GATE PI topic:manufacturing PYQs & Answers — Page 24

Questions 231–240 of 650. Imported answers require independent review unless marked reviewed.

Given,

, where

and

. All the variables are real. The total differential

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Two cards are drawn one after the other from a regular deck of 52 playing cards without replacement. The probability that the drawn cards are of different suits is

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Match the machine elements with their functions.

Machine element: P—Collet; Q—Dividing head; R—Lead screw.

Function: 1—Indexing; 2—Thread cutting; 3—Holding the tool in place.

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P – 3, Q – 2, R – 1

P – 3, Q – 1, R – 2

P – 2, Q – 1, R – 3

P – 1, Q – 3, R – 2

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A massless beam is fixed at one end and supported on a roller at other end. A point force P is applied at the midpoint of the beam as shown in figure. The reaction at the roller support is

Diagram for Production and Industrial Engineering question 39

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Six jobs (1, 2, 3, 4, 5, 6) undergo drilling, followed by reaming operation. The time required for each operation is given as

Job | Drilling (min) | Reaming (min) 1 | 30 | 45 2 | 30 | 15 3 | 60 | 40 4 | 20 | 25 5 | 35 | 28 6 | 45 | 70

The sequence of processing the jobs, using the Johnson’s rule, is

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4 – 1 – 6 – 3 – 5 – 2

4 – 6 – 1 – 5 – 3 – 2

2 – 1 – 6 – 3 – 5 – 4

2 – 1 – 3 – 6 – 5 – 4

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Match the engineering materials at room temperature with the given crystal structures.

Engineering material: P—Si; Q—Fe; R—Al; S—Zn.

Crystal structure: 1—FCC; 2—HCP; 3—Diamond Cubic; 4—BCC.

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P – 3, Q – 4, R – 1, S – 2

P – 2, Q – 1, R – 4, S – 3

P – 2, Q – 4, R – 1, S – 3

P – 3, Q – 1, R – 4, S – 2

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Match the recording techniques used in method study with the most appropriate application areas.

Recording technique: P—Outline process chart; Q—String diagram; R—Multiple activity chart; S—Two-handed process chart.

Application area: 1—Factory layout – movement of workers; 2—Gang work; 3—Complete manufacturing sequence of a product; 4—Manual assembly of nuts and bolts.

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P – 3, Q – 4, R – 2, S – 1

P – 3, Q – 1, R – 2, S – 4

P – 2, Q – 4, R – 3, S – 1

P – 2, Q – 1, R – 3, S – 4

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Match the products to be manufactured with the given metal working processes.

Product: P—Beverage can; Q—Seamless pipe; R—Connecting rod; S—Steel balls for bearing.

Process: 1—Forging; 2—Skew Rolling; 3—Extrusion; 4—Deep Drawing.

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P – 3, Q – 4, R – 1, S – 2

P – 2, Q – 4, R – 1, S – 3

P – 4, Q – 3, R – 2, S – 1

P – 4, Q – 3, R – 1, S – 2

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The dual of a LPP is

subject to,

and

for

The objective function of the primal is

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There are four locations (P, Q, R, S) and four factors to be considered for setting up a facility. The scores (on a scale of 0 to 10, with 10 being the maximum) for the given locations and the weight assigned to each factor are given as

Factor	Weight	P	Q	R	S
Availability of raw material	0.4	6	8	5	4
Availability of skilled labor	0.3	7	4	10	6
Infrastructure	0.2	8	3	10	8
Proximity to market	0.1	10	8	7	5

The best location for setting up the facility is

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GATE PI topic:manufacturing PYQs

Question 36

Question 37

Question 38

Question 39

Question 40

Question 41

Question 42

Question 43

Question 44

Question 45