Mechanical Engineering > Practice Test: Mechanical Engineering (ME)- 3

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Practice Test: Mechanical Engineering (ME)- 3 - Question 1

Practice Test: Mechanical Engineering (ME)- 3 - Question 2

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.

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.

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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

Practice Test: Mechanical Engineering (ME)- 3 - Question 12

Suppose f(x) = 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

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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?

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

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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.

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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

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

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

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

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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

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.

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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.

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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

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

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]

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

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/m^{3} , 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?

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 rotation

The 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:

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

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)

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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.

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Practice Test: Mechanical Engineering (ME)- 3 - Question 53

For the loading of truss as shown, the force in the member CD is

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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)

Detailed Solution for Practice Test: Mechanical Engineering (ME)- 3 - Question 54

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

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

The 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

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.

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]

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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