Question Discussion & Solution

The correct answer is Ajmer.

Key Points

• The headquarter of the Rajasthan Revenue Council is located in Ajmer.
• Functions of Revenue Department:
  • All matters relating to levy and collection of Direct Taxes.
  • All matters relating to levy and collection of Indirect Taxes.
  • Investigation into economic offenses and enforcement of economic laws.
  • Levy of taxes on sales in the course of inter-state trade or commerce.

Additional Information

• Bikaner:
  • Bikaner city is the district headquarters which was founded in 1486 AD by Rao Bika, a Rajput ruler, and is the fourth largest city of the State. 
• Jaipur:
  • It is the capital of India’s Rajasthan state.
  • It evokes the royal family that once ruled the region and that, in 1727, founded what is now called the Old City, or “Pink City” for its trademark building color. ​
• Jodhpur:
  • It is a city in the Thar Desert of the northwest Indian state of Rajasthan.
  • Its 15th-century Mehrangarh Fort is a former palace that’s now a museum, displaying weapons, paintings, and elaborate royal palanquins. 
• Ajmer:
  • Ajmer is a city in the northern Indian state of Rajasthan.
  • It is situated on the lower slopes of the Taragarh Hill of that range. 
  • South of the city's artificial Ana Sagar Lake is Ajmer Sharif Dargah, the domed shrine of the Muslim Sufi saint Garib Nawaz. 

The correct answer is Its momentum is doubled.

Key Points

• Momentum is a vector quantity; it has both magnitude and direction.
• Isaac Newton’s second law of motion states that the time rate of change of momentum is equal to the force acting on the particle.
• Momentum can be calculated by multiplying the mass of an object by its forward velocity. (mv = kg*m/s).
• Mass and velocity are both directly proportional to the Momentum.
  • If you increase either mass or velocity, the Momentum of the object increases proportionally.
  • If you double the mass or velocity, you double the Momentum.
  • If you halve the mass or velocity, you half the Momentum.
• Newton's laws of motion-
  • ​Newton’s first law states that if a body is at rest or moving at a constant speed in a straight line, it will remain at rest or keep moving in a straight line at constant speed unless it is acted upon by force. This postulate is known as the law of inertia.
  • Newton’s second law is a quantitative description of the changes that a force can produce in a body's motion. It states that the time rate of change of a body's momentum is equal in both magnitude and direction to the force imposed on it. The momentum of a body is equal to the product of its mass and its velocity.
  • Newton’s third law states that when two bodies interact, they apply forces to one another equal in magnitude and opposite in direction. The third law is also known as the law of action and reaction. This law is important in analyzing static equilibrium problems, where all forces are balanced, but it also applies to bodies in uniform or accelerated motion.

Important Points

• Acceleration, the rate at which velocity changes with time in terms of both speed and direction. A point or an object moving in a straight line is accelerated if it speeds up or slows down. Motion on a circle is accelerated even if the speed is constant because the direction is continually changing.
• Kinetic energy, a form of energy that an object or a particle has because of its motion. If work, which transfers energy, is done on an object by applying a net force, the object speeds up and gains kinetic energy. Kinetic energy is a property of a moving object or particle and depends not only on its motion but also on its mass.
• Potential energy, stored energy that depends upon the relative position of various parts of a system. Spring has more potential energy when it is compressed than stretched. A steel ball has more potential energy raised above the ground than it has after falling to Earth.

The correct answer is Mercury.

Key Points

• Mercury is the closest planet to the Sun.
• The planet probably received this name because it moves so quickly across space.
• Temperature variations on Mercury are the most extreme in the solar system ranging from 90 K to 700 K.
• Mercury is the second densest major body in the solar system, after Earth.

Important Points 

• The solar system is made up of the sun and everything that orbits around it, including planets, moons, asteroids, comets, and meteoroids.
  • It extends from the sun, called Sol by the ancient Romans, and goes past the four inner planets, through the Asteroid Belt to the four gas giants and on to the disk-shaped Kuiper Belt and far beyond to the teardrop-shaped heliopause.
  • Scientists estimate that the edge of the solar system is about 9 billion miles (15 billion kilometers) from the sun.
  • Beyond the heliopause lies the giant, spherical Oort Cloud, which is thought to surround the solar system.

Additional Information 

•  The sun is at the center of our solar system and is its largest object, accounting for 99.8% of the solar system's mass.
  • Our sun is a giant, raging ball of fire powered by nuclear reactions, and it provides the energy that sustains life on Earth.
  • The life-giving star is a yellow dwarf star made up of gas: about 91% hydrogen and 8.9% helium, according to NASA.
  • Compared with other stars, the size of the sun is relatively small and it's just one of the hundreds of billions of stars in our home galaxy, the Milky Way. 

The correct answer is Ferozeshah Kotla in Delhi.

• The Hindustan Socialist 'Republican Association formed in 1928 at Ferozeshah Kotla in Delhi.

Key Points

• Hindustan Socialist Republican Association (HSRA):
  • Hindustan Republic Association at a historic meeting in the ruins of Ferozshah Kotla in Delhi was converted into Hindustan Socialist Republican Association in September 1928.
  • Under the leadership of Chandra Shekhar Azad, the name of HRA was changed to Hindustan Socialist Republican Association (HSRA).
  • The participants included Bhagat Singh, Sukhdev, Bhagwaticharan Vohra from Punjab and Bejoy Kumar Sinha, Shiv Verma and Jaidev Kapur from the United Provinces.
  • The HSRA decided to work under a collective leadership and adopted socialism as its official goal.

Additional Information

• Hindustan Republican Association/Army:

  • The HRA was founded in October 1924 in Kanpur by Ramprasad Bismil, Jogesh Chandra Chatterjee and Sachin Sanyal, with an aim to organise an armed revolution to overthrow the colonial government and establish in its place the Federal Republic of United States of India whose basic principle would be an adult franchise.

The pattern is:

31

31 × 2 + 1 = 63;

63 × 2 - 2 = 124;

124 × 2 + 3 = 251;

251 × 2 - 4 = 498

Hence, the answer is '498'.