Match Column A with Column B (country of origin) Match Column A with Column B (country of origin)

(D) A1:B3, A2:B1, A3: B2, A4:B4

What is the name of the forecasting method represented by the following set of equations? The notations have their usual meaning. What is the name of the forecasting method represented by the following set of equations? The notations have their usual

(B) Winter’s model for seasonality

Industry 4.0 End Term PYQ Jan 2026: 10 May 2026 · IITM BS

Question 1

+1 markOne correct option

Suppose you want to invest $4000 now and$ 2000 at the start of years 2 to 4. The interest rate offered by First Bank is 8% compounded annually, and the bonuses over the next 4 years are 1.8%, 1.7%, 2.1% and 2.5%, respectively. The annual interest rate offered by Second Bank is 0.2% lower than that of First Bank, but its bonus is 0.5% higher. The objective is to maximize the accumulated capital at the end of 4 years. If you apply Dynamic Programming to this problem, answer the given subquestions:

How is a stage represented by?

A
Year
B
Capital available for investment at the start of a year
C
Amounts invested in First Bank
D
Amounts invested in First Bank and Second Bank

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Correct answer

A
Year

Question 1 on its own pageAlso asked in End Term 1 Sept 2024, End Term 1 Sept 2024

Question 2

+1 markOne correct option

Suppose you want to invest $4000 now and$ 2000 at the start of years 2 to 4. The interest rate offered by First Bank is 8% compounded annually, and the bonuses over the next 4 years are 1.8%, 1.7%, 2.1% and 2.5%, respectively. The annual interest rate offered by Second Bank is 0.2% lower than that of First Bank, but its bonus is 0.5% higher. The objective is to maximize the accumulated capital at the end of 4 years. If you apply Dynamic Programming to this problem, answer the given subquestions:

What are the alternatives in a stage?

A
Year
B
Capital available for investment at the start of a year
C
Amounts invested in First Bank in a year
D
Amounts invested in First Bank and Second Bank in a year

Show answer

Correct answer

D
Amounts invested in First Bank and Second Bank in a year

Question 2 on its own pageAlso asked in End Term 1 Sept 2024, End Term 1 Sept 2024

Question 3

+1 markOne correct option

Suppose you want to invest $4000 now and$ 2000 at the start of years 2 to 4. The interest rate offered by First Bank is 8% compounded annually, and the bonuses over the next 4 years are 1.8%, 1.7%, 2.1% and 2.5%, respectively. The annual interest rate offered by Second Bank is 0.2% lower than that of First Bank, but its bonus is 0.5% higher. The objective is to maximize the accumulated capital at the end of 4 years. If you apply Dynamic Programming to this problem, answer the given subquestions:

How state variable is defined for this problem?

A
Year
B
Capital available for investment at the start of a year
C
Amounts invested in First Bank in a year
D
Amounts invested in First Bank and Second Bank in a year

Show answer

Correct answer

B
Capital available for investment at the start of a year

Question 3 on its own pageAlso asked in End Term 1 Sept 2024, End Term 1 Sept 2024

Question 4

+1 markWritten answer

Consider the following precedence diagram. It has 12 activities. The numbers in blue and within the braces denote the respective activity times in minutes. Answer the 3 subquestions based on the given diagram.

What is the minimum cycle time (in minutes) of the system?

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Question 5

+1 markWritten answer

Consider the following precedence diagram. It has 12 activities. The numbers in blue and within the braces denote the respective activity times in minutes. Answer the 3 subquestions based on the given diagram.

What is the maximum cycle time (in minutes) of the system?

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Question 5 on its own page

Question 6

+1 markOne correct option

Consider the following precedence diagram. It has 12 activities. The numbers in blue and within the braces denote the respective activity times in minutes. Answer the 3 subquestions based on the given diagram.

The factory works for one 8-hour shift each day. Is it possible to achieve an output of 32 units/day

A
Yes
B
No

Show answer

Correct answer

A
Yes

Question 6 on its own page

Question 7

+1.5 marksWritten answer

Suppose you need to accept reservations for a flight. There are a total of 100 seats on the aircraft. You have two classes of passengers: economy and business. An economy seat generates ₹2,500 in revenue, while a business seat generates ₹7,500. Based on your experience, the demand for business travellers follows a uniform distribution between 10 and 20. Answer the given subquestions:

What is the Booking limit?

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Question 8

+1.5 marksWritten answer

Suppose you need to accept reservations for a flight. There are a total of 100 seats on the aircraft. You have two classes of passengers: economy and business. An economy seat generates ₹2,500 in revenue, while a business seat generates ₹7,500. Based on your experience, the demand for business travellers follows a uniform distribution between 10 and 20. Answer the given subquestions:

What is the protection level?

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Question 9

+1 markWritten answer

Ramu puts up a stall for Diwali Light (Diya) every year. He builds a Diya at a cost of Rs. 3 and earns Rs.5 by selling each Diya. Any Diya not sold by Diwali will be discounted to Rs. 1. From his experience, Ramu knows that the demand is Uniformly Distributed within [800, 1000] units. Then answer the given sub-questions:

What is the Critical Ratio?

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Question 10

+1 markWritten answer

Ramu puts up a stall for Diwali Light (Diya) every year. He builds a Diya at a cost of Rs. 3 and earns Rs.5 by selling each Diya. Any Diya not sold by Diwali will be discounted to Rs. 1. From his experience, Ramu knows that the demand is Uniformly Distributed within [800, 1000] units. Then answer the given sub-questions:

What is the optimal order quantity that minimizes Ramu’s total cost?

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Question 11

+1 markWritten answer

A fashion retailer sells a limited-edition jacket for winter. The demand is normally distributed with a mean of 300 units and a standard deviation of 50 units. The cost price of each jacket is ₹1,500, and the selling price is ₹3,000. Unsold jackets can be returned for ₹1,200 per unit. Based on the above data, answer the given subquestions.

What is the critical ratio? Round off your answer to two decimals.

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Question 12

+1 markWritten answer

A fashion retailer sells a limited-edition jacket for winter. The demand is normally distributed with a mean of 300 units and a standard deviation of 50 units. The cost price of each jacket is ₹1,500, and the selling price is ₹3,000. Unsold jackets can be returned for ₹1,200 per unit. Based on the above data, answer the given subquestions.

What is the optimal order quantity (z-value= 0.97)

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Question 13

+2 marksWritten answer

A fashion retailer sells a limited-edition jacket for winter. The demand is normally distributed with a mean of 300 units and a standard deviation of 50 units. The cost price of each jacket is ₹1,500, and the selling price is ₹3,000. Unsold jackets can be returned for ₹1,200 per unit. Based on the above data, answer the given subquestions.

If the retailer orders 350 jackets, what is the probability of a stockout? Enter your answer to three decimals in numbers (not in percentage). E.g.if your answer is 18.34%, enter the answer as 0.183 (Norm.s.dist for this z-value= 0.8413)

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Question 14

+2 marksWritten answer

Colony Shop is stocking heavy coats for next winter. Colony pays $50 for coat and sells it for$ 110. At the end of the winter season, Colony Shop offers the coats at $55 each. The demand for coats during the winter season is more than 20 but less than or equal to 30, all with equal probabilities. Determine the optimal order quantity that will maximize revenue for Colony Shop. Consider demand to be continuous.

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Question 15

+2 marksWritten answer

Find the Euclidean distance between the points P(2, -1, 5) and Q(-3, 4, 2) in 3D space.

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Question 15 on its own page

Question 16

+3 marksOne or more correct options

Select the appropriate purposes of facility layout from the list below:

Select all that apply.

A
minimize delay in material handling
B
enhance sales as appropriate in manufacturing and service facilities.
C
Provide for good maintenance
D
Funding a new project

Show answer

Correct answers

A
minimize delay in material handling
B
enhance sales as appropriate in manufacturing and service facilities.
C
Provide for good maintenance

Question 16 on its own pageAlso asked in End Term 1 Sept 2024, End Term 1 Sept 2024

Question 17

+2 marksOne or more correct options

Which of the following is/are considered in the Vehicle Routing Problem but not in TSP?

Select all that apply.

A
Subtour elimination
B
Any capacity restrictions
C
A specific starting point
D
Distance travelled restriction

Show answer

Correct answers

B
Any capacity restrictions
C
A specific starting point

Question 17 on its own page

Question 18

+2 marksOne or more correct options

Select the correct statements from below:

Select all that apply.

A
Optimal solution in a facility location problem using Euclidean method will result in a region
B
Optimal solution in a facility location problem using Euclidean method rarely matches the center of gravity
C
Optimal solution in a facility location problem using Euclidean method will result in a point
D
Optimal solution in a facility location problem using Euclidean method matches the centre of gravity in not of the cases

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Correct answers

B
Optimal solution in a facility location problem using Euclidean method rarely matches the center of gravity
C
Optimal solution in a facility location problem using Euclidean method will result in a point

Question 18 on its own pageAlso asked in End Term 24 Dec 2023

Question 19

+2 marksOne or more correct options

Which of the following example(s) can be referred to as seasonal pattern?

Select all that apply.

A
Economic recission
B
Increases Ceiling Fan sales during winters
C
Increased tourist footfall towards the end of the year

Show answer

Correct answers

B
Increases Ceiling Fan sales during winters
C
Increased tourist footfall towards the end of the year

Question 19 on its own page

Question 20

+2 marksOne or more correct options

Identify the examples for Outsourcing from the list below:

Select all that apply.

A
Concentrix manages customer service for Amazon .
B
Mastercard has set up a Data Science team in Gurgaon who will develop algorithm for Mastercard.
C
IIT Madras BS degree program has assigned TCS to create and manage the exam portal and its evaluation
D
Micron Technology, a US based semiconductor giant, setting up a Supply Chain Analytics team, in India.

Show answer

Correct answers

A
Concentrix manages customer service for Amazon .
C
IIT Madras BS degree program has assigned TCS to create and manage the exam portal and its evaluation

Question 20 on its own page

Question 21

+2 marksOne or more correct options

Which of the following supply chain costs is/are affected by distribution network structure?

Select all that apply.

A
Inventory
B
Transportation
C
Facilities and handling
D
Information
E
Price

Show answer

Correct answers

A
Inventory
B
Transportation
C
Facilities and handling
D
Information

Question 21 on its own pageAlso asked in End Term 24 Dec 2023, End Term 24 Dec 2023, End Term 1 Sept 2024, End Term 1 Sept 2024 and 3 more

Question 22

+1 markOne correct option

What is First Mile in a supply chain?

A
Movements from Vendor to Distribution centres
B
Movements from Distribution centres to stores
C
Movements from stores to customers

Show answer

Correct answer

A
Movements from Vendor to Distribution centres

Question 22 on its own pageAlso asked in End Term 24 Dec 2023

Question 23

+1 markOne correct option

Identify the Industry 4.0 version of transportation.

A
IC engine
B
Electric car
C
Hyperloop

Show answer

Correct answer

C
Hyperloop

Question 23 on its own pageAlso asked in Quiz 1 26 Feb 2023, Quiz 1 26 Feb 2023, Quiz 1 26 Feb 2023, Quiz 1 29 Oct 2023 and 4 more

Question 24

+2 marksOne correct option

Match Column A with Column B (country of origin)

A
A1:B1, A2:B2, A3:B3, A4:B4
B
A1:B2, A2:B1, A3:B3, A4:B4
C
A1:B3, A2:B1, A3:B4, A4:B2
D
A1:B3, A2:B1, A3: B2, A4:B4

Show answer

Correct answer

A
A1:B1, A2:B2, A3:B3, A4:B4

Question 24 on its own page

Question 25

+2 marksOne correct option

Select the layout that do not require general supervision:

A
Product layout
B
Process layout
C
Group layout
D
Fixed position layout

Show answer

Correct answer

B
Process layout

Question 25 on its own page

Question 26

+2 marksOne correct option

What is the name of the forecasting method represented by the following set of equations? The notations have their usual meaning.

A
Exponential smoothing
B
Winter’s model for seasonality
C
Holt’s method for trend
D
None of these

Show answer

Correct answer

C
Holt’s method for trend

Question 26 on its own page

Question 27

+2 marksOne correct option

Which of the following is not an example of digitization?

A
Creating the e-copy of a book using Google-Lens
B
Generating an automated daily sales report across the retail outlets in a state.
C
Converting a physical 2D sheet to CAD drawing
D
Converting physical invoice to e-copy

Show answer

Correct answer

B
Generating an automated daily sales report across the retail outlets in a state.

Question 27 on its own pageAlso asked in End Term 24 Dec 2023, End Term 1 Sept 2024, End Term 1 Sept 2024, End Term 13 Apr 2025 and 3 more

Question 28

+1.5 marksOne correct option

Which of the following functions does Logistics Management not cover?

A
Supply Management
B
Materials Management
C
Customer Management
D
Distribution Management

Show answer

Correct answer

C
Customer Management

Question 28 on its own pageAlso asked in End Term 13 Apr 2025, End Term 13 Apr 2025, End Term 13 Apr 2025, End Term 13 Apr 2025

Question 29

+1.5 marksOne correct option

Which of the following is not a form of internet?

A
Industrial
B
Commercial
C
Philanthropic
D
Consumer

Show answer

Correct answer

C
Philanthropic

Question 29 on its own pageAlso asked in End Term 24 Dec 2023, End Term 13 Apr 2025, End Term 13 Apr 2025, End Term 13 Apr 2025 and 1 more

Question 30

+1 markWritten answer

Suppose you want to invest $4000 now and$ 2000 at the start of years 2 to 4. The interest rate offered by First Bank is 8% compounded annually, and the bonuses over the next 4 years are 1.8%, 1.7%, 2.1% and 2.5%, respectively. The annual interest rate offered by Second Bank is 0.2% lower than that of First Bank, but its bonus is 0.5% higher. The objective is to maximize the accumulated capital at the end of 4 years. If you apply Dynamic Programming to this problem, answer the given subquestions:

Show answer

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Question 30 on its own page

Question 31

+1 markWritten answer

Consider the following precedence diagram. It has 12 activities. The numbers in blue and within the braces denote the respective activity times in minutes. Answer the 3 subquestions based on the given diagram.

Show answer

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Question 31 on its own page

Question 32

+1 markWritten answer

Suppose you need to accept reservations for a flight. There are a total of 100 seats on the aircraft. You have two classes of passengers: economy and business. An economy seat generates ₹2,500 in revenue, while a business seat generates ₹7,500. Based on your experience, the demand for business travellers follows a uniform distribution between 10 and 20. Answer the given subquestions:

Show answer

A written answer, not marked automatically.

Question 32 on its own page

Question 33

+1 markWritten answer

Ramu puts up a stall for Diwali Light (Diya) every year. He builds a Diya at a cost of Rs. 3 and earns Rs.5 by selling each Diya. Any Diya not sold by Diwali will be discounted to Rs. 1. From his experience, Ramu knows that the demand is Uniformly Distributed within [800, 1000] units. Then answer the given sub-questions:

Show answer

A written answer, not marked automatically.

Question 33 on its own page

Question 34

+1 markWritten answer

A fashion retailer sells a limited-edition jacket for winter. The demand is normally distributed with a mean of 300 units and a standard deviation of 50 units. The cost price of each jacket is ₹1,500, and the selling price is ₹3,000. Unsold jackets can be returned for ₹1,200 per unit. Based on the above data, answer the given subquestions.

Show answer

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Question 34 on its own page