GATE PI topic:industrial-engineering PYQs & Answers — Page 64

Questions 631–640 of 650. Imported answers require independent review unless marked reviewed.

A firm manufactures capacitors using a specialized process. The desired specification for the capacitance is 40 ± 10 picofarads (pF). The process used is in statistical control. If the process mean is 41 pF and the estimated standard deviation is 3 pF, then the process capability index

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A metallic strip having a thickness of 12 mm is to be rolled using two steel rolls, each of 800 mm diameter. It is assumed that there is no change in width of the strip during rolling. In order to achieve 10% reduction in cross-sectional area of the strip after rolling, the angle subtended (in degrees) by the deformation zone at the center of the roll is

Your answerChoose one option.

1.84

3.14

6.84

8.23

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An electron beam welding process uses 15 mA beam current at an accelerating voltage of 150 kV. The energy released per second by the beam (in J) is (up to one decimal place). (1 Ampere = 6.28 × 10

electrons per second, 1 eV = 1.6 × 10

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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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In a numerical control (NC) machine positioning system, the measures of precision are expressed by considering a single axis as shown in the Figure.

Diagram for Production and Industrial Engineering question 52

is standard deviation of the error distribution, then

and

are

Your answerChoose one option.

= Accuracy,

= Repeatability,

= Control resolution

= Repeatability,

= Accuracy,

= Control resolution

= Control resolution,

= Repeatability,

= Accuracy

= Accuracy,

= Control resolution,

= Repeatability

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In a machining operation with turning tool, the tool life (

) is related to cutting speed

(m/s), feed

(mm) and depth of cut

(mm) as

where, C is a constant. The suggested values for the cutting parameters are:

= 1.5 m/s,

= 0.25 mm and

= 3 mm for normal rough turning. If the operation is performed at twice the cutting speed and the other parameters remain unchanged, the corresponding percentage change in tool life is __________.

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The annual demand of wrist watches produced on an assembly line is 1,03,125 units. The line operates 50 weeks/year, 5 shifts/week and 7.5 hours/shift. The uptime efficiency of the line is 99%. The cycle time (

) of the assembly line (in minutes/unit) is __________ (up to two decimal places).

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In a gear manufacturing company, three orders P, Q and R are to be processed on a hobbing machine. The orders were received in the sequence P – Q – R. The Table indicates the process time remaining and production calendar due date for each order.

Order	Process Time Remaining (day)	Due date
P	4	Day 20
Q	16	Day 30
R	6	Day 19

Considering today as the Day 10 in the production calendar of the Hobbing Shop, the sequence of the orders scheduled using the ‘Critical Ratio’ rule is

Your answerChoose one option.

P – Q – R

P – R – Q

Q – P – R

Q – R – P

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GATE PI topic:industrial-engineering PYQs

Question 46

Question 47

Question 48

Question 49

Question 50

Question 51

Question 52

Question 53

Question 54

Question 55