The correct answer is Ahmedabad Mill Workers' Struggle.

Key Points

• Mahatma Gandhi used the hunger strike for the first time during the Ahmedabad Mill Workers' Struggle of 1918.
• The strike was initiated to demand better wages and working conditions for the mill workers.
• Gandhi's hunger strike was a non-violent method to support the workers and exert moral pressure on mill owners.
• The dispute revolved around the mill owners refusing to grant a 50% wage hike as compensation for the increased cost of living during World War I.
• Gandhi's intervention and hunger strike led to a peaceful resolution, with the workers achieving a 35% wage increase.

Additional Information

• Hunger Strike:
• A non-violent method of protest where individuals refuse to eat to draw attention to a cause or demand justice.
• This method was frequently used by Gandhi as part of his philosophy of Satyagraha (truth-force).
• Ahmedabad Mill Workers' Struggle:
• It was one of the first significant labor movements in India led by Gandhi.
• The strike was a pivotal moment in India's labor rights history and demonstrated the power of peaceful protest.
• Satyagraha:
• A philosophy and practice of nonviolent resistance developed by Mahatma Gandhi.
• It emphasizes the power of truth and nonviolence in achieving justice and social change.
• Gandhi's Leadership in Labor Movements:
• Besides the Ahmedabad strike, Gandhi also supported workers during the Champaran Satyagraha (indigo farmers) and Kheda Satyagraha (peasants).
• His efforts helped establish workers' rights as an essential aspect of India's freedom struggle.

Shortcut Trick

Check the common difference between divisors and remainders.

32 − 4 = 28, 41 − 13 = 28, 48 − 20 = 28.

Number = LCM(32, 41, 48) × k − 28, and it must be divisible by 53.

LCM(32, 41, 48) = 7872. For k = 1, Number = 7872 − 28 = 7844.

7844 ÷ 53 = 148 (Remainder 0). So, 7844 is the number.

∴ The correct answer is 7834 and 7854.

Alternate Method

Given: Divisors (d₁, d₂, d₃) = 32, 41, 48 | Remainders (r₁, r₂, r₃) = 4, 13, 20.

⇒ Common difference (d − r) = 32 − 4 = 28; 41 − 13 = 28; 48 − 20 = 28.

⇒ LCM(32, 41, 48) = 2⁵ × 41 × 3 = 32 × 123 = 7872.

⇒ General form: N = 7872k − 28.

⇒ Condition: N must be exactly divisible by 53.

⇒ Test k = 1: N = 7872(1) − 28 = 7844.

⇒ Verification: 7844 = 53 × 148 + 0. (Condition satisfied).

⇒ 7844 lies between 7834 and 7854.

∴ The correct answer is 7834 and 7854.

Additional Information

LCM with Common Difference

When (Divisor − Remainder) is constant (say x), the number is LCM(Divisors) × k − x.

LCM with Same Remainder

If every divisor leaves the same remainder r, the number is LCM(Divisors) × k + r.

Divisibility Rule of 53

To check if a number is divisible by 53, add 16 times the last digit to the rest of the number.

The correct answer is Chalukyas.

Key Points

• The Badami Caves, located in Karnataka, were built during the reign of the Chalukyas, specifically under the rule of Pulakeshin I and his successors.
• These caves are primarily dedicated to Hindu deities like Shiva and Vishnu, along with some Jain influences, showcasing the religious diversity of the era.
• The rock-cut architecture of Badami caves highlights the Dravidian style with intricate carvings and sculptures.
• Badami served as the capital of the early Chalukya dynasty during the 6^th to 8^th centuries, symbolizing their architectural prowess.
• There are four main cave temples at Badami, which are a mix of Hindu and Jain traditions, reflecting the cultural synthesis of the Chalukya period.

Additional Information

• Chalukya Dynasty:
• The Chalukyas ruled a significant part of southern and central India between the 6^th and 12^th centuries.
• They are divided into three branches: Early Chalukyas of Badami, Later Chalukyas of Kalyani, and Eastern Chalukyas of Vengi.
• The dynasty was known for its patronage of art, architecture, and literature.
• Rock-Cut Architecture:
• Rock-cut temples are structures carved directly into natural rocks, showcasing advanced craftsmanship.
• The Badami caves are prime examples of rock-cut architecture, featuring intricate carvings and sculptures.
• Dravidian Style of Architecture:
• Originating in South India, Dravidian architecture is characterized by pyramid-shaped temples, intricate sculptures, and carvings.
• The Badami caves reflect early Dravidian architectural elements, which influenced later temple constructions.
• Religious Significance:
• The cave temples are dedicated to Hindu deities like Shiva and Vishnu, with Jain influences in some caves.
• They highlight the religious harmony and cultural synthesis during the Chalukya period.

Shortcut Trick

Apply the empirical formula: Mode = 3 × Median − 2 × Mean.

Given: Median = 100 and Mean = 76.

Mode = 3 × 100 − 2 × 76

Mode = 300 − 152 = 148.

∴ The correct answer is 148.

Alternate Method

Given:

Mean = 76

Median = 100

Formula Used:

Mode = 3(Median) − 2(Mean)

Calculations:

⇒ Mode = 3 × 100 − 2 × 76

⇒ Mode = 300 − 152

⇒ Mode = 148

∴ The correct answer is 148.

Additional Information

Empirical Relationship

For a moderately skewed distribution, the relationship between the three measures of central tendency is given by Mode = 3 Median − 2 Mean.

Symmetrical Distribution

In a perfectly symmetrical distribution (like a Normal Distribution), the Mean, Median, and Mode are all equal.

The correct answer is Option 3: 1 and 3.

Key Points

• The 'Lakhpati Didi' scheme aims to empower women by enabling members of Self-Help Groups (SHGs) to achieve an annual household income of at least ₹1 lakh, sustained through agricultural seasons or business cycles.
• The scheme is implemented under the Deendayal Antyodaya Yojana – National Rural Livelihoods Mission (DAY-NRLM), which is spearheaded by the Ministry of Rural Development.
• It focuses on enhancing the livelihoods of rural women through entrepreneurial activities, capacity building, and access to financial resources.
• The scheme does not include direct annual cash transfers of ₹1 lakh to beneficiaries, but instead supports income generation via skill development and enterprise promotion.
• Prime Minister Narendra Modi interacted with the beneficiaries of the scheme in Gujarat in March 2025 to assess its impact on women empowerment and rural development.

Additional Information

• Deendayal Antyodaya Yojana – National Rural Livelihoods Mission (DAY-NRLM):
• Launched in 2011, DAY-NRLM aims to reduce poverty by enhancing sustainable livelihood opportunities for rural poor households.
• It focuses on creating efficient and effective institutional platforms for the rural poor, especially women, to enable them to increase household income through self-employment and skilled wage employment opportunities.
• The mission promotes financial inclusion by linking SHGs to banks for credit support.
• Self-Help Groups (SHGs):
• SHGs are small, voluntary associations of people, typically women, who come together to save and collectively manage resources for income-generating activities.
• They play a significant role in empowering women and improving rural livelihoods.
• Empowerment of Women through SHGs:
• SHGs facilitate access to credit, skills training, and market linkages, enabling women to start and sustain micro-enterprises.
• The 'Lakhpati Didi' scheme is a prime example of leveraging SHGs for women’s economic empowerment.
• Key Features of DAY-NRLM:
• Universal social mobilization by bringing at least one woman from each identified rural poor household into SHG networks.
• Skill development and entrepreneurship promotion to enhance employability and income generation.

BODMAS Rule:

According to the question, the letters are interchanged as follows:

Now, given the equation: 37 S (28 Q 7) P 5 R 4 P 6 S 21 = ?

After interchanging the specified letters, the new equation is:

37 + (28 ÷ 7) × 5 − 4 × 6 + 21 = ?

Perform operations according to BODMAS:

⇒ 37 + (28 ÷ 7) × 5 − 4 × 6 + 21

⇒ 37 + 4 × 5 − 4 × 6 + 21

⇒ 37 + 20 − 24 + 21

⇒ 57 − 24 + 21

⇒ 33 + 21

⇒ 54

Hence, the correct answer is "Option 3".

The logic followed here is:

The code for "K" for"1".

Hence, the correct answer is "Option 2".

The correct answer is Manufacturing and mechanical industries.

Key Points

• Tetrachloromethane (carbon tetrachloride) is commonly utilized in manufacturing and mechanical industries due to its excellent degreasing properties.
• This compound is effective in removing grease, oil, and other contaminants from metal surfaces, tools, and machinery.
• Mechanical industries employ it for cleaning parts during assembly, maintenance, and repair tasks.
• Its non-flammable nature made it a preferred choice in industrial applications before its usage was restricted due to environmental concerns.
• Industries like aerospace and automotive heavily relied on Tetrachloromethane for degreasing metal components.

Additional Information

• Tetrachloromethane (Carbon Tetrachloride):
• A chemical compound with the formula CCl₄.
• Historically used as a solvent, cleaning agent, and refrigerant.
• Its use has significantly declined due to its adverse health effects and contribution to ozone layer depletion.
• Degreasing Agents:
• Chemical substances used to remove grease, oil, or dirt from surfaces.
• Examples include organic solvents, alkaline solutions, and detergents.
• They are widely applied in industries for cleaning machinery, tools, and metal parts.
• Environmental Concerns:
• Carbon Tetrachloride is classified as a potent ozone-depleting substance under the Montreal Protocol.
• Its production and use have been phased out in many countries due to its harmful environmental effects.
• It is also considered a hazardous air pollutant with serious health risks to humans.
• Alternative Degreasing Solutions:
• Eco-friendly alternatives include water-based cleaners and biodegradable solvents.
• Industries are increasingly adopting non-toxic and sustainable cleaning agents.
• These alternatives help reduce health risks and environmental impact.

The correct answer is Four.

Key Points

• The Indian government consolidated 29 existing labour laws into four labour codes as part of labour reforms enacted in 2019-2020.
• The four labour codes are: Code on Wages, Code on Industrial Relations, Code on Social Security, and Code on Occupational Safety, Health, and Working Conditions.
• These reforms aim to simplify, modernize, and streamline labour regulations, ensuring ease of compliance and promoting labour welfare.
• The consolidation addresses issues such as outdated provisions, multiplicity of definitions, and overlapping jurisdictions, which often created confusion and inefficiencies.
• The labour codes provide a uniform framework for both workers and employers, promoting transparency and fostering a conducive environment for economic growth.

Additional Information

• Code on Wages, 2019:
• This code subsumes four wage-related laws, including the Payment of Wages Act and Minimum Wages Act.
• It ensures a statutory minimum wage across all sectors and simplifies wage-related compliance.
• Code on Industrial Relations, 2020:
• It aims to balance the rights of employers and employees, facilitating better industrial relations.
• Provisions include streamlined dispute resolution mechanisms and conditions for strikes and lockouts.
• Code on Social Security, 2020:
• This code integrates nine laws related to social security, such as the Employees' Provident Fund and Maternity Benefit Act.
• It expands the social security net to cover gig and platform workers.
• Code on Occupational Safety, Health, and Working Conditions, 2020:
• This code combines 13 laws related to health, safety, and working conditions.
• It focuses on ensuring safe working environments and welfare provisions for workers in various industries.
• Objective of Labour Reforms:
• The reforms aim to enhance the ease of doing business and attract investments while safeguarding workers' rights.
• They are crucial for creating a flexible, simplified, and transparent labour regulatory framework in India.

The correct answer is It creates a new list item with the same bullet or number..

Key Points

• When you press ‘Enter’ while working with a bullet or numbered list in MS Word 365, it automatically creates a new list item with the same bullet or numbering style.
• The newly created bullet or number appears directly below the previous item, maintaining the same formatting style.
• If the user presses ‘Enter’ twice, the current list is terminated, and the cursor moves to a new line without any bullets or numbering.
• This functionality is part of the auto-formatting features of MS Word, designed to streamline the creation of lists and improve efficiency in document editing.
• Users can also customize the bullet or numbering style by accessing the ‘Bullets and Numbering’ menu in the toolbar.

Additional Information

• Bullets and Numbering in MS Word:
• Bullets are used for unordered lists, while numbering is used for ordered lists.
• The user can access these options under the ‘Home’ tab in the toolbar.
• Customizing bullets or numbering allows for the use of symbols, images, or different number formats.
• Keyboard Shortcuts for Lists:
• Pressing ‘Ctrl + Shift + L’ applies a default bullet style to the selected text.
• To increase or decrease the indentation level of a list, use ‘Tab’ or ‘Shift + Tab’, respectively.
• Auto-Formatting Features:
• MS Word auto-detects list patterns when typing (e.g., starting a line with "1." or "-").
• This feature can be toggled on/off in the ‘AutoCorrect Options’ under the ‘File’ menu.
• Ending a List:
• Pressing ‘Enter’ twice ends the current list and moves the cursor to a new line without bullets or numbering.
• Alternatively, users can manually remove bullets or numbering by clicking the respective icons in the toolbar.

The given code language is:                                                                                                                                                                                                                     

Thus, 'talk' is coded as 'mu'.

Hence, the correct answer is "Option 2".

The pattern followed here is.

Thus, the missing term in the series is FJ76.

Hence, the correct answer is Option 4.

Shortcut Trick Factorize the quadratic equation x2 − x − 6 = 0 into (x − 3)(x + 2) = 0. The roots are α = 3 and β = −2. Now, substitute these roots directly into the required expression α4 + β4. α4 + β4 = (3)4 + (−2)4 = 81 + 16 = 97. ∴ The correct answer is 97. Alternate Method Given: x2 − x − 6 = 0 For a quadratic equation ax2 + bx + c = 0, the coefficients are a = 1, b = −1, and c = −6. Formula Used: Sum of roots (α + β) = −b/a and Product of roots (αβ) = c/a. ⇒ α + β = −(−1)/1 = 1 ⇒ αβ = −6/1 = −6 To find α4 + β4, first find α2 + β2: ⇒ α2 + β2 = (α + β)2 − 2αβ ⇒ α2 + β2 = (1)2 − 2(−6) = 1 + 12 = 13 Now, square the above result to find α4 + β4: ⇒ α4 + β4 = (α2 + β2)2 − 2(αβ)2 ⇒ α4 + β4 = (13)2 − 2(−6)2 ⇒ α4 + β4 = 169 − 2(36) = 169 − 72 = 97 ∴ The correct answer is 97. Additional Information Relationship between Roots and Coefficients For the equation ax2 + bx + c = 0, the sum of roots is −b/a and the product of roots is c/a. This allows solving symmetric expressions without finding individual roots. Algebraic Identities for Powers Useful identities include α2 + β2 = (α + β)2 − 2αβ and α3 + β3 = (α + β)3 − 3αβ(α + β). Nature of Roots The discriminant (D = b2 − 4ac) determines if roots are real and distinct (D > 0), real and equal (D = 0), or non-real complex (D < 0).

The correct answer is These are absolute..

Key Points

• Fundamental Rights in the Indian Constitution are not absolute; they are subject to reasonable restrictions to ensure public order, morality, and national security.
• Article 19(2) of the Constitution explicitly mentions reasonable restrictions on the freedom of speech and expression.
• The Fundamental Rights are enforceable by the courts under Article 32, which provides the right to constitutional remedies.
• The Constitution grants Cultural and Educational Rights as Fundamental Rights under Articles 29 and 30 to protect minority groups.
• While Fundamental Rights are guaranteed, they can be suspended during a national emergency as stated under Article 359, except for Articles 20 and 21.

Additional Information

• Fundamental Rights:
• These are enshrined in Part III of the Indian Constitution, spanning Articles 12 to 35.
• They ensure the basic rights and freedoms of individuals, including equality, freedom, protection against exploitation, and religious freedom.
• They are classified into six categories: Right to Equality, Right to Freedom, Right against Exploitation, Right to Freedom of Religion, Cultural and Educational Rights, and Right to Constitutional Remedies.
• Reasonable Restrictions:
• Restrictions are imposed to maintain public order, morality, health, security, and friendly relations with foreign states.
• Such restrictions are defined within the Constitution and upheld by judicial review to prevent misuse by authorities.
• Article 32 - Right to Constitutional Remedies:
• Referred to as the "heart and soul of the Constitution" by Dr. B.R. Ambedkar.
• Allows individuals to approach the Supreme Court directly for enforcement of Fundamental Rights.
• Empowers courts to issue writs such as habeas corpus, mandamus, prohibition, quo warranto, and certiorari.
• Suspension of Fundamental Rights:
• During a national emergency under Article 352, certain Fundamental Rights can be suspended.
• Rights under Articles 20 and 21 cannot be suspended even in emergencies.
• Article 358 and Article 359 specify conditions for suspension during emergencies.

The correct answer is Ctrl + V.

Key Points

• Ctrl + V is the standard keyboard shortcut used to paste content in most operating systems and applications.
• This shortcut works universally across platforms like Windows, macOS, and Linux, making it a widely recognized function.
• It is part of the trio of common shortcuts: Ctrl + C (copy), Ctrl + X (cut), and Ctrl + V (paste).
• The use of "V" for pasting can be traced back to early computer systems, where it was chosen because "P" was already assigned to "Print."
• The shortcut is supported by most text editors, word processors, and graphical user interfaces for efficient and quick workflow.

Additional Information

• Keyboard Shortcuts
• Keyboard shortcuts are combinations of keys that provide quick access to specific functions within a software or operating system.
• They help improve productivity by reducing the need for mouse interactions.
• Examples include Ctrl + Z (undo), Ctrl + Y (redo), and Ctrl + A (select all).
• Clipboard
• The clipboard is a temporary storage area used to transfer data between documents or applications.
• When you use Ctrl + C or Ctrl + X, the data is saved to the clipboard until you paste it using Ctrl + V.
• Modern operating systems often support clipboard history, allowing users to access multiple copied items.
• History of Ctrl + V
• The shortcut system was popularized by Xerox PARC in the 1970s and later adopted by Apple and Microsoft.
• Early systems like Apple Lisa and Macintosh standardized these shortcuts, which were later incorporated into Windows.
• Cross-Platform Usage
• On macOS, the equivalent shortcut for paste is Cmd + V.
• Linux-based systems also follow the Ctrl + V convention, though terminal applications may use different shortcuts.

Shortcut Trick

Weight of B = (Sum of A and B) + (Sum of B and C) − (Total Sum of A, B and C)

Weight of B = (37 × 2) + (47 × 2) − (45 × 3)

Weight of B = 74 + 94 − 135 = 33 kg.

∴ The correct answer is 33 kg.

Alternate Method

Given:

Average weight of A, B and C = 45 kg

Average weight of A and B = 37 kg

Average weight of B and C = 47 kg

Formula Used:

Sum of observations = Average × Total number of observations

Calculations:

⇒ Total weight of A, B and C = 45 × 3 = 135 kg

⇒ Total weight of A and B = 37 × 2 = 74 kg

⇒ Total weight of B and C = 47 × 2 = 94 kg

⇒ Sum of (A + B) and (B + C) = A + 2B + C = 74 + 94 = 168 kg

⇒ Weight of B = (A + 2B + C) − (A + B + C)

⇒ Weight of B = 168 − 135 = 33 kg

∴ The correct answer is 33 kg.

Additional Information

Average of Group

The average of a group is the sum of all values divided by the number of values in that group. Formula: Average = Sum ÷ n.

Overlap Method

In problems where one person is part of two subgroups, their value = (Sum of subgroup 1 + Sum of subgroup 2) − (Total sum of all members).

Excluded Value

Weight of an excluded person = (Initial Total Weight) − (New Total Weight after exclusion).

The correct answer is 1978.

Key Points

• The Right to Property was originally included as a Fundamental Right under Article 19(1)(f) and Article 31 of the Indian Constitution.
• It was removed from the list of Fundamental Rights by the 44^th Amendment Act, 1978, during the tenure of Prime Minister Morarji Desai.
• After the amendment, the Right to Property was reclassified as a legal right under Article 300A in Part XII of the Constitution.
• The change was made to resolve conflicts between private property rights and the government's power to acquire land for public purposes.
• This amendment curtailed the misuse of property-related rights and allowed the government greater flexibility in enacting land reforms.

Additional Information

• Fundamental Rights:
• These are enshrined in Part III of the Indian Constitution and are justiciable, meaning they can be enforced by courts.
• Initially, there were seven Fundamental Rights, but now there are six after the removal of the Right to Property.
• 44^th Amendment Act, 1978:
• This was enacted to nullify some provisions of the 42^nd Amendment, which was passed during the Emergency period (1975-77).
• It ensured that Fundamental Rights could not be easily abridged or suspended except during a properly declared emergency.
• Article 300A:
• It states that no person shall be deprived of their property except by the authority of law.
• It made the Right to Property a statutory (legal) right instead of a Fundamental Right.
• Impact of the Change:
• Reclassification of the Right to Property helped the government implement land acquisition and agrarian reforms more effectively.
• It reduced the number of property-related litigations in courts.

Shortcut Trick

Relative Speed (Same direction) = 110 − 100 = 10 km/hr.

Total Distance = Sum of lengths = 100 + 500 = 600 m = 0.6 km.

Time (hours) = Distance ÷ Relative Speed = 0.6 ÷ 10 = 0.06 hours.

Time (minutes) = 0.06 × 60 = 3.6 minutes.

∴ The correct answer is 3.6 minutes.

Alternate Method

Given:

Length of train 1 (L₁) = 100 m

Length of train 2 (L₂) = 500 m

Speed of train 1 (S₁) = 100 km/hr

Speed of train 2 (S₂) = 110 km/hr

Formula Used:

Time = Total Distance ÷ Relative Speed

Calculations:

⇒ Total Distance = L₁ + L₂ = 100 + 500 = 600 m

⇒ Relative Speed = S₂ − S₁ = 110 − 100 = 10 km/hr

⇒ Convert Speed to m/sec: 10 × (5/18) = 50/18 m/sec

⇒ Time (sec) = 600 ÷ (50/18) = (600 × 18) ÷ 50 = 12 × 18 = 216 seconds

⇒ Time (min) = 216 ÷ 60 = 3.6 minutes

∴ The correct answer is 3.6 minutes.

Additional Information

Relative Speed Concept

When two objects move in the same direction, relative speed is the difference (S₁ − S₂). If they move in opposite directions, it is the sum (S₁ + S₂).

Unit Conversion

To convert km/hr to m/s, multiply by 5/18. To convert m/s to km/hr, multiply by 18/5.

Crossing Objects

When a train crosses another train or a bridge, the total distance is always the sum of their lengths.

The logic followed here is:

Thus, the missing term in the series is 1172.

Hence, the correct answer is "Option 2".

Given series:

(Left) 7 & 9 ^ # 1 * 5 ≺ 2 6 ≡ 4 Δ 3 $ @ 8 (Right)

Solution:

If all symbols are dropped from the series, the numbers remaining are: 7, 9, 1, 5, 2, 6, 4, 3, 8.

Counting from the right, the fifth number is 2.

Hence, the correct answer is "Option 2"$.

Given: Seven people, A, B, L, M, N, S, and T are sitting in a row, facing north.

Only two people sit to the left of S. Only three people sit between S and B.

T sits second to the right of S. Only two people sit between T and M.

L sits at some place to the right of A but at some place to the left of N.

Thus, Only  people sit to the right of L.

Hence, the correct answer is "Option 2".

The correct answer is Mahuda.

Key Points

• Mahuda (Madhuca longifolia) is a vital ingredient used in Pithora painting to distill natural pigments for creating the vibrant colors used in this art form.
• Mahuda flowers are mixed with milk to create a liquid medium that helps extract the natural colors from organic pigments.
• It is a traditional method employed by the Rathwa and Bhil tribes of Gujarat and Madhya Pradesh, who are renowned for Pithora paintings.
• The use of Mahuda ensures that the colors maintain their natural vibrancy and adhere well to the surface of the walls.
• Mahuda is also culturally significant to these tribes, being used in various rituals and traditional practices, including its application in art.

Additional Information

• Pithora Painting
• Pithora painting is a ritualistic and traditional art form of the Rathwa and Bhil tribes in Gujarat and Madhya Pradesh.
• These paintings are typically created on the walls of houses to invoke blessings from the deity Pithora Baba for prosperity and well-being.
• They are vibrant depictions of tribal culture, incorporating animals, humans, and deities in a symbolic style.
• Natural Pigments in Pithora Art
• Natural pigments derived from organic materials such as rice paste, turmeric, and flowers are traditionally used in Pithora paintings.
• The colors are prepared using a mix of milk and Mahuda to ensure their durability and brightness.
• Mahuda Tree (Madhuca longifolia)
• Mahuda is a tropical tree native to India and is widely revered in tribal communities.
• The flowers of the tree are used in various applications, such as brewing traditional alcoholic beverages, cooking, and as a natural ingredient in art.
• Significance of Milk in Pithora Painting
• Milk is used as a binder in traditional Pithora art to create a smooth, adhesive medium for natural pigments.
• It symbolizes purity and is often associated with the sacred nature of the rituals connected to Pithora painting.

The correct answer is State Finance Commission.

Key Points

• The 74^th Constitutional Amendment Act of 1992 mandated the establishment of the State Finance Commission (SFC) to review the financial position of Urban Local Bodies (ULBs) and Panchayati Raj Institutions (PRIs).
• The SFC is constituted by the respective State Governments every five years to recommend measures for improving the financial health of local self-governments.
• Its primary responsibility is to distribute financial resources between the state government and local bodies, ensuring adequate funding for developmental activities.
• The recommendations of the SFC include devolution of taxes, grants-in-aid, and improving revenue-generating capabilities of ULBs and PRIs.
• This initiative aligns with the spirit of decentralization, empowering local self-governments to perform their functions more effectively.

Additional Information

• 74^th Constitutional Amendment Act, 1992
• This Act provided a constitutional status to Urban Local Bodies (ULBs) in India.
• It introduced the concept of decentralized governance through institutions like Municipalities, Municipal Corporations, and Nagar Panchayats.
• It also emphasized the importance of financial sustainability and accountability in local governance.
• State Finance Commission (SFC)
• The SFC was established under Article 243-I of the Constitution.
• It is responsible for reviewing the financial position of Panchayati Raj Institutions and Urban Local Bodies within the state.
• The SFC provides recommendations on tax assignments, revenue-sharing, and grants-in-aid for local bodies.
• Urban Local Bodies (ULBs)
• ULBs are the governing institutions responsible for administering towns and cities in India.
• They include Municipal Corporations, Municipalities, and Nagar Panchayats, which are categorized based on the population size.
• ULBs are tasked with providing essential services such as water supply, sanitation, waste management, and urban planning.
• Decentralization
• Decentralization refers to the transfer of decision-making powers and responsibilities from central authorities to lower levels of government.
• It aims to improve governance, ensure participation, and enhance service delivery at the grassroots level.
• The 73^rd and 74^th Constitutional Amendments are key milestones in India’s journey toward decentralized governance.

Given series:

(Left) 4 2 1 6 9 & © 2 \% 6 & $ * 5 @ £ 1 8 @ # (Right)

Condition to be checked:

Number → Symbol → Symbol

4 2 1 6 9 & © 2  \% 6 &  $ * 5 @ £ 1 8 @ #

There are five such symbols in the above arrangement (9 & ©, 2 \%, 6 & , 5 @ £, 8 @ #).

Hence, the correct answer is "Option 4".

The correct answer is Fixed buy-back rate by companies.

Key Points

• Contract farming involves an agreement between a farmer and a company (buyer) for the production and supply of agricultural products at predetermined prices.
• The agreement often includes a fixed buy-back rate for the produce, ensuring price stability for the farmers.
• It is a practice widely adopted to reduce market risks for farmers and ensure a steady supply of raw materials for companies.
• Contract farming provides access to advanced technology, quality seeds, fertilizers, and technical knowledge supplied by companies.
• It is a regulated practice under the Indian Model Agricultural Produce and Livestock Contract Farming Act, 2018, which protects the interests of both farmers and companies.

Additional Information

• Contract Farming Act, 2018:
• This model act aims to promote contract farming by providing a framework for agreements between farmers and sponsors.
• It includes provisions to prevent exploitation of farmers, including no transfer of land ownership to sponsors.
• The act also ensures dispute resolution through a fast-track mechanism.
• Advantages of Contract Farming:
• Farmers benefit from guaranteed pricing and reduced market risks.
• Companies ensure a steady supply of raw materials with desired quality standards.
• Farmers gain access to modern technology and better farming practices.
• Disadvantages of Contract Farming:
• Farmers may become overly dependent on companies for inputs and technology.
• Disputes may arise regarding quality standards, payment delays, or pricing.
• Small farmers may face challenges in negotiating favorable contract terms.
• Examples of Contract Farming in India:
• PepsiCo's potato farming initiative in Punjab for its snack products.
• Nestle's milk procurement model through direct contracts with dairy farmers.
• ITC's e-Choupal initiative for sourcing agricultural produce directly from farmers.

The pattern followed here is that each letter of the first term is shifted forward by 4 positions. The pattern can be summarized as (+4, +4, +4, +4).

For : FBHP : JFLT

For : VRXF : ZVBJ

Applying the same logic to HDJR:

Thus, HDJR is related to LHNV.

Hence, the correct answer is "Option 3".

The correct answer is 701.

Key Points

• As of October 2024, India became the fourth country in the world to have foreign exchange (forex) reserves exceeding $701 billion.
• The Reserve Bank of India (RBI) is responsible for managing the country’s forex reserves, which include foreign currency assets, gold reserves, Special Drawing Rights (SDRs), and the reserve position in the International Monetary Fund (IMF).
• India’s forex reserves crossed the $700 billion mark, highlighting its strong economic fundamentals and resilience in the global financial landscape.
• Other countries with similar high forex reserves include China, Japan, and Switzerland.
• Maintaining high forex reserves is essential for stabilizing the Indian rupee and supporting India’s imports, external debt, and economic growth.

Additional Information

• Foreign Exchange Reserves
• Forex reserves consist of foreign currency assets, gold, SDRs (Special Drawing Rights), and the reserve position in the IMF.
• These reserves act as a buffer against external economic shocks and ensure financial stability.
• They are critical for maintaining investor confidence and supporting the balance of payments.
• Reserve Bank of India (RBI)
• The RBI is India’s central bank, tasked with managing monetary policy, regulating banks, and overseeing the country’s forex reserves.
• It actively intervenes in the forex market to stabilize the Indian rupee against global currencies.
• Special Drawing Rights (SDRs)
• SDRs are supplementary foreign exchange reserve assets created by the International Monetary Fund (IMF).
• They are based on a basket of major international currencies, including the US dollar, euro, yuan, yen, and pound sterling.
• Importance of Forex Reserves
• They enable a country to meet its external obligations, including import payments and debt repayments.
• High reserves help mitigate currency volatility and ensure economic stability during global financial crises.
• India’s Forex History
• India’s forex reserves have grown significantly since the economic liberalization of 1991, when they were critically low.
• In 2021, India’s forex reserves exceeded $600 billion for the first time, showcasing its economic progress$.

Shortcut Trick

Filling rate with pump alone = 1/4 tank/hr.

Filling rate with leakage (9 1/3 hr = 28/3 hr) = 3/28 tank/hr.

Rate of leakage = 1/4 − 3/28 = (7 − 3)/28 = 4/28 = 1/7 tank/hr.

Time taken by leak to empty = 1 ÷ (1/7) = 7 hours.

∴ The correct answer is 7 hr.

Alternate Method

Given: Filling time = 4 hr, Combined time with leak = 28/3 hr.

Formula Used: Efficiency = Total Work ÷ Time; Leak Efficiency = P − (P−L).

⇒ Efficiency of Pump (P) = 28 ÷ 4 = 7 units/hr.

⇒ Efficiency of Pump − Leak (P−L) = 28 ÷ (28/3) = 3 units/hr.

⇒ Efficiency of Leak (L) = 7 − 3 = 4 units/hr.

⇒ Time taken by Leak to empty = 28 ÷ 4 = 7 hr.

∴ The correct answer is 7 hr.

Additional Information

Inlet and Outlet Pipes

An inlet pipe fills a tank (positive work) while an outlet pipe or leakage empties it (negative work).

Combined Efficiency

If pipe A fills in 'x' hours and leak B empties in 'y' hours, net work per hour = 1/x − 1/y.

Emptying Time Formula

If a tank fills in 'a' hours and with a leak in 'b' hours, the leak empties the full tank in (a × b) ÷ (b − a) hours.

Given:

The expression to simplify is: 81 - 4 × (5 + 2) + 54

Formula used:

Follow the BODMAS rule: Brackets, Orders (powers/roots), Division, Multiplication, Addition, Subtraction.

Calculation:

81 - 4 × (5 + 2) + 54

⇒ 81 - 4 × 7 + 54     (solving inside the brackets)

⇒ 81 - 28 + 54     (multiplying 4 × 7)

⇒ (81 + 54) - 28

⇒ 135 - 28 = 107

∴ The correct answer is option (4).

Shortcut Trick

In an isosceles triangle, base angles are equal.

Sum of base angles = 180° − Vertex angle

Sum = 180° − 124° = 56°

Each base angle = 56° ÷ 2 = 28°

∴ The correct answer is 28° and 28°.

Alternate Method

Given:

Vertex angle (top angle) = 124°

Triangle type = Isosceles Triangle

Formula Used:

Sum of all internal angles of a triangle = 180°

In an isosceles triangle, angles opposite to equal sides are equal (Base angles).

Calculations:

Let each base angle be x.

⇒ 124° + x + x = 180°

⇒ 124° + 2x = 180°

⇒ 2x = 180° − 124°

⇒ 2x = 56°

⇒ x = 56° ÷ 2

⇒ x = 28°

∴ The correct answer is 28° and 28°.

Additional Information

Isosceles Triangle Properties

A triangle with at least two equal sides. The angles opposite to these sides are always equal.

Angle Sum Property

The sum of the interior angles of any triangle is always 180°.

Equilateral Triangle

A special case of an isosceles triangle where all three sides and all three angles (each 60°) are equal.

The pattern followed here is that each letter of the first term is shifted backward by 2 positions. The pattern can be summarized as (-2, -2, -2, -2).

For: JROK : HPMI

For**: GOLH : EMJF**

Applying the same logic to DLIE:

Thus, DLIE is related to BJGC.

Hence, the correct answer is "Option 3".

The correct answer is Their capability to act as adapter, structural and catalytic molecules.

Key Points

• RNA molecules exhibit functional diversity by acting as adapter molecules in translation, such as transfer RNA (tRNA), which brings amino acids to the ribosome.
• They serve as structural components in cellular machinery, such as ribosomal RNA (rRNA), which forms the core of ribosomes.
• RNA molecules can act as catalysts, such as ribozymes, which facilitate biochemical reactions without being proteins.
• RNA plays regulatory roles, such as microRNAs (miRNAs) and small interfering RNAs (siRNAs), which modulate gene expression post-transcriptionally.
• The versatility of RNA is due to its ability to adopt complex secondary and tertiary structures, enabling diverse functional roles in cellular processes.

Additional Information

• Messenger RNA (mRNA):
• Acts as a template for protein synthesis during translation.
• mRNA carries genetic information from DNA to ribosomes.
• Each mRNA sequence specifies the amino acid sequence of a protein.
• Transfer RNA (tRNA):
• tRNA functions as an adapter molecule in translation.
• It has anticodons that pair with mRNA codons and carries specific amino acids to the ribosome.
• tRNA’s cloverleaf structure is critical for its role in protein synthesis.
• Ribosomal RNA (rRNA):
• Forms the structural and functional core of ribosomes.
• rRNA helps in aligning mRNA and tRNA during translation.
• Some rRNA molecules exhibit catalytic activity, facilitating peptide bond formation.
• Ribozymes:
• RNA molecules with enzymatic properties.
• Examples include self-splicing introns and the RNA component of RNase P.
• Ribozymes demonstrate that RNA can act as both genetic material and a catalyst.

Shortcut Trick

Height = Volume ÷ (Length × Breadth)

Height = 7524 ÷ (33 × 4)

Height = 7524 ÷ 132 = 57 cm

∴ The correct answer is 57 cm.

Alternate Method

Given:

Length (l) = 33 cm

Breadth (b) = 4 cm

Volume (V) = 7524 cm³

Formula Used:

Volume of a cuboid = l × b × h

Calculations:

⇒ 7524 = 33 × 4 × h

⇒ 7524 = 132 × h

⇒ h = 7524 ÷ 132

⇒ h = 57 cm

∴ The correct answer is 57 cm.

Additional Information

Total Surface Area of Cuboid

The total surface area is calculated as 2 × (lb + bh + hl).

Diagonal of a Cuboid

The longest rod that can fit in a cuboid is given by √(l² + b² + h²).

Lateral Surface Area

Area of four walls = 2 × height × (length + breadth).

The correct answer is d = (Z × M) / (a³ × NA).

Key Points

• The formula d = (Z × M) / (a³ × NA) is used to calculate the density of a unit cell in crystallography.
• In this formula, Z represents the number of atoms per unit cell, M is the molar mass of the substance, a³ is the volume of the unit cell (edge length cubed), and NA is Avogadro’s number.
• The density (d) is expressed in grams per cubic centimeter (g/cm³) when the molar mass is in grams per mole and the unit cell volume is in cubic centimeters.
• This formula is derived from the relationship between mass, volume, and density, considering the number of atoms within the unit cell and their molar mass.
• It is widely used to predict the crystal structure and verify experimental density measurements in solid-state chemistry and materials science.

Additional Information

• Unit Cell:
• The unit cell is the smallest repeating structure in a crystal lattice that represents the entire crystal.
• Its dimensions are defined by the lengths of edges (a, b, c) and angles between them (α, β, γ).
• Avogadro’s Number (NA):
• Avogadro’s number is approximately 6.022 × 10²³ mol⁻¹, representing the number of entities in one mole of a substance.
• It is crucial for converting between macroscopic and molecular scales in chemistry.
• Molar Mass (M):
• The molar mass is the mass of one mole of a substance, expressed in grams per mole (g/mol).
• It is calculated as the sum of the atomic masses of all the elements in a compound.
• Crystal Lattice:
• A crystal lattice is a three-dimensional arrangement of atoms, ions, or molecules in a structured and repeating pattern.
• Common types of unit cells include cubic, tetragonal, hexagonal, and orthorhombic systems.
• Density in Crystals:
• Density is a physical property that correlates the mass of a substance to its volume.
• In crystallography, density helps determine the packing efficiency and arrangement of atoms within a unit cell.

Given:

: QVS :: GLI : %

Option 1) # = LQN, % = LQN

For # (LQN) to QVS

The pattern derived from LQN to QVS is: (+5, +5, +5).

For GLI to % (LQN)

The pattern derived from GLI to LQN is: (+5, +5, +5).

Since the patterns for both pairs match, Option 1 is the correct answer.

Option 2) # = KOJ, % = HGT

For # (KOJ) to QVS

The pattern derived from KOJ to QVS is: (+6, +7, +9).

For GLI to % (HGT)

The pattern derived from GLI to HGT is: (+1, -5, +11).

Since the patterns do not match, Option 2 is incorrect.

Option 3) # = LPQ, % = LKP

For # (LPQ) to QVS

The pattern derived from LPQ to QVS is: (+5, +6, +2).

For GLI to % (LKP)

The pattern derived from GLI to LKP is: (+5, -1, +7).

Since the patterns do not match, Option 3 is incorrect.

Option 4) # = PMN, % = PJY

For # (PMN) to QVS

The pattern derived from PMN to QVS is: (+1, +9, +5).

For GLI to % (PJY)

The pattern derived from GLI to PJY is: (+9, -2, +16).

Since the patterns do not match, Option 4 is incorrect.

Hence, the correct answer is "Option 1".

The correct answer is By depositing sediments over time.

Key Points

• Rivers contribute to the formation of coastal plains through the process of sediment deposition over long periods of time.
• As rivers flow, they carry sediments such as sand, silt, and clay, which are deposited at their mouths or along their courses.
• These sediments accumulate over time and gradually form flat, low-lying land near the coast, which is referred to as a coastal plain.
• Examples include the Eastern Coastal Plains of India, which were formed by sediment deposition from rivers like the Ganga, Mahanadi, Godavari, Krishna, and Kaveri.
• The deposition process is influenced by factors such as the river's flow velocity, sediment load, and tidal interactions in coastal areas.

Additional Information

• Coastal Plain: A flat or gently sloping area of land adjacent to a sea or ocean, often formed by sediment deposition or marine erosion.
• Delta Formation: In some cases, rivers form deltas at their mouths, where the deposited sediments create triangular landforms, contributing to coastal plain development.
• Alluvium: Sediments such as sand, silt, and clay transported and deposited by rivers, forming fertile and flat lands.
• Estuaries and Tidal Influence: In areas where rivers meet the sea, tidal forces can redistribute sediments, further shaping the coastal plain.
• Human Impact: Human activities such as agriculture, urbanization, and dam construction can alter natural sediment deposition processes, impacting coastal plain formation.

Given: A, B, C, D, E and F live on six different floors of the same building, numbered 1 to 6 from bottom to top.

1. F lives on an even-numbered floor but not 6.

The even-numbered floors are 2, 4, and 6. Since F does not live on floor 6, F must live on either floor 2 or floor 4.

2. The sum of floors on which C and F live is 9. The sum of floors on which F and E live is 5.

Let's use a case-by-case analysis based on F's floor:

• Case 1: F lives on Floor 2.
• Sum of C and F's floors is 9: C's floor + 2 = 9, so C lives on Floor 7. This is not a valid floor. Therefore, this case is not possible.
• Case 2: F lives on Floor 4.
• Sum of C and F's floors is 9: C's floor + 4 = 9, so C lives on Floor 5. This is a valid floor.
• Sum of F and E's floors is 5: 4 + E's floor = 5, so E lives on Floor 1. This is also a valid floor.

The valid placements so far are: F is on Floor 4, C is on Floor 5, and E is on Floor 1.

3. A lives immediately below B.

The remaining empty floors are 6, 3, and 2. The remaining people are A, B, and D.

Since A lives immediately below B, they must occupy consecutive floors. The only consecutive empty floors are 3 and 2.

So, B is on Floor 3 and A is on Floor 2.

The only remaining person is D and the only remaining floor is 6. So D is on Floor 6.

Therefore, Two people live below B.

Hence, the correct answer is "Option 2".

The correct answer is Rotax 912 iSc3 Sports engine.

Key Points

• The Hansa NG trainer aircraft is equipped with the Rotax 912 iSc3 Sports engine, known for its reliability, efficiency, and lightweight design.
• This engine is a four-stroke, fuel-injected engine that supports unleaded aviation fuel and meets stringent emission standards.
• The Rotax 912 iSc3 Sports engine delivers 100 horsepower (hp), making it suitable for trainer aircraft used in pilot training programs.
• It features advanced technology such as electronic fuel injection and digital engine control, enhancing performance and fuel efficiency.
• The Rotax engine has been widely adopted in the aviation industry, particularly for ultralight and light-sport aircraft, due to its low operational costs and high durability.

Additional Information

• Trainer Aircraft:
• Trainer aircraft are specifically designed for pilot training, allowing beginners to learn flight mechanics and navigation.
• They are equipped with dual controls to enable instructors to assist trainees during flight.
• Modern trainer aircraft often feature advanced avionics to simulate real-world flying conditions.
• Rotax Engines:
• Rotax engines are manufactured by BRP-Rotax GmbH & Co KG, based in Austria.
• They are widely used in light aircraft, ultralights, and light-sport aircraft due to their lightweight and reliable performance.
• Rotax engines are known for their low vibration levels, reduced noise, and compliance with international emission standards.
• Fuel Efficiency:
• The Rotax 912 iSc3 Sports engine's electronic fuel injection system optimizes fuel consumption and reduces emissions.
• It is designed to operate efficiently with unleaded aviation gasoline, making it environmentally friendly.
• Hansa NG Aircraft:
• The Hansa NG is an upgraded version of the Hansa series, developed by the National Aerospace Laboratories (NAL), India.
• It is a two-seater trainer aircraft designed for general aviation and pilot training.
• The aircraft incorporates advanced safety features, improved aerodynamics, and a modern cockpit layout.

Shortcut Trick If x2 + 1/x2 = n, then (x − 1/x) = √(n − 2). Here n = 83 → x − 1/x = √(83 − 2) = 9. Shortcut for x3 − 1/x3 = k3 + 3k, where k = (x − 1/x). Required value = 93 + 3(9) = 729 + 27 = 756. ∴ The correct answer is 756.

Alternate Method Given: x2 + 1/x2 = 83 x > 0 Formula Used:

1. Algebraic identity: (a − b)2 = a2 + b2 − 2ab
2. Algebraic identity: a3 − b3 = (a − b)(a2 + b2 + ab) Calculations: ⇒ (x − 1/x)2 = x2 + 1/x2 − 2×x×(1/x) ⇒ (x − 1/x)2 = 83 − 2 ⇒ (x − 1/x)2 = 81 ⇒ x − 1/x = √81 = 9 ⇒ x3 − 1/x3 = (x − 1/x)(x2 + 1/x2 + (x×1/x)) ⇒ x3 − 1/x3 = 9 × (83 + 1) ⇒ x3 − 1/x3 = 9 × 84 = 756 ∴ The correct answer is 756.

Additional Information Positive Power Relation If x + 1/x = k, then x2 + 1/x2 = k2 − 2 and x3 + 1/x3 = k3 − 3k. Negative Power Relation If x − 1/x = k, then x2 + 1/x2 = k2 + 2 and x3 − 1/x3 = k3 + 3k. Relationship between (x+1/x) and (x-1/x) (x + 1/x)2 − (x − 1/x)2 = 4.

Shortcut Trick

Since AB || CD and PQ is a transversal line, the angle ∠MND and the given angle ∠DNQ form a linear pair on the straight line PQ.

⇒ ∠MND = 180° − 50° = 130°

Since corresponding angles are equal for parallel lines, we have:

⇒ ∠PMB = ∠MND = 130°

∴ The correct answer is 130°.

Alternate Method

Given:

⇒ AB || CD (parallel lines)

⇒ PQ is a transversal line intersecting AB at M and CD at N.

⇒ ∠DNQ = 50°

Properties Used:

1. Linear Pair Axiom: Angles on a straight line sum up to 180°.
2. Corresponding Angles Postulate: When two parallel lines are cut by a transversal, corresponding angles are equal.

Calculations:

⇒ ∠MND + ∠DNQ = 180° (Linear pair on transversal line PQ)

⇒ ∠MND + 50° = 180°

⇒ ∠MND = 180° − 50° = 130°

Since AB || CD and PQ is the transversal line:

⇒ ∠PMB = ∠MND (Corresponding angles)

⇒ ∠PMB = 130°

Option Analysis:

⇒ Option (1) 120° is incorrect because the supplementary angle to 50° is 130°, not 120°.

⇒ Option (3) 100° is incorrect because the angle is determined by the linear pair relation with 50°, which yields 130°.

⇒ Option (4) 50° is incorrect because ∠PMB is an obtuse angle, whereas 50° is an acute angle (∠BMN = 50°).

∴ The correct answer is 130°.

Additional Information

Corresponding Angles

When two parallel lines are cut by a transversal, the angles in matching corners are called corresponding angles and they are equal.

Alternate Exterior Angles

Alternate exterior angles are equal when lines are parallel. For example, ∠PMA and ∠DNQ are alternate exterior angles.

Consecutive Interior Angles

Consecutive interior angles lie on the same side of the transversal and inside the parallel lines. Their sum is always 180°.

The correct answer is Lothal.

Key Points

• Lothal is a prominent site of the Indus Valley Civilization, located in present-day Gujarat, India.
• It is renowned for its advanced and elaborate dockyard structure, which showcases remarkable engineering and urban planning skills.
• The dockyard was used for maritime activities, including trade and transportation, making Lothal a significant trading hub during ancient times.
• The dockyard was constructed using bricks and stone, and it featured a sophisticated drainage system to manage water flow and prevent flooding.
• Excavations at Lothal also revealed evidence of bead-making, shell-working, and metallurgy, highlighting its industrial and commercial significance.

Additional Information

• Indus Valley Civilization (IVC):
• The IVC flourished between 2500 BCE and 1900 BCE in the regions of present-day Pakistan and northwest India.
• It is known for its advanced urban planning, including well-laid streets, drainage systems, and standardized brick sizes.
• Major sites include Harappa, Mohenjo-Daro, Dholavira, and Lothal.
• Lothal's Dockyard:
• The dockyard measures approximately 218 meters in length and 37 meters in width.
• It is believed to have been connected to the Sabarmati River for facilitating trade and transport.
• The structure showcases the technical prowess of the civilization in water management and maritime engineering.
• Trade and Economy:
• Lothal was a center for trade in beads, semi-precious stones, and ornaments.
• Artifacts discovered at the site include tools, seals, and pottery, indicating robust commercial activities.
• Trade links extended to Mesopotamia and other regions, reflecting the global reach of the Indus Valley Civilization.
• Other Indus Valley Sites:
• Harappa: Known for its granaries and urban planning.
• Mohenjo-Daro: Famous for its Great Bath and advanced drainage systems.
• Dholavira: Known for its water conservation techniques and unique layout.

The correct answer is Gujarat – Rann of Kutch.

Key Points

• Dhordo is a small village located in the state of Gujarat, India, and serves as the gateway to the Rann of Kutch, a vast salt marsh.
• The Rann Utsav is a cultural festival held annually, showcasing the rich heritage, crafts, music, dance, and cuisine of Gujarat.
• The Rann of Kutch is one of the largest salt deserts in the world, spanning an area of approximately 7,500 square kilometers.
• The festival typically takes place during the winter months (December to February), when the region experiences pleasant weather and clear skies.
• The event attracts tourists globally and provides opportunities for activities such as camel rides, hot air ballooning, and exploring traditional handicrafts.

Additional Information

• Rann of Kutch
• The Rann of Kutch is divided into two parts: the Great Rann and the Little Rann.
• It is known for its unique landscape, consisting of white salt flats that appear like a snow-covered terrain.
• This geographical feature is formed due to the seasonal flooding and evaporation of seawater from the Arabian Sea.
• The region is also home to unique wildlife species, such as the Indian Wild Ass and flamingos.
• Rann Utsav Highlights
• Rann Utsav includes cultural programs, folk music, and dance performances celebrating Gujarat’s traditions.
• Visitors can stay in specially designed tent accommodations and enjoy star-gazing in the serene desert nights.
• The festival promotes local artisans by providing platforms for showcasing handicrafts such as embroidery, pottery, and bandhani textiles.
• Adventure sports like paramotoring, ATV rides, and trekking are popular activities during the event.
• Ecological and Cultural Importance
• The Rann of Kutch serves as a breeding ground for migratory birds, making it an important ecological zone.
• Local communities such as the Rabari and Kutchi tribes are integral to the region, preserving its rich cultural heritage.
• The area is famous for its vibrant festivals, including Navratri and other traditional celebrations apart from Rann Utsav.
• Efforts are being made to promote sustainable tourism in the region to protect its fragile ecosystem.

Given interchange rules:

• ‘÷’ and ‘−’ are interchanged.
• ‘×’ and ‘+’ are interchanged.

The given equation is:

4320 − 96 × 37 + 21 ÷ 372 = ?

After applying the interchange rules, the equation becomes:

4320 ÷ 96 + 37 × 21 − 372 = ?

Now, we solve the equation following the BODMAS rule:

= 4320 ÷ 96 + 37 × 21 − 372

= 45 + 777 − 372

= 822 − 372

= 450

Hence, the correct answer is "Option 4".

Given: Seven boxes, A, B, C, D, E, F and G, are kept one over the other, but not necessarily in the same order.

1. E is kept immediately above G.

2. C is kept immediately above D.

3. Only B is kept above F.

4. Only two boxes are kept above E.

5. C is not kept at the third position from the bottom.

After arranging the boxes, the number of boxes above C is 5.

Hence, the correct answer is "Option 2".

Given Expression: P + Q x R - S ÷ T

P + Q: P is the father of Q.

This confirms P is male.

Q x R: Q is the son of R.

This confirms Q is male.

R - S: R is the daughter of S.

This confirms R is female.

S ÷ T: S is the wife of T.

This confirms S is female and T is male.

According to the given information Family Tree Representation:

Therefore, P is the Daughter's husband of T.

Hence, the correct answer is "Option 2"

The correct answer is Goals.

Key Points

• In motivation theory, the term "goals" refers to the objectives or outcomes that individuals value and actively strive to achieve.
• Goals play a critical role in driving human behavior and guiding decision-making, as they provide a sense of direction and purpose.
• The concept of setting and pursuing goals is central to several motivation theories, including Goal-Setting Theory by Edwin Locke and Gary Latham.
• Clear, challenging, and specific goals are known to enhance motivation, focus, and performance, particularly when paired with feedback and self-monitoring.
• Goals can be categorized into short-term, medium-term, and long-term objectives, depending on the timeline and scope of the desired outcome.

Additional Information

• Goal-Setting Theory:
• Proposed by Edwin Locke in the 1960s, this theory emphasizes the importance of setting specific, challenging goals to increase motivation and performance.
• According to the theory, goals must be clear, measurable, and time-bound to be effective.
• Providing feedback and recognizing progress are essential elements of successful goal achievement.
• Intrinsic vs. Extrinsic Motivation:
• Intrinsic motivation arises from internal factors, such as personal satisfaction or enjoyment derived from the activity itself.
• Extrinsic motivation is driven by external rewards, such as money, recognition, or avoiding punishment.
• Both types of motivation can influence goal-setting and achievement.
• Maslow’s Hierarchy of Needs:
• Abraham Maslow’s theory suggests that human motivation is driven by a hierarchy of needs, starting with basic physiological needs and progressing to self-actualization.
• Goals often align with fulfilling these needs, such as financial stability, relationships, or personal growth.
• SMART Goals:
• The SMART framework ensures that goals are Specific, Measurable, Achievable, Relevant, and Time-bound.
• This approach is widely used in personal development, education, and organizational management to enhance goal clarity and attainability.
• Self-Determination Theory (SDT):
• SDT emphasizes the role of autonomy, competence, and relatedness in fostering intrinsic motivation and achieving goals.
• It highlights the importance of aligning goals with personal values and interests for sustained motivation.

Given: 

Mr C starts from Point A and drives 5 km towards the West.

He then takes a right turn, drives 11 km, turns right and drives 3 km.

He then takes a left turn and drives 4 km. He then takes a right turn, drives 3 km.

He then takes a final right turn drives 15 km and stops at Point B.

Thus, he 1 km towards the West drive in order to reach Point A again.

Hence, the correct answer is "Option 4".

The correct answer is Udhampur.

Key Points

• The Himalayan High Altitude Atmospheric and Climate Research Centre was inaugurated on 8^th April 2025 in the Udhampur district of Jammu and Kashmir.
• The centre aims to study atmospheric and climatic changes in the Himalayan region, which is highly sensitive to global climate change.
• It will serve as a key research hub for monitoring weather patterns, air quality, and greenhouse gas emissions in high-altitude environments.
• The facility is equipped with advanced instruments to track and analyze microclimatic changes and their impact on biodiversity, water resources, and glacial health.
• This initiative is part of India’s efforts to enhance scientific research on climate resilience and its impact on socio-economic and ecological systems.

Additional Information

• Climate Change in the Himalayas
• The Himalayan region is often referred to as the "Third Pole" due to its vast glacial cover, which is a vital source of freshwater for millions of people.
• Rising temperatures and erratic weather patterns have accelerated the melting of glaciers, leading to increased risks of glacial lake outburst floods (GLOFs).
• Studies indicate that the Himalayas are warming at a faster rate than the global average, making it a crucial area for climate research.
• High-Altitude Atmospheric Research
• High-altitude research involves studying atmospheric components such as aerosols, clouds, and greenhouse gases, which significantly impact weather and climate systems.
• Such studies help in understanding the role of aerosols in cloud formation and precipitation patterns.
• Impact on Biodiversity
• The Himalayas host a rich array of flora and fauna, many of which are endemic to the region.
• Climate change poses a threat to this biodiversity, leading to shifts in species distribution and habitat loss.
• India’s Climate Research Initiatives
• India has established several high-altitude research stations, including the Himadri station in the Arctic, to study global climate interactions.
• These initiatives align with India’s commitment to the Paris Agreement on climate change and sustainable development goals.

The correct answer is Madhya Pradesh.

Key Points

• The Bhil tribal community is one of the largest indigenous communities in India and is primarily concentrated in Madhya Pradesh, followed by Rajasthan, Gujarat, and Maharashtra.
• Bhil tribes in Madhya Pradesh are known for their traditional art forms, including the famous Pithora paintings, which reflect their cultural heritage.
• Madhya Pradesh has a significant population of Bhils, especially in regions like the Malwa, Nimar, and Jhabua districts.
• The Bhil community primarily depends on agriculture, hunting, and forest produce for their livelihood and has a deep connection with nature.
• They are recognized as a Scheduled Tribe under the Indian Constitution, which entitles them to special benefits and protections.

Additional Information

• Bhil Tribe
• The term "Bhil" originates from the word "Billu," which means bow, as Bhils were traditionally skilled archers.
• They are classified as one of the largest tribal groups in India, with a population spread across several states.
• The Bhil community has its own distinct language, customs, and traditions, contributing to India's cultural diversity.
• They practice animism and have a rich tradition of folklore and oral storytelling.
• Scheduled Tribes in India
• Scheduled Tribes (STs) are officially designated groups under the Indian Constitution, recognized for their socio-economic disadvantages.
• The government provides various schemes, reservations, and welfare programs to uplift ST communities.
• India has a diverse tribal population, with each group having its own culture, language, and traditions.
• Pithora Paintings
• Pithora paintings are traditional murals created by Bhil and other tribal communities, depicting their beliefs and customs.
• These artworks are often created on the walls of houses and are considered sacred.
• The paintings use vibrant colors and feature themes like nature, animals, and gods.
• Forest Rights Act, 2006
• The Forest Rights Act recognizes the rights of forest-dwelling communities, including tribes like Bhils, over forest land and resources.
• It aims to empower tribal populations by granting them legal rights to land and forest produce.

Shortcut Trick

Annual Interest = Total Interest ÷ Time = 500 ÷ 10 = ₹50

Rate % = (Annual Interest ÷ Principal) × 100

Rate % = (50 ÷ 1250) × 100 = 4%

∴ The correct answer is 4%.

Alternate Method

Given:

Principal (P) = ₹1,250

Simple Interest (SI) = ₹500

Time (T) = 10 years

Formula Used:

Simple Interest (SI) = (P × R × T) ÷ 100

Calculations:

⇒ 500 = (1250 × R × 10) ÷ 100

⇒ 500 = (12500 × R) ÷ 100

⇒ 500 = 125 × R

⇒ R = 500 ÷ 125

⇒ R = 4%

∴ The correct answer is 4%.

Additional Information

Simple Interest (SI) Formula

The basic formula for Simple Interest is SI = (P × R × T) ÷ 100, where P is Principal, R is Rate per annum, and T is Time in years.

Total Amount Formula

The Amount (A) at the end of the period is the sum of the Principal and the Interest: A = P + SI = P(1 + RT ÷ 100).

Time Calculation

To find the Time period when other values are known: T = (SI × 100) ÷ (P × R).

Principal Calculation

To find the Principal when interest, rate, and time are known: P = (SI × 100) ÷ (R × T).

The logic followed here is:

Option (1): NQL

Option (2): EHB

Option (3): HKF

Option (4): KNI

Hence, the correct answer is "Option 2".

Shortcut Trick

Percentage of Sudha = (Sudha's marks ÷ Kalpana's marks) × Kalpana's %

⇒ Percentage = (720 ÷ 624) × 26%

⇒ Percentage = (15 ÷ 13) × 26% = 15 × 2% = 30%

∴ The correct answer is 30%.

Alternate Method

Given:

Marks obtained by Kalpana = 624

Percentage obtained by Kalpana = 26%

Marks obtained by Sudha = 720

Calculation:

⇒ Let the Total Marks of the examination be x.

⇒ According to the question, 26% of x = 624

⇒ (26 ÷ 100) × x = 624

⇒ x = (624 × 100) ÷ 26

⇒ x = 24 × 100 = 2400

⇒ Percentage of Sudha = (Marks obtained ÷ Total marks) × 100

⇒ Percentage = (720 ÷ 2400) × 100

⇒ Percentage = 720 ÷ 24 = 30%

∴ The correct answer is 30%.

Additional Information

Percentage Change

To find the percentage increase or decrease: Change % = (Difference ÷ Original Value) × 100.

Base Change Property

If person A scores x% marks and person B scores y% marks, the ratio of their marks is equal to the ratio of their percentages.

Pass Marks Calculation

If a student fails by 'a' marks or passes by 'b' marks, Total Marks = (Difference in marks ÷ Difference in %) × 100.

The correct answer is Justice Arun Mishra.

Key Points

• Justice Arun Mishra was appointed as the Ombudsman and Ethics Officer of the Board of Control for Cricket in India (BCCI) in January 2025.
• The Ombudsman and Ethics Officer position in BCCI is crucial for addressing disputes and ethical issues within the organization.
• Justice Arun Mishra is a former Supreme Court judge known for his significant judgments during his tenure.
• His appointment reflects the BCCI’s commitment to ensuring transparency and ethical governance in Indian cricket administration.

Additional Information

• Ombudsman Role:
• An Ombudsman is an independent official appointed to investigate complaints and disputes within organizations.
• In the context of BCCI, the Ombudsman handles issues related to players, officials, and stakeholders in cricket.
• Ethics Officer Role:
• The Ethics Officer ensures adherence to ethical practices and addresses conflicts of interest within the BCCI.
• This role is vital for maintaining the integrity of cricket administration and governance.
• BCCI Governance:
• The Board of Control for Cricket in India is the governing body for cricket in India, responsible for organizing domestic and international matches.
• It operates under guidelines set by the International Cricket Council (ICC).
• Judiciary and Cricket Administration:
• Retired judges are often appointed to key roles in sports governance to bring impartiality and legal expertise.
• Such appointments aim to ensure fair decision-making and conflict resolution within sports organizations.

The correct answer is Selling government stakes in public sector enterprises.

Key Points

• Disinvestment refers to the process of selling or liquidating government-owned stakes in public sector enterprises (PSEs).
• The primary objective of disinvestment in India is to reduce the financial burden on the government and encourage private sector participation in the economy.
• It is an essential tool for privatization, wherein ownership or control of public sector enterprises is transferred, fully or partially, to private entities.
• The disinvestment policy is implemented by the Department of Investment and Public Asset Management (DIPAM) under the Ministry of Finance.
• Disinvestment helps in unlocking the value of investments in public enterprises, ensuring efficient utilization of resources and boosting economic growth.

Additional Information

• Types of Disinvestment:
• Minority Disinvestment: The government retains more than 50% ownership, ensuring control over the enterprise.
• Majority Disinvestment: The government sells a majority stake, transferring control to private entities.
• Complete Disinvestment: The government sells its entire stake, resulting in full privatization of the enterprise.
• DIPAM (Department of Investment and Public Asset Management):
• DIPAM is responsible for managing the disinvestment process.
• It ensures transparency, efficiency, and compliance during the sale of government stakes in public sector enterprises.
• Notable Disinvestment Examples:
• Privatization of Air India in 2021, wherein Tata Group acquired 100% of the government’s stake.
• Partial disinvestment of Bharat Petroleum Corporation Limited (BPCL).
• Benefits of Disinvestment:
• Reduces the fiscal deficit and generates revenue for the government.
• Encourages private sector efficiency and competitiveness.
• Frees up government resources for developmental projects.
• Challenges of Disinvestment:
• Opposition from labor unions and political stakeholders.
• Concerns over undervaluation and loss of strategic assets.
• Need to balance privatization with social welfare objectives.

The correct answer is Syria.

Key Points

• The interim president of Syria met with the Iraqi Prime Minister in Qatar in April 2025 to discuss matters of regional cooperation and stability.
• This meeting highlighted Syria's transitional leadership and its efforts to rebuild diplomatic ties in the region after years of civil conflict.
• Iraq and Syria share historical, cultural, and political linkages, making their bilateral relations significant for regional peace and security.
• Qatar acted as the host nation for this diplomatic dialogue, showcasing its role as a mediator in Middle Eastern geopolitics.
• This meeting emphasized the importance of rebuilding regional alliances and addressing shared concerns like counter-terrorism and economic collaboration.

Additional Information

• Interim President:
• An interim president is a temporary leader appointed during a transitional period, often following political upheaval or constitutional changes.
• In Syria's case, the interim presidency reflects efforts to stabilize governance amidst post-conflict reconstruction.
• Syria-Iraq Relations:
• Syria and Iraq share a long border and have faced common challenges, including terrorism and political instability.
• Both nations are part of the Arab League and have cooperated in various regional initiatives.
• Qatar's Role in Diplomacy:
• Qatar has positioned itself as a neutral mediator in Middle Eastern conflicts and diplomatic negotiations.
• It frequently hosts high-profile meetings and peace talks to foster regional stability.
• Regional Cooperation:
• Cooperation among Middle Eastern countries is critical for addressing shared issues such as security, economic development, and migration.
• Meetings like this aim to strengthen alliances and foster collaborative solutions to pressing challenges.

The logic followed here is:                                                                                                                                                                                                                   

Thus, the missing term in the series is 91.

Hence, the correct answer is "Option 4".

The correct answer is Building a Just World and a Sustainable Planet.

Key Points

• The theme of the 2024 G20 Summit in Brazil is "Building a Just World and a Sustainable Planet."
• It emphasizes global collaboration to tackle issues like climate change, inequality, and sustainable development.
• The focus is on fostering inclusive growth, social justice, and environmental sustainability.
• Brazil, as the host nation, aims to integrate regional and global priorities to ensure equitable development.
• This theme aligns with the overarching goals of the G20, including strengthening economic resilience and promoting sustainable practices.

Additional Information

• G20 Overview:
• The G20 is an international forum comprising 19 countries and the European Union, representing major economies worldwide.
• It addresses global economic challenges and promotes international financial stability.
• G20 members collectively account for over 80% of global GDP and 75% of international trade.
• Sustainable Development Goals (SDGs):
• The SDGs are a set of 17 global objectives adopted by the United Nations to achieve a better and sustainable future for all.
• They include goals like poverty eradication, climate action, and reduced inequalities.
• The 2024 G20 theme reflects commitments to SDG implementation.
• Climate Change and Global Cooperation:
• Climate change is one of the most pressing issues globally, requiring coordinated international efforts.
• The G20 plays a critical role in driving policies for carbon neutrality and renewable energy adoption.
• Brazil's Role in Global Leadership:
• Brazil has been an advocate for sustainable development and addressing social disparities.
• Hosting the 2024 G20 Summit allows Brazil to showcase its leadership in balancing economic growth with environmental protection.

The correct answer is 2020.

Key Points

• The Aatma Nirbhar Bharat Abhiyan (Self-Reliant India Campaign) was launched by the Indian government in May 2020.
• It aimed to make India self-reliant by promoting local manufacturing, supply chains, and innovation.
• The campaign was introduced as a response to the economic impact of the COVID-19 pandemic.
• The government announced a ₹20 lakh crore economic package (equivalent to 10% of India's GDP) under this initiative.
• The campaign focuses on five pillars: Economy, Infrastructure, System, Vibrant Demography, and Demand.

Additional Information

• Aatma Nirbhar Bharat Package:
• The package was announced in five tranches, focusing on sectors such as MSMEs, agriculture, health, and education.
• Measures included credit guarantees, tax reliefs, and direct benefit transfers to support businesses and individuals.
• Special focus was given to promoting local industries under the "Vocal for Local" initiative.
• Reforms under the Campaign:
• Structural reforms in agriculture, labor laws, and public sector enterprises were introduced.
• FDI limits in defense manufacturing were increased to promote domestic production.
• Focus was laid on enhancing the ease of doing business in India.
• Key Sectors Targeted:
• Healthcare: Strengthening healthcare infrastructure and promoting indigenous production of medical equipment.
• Agriculture: Enhancing supply chain efficiency and improving market access for farmers.
• Technology: Boosting digital infrastructure and promoting startups in tech-driven sectors.
• Impact and Vision:
• The initiative aims to reduce import dependency and position India as a global manufacturing hub.
• It aligns with the vision of a $5 trillion economy by 2024-25.
• The campaign promotes sustainability, innovation, and economic resilience in the long run$.

The correct answer is Option 2: Statements 1 and 2 only.

Key Points

• Statement 1: The Supreme Court has clarified that prolonged incarceration without trial can be a valid ground for granting bail under PMLA-2002, despite the twin conditions under Section 45.
• Statement 2: In a recent judgment related to Arvind Kejriwal’s case, the Court emphasized that the legality of arrest must consider both the "need and necessity" of the arrest and the "reasons to believe" clause.
• Statement 3: Not correct. The Court did not declare "bail is the exception, jail the rule" as applicable to money laundering cases under PMLA.
• The correct interpretation of the Supreme Court’s developments on PMLA bail focuses on ensuring fair trial rights while balancing the stringent provisions of Section 45.

Additional Information

• PMLA, 2002: The Prevention of Money Laundering Act was enacted to prevent money laundering and confiscate property derived from such activities.
• Section 45: It imposes twin conditions for granting bail, requiring the court to be satisfied that (1) the accused is not guilty and (2) they are unlikely to commit any offense while on bail.
• Prolonged Incarceration: The Supreme Court has increasingly recognized that prolonged pre-trial detention violates the right to a fair and speedy trial under Article 21 of the Indian Constitution.
• Need and Necessity Test: Introduced by the Supreme Court, this test evaluates whether an arrest is essential and proportionate, rather than routine, particularly in economic offenses.
• Stringent Bail Laws: The PMLA’s stringent provisions reflect the seriousness of money laundering offenses, which have cross-border implications and impact national security.

Shortcut Trick

Given 2B − 2A = 20 ⇒ B − A = 10.

Substitute B = A + 10 in 9A + 8B = 148: 9A + 8(A + 10) = 148 ⇒ 17A = 68 ⇒ A = 4.

Then B = 14. Sum of present ages = 18 years.

Sum after 6 years = 18 + 2 × 6 = 30 years.

∴ The correct answer is 30 years.

Alternate Method

Given:

Let the present age of A be x and B be y.

⇒ 9x + 8y = 148 --- (Equation 1)

⇒ 2y − 2x = 20 ⇒ y − x = 10 ⇒ y = x + 10 --- (Equation 2)

Calculations:

⇒ Substitute Equation 2 in Equation 1:

⇒ 9x + 8(x + 10) = 148

⇒ 9x + 8x + 80 = 148

⇒ 17x = 68

⇒ x = 4 years

⇒ y = 4 + 10 = 14 years

⇒ Sum of ages 6 years from now = (x + 6) + (y + 6)

⇒ Sum = (4 + 6) + (14 + 6) = 10 + 20 = 30 years

∴ The correct answer is 30 years.

Additional Information

Linear Equations in Two Variables

Solve using substitution or elimination methods to find individual age values from given conditions.

Ages after 'n' years

If present age is X, age after n years is X + n. For sum of two people, add 2n to the present total sum.

Age Difference Property

The difference between ages of two people remains constant throughout their lives.

Shortcut Trick

Ratio of A : B : C : D is 14 : 7 : 11 : 10.

Difference between C and B in ratio units = 11 − 7 = 4 units.

Given, 4 units = ₹196 → 1 unit = ₹49.

Share of A = 14 units = 14 × 49 = ₹686.

∴ The correct answer is ₹686.

Alternate Method

Given:

Ratio of A : B : C : D = 14 : 7 : 11 : 10

Let the shares be 14x, 7x, 11x, and 10x.

Calculations:

⇒ Share of C − Share of B = 196

⇒ 11x − 7x = 196

⇒ 4x = 196

⇒ x = 196 ÷ 4 = 49

⇒ Share of A = 14x = 14 × 49

⇒ Share of A = 686

∴ The correct answer is ₹686.

Additional Information

Ratio and Proportion

If a sum S is divided in the ratio a:b:c, then the share of the first part is [a / (a + b + c)] × S.

Difference Rule

The difference between any two shares in a ratio is proportional to the difference in their respective ratio terms.

Shortcut Trick

Let the cost price for A be 100 units.

A sells to B at 60% loss ⇒ B CP = 100 − 60 = 40 units.

B sells to C at 25% profit ⇒ C CP = 40 × (125 ÷ 100) = 50 units.

Given 50 units = ₹42,206.

100 units = 42,206 × 2 = ₹84,412.

∴ The correct answer is ₹84,412.

Alternate Method

Given: CP of C = ₹42,206, Loss of A = 60%, Profit of B = 25%.

Formulas: SP = CP × (100 ± P/L%) ÷ 100

⇒ Let CP of A be x.

⇒ x × (100 − 60)/100 × (100 + 25)/100 = 42,206

⇒ x × (40/100) × (125/100) = 42,206

⇒ x × (2/5) × (5/4) = 42,206

⇒ x × (1/2) = 42,206

⇒ x = 42,206 × 2 = 84,412

∴ The correct answer is ₹84,412.

Additional Information

Successive Transactions

When an item is sold through multiple hands, the Final Price = Initial Price × (100 ± r₁)/100 × (100 ± r₂)/100.

Effective Gain or Loss

Net percentage change = a + b + (ab/100), where loss is negative and profit is positive.

The correct answer is Statutory status under State Law.

Key Points

• Prior to the 73^rd and 74^th Constitutional Amendments in 1992, Local Governments in India functioned based on statutory provisions enacted by the respective State Legislatures.
• The Local Government bodies, such as Panchayats and Municipalities, did not have constitutional recognition and were established or dissolved at the discretion of state governments.
• Local Governments were governed by state-specific laws, resulting in varying frameworks and powers across different states.
• The absence of constitutional status meant that Local Governments lacked autonomy and were primarily dependent on state governments for finances and functional authority.
• The 1992 constitutional amendments (73^rd and 74^th) granted these bodies a constitutional mandate, ensuring uniformity, autonomy, and empowerment for self-governance.

Additional Information

• 73^rd Constitutional Amendment Act (1992):
• It granted constitutional status to Panchayati Raj Institutions (PRIs).
• Introduced a three-tier system of Panchayats at the village, intermediate, and district levels.
• Mandated regular elections, reservation for women and marginalized groups, and the establishment of the State Election Commission.
• 74^th Constitutional Amendment Act (1992):
• It provided constitutional recognition to Urban Local Bodies (ULBs) such as Municipalities.
• Defined the structure, composition, and powers of ULBs to ensure urban self-governance.
• Introduced provisions for Metropolitan Planning Committees and District Planning Committees.
• Statutory Status:
• Refers to the status granted to institutions or entities through ordinary legislation passed by a legislative body, such as a State Legislature.
• Unlike constitutional status, statutory status can be modified or revoked by amending the enabling legislation.
• Autonomy of Local Governments Post-1992:
• Post-1992, Local Governments gained autonomy in decision-making and financial matters.
• They were mandated to prepare plans for economic development and social justice as per the Constitution.

The correct answer is Bhubaneswar.

Key Points

• The 18^th Pravasi Bharatiya Divas (PBD) Convention is scheduled to be hosted in Bhubaneswar, Odisha, in January 2025.
• The Pravasi Bharatiya Divas Convention is celebrated biennially to strengthen the engagement of the Indian diaspora with their homeland.
• Bhubaneswar, the capital city of Odisha, has been chosen for its historical and cultural significance and its ability to host large-scale international events.
• Pravasi Bharatiya Divas marks the return of Mahatma Gandhi from South Africa to India on 9 January 1915, symbolizing the contribution of the Indian diaspora to the nation's development.
• The event typically features discussions, cultural programs, and awards recognizing the contributions of Non-Resident Indians (NRIs) and Persons of Indian Origin (PIOs).

Additional Information

• Historical Background of Pravasi Bharatiya Divas (PBD):
• The first Pravasi Bharatiya Divas was celebrated on 9 January 2003 in New Delhi.
• The event was conceptualized to acknowledge the contributions of the Indian diaspora in their respective fields worldwide.
• The Ministry of External Affairs organizes the event in collaboration with state governments and other stakeholders.
• Bhubaneswar's Importance:
• Bhubaneswar is known as the "City of Temples" and is a key cultural hub in India.
• It is also a fast-growing city with modern infrastructure, making it an ideal location for international conventions.
• Key Objectives of Pravasi Bharatiya Divas:
• To connect the Indian diaspora with the government and people of India.
• To discuss key issues related to NRIs and PIOs, including their role in India's socio-economic development.
• To honor exemplary contributions of overseas Indians through the Pravasi Bharatiya Samman Awards.
• Pravasi Bharatiya Samman Awards (PBSA):
• PBSA is the highest honor conferred on NRIs, PIOs, or organizations/institutions run by them.
• The awards recognize their outstanding achievements in enhancing India's image globally or their contributions to Indian society.

Given: A, B, C, D, E, F, and G are sitting around a circular table facing the centre.

Only one person sits between G and E when counted from the right of G.

Only one person sits between E and B. Only one person sits between G and F.

Only two people sit between C and B. Only one person sits between D and F.

Thus, Only two people sit between A and D when counted from the right of D.

Hence, the correct answer is "option 4".

The correct answer is Southern East Coast.

Key Points

• The Coromandel Coast is located along the southeastern part of India, spanning the states of Tamil Nadu and Andhra Pradesh.
• It lies between the Eastern Ghats and the Bay of Bengal.
• The coast is known for its fertile soil and is a major agricultural region, producing crops such as rice, millet, and pulses.
• Prominent cities along the Coromandel Coast include Chennai, Puducherry, and Cuddalore.
• The region experiences a tropical climate and receives most of its rainfall during the northeast monsoon season (October to December).

Additional Information

• Terminology:
• The term "Coromandel" is derived from the ancient Tamil word "Chola Mandal", referring to the region ruled by the Chola dynasty.
• Geographical Features:
• The coast features extensive sandy beaches and lagoons, such as the famous Pulicat Lake.
• It is prone to cyclones originating in the Bay of Bengal.
• Historical Significance:
• The Coromandel Coast played a vital role in maritime trade during the colonial period, especially under the Portuguese, Dutch, and British.
• It was a center for the export of textiles and spices.
• Tourism:
• Key tourist attractions along the coast include Mahabalipuram, known for its UNESCO World Heritage temples, and Puducherry, renowned for its French colonial architecture.
• It is a popular destination for beach tourism in India.

The correct answer is Ctrl + N.

Key Points

• The keyboard shortcut Ctrl + N is used in MS PowerPoint to create a new blank presentation instantly.
• Upon pressing Ctrl + N, a new presentation opens with the default template applied.
• This shortcut is universally recognized across different versions of MS PowerPoint, ensuring ease of use for users.
• Using shortcuts like Ctrl + N helps in improving workflow efficiency and reduces the dependency on mouse navigation.
• Similar shortcuts exist in other Microsoft Office applications like Word and Excel, where Ctrl + N is used to create new blank documents or spreadsheets.

Additional Information

• Keyboard Shortcuts in MS PowerPoint:
• Ctrl + O: Opens an existing presentation.
• Ctrl + S: Saves the current presentation.
• Ctrl + P: Opens the print dialog box for the presentation.
• Ctrl + M: Inserts a new slide in the current presentation.
• Importance of Shortcuts:
• Keyboard shortcuts save time and help users to work more efficiently.
• They reduce the dependency on mouse usage, allowing for smoother navigation.
• MS PowerPoint Overview:
• MS PowerPoint is a widely used presentation software developed by Microsoft.
• It allows users to create slideshows composed of text, images, videos, and animations.
• First launched in 1987, it is a part of the Microsoft Office suite.
• Other Related Applications:
• MS Word: Used for creating text-based documents.
• MS Excel: Used for data organization, analysis, and creating spreadsheets.
• MS Outlook: Used for managing emails, calendars, and tasks.

Shortcut Trick

Put A = 0° as the expression is valid for all values of A.

sin 0° = 0, cos 0° = 1, sec 0° = 1, tan 0° = 0.

⇒ 7 × sec 0° (1 + sin 0°) (sec 0° − tan 0°) − 4

⇒ 7 × 1 (1 + 0) (1 − 0) − 4 = 7 × 1 × 1 × 1 − 4 = 7 − 4 = 3.

∴ The correct answer is 3.

Alternate Method

Given: 7sec A (1 + sin A) (sec A − tan A) − 4

Formula Used: sec A = 1/cos A, tan A = sin A/cos A, (a + b)(a − b) = a² − b², 1 − sin²A = cos²A

⇒ 7sec A (1 + sin A) (1/cos A − sin A/cos A) − 4

⇒ 7sec A (1 + sin A) [(1 − sin A) / cos A] − 4

⇒ 7sec A [(1 + sin A)(1 − sin A) / cos A] − 4

⇒ 7sec A [(1 − sin²A) / cos A] − 4

⇒ 7(1/cos A) [cos²A / cos A] − 4

⇒ 7(1/cos A) × cos A − 4

⇒ 7 − 4 = 3

∴ The correct answer is 3.

Additional Information

Trigonometric Identities

sin²A + cos²A = 1, sec²A − tan²A = 1, and cosec²A − cot²A = 1.

Value Substitution Method

In trigonometric expressions with no conditions, substituting standard angles like 0°, 30°, 45° often yields the result quickly.

Given:

Simplify: 2 $\dfrac{2}{9}$ × 2 $\dfrac{2}{3}$ × 567 + 8 $\dfrac{3}{4}$

Formula used:

Mixed Fraction: a $\dfrac{b}{c}$ = $\dfrac{ac + b}{c}$

Calculation:

Step 1: Convert mixed fractions into improper fractions.

2 $\dfrac{2}{9}$ = $\dfrac{(2×9)+2}{9}$ = $\dfrac{20}{9}$

2 $\dfrac{2}{3}$ = $\dfrac{(2×3)+2}{3}$ = $\dfrac{8}{3}$

8 $\dfrac{3}{4}$ = $\dfrac{(8×4)+3}{4}$ = $\dfrac{35}{4}$

Step 2: Simplify the expression.

Expression: $\dfrac{20}{9} × \dfrac{8}{3} × 567 + \dfrac{35}{4}$

⇒ $\dfrac{20}{9} × \dfrac{8}{3} × 567 = \dfrac{20×8×567}{9×3}$

⇒ $\dfrac{20×8×567}{27} = \dfrac{90720}{27}$

⇒ $\dfrac{90720}{27} = 3360$

Adding $\dfrac{35}{4}$:

⇒ $3360 + \dfrac{35}{4} = \dfrac{(3360×4)+35}{4}$

⇒ $\dfrac{13440+35}{4} = \dfrac{13475}{4}$

⇒ $\dfrac{13475}{4} = 3368.75$

∴ The correct answer is option (3).

The solution for the given number/symbol coding problem is as follows.

Given: 536+8?

Conditions: 

I) If the first element is a symbol and the last a number, then the codes for these two (the first and the last elements) are to be interchanged.

II) If the first element is an odd number and the last element is an even number, then the first and last elements are to be coded as @.

III) If both the second and third elements are perfect square roots, the third element is to be coded as the code for the second element.

Here, condition ii followed,

536+8

The code for 5 is @.

The code for 3 is C.

The code for 6 is V.

The code for + is P.

The code for 8 is @.

Thus, the code for 536+8 is @CPJ@.

Hence, the correct answer is "Option 1".$

The pattern followed here is that each letter of the first term is shifted backward by 6 positions. The pattern can be summarized as (-6, -6, -6, -6).

For: TLOS : NFIM

For**: VNQU : PHKO**

Applying the same logic to XPSW:

Thus, XPSW is related to RJMQ.

Hence, the correct answer is "Option 1".

The correct answer is Iron and steel.

Key Points

• Iron and steel industry is classified as a mineral-based industry since it uses iron ore, a mineral, as its primary raw material.
• Iron and steel are essential materials for industrial development and are used in infrastructure, manufacturing, and construction activities.
• The iron and steel industry is often considered the backbone of industrialization due to its role in producing machinery, transportation vehicles, and buildings.
• India is one of the largest producers of steel globally, with major steel plants located in cities like Jamshedpur, Bhilai, and Rourkela.
• The industry also contributes significantly to employment generation and GDP growth in mineral-rich regions.

Additional Information

• Mineral-Based Industries:
• These industries depend on minerals as their primary raw materials for production.
• Examples include iron and steel, cement, aluminum, and petrochemical industries.
• Iron Ore:
• It is a naturally occurring mineral used to extract iron for industrial applications.
• India's major iron ore reserves are found in Odisha, Jharkhand, Chhattisgarh, Karnataka, and Goa.
• Steel Production Process:
• Involves several stages, including mining, smelting, refining, and rolling.
• Modern techniques include Blast Furnace and Electric Arc Furnace methods.
• Importance of Steel:
• Steel is vital for infrastructure development, such as bridges, railways, and airports.
• It is also used in the automotive, defense, and energy sectors.

Shortcut Trick

For an algebraic expression of the form x + 1/x = k, the value of x² + 1/x² is given by the formula k² − 2.

Given: x + 1/x = 11, so k = 11.

⇒ x² + 1/x² = 11² − 2

⇒ 121 − 2 = 119

∴ The correct answer is 119.

Alternate Method

Given: x + 1/x = 11

To find the value of x² + 1/x², we use the square identity:

Formula: (a + b)² = a² + b² + 2ab

⇒ (x + 1/x)² = (11)²

⇒ x² + (1/x)² + 2 × x × (1/x) = 121

⇒ x² + 1/x² + 2 = 121

⇒ x² + 1/x² = 121 − 2

⇒ x² + 1/x² = 119

∴ The correct answer is 119.

Additional Information

Negative Sign Identity

If x − 1/x = k, then x² + 1/x² = k² + 2.

Cubic Identity

If x + 1/x = k, then x³ + 1/x³ = k³ − 3k.

Higher Power (Fourth)

To find x⁴ + 1/x⁴, square the value of (x² + 1/x²) and subtract 2.

Given:

The number is 63458791.

Arranging the digits of the number 63458791 in descending order from left to right:

Comparing the positions:

Only one digit (1) remains in the same position.

Hence, the correct answer is "Option 1".