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SCORE CARD TIME MANAGEMENT QUESTIONS REPORT SOLUTION

Solution Report For ME-DEMORepresent whole test solution with correct and incorrect answers.

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Q.

No

Question Status

Q.1

Not Attempt Correct Ans. b Solution

The average age of 8 men is increased by 2 years when two of them,

whose ages are 20 years and 24 years respectively, are replaced by two

women. What is the average age of these women?

a. 36 years

b. 30 years

c. 40 years

d. 42 years

Q.2

Not Attempt Correct Ans. a Solution

Spot the error in the givensentence and mark accordingly.

a. a

b. b

c. c

d. d

Q.3 The wrong number in the series is

11, 5, 20, 12, 40, 26, 74, 54

REPORTS

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Not Attempt Correct Ans. c Solution

a. 5

b. 20

c. 40

d. 26

Q.4


Which of the following sentence is grammatically INCORRECT?

a. We have a holiday at Diwali and at the New Year.

b. I hope for a pleasant experience.

c. The regulations apply for all office workers.

d. The teacher insists on accuracy in our work.

Q.5

Not Attempt Correct Ans. 4 Solution

A man can row at a speed of 4.5 km/hr in still water to a certain upstream

point and back to the starting point in a river which flows at 1.5 km/hr. His

average speed (in km/hr) for total journey is ________.

Q.6


The value of k for which the equation 3x2 + 2x (2k2 + 5) + (k2 3k + 2) = 0

has roots of opposite signs lies in the interval.

a. ( , 0)

b. ( , 1)

c. (1, 2)

d.

Q.7

a.

b.
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c.

d.

Q.8


The probability that January of a leap year should have 5 Sundays is

a. 17

b. 27

c. 37

d. 67

Q.9

Not Attempt Correct Ans. d Solution

A third form of verbalization is exploratory talking. This is talking fortalkings sake, aesthetic talking, or, if you like, play talking. Just as that

other form of information-transmission, picturemaking, became used as a

medium for aesthetic expression, so did talking. The poet paralleled the

painter. Which of the following is a valid inference from the given

paragraph?

a. The poet and the painter work towards disparate goals.

b. Picture-making was used as a medium for information retrieval.

c. Exploratory talking was more expansive than picture-making.

d. Both picture-making and exploratory talking had the same purpose.

Q.10


A polygon has 44 diagonals, then the number of its side are ________

Q.11Maximum fluctuation of rotational kinetic energy in an engine has beencalculated as 2600 J. Assuming that the engine runs at an average speed

of 200 rpm, the mass moment of inertia (in kgm2) of a flywheel to keep the

speed fluctuation within 0.5% of the average speed is

a. 296.665

b. 1186.66

c. 592.95

d. 148.33


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Attempt Correct Correct Ans. c Solution

Q.12

Attempt Correct Correct Ans. b Solution

A block of mass 5 kg moving at 10 m/s collides with another block of mass

10 kg at rest. The lighter block comes to rest after collision. The coefficient

of restitution will be

a. 0.2

b. 0.5

c. 0.8

d. 1

Q.13


If three cycles are coupled in series where heat lost by one is absorbed by

the other, and their efficiencies are 0.5, 0.4 and 0.3. The overall efficiency

will be _________.

a. 0.8

b. 0.79

c. 0.88

d. 0.75

Q.14

Attempt Correct Correct Ans. a Solution

At the triple point of a pure substance, the number of degrees of freedom is

a. 0

b. 1

c. 2

d. 3

Q.15 Match List-I (Structure) with List-II (Atomic Packing Factor) and select the

correct answer using the codes given below the lists:

a. 2 3 1 4

b. 2 3 1 1


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c. 1 4 2 3

d. 2 3 4 4

Q.16 A cantilever beam is subjected to a UDL. The cross-section of the beam is

a H-section placed as shown in figure.

The bending stress distribution across the cross section will be

a.

b.

c.

d.
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Q.17

Attempt Correct Correct Ans. d Solution

For the shaft as shown in figure. Determine the angle of twist at the free

end, if angle of twist at B

is .

a. zero

b. /4

c. /2

d.

Q.18

Attempt Incorrect Your Ans. a Correct Ans. b Solution

Consider the following activity of the network

The independant float is given by

a.

b.

c.

d.

Q.19
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a. 0.001

b. 0.015

c. 0

d. 0.03

Q.24

Attempt Correct Correct Ans. a Solution

Find the order (if defined) of the following differential equation

a. 1

b. 2

c. 3d. Not defined

Q.25


Let A be a 3 3 matrix with rank 2. Then AX = 0 has

a. only the trival solution X = 0

b. one independent solution

c. two independent solutions

d. three independent solutions

Q.26


Consider the following mechanism. The degree of freedom of the

mechanism will be _______

Q.27 An air standard Brayton cycle operating between the maximum

temperature of 1500 K and minimum temperature of 300 K with a pressure


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Not Attempt Correct Ans. 280.596 (275-285) Solution

ratio of 10. What will be the work required in compressor

Q.28


The state of stress in an element as shown below. The von-mises stress is_____ __ MPa.

Q.29


Q.30

Not Attempt Correct Ans. 0.7 (0.69-0.71) Solution

If the ratio of the diameter of rivet hole to the pitch of rivets is 0.30, then the

tearing efficiency of the joint is ________.

Q.31


An oil of relative density 0.8 flow at a rate of 10 L/s through a horizontal pipe

of 8 cm diameter. The pressure drop over a length of 300 m of pipe is found

to be 40 N/cm2. The dynamic viscosity of oil (in Pa-s) will be __________.

[Assume the flow to be laminar].

Q.32 In a machining operation, chip thickness ratio is 0.3 and the rake angle of

tool is 10. The shear strain will be
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Q.33

Not Attempt Correct Ans. 0.07(0.069-0.071) Solution

If the Taylors tool life exponent n is 0.3 and the tool changing time is 1.8

min. The tool life (in hours) for maximum production rate is _________.

Q.34


Consider the following matrix:

The rank of the given matrix is _______.

Q.35


Q.36


A slider crank mechanism with crank radius 50 mm and connecting rod

length 200 mm is shown below. The crank is rotating with a uniform angular

speed of 15 rad/s, counter clockwise. The speed of slider for the given

configuration will be

a. 0.77163

b. 0.67163

c. 0.56716

d. 0.74153

Q.37 The percentage change in natural frequency of free torsional vibrations
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when the Inertia of the shaft is also taken into account is [Assuming

moment of inertia of shaft to be one-third of disc and other conditions

remaining same]

a. +5.131%

b. 5.131%

c. 10.21%

d. +10.26%

Q.38


A cantilever truss is loaded as shown in figure. The value of W, that would

produce the force of magnitude 24 tonnes in member AB is

a. 24 tonnes

b. 16 tonnes

c. 8 tonnes

d. 4 tonnes

Q.39 Refrigerant 134-a is to be compressed from 0.14 MPa and 10C to 0.8

MPa and 50C steadly by a compressor. Environment temperature and

pressure are 27C and 100 kPa respectively. Minimum work input needs to

be supplied to the compressor per unit mass of refrigerant in kJ is

The properties of the refrigerant of the inlet and exit states are:

a. 40.33 kJ/kg
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b. 403.3 kJ/kg

c. 2.34 kJ/kg

d. 37.99 kJ/kg

Q.40


A diesel cycle has a compression ratio of 15 and cut off ratio of 2. The

compression process begins at 27C and 1 bar. The heat source and sink

temperature are 2500 K and 300 K respectively. Evaluate the MEP (Mean

Effective Pressure) of the cycle.

a. 0.669 bar

b. 6.69 bar

c. 6.69 kPa

d. 6.69 MPa

Q.41


Heat is lost through a plane wall steadily at a rate of 600 W. If the inner and

outer surface temperature of the wall are 20C and 5C respectively, the

rate of entropy generation within the wall is

a. 0.11 W/K

b. 1.11 W/K

c. 0.23 W/K

d. 2.32 W/K

Q.42


A short column of external diameter D and internal diameter d is subjected

to a compressive load P acting with an eccentricity e. If the stresses at

one of the extreme fibre is zero then the eccentricity has to be

a.

b.

c.

d.

Q.43


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For the beam shown in the figure, the maximum positive bending moment

is equal to the maximum negative bending moment. The value of L1is

a.

b.

c.

d.

Q.44


A company plans to consume 760 pieces of a particular component. Past

records indicate that purchasing department had used Rs. 12000 for

placing 15000 orders. The average inventory was valued at Rs. 45000 and

total storage cost is Rs. 7650. If the price of a component is Rs. 12 and the

order size is of 10 components. Determine total cost per year.

a. Rs. 7857

b. Rs. 10527

c. Rs. 8567

d. Rs. 9191

Q.45 For a maximization problem, after some simplex iteration the following

table is obtained

From this, one can conclude that

a. The LPP has a unique optimal solution


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b. The LPP is infeasible

c. The LPP is unbounded

d. The LPP has multiple optimal solution

Q.46


A hollow cylinder of a material that has a thermal conductivity of 3.46 W/m

C has an inner radius of 7.5 cm and an outer radius of 15 cm. The

temperature on the inner surface is 150C and the temperature profile is

given by

Where r is in cm. What is the heat transfer rate per unit length?

a. 1.586 kW

b. 1.956 kWc. 2.456 kW

d. 4.69 kW

Q.47


A refrigerator based on ideal vapour compression cycle operates between

the temperature limits of 30C and 25C. The refrigerant enters the

condenser as saturated vapour and leaves as saturated liquid. The

enthalpy and entropy values for saturated liquid and vapour at thesetemperatures are given in the table below:

The COP of the refrigerator is

a. 2.5

b. 1.5

c. 2

d. 3

Q.48 Determine the maximum and minimum pressure respectively in a plate

clutch when the axial force is 3 kN. The inside radius of contact surface is

100 mm and outside radius is 150 mm. Assume uniform wear


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a. 0.0955 MPa and 0.0636 MPa

b. 0.955 MPa and 0.636 MPa

c. 1.234 MPa and 1.013 MPa

d. 9.55 MPa and 6.36 MPa

Q.49


a. 11.94 kg

b. 23.88 kg

c. 47.76 kg

d. 95.52 kg

Q.50


a. 6.57 mm

b. 6.57 cm

c. 13.14 mm

d. 13.14 cm


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Q.51


The following data from the orthogonal cutting test is available.

Rake angle = 12

Chip-thickness = 0.3 mm

Uncutt-chip thickness = 0.13 mm

The cutting force = 570 N

Thrust force = 230 N

The shear force will be

a. 41.97 N

b. 419.71 N

c. 32 N

d. 320 N

Q.52


In a single pass drilling operation, a through hole of 15 mm diameter is to bedrilled in a steel plate of 50 mm thickness. Drill spindle speed is 500 rpm,

feed is 0.2 mm/rev and drill point angle is 118. Assuming 2 mm clearance

at approach and exit each the total drill time (in min) is

a. 0.52 min

b. 0.545 min

c. 35.1 min

d. 0.585 min

Q.53 In an arc welding, the voltage and current are 30 V and 500 A respectively.

The arc heat transfer efficiency is 0.85 and welding speed is 10 mm/s. The

Net heat input (in J/mm) is

a. 1270

b. 1275

c. 12750

d. 1500


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Q.54


Consider the differential equation,

Its complementary function is

a.

b.

c.

d.

Q.55


If A is matrix such that A2 + A + 2I = O, then which of the following is

INCORRECT?

(Where I is unit matrix of order 2 and O is null matrix of order 2 )

a. A is non-singular

b. A O

c.

d. None of these

Q.56


A mass of 2.5 kg is hung from a spring of stiffness 3 kN/m. The vibration is

controlled by a dashpot. It is found that amplitude of the vibrations

diminishes to one-fourth of its initial value in five complete oscillations. The

damping constant of dashpot, assuming linear damping is _____N/m/s.


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Q.57


A person having mass 50 kg is managing to be at rest between two vertical

walls by pressing one wall A by his hands and feet and the other wall B

by his back. Assume friction coefficient between his body and the walls is

0.8 and that limiting friction acts act all contacts. The normal force exerted

by either wall on person is _______. [Take g = 10 ms2).

Q.58


1000 kJ of heat is transferred from a heat reservoir at 1000 K to a heat

reservoir at 500 K. The ambient temperature is 300 K. The irreversibility

due to heat transfer process in kJ is ________.

Q.59

Not Attempt Correct Ans. 43.30 (43-43.6) Solution

A prismatic bar having a cross-section area of 100 mm 2 is subjected to an

axial tensile load of 10 kN. Determine the shear stress developed on a

oblique plane which is inclined at an angle of 30 to the longitudinal axis of

the bar (in MPa).

Q.60 A small project consist of seven activities for which the relevant data are

given below:

What is the project completion time _______days.


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Q.61

Not Attempt Correct Ans. 8000 (7975-8025) Solution

What will be the expected life (in hours) of a ball bearing for a load of 5000 N

running at 1000 rpm in hours if expected life of same ball bearing is 2000

hours when running at a load of 10000 N at 500 rpm _______.

Q.62


The area of cross-section of a large tank is 0.5 m 2. It has an opening near

the bottom having area of cross-section 1 cm2. A load of 20 kg is applied

as shown in the figure on the water at top and pressure at top is

atmospheric. The velocity of water coming out of the opening at the time

when the height of water level is 50 cm above the bottom is ________ m/s.

[Take g = 10 ms2]

Q.63

Not Attempt Correct Ans. 50 (49-51) Solution

A rectangular hole of size (2h h) is to be made on a 5 mm thick sheet of

steel having ultimate tensile strength and shear strength of 500 MPa and

300 MPa respectively. The hole is made by punching. Neglecting clearance

effects, the punching force comes out to be 450 kN. Then h is _____ (in

mm)

Q.64


Q.65


A fair coin is tossed three times in succession. If the first toss produces a

head, then the probability of getting exactly two heads in three tosses is

_____ ______.
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