GATE PI format:nat PYQs & Answers — Page 24

Questions 231–240 of 264. Imported answers require independent review unless marked reviewed.

Topic practice 264 questionsPage 24 of 27

A project consists of three activities P, Q and R. The durations of activities follow Beta distribution. The predecessors and durations of activities are as per the following table: | Activity | Predecessors | Optimistic time (month) | Most likely time (month) | Pessimistic time (month) | P | — | 2 | 3 | 10 | Q | P | 3 | 5 | 13 | R | Q | 3 | 4 | 5 | The expected project completion time (in month) is _____

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A company has two manufacturing plants (C

and C

) and two distribution centres (D

and D

). The capacities of C

and C

are 100 and 200 units, respectively. The demand for D

and D

are 190 and 110 units, respectively. The costs per unit (in Rs.) of transportation at different routes are as per the following matrix: | | D

| D

| C

| 22 | 21 | C

| 20 | 27 | The minimum total cost (in Rs.) of transportation is _____

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The annual demand of an item is 19845 units and the production rate is 100 units per day. The per-unit production cost (excluding setup cost) is Rs. 50, the per unit holding cost is Rs. 10 per year and setup cost is Rs. 520 per setup. To minimize the total annual cost, the optimum quantity to be produced per setup is _____

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A production line operates 7 hours a day in a 5-day week. The processing times for various job elements are as follows: | Job element: p, q, r, s, t | Processing time (s): 5, 10, 12, 3, 15 | If the line is designed for an output of 840 units per week, the theoretical minimum number of work stations required is _____

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In a work sampling study of a worker, the information available are as follows: total time of study: 30 hour, number of items produced: 320, total number of observations: 100, number of observations when worker is found working: 80 and average performance rating: 105%. Company policy is to give allowance of 10% of total time on the job. The standard time (in minute per item, up to one decimal place) for manufacturing the item is _____

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The breakeven point of a manufacturing company is 5000 units. The fixed cost is Rs. 20000 and the variable cost per unit is Rs. 20. The selling price per unit (in Rs.) of the product at this breakeven point is _____

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A 10 mm thick plate is rolled to 7 mm thickness in a rolling mill using 1000 mm diameter rigid rolls. The neutral point is located at an angle of 0.3 times the bite angle from the exit. The thickness (in mm, up to two decimal places) of the plate at the neutral point is _____

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A cylindrical workpiece is turned at a feed of 0.1 mm/rev with a perfectly sharp tool. In ASA system, the side and end cutting edge angles are 15° and 5°, respectively, as shown in the figure. The peak-to-valley roughness (in

m, up to one decimal place) of the machined surface is _____

Diagram for Production and Industrial Engineering question 50

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The worktable in a CNC machine is driven by a leadscrew with a pitch of 2 mm. The leadscrew is directly coupled to a stepper motor of step angle 1.8°. The number of pulses required to move the worktable by 50 mm is _____

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During orthogonal machining of a job at a cutting speed of 90 m/min with a tool of 10° rake angle, the cutting force and thrust force are 750 N and 390 N, respectively. Assume a shear angle of 35°. The power (in W) expended for shear along the shear plane is _____

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GATE PI format:nat PYQs

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Question 52