MP Police Constable : (27 Nov 2025, Shift 1) Memory-Based Paper (Previous Year Paper)

The correct answer is His minimum age should be 35 years.

Key Points

• The Attorney General of India must be a citizen of India.
• He/she should have been a judge of a High Court for at least five years or an advocate in a High Court for at least ten years.
• There is no minimum age requirement for the Attorney General of India, hence the age of 35 years is not mandatory.
• The Attorney General should be a person who is qualified to be appointed as a judge of the Supreme Court.

Additional Information

• Attorney General of India:
• The Attorney General is the chief legal advisor to the Government of India.
• The Attorney General has the right to speak and take part in the proceedings of both Houses of Parliament, but without a right to vote.
• The office of the Attorney General of India is a constitutional office created under Article 76 of the Constitution.
• Qualifications:
• He/she must be qualified to be appointed as a judge of the Supreme Court.
• This means he/she should be an advocate of a High Court for at least ten years or a judge of a High Court for at least five years.
• Appointment and Duties:
• The Attorney General is appointed by the President of India.
• He/she provides legal advice to the government of India and performs other legal duties assigned by the President.

The correct option is AERA.

Key Points

• Airports Economic Regulatory Authority (AERA)
• It is a regulatory agency under the Government of India to regulate tariffs and other expenditures & fees for major airports.
• It is a statutory body constituted under the Airports Economic Regulatory Authority of India Act (AERA), 2008.
• IATA:
• The International Air Transport Association (IATA) is the trade association for the world’s airlines, representing some 290 airlines or 82% of total air traffic.
• IATA is led by Willie Walsh, Director General & CEO since April 2021.
• Its headquarters is located in Canada.
• IATA supports many areas of aviation activity and helps formulate industry policy on critical aviation issues.​
• IATA has been described as a cartel since, in addition to setting technical standards for airlines, IATA also organized tariff conferences that served as a forum for price-fixing.
• DGCA:
• The Directorate General of Civil Aviation (DGCA) is the statutory body formed under the Aircraft (Amendment) Bill, 2020.
• This directorate investigates aviation accidents and incidents.
• It is headquartered along Sri Aurobindo Marg, opposite Safdarjung Airport, in New Delhi.
• The Government of India is planning to replace the organization with a Civil Aviation Authority (CAA).

Given equation: 20 + 6 x 5 ÷ 20 - 14 = ?

On replacing the symbol:

20 × 6 ÷ 5 - 20 + 14 = ?

→ 20 × 1.2 - 20 + 14

→ 24 - 20 + 14

→ 38 - 20

→ 18

Hence, answer is ‘18’.

Given

Price reduced of pulses = 40%

4 kg more pulses purchased in Rs. 600

Calculation

Let the original price is Rs. x per kg

Quantity purchased = 600/x

New price = (100 - 40)% of x

60% of x 

⇒ 3x/5

Quantity purchased = 600/(3x/5)

⇒ [600/(3x/5)] - (600/x) = 4

⇒ (600 × 5/3x) - (600/x) = 4

⇒ (1000/x) - (600/x) = 4

⇒ 400/x = 4

⇒ 400/4 = x

⇒ 100 = x

∴ Original price is Rs. 100 per kg

We know that 40% = 2/5

Let the original price of pulse be 5 units 

Reduced price = 5 - 2 = 3 units 

Price is inversely proportional to consumption 

Original consumption = 3 units 

Increased consumption = 5 units 

Consumer can buy 4 kg

2 units = 4 kg 

1 unit = 2 kg

Original consumption = 3 × 2 = 6 kg 

Increased consumption = 5 × 2 = 10 kg

∴ Original price = 600/6 = Rs. 100 per kg

The correct answer is Seventh Schedule.

Important Points

Here are the explanations for each option:

• Third Schedule:
• The third schedule of the Indian Constitution contains the forms of oath and affirmation for:
• Union Ministers of India
• Parliament Election Candidates
• Members of Parliament (MPs)
• Supreme Court Judges
• Comptroller and Auditor General
• State Ministers
• State Legislature Elections’ Candidates
• State Legislature Members
• High Court Judges
• Fifth Schedule:
• The Fifth Schedule of the Constitution deals with the administration and control of Scheduled Areas and Scheduled Tribes. It provides for the appointment of Tribal Advisory Councils to assist in the administration of these areas and for the protection of the rights of Scheduled Tribes.
• Seventh Schedule:
• The Seventh Schedule of the Constitution deals with the allocation of powers and functions between the Union and the States, as explained in the previous answer.
• Tenth Schedule:
• The Tenth Schedule of the Constitution is also known as the Anti-Defection Law. It was added by the 52^nd Amendment Act, 1985 and contains provisions to prevent elected members of Parliament and State Legislatures from changing parties after the election. It provides for the disqualification of members if they vote or act against the party's directions on certain issues.

The correct answer is Bharat Health Initiative for Sahyog, Hita, and Maitri.

In News

• The Indian Air Force conducted a test of BHISHM portable cubes in Agra for airdrops from aircraft.

Key Points

• BHISHM portable cubes are part of "Project BHISHM" - Bharat Health Initiative for Sahyog, Hita, and Maitri.
• Designed to treat up to 200 casualties, these cubes emphasize rapid response and comprehensive care during emergencies.
• Equipped with innovative tools and integrating Artificial Intelligence (AI) and data analytics, the Aid Cube enables effective coordination and real-time monitoring of medical services.
• Comprising 72 easily transportable components, the cubes can be carried by hand, cycle, or drone, providing unmatched flexibility.
• With the ability to deploy within 12 minutes and being robust, waterproof, and light, the BHISHM portable cubes are suitable for diverse emergency scenarios.

Counting the triangles are there in the given figure:

Hence, the correct answer is "8".

Given:

Simple Interest (S.I) = 400

Principal, P = 4000

Rate of Interest, R = 6%

Formula used:

S.I = (P × R × T)/100

Calculation:

S.I = (P × R × T)/100

⇒ Period, T = (100 × S.I)/(P × R)

⇒ T = (100 × 400)/(4000 × 6) 

⇒ 10/6 years

⇒ T = (10/6) × 12 months

∴ Period = 20 months

The correct answer is Madras.

Key Points

• In India, the First Municipal Corporation was set up in Madras.
• In 1687, the first municipal corporation in India was set up at Madras.
• The Chennai Municipal Corporation (officially the Corporation of Chennai), formerly known as the Corporation of Madras, is the civic body that governs the city of Chennai (formerly Madras), India.
• Inaugurated on September 29, 1688, under a Royal Charter issued by King James II on December 30, 1687, as the Corporation of Madras, it is the oldest municipal body of the Commonwealth of Nations outside Great Britain.
• It is headed by a mayor, who presides over 200 councillors, each of whom represents one of the 200 wards of the city.
• It is also the second oldest corporation in the world.

The correct answer is Lord Canning.

Key Points

• Lord Canning (1856-1862) was the Viceroy of India during the 'Sepoy Mutiny' or the great revolt that took place.
• The Revolt of 1857 is an important landmark in India's history, which occurred during the governor generalship of Lord Canning.
• Sepoy Mutiny or First War of Independence, widespread but unsuccessful rebellion against British rule in 1857.
• Event during his regime - 
• Revolt of 1857
• Establishment of three universities at Calcutta, Madras and Bombay in 1857
• Abolition of East India Company and transfer of control to the Crown by the Government of India Act, 1858
• Indian Councils Act of 1861

Additional Information 

• Grievances of Sepoy:
• Discrimination in payment and promotion.
• Refusal of the British to pay foreign service allowance while fighting in remote regions such as Punjab or Sindh.
• Religious objections of the high caste Hindu sepoys to Lord Canning's General Service Enlistment Act (1856) ordering all recruits to be ready for service both within and outside India.

Clearly, Bat, Balls and Stumps all are sports equipment while Umpire is a person.

Hence, Umpire is odd one.

Given:

a ∶ b = 3 ∶ 4

Concept:

In the given ratio, replace the ratio with a variable and put their value in the given question to get the answer.

Calculation:

Let a be 3x, and b be 4x

Put the values of 'a' and 'b' in the given ratio;

⇒ (7a - 4b) ∶ (8a + 4b)

⇒ [(7 × 3x) - (4 × 4x)] ∶ [(8 × 3x) + (4 × 4x)]

⇒ (21x - 16x) ∶ (24x + 16x)

⇒ 5x ∶ 40x

⇒ 1 ∶ 8

∴ The value is 1 ∶ 8.

The correct answer is - Baba Gurdit Singh

Key Points

• Baba Gurdit Singh
• Baba Gurdit Singh was a prominent figure in the "Komagata Maru" incident, which occurred in 1914.
• The Komagata Maru was a Japanese steamship that carried 376 passengers, mostly Sikhs, from British India to Canada.
• The Canadian government refused to allow the passengers to disembark, enforcing discriminatory immigration laws against Asians.
• Baba Gurdit Singh chartered the ship to challenge these exclusionary laws and was a key leader in this episode.
• The incident highlighted the racial discrimination faced by Indian immigrants and became a significant event in the history of Indian diaspora and the struggle for Indian independence.

Additional Information

• Kartar Singh
• Kartar Singh Sarabha was a key figure in the Indian independence movement and a prominent member of the Ghadar Party.
• He was involved in revolutionary activities against the British rule in India but was not directly associated with the Komagata Maru incident.
• Sardar Rana Singh
• Sardar Rana Singh's contributions to Indian history are not well-documented in mainstream records related to the Komagata Maru incident.
• Lala Hardayal
• Lala Hardayal was a prominent Indian nationalist and one of the founders of the Ghadar Party.
• He played a significant role in promoting the cause of Indian independence but was not directly involved in the Komagata Maru episode.

The correct answer is Westerly jet stream

The westerly Jet Stream, a cold wind which pushes down wind to the surface creating a high pressure on the surface.

Key Points

• These jet streams are located approximately over 27°-30° north latitude, therefore, they are known as subtropical westerly jet streams.
• Over India, these jet streams blow south of the Himalayas, all through the year except in summer.
• The western cyclonic disturbances experienced in the north and north-western parts of the country are brought in by this westerly flow in winters.
• In summer, the subtropical westerly jet stream moves north of the Himalayas with the apparent movement of the sun. Hence, option 4 is correct.

​ 

Additional Information

Jet Stream- is a strong narrow current concentrated along a quasi horizontal axis in the upper troposphere or the stratosphere characterized by strong vertical and lateral wind shear and featuring one or more velocity maxima is called the jet stream.”

• Jet streams are strong, upper tropospheric flows that are quasi horizontal in nature. They originate due to differential heating of the earth’s surface and form at the boundaries of adjacent air masses with significant temperature differences.

Polar Jet Stream- meanders through the upper stratosphere over the poles. They are present in the convergence zone above the sub polar low pressure belt.

Easterly Jet Stream-occurs near the tropopause over Southeast Asia, India, and Africa during summer.

• This jet implies a deep layer of warm air to the north of the jet and colder air to the south over the Indian Ocean.
• The difference in heating and cooling and the ensuing pressure gradient is what drives this jet.​

Given: REST : SCTR : : BEST : ?

The logic followed here is: 

Similarly,

Hence, "CCTR" is the correct answer.

Given:

The average of 6 consecutive odd numbers is 28.

Formula used:

Average = Sum of observation/Total number of observation

Calculation:

Let the smallest number is x,

So, rest of the number will be (x + 2), (x + 4), (x + 6), (x + 8), (x + 10)

⇒ x + x + 2 + x + 4 + x + 6 + x + 8 + x + 10 = 28 × 6

⇒ 6x + 30 = 168

⇒ 6x = 138

⇒ x = 23

∴ The smallest number is 23.

The correct answer is Arunachal Pradesh.

Key Points 

• Dibang valley district of Arunachal Pradesh displays the lowest population in the country with a population of 7,948.
• Dibang Valley is a district of Arunachal Pradesh named after the Dibang River or the Talon as the Mishmis call it.
• It is the least populated district in India and has an area of 9,129 square kilometres (3,525 sq mi).
• The Dibang River originates in the mountains of Arunachal Pradesh and flows through the length of the valley which is named after it.
• The Dibang has multiple tributaries and only once it debouches into the plains is it called by its name.
• Some of the major rivers of the Dibang Valley District are Ahui, Emra, Mathun, Dri, Tangon, Ithun, and Ange.

Additional Information 

• As per the 2011 Census, Nagaland state has recorded a decrease in population.
• Nagaland is the only Indian state which has a negative growth rate of -0.58% in census 2011.
• The growth rate of the Indian population was 17.69% between 2001 to 2011.
• Dadra and Nagar Haveli is growing at a rate of 55.88% annually.
• The second-fastest growth is recorded in Daman & Diu at 53.76% in census 2011.
• India has 641,000 inhabited villages and 72.2 per cent of the total population reside in these rural areas.

The Correct answer is Option 1.

Important Points 

• The 91^st Constitutional Amendment Act 2003, states that the total number of ministers, including the Prime Minister, in the Council of Ministers shall not exceed 15% of the total strength of the Lok Sabha. Hence option 1 is Correct.

Key Points 

• A member of either house of Parliament belonging to any political party who is disqualified on the ground of defection shall also be disqualified to be appointed as a minister.
• The total number of ministers, including the Chief Minister, in the Council of Ministers in a state shall not exceed 15% of the total strength of the Legislative Assembly of that state. 
• But, the number of ministers, including the Chief Minister, in a state shall not be less than 12.
• The total number of ministers, including the Chief Minister, in the Council of Ministers in a State shall not exceed 15% of the total strength of the assembly but the minimum strength in case of small states (Mizoram - 40, Goa-40, Sikkim-40) is 12 due to lower strength of the legislative assembly of that states.
• This amendment also states that a person who is disqualified under anti-defection law (10^th Schedule) shall not be appointed as a minister.

Assumption 1 is not effective.

If the lower courts would have been inefficient, then there would no existence of them. In such a situation only high courts would have existed. But this is not true. Lower courts exist and are efficient too.

Assumption 2 is effective.

There may be a possibility of error in judgment by lower courts so all citizens have the right to challenge the lower court's decisions in the High Court.

Hence, Assumption 2 is effective.

Given:

Percentage of boys = 70%

Total number of girls = 255

Calculation:

Percentage of girls = (100 – 70)%

⇒ 30%

According to the question,

⇒ 30% = 255

⇒ 70% = (255/30%) × 70%

⇒ 595

∴ The number of boys is 595

The correct answer is Mundaka.

Key Points

• Satyameva Jayate has originated from the ancient Mundaka Upanishads.
• Meaning: Truth alone triumphs
• This mantra has been inscribed below the Indian National emblem.
• It is the national motto of the Government of India that was adopted on 26 January 1950.

The correct answer is seven.

Key Points

• As of April 2025, the Union Territory of Ladakh consists of 7 districts. Hence, option 2 is correct.
• The seven districts are:
• Leh
• Kargil
• Zanskar
• Drass
• Sham
• Nubra
• Changthang
• Originally, when Ladakh became a Union Territory in 2019, it had only:
• Leh
• Kargil

districts.

• Later, the Government announced the creation of additional districts for:
• Better administration
• Regional development
• Improved governance in remote areas
• Hence, the correct answer is seven.

Additional Information

• Ladakh became a separate Union Territory after the implementation of the:
• Jammu and Kashmir Reorganisation Act, 2019
• The administrative headquarters of Ladakh is:
• Leh
• Ladakh is known as the:
• “Land of High Passes”

due to its mountainous terrain.

• Important geographical features of Ladakh include:
• Pangong Lake
• Indus River
• Nubra Valley
• Khardung La Pass
• Ladakh shares international borders with:
• China
• Pakistan

making it strategically important for India.

• The region is famous for:
• Buddhist monasteries
• Cold desert climate
• Adventure tourism

Important Points

• The creation of new districts in Ladakh aimed to improve:
• Public service delivery
• Infrastructure development
• Administrative accessibility in remote areas
• Questions related to Union Territories, districts, administrative divisions, and current affairs are frequently asked in competitive examinations.

We know,

Given,

W, V, S, N, ?, X, M

The pattern followed here is,

Hence, the correct answer is G.

Shortcut Trick

When profit is given in terms of Cost Price (CP), use the direct ratio:

Profit % = (Units of Profit ÷ Units Sold) × 100

Profit % = (8 ÷ 25) × 100

Profit % = 8 × 4 = 32%

∴ The correct answer is 32%.

Alternate Method

Given:

Quantity of shirts sold = 25

Profit = Cost Price of 8 shirts

Formula Used:

Profit % = (Total Profit ÷ Total Cost Price) × 100

⇒ Let the Cost Price (CP) of 1 shirt = ₹1

⇒ Total Cost Price of 25 shirts = 25 × 1 = ₹25
⇒ Profit earned = CP of 8 shirts = 8 × 1 = ₹8
⇒ Profit % = (8 ÷ 25) × 100
⇒ Profit % = 8 × 4
⇒ Profit % = 32%

∴ The correct answer is 32%.

Additional Information

Profit in terms of Selling Price

If profit is equal to the Selling Price (SP) of 'n' items on selling 'x' items, then Profit % = [n ÷ (x − n)] × 100.

Relationship between CP, SP and Profit %

Selling Price (SP) = CP × (100 + Profit %) ÷ 100. Conversely, CP = [SP × 100] ÷ (100 + Profit %).

Loss in terms of Cost Price

If loss is equal to the CP of 'n' items on selling 'x' items, then Loss % = (n ÷ x) × 100.

The correct answer is Pancreas.

Key Points

Pancreas:

• The pancreas is a mixed gland having both endocrine and exocrine functions.
• The endocrine portion secretes hormones, insulin, and glucagon while the exocrine portion secretes an alkaline pancreatic juice containing enzymes and bicarbonate.

Additional Information Exocrine glands:

• It is a gland that makes substances such as sweat, tears, saliva, milk, and digestive juices, and releases them through a duct or opening to a body surface.
• Examples: Sweat glands, lacrimal glands, salivary glands, mammary glands, and digestive glands in the stomach, pancreas, and intestines.

Endocrine glands:

• The glands that make up the endocrine system produce chemical messengers called hormones that travel through the blood to other parts of the body known as Endocrine glands.
• Examples: Pituitary, thyroid, parathyroid, thymus, and adrenal glands.

Liver:

• It is in the upper right section of the abdomen and sits below the diaphragm.
• It is the largest solid organ and the largest gland in the human body.
• It carries out over 500 essential tasks.
• The roles of the liver include detoxification, protein synthesis, and the production of chemicals that help digest food.
• It is part of the digestive system.
• The liver is the largest gland.

The correct answer is The Economist Intelligence Unit.

Key Points

The Economist Intelligence Unit:

• The Economist Intelligence Unit (EIU) publishes the Democracy Index annually.
• This index provides a snapshot of the state of democracy in 167 countries and territories worldwide.
• It is based on five categories: electoral process and pluralism, functioning of government, political participation, political culture, and civil liberties.
• Each country  is classified as one of four regime types: full democracy, flawed democracy, hybrid regime, or authoritarian regime.​

Additional Information

• International Monetary Fund:
• The International Monetary Fund (IMF) focuses primarily on global economic and financial stability.
• While the IMF acknowledges the importance of good governance and its link to economic development, it does not publish a specific Democracy Index.
• The IMF's work involves providing financial assistance and policy advice to member countries, often focusing on macroeconomic issues.
• It conducts research and publishes reports on various economic topics, including fiscal and monetary policies.
• The IMF also assesses countries' economic health and vulnerabilities.
• Although governance indicators might be considered in some IMF analyses, their main focus remains on economic factors.
• The IMF collaborates with other international organizations, but its primary mandate is economic and financial.
• World Economic Forum:
• The World Economic Forum (WEF) is known for its work on global economic and social issues, including publishing the Global Competitiveness Report.
• While the WEF discusses governance and related concepts, it does not publish a dedicated Democracy Index.
• The WEF brings together leaders from business, government, and civil society to discuss and address global challenges.
• Its annual meeting in Davos is a prominent platform for these discussions.
• The WEF's reports cover a broad range of topics, including economic competitiveness, technological innovation, and social development.
• Governance and institutional quality are often considered within these reports, but they are not the sole focus, and the WEF does not produce a standalone democracy ranking.
• United Nations Development Programme:
• The United Nations Development Programme (UNDP) publishes the Human Development Index (HDI), a composite index measuring life expectancy, education, and income.
• The UNDP also works on various aspects of governance and human rights.
• While these areas are related to democracy, the UNDP does not release a specific Democracy Index.

Calculation:

Here, 1^st January, 2003 = Wednesday 

⇒ 1^st January, 2004 = Thursday 

But, 2004 is a leap year, it has one extra day.

⇒ 1^st January, 2005 = Saturday

⇒ 1^st January, 2006 = Sunday 

So, 31^st December, 2005 = Saturday

Hence, the last day of year 2005 is Saturday.

Calculation:

Let assume that first number is 7x

And second number is 5x

After adding 6 in each number

⇒ First number becomes = 7x + 6

⇒ Second number becomes = 5x + 6

According to the question

⇒ (7x + 6)/ (5x+6) = 5/4

By Cross –Multiplication

⇒ (7x + 6) × 4 = (5x + 6) × 5

⇒ 28x + 24 = 25x + 30

⇒ 3x = 6

⇒ x = 2

So, Greater number = 7 × 2 = 14

And Smaller number is = 5 × 2 =10

∴  The correct option is 1 i.e. 10 .

The correct answer is one X chromosome from the mother and one X chromosome from the father.

Key Points

• Chromosomes are structures found in the center (nucleus) of cells that carry long pieces of DNA. DNA is the material that holds genes. It is the building block of the human body.
• Chromosomes also contain proteins that help DNA exist in the proper form.
• Chromosomes come in pairs.
• Normally, each cell in the human body has 23 pairs of chromosomes (46 total chromosomes).
• Half comes from the mother, the other half comes from the father.
• Two of the chromosomes (the X and the Y chromosome) determine your sex as male or female when you are born. They are called sex chromosomes:
• Females have 2 X chromosomes.
• Males have 1 X and 1 Y chromosome.
• The mother gives an X chromosome to the child. The father may contribute an X or a Y. The chromosome from the father determines if the baby is born as male or female.
• A human being has 23 pairs of chromosomes in which one pair of X and Y chromosomes determine the sex of the human being.
• If there is one X chromosome from the mother and one X chromosome from the father, then two X chromosomes (XX) make a girl whereas X chromosome from mother and Y chromosome from father then these chromosomes (XY) make a boy. Hence option 1 is correct.
• The remaining chromosomes are called autosomal chromosomes.
• They are known as chromosome pairs 1 through 22.

The correct answer is 'Cyclonic Rainfall'

Key Points

• Cyclonic Rainfall:
• Cyclonic rainfall is primarily associated with the movement of cyclones, which are large scale air masses that rotate around a strong center of low atmospheric pressure.
• In Europe and North America, cyclonic rainfall is most common during winter. This is due to the frequent occurrence of mid-latitude cyclones during this season.
• These cyclones form when warm moist air from the subtropics meets cold dry air from the polar regions, resulting in the formation of a frontal system that brings about precipitation.
• The rainfall associated with cyclones can be extensive and prolonged, often covering large areas.

Additional Information

• Orographic Rainfall:
• Orographic rainfall occurs when moist air is forced to ascend over a mountain range or highland.
• As the air rises, it cools and condenses to form clouds, leading to precipitation.
• This type of rainfall is common on the windward side of mountains, such as the western coast of the Americas and the Himalayas, but not typically associated with winter in Europe and North America.
• Convectional Rainfall:
• Convectional rainfall is caused by the heating of the Earth's surface, leading to the rising of warm air that cools and condenses to form clouds and precipitation.
• This type of rainfall is most common in tropical regions and during summer, rather than winter.
• It is usually characterized by short, intense showers and thunderstorms, not the prolonged, extensive precipitation seen with cyclonic rainfall.

Important Points

• Winter cyclones in Europe are often associated with the jet stream, which can enhance the development and intensity of these systems.
• In North America, the interaction between the cold air from Canada and the warm moist air from the Gulf of Mexico often leads to the formation of significant winter storms.
• Cyclonic systems can bring a mix of rain, sleet, and snow, depending on the temperature profile of the atmosphere.

I. Such students try to show that there are no regular classes happening. → Does not follow. (There is nothing mentioned about the classes in college, So we can't say about the regular class.)

II. Stringent actions must be taken against such students. → Does not follow. (This is a course of action and not a conclusion and hence does not follow)

Hence, Neither I nor II follows

Confusion Points A course of action is never considered a conclusion, therefore, the second conclusion does not follow. Thus, the given answer is correct.

Given:

Number of days taken by 12 boys to complete a work = 10 days

M1 = 12, D1 = 10 days and D2 = 6 days

Formula used:

(M1 × D1 × H1)/W1 = (M2 × D2 × H2)/W2

Where, M1, M2 = Number of boys, D1, D2 = Number of days, H1, H2 = Number of hours, W1, W2 = Work Done

We will use only the terms that are given in the question

Calculation:

M1 × D1 = M2 × D2         (As W1 = W2 so we do not need to write it)

⇒ 12 × 10 = M2 × 6

⇒ M2 = 120/6

⇒ M2 = 20

So, number of more boys required = M₂ - M₁

⇒ 20 - 12 = 8 boys

∴ 8 more boys are required to complete the same work in 6 days.

Important Points

For a given amount of work, the number of working days is inversely proportional to the number of men involved in the work, i.e. when the number of working days decreases then the number of men involved in the work increases and vice-versa. 

Working efficiency is the work done by an individual in one day and this efficiency is inversely proportional to the number of days to complete a work.

It means that a person who takes fewer days to complete a work is said to be more efficient than a person who takes more days to complete the same work.

Bamako is the capital city of Mali, the country which is situated in the north - west part of the African continent. It is one of the 16 countries via which tropic of cancer passes through.

The correct answer is New Zealand

In News

• India clinched the bronze medal at the Sultan of Johor Cup junior men's hockey tournament by defeating New Zealand 3-2 in a thrilling shootout.

Key Points

• The match concluded in a 2-2 tie after regulation time, with goalkeeper Bikramjit Singh making three crucial saves during the shootout to secure the victory.
• In the first half, India took a strong lead with goals from Dilraj Singh (11') and Manmeet Singh (20'), showcasing a compact and tactical approach to attack.
• New Zealand rallied in the final quarter, equalizing with goals from Owen Brown (51') and Jonty Elmes (57'), who had previously scored a hat-trick against India in an earlier match.
• India dominated early on, successfully utilizing short passes and skillful dribbling, while their defense effectively blocked New Zealand's penalty corners in the first half.
• Despite controlling much of the game, India could not extend their lead before New Zealand's comeback, forcing the match into a shootout where they ultimately triumphed.

According to the given information:

When 2 is added to each odd digit and 1 is subtracted from each even digit in the number 94387251,

Now the new number is: 113579173

Now, the sum of the first, fifth and last digit is,

1 + 7 + 3 = 11

Hence the correct answer is option 3)

Given:

45% of 640 + 64% of 450 = ? of 1440

Concept Used:

Using BODMAS rule

Calculation:

45% of 640 + 64% of 450 = ? of 1440

= (45/100) × 640 + (64/100) × 450 = ? × 1440

= 288 + 288 = ? ×1440

= 576 = ? × 1440

= ? = 576/1440 = 0.4

∴ The value of ? is 0.4

The correct answer is Dehradun. 

Key Points:

• The Forest Research Institute (FRI) is an institute of the Indian Council of Forestry Research and Education.
• It is a premier institution in the field of forestry research in India.
• It is located at Dehradun in Uttarakhand.
• In 1991, it was declared a deemed university by the University Grants Commission.
• The Forest Research Institute campus hosts the Indira Gandhi National Forest Academy (IGNFA), the staff college that trains officers selected for the Indian Forest Service (IFS).

The correct answer is "Visakhapatnam".

Important Points

• Vishakhapatnam Port:
• It is one of the 13 major ports in India and the only major port of Andhra Pradesh.
• It is India's third-largest state-owned port by volume of cargo handled and largest on the Eastern Coast.
• It is a natural harbour.
• It is located midway between the Chennai and Kolkata ports. Visakhapatnam Port has three harbours – the outer harbour, inner harbour, and the fishing harbour.
• The hinterland of the Visakhapatnam Port extends to northeastern Andhra Pradesh, Chhattisgarh, southern Orissa. Iron ore, manganese ore, steel products, general cargo, coal, and crude oil are the main commodities handled at this port.
• Thus, it is clear that Vishakhapatnam seaports have a natural harbour.
• This port was opened on 7 October 1933.

Additional Information

• The port of Visakhapatnam is one of the 13 major ports in India and is situated between the ports of Chennai and Kolkata.
• Even though the need to construct a port on the east coast for access to the Central Provinces was felt by the British in the 19^th century, the idea of Col. H. Cartwright Reid was accepted by the Government only after the First World War of the British Admiralty to construct a port at Visakhapatnam.
• The port of Visakhapatnam has three ports-the outer harbour, the inner harbour and the fishing port.
• The major commodities in this port include Iron ore, manganese ore, steel products, general cargo, coal and crude oil.
• Visakhapatnam is the deepest landlocked and well-protected harbour.
• This port was originally planned as an outlet for the export of iron ore.

Important Points

The pattern followed here is :

‘TECHNOLOGY’ is written as ‘NHCETOLOGY’

And, ‘GENERATION’ is written as ‘RENEGATION’.

Similarly, for 'APOCALYPSE’

So, APOCALYPSE’ will be written as 'ACOPALYPSE'.

Hence, the correct answer is "Option 4".

Shortcut Trick

Average of ratio parts (7, 9, 11) = (7 + 9 + 11) ÷ 3 = 9 units.

Given average price = Rs. 14,265.

9 units = Rs. 14,265 ⇒ 1 unit = Rs. 1,585.

Price of the costliest item (11 units) = 11 × 1,585 = Rs. 17,435.

∴ The correct answer is Rs. 17,435.

Alternate Method

Given: Average price of 3 items = Rs. 14,265; Ratio of prices = 7 : 9 : 11.

Formula Used: Sum of values = Average × Number of values.

7x
9x
11x
Total Ratio Parts = 27x
Average (9x) = Rs. 14,265
Costliest Item

⇒ Total Sum of prices = 14,265 × 3 = 42,795

⇒ Let the prices be 7x, 9x, and 11x.

⇒ 7x + 9x + 11x = 42,795

⇒ 27x = 42,795

⇒ x = 42,795 ÷ 27 = 1,585

⇒ Price of costliest item = 11x = 11 × 1,585 = 17,435

∴ The correct answer is Rs. 17,435.

Additional Information

General Average Formula

Average = (Sum of all observations) ÷ (Total number of observations).

Ratio Distribution

To find a specific share in ratio a:b:c, use Share = [Total Sum × specific part] ÷ (a + b + c).

Arithmetic Progression Average

For terms in AP (like our ratio parts 7, 9, 11 with difference 2), the average is always the middle term.

The correct answer is Centripetal force.

Explanation:

• Force:  
• It is an influence that tends to set a stationary body in motion or stop a moving body; or which tends to change the speed and direction of a moving body; or which tends to change the shape( and size) of a body.

The correct answer is Greenwich Mean Time

Key Points

• Greenwich Mean Time (GMT) is the mean solar time at the Royal Observatory in Greenwich, London.
• It is used as a standard time against which all other time zones in the world are referenced.
• GMT was formerly used as the international civil time standard, now replaced by Coordinated Universal Time (UTC).
• The concept of GMT was introduced to aid in maritime navigation and to standardize timekeeping.
• GMT is still widely used in aviation, navigation, and broadcasting.

Additional Information

• GMT is calculated from the Prime Meridian, which is 0 degrees longitude.
• It is not adjusted for daylight saving time, unlike other time zones.
• The term "Greenwich Mean Time" is also used in the United Kingdom as a time reference during the winter months.
• GMT was established by the Royal Observatory in 1675 to help mariners determine longitude at sea.
• In modern usage, GMT is often used interchangeably with UTC, although they are not exactly the same.

The given statement asks whether student organizations should be banned or not.

• Argument I suggests that students and organizations are two separate entities.
• It claims that banning is the only way to put a stop to the aggression of the organizations.
• However, there is a cause for every problem. There must be a reason behind the aggression of student organisations.
• Addressing the concerns of the organization would be one of the ways as well as a good choice instead of taking an extreme step like banning them.Therefore, argument I is not strong.
• Argument II is strong because it is a democratic right of the students to form organizations and banning them will be against these rights. Thus, only argument II is strong.

So, the correct answer is option 1.

Shortcut Trick

Total percent of salary spent on rent, education, food and medicine & entertainment = (20 + 15 + 25 + 20)%

⇒ 80%

Remaining salary = (100 - 80)%

⇒ 20%

Here 20% = Rs. 5000

So, 15% = Rs. 5000 × (15/20)

⇒ Rs. 3750

∴ Ram spends Rs. 3750 on education.

The basic method is given below.

Given:

Ram spends 20%, 15%, 25% and 20% of his salary on rent, education, food and medicine & entertainment respectively.

His monthly saving is Rs. 5000

Calculation:

Let the total salary be x

Total percent of salary spent on rent, education, food and medicine & entertainment = (20 + 15 + 25 + 20)%

⇒ 80%

Remaining salary = (100 - 80)%

⇒ 20%

According to the question, we have

20% of x = Rs. 5000

⇒ (20/100) × x = Rs. 5000

⇒ x = Rs. (5000 × 5)

⇒ x = Rs. 25000

So, money spent on education = 15% of Rs. 25000

⇒ (15/100) × Rs. 25000

⇒ Rs. 3750

∴ Ram spends Rs. 3750 on education.

The correct answer is **G.

V. Ramakrishna**.

Key Points

• Disinvestment is the process of sale or liquidation of assets by the Central or State Government usually Central and State public sector enterprises, projects, or other fixed assets.
• Strategic Disinvestment is the process of transfer of the ownership and control of a public sector entity to some other entity mostly to a private sector entity.
• The disinvestment in which at the end the Government retains a majority stake in the company typically greater than 51% thus ensuring the management control is called Minority Disinvestment.
• The disinvestment in which the Government after disinvestment retains a minority stake in the company is called Majority disinvestment.
• The disinvestment commission chaired by **G.

V. Ramakrishna** was set up in August 1996 to advise, publicize, supervise and monitor gradual disinvestment of Indian Public Sector Undertakings (PSUs).

• This disinvestment commission ceased to exist in May 2004.
• On 14^th April 2016, the Department of Disinvestment was renamed as Department of Investment and Public Asset Management (DIPAM).
• In November 2005 National Investment Fund was constituted to channelize the proceeds from the disinvestment of Central Public Sector Enterprises.
• Disinvestment helps in creating a better environment for investment.

Additional Information

The correct answer is Goa.

Key Points

• Tarangmel is the folk dance of Goa that celebrates the youthfulness of the region.
• It is performed during Dussehra and Holi.

Additional Information

• There are eight classical dances recognized by the Government of India
• These are Bharatnatyam, Kathakali, Kuchipudi, Mohiniyattam, Kathak, Manipuri, Odissi, and Sattriya.

• Chhau dance

Chhau dance is the 9^th dance form in India. According to India's Ministry of Culture, there are nine recognised classical dances. Dance is first mentioned in a well-known work in Bharat Muni's book Natya Shastra. Chhau dance is the 9^th dance form in India.

Explanation:

The logic followed here is:

The figure is rotating by 90° in an Anti-clockwise direction.

The figure that will replace the question mark (?) in the following figure series:

Hence, 'option 3' is the correct answer.

Shortcut Trick

Effective Simple Interest percentage for 6 years = 9.5% × 6 = 57%

Total Amount percentage = 100% (Principal) + 57% (Interest) = 157%

Given, 157% = Rs. 942

Initial Sum Invested (100%) = (942 ÷ 157) × 100 = 6 × 100

∴ The correct answer is Rs. 600.

Alternate Method

Given:

Rate of Interest (R) = 9.5% per annum

Time Period (T) = 6 years

Final Amount (A) = Rs. 942

Formula Used:

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

Amount (A) = Principal (P) + Simple Interest (SI)

⇒ 942 = P + (P × 9.5 × 6) ÷ 100

⇒ 942 = P + (P × 57) ÷ 100

⇒ 942 = P + 0.57P

⇒ 942 = 1.57P

⇒ P = 942 ÷ 1.57

⇒ P = 94200 ÷ 157

⇒ P = 600

∴ The correct answer is Rs. 600.

Additional Information

Simple Interest vs Compound Interest

Simple interest is calculated only on the Principal amount, whereas Compound interest is calculated on the Principal plus the accumulated interest of previous periods.

Effective Rate of Interest

The effective rate for Simple Interest is simply (R × T)%, while for Compound Interest (2 years), it is (R + R + (R × R)/100)%.

Difference between CI and SI (2 Years)

The difference between Compound Interest and Simple Interest for 2 years is given by the formula: D = P × (R ÷ 100)².

The correct answer is Barbituric acid.

• The acid that can be used as a hypnotic is Barbituric acid.

Key Points

• The chemical name of Barbituric acid is 6-hydroxyuracil.
• Its formula is C₄H₄N₂O₃.
• It is an organic compound.
• The synthesis of barbituric acid is done using malonic acid and urea.
• It is used as:
• A depressant for the nervous system
• hypnotic purpose.
• A hypotonic solution is a solution that has a lower solute concentration as compared to another solution.
• Hypotonic is a classification of the solute content of one solution in relation to another solution.
• Acid:
• An acid is a substance that is sour to taste.
• Turns blue litmus paper into red.
• Contains replaceable hydrogen.
• Gives hydrogen ion (H+) in an aqueous solution.
• Can donate a proton.
• Can accept an electron.

Additional Information

• Tartaric acid:
• It is found in grapes.
• Uses of Tartaric acid
• Souring agent for pickles.
• A component of baking powder (sodium bicarbonate + tartaric acid).
• Butanoic acid is used as a raw material in the manufacture of esters of lower alcohols for use as flavoring agents.
• Benzoic acid is used in the manufacture of perfumes, dyes, topical medications, and insect repellents.

The correct answer is RBI.

Important Points

• RBI is the acronym of the Reserve Bank of India.
• Reserve Bank of India issues currency notes in India.
• Reserve Bank of India issues all currency notes above one rupee.

Additional Information

• The Reserve Bank of India Act was passed in the year 1934.
• It was established on 1^st April 1935.
• It was set up on the recommendation of the Hilton Young Commission
• Reserve Bank of India was nationalized on 1^st January 1949.
• It is well known as "bankers bank" in India.
• PNB stands for Punjab National Bank.
• SBI stands for State Bank of India.

Preparing family tree diagram using the following symbol:

The family tree diagram as per the question:

Here, Hire is the aunty of Anu.

Hence, the correct answer is "Aunty".

Calculation:

Let A’s share be Rs. x

⇒ B’s share = x - 20 and C’s share = x + 20

Total amount = x + x - 20 + x + 20

⇒ 120 = 3x

⇒ x = 40

∴ B’s share = x - 20 = Rs. 20

The correct answer is tabla.

Key Points

• Faiyaz Khan:-
• Ustad Faiyaz Khan (1880–1950) was one of the most influential Indian classical vocalists of the first half of the 20^th century.
• He is often regarded as the last great singer of the Agra Gharana, a school of Hindustani classical music.
• Ustad Faiyaz Khan was born in Sikandra near Agra.
• Even though he belonged to the Agra Gharana, his style was a blend of many schools of Indian classical music, including the styles of Jaipur and Gwalior Gharanas.
• He was known for his exceptional voice and a unique style of presentation.
• He is associated with Tabla.

Additional Information

• Some proponents are:-
• Veena:
• Emani Sankara Sastry
• S. Balachander
• Doraiswamy Iyengar
• Chitti Babu
• E. Gayathri
• Shehnai:-
• Bismillah Khan
• Ali Ahmed Hussain Khan
• Nazir Hussain Khan
• Daya Shankar
• Anant Lal
• Sitar:-
• Ravi Shankar
• Vilayat Khan
• Nikhil Banerjee
• Budhaditya Mukherjee
• Shahid Parvez

The correct answer is Hanoi.

Key Points

• Hanoi is the capital of Vietnam.
• The Vietnamese Dong is the currency of Vietnam.

Important Points

• Vietnam is a Southeast Asian country known for its beaches, rivers, Buddhist pagodas and bustling cities.
• Hanoi, the capital, pays homage to the nation’s iconic Communist-era leader, Ho Chi Minh, via a huge marble mausoleum.
• Ho Chi Minh City (formerly Saigon) has French colonial landmarks, plus Vietnamese War history museums.

Additional Information

• Capital of Central Asian Countries
• The capital of Kazakhstan – Astana.
• The capital of Kyrgyzstan – Bishkek.
• The capital of Tajikistan – Dushanbe.
• The capital of Turkmenistan – Ashgabat.
• The capital of Uzbekistan – Tashkent.

8^th, 12^th,13^th,15^th letters from left are, O T M E

Meaningful word will be, TOME.

M is at 3^rd place.

Hence, M is the correct answer.

199 × 201 = (200 - 1) × (200 + 1)

∵ (A + B) × (A - B) = A² - B²

⇒ (200 - 1) × (200 + 1) = 200² - 1² = 40000 - 1 = 39999

∴ 199 × 201 = 39999

Trick∶ 

Unit digit of (199 × 201) = 9

Going through options, the only possible answer is 39999.

The Correct Answer is Madhya Pradesh.

Key Points

• "Laru Kaj" is a festival primarily celebrated by the Gonds of Madhya Pradesh.
• Laru Kaj is associated with the pig sacrifice.
• The ceremony is considered the pig's wedding in honor of Narayan Dev.
• 'Laru' means bridegroom and 'Kaj' means 'solemn occasion'.

Additional Information

• Some Famous Festivals of India:

Concept:

Greenpeace:

• Green Peace is a non-governmental environmental organisation with offices in over forty countries and has its headquarters in Amsterdam, Netherlands.
• It was founded by Bill Darnell and Dorothy Stouce in 1971 in Vancouver, Canada.
• Green Peace is known for its direct actions and is one of the most visible environmental organisations in the world.
• It covers issues such as climate change, deforestation, overfishing, commercial whaling, genetic engineering and anti-nuclear issues.
• The mission of Green Peace is to ensure the ability of the Earth to nurture life in all its diversity and focuses on worldwide issues.

Explanation:

The focus of Greenpeace:

• Climate change is one of the most threatening scenarios for both human and non-human life forms.
• Protecting our marine reserves by defending our oceans.
• Protecting the forest biodiversity.
• Creating a toxin-free future by decreasing the use of hazardous chemicals.
• Encouraging a campaign for sustainable agriculture by encouraging better farming practices.
• Promoting peace, disarmament and non-violence.

Thus, the mission of Greenpeace is to ensure the ability of Earth to nurture life in all its diversity.

Given:

Total strength of students = 45

Rank of a boy = 20^th from one end.

∴ Rank from another end will be 45 - 20 + 1 = 26^th

According to question:

Two boys joined, then total strength now = 47

Then, the rank dropped by one. This means one boy is ahead of him and another one is in behind.

His new rank from the end will be 26^th + 1 = 27^th

Hence, the rank of the boy is 27^th.

If rank from one side is given, then rank from another side will be:

Total strength - given rank + 1

Curved surface area of cylinder = 2 × π × 28 × 63 = 44 × 4 × 63 = 11088 cm²

⇒ Curved surface area of 4 hemispheres = 4(2 × π × 14 × 14) = 4928 cm²

⇒ For the two bases of the cylinder, remaining area = 2 × (π × 28²) – 4 × (π × 14²)

⇒ Remaining base area = 44 × 112 – 44 × 56 = 44 × 56 = 2464 cm²

⇒ Total surface area of the remaining solid = (11088 + 4928 + 2464) cm²

⇒ Total surface area of the remaining solid = 18480 cm²

The correct answer is Zoji La.

Key Points

• Zoji La is a mountain pass located in the Himalayas in Ladakh.
• Zoji La connects Srinagar and Leh.
• It connects the Kashmir Valley to its west with the Dras and Suru valleys to its northeast and the Indus valley further east.
• Zoji La pass is the lifeline that keeps the people of Ladakh in touch with the rest of the world.
• The elevation of Zoji La is 3,528m (11,575ft) above sea level.
• It is one of the most treacherous passes in the world.
• Zojila tunnel project was launched in 2018.

Additional Information

• Bara-Lacha-La Pass connects Lahaul district in Himachal Pradesh with Leh district in Ladakh.
• Jelep La Pass connects Sikkim with the autonomous region of Tibet, China.
• Nathu La Pass connects Sikkim with the autonomous region of Tibet, China.
• Rohtang Pass connects Kullu Valley with the Lahaul and Spiti Valleys of Himachal Pradesh.
• Shipki La Pass connects the Kinnaur district of Himachal Pradesh with the autonomous region of Tibet, China.

The correct answer is 8.

Key Points

• The latitude approximately 23°27′ N of the terrestrial equator is called tropic of cancer.
• There are 16 countries through which the tropic of cancer passes.
• The tropic of cancer is the only latitude pass through India.
• The tropic of cancer passes through 8 Indian states.
• The 8 Indian states through which tropic of cancer passes through are:

1. Gujarat.
2. Rajasthan.
3. Madhya Pradesh.
4. Chhatisgarh.
5. Jharkhand.
6. West Bengal.
7. Tripura.
8. Mizoram.

Important Points

• Mahi River is the only river in India that cuts the Tropic of Cancer twice.
• "Bhopal (capital of Madhya Pradesh)” and “Gandhinagar (capital of Gujarat)” is also located fairly close to the “Tropic of Cancer”.
• The only state capital in India situated on the Tropic of Cancer is Ranchi, the capital of Jharkhand.
• Tropic of Cancer passes through 16 countries, 3 Continents, 6 water bodies.​

Given:

Statement: Tonight, If I knead the dough, along with yeast and sugar, for my doughnuts, I will be able to bake and serve them fresh to my guest tomorrow evening.

Course of Action:

I. I must make arrangement to prevent the dough from getting spoilt and give good baking results - True (Because, This ensures the dough remains fresh and suitable for baking, allowing the doughnuts to be served fresh.)

II. I must cancel on my guest for tomorrow - False (Because, This is not necessary if the dough is properly prepared and the doughnuts can be baked fresh as planned.)

III. I must follow my doughnut recipe properly and bake them at the right temperature - True (Because, Following the recipe accurately is crucial for achieving the desired outcome of fresh, well-baked doughnuts.)

So, Both I and III follow.

Hence, the correct answer is "Option 4".

GIVEN:

A = Rs. 2401

T = 3 years

R = 50/3%

FORMULA USED:

A = P(1 + R/100)^T

CALCULATION:

2401 = P (1 + 50/300)³

2401 = P (7/6)³

P = 2401 × (6/7)³

P = Rs 1512

∴ The sum is Rs 1512

ALTERNATE SOLUTION:

50/3% = 1/6

P = 6 ratio, A = 7 ratio

For 3 years,

P = 6³ = 216 ratio

A = 7³ = 343 ratio

A.T.Q

343 ratio = 2401

1 ratio = 7

216 ratio = 216 × 7 = Rs. 1512

∴ The sum is Rs. 1512

The correct answer is Option 1, i.e Commission for Agricultural Costs and Prices.

• Commission for Agricultural Costs and Prices(CACP) is an expert body that recommends MSP by taking into account the cost of production, growing trends in domestic and international market prices.
• Commission for Agricultural Costs and Prices came into existence in 1965 as Agricultural Prices Commission.
• In 1985, Agricultural Prices Commission was renamed as Commission for Agricultural Costs and Prices(CACP).
• The commission comprises a Chairman, Member Secretary, One member (official), and two members (non-official).
• The Cabinet Committee on Economic Affairs (CCEA) approves the MSP.

The Correct answer is March 7^th.

In News

• Jan Aushadhi Diwas 2025: Affordable Quality Medicines For A Healthier Future.

Key Points

• Jan Aushadhi Diwas is celebrated annually on March 7^th to promote the use of generic medicines and raise awareness about the Pradhan Mantri Bhartiya Janaushadhi Pariyojana (PMBJP).
• The celebration is part of a week-long event from March 1^st to 7^th.
• The PMBJP was launched in November 2008 by the Department of Pharmaceuticals, Ministry of Chemicals & Fertilizers.
• PMBJP aims to provide quality medicines at affordable prices through Pradhan Mantri Bhartiya Janaushadhi Kendras (PMBJK).
• A significant initiative under PMBJP is the launch of Jan Aushadhi Suvidha Sanitary Napkins, priced at Rs. 1 per pad.
• The Jan Aushadhi SUGAM mobile app, launched in August 2019, helps locate PMBJKs and compare the prices of generic vs branded medicines.
• Jan Aushadhi medicines are 50%-80% cheaper than branded medicines available in the open market.
• Medicines under the scheme are sourced from WHO-GMP certified manufacturers and undergo testing in NABL-accredited laboratories.
• PMBJP offers incentives, including up to Rs. 20,000 per month for Kendras based on monthly purchases and a one-time incentive of Rs. 2 lakh for Kendras in specific areas, such as Northeastern States, Himalayan regions, and backward districts.

Explanation: 

Statements:

a) Some scarfs are shawls.

b) Some shawls are mufflers.

The least possible venn diagram will be as follows:

We will check the conclusions.

• Conclusion I. Some scarfs are mufflers. → False (As there is no relation between scarfs and mufflers. So we cannot conclude it with surity.)
• Conclusion II. Some mufflers are shawls. →True (As Some A are B and Some B are A follows and Some Shawls are Mufflers is given in statement).

​Hence, Only conclusion II follows is the correct answer.

Calculation : 

⇒ (sin 45° + cos 45°)

⇒ 1/√2 + 1/√2

⇒ 2/√2

⇒ √2

∴ The correct answer is √2.

The correct answer is 1920.

Key Points

• Ratona Satyagraha (1920):
• The movement against the slaughterhouse in a place called Ratauna near Sagar can be said to be the first movement of this region based on the principles of Non-Cooperation.
• In those days, the British company had opened a slaughterhouse in Ratona.
• A large number of cows and bulls were slaughtered every day.
• A movement committee was formed to close the slaughterhouse.
• This committee organized such an organized movement that the government had to bow down and the slaughterhouse was closed.
• This was the first victory of the people of the province against the former British Indian government.

The correct answer is thermal power stations.

Key Points

• The Damodar Valley Corporation (DVC) is a statutory body established in 1948 under the Damodar Valley Corporation Act, 1948.
• DVC operates several thermal power stations in the Damodar River region of West Bengal and Jharkhand.
• DVC's power plants contribute significantly to the power supply in the region, making it a key player in the energy sector.
• The corporation's thermal power plants have a combined installed capacity of over 6,000 MW, making it one of the largest power producers in India.

Additional Information

• Damodar Valley Corporation (DVC)
• DVC was the first multipurpose river valley project undertaken by the Government of India after independence.
• The main objectives of DVC include flood control, irrigation, generation, and transmission of electric power, and the promotion of public health and agriculture within the Damodar Valley region.
• DVC operates several thermal power stations, including the ones at Bokaro, Chandrapura, Mejia, and Durgapur.
• In addition to thermal power generation, DVC also engages in hydroelectric power generation, coal mining, and the development of infrastructure such as irrigation canals and dams.
• Thermal Power Stations
• Thermal power stations convert heat energy from burning fossil fuels such as coal, oil, or natural gas into electrical energy.
• The process involves heating water in a boiler to produce steam, which then drives a steam turbine connected to an electricity generator.
• Thermal power plants are a major source of electricity and play a crucial role in meeting the energy demands of a country.
• Environmental concerns related to thermal power plants include air pollution from the burning of fossil fuels and the disposal of ash and other waste products.

Given:

1. Swati was facing South-East.
2. She turns 90° in the clockwise direction
3. Then she turns 135° in the anti-clockwise direction
4. Finally, she turns 180° in the clockwise direction.

According to the given information, we get the following figure

Therefore, the direction  Swati is facing right now is West.

Hence, the correct answer is "West".

Shortcut Trick

Using the standard algebraic identity: 4ab = (a + b)² − (a − b)²

Substitute the given values directly into the formula:

4ab = 56² − 496

4ab = 3136 − 496 = 2640

ab = 2640 ÷ 4 = 660

∴ The correct answer is 660.

Alternate Method

Given:

a + b = 56

(a − b)² = 496

Formula Used:

(a + b)² = a² + b² + 2ab

(a − b)² = a² + b² − 2ab

Subtracting the second equation from the first, we get:

(a + b)² − (a − b)² = 4ab

Calculations:

⇒ (56)² − 496 = 4ab

⇒ 3136 − 496 = 4ab

⇒ 2640 = 4ab

⇒ ab = 2640 ÷ 4

⇒ ab = 660

∴ The correct answer is 660.

Additional Information

Sum of Squares Identity

(a + b)² + (a − b)² = 2(a² + b²). This identity is directly useful when the sum of the squares of two variables is required.

Difference of Squares

a² − b² = (a − b)(a + b). This is a foundational factorization rule widely used in simplifying algebraic fractions and equations.

Cubic Identities

a³ + b³ = (a + b)(a² − ab + b²) and a³ − b³ = (a − b)(a² + ab + b²). Frequently tested alongside square identities in competitive exams.

The correct answer is Starch.

• Raw potato is a perfect sample for the test of the presence of Starch.

Key Points

• Starch is a type of carbohydrate present in many of our food items. Such as bread, potato, etc.
• The following procedure follows for conducting a test for the presence of starch in potato:
• Place a potato slice in separate and clean Petri plates.
• With the help of a dropper, place 2-3 drops of iodine solution on the potato slice.
• Note the change in color and record your observation.
• A Blue-black color appears on the potato slice.
• Potato contains starch which gives blue-black in color on the addition of iodine solution.