End Test Now

Which one of the following is NOT a decision taken during the aggregate production planning stage?

Scheduling of machines

Amount of labour to be committed

Rate at which production should happen

Inventory to be carried forward

A CNC vertical milling machine has to cut a straight slot of 10mm width and 2mm depth by a cutter of 10mm diameter between points (0,0) and (100,100) on the XY plane (dimensions in mm). The feed rate used for milling is 50mm/min. Milling time for the slot (in seconds) is

120

170

180

240

A solid cylinder of diameter 100mm and height 50mm is forged between two frictionless flat dies to a height of 25mm. The percentage change in diameter is

0

2.07

20.7

41.4

The velocity triangles at the inlet and exit of the rotor of a turbo machine are shown. V denotes the absolute velocity of the fluid, W denotes the relative velocity of the fluid, and U denotes the blade velocity. Subscripts 1 and 2 refer to inlet and outlet respectively. If , then the degree of reaction is

1

0.5

0.25

Which one of the following configurations has the highest fin effectiveness?

Thin, closely spaced fins

Thin, widely spaced fins

Thick widely spaced fins

Thick, closely spaced fins

An ideal gas of mass m and temperature undergoes a reversible isothermal process from an initial pressure to a final pressure . The heat loss during the process is Q. The entropy change of the gas is

In the mechanism given below, if the angular velocity of the eccentric circular disc is 1rad/s, the angular velocity (rad/s) of the follower link for the instant shown in the figure is

0.05

0.1

5.0

10.0

A circular solid disc of uniform thickness 20mm, radius 200mm and mass 20kg, is used as a flywheel. If it rotates at 600rpm, the kinetic energy of the flywheel, in Joules is

395

790

1580

3160

A cantilever beam of length L is subjected to a moment M at the free end. The moment of inertia of the beam cross section about the neutral axis is I and the Young modulus is E. The magnitude of the maximum deflection is

For a long slender column of uniform cross section, the ratio of critical buckling load for the case with both ends clamped to the case with both ends hinged is

2

4

8

At x=0, the function f (x) = + 1 has

A maximum value

A minimum value

A singularity

A point of inflection

For the spherical surface, the unit outward normal vector at the point is given by

Match the following metal forming processes with their associated stresses in the workpiece.

P-4, Q-1, R-2, S-3

P-4, Q-1, R-3, S-2

P-1, Q-2, R-4, S-3

P-1, Q-3, R-2, S-4

In abrasive jet machining, as the distance between the nozzle tip and the work surface increases, the material removal rate

Increases continuously

Decreases continuously

Decreases, becomes stable and then increases

Increases, becomes stable and then decreases

In an interchangeable assembly, shafts of size mm mate with holes of size mm. The maximum interference (in microns) in the assembly is

40

30

20

10

During normalizing process of steel, the specimen is heated

Between the upper and lower critical temperature and cooled in still air

Above the upper critical temperature and cooled in furnace

Above the upper critical temperature and cooled in still air

Between the upper and lower critical temperature and cooled in furnace

Oil flows through a 200mm diameter horizontal cast iron pipe (friction factor, f=0.0225) of length 500m. The volumetric flow rate is . The head loss (in m) due to friction is ( assume g=9.81m/ )

116.18

0.116

18.22

232.36

For an opaque surface, the absorptivity , transitivity and reflectivity are related by the equation

Steam enters an adiabatic turbine operating at steady state with an enthalpy of 3251.0kJ/kg and leaves as a saturated mixture at 15kPa with quality (dryness fraction) 0.9. The enthalpies of the saturated liquid and vapour at 15kPa are =225.94kJ/kg and =2598.3kJ/kg respectively. The mass flow rate of steam is 10kg/s. Kinetic and potential energy changes are negligible. The power output of the turbine in MW is:

6.5

8.9

9.1

27.0

The following are the data for two crossed helical gears used for speed reduction: Gear I: Pitch circle diameter in the plane of rotation 80mm and helix angle . Gear II: Pitch circle diameter in the plane of rotation 120mm and helix angle .

If the input speed is 1440rpm, the output speed in rpm is

1200

900

875

720

A solid disc of radius r rolls without slipping on the horizontal floor with angular velocity and angular acceleration . The magnitude of acceleration of the point of contact on the disc is

A thin walled spherical shell is subjected to an internal pressure. If the radius of the shell is increased by 1% and the thickness is reduced by 1%, with the internal pressure remaining the same, the percentage change in the circumferential (hoop) stress is

1.08

2.02

The area enclosed between the straight line y=x and the parabola in the x-y plane is

1/6

1/4

1/3

1/2

Consider the function f (x) = x in the interval . At the point x=0, f (x) is

Continuous and differentiable

Non-continuous and differentiable

Continuous and non-differentiable

Neither continuous nor differentiable

Calculate the punch size in mm, for a circular blanking operation for which details are given below:

24.83

24.89

25.01

25.17

In a single pass rolling process using 410mm diameter steel rollers, a strip of width 140mm and thickness 8mm undergoes 10% reduction of thickness. The angle of bite in radians is

0.006

0.031

0.062

0.600

In a DC arc welding operation, the voltage-arc length characteristic was obtained as = 20 + 5l where the arc length l was varied between 5mm and 7mm. Here denotes the arc voltage in Volts. The arc current was varied from 400A to 500A. Assuming linear power source characteristic, the open circuit voltage and short circuit current for the welding operation are:

45V, 450A

75V, 550A

95V, 950A

150V, 1500A

A large tank with a nozzle attached contains three immiscible inviscid fluids as shown. Assuming that the changes in are negligible, the instantaneous discharge velocity is:

Water at enters a counter flow heat exchanger with a mass flow rate of 0.5kg/s. Air enters at with a mass flow rate of 2.09kg/s. If the effectiveness of the heat exchanger is 0.8, the LMTD is

5

A solid steel cube constrained on all six faces is heated so that the temperature rises uniformly by . If the thermal coefficient of the material is , Youngâ€™s modulus is E and the Poissonâ€™s ratio is v, the thermal stress developed in the cube due to heating is

A solid circular shaft needs to be designed to transmit a torque of 50Nm. If the allowable shear stress of the material is 140MPa, assuming a factor of safety of 2, the minimum allowable design diameter in mm is

16

24

32

A force of 400N is applied to the brake drum of 0.5m diameter in a band brake system as shown in the figure, where the wrapping angle is . If the coefficient of friction between the drum and the band is 0.25, the braking torque applied, in Nm is

100.6

54.4

22.1

15.7

A box contains 4 red balls and 6 black balls. Three balls are selected randomly from the box one after another without replacement. The probability that the selected set contains one red ball and two black balls is

Consider the differential equation with the boundary conditions of y (0) = 0 and y (1) = 1. The complete solution of the differential equation is

The system of algebraic equations given below has x + 2y + z = 4 2x + y + 2z = 5 x – y + z = 1

A unique solution of x=1, y=1 and z=1

Only the two solutions of (x=1, y=1 and z=1) and (x=2, y=1 and z=0)

Infinite number of solutions

No feasible solution

The homogeneous state of stress for a metal part undergoing plastic deformation is

Where the stress component values are in MPa. Using von Mises yield criterion, the value of estimated shear yield stress, in MPa is

9.50

16.07

28.52

49.41

Details pertaining to an orthogonal metal cutting process are given below

The shear strain rate in during the process is

In a single pass drilling operation, a through hole of 15mm diameter is to be drilled in a steel plate of 50mm thickness. Drill spindle speed is 500rpm, feed is 0.2mm/rev and drill point angle is . Assuming 2mm clearance at approach and exit, the total drill time in seconds is

35.1

32.4

31.2

30.1

Consider two infinitely long thin concentric tubes of circular cross section as shown in the figure. If are the diameters of the inner and outer tubes respectively, then the view factor is given by

Zero

An incompressible fluid flows over a flat plate with zero pressure gradient. The boundary layer thickness is 1mm at a location where the Reynolds number is 1000. If the velocity of the fluid alone is increased by a factor of 4, then the boundary layer thickness at the same location, in mm will be

A room contains 35kg of dry air and 0.5g of water vapour. The total pressure and temperature of air in the room are 100kPa and respectively. Given that the saturation pressure for water at is 3.17kPa, the relative humidity of the air in the room is

67%

55%

83%

71%

A fillet-welded joint is subjected to transverse loading F as shown in the figure. Both legs of the fillets are of 10mm size and the weld length is 30mm. If the allowable shear stress of the weld is 94MPa, considering the minimum throat area of the weld, the maximum allowable transverse load in kN is

14.44

17.92

19.93

22.16

A concentrated mass m is attached at the centre of a rod of length 2L as shown in the figure. The rod is kept in a horizontal equilibrium position by a spring of stiffness k. For very small amplitude of vibration, neglecting the weights of the rod and spring, the undamped natural frequency of th system is:

50

60

100

The inverse Laplace transform of the function is given by

f (t) = sint

f (t) =

f (t) = 1 –

For the matrix A = , ONE of the normalized eigen vectors is given as

Common Data Questions: 48 & 49

Two steel truss members AC and BC, each having cross sectional area of , are subjected to a horizontal force F as shown in the figure. All the joints are hinged.

8.17

11.15

14.14

22.30

If F = 1kN , the magnitude of the vertical reaction force developed at the point B in kN is

0.63

0.32

1.26

1.46

Common Data Questions: 50 & 51

A refrigerator operates between 120kPa and 800kPa in an ideal vapour compression cycle with R-134a as the refrigerant. The refrigerant enters the compressor as saturated vapour and leaves the condenser as saturated liquid. The mass flow rate of the refrigerant is 0.2kg/s. Properties for R-134a are as follows

The power required for the compressor in kW is

5.94

1.83

7.9

39.5

The rate at which heat is extracted in kJ/s from the refrigerated space is

28.3

42.9

34.4

14.6

Statement for Linked Answer Questions: 52 & 53

For a particular project, eight activities are to be carried out. Their relationships with other activities and expected durations are mentioned in the table below.

The critical path for the project is

a-b-e-g-h

a-c-g-h

a-d-f-h

a-b-c-f-h

If the duration of activity f alone is changed from 9 to 10 days, then the

Critical path remains the same and the total duration to complete the project changes to 19days

Critical path and the total duration to complete the project remain the same

Critical path changes but the total duration to complete the project remains the same

Critical path changes and the total duration to complete the project changes to 17days

Statement for Linked Answer Questions: 54 & 55

Air enters an adiabatic nozzle at 300kPa, 500K with a velocity of 10m/s. It leaves the nozzle at 100kPa with a velocity of 180m/s. The inlet area is . The specific heat of air is 1008J/kg.K.

The exit temperature of the air is

516K

532K

484K

468K

The exit area of the nozzle in is

90.1

56.3

4.4

12.9

The cost function for a product in a firm is given by , where q is the amount of production. The firm can sell the product at a market price of Rs.50 per unit. The number of uni ts to be produced by the firm such that the profit is maximized is

15

25

Choose the most appropriate alternative from the options given below to complete the following sentence:

Sureshâ€™s dog is the one _____ was hurt in the stampede.

that

which

who

whom

Choose the grammatically INCORRECT sentence:

They gave us the money back less the service charges of Three Hundred rupees.

This country’s expenditure is not less than that of Bangladesh.

The committee initially asked for a funding of Fifty Lakh rupees, but later settled for a lesser sum.

This country’s expenditure on educational reforms is very less

Which one of the following options is the closest in meaning to the word given below?

Mitigate

Diminish

Divulge

Dedicate

Denote

Despite several ______ the mission succeeded in its attempt to resolve the conflict.

attempts

setbacks

meetings

delegations

Wanted Temporary, Part-time persons for the post of Field Interviewer to conduct personal interviews to collect and collate economic data. Requirements: High School-pass, must be available for Day, Evening and Saturday work. Transportation paid, expenses reimbursed.

Which one of the following is the best inference from the above advertisement?

Gender-discriminatory

Xenophobic

Not designed to make the post attractive

Not gender-discriminatory

Given the sequence of terms, AD CG FK JP, the next term is

OV

OW

PV

PW

Which of the following assertions are CORRECT? P: Adding 7 to each entry in a list adds 7 to the mean of the list Q: Adding 7 to each entry in a list adds 7 to the standard deviation of the list R: Doubling each entry in a list doubles the mean of the list S: Doubling each entry in a list leaves the standard deviation of the list unchanged

P, Q

Q, R

P, R

R, S

An automobile plant contracted to buy shock absorbers from two suppliers X and Y. X supplies 60% and Y supplies 40% of the shock absorbers. All shock absorbers are subjected to a quality test. The ones that pass the quality test are considered reliable Of X’s shock absorbers, 96% are reliable. Of Y’s shock absorbers, 72% are reliable.

The probability that a randomly chosen shock absorber, which is found to be reliable, is made by Y is

0.288

0.334

0.667

0.720

A political party orders an arch for the entrance to the ground in which the annual convention is being held. The profile of the arch follows the equation where y is the height of the arch in meters. The maximum possible height of the arch is

8 meters

10 meters

12 meters

14 meters

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