Gate/GATE Production and Industrial Sample Test,Sample questions

Question: ``` A circular solid disc of uniform thickness 20 mm, radius 200 mm and mass 20 kg, is used as a flywheel. If it rotates at 600 rpm, the kinetic energy of the flywheel, in Joules is ```

1.395

2.790

3.158

4.3160

Posted Date:-2022-04-06 10:52:12

Question: ``` Consider the function f(x) = |x| in the interval -1 Ã¢â€°Â¤ x Ã¢â€°Â¤ 1. At the point x = 0, f(x) is ```

1.continuous and differentiable

2.non-continuous and differentiable

3.continuous and non-differentiable.

4.neither continuous nor differentiable.

Posted Date:-2022-04-06 10:45:04

Question: ``` The area enclosed between the straight line y = x and the parabola y = x2 in the x-y plane is ```

1.1/6

2.1/4

3.1/3

4.1/2

Posted Date:-2022-04-06 10:47:23

Question: ```A thin walled spherical shell is subjected to an internal pressure. If the radius of the shell is increased by 1% and the thickness is reduced by 1%, with the internal pressure remaining the same, the percentage change in the circumferential (hoop) stress is ```

1.0

2.1

3.1.08

4.2.02

Posted Date:-2022-04-06 10:48:30

Question: ```At x = 0, the function f (x) = x3 + 1 has ```

1.a maximum value

2.a minimum value

3.a singularity

4.a point of inflection

Posted Date:-2022-04-06 10:46:03

Question: ```For a long slender column of uniform cross section, the ratio of critical buckling load for the case with both ends clamped to the case with both ends hinged is ```

1.1

2.2

3.4

4.8

Posted Date:-2022-04-06 10:47:53

Question: ```Which one of the following configurations has the highest fin effectiveness? ```

1.Thin, closely spaced fins

2.Thin, widely spaced fins

3.Thick, widely spaced fins

4.Thick, closely spaced fins

Posted Date:-2022-04-06 10:53:27

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