ANS:B - Only assumption II is implicit

Explanation: The narrator in the statement clearly insists on the reliability of the fact that what he said, he had read it in newspaper X, and not on the truth of what he said. So, only II is implicit

ANS:B - 36 5.4

No answer description is available. Let's discuss.

ANS:C - virtual work

Depending on the value of angle θ, work is categorized into three types, They are

Positive Work.
Zero Work.
Negative Work.

Positive Work:
Positive work is defined when the force acting on the system and the displacement of the body both are in the same direction. Here, the value of angle θ lies in the range, 0 ≤ θ < 90°

E.g. Work done by Gravity on a body during free fall.

Negative Work:
Negative work is defined when the force acting on the system and the displacement of the body both vectors are in the opposite direction to each other.

Here, the value of angle θ lies in the range, of 90 < θ ≤ 180°.

E.g. Work done by Gravity when something is thrown vertically upward.

Zero Work:
There are three entities involved in the formula for work. Even if any one of the entities becomes 0 the work done will come to be zero.

This gives rise to the three cases of zero work:

The force and displacement vector are perpendicular to each other, which means, θ = 90° and Cos 90° will come to be 0.
The net displacement of the system is zero.
The value of applied force is 0. Virtual work is the total work done by the applied forces and the inertial forces of a mechanical system as it moves through a set of virtual displacements. When considering forces applied to a body in static equilibrium, the principle of least action requires the virtual work of these forces to be zero.

ANS:D -

No answer description is available.

ANS:B - curve B

No answer description is available.

ANS:A - 111101₂

The concept is separating 3 and D.

3(in hexadecimal ) = 11 ( in binary),
and A = 10 , B = 11 , C = 12 , D = 13 ( all in hexadecimal).
So D is = 13 (in hexadecimal ) = 1101 ( in binary). Now combine the two binary results: (111101) you will get the final answer.

ANS:A - less than

The operating speed of a ball mill should be at least equal to the critical speed.

Explanation:

• Critical Speed: The critical speed NcN_{\text{c}}Nc​ of a ball mill is defined as the rotational speed at which the centrifugal force due to the rotation of the mill shell equals the gravitational force acting on the grinding media (balls) and the material being ground.
• Significance of Critical Speed: Operating the ball mill at or above the critical speed ensures that the grinding media (balls) are lifted to the maximum height and then cascaded down, which enhances grinding efficiency.
• Relation to Operating Speed:
  • Equal to: Operating at the critical speed NcN_{\text{c}}Nc​ or slightly above ensures optimal grinding action and efficiency.
  • Less than: Operating below the critical speed may result in ineffective grinding and reduced throughput.
  • Much more than: Operating significantly above the critical speed can lead to excessive wear of the mill shell and grinding media, as well as reduced efficiency.
  • Slightly more than: This option is less precise compared to "at least equal to" and does not accurately reflect the critical speed requirement.

ANS:D - Neeraj Chopra

Neeraj Chopra won the gold medal in the men's javelin throw at the Asian Games 2023 with a throw of 88.88m. Kishore Kumar Jena won the silver medal with a throw of 87.54m.

ANS:C - Egypt

Egypt's President Abdel Fattah al-Sisi will be the chief guest at Republic Day celebrations in January.

ANS:C - Bangladesh

Tamim Iqbal, the captain of the Bangladesh one-day cricket team and a prominent batsman has announced his retirement from International Cricket. The left-handed opener has amassed over 15,000 runs in international cricket, including 25 centuries.