Production and Industrial Engineering
GATE PI topic:industrial-engineering PYQs
Build your understanding with focused practice from past exam papers.
Questions 621–630 of 650. Imported answers require independent review unless marked reviewed.
Question 36
Open questionPIMCQ2 marksNeeds review
A schematic diagram of peripheral milling is shown in the Figure.
If
is the depth of cut and
is the diameter of the milling cutter, then the length of approach (
) is expressed asYour answerChoose one option.
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Open questionPIMCQ2 marksNeeds review
An electrical appliances showroom sells 2,400 ceiling fans in one year (52 weeks). The holding cost is 10 % of the cost of the ceiling fan. The cost of one ceiling fan is Rs. 600. The cost incurred for placing an order is Rs. 201. There is a lead time of 5 weeks. The economic order quantity (EOQ) and the reorder level, respectively (rounded to the next higher integer) are
Your answerChoose one option.
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Open questionPINAT2 marksNeeds review
In a calendar year, the demand forecast of motorbikes for the month of June is 200. The actual demand of motorbikes for the month of June and July are 300 and 350, respectively. If single exponential smoothing method with smoothing constant 0.7 is used, then the demand forecast for the month of August is
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Open questionPINAT2 marksNeeds review
In a project, tasks A, B, C, D, E, F, G, H, I and J are to be performed. The precedence relationships and the time required (in days) to complete the tasks are given in the Table.
Tasks | A | B | C | D | E | F | G | H | I | J |
|---|---|---|---|---|---|---|---|---|---|---|
Time (days) | 8 | 10 | 8 | 10 | 16 | 17 | 18 | 14 | 9 | 4 |
Preceding tasks | - | - | - | A | A | B, D | C | C | F, G | E, I, H |
The time required (in days) to complete the project along the critical path is
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Open questionPINAT2 marksNeeds review
The potential production alternatives for manufacturing a product along with their unit cost and monthly capacity are given in the Table.
S. No. | Production Alternatives | Unit cost (Rs.) | Capacity / month |
|---|---|---|---|
1 | Regular time production | 5 | 300 |
2 | Overtime production | 6 | 200 |
3 | Subcontracting | 10 | 500 |
The inventory at the end of July is 100 units. If the demand for the month of August is 620, then the minimum total cost (in Rs.) to meet the demand is
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Open questionPIMCQ2 marksNeeds review
The preparatory and miscellaneous codes used in CNC part programming and the functions are given in the Table.
Group I | Group II |
|---|---|
P. G01 | 1. Circular interpolation, counter-clock wise |
Q. G03 | 2. End of program |
R. M06 | 3. Tool change |
S. M02 | 4. Linear interpolation |
The correct combination of code and the respective function is
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Open questionPINAT2 marksNeeds review
A surface of 30 mm × 30 mm of an iron block is machined using electrochemical machining process. The atomic weight and valency of iron is 55.85 and 2, respectively. The density of iron is 7,860 kg/m
. If input current is 1,000 A and Faraday’s constant is 96,540 Coulombs, then the feed rate (in mm/min) is (up to two decimal places).Log in to check the answer
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Open questionPINAT2 marksNeeds review
Quality control department of a company maintains ‘c’ chart to assess the quality of laptops. In this process, twenty laptops are examined randomly. The number of nonconformities observed per laptop is given in the Table.
Laptop number | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 | 11 | 12 | 13 | 14 | 15 | 16 | 17 | 18 | 19 | 20 |
|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|---|
Number of nonconformities | 1 | 3 | 7 | 4 | 10 | 6 | 1 | 5 | 4 | 3 | 6 | 4 | 2 | 7 | 4 | 2 | 9 | 8 | 5 | 2 |
Based on the data, the upper control limit for the ‘c’ chart is (up to two decimal places).
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Open questionPIMCQ2 marksNeeds review
The Merchant circle diagram showing values forces associated with a cutting process using a wedge-shaped tool is given in the Figure.
The coefficient of friction can be estimated from the ratio
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Open questionPINAT2 marksNeeds review
An air conditioner unit is expected to run continuously. The mean time between failures (MTBF) for this unit is 2,000 hours and the mean time to repair (MTR) is 48 hours. The availability of the air conditioning unit is (up to three decimal places).
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