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January 2026 term · Industry 4.0 · BSMS4001

Industry 4.0 Quiz 2: 12 April 2026 (January 2026 term)

The IIT Madras BS Industry 4.0 (Industry 4.0) Quiz 2 paper sat on 12 Apr 2026, in the January 2026 term: 21 questions for 23 marks in 120 minutes. Every question is below with its answer. Take it as a timed mock test to be marked, or read it through first.

Questions
21
Marks
23
Duration
120 min
MCQ
8
MSQ
2
Written
11

Updated

Official paper: Industry 4.0 07 Apr 26 · No negative marking.

Question 1

+1 markOne correct option

Choose the correct category in Column B for the costs in Column A

Choose the correct category in Column B for the costs in Column A
  1. A

    (1): (b), (2): (c), (3): (a)

  2. B

    (1) : (c), (2) : (b), (3) : (a)

  3. C

    (1) : (a), (2) : (b), (3) : (c)

Show answer

Correct answer

  • A

    (1): (b), (2): (c), (3): (a)

Question 2

+1 markOne correct option

Pranjal is shopping in a departmental store. He has a list of items which he prepared at home itself. He picked a few packets of tea as part of his list. He could see coffee packets and milk-powder packets in the neighbouring shelves. He picked a few milk-powder packets, however these are not part of his list. He was searching for Good-day biscuits. He could identify only one packet in the shelf remaining. However, there were lot of Sun-fist biscuits lying in the next shelf. So he picked ten Sun-fist packets. Now map the scenarios with the items below:

Pranjal is shopping in a departmental store. He has a list of items which he prepared at home itself. He picked a few pa
  1. A

    P1-S1, P2-S3, P3-S4

  2. B

    P1-S2, P2-S1, P3-S3

  3. C

    P1-S2, P2-S1, P3-S4

Show answer

Correct answer

  • B

    P1-S2, P2-S1, P3-S3

Question 3

+1 markOne correct option

Which of the following examples can be referred as cyclic pattern?

  1. A

    Economic recission

  2. B

    Increases Ceiling Fan sales during winters

  3. C

    Increased tourist footfall towards the end of the year

Show answer

Correct answer

  • A

    Economic recission

Question 4

+1 markOne correct option

Suppose, you are responsible for material purchase in an organization. You have demand forecast of a product for next four weeks which are 3, 4, 2 and 4 units respectively. You need to purchase one type of raw material to produce the final product to meet the above demand. Consider, one unit of the final product requires one unit of this raw material. Whenever an order is placed, your organization needs to incur a cost of 4irrespectiveofthequantityordered.Purchasingcostoftherawmaterialis4 irrespective of the quantity ordered. Purchasing cost of the raw material is 2 per unit. Holding cost of an item not gone for production at the end of a week is $0.5 per week. You can order a maximum of 5 units in a week and the warehouse has capacity to store upto 4 units of inventory in a week. Note that you need to meet the demand in every week. Solve the above problem using dynamic programming ( backward recursion) and answer the given sub-questions for this problem.

What does the state variable represent?

  1. A

    How many units of the raw material needs to be purchased in a week

  2. B

    Ending inventory with the warehouse in each week

  3. C

    Beginning inventory with the warehouse in each week

Show answer

Correct answer

  • C

    Beginning inventory with the warehouse in each week

Question 5

+1 markOne correct option

Suppose, you are responsible for material purchase in an organization. You have demand forecast of a product for next four weeks which are 3, 4, 2 and 4 units respectively. You need to purchase one type of raw material to produce the final product to meet the above demand. Consider, one unit of the final product requires one unit of this raw material. Whenever an order is placed, your organization needs to incur a cost of 4irrespectiveofthequantityordered.Purchasingcostoftherawmaterialis4 irrespective of the quantity ordered. Purchasing cost of the raw material is 2 per unit. Holding cost of an item not gone for production at the end of a week is $0.5 per week. You can order a maximum of 5 units in a week and the warehouse has capacity to store upto 4 units of inventory in a week. Note that you need to meet the demand in every week. Solve the above problem using dynamic programming ( backward recursion) and answer the given sub-questions for this problem.

What does the action set represent?

  1. A

    How many units of the raw material needs to be purchased in a week

  2. B

    Ending inventory with the warehouse in each week

  3. C

    Beginning inventory with the warehouse in each week

Show answer

Correct answer

  • A

    How many units of the raw material needs to be purchased in a week

Question 6

+1.5 marksOne or more correct options

Select the cost(s) from the following list which contribute(s) to the shortage cost:

Select all that apply.

  1. A

    Loss of customer goodwill

  2. B

    Loss due to customer return

  3. C

    Cost of losing a customer

  4. D

    Loss of profit associated with not delivering the product

Show answer

Correct answers

  • A

    Loss of customer goodwill

  • C

    Cost of losing a customer

  • D

    Loss of profit associated with not delivering the product

Question 7

+1.5 marksOne or more correct options

Select the assumptions for single period newsvendor model.

Select all that apply.

  1. A

    Products are separable

  2. B

    Demand is deterministic

  3. C

    Inventory decision or deliveries are made before the demand is realized

  4. D

    Overstocking and Understocking costs are linear to the quantities

Show answer

Correct answers

  • A

    Products are separable

  • C

    Inventory decision or deliveries are made before the demand is realized

  • D

    Overstocking and Understocking costs are linear to the quantities

Question 8

+1.5 marksOne correct option

Match the following columns by selecting the correct name from Column B for the labels in column A which are depicted in the ‘Figure: EOQ model’ below:

Match the following columns by selecting the correct name from Column B for the labels in column A which are depicted in
Match the following columns by selecting the correct name from Column B for the labels in column A which are depicted in
  1. A

    A:Cost; B:Quantity; C:Total Cost; D:Carrying cost; E:Order cost; F:EOQ(Q*)

  2. B

    A:Cost; B:Quantity; C:Total cost; D:Order cost; E:Carrying cost; F:EOQ(Q*)

  3. C

    A:Quantity; B:Cost; C:Total Cost; D:Carrying cost; E:Order cost; F:EOQ(Q*)

  4. D

    A:Total cost; B:EOQ(Q*); C:Cost; D:Order cost; E:Carrying cost; F:Quantity

Show answer

Correct answer

  • B

    A:Cost; B:Quantity; C:Total cost; D:Order cost; E:Carrying cost; F:EOQ(Q*)

Question 9

+1.5 marksOne correct option

Which of the following model corresponds to Exponential Smoothing forecasting model?

  1. A
    Figure from the original question paper
  2. B
    Figure from the original question paper
Show answer

Correct answer

  • A
    Figure from the original question paper

Question 10

+1 markWritten answer
Figure from the original question paper
Figure from the original question paper
Show answer

A written answer, not marked automatically.

Question 11

+1 markWritten answer

Ramu puts up a stall for Diwali Light (Diya) every year. He builds a Diya at a cost of Rs. 1 and earns Rs.2 by selling each Diya. Any Diya not sold by Diwali will be discounted to 50 Paisa. From his experience, Ramu knows that the demand is Uniformly Distributed within [800, 1000] units. Then answer the given subquestions:

What is the Critical Ratio? (round off your answer to two decimal places)

Show answer

A written answer, not marked automatically.

Question 12

+1 markWritten answer

Ramu puts up a stall for Diwali Light (Diya) every year. He builds a Diya at a cost of Rs. 1 and earns Rs.2 by selling each Diya. Any Diya not sold by Diwali will be discounted to 50 Paisa. From his experience, Ramu knows that the demand is Uniformly Distributed within [800, 1000] units. Then answer the given subquestions:

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

Show answer

A written answer, not marked automatically.

Question 13

+1 markOne correct option

Ramu puts up a stall for Diwali Light (Diya) every year. He builds a Diya at a cost of Rs. 1 and earns Rs.2 by selling each Diya. Any Diya not sold by Diwali will be discounted to 50 Paisa. From his experience, Ramu knows that the demand is Uniformly Distributed within [800, 1000] units. Then answer the given subquestions:

If the cost of overstocking is less than the cost of understocking, where will the optimal order quantity lies in the interval [800, 1000] units?

  1. A

    Toward left of the mean of uniform distribution [800,1000]

  2. B

    At the mean of uniform distribution [800,1000]

  3. C

    Towards right of the mean of uniform distribution [800,1000]

Show answer

Correct answer

  • C

    Towards right of the mean of uniform distribution [800,1000]

Question 14

+1 markWritten answer

LIMAT Co. requires 1500 units of plastic ribbon per month. Each plastic ribbon costs Rs. 27 in the market. Placing an order costs Rs. 150 to Slipline Co. and the inventory carrying charges work out to 20% of the unit ribbon cost per year. Calculate the given subquestions:

What should be the order quantity which minimizes the total cost to LIMAT Co.

Show answer

A written answer, not marked automatically.

Question 15

+1 markWritten answer

LIMAT Co. requires 1500 units of plastic ribbon per month. Each plastic ribbon costs Rs. 27 in the market. Placing an order costs Rs. 150 to Slipline Co. and the inventory carrying charges work out to 20% of the unit ribbon cost per year. Calculate the given subquestions:

What is the number of orders per year?

Show answer

A written answer, not marked automatically.

Question 16

+1 markWritten answer

LIMAT Co. requires 1500 units of plastic ribbon per month. Each plastic ribbon costs Rs. 27 in the market. Placing an order costs Rs. 150 to Slipline Co. and the inventory carrying charges work out to 20% of the unit ribbon cost per year. Calculate the given subquestions:

What is the annual order cost?

Show answer

A written answer, not marked automatically.

Question 17

+1 markWritten answer

LIMAT Co. requires 1500 units of plastic ribbon per month. Each plastic ribbon costs Rs. 27 in the market. Placing an order costs Rs. 150 to Slipline Co. and the inventory carrying charges work out to 20% of the unit ribbon cost per year. Calculate the given subquestions:

What is the average inventory in the system?

Show answer

A written answer, not marked automatically.

Question 18

+1 markWritten answer

LIMAT Co. requires 1500 units of plastic ribbon per month. Each plastic ribbon costs Rs. 27 in the market. Placing an order costs Rs. 150 to Slipline Co. and the inventory carrying charges work out to 20% of the unit ribbon cost per year. Calculate the given subquestions:

What is the annual inventory carrying cost?

Show answer

A written answer, not marked automatically.

Question 19

+1 markWritten answer

Suppose, you are responsible for material purchase in an organization. You have demand forecast of a product for next four weeks which are 3, 4, 2 and 4 units respectively. You need to purchase one type of raw material to produce the final product to meet the above demand. Consider, one unit of the final product requires one unit of this raw material. Whenever an order is placed, your organization needs to incur a cost of 4irrespectiveofthequantityordered.Purchasingcostoftherawmaterialis4 irrespective of the quantity ordered. Purchasing cost of the raw material is 2 per unit. Holding cost of an item not gone for production at the end of a week is $0.5 per week. You can order a maximum of 5 units in a week and the warehouse has capacity to store upto 4 units of inventory in a week. Note that you need to meet the demand in every week. Solve the above problem using dynamic programming ( backward recursion) and answer the given sub-questions for this problem.

Show answer

A written answer, not marked automatically.

Question 20

+1 markWritten answer

Ramu puts up a stall for Diwali Light (Diya) every year. He builds a Diya at a cost of Rs. 1 and earns Rs.2 by selling each Diya. Any Diya not sold by Diwali will be discounted to 50 Paisa. From his experience, Ramu knows that the demand is Uniformly Distributed within [800, 1000] units. Then answer the given subquestions:

Show answer

A written answer, not marked automatically.

Question 21

+1 markWritten answer

LIMAT Co. requires 1500 units of plastic ribbon per month. Each plastic ribbon costs Rs. 27 in the market. Placing an order costs Rs. 150 to Slipline Co. and the inventory carrying charges work out to 20% of the unit ribbon cost per year. Calculate the given subquestions:

Show answer

A written answer, not marked automatically.