Gate MCQ Quiz Hub

1. Consider the function f(x) = |x| in the interval -1 ≤ x ≤ 1. At the point x = 0, f(x) is
continuous and differentiable
non-continuous and differentiable
continuous and non-differentiable.
neither continuous nor differentiable.

2. At x = 0, the function f (x) = x3 + 1 has
a maximum value
a minimum value
a singularity
a point of inflection

3. The area enclosed between the straight line y = x and the parabola y = x2 in the x-y plane is
1/6
1/4
1/3
1/2

4. 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
2
4
8

5. 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
0
1
1.08
2.02

6. 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
395
790
158
3160

7. Which one of the following configurations has the highest fin effectiveness?
Thin, closely spaced fins
Thin, widely spaced fins
Thick, widely spaced fins
Thick, closely spaced fins