Production and Industrial Engineering
GATE PI year:2025 PYQs
Build your understanding with focused practice from past exam papers.
Questions 61–65 of 65. Imported answers require independent review unless marked reviewed.
Question 61
Open questionPINAT2 marksNeeds review
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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You can attempt this question now. Sign in to view the answer key, explanations and discussion.Log in to check answerQuestion 64
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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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