1. The rank of a matrix

<img src='./qimages/3399-1.jpg'>

3

2

0

1

2. If matrix

<img src='./qimages/3399-2.jpg'>

then the eigen values of 3A3+ 5A2+ 6A I are 0

51,75, -32

15,57, -53



-75,35

3. If <img src='./qimages/3399-3.jpg'>

where S is the surface S of the rectangular parallelopiped then the value of


4. If

<img src='./qimages/3399-4.jpg'>
andS is the open S surface of the sphere x2+ y2 z2 =a2 above the xy-plane, then the value of I is


5. Solution of the differential equation

<img src='./qimages/3399-5.jpg'>

7. The value of complex integral

<img src='./qimages/3399-7.jpg'>

8. If X and Y are independent normal variates with mean 7 and variances 16 respectively satisfying the equation P(X lamda >3lamda), then the value of is







4

9. If

<img src='./qimages/3399-9.jpg'>

10. The value of <img src='./qimages/3399-10.jpg'>

by dividing integral into six equal parts and using Simpson's one-third rule approximately equals to

115

98

125

90

11. In single phase alloys, the commonly used mechanism for strengthening is/are by

Grain size reduction

Solid-solution alloying

Strain hardening

All of the above

12. The force which holds neutrons and protons together in a nucleus is

Electrostatic force

Gravitational force

Magnetic force

Nuclear force

13. The property of a metal by virtue of which it can withstand external force with out rupture is

Stiffness

Strength

Toughness

Hardness

14. Most widely used conducting materials are

Gold and Silver

Copper and Aluminium

Tungsten and Platinum

Germanium and Silicon

15. Which of the following statements is not true in connection with silver?

It has highest thermal and electrical conductivity.

It is a highly ductile and malleable metal.

It oxidises slowly in air.

It cannot be alloyed with other metals.

16. The method to increase the yield strength ofa crystalline material is

Annealing

Grain refinement

Normalizing

None of the above

17. Which of the following properties is not desirable for bearing alloy?

Good wearing quality

Low coefficient of friction

Low thermal conductivity

High melting point

18. An increase in load at the free end of a cantilever is likely to cause failure

at the free end

at the fixed support end

at the mid of its length

anywhere on the beam

19. Coplanar concurrent forces are those forces which

meet at one point, but their lines of action do not lie on the same plane.

do not meet at one point and their lines of action also do not lie on the same plane.

meet at one point and their lines of action also lie on the same plane.

do not meet at one point, but their lines of action lie on the same plane.

20. If a shaft of diameter and length has been loaded axially, then the ratio of change in diameter to the original is called as

Longitudinal strain

Shear strain

Volumetric strain

Lateral strain

21. The ratio of the lateral strain to the linear strain is called

Modulus of elasticity

Modulus of rigidity

Bulk modulus

Poisson's ratio

22. If P and Q are two vectors and is the angle between them, then the magnitude of their resultant by using parallelogram law is

<img src='./qimages/3399-22.jpg'>

23. A continuous beam is one which is

fixed at both ends

fixed at one end and free at the other end

supported on more than two supports

extending beyond the supports

24. The governor which is hunting is

more sensitive

more stable

less sensitive

None of the above

25. The shaft and thrust bearing of a vertical shaft in a turbine is an example of

Complete constraint

Incomplete constraint

Successful constraint

Unreliable constraint

26. The Von Mises theory is used for

brittle materials

ductile materials

plastic materials

elastic materials

27. For a given lift of the follower of a cam follower mechanism, a smaller base circle diameter is desired

because it will give a steeper cam and higher pressure angle

because it will give a profile with lower pressure angle

because it will avoid jumping

None of the above

28. In the formulation of Lewis equation for toothed gearing, it is assumed that tangential load acts on the

root of the tooth

pitch point

tip of the tooth

None of the above

29. In design of clutches, it is more logical and safer to use

Uniform wear theory

Uniform pressure theory

Contact stress theory

None of the above

30. An Otto cycle efficiency is higher than Diesel cycle efficiency for compression ratio and heat input, because in Otto cycle

Maximum temperature is higher

Heat rejection is lower

Combustion is at constant volume

Expansion and compression are isentropic the same

31. The Darcy -Weisbach equation is commonly used for finding

Loss of head due to friction in pipes

Loss ofhead due to turbulence

Loss of head due to sudden enlargement

Loss of head due to bend in the pipe

32. A pipe is replaced by two parallel pipes, each with half the cross-section of the original pipe. The discharge will

remain the same

increase by more than 10%

decrease by more than 10%

change by less than

33. In an irreversible process there is

loss of heat

no loss of work

gain of heat

no gain of heat

34. The reheating of steam in a steam turbine

increases the work done through the turbine

reduces erosion of the turbine blades

increases the thermal efficiency of turbine

All of the above

35. The radial heat transfer rate through hollow cylinder increases as the ratio of outer radius to inner radius

decreases

increases

remains constant

None of the above

36. When 0·83% carbon eutectoid steel slowly cooled from 750°C to room temperature,

Austenite transforms to martensite

Austenite transforms to cementite i

Austenite transforms to pearlite

Pearlite transforms to ferrite

37. Match the List I (Alloying elements of Cast Iron) with List II (Properties imparted) and choose the correct alternative from those given below:

List I Alloying elements of Cast Iron List II Properties imparted

P. Silicon I. Decreases fluidity
Q. Sulphur II. Promotes graphitization
R. Manganese III. Lowers melting point
S. Phosphorus iv. Promotes resistance to graphitization

P Q R S

N I III

III IV I II

I N III

III II N

38. Match the List I (Heat treatment process) with List II (Application) and choose the correct alternative from those given below:

List I Heat treatment process List II Application

P. Grey cast iron I. Rolling mill rolls
Q. White cast iron II. Crank shaft
R. Medium carbon steel III. Surgical instruments
S. Stainless steel iv. Machine tool bed PQRS

I II III

N II III

II N III I

I N III

39. Atomized iron powder having an apparent density of 2350 kg/m3 has a compression ratio of 3 at compact pressure of 600 MPa. To compact 1000 bushes of 020 mm outer diameter, 010 mm inside diameter and 14 mm long, the mass of the powder required is

32·3 kg

23·3 kg

20·6 kg

16·6 kg

40. The correct sequence of the processes involved in powder metallurgy is

Blending, Compacting, Sintering and Sizing

Blending, Compacting, Sizing and Sintering

Compacting, Sizing, Blending and Sintering

Compacting, Blending, Sizing and Sintering

41. Match the List I (Casting process) with List II (Mould making technique) and choose the correct alternative from those given below:

List I Casting process List II Mould making technique

P. Green sand moulding I. Pouring
Q. Shell moulding II. Dipping
R. Investment moulding III. Compaction
S. Ceramic moulding IV. Resin bonding

P Q R S

II I IVIII

III II IV

(3)III IV II I

(4)IVII III I

42. Match the List I (Casting process) with List II (Product produced) and choose the correct alternative from those given below

List I List II
Casting process Product produced

P. Centrifugal casting I. Large bells
Q. Sand casting II. 1.C. Engine pistons
R. Die casting III. Turbine blades
s. Investment casting IV. Pulleys

P Q R S

I II III

II I III

IV III II

III IV II

43. In a sand casting process, a sprue of 010 mm base diameter and 250 mm height leads to a runner which fills a cubicle mould cavity of 100 mm size. The volume flow rate (in mm3/s) is

0·8 x 105

1·1 x 105

1·7 x 105

2·3 x 105

44. A cast steel slab of dimension 30 x 20 x 5 em is poured horizontally using a side riser. The riser is cylindrical in shape with diameter and height, both equal to D. The freezing ratio of the mould, used in designing riser using Caine's method is approximately equal to

8D/75

4D/75

75 /8D

75/4D

45. A cubic casting of 50 mm side undergoes a volumetric solidification shrinkage and volumetric solid contraction of and respectively_ No riser is used_ Assume uniform cooling in all directions_ The side of the cube after solidification and contraction is

49-96 mm

49-94 mm

48-94 mm

48-32 mm

46. In a multi-pass wire drawing operation, a round bar of 010 mm diameter and 100 mm length is reduced in cross-section by drawing successively through a series of seven dies of decreasing exit diameter_ During each of these drawing operations, the reduction in cross-sectional area is The yield strength of the material is 200 MPa_ Ignore strain hardening_ The total true strain applied and the final length (in respectively, are

2-45 and 817

2-45 and 345

3-02 and 2040

3-02 and 3330

47. A 025 mm hole is punched in a t =2.5 mm thick steel sheet having shear strength pie 350MPa_ If the diametral clearance is given by the expression c 0-0064 t route pie the die bore diameter (in punch diameter (in mm) and punch force (in kN) respectively are

171-8

25-0,24-7,68-72

171-8

25-3,25-0,68-72

48. A 010 mm diameter annealed steel wire is drawn through a die at a speed of 0-5 m/sec to reduce the diameter by The yield stress of the material is 800 MPa_ Neglecting friction and strain hardening, the ideal stress required for drawing (in MPa) is

357-0

178-5

1287-5

2575-0

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

0·006

0·031

0·062

0·600

50. Using direct extrusion process, a round billet of 0100 mm length and 50 mm diameter is extruded. Considering an ideal deformation (no friction and no redundant work) with extrusion ratio of 4 and the average flow stress of material 300 MPa, the extrusion pressure (in MPa) on the ram will be

416

624

700

832

51. Two 8 mm thick steel plates are placed 5 mm apart and welded by a butt joint. Welding is carried out with voltage of 20 V and speed of 5 mm/s. Heat transfer efficiency is 0·80. If the heat required to melt steel is 10 J/mm3 and melting efficiency is 0.625, the weld current (in Amperes) will be

100

200

300

400

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

45 450 A

75V,750A

95 950 A

150 1500 A

53. The DC power source for arc welding has the characteristic 3V I 240 where V voltage and I current in Amp. For the maximum arc power at the electrode, voltage should be set at

20V

40V

60 V

80 V

54. Match the List I (Welding process) with List II (Heat source) and choose the correct alternative from those given below

List I List II
Welding process Heat source

P. Thermit welding I. Electric arc
Q. Projection welding II. Mechanical work
R. MIG welding III. Exothermic chemical reaction
S. Friction welding IV. Ohmic resistance

p Q R S

IV II III I

IV IIII II

III I IV II

III IV I II

55. Spot welding of two 1 mm thick sheets of steel (density =8000 kg/m3) is carried out successfully by passing a certain current for 0·1 second through the electrodes. The resultant nugget formed is 05 mm in diameter and 1·5 mm thick. If the latent heat of fusion of steel is 1400 kJlkg and the effective resistance in the welding operation is 200 the current passing through the electrodes is approximately

1480 A

3300 A

4060 A

9400 A

56. Which of the following is a non-traditional machining process?

Milling

EBM

Drilling

Turning

57. The pocket or resting position of the work piece in a jig or fixture is referred to as a

Rest

Base

Case

Nest

58. Die blocks made in two or more sections are known as

Split die blocks

Sectional die blocks

Dual die blocks

Progressive die blocks

59. If the die clearance is to be applied to the die opening, it should be added to the

Die

Punch

Template

Stock

60. The three-position inclinable press is frequently referred to as

Closed-back inclinable press

Open-back inclinable press

Solid-gap press

Gap-frame press

61. Which of the following is not the basic forging operation?

Upsetting

Heading

Fullering

Staking

62. A successful TQM program incorporates all except

a. continuous improvement
b. employment improvement
c. benchmarking
d. centralized decision making authority

Only d

a and b

b and c

c and d

63. Acceptable Quality Level is associated with

Producer's risk

Consumer's risk

Lot Tolerance Percent Defective

Average Outgoing Quality Limit

64. In the Computer Aided Design, the simplest solid objects are termed as

Entities

Primitives

Models

Boxes

65. Which of the following process planning systems uses the similarity among components to retrieve the existing process plans?

Generative approach

Decision approach

Variant Process Planning system

N one of the above

66. The volume of the space created within the virtual surfaces swept by the robot arm at the maximum and the minimum reach is called

Work place

Work space

Work volume

Work area

67. Which of the following types of layout configurations is/are used in FMS

In-line

Loop

Ladder

All of the above

68. In Computer Aided Manufacturing, the elements of CIM system are

Automated

Optimized

Integrated

All of the above

69. The current trends in manufacturing technology reqUIre high quality with acceptable levels of defects with a

Zero-defect philosophy

Zero-error philosophy

Zero-tolerance philosophy

None of the above

70. The value is defined as the ratio of function or performance to

Utility

Price

Cost

All of the above

71. Concurrent Engineering deals with carrying out the following activities at the same time while designing the product:

Design and Sales

Manufacturing and Sales

Design and Re-engineering

Design and Manufacturing

72. Product design deals with

Form and function

Elements and weight

Elements and material

Size and shape

73. The initial cost of an equipment is 20,000 and it's life is estimated as 10 years. What is the rate of depreciation, when scrap value after it's life becomes zero?

dallor 1,000 per year

dallor 2,000 per year

dallor 3,000 per year

dallor 4,000 per year

74. For a small scale industry, the fixed cost per month is 5,000. The variable cost per product is 20 and sale price is 30 per piece. The break-even production per month will be

300

460

500

1,000

75. Job evaluation is the method of determining the

relative worth of a job

skills required of a worker

contribution of a worker

effectiveness of various alternatives

76. Work sampling observations are taken on the basis of

Detailed calculations

Convenience

Table of random numbers

Fixed percentage of daily production

77. Which of the following techniques is used for work measurement?

Method Study

Time Study

Ergonomics

Productivity Rational Technique

78. Name the scientists Re-engineering.

Tolstoy and Ali who developed the technique of Business

Risbood and Marshal Process

Hammer and Champy

Taylor and Gilbreth

79. In work measurement, 1 TMU is equal to

0·6 min

0·06 min

0·006 min

0·0006 min

80. Standard Time in Time Study is calculated by which of the following formulae?

ST =OTxR+A

ST=OT+A

ST=R+A

ST= OT+R+A

81. PERT stands for

Product Evaluation Refining Technique

Production Enhancement Review Technique

Peripheral Evaluation Rigid Technique

Program Evaluation Review Technique

82. Which of the following is not the example of variable cost

Direct productive labour

Direct materials

Direct expenses

Administrative expenses

83. According to which of the following methods is the depreciation fund more during the early years, when repairs and renewals are not costly?

Sinking Fund Method

Annuity Method

Diminishing Balance Method

Sum of the Year's Digit Method

84. The angle between the sales income line and the total cost line is called as the

Angle of reflection

Angle of incidence

Angle of repose

None of the above

85. Which of the following is not the Leverage Ratio?

Acid Test Ratio

Debt Equity Ratio

Assets Coverage Ratio

Debt-Service Coverage Ratio

86. In Reliability, MTBF stands for

Mean Time Batch Forecasting

Maximum Time Batch Failures

Mean Time Between Failures

Mean Time Between Force

87. The primary purpose of employee safety programme is to preserve the employees'

Mental health

Physical health

Emotional health

All of the above

88. Which of the following is not connected with employees' safety and health?

The Factories Act, 1948

The Mines Act, 1952

The Payment ofBonus Act, 1965

The Dock Workers (Safety, Health and Welfare) Act, 1986

89. Which of the following explains the term 'Union ballots'?

A ballot is the system by which a union member votes for e.g. Industrial Action

A ballot is the method by which a union expels members

A ballot is the method by which a union recruits members

A ballot is the system by which a union member puts forward information for listing

90. The balance of power is not vested with anyone group; rather it is maintained between the parties to the "Industrial Relations". This is the essence of the

Pluralist approach

System approach

Unitary approach

Social approach

91. In which of the following years was the Workmen's Compensation Act introduced?

1948

1976

1923

1961

92. Break-Even Point is a point of intersection of

Variable Cost and Total Sales lines

Total Cost and Total Sales lines

Fixed Cost and Variable Cost lines

Total Cost and Variable Cost lines

93. Which of the following is not a function of production planning and control? .

Scheduling

Process Planning

Expediting

Replacement Analysis

94. A systematic recording and critical examination of existing method in order to develop new effective method is called

Time study

Linear programming

TPM

Method study

95. Which of the following is a method of forecasting?

CPM

Moving Average

Merit rating

PMTS

96. Which Act of the Parliament defines a 'trade union' and governs much of the law on Industrial Relations

The Trade Union Act, 1955

The Trade Union and Labour Relations Act, 2005

The Trade Union and Labour Relations (Consolidation) Act, 1991

The Trade Union and Labour Relations (Consolidation) Act, 1992

97. In a CNC program block N002 002 G91 X40 Z40 ..., G02 and G91 refer to

Circular interpolation in counter clockwise direction and incremental dimension

Circular interpolation in counter clockwise direction and absolute dimension

Circular interpolation in clockwise direction and incremental dimension

Circular interpolation in clockwise direction and absolute dimension

98. Match the List I with List II and choose the correct alternative from those given below:

List I NC Code List II Definition

P. M05 I. Absolute coordinate system
Q. G01 II. Dwell
R. G04 III. Spindle stop
S. G90 IV. Linear interpolation

P Q R S

II III IV I

III IV I II

III IV II I

IV III III

99. "Operators simply load new programs as necessary, to produce different products", describes

Automatically guided vehicles

Flexible manufacturing system

Vision system

Process control

100. Concurrent Engineering is not related with

DFM

DFMA

Simultaneous Engineering

Sum of Digits Method