ANS:B - 4155

Let 7589 -x = 3434 Then, x = 7589 - 3434 = 4155

ANS:E - Both I and II are implicit

Explanation: Clearly, teachers have been instructed to maintain discipline in the class and point out the naughty students who do not let other students study. So, I is implicit. Besides, the implementation of the instructions would surely help good students to concentrate on their studies and ensure a good working atmosphere in the class. So, II is also implicit.

ANS:A - \=

No answer description is available. Let's discuss.

ANS:D - 10.2 t.

Rb * 5 + 5 * 2 = 2 * 8 * 4.
Rb*5 = 64 - 10.
Rb*5 = 54.
Rb = 10.8.

So, Ra + Rb = 21,
Hence, Ra = 10.2. Compare both side moments at B,
(3*2*1.5) = (2*5*2.5) + (5*7) - (5Ra).
9 = 25+35-5Ra.
Ra=51/5.
Ra=10.2t. The resultant of the distributed load between A and B is:
2 t/m * 5 m = 10 t ... act at midway between A and B.

The resultant of the distributed load between B and the right free end of the beam is:
2 t/m * 3 m = 6 t ... act at midway.

Applying the moments=0 rule at point B:
(Clockwise is positive).

0= -5(7) + 5Ra - 10(2.5) + 6(1.5).
Solving for Ra gives:
Ra = 10.2 t.
 

ANS:A - A second bad keyboard

No answer description is available.

ANS:B - 1

The sphericity of a cubical particle, when its equivalent diameter is taken as the height of the cube, is 0.5.

Explanation:

• Sphericity: Sphericity is a measure of how closely the shape of a particle approaches that of a sphere. It is defined as the ratio of the surface area of a sphere with the same volume as the particle to the surface area of the particle itself.
• For a Cubical Particle:
  • If the equivalent diameter DDD of a cubical particle is taken as the height of the cube, then the volume VVV of the cube can be calculated as V=D3V = D^3V=D3.
  • The surface area AAA of the cube is A=6D2A = 6D^2A=6D2.
  • The volume of a sphere with the same diameter DDD is Vsphere=π6D3V_{\text{sphere}} = \frac{\pi}{6} D^3Vsphere​=6π​D3.
  • The surface area of the sphere is Asphere=πD2A_{\text{sphere}} = \pi D^2Asphere​=πD2.
• Sphericity Formula: The sphericity Φ\PhiΦ is given by: Φ=π1/3D61/2\Phi = \frac{\pi^{1/3} D}{6^{1/2}}Φ=61/2π1/3D​
• Calculation for a Cubical Particle:
  • If DDD (height of the cube) is taken as the equivalent diameter, then:
  Φ=π1/3D61/2\Phi = \frac{\pi^{1/3} D}{6^{1/2}}Φ=61/2π1/3D​ For a cubical particle where DDD is the height of the cube, the sphericity Φ\PhiΦ simplifies to 12\frac{1}{2}21​.

ANS:C - Malaysia

The 11th Sultan of Johor Cup will be held in Johor, Malaysia from October 27th to November 4th, 2023.

ANS:C - USA

Indian-origin Manpreet Monica Singh becomes the first female Sikh judge in the United States.

ANS:C - USA

Kevin McCarthy was elected as the new speaker of the US House of Representatives.

ANS:B - India

India is set to host the 'Voice of the Global South Summit.'