List of practice Questions

The critical speed of a rotating shaft depends upon

All the failure theories give nearly the same results when

The value of the integral \( \int_C \frac{3\sigma^2 + x}{z^2 - 1} \, dz \), where \( C \) is the circle \( |z - 1| = 1 \), is

Using the method of Regula Falsi, a root of the equation \( x^3 + x^2 - 3x - 3 = 0 \) lying between 1 and 2 is

A slider sliding at 15 m/s on a link which is rotating at 30 r.p.m, is subjected to Coriolis acceleration of magnitude

A vertical double-acting steam engine develops 75 kW at 250 r.p.m. The maximum fluctuation of energy is 30 percent of the work done per stroke. The maximum and minimum speeds are not to vary more than 1 percent on either side of the mean speed. What is the approximate mass of the flywheel required? If the radius of gyration is 0.6 m.

The height of a Watt's governor is expressed as

The maximum frictional force which comes into play when a body just begins to slide over another surface is called

The strain energy stored in a body due to a suddenly applied load compared to when it is applied gradually is

What are the absolute maximum value and the absolute minimum value of a function \( f(x) = \sin x + \cos x \) in the interval \( [0, \pi] \)?

A can hit a target 3 times in 5 shots, B 2 times in 5 shots, and C three times in 4 shots. All of them fire one shot each simultaneously at the target. What is the probability that at least two shots hit?

Using Poisson distribution, the probability that the ace of spades will be drawn from the pack of well-shuffled cards at least once in 104 consecutive trials is

If \( y = e^{(x+e)^{(x+e)^{(x+\cdots)}}} \), what is the value of \( \frac{d}{dx}(y) \)?

If \( \frac{d}{dx}(y) = y \sin 2x \) and \( y(0) = 1 \), then what is the required solution?

A population grows at the rate of 8% per year. How long does it take for the population to double?

Which provision in the Indian Constitution provides for procedural safeguards against arbitrary arrest and detention?

In which year did the Supreme Court decide that the citizens of India have the Right to Negative Vote by exercising NOTA?

Which provision of the Indian Constitution ensures free and fair elections of the Panchayat?

Arrange the following amendments to the Constitution in a chronological order.
A. Incorporation of Dadra and Nagar Haveli as Union Territory
B. Abolition of Election Tribunals
C. Abolition of Privy Purse
D. Reducing the age for voting rights from 21 to 18 years

Which amendment to the Indian Constitution sought to implement economic justice and equality of opportunity assured by the Preamble vide Article 38 (B)?

If \( A = \begin{bmatrix} 2 & -1 \\ -1 & 2 \end{bmatrix} \) satisfies the matrix polynomial equation \( A^2 - 4 + kI_2 = 0 \), then determine the value of \( k \).

Chronologically arrange the following initiatives in monitoring the international environment.
A. United Nations Conference on Human Environment in Stockholm
B. Vienna Convention for the Protection of the Ozone Layer
C. Kyoto Protocol to the UNFCCC
D. Brundtland Commission Report

Which of the following Court decisions declared the 'Right to Privacy' to be a fundamental right?

Which of the following statements are CORRECT about the Original Jurisdiction of the Supreme Court of India?
A. The Original jurisdiction of the Supreme Court is dealt with in Article 132 of the Constitution.
B. Under Article 131 of the Constitution, the functions of the Supreme Court are purely federal in character.
C. It is confined to disputes between different units of the federation.
D. The Original Jurisdiction concerns to any dispute between the Government of India and one or more State.

Chronologically arrange the amendments to the Indian Constitution.
A. Added Schedule IX
B. First Schedule was amended to transfer certain territories implementing the Indo-Pakistan agreements.
C. Mizoram was made a State
D. Amended the Preamble