The Ramsar Convention, signed in 1971 in Ramsar, Iran, is an intergovernmental treaty dedicated to the conservation and sustainable utilization of wetlands.

The Gandak river enters Bihar in West Champaran district near Tribeni/Raxaul and flows southeast to meet the Ganges near Patna.

Total Internal Reflection occurs when light travels from an optically denser medium to a rarer medium at an angle greater than the critical angle, causing total reflection inside the medium.

Lysosomes contain membrane-bound digestive enzymes that can break down cellular waste and foreign matter, and rupture to digest the cell itself under stress.

The 101st Constitutional Amendment Act, 2016 paved the way for the introduction of the unified GST regime across India.

Sodium carbonate decahydrate (Na2CO3 . 10H2O) is commonly known as washing soda, containing 10 molecules of water of crystallization.

The escape velocity from Earth is approximately 11.2 km/s, which is the minimum speed needed for an object to break free from Earth's gravitational pull.

Net Domestic Product (NDP) is obtained by subtracting the consumption of fixed capital (depreciation) from Gross Domestic Product (GDP).

Percentage reduction = [r / (100 + r)] × 100 = [25 / 125] × 100 = 20%.

Lord Curzon partitioned Bengal in July 1905, leading to the Swadeshi Movement across India.

Photolysis splits water molecules into protons, electrons, and oxygen gas, which is released into the atmosphere.

Le Chatelier's principle predicts how an equilibrium system responds to external disturbances, shifting in the direction that counteracts the change.

The curved surface area of a hemisphere is 2πr², and the flat circular base has an area of πr², making the total surface area 3πr².

Western Disturbances originate in the Mediterranean region and bring winter precipitation to northern and northwestern India, highly beneficial for Rabi crops.

In WH-question indirect speech, the reporting verb changes to 'asked', the WH-word is retained as a conjunction, and the tense shifts to past continuous.

The writ of Prohibition is issued to direct a lower court or tribunal to stay within its jurisdictional bounds and prevent judicial overreach.

Since prime numbers have no common factors other than 1 and themselves, their highest common factor (HCF) is always 1.

The 73rd Amendment Act, 1992 added Part IX to the Constitution, institutionalizing the three-tier Panchayati Raj structure across India.

'Kamayani' is a monumental work of Chhayavadi poetry written by Jaishankar Prasad.

The Dahsala / Zabti system involved surveying land, classifying it into four categories based on cultivation continuity, and fixing revenue based on average 10-year prices.

Karl Pearson's empirical formula relating the three central tendency measures is Mode = 3(Median) - 2(Mean).

Bromine is the only non-metal that exists in a liquid state at room temperature, whereas mercury is a liquid metal.

Bank Rate is the standard rate at which RBI is prepared to buy or rediscount bills of exchange or other commercial papers without collateral, whereas repo rate requires collateral.

Phloem tissue transports sugars and organic nutrients synthesized during photosynthesis, while xylem transports water and minerals.

Chandragupta Maurya founded the Maurya Empire in 321 BCE with Pataliputra (modern Patna) as his capital, assisted by Kautilya (Chanakya).

The discriminant D = b² - 4ac determines the nature of the roots of a quadratic equation (real and distinct, real and equal, or imaginary).

Faraday's Law states that the induced electromotive force (EMF) in any closed circuit is equal to the negative rate of change of the magnetic flux through the circuit.

The epicenter is the point on Earth's surface directly above the hypocenter (focus), which is where the earthquake originates underground.

The United Nations has proclaimed May 22 as the International Day for Biological Diversity to increase understanding and awareness of biodiversity issues.

Ghiyas-ud-din Tughlaq founded the Tughlaq dynasty in 1320 after overthrowing the Khilji dynasty.

The stratosphere contains the highest concentration of ozone, shielding life on Earth by absorbing ultraviolet radiation.

Let CP be x, SP = 1.2x. New CP = x + 100, New SP = 1.2x + 100. Profit percentage remaining 20% implies (1.2x + 100 - x - 100)/(x + 100) = 0.20, solving gives x = 500.

The Kosi River is infamous for shifting its course westward over time, causing severe floods across northern Bihar.

The word is split into two halves of 4 letters each, reversed in order, and each letter is shifted forward by +1.

The liver produces bile, which is stored in the gall bladder and emulsifies fats to aid digestion.

Under the Tinkathia system, Indian peasants in Champaran were forced to cultivate indigo on 3/20th of their land holdings.

Sum of angles = 180°. Angles are 2x, 3x, 4x. 9x = 180° => x = 20°. Largest angle = 4x = 80°.

Article 17 of the Constitution falls under the Right to Equality and explicitly abolishes untouchability.

Squaring both sides: (x + 1/x)² = 5² => x² + 2 + 1/x² = 25 => x² + 1/x² = 23.

Acceleration is defined as the rate of change of velocity with respect to time, measured in meters per second squared (m/s²).

Lothal in Gujarat is well-known for its massive brick basin identified as a tidal dockyard for maritime trade.

Combined 1-day work = (1/10) + (1/15) = (3 + 2)/30 = 5/30 = 1/6. Total days = 6 days.

Citric acid is an organic acid found abundantly in citrus fruits like lemons, oranges, and limes.

'My mother's only son' refers to the man himself. Therefore, his daughter is the girl in the photograph.

Bihar has 40 Lok Sabha constituencies and 16 Rajya Sabha seats, making it a crucial state in national parliamentary elections.

Since 60% is double of 30%, if 30% = 120, then 60% = 120 × 2 = 240.

Concave mirrors can produce virtual and magnified images when the object is placed close to the focus.

Seasons change due to the revolution of the Earth around the sun combined with the 23.5° tilt of Earth's rotational axis.

Perimeter = 4 × side = 40 cm => side = 10 cm. Area = side² = 10² = 100 cm².

The Major Dhyan Chand Khel Ratna Award is conferred by the Ministry of Youth Affairs and Sports, Government of India.

Newton's Second Law states that the rate of change of momentum of an object is directly proportional to the applied force, yielding F = ma.

Veer Kunwar Singh, the zamindar of Jagdishpur, spearheaded the 1857 uprising in Bihar at the age of nearly 80.

Ionic bonds form between metals and non-metals when electrons are transferred, creating oppositely charged ions held by electrostatic attraction.

The First Law of Thermodynamics is essentially the law of conservation of energy applied to thermodynamic systems.

For 1331: Sum of digits at odd places (1+3) = 4, sum of digits at even places (3+1) = 4. Difference = 4 - 4 = 0, which is divisible by 11.

Article 75(3) of the Constitution specifies that the Council of Ministers shall be collectively responsible to the House of the People (Lok Sabha).

In a monohybrid cross, the F2 phenotypic ratio is 3 dominant to 1 recessive (3:1), while the genotypic ratio is 1:2:1.

The Lahore Session of December 1929 under the presidency of Jawaharlal Nehru passed the Purna Swaraj resolution.

A/C = (A/B) × (B/C) = (3/4) × (8/9) = 24/36 = 2/3, hence A : C = 2 : 3.

NCERT advises the central and state governments on school education policies, curriculum development, and teacher training frameworks.

Let C = x, B = x/2, A = x/4. Total = x + x/2 + x/4 = (7/4)x = 700 => x = 400.

Solar energy is captured by producers (plants) via photosynthesis, driving the entire energy flow through trophic levels.

Nalanda University was founded by Kumargupta I (who assumed the title Shakraditya) in the 5th century CE.

Sound travels fastest in solids because particles are closely packed, allowing rapid mechanical wave transmission.

Xylem vessels and tracheids form a continuous pipeline system for transporting water and minerals upward in plants.

Article 110 of the Constitution sets out the provisions defining a Money Bill, certified exclusively by the Speaker of the Lok Sabha.

According to Ohm's Law, I = V / R = 20 / 10 = 2 Amperes.

The HDI combines indicators of life expectancy, educational attainment (mean and expected years of schooling), and GNI per capita.

Amount = P(1 + r/100)^t = 10000(1 + 10/100)² = 10000 × (11/10) × (11/10) = ₹12,100. CI = 12100 - 10000 = ₹2,100.

The Earth's outer core is liquid and composed of iron and nickel; convection currents within this layer generate the geomagnetic field.

Alkanes are saturated hydrocarbons containing only single covalent bonds, represented by the general formula CnH2n+2.

Brahmi script was used for writing most of Ashoka's edicts across India, written from left to right.

LCM of fractions = (LCM of numerators) / (HCF of denominators) = LCM(2, 4, 5) / HCF(3, 9, 6) = 20 / 1 = 20.

Khwaja Moinuddin Chishti established the Chishti Sufi order in Ajmer, Rajasthan, in the early 13th century.

'Abundant' means existing or available in large quantities; 'scarce' means insufficient for demand.

Article 352 empowers the President to declare a National Emergency due to war, external aggression, or armed rebellion.

The only even prime number on a die is 2. Total outcomes = 6. Probability = 1/6.

The Kodarma-Gaya-Hazaribagh belt of Jharkhand is known worldwide for its rich mica deposits.

Alveoli are tiny air sacs in the lungs surrounded by capillaries where oxygen diffuses into blood and carbon dioxide diffuses out.

Trade winds blow steadily from the subtropical high-pressure areas towards the equatorial low-pressure trough, deflected by the Coriolis force.

Volume of cylinder = πr²h. Volume of cone = (1/3)πr²h. Ratio = πr²h / ((1/3)πr²h) = 3 : 1.

Kautilya (also known as Chanakya or Vishnugupta) wrote the Arthashastra, a masterpiece on political economy and governance during the Maurya period.

One kilowatt-hour (kWh), commonly known as a 'unit', is equal to 3.6 × 10^6 Joules of electrical energy.

The power of judicial review in India is inspired by the Constitution of the United States, allowing the judiciary to invalidate unconstitutional laws.

Let speed be x. 180/x - 180/(x+6) = 1 => solving quadratic yields x = 30 km/h.

Dholavira in Gujarat features an advanced water harvesting and management system with massive stone-cut reservoirs.

Vitamin C (ascorbic acid) deficiency causes scurvy, characterized by bleeding gums and delayed wound healing.

Alluvial soil is deposited by the Indo-Gangetic-Brahmaputra river systems and covers about 40% of India's total land area.

The tangent at any point of a circle is perpendicular to the radius through the point of contact (making an angle of 90°).

Chhath Puja is Bihar's most prominent and unique festival of gratitude to the Sun God for sustaining life on Earth.

Let CP = 100, MP = 120. Selling Price after 10% discount = 120 - 12 = 108. Profit = 108 - 100 = 8%, so profit percentage is 8%.

The Montreal Protocol (1987) is a landmark international treaty designed to protect the ozone layer by phasing out the production of numerous substances that are responsible for ozone depletion.

Udayin shifted the capital of Magadha from Rajagriha to Pataliputra, strategically situated at the confluence of the Ganga and Son rivers.

Kinetic Energy KE = (1/2)mv² = (1/2) × 10 × (5)² = 5 × 25 = 125 Joules.

Mitochondria generate chemical energy (ATP) needed to power biochemical reactions of the cell.

Article 14 embodies the general principles of equality before law and equal protection of the laws within the territory of India.

Pure water is neutral at standard temperature, having a balanced concentration of hydrogen and hydroxide ions, resulting in a pH of exactly 7.

RBI acts as the central bank and lender of last resort, providing emergency financial assistance to solvent banks facing temporary liquidity crises.

Product of two numbers = HCF × LCM => 2160 = 12 × LCM => LCM = 2160 / 12 = 180.

The Indian National Congress was founded in December 1885 in Bombay, with W.C. Bonnerjee as its first president.