GATE PI topic:manufacturing PYQs & Answers — Page 33

Questions 321–330 of 650. Imported answers require independent review unless marked reviewed.

A machine component is to be processed at 5 workstations sequentially. The table provides the cycle time (in second) of each workstation. In mass production, the number of components produced per hour (in steady state) is____________. [in integer]

Workstation | Cycle time of each workstation (second) WS-1 | 85 WS-2 | 55 WS-3 | 90 WS-4 | 65 WS-5 | 70

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A vaccine has to be distributed from two warehouses to three hospitals. The supplies at warehouses W₁ and W₂ are 200 and 150, respectively. The demands at hospitals H₁, H₂, and H₃ are 100, 150 and 125, respectively. The transportation cost (in ₹) per vaccine is as follows:

| | H₁ | H₂ | H₃ | | W₁ | 5 | 7 | 3 | | W₂ | 4 | 6 | 7 |

The initial basic feasible solution using the Northwest-corner method provides the total transportation cost (in ₹) as____________. [round off to nearest integer]

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Consider the linear programming problem:

Maximize

subject to

(C₁)

(C₂)

(C₃)

The optimal solution is given as

and

. The dual variables of constraints C₁, C₂ and C₃ are

and

, respectively. The optimal values of dual variables are

and

. The value of parameter P in the objective function is____________. [round off to one decimal place]

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A company is planning to produce 24 electric cars per day. The setup cost of the plant is estimated as ₹ 1476 million and the variable cost is ₹ 0.6 million per car. The car will be sold at a price of ₹ 1.5 million. The number of days required for achieving the breakeven is____________. [round off to nearest integer]

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A company forecasts the weekly demand of oxygen cylinders using exponential smoothing method with smoothing constant

. The actual demands in Week 1, Week 2, Week 3 and Week 4 were 375, 412, 592 and 439 units, respectively. The forecasted demand for Week 3 was 500 units. The forecast (in unit) for the Week 5 is____________. [in integer]

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The current population of a city is 11,02,500. If it has been increasing at the rate of 5% per annum, what was its population 2 years ago?

Your answerChoose one option.

9,92,500

9,95,006

10,00,000

12,51,506

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and

are positive integers and

, then,

Your answerChoose one option.

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Diagram for Production and Industrial Engineering question 3

The least number of squares that must be added so that the line P-Q becomes the line of symmetry is ________

Your answerChoose one option.

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Nostalgia is to anticipation as ______ is to ______ Which one of the following options maintains a similar logical relation in the above sentence?

Your answerChoose one option.

Present, past

Future, past

Past, future

Future, present

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Consider the following sentences: (i) I woke up from sleep. (ii) I woked up from sleep. (iii) I was woken up from sleep. (iv) I was woken up from sleep. Which of the above sentences are grammatically CORRECT?

Your answerChoose one option.

(i) and (ii)

(i) and (iii)

(ii) and (iii)

(i) and (iv)

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GATE PI topic:manufacturing PYQs

Question 61

Question 62

Question 63

Question 64

Question 65

Question 1

Question 2

Question 3

Question 4

Question 5