Production and Industrial Engineering
GATE PI topic:manufacturing PYQs
Build your understanding with focused practice from past exam papers.
Questions 121–130 of 650. Imported answers require independent review unless marked reviewed.
Question 56
Open questionPINAT2 marksNeeds review
A force of 1000 N is acting at point A on a bracket fixed at point B as shown in the figure. The magnitude of the moment of the force about B (in N·m) is________. (Rounded off to one decimal place)
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A steel plate is fastened to a channel using three identical bolts as shown in the figure. The bolts are made of carbon steel of permissible yield strength in shear as 400 N/mm
. The plate is subjected to a force of 12 kN. Neglect the weight of the plate. The magnitude of the resultant shear force (in N) on bolt 2 is ________. (Answer in integer) 
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The annual profit of a company depends on its annual marketing expenditure. The information of preceding 3 years’ annual profit and marketing expenditure is given in the table. Based on linear regression, the estimated profit (in units) of the 4
year at a marketing expenditure of 5 units is ________. (Rounded off to two decimal places)Log in to check the answer
You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 59
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Three plants P₁, P₂ and P₃ produce 6, 1 and 9 thousand liters of fruit juice, respectively. The produced fruit juice is transported to three distribution centers D₁, D₂ and D₃ with requirement of 7, 5 and 4 thousand liters of juice, respectively. The transportation cost (in hundreds of Rupees) from each plant to each distribution center is given in the table. The total transportation cost (in hundreds of Rupees) in initial basic feasible solution using Vogel’s approximation method is ________. (Answer in integer)
| D₁ | D₂ | D₃ | Supply |
|---|---|---|---|---|
P₁ | 2 | 3 | 11 | 6 |
P₂ | 1 | 0 | 6 | 1 |
P₃ | 5 | 8 | 15 | 9 |
Demand | 7 | 5 | 4 | |
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A company purchases items in bulk for getting quantity discount in the item’s price. The price break-up is given in the table. The annual demand for the item is 5000 units. The ordering cost is Rupees 400 per order. The annual inventory carrying cost is 30 percent of the purchase price per unit. The optimal order size (in units) is ________. (Answer in integer)
Quantity of item (Q in units) | Unit price of item (Rupees) |
|---|---|
0 ≤ Q < 1200 | 10 |
1200 ≤ Q < 2000 | 8 |
2000 ≤ Q | 7 |
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The zero line of the Vernier scale lies between divisions 20 and 21 of the main scale. The 4ᵗʰ Vernier scale division exactly coincides with a main scale division. The 5 divisions of the Vernier scale are equal to 4 divisions of the main scale. If one main scale division is 1 mm, the measured value (in mm) is __________. (Rounded off to one decimal place)
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A broaching machine makes key slots with a mean dimension of 10.56 mm and a standard deviation of 0.05 mm. The upper control limit for mean of sample size 5 calculated using X-bar (X̄) chart is __________. (Rounded off to two decimal places)
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The table shows the data of running a machine for five years. The original machine cost is Rupees 70,000. In order to minimize the average total cost per year for running the machine, the machine should be replaced after ________ years. (Answer in integer)
| 1ˢᵗ year | 2ⁿᵈ year | 3ʳᵈ year | 4ᵗʰ year | 5ᵗʰ year |
|---|---|---|---|---|---|
Resale value (Rupees) | 4000 | 3000 | 2500 | 2200 | 2000 |
Maintenance cost (Rupees) | 1900 | 2030 | 2350 | 3500 | 4000 |
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Water flows through a smooth circular pipe of diameter 10 cm and length 10 m. The pressure drop across the length of the pipe is 0.2 Pa. Kinematic viscosity and density of water are 1×10⁻⁶ m²/s and 1000 kg/m³, respectively. Assuming laminar and fully developed flow throughout the pipe, the velocity of water (in m/s) at the center of the pipe is __________. (Rounded off to one decimal place)
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The left-hand side of a 20 cm thick wall is maintained at 25 °C. The right-hand side of the wall is exposed to hot air at 50 °C. There is no heat generation inside the wall and its thermal conductivity is 100 W/m·K. The convective heat transfer coefficient is 50 W/m²·K. Under steady state condition, the temperature (in °C) of the right-hand side surface of the wall is__________. (Rounded off to one decimal place)
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