Test: Mechanical Engineering (ME)- 3 - Question 22
Practice Test: Mechanical Engineering (ME)- 3 - Question 23
A single radial ball bearing of base diameter of 55 mm and subject to a radial load of 22 kN. The shaft rotates at 600 rpm. assume f = 0.0015 The frictional torque in N.m. is
Detailed Solution for Practice Test: Mechanical Engineering (ME)- 3 - Question 23
Practice Test: Mechanical Engineering (ME)- 3 - Question 24
During a non-flow isothermal reversible expansion, 1 kmol of 
at 350 k expands from 0.06 
to 0.15 
Use Vander waals equation to determine 
Final pressure of gas
at 350 k expands from 0.06 to 0.15 Use Vander waals equation to determine Final pressure of gas
Practice Test: Mechanical Engineering (ME)- 3 - Question 25
During a non-flow isothermal reversible expansion, 1 kmol of 
at 350 k expands from 0.06 
to 0.15 
.Use Vander waals equation to determine 
Work done during process
at 350 k expands from 0.06 to 0.15 .Use Vander waals equation to determine Work done during process
Detailed Solution for Practice Test: Mechanical Engineering (ME)- 3 - Question 25
Practice Test: Mechanical Engineering (ME)- 3 - Question 26
Equation of motion for single degree of freedom system is 
Where x is displacement from mean position. Which of following is true
Where x is displacement from mean position. Which of following is true
Detailed Solution for Practice Test: Mechanical Engineering (ME)- 3 - Question 26
Practice Test: Mechanical Engineering (ME)- 3 - Question 27
In a pure rolling the draft is increased by 100% and diameter of the roll is also increased by 100%. The bite will increase by
Detailed Solution for Practice Test: Mechanical Engineering (ME)- 3 - Question 27
Practice Test: Mechanical Engineering (ME)- 3 - Question 28
Rod of length l slides down along the inclined wall as shown. At the instant shown, the speed of end A is v, then the speed of B will be:-
Detailed Solution for Practice Test: Mechanical Engineering (ME)- 3 - Question 28
Subject to
Detailed Solution for Practice Test: Mechanical Engineering (ME)- 3 - Question 29
Practice Test: Mechanical Engineering (ME)- 3 - Question 30
The mechanical efficiency of a single cylinder four stroke engine is 80%. If the break power is estimated to 100 KW, the frictional power will be
Detailed Solution for Practice Test: Mechanical Engineering (ME)- 3 - Question 30
Practice Test: Mechanical Engineering (ME)- 3 - Question 31
Which of the following statement is incorrect
Practice Test: Mechanical Engineering (ME)- 3 - Question 32
Two masses of 10 kg and 20 kg respectively are connected by massless spring as shown. A force of 200 N acts on the 20 kg mass. At the instant when 10 kg mass has an acceleration of 12 
,the acceleration of 20 kg mass is.
,the acceleration of 20 kg mass is.
Detailed Solution for Practice Test: Mechanical Engineering (ME)- 3 - Question 32
Practice Test: Mechanical Engineering (ME)- 3 - Question 33
A beam carrying a uniformly distribute load rests on two supports ‘b’ apart with equal overhangs ‘a’ at each end. The ratio b/a for zero bending moment at midspan is.
Detailed Solution for Practice Test: Mechanical Engineering (ME)- 3 - Question 33
Practice Test: Mechanical Engineering (ME)- 3 - Question 35
X is a continuous random variable with probability density function given by
The value of K is
The value of K is
Detailed Solution for Practice Test: Mechanical Engineering (ME)- 3 - Question 35
Practice Test: Mechanical Engineering (ME)- 3 - Question 36
The coefficient of 
in the Taylor series expansion of sinx
in the Taylor series expansion of sinx
Detailed Solution for Practice Test: Mechanical Engineering (ME)- 3 - Question 36
Practice Test: Mechanical Engineering (ME)- 3 - Question 37
A random variable X has the following probability distribution
The expected value of (x – 1) is
The expected value of (x – 1) is
Detailed Solution for Practice Test: Mechanical Engineering (ME)- 3 - Question 37
Practice Test: Mechanical Engineering (ME)- 3 - Question 38
The divergence of the field 
at (1, 2, 1) is
at (1, 2, 1) is
Detailed Solution for Practice Test: Mechanical Engineering (ME)- 3 - Question 38
Practice Test: Mechanical Engineering (ME)- 3 - Question 39
Sub-cooling heat exchanger is used in a refrigeration cycle, enthalpy at the condenser outlet and evaporator outlet are 90 kJ/kg and 200 kJ/kg. Enthalpy at outlet of isentropic compression is 250 kJ/kg and enthalpy of sub-cooled liquid is 80 kJ/kg COP of cycle is.
Detailed Solution for Practice Test: Mechanical Engineering (ME)- 3 - Question 39
Practice Test: Mechanical Engineering (ME)- 3 - Question 40
Consider a PERT network for a project involving six tasks (a to f)
The standard deviation of the critical path of the project is
The standard deviation of the critical path of the project is
Detailed Solution for Practice Test: Mechanical Engineering (ME)- 3 - Question 40
Practice Test: Mechanical Engineering (ME)- 3 - Question 41
A cylinder of diameter 100 mm and height 50 mm is melted and cast into a sphere of uniform density. If the melting time takes 1 min., diameter of sprue base is 5 mm and height of pouring basin is 20 mm, solidification factor is 
the total time for conversion of solid cylinder to solid sphere will be [Neglect any time losses]
the total time for conversion of solid cylinder to solid sphere will be [Neglect any time losses]
Detailed Solution for Practice Test: Mechanical Engineering (ME)- 3 - Question 41
Practice Test: Mechanical Engineering (ME)- 3 - Question 42
Ice kept in a wall insulated thermo-flask is an example of which system?
Practice Test: Mechanical Engineering (ME)- 3 - Question 43
A solid receives heat by radiation over its surface at 4kW and the heat convection rate over the surface of the solid to the surrounding is 5.2 kW, and heat is generated at a rate of 1.7 kW over the volume of the solid. The heat capacity 
of the solid if the time rate of change of the average temperature of the solid at 
Will be
of the solid if the time rate of change of the average temperature of the solid at Will be
Detailed Solution for Practice Test: Mechanical Engineering (ME)- 3 - Question 43
Practice Test: Mechanical Engineering (ME)- 3 - Question 44
During a steady state gas metal are welding with direct current electrode positive,the welding current voltage and welding speed are 150 A, 30 V, 6 m/min. A metallic wire electrode of diameter 1.2 mm is being fed at a constant rate of 12m/min. The density , specific heat and melting temperature of the wire electrode are 7000 kg/m3 , 500 J/kg, 1530ºC. Assuming ambient to be 30º and neglect latent heat of melting, further consider that 2/3 of the total electrical power is available for melting. The melting efficiency of wire electrode [%] is:
Detailed Solution for Practice Test: Mechanical Engineering (ME)- 3 - Question 44
Practice Test: Mechanical Engineering (ME)- 3 - Question 45
A prismatic bar AB of solid circular cross-section (diameter-d) is loaded by a distributed torque. The intensity of the torque, that is, the torque per unit distance, is denoted by t(x) and varies linearly from maximum value 
at end A to zero at end B. Also the length of bar is L and shear modulus of elasticity of material is G.
What is the maximum shear stress
in the bar?
at end A to zero at end B. Also the length of bar is L and shear modulus of elasticity of material is G.What is the maximum shear stress
in the bar?
Detailed Solution for Practice Test: Mechanical Engineering (ME)- 3 - Question 45
Practice Test: Mechanical Engineering (ME)- 3 - Question 46
By application of tensile force, the cross-sectional area of bar ‘P’ is first reduced by 30% and then by additional 25%. Another bar ‘Q’ of the same material is reduced in cross sectional area by 50% in single step by applying tensile force. After deformation, the ratio of true strain in the bar ‘P’ to bar ‘Q’ will be
Detailed Solution for Practice Test: Mechanical Engineering (ME)- 3 - Question 46
Practice Test: Mechanical Engineering (ME)- 3 - Question 47
A roller follower moves with cycloidal motion during out stroke and return stroke with the following details:
-Outstroke with maximum displacement of 44 mm during
of cam rotation
-Return stroke for next
of cam rotation, and
-Dwell for the remaining
of cam rotation
The maximum velocity and maximum acceleration during return stroke, if the cam rotates uniformly at 500 rpm is
-Outstroke with maximum displacement of 44 mm during
of cam rotation-Return stroke for next
of cam rotation, and-Dwell for the remaining
of cam rotationThe maximum velocity and maximum acceleration during return stroke, if the cam rotates uniformly at 500 rpm is
Detailed Solution for Practice Test: Mechanical Engineering (ME)- 3 - Question 47
Practice Test: Mechanical Engineering (ME)- 3 - Question 48
For a riser 
,it is used to feed a casting 20 c.m. × 20 c.m. × 10 c.m. Volume shrinkage on solidification is 3% for steel and that the volume of riser is 3 times that directed by shrinkage considerations alone is:
,it is used to feed a casting 20 c.m. × 20 c.m. × 10 c.m. Volume shrinkage on solidification is 3% for steel and that the volume of riser is 3 times that directed by shrinkage considerations alone is:
Detailed Solution for Practice Test: Mechanical Engineering (ME)- 3 - Question 48
Practice Test: Mechanical Engineering (ME)- 3 - Question 49
The bending moment at the mid span location X-X in the beam with overhangs shown below is equal to
Detailed Solution for Practice Test: Mechanical Engineering (ME)- 3 - Question 49
Practice Test: Mechanical Engineering (ME)- 3 - Question 50
Air at 1 bar and at temperature of 
u = 0.06717 kg/ms flows at a speed of 1.2m/s over a flat plate. Assume the parabolic velocity distribution as : 
.The mass flow rate (kg/hr) between the distance of 250 mm and 500 mm from the leading edge of the plate is
u = 0.06717 kg/ms flows at a speed of 1.2m/s over a flat plate. Assume the parabolic velocity distribution as : .The mass flow rate (kg/hr) between the distance of 250 mm and 500 mm from the leading edge of the plate is
Detailed Solution for Practice Test: Mechanical Engineering (ME)- 3 - Question 50
Practice Test: Mechanical Engineering (ME)- 3 - Question 51
For a steel cube shown in the figure, the net volume change after loading is found to be zero. The magnitude of s will be? (Given
0.5)
Detailed Solution for Practice Test: Mechanical Engineering (ME)- 3 - Question 51
Practice Test: Mechanical Engineering (ME)- 3 - Question 52
In an orthogonal metal cutting operation, rake angle is 
uncut chip thickness is 0.127 mm, chip thickness is 0.228 mm. The value of friction coefficient is.
uncut chip thickness is 0.127 mm, chip thickness is 0.228 mm. The value of friction coefficient is.
Detailed Solution for Practice Test: Mechanical Engineering (ME)- 3 - Question 52
Practice Test: Mechanical Engineering (ME)- 3 - Question 53
For the loading of truss as shown, the force in the member CD is
Detailed Solution for Practice Test: Mechanical Engineering (ME)- 3 - Question 53
Practice Test: Mechanical Engineering (ME)- 3 - Question 54
An air compressor takes in air at 1 atm & 
& discharges into a line having inside diameter of 10 mm. Average air velocity in the line of a point close to discharge is 7.5 m/s & discharge pressure is 3 atm. Assuming that compression quasistatic & adiabatic, calculate compression work. Assume that inlet air velocity is very small.(r = 1.4, R = 287 J/kgk 
= 1004 J/kgk)
& discharges into a line having inside diameter of 10 mm. Average air velocity in the line of a point close to discharge is 7.5 m/s & discharge pressure is 3 atm. Assuming that compression quasistatic & adiabatic, calculate compression work. Assume that inlet air velocity is very small.(r = 1.4, R = 287 J/kgk = 1004 J/kgk)
Detailed Solution for Practice Test: Mechanical Engineering (ME)- 3 - Question 54
w = 173.2 watt
Practice Test: Mechanical Engineering (ME)- 3 - Question 55
Rotor has mass 10 kg and is mounted on a 10 mm diameter shaft with short leaving at ends 1 m apart. Shaft rotates at 1500 rpm with rotor having eccentricity of 0.1 mm. Find the deflection produced due to centrifugal force (E = 200 GPa):
Detailed Solution for Practice Test: Mechanical Engineering (ME)- 3 - Question 55
Practice Test: Mechanical Engineering (ME)- 3 - Question 56
A Flat smooth rectangular plate is placed edgewise in a stream of fluid. At what fraction of the length from the leading edge would the drag force on the front portion be equal to the half of the total drag force? Assume the boundary layer to be laminar.
Detailed Solution for Practice Test: Mechanical Engineering (ME)- 3 - Question 56
Practice Test: Mechanical Engineering (ME)- 3 - Question 57
A doubled thread worm, drives a worm wheel of 30 teeth. The worm has a pressure angle of 
a pitch of 19 mm and a pitch circle diameter of 50 mm. If the worm rotates at 1000 rpm, for m= 0.05.
The helix angle of the worm
a pitch of 19 mm and a pitch circle diameter of 50 mm. If the worm rotates at 1000 rpm, for m= 0.05.The helix angle of the worm
Detailed Solution for Practice Test: Mechanical Engineering (ME)- 3 - Question 57
Practice Test: Mechanical Engineering (ME)- 3 - Question 58
A doubled thread worm, drives a worm wheel of 30 teeth. The worm has a pressure angle of 
a pitch of 19 mm and a pitch circle diameter of 50 mm. If the worm rotates at 1000 rpm, for m= 0.05
The efficiency of the drive
a pitch of 19 mm and a pitch circle diameter of 50 mm. If the worm rotates at 1000 rpm, for m= 0.05The efficiency of the drive
Detailed Solution for Practice Test: Mechanical Engineering (ME)- 3 - Question 58
Practice Test: Mechanical Engineering (ME)- 3 - Question 59
In an assembly line for assembling toys, five workers are assigned tasks which take times of 10, 9, 7, 9 and 8 minutes. The balance delay (%) for the line is
Detailed Solution for Practice Test: Mechanical Engineering (ME)- 3 - Question 59
Practice Test: Mechanical Engineering (ME)- 3 - Question 60
Cup of 10 c.m. height and 5 c.m. diameter is to be made from a sheet metal of 2 mm thickness. The number of deductions necessary will be (Limiting Draw Ratio = 1.9)
Detailed Solution for Practice Test: Mechanical Engineering (ME)- 3 - Question 60
= 15 c.m.
Practice Test: Mechanical Engineering (ME)- 3 - Question 61
A counter flow double pipe heat exchanger using super heated steam is used to heat water at the rate of 10500 kg/h. The steam enters the heat exchanger at 
and leaves at 
.The inlet and exit temperature of water are 
and 
respectively. If overall heat transfer coefficient from steam to water is 814 
and the fluid flow changes to parallel. The increase in area is.
and leaves at .The inlet and exit temperature of water are and respectively. If overall heat transfer coefficient from steam to water is 814 and the fluid flow changes to parallel. The increase in area is.
Detailed Solution for Practice Test: Mechanical Engineering (ME)- 3 - Question 61
Practice Test: Mechanical Engineering (ME)- 3 - Question 62
A gas turbine plant operates on Brayton cycle between 
and 
.Pressure ratio of the cycle is 5. The work ratio of the cycle will be [use 
= 1.4]
and .Pressure ratio of the cycle is 5. The work ratio of the cycle will be [use = 1.4]
Detailed Solution for Practice Test: Mechanical Engineering (ME)- 3 - Question 62
Practice Test: Mechanical Engineering (ME)- 3 - Question 63
An irrotational two-dimensional flow leaves a straight duct and enters a bend of the same width, in the horizontal plane. Find the velocity difference at the inner and outer wall of the bend.
Detailed Solution for Practice Test: Mechanical Engineering (ME)- 3 - Question 63
Practice Test: Mechanical Engineering (ME)- 3 - Question 64
An air & water mixture having an enthalpy of 125 kJ/kg enters a dehumidifier at rate of 350 kg/h. Water with enthalpy of 42 kJ/kg drains out of dehumidifier at rate of 7.5 kg/h. Air and water vapour mixture leaves the dehumidifier with enthalpy of 47 kJ/kg. Calculate the heat removed in MJ/kg
Detailed Solution for Practice Test: Mechanical Engineering (ME)- 3 - Question 64
Practice Test: Mechanical Engineering (ME)- 3 - Question 65
Find the blanking force required to punch 10 mm diameter holes in a steel sheet of 3 mm thickness. Given shear strength of material = 400 MPa, penetration = 40% and shear provided on the punch = 2 mm.
Detailed Solution for Practice Test: Mechanical Engineering (ME)- 3 - Question 65
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