Mechanical Engineering Gate Yearwise
Mechanical Engineering Gate 2025 Questions with Answer
Ques 27 GATE 2025
Water enters a tube of diameter, D = 60 mm with mass flow rate of 0.01 kg s-1 as shown in the figure below. The inlet mean temperature is Tm,i=293 K and the uniform heat flux at the surface of the tube is 2000 W m-2. For the exit mean temperature of Tm,o=353 K, the length of the tube, L is ______ m (rounded off to 1 decimal place).
Use the specific heat of water as 4181 Jkg-1 K-1.
Ques 28 GATE 2025
Considering the actual demand and the forecast for a product given in the table below, the mean forecast error and the mean absolute deviation, respectively, are
| Period | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 | 10 |
| Actual demand | 425 | 421 | 426 | 416 | 422 | 418 | 430 | 420 | 415 | 427 |
| Forecast | 427 | 418 | 423 | 422 | 416 | 422 | 415 | 430 | 419 | 420 |
Ques 29 GATE 2025
A company uses 3000 units of a part annually. The units are priced as given in the table below. It costs ¥150 to place an order. Carrying costs are 40 percent of the purchase price per unit on an annual basis. The minimum total annual cost is ______ (rounded off to 1 decimal place).
| Order quantity | Unit price (¥) |
| 1 to 499 | 9.0 |
| 500 to 999 | 8.5 |
| 1000 or more | 8.0 |
Ques 30 GATE 2025
A project involves eight activities with the precedence relationship and duration as shown in the table below. The slack for the activity D is ______ hours (answer in integer).
| Activity | Immediate predecessor | Duration (hours) |
| A | 4 | |
| B | A | 8 |
| C | A | 5 |
| D | B | 2 |
| E | B | 7 |
| F | C | 6 |
| G | D | 3 |
| H | E, F, G | 9 |
Ques 31 GATE 2025
When assembled, the hole 30+0.030+0.020 mm and shaft 30-0.020-0.030 mm will result in
Ques 32 GATE 2025
A shaft carries a helical spur gear. Which one of the following bearings can NOT be used to support it?
Ques 33 GATE 2025
The endurance limit of a specific grade of steel is same as its yield strength. The ultimate strength of this grade of steel is twice of its yield strength. A component made of this steel is loaded in tension and unloaded periodically. It is required that the component does NOT fail for at least 106 loading cycles, as per the Soderberg law. Considering a factor of safety of 2, the maximum applied tensile principal stress is
Ques 34 GATE 2025
A pair of spur gears is required to maintain a velocity ratio of 1:2. The module of the gears is 10 mm and the addendum is 10 mm. If the operating pressure angle is 15° the minimum number of teeth required on the pinion to ensure NO interference/undercutting is ______ (answer in integer).
Ques 35 GATE 2025
Two plates of thickness 10 mm each are to be joined by a transverse fillet weld on one side and the resulting structure is loaded as shown in the figure below.
If the ultimate tensile strength of the weld material is 150 MPa and the factor of safety to be used is 3, the minimum length of the weld required to ensure that the weld does NOT fail is ______ mm (rounded off to 2 decimal places).
Ques 36 GATE 2025
Among the following surface hardening processes, steel is heated to the lowest temperature in
Ques 37 GATE 2025
The welding process commonly used for fabricating tailor-welded blanks of dissimilar thickness for automotive applications is
Ques 38 GATE 2025
In computer aided design (CAD), solid models can be constructed using
Ques 39 GATE 2025
Ceramics and glass are machined by
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