INDIAN INSTITUTION OF INDUSTRIAL ENGINEERING
GRADUATESHIP EXAMINATION
August 2018
Max. Marks: 100
Section-A
Time: 3 hrs.
IEA 01 – PROBABILITY AND STATISTICAL METHODS
Notes: 1.
2.
3.
Q1.
Q2.
Answer any five questions. Each question carries 20 marks.
Answer in brief and to the point.
Use of probability and statistical tables are permitted.
(A)
Write a short note on central limit theorem.
(05)
(B)
Explain briefly the general procedure of testing the
appropriateness of a distribution.
(05)
(C)
What is Design of Experiments? Explain with a suitable
example.
(10)
(A)
In an experiment on immunization of cattle from
Tuberculosis the following results were obtained.
Affected
Not Affected
Total
Affected
267
27
294
Not Affected
757
155
912
Total
1024
182
1206
(10)
Use Chi-square test to determine the efficacy of vaccine in
preventing tuberculosis.
(B)
Q3.
Present an overview of SPSS package along with its
features, applications, advantages and limitations.
(10)
(A)
A lot containing 7 components is sampled by a quality
inspector, the lot contains 4 good components and 3
defective components. A sample of 3 is taken by the
inspector. Find the expected value of the number of good
components in this sample.
(10)
(B)
In a certain factory turning out blades, there is a small
chance 1/500 for any blade to be defective. The blades
are supplied in packets of 10. Use the Poisson distribution
to calculate the approximate number of packets
1
containing no defective, one defective, two defective
blades in a consignment of 10000 packets.
(Given e-0.02 = 0.9802)
(10)
Q4.
(A)
A certain test for a particular cancer is known to be 95%
accurate. A person submits the test and the result is
positive. Suppose that a person comes from a population
of 1,00,000 where 2,000 people suffer from that disease.
What can we conclude about the probability that the
person under test has that particular cancer?
(10)
(B)
A shaft manufacturing company wants to determine the
diameter of a certain grade of shaft. Ideally, the diameter
would be 470 mm.The data are as follows:
472, 472, 473, 468, 469, 475, 465, 470
(i)
Find the sample mean and median,
(ii)
Find the sample variance, standard deviation and
range
Using the calculated statistics in parts (i) and (ii),
comment on the quality of Shafts produced.
Q5.
(A)
(10)
A chemical engineer is investing the effect of process
operating parameter X on response Y. The study
results in the following data.
(12)
X
78
36
98
25
75
82
90
62
65
39
Y
84
51
91
60
68
62
86
58
53
47
Find the equation of the least square line which will enable
to predict response on the basis of parameter X. Find
also the degree of relationship between the X and Y.
Q6.
(B)
A factory turns out an article by mass production methods.
From the past experience it is found that 20 articles on
an average are rejected out of every batch of 100.Find
the mean and the variance of the number of rejected
articles.
(08)
(A)
The weights of 4000 students are found to be normally
distributed with mean 50 kgs and standard deviation
5 kgs. Find the probability that a student selected at
random will have weight (i) Less than 45 kgs (ii) Between
45 and 60 kgs.
(10)
2
(B)
Ten school boys were given a test in Statistics and their
scores were recorded. They were given a month special
coaching and a second test was given to them in the
same subject at the end of the coaching period. Test if
the marks given below give evidence to the fact that the
students are benefited by coaching.
(10)
Marks in
Test I
70
68
56
75
80
90
68
75
56
58
Marks in
Test II
68
70
57
73
75
78
80
92
54
55
Q7.
(A)
Write short notes on the following (Any three)
i)
Chi-square test
ii)
Binomial distribution
iii)
Regression analysis
iv)
Baye's Theorem
————— × —————
3
(20)
INDIAN INSTITUTION OF INDUSTRIAL ENGINEERING
GRADUATESHIP EXAMINATION
August 2018
Max. Marks: 100
Section - A
Time: 3 hrs.
IEA 02 OPERATIONS RESEARCH
Notes : 1.
2.
3.
Q1.
Q2.
Answer any five questions. Each question carries 20 marks.
Answer in brief and to the point.
Necessary calculations must be shown in your answer paper.
A)
How different models in operation research help to make
decisions. Explain with examples.
(10)
B)
Explain with the help of suitable example how decision
trees helps to take decision.
(10)
A)
Solve the following LP problem using simplex method
Maximize Z = 5X1 + 3X2 + X3
Subject to
X1 + X2 + 3X3 6
5X1 + 3X2 + 6X3
X1 X2 and X3
B)
Q3.
15
≤
≥
0
(15)
Diet for a sick person must contain at least 4000 units of
vitamins, 50 units of minerals and 1400 calories. Two
foods A and B are available at a cost of Rs.4 and Rs.3
per unit respectively. If one unit of A contains 200 units
of vitamins,! unit of mineral and 40 calories and one unit
of B contains 100 units of vitamins, 2 units of minerals
and 40 calories. Formulate the problem as Linear
programming model.
(05)
Solve the following assignment problem for minimization
Building
B1
B2
B3
B4
C1
48
56
96
42
Contractor
C2
C3
48
50
60
60
94
90
44
54
1
C4
44
68
85
46
(20)
Q4.
Find the optimum solution to the following transportation
problem in which the cells contain the transportation cost in
rupees.
(20)
1
Q5.
Q6.
Q6.
2
3
4
5
Available
4
5
9
40
A
7
B
8
5
6
7
8
30
C
6
8
9
6
5
20
D
5
7
7
8
6
10
Required
30
30
15
20
5
Solve the following game using dominance property.
(A)
B)
(20)
A
B
C
D
E
I
1
3
2
7
4
II
3
4
1
5
6
III
6
5
7
6
5
IV
2
0
6
3
1
The arrival rate of customers at a reservation center
follows Poisson distribution with a mean of 60 per hour.
The service rate of the counter clerk also follows Poisson
distribution with a mean of 70 per hour.
i)
What is the probability of having 0 customer in
the system?
ii)
What is the probability of having 6 customers in
the system?
iii)
What is the probability of having 12 customers in
the system?
iv)
Also find the number of customers in the system
and in the queue.
(08)
A company manufactures 30 units per day. Sale of these
items depends upon demand which has the following
distribution:
(12)
2
Sales (units)
Probability
27
28
29
30
31
32
0.10
0.15
0.20
0.35
0.15
0.05
Production cost and sales price of each unit are Rs.40 and
Rs.50 respectively. Any unsold product is to be disposed off at
a loss of Rs.15 per unit. There is penalty of Rs.5 per unit if the
demand is not met. Using the following random numbers
estimate the total profit / loss for the next ten days: 10, 99, 65,
99, 95, 01, 79, 11, 16, 20
Q7.
Write short notes (Any two)
(20)
i)
Duality in LPP
ii)
Sensitivity Analysis
iii)
Discrete Event Simulation
———— × ————
3
INDIAN INSTITUTION OF INDUSTRIAL ENGINEERING
GRADUATESHIP EXAMINATION
August 2018
Max. Marks: 100
Section - A
Time: 3 hrs.
IEA 03 FINANCIAL ACCOUNTING & COSTING
Instructions:
1. Answer Any Five questions. (20 marks each)
2. Assume suitable data wherever required and mention it.
3. Necessary calculations must be shown in the answer paper.
4. Figures to the right indicate full marks.
Q1.
From the following Trial Balance prepare:
(20)
Trading and Profit & Loss Account for the year ending
31-03-2018 and Balance Sheet as on 31-03-2018 for Swagat
Limited.
Trial Balance of Swagat Limited as on 31-03-2018
Particulars
Cash in hand
Opening Stock of Goods
Debtors
Salaries
Purchases and Purchase return
Rent
Bad Debts
Machinery
Investments
Advertising expenses
Cash at Bank
Wages
Buildings
Sales and sales returns
Electricity
Equity Share Capital
Insurance
Creditors
Land
Bank Loan
Bills Payable
Total
Debit Rs.
10,000
75,000
1,00,000
25,000
2,60,000
5,000
1,000
70,000
45,000
10,000
10,000
15,000
50,000
5,000
5,000
Credit Rs.
10,000
4,40,000
1,20,000
4,000
80,000
20,000
7,10,000
1
30,000
30,000
7,10,000
Additional Information:
1.
Closing stock of goods was Rs.55,000 as on 31-03-2018.
2.
Depreciate Machinery by 15% and Buildings by 5%.
3.
As on 31-03-2018 prepaid insurance was Rs. 1,000.
4.
As on 31-03-2018 outstanding electricity charges was
Rs.5,000.
5.
As on 31-03-2018 interest on bank loan Rs. 5,000 was
not paid.
Q2.
The following details regarding Material AD10 is provided by
S Limited for the month of June 2018.
(20)
June
June
June
June
June
June
June
3:
9:
15:
20:
25:
27:
30:
Purchased 2000 units
Purchased 2000 units
Issued 3000 units
Purchased 1000 units
Issued 1000 units
Purchased 2000 units
Issued 1500 units
@ Rs.10 per unit
@ Rs. 12 per unit
@ Rs.13 per unit
@ Rs.9 per unit
Prepare a Stores Ledger for the month of June 2018 from the
above transactions under each of the following methods:
(i)
First In First Out (FIFO) Method
(ii)
Last In First Out (LIFO) Method
(iii) Weighted Average Pricing Method
Q3.
A factory produces and sells 750 units of Product V21 per
annum. Other details are as follows:
(20)
Fixed cost per annum:
Rs. 6,000
Variable cost per unit:
Rs. 10
Selling price per unit:
Rs. 20
Determine the following:
i)
Contribution per unit
(ii)
Profit Volume Ratio
(iii)
Break even sales in units and value
(iv)
Margin of Safety in units and value
(v)
Profit earned if sales are 1200 units
2
(vi)
New Break even sales in value if selling price per unit
increases by 25%
New Break Even Sales in value if variable cost per unit
decreases by 20%.
(15)
(vii)
Q4.
(a)
Z Ltd. wants to purchase a new machine costing Rs.
9,00,000. The expected life of the machine is 5 years
with no scrap value. The required rate of return on capital
is 15%. The expected cash inflows and the Present Value
Factors at 15% and 30% for the five years are as given
below. Ignore depreciation for calculation
(15)
Year
1
2
3
4
5
Cash Inflows
in Rs.
3,50,000
4,50,000
3,70,000
3,50,000
2,30,000
PV Factor
at 15%
0.870
0.756
0.658
0.572
0.497
PV Factor
at 30%
0.769
0.592
0.455
0.350
0.269
You are required to calculate for the new machine:
(i)
Simple Pay Back Period
(ii)
Net Present Value (NPV) at 15%
(iii) Profitability Index at 15%
(iv) Internal Rate of Return
(v) Advise Z Ltd. with reasons whether the machine
should be purchased.
Q4.
(b)
Explain briefly any two of the following:
(i)
Current Ratio
(ii)
Inventory Turnover Ratio
(iii) Gross Profit Ratio
Q5.
(a)
Vegan Ltd. has two production departments: Mach, Finis
and a service department: Prod Server. The following
data is taken from.the books of the company for the year
ended March 2018.
(15)
Overheads Incurred
Depreciation: Fixed Assets
Rent of Building
3
Amount Rs.
60,000
1,00,000
(05)
Power
Labour welfare expenses
Insurance: Fixed Assets
50,000
40,000
12,000
Additional information is as follows:
Particulars
Mach
Finis
Prod Server
Fixed Assets Value (Rs.) 1,50,000
1,20,000
30,000
2500
1500
1000
50
30
20
250
150
100
Floor Area (sqm)
Number of Employees
HP of Machines
Prepare an Overhead Analysis Sheet showing the
Apportionment of Overheads to the Production and Service
departments stating the basis of apportionment.
Q5.
(b)
Discuss the Straight Line Method of providing
Depreciation on Fixed Assets with the help of an
illustration.
(05)
Q6.
(a)
State five advantages of setting up a Standard Costing
system in a company.
(05)
(b)
Explain by drawing a specimen format what is meant
by a Goods Received Note (GRN).
(05)
Explain Labour Turnover. What are the causes of
Labour Turnover?
(05)
(c)
(d)
Q7.
What is Working Capital? What are the constituents of
working capital?
(05)
Write short notes on any four (5 marks each):
(a)
Classification of costs on the basis of elements of cost.
(b)
Advantages of setting up a system of budgets and
budgetary controls in an organization.
Activity based costing.
Time Rate and Piece Rate Systems of wage payment.
Normal and Abnormal Idle Time.
Debentures as a source of finance.
———— × ————
(c)
(d)
(e)
(f)
4
(20)
INDIAN INSTITUTION OF INDUSTRIAL ENGINEERING
GRADUATESHIP EXAMINATION
August 2018
Max. Marks: 100
Section-A & B
Time: 3 hrs.
IEA 04 PRINCIPLES AND PRACTICES OF MANAGEMENT
Instructions :
Q1.
1.
Solve any five questions.
2.
Assume suitable data wherever necessary and specify it.
3.
Neat and clean handwriting shall be rewarded appropriately.
A)
Comment on "Management: A science or an art".
(10)
B)
What are the principles of scientific management?
(10)
Q2.
What are the characteristics of a healthy organization culture?
How does it help to improve performance of an organization? (20)
Q3.
Explain the various types of organization structures alongwith
their advantages, limitations and applications?
(20)
Q4.
A)
Define project management? What are the functions of
a project management dept. in an industry?
(10)
B)
What are the social responsibilities of a business?
(10)
Q5.
What is marketing management? Why it is necessary for an
industrial engineer to have the knowledge of marketing
management? What are the functions of marketing?
(20)
Q6.
What is operations management? Why it is necessary for an
industrial engineer to have the knowledge of operations
management? What are the functions of operations
management?
(20)
Q7.
Explain the contribution of any ten management gurus for the
profession of management?
(20)
———— × ————
1
INDIAN INSTITUTION OF INDUSTRIAL ENGINEERING
GRADUATESHIP EXAMINATION
August 2018
Max. Marks: 100
Section-B
Time: 3 hrs.
IEA 05 – WORK SYSTEMS DESIGN
Instructions:
1.
Solve any five questions.
2.
Assume suitable data wherever necessary and specify it.
3.
Neat and clean handwriting shall be rewarded appropriately.
Q1.
What do you understand by work system design? What are
the factors affecting it? Demonstrate work system design with
the help of suitable example?
(20)
Q2.
Define an incentive? What are the various types of incentive
systems? Demonstrate the application of incentive system
design with the help of suitable example?
(20)
Q3.
Define an ergonomics? Demonstrate the application of an
ergonomics for designing a layout of kitchen in a house? State
the principles of ergonomics used in it?
(20)
Q4.
Define productivity? What are the factors contributing to low
productivity? What are the remedies for it?
(20)
Q5.
A)
Demonstrate the theory of learning curve with the help
of suitable example?
(10)
Q5.
B)
What Do You Understand By Maynard's Operation
Sequencing Technique?
((10)
Q6.
Define a method study? Demonstrate the application of it
With the help of suitable case study?
(20)
Q7.
Define activity sampling? What are the application of it?
Compare
it
with
other
techniques
of
work
measurement?
(20)
———— × ————
1
INDIAN INSTITUTION OF INDUSTRIAL ENGINEERING
GRADUATESHIP EXAMINATION
August 2018
Max. Marks: 100
Section-A
Time: 3 hrs.
IEA 06 MANUFACTURING TECHNOLOGY
Instructions : 1) Answer any Five Questions.
2) All questions carry equal marks
3) Illustrate your answers with well labelled diagram.
Q1.
Q2.
Q3.
Q4.
Q5.
a)
Explain different types of patterns with neat sketch. What
are pattern allowances
(10)
b)
Explain in detail the process of mould making also enlist
different type of moulds.
(10)
a)
Explain different types of welding joint with neat sketch. (10)
b)
Explain in details oxy acetylene gas welding, give its
applications.
(10)
a)
Differentiate between direct and indirect extrusion with
neat sketch. Mention applications of each process.
(10)
b)
Write short note on
a)
i)
Punching
ii)
Deep Drawing
(10)
Write short note on
i)
Honing
ii)
Lapping
(10)
b)
Explain various types of cutting tool materials. Enlist the
essential characteristics of an ideal cutting tool material (10)
a)
Explain in detail various types of Jigs and Fixtures with
neat sketch.
(10)
b)
What do you understand by optical method of angular
measurement? Explain any one angular measuring
instrument with a neat sketch
(10)
1
Q6.
Q7.
a)
Explain the importance and principal of work holding
device and clamping device.
(10)
b)
What do you understand by orthogonal metal cutting? (10)
a)
Write short notes on following
i)
FMS
ii)
CIM
iii)
USM
iv)
Tool Life.
————— × —————
2
(20)
INDIAN INSTITUTION OF INDUSTRIAL ENGINEERING
GRADUATESHIP EXAMINATION
August 2018
Max. Marks : 100
Section-A
Time: 3 hrs.
IEA 07 – SYSTEMS APPROACH
Notes : 1) Answer any Five Questions. Each question carriers 20
marks.
2) Answer must be crisp and to the point
Q1.
Q2.
Q3.
(a)
Explain systems engineering, systems analysis and
systems dynamics with the help of examples.
(10)
(b)
Describe the common elements of any system in brief. (10)
(a)
How does system approach of management differ from
contingency or situational management?
(10)
(b)
Discuss the necessity of system maintenance. Describe
the types of system maintenances.
(10)
(a)
What are the various models of information system?
(10)
(b)
State the areas of application of MIS.
(10)
Q4.
Evaluate the application of system approach to the analysis of
work organizations with the help of examples.
(20)
Q5.
(a)
Differentiate between hard and soft system approach in
the context of Modern Manufacturing Organization.
Illustrate with the help of examples.
(10)
(b)
Describe the major steps in implementation of MIS
design.
(10)
(a)
What are the various system analysis tools and why do
we need more than one tool at a time? Explain.
(10)
(b)
Describe the contribution of Management Gurus in
Systems Approach.
(10)
Q6.
1
Q7.
Explain the following:
(a)
Database
(b)
Decision support system
(c)
System development cycle
(d)
Multiple approach
(5+5+5+5)
———— × ————
2
INDIAN INSTITUTION OF INDUSTRIAL ENGINEERING
GRADUATESHIP EXAMINATION
August 2018
Max. Marks: 100
Section-A
Time: 3 hrs.
IEA 08 ECONOMICS & INDIAN ECONOMIC
ENVIRONMENT
Instructions: 1)
2)
Q1.
Q2.
Q3.
Q4.
Q5.
Answer Any Five questions
All Questions carry equal marks
a)
Define Economics & explain the concepts of
Macroeconomics & Microeconomics
(10)
b)
Write a note on (any 1)- (i) Population & economic
development of India OR (ii) Natural resources of India (10)
a)
Explain Law of diminishing marginal utility with it's
exceptions. State it's Importance.
(10)
b)
Explain briefly : a) lncome & Wealth b) Economic
Development & Growth
(10)
a)
What is Monetary Policy & Fiscal Policy. Discuss briefly
that of India.
(10)
b)
Name the different forms of competition (Market
categories). Outline the key aspects of each of them. (10)
a)
List down various methods of measurement of price
elasticity of demand & explain any one. What is the
significance of Price Elasticity of demand in the
business?
(10)
b)
Define underemployment & Unemployment &
briefly discuss effects of Unemployment on economy &
society.
(10)
a)
Enlist & explain various indicators of economic
development.
(10)
b)
Discuss the role of Savings & Investment in Indian
economy & it's growth
(10)
1
Q6.
Q7.
a)
Enlist various features / characteristics of Indian
Economy.
(10)
b)
Discuss about the contribution of Co-operative movement
in shaping Agricultural & agro-processing sector of Indian
Economy.
(10)
a)
List characteristics of Micro, Small, Medium & Large scale
industries & their impact on employment & Economic
development of India.
(10)
b)
State importance of government policies & it's execution
reg. Technology and Communication, Power,
Transportation, Infrastructure for overall economic
development of India.
(10)
———— × ————
2