Given:

45321k8 is divisible by 11

Concept:

Divisibility rule of 11: A number is divisible by 11 if the difference between the sum of the digits at the odd and even places equals 0 or divisible by 11

Divisibility rule of 9: A number is divisible by 9 if the sum of the digits of the number is divisible by 9

Calculation:

Since 45321k8 is divisible by 11

⇒ 4 + 3 + 1 + 8 = 5 + 2 + k

⇒ k = 9

Number = 4532198

Sum of the digits of the number = 32

Nearest number to 32 which is divisible by 9 = 36

∴ The smallest number added to it to make it divisible by 9 = 4

The correct answer is At topmost position.

Key Points

• When an object (ball) is thrown upwards its velocity will decrease as it goes upward due to deceleration by gravity.
• So its kinetic energy will decrease as it moves upward. But its potential energy will increase as it moves upward.
• Kinetic energy is zero and potential energy is maximum when the object reaches the topmost point.
• Kinetic energy is maximum just before striking the ground.

When the paper is unfolded it will appear like :-

Hence, answer is the figure given below

The correct answer is Polycythemia.

Key Points

• Polycythaemia, also known as erythrocytosis, means having a high concentration of red blood cells in the blood.
• It is a Rare Disease of the blood-building cells in the bone marrow primarily resulting in a chronic increase of red blood cells (erythrocytes), thereby decreasing the flowability of blood. 
• This makes the blood thicker and less able to travel through blood vessels and organs. 
• The cause of Polycythaemia Vera is still unknown. The disorder is usually contracted but, in rare cases, it can be inherited.
• It is typically characterized by an increase in the production of red blood cells (erythrocytes). 
• At the onset of the disorder, the signs and symptoms tend to be unspecific.
• A noticeable reddening of the face can give the impression that the affected person is actually very healthy. When the red blood cell count reaches a critical number, the flowability of the blood decreases leading to restricted blood circulation. This causes a blue colouration of the skin.

Additional Information

The correct answer is C₃H₆.

Key Points

• Propene or propylene is a colorless gas with a slightly sweet smell. It belongs to the alkene group of hydrocarbons.
• Chemical Formula: C₃H₆
• Structural Formula: H₂C=CH-CH₃
• Molecular Geometry: Trigonal planar around the carbon-carbon double bond; Tetrahedral around the carbon atoms attached to three other atoms.
• Covalent bond: The chemical bond formed by sharing of two valence electron between the two atoms. There are 8 carbon-hydrogen covalent bonds and 2 carbon-carbon covalent bonds present in the propane molecule. So, the total number of covalent bonds present in propane is (8 + 2 = 10)
  • A covalent bond is represented clearly by drawing an electron - dot structure.
• Hybridization: sp² hybridized around the carbon of the double bond; sp³ hybridized around the last carbon.
• Polarity: Non-polar because of its symmetric geometric structure and the similar electronegativity of Carbon and Hydrogen.
• In terms of reactions, propene is commonly involved in addition reactions due to the presence of the double bond:
• Combustion: Like all hydrocarbons, propene burns in oxygen to produce water and carbon dioxide.
  • C₃H₆ + 4.5 O₂ -> 3 CO₂ + 3 H₂O
• Addition of Halogens: When reacted with halogens like Bromine (Br2), the bromine molecule adds across the double bond.
  • C₃H₆ + Br₂ -> C₃H₆Br₂
• Hydrogenation: Propene can undergo hydrogenation to produce propane, in the presence of a metallic catalyst.
  • C₃H₆ + H₂ -> C₃H₈
• Polymerization: Propene is particularly important in the industry as a monomer in the production of polypropylene, a versatile plastic.

Additional Information

Alkenes are hydrocarbons that contain a carbon-carbon double bond. Here are some common alkenes:

• Ethene (ethylene): This is the simplest alkene and is utilized broadly in the chemical industry. Its chemical formula is C₂H₄ and its structural formula is H₂C=CH₂.
• Butene: There are three isomers of butene; 1-butene, 2-butene (cis and trans). The chemical formula for Butene is C₄H₈. The structural formulas are CH₂=CH-CH₂-CH₃ for 1-butene and CH₃-CH=CH-CH₃ for 2-butene.
• Pentene: There are three isomers of pentene; 1-Pentene, 2-Pentene (cis and trans). The chemical formula for Pentene is C5H10. The structural formulas are CH₂=CH-(CH₂)₃-CH₃ for 1-Pentene and CH₃-CH=CH-(CH₂)₂-CH₃ for 2-Pentene.
• These molecules are important in both natural processes (such as ripening of fruits) and industrial processes (such as polymer production, preparation of alcohols, etc.). The "cis" and "trans" prefixes refer to the geometry of the substituents around the double bond. In "cis" isomers, the larger substituents are on the same side of the double bond, while in "trans" isomers, they are on opposite sides.
• All alkenes have similar chemical properties due to the presence of the carbon-carbon double bond. They all can undergo addition reactions where a molecule can add across the double bond, and polymerization reactions where individual alkene molecules (monomers) combine to form long chains (polymers), such as polyethylene and polypropylene plastics.

The correct answer is 2026.

In News

• The government has extended the PM-KUSUM scheme till March 2026.

Key Points

• The decision was taken as the scheme's implementation was significantly affected due to COVID.
• Pradhan Mantri Kisan Urja Suraksha evam Utthaan Mahabhiyan (PM-KUSUM) was launched in 2019.
• It aimed at adding solar capacity of 30,800 MW by 2022 with a total central financial support of Rs 34,422 crore.

Additional Information

• PM-KUSUM:
  • Pradhan Mantri Kisan Urja Suraksha Evam Uttham Mahabhiyan was launched by the Ministry of New and Renewable Energy.
  • It was launched to endow installation of off-grid solar pumps in rural areas and reduce dependence on grid, in grid-connected areas.
  • It aims to enable farmers to set up solar power generation capacity on their arid lands and to sell it to the grid.
  • The scheme consists of three components:
    • Component A is for the installation of 10,000 MW of solar capacity by installing small power plants of capacity up to 2 MW.
    • Component B aims at the installation of 20 lakh standalone solar-powered agriculture pumps.
    • Component C is for the solarisation of 15 lakh grid-connected agriculture pumps.

The correct answer is Alpha-linolenic Acid (ALA).

Key Points

• Omega-3 fatty acids are found in foods, such as fish and flaxseed, and in dietary supplements, such as fish oil.
• The most common omega-3 fatty acid found in vegetable oils, nuts (especially walnuts), flaxseed, and leafy vegetables that help prevent heart disease and stroke is Alpha-linolenic acid (ALA).
• The three main omega-3 fatty acids are
  • Alpha-linolenic acid (ALA)
  • Eicosapentaenoic acid (EPA)
  • Docosahexaenoic acid (DHA)
• Alpha-linolenic acid is found mainly in plant oils such as flaxseed, soybean, and canola oils. 
• Other sources of Omega-3 fatty acids include walnuts, chia seeds, hemp seeds, edamame, seaweed, and algae.

Additional Information

Benefits of Omega-3 fatty acids:

• Lower blood pressure
• Reduce triglycerides
• Slow the development of plaque in the arteries
• Reduces the chance of abnormal heart rhythm
• Reduces the likelihood of heart attack and stroke
• Lessen the chance of sudden cardiac death in people with heart disease

​​​The correct answer is Saudi Arabia.

In News

• Saudi Arabia has become dialogue partner of the Shanghai Cooperation Organization (SCO), a powerful regional bloc led by China and Russia.

Key Points

• The Cabinet approved a memorandum on becoming a dialogue partner in the SCO.
• The SCO was founded in June 2001 by China, Russia, and the Central Asian states of Uzbekistan, Kazakhstan, Kyrgyzstan and Tajikistan.
• Pakistan and India became full members in 2017.

Additional Information

• SCO:
  • The Shanghai Cooperation Organisation (SCO) is a permanent international intergovernmental organization which is headquartered in Beijing, China.
  • It is the world's largest regional organization in terms of geographic scope and population, covering approximately 60% of the area of Eurasia, 40% of the world population, and more than 30% of global GDP.
  • The SCO is the successor to the Shanghai Five, formed in 1996 between the People's Republic of China, Kazakhstan, Kyrgyzstan, Russia, and Tajikistan.

The correct answer is Volt.

Key Points

• Volt is the S.I. unit of electric potential difference.
• The coulomb is an SI unit of electric charge. 
• A joule is a derived unit of energy.
• Ampere is the SI unit of current.​

Important Points

• A voltmeter is always connected in parallel.
• An Ammeter is connected in series.
• A galvanometer is used for detecting and indicating electric current.
• 1 coulomb is equal to 6.24 × 10¹⁸ electrons.

Total length of both train = 100 + 120 = 220 m

Relative speed, If opposite direction = (18 + 15) = 33 m/s

As we know,

Time = distance/speed

∴ Time = 220/33 = 6.7 seconds