GATE PI 2017 Paper 1 — page 17

Complete GATE PI 2017 Paper 1 overview, original pages and practice · Timed previous-paper practice

Questions 49–51 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 17 of 22

In a machine shop, four jobs need to be assigned to four different machines. Each of the jobs is to be assigned to one machine only at a time. The time taken to complete the job in different machines is given in the Table.

Jobs / Machines	M₁	M₂	M₃	M₄
J₁	15	13	14	17
J₂	11	12	15	13
J₃	13	12	10	11
J₄	15	17	14	16

In order to ensure that the total time required to complete all the jobs is minimum, the optimal assignment of the job is

Your answerChoose one option.

J₁⇒M₄, J₂⇒M₂, J₃⇒M₃, J₄⇒M₁

J₁⇒M₂, J₂⇒M₁, J₃⇒M₄, J₄⇒M₃

J₁⇒M₂, J₂⇒M₁, J₃⇒M₃, J₄⇒M₄

J₁⇒M₄, J₂⇒M₂, J₃⇒M₁, J₄⇒M₃

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A hose coupling manufacturing company has production capacity of 2,500 units per year. The unit selling price of the item is Rs. 150. The fixed cost of production is Rs. 80,000 and variable cost of production per unit is Rs. 70. If the company wishes to achieve a profit of Rs. 20,000 during the calendar year, then the minimum quantity to be produced is

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Schematic diagram of pouring basin and sprue of a gating system is shown in the Figure.

Diagram for Production and Industrial Engineering question 51

Depth of molten metal in the pouring basin is 100 mm and the height of the sprue is 1,500 mm. Considering the cross-section of the sprue is circular, the ratio

to avoid aspiration is

Your answerChoose one option.

3:2

5:6

15:16

1:2

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2017 · Paper 1

Question 49

Question 50

Question 51