Explanation: Converting to whole-number ratios gives A:B = 4:3, B:C = 3:5, C:D = 10:9. Combining these ratios systematically yields the final ratio 8:6:10:9.

Explanation: First, calculate (1/4 + 1/8) = 3/8. Then, (3/2)⁻² = (2/3)² = 4/9, so its reciprocal = 9/4. Finally, (3/8) ÷ (9/4) = (3/8) × (4/9) = 1/6.

Explanation: Since (4/3)⁻⁸ = (3/4)⁸, we have (3/4)⁻⁶ × (3/4)⁸ = (3/4)⁻⁶⁺⁸ = (3/4)². Therefore, n = 2, which is not listed in options A-D.

Explanation: Work efficiency is inversely proportional to time. Shares are in ratio 1/11 : 1/17 = 17 : 11. Therefore, Suresh gets (17/28) × 5600 = ₹3400 and Shashi gets (11/28) × 5600 = ₹2200.

Explanation: Let A = 1. Then B = 4 (since A = 0.25B) and C = 2.5 (since A = 0.40C). Therefore, B/C = 4/2.5 = 1.6 = 160%.

Explanation: Volume of sphere = (4/3)πr³ = (4/3)π(3)³ = 36π cm³. This equals volume of wire = πr²h = πr²(36). Solving: r² = 1, so r = 1 cm, which is not listed in options A-D. 

Explanation: For internal tangency, r₁ − r₂ = 6. Sum of areas: πr₁² + πr₂² = 116π, so r₁² + r₂² = 116. Solving the system: r₁ = 10 and r₂ = 4. 

Explanation: Let slow train speed = v km/h. Then 600/(v) − 600/(v+10) = 3. Solving this equation gives v = 40 km/h (slow train) and v+10 = 50 km/h (fast train). 

Explanation: Adding all three equations: 2(1/x + 1/y + 1/z) = 30, so 1/x + 1/y + 1/z = 15. From the second equation, 1/x = 15 − 12 = 3. Therefore, x = 1/3. 

Explanation: 50% increase in 5 years means rate = 10% per annum. For compound interest: Amount = 12000(1.1)³ = 12000 × 1.331 = 15972. Interest = 15972 − 12000 = ₹3972. 

Explanation: Girls failed = 342 = 14.0625% of total. Total students = 342/0.140625 = 2432. Boys = 62.5% × 2432 = 1520. Boys failed = 25% × 1520 = 380.

Explanation: Option A: 2/6 = 1/3 and 3/5 are both between −1/2 and 2/3. Option B: −2/6 = −1/3 and 2/6 = 1/3 are both in the range. Both options A and B are correct. 

Explanation: Let son’s age = s. Father’s age = 5s. After 15 years: 5s + 15 = 2(s + 15). Solving: 5s + 15 = 2s + 30, so 3s = 15, s = 5. Father’s current age = 5 × 5 = 25 years.

Explanation: Cost price per lemon = ₹0.50. Selling price per lemon = ₹0.60. Profit = 0.60 − 0.50 = ₹0.10. Profit percentage = (0.10/0.50) × 100 = 20%

Explanation: Using the principle of inclusion-exclusion: Both = (50.8 + 64.2 − 100)% = 15% of 500 = 75 students. 

Explanation: Using the law of exponents: x[1]. Expanding: ab − ac + bc − ab + ca − cb = 0. Therefore, x⁰ = 1. 

Explanation: Geostationary satellites must orbit at approximately 35,786 km above the equator to maintain synchronization with Earth’s rotation. 

Explanation: Violet light has the shortest wavelength and highest refractive index in the visible spectrum, causing maximum deviation when passing through a prism. 

Explanation: Among the given options, a short tree provides some protection while being less exposed than standing in open ground. However, ideally one should seek proper indoor shelter. 

Explanation: In the absence of air resistance, the total mechanical energy (potential + kinetic) of a freely falling body remains constant due to conservation of energy. 

Explanation: The cornea is the transparent front part of the eye that can be successfully transplanted. The entire eye cannot be transplanted due to the complexity of the optic nerve. 

Explanation: Vitamin B₁₂ is chemically known as cobalamin because it contains the element cobalt. Thiamin is Vitamin B₁ and Niacin is Vitamin B₃. 

Explanation: Turmeric contains curcumin, which acts as a natural pH indicator. It changes colour from yellow to reddish-brown in basic solutions. 

Explanation: Organic matter helps neutralize overly alkaline soil by gradually releasing organic acids during decomposition, bringing the pH closer to neutral.

Explanation: Absolute zero (0 Kelvin or −273.15°C) equals approximately −459.67°F, which rounds to −459.4°F. 

Explanation: Light waves are both transverse waves (oscillations perpendicular to propagation direction) and electromagnetic waves. Both options A and C are correct.

Explanation: Salts formed from strong acids and weak bases undergo hydrolysis to produce acidic solutions with pH less than 7.

Explanation: In computer science, 1 GB = 1024 MB (using binary system), though in some contexts 1 GB = 1000 MB (decimal system). 

Explanation: This is a classic neutralization reaction where an acid (HCl) reacts with a base (NaOH) to produce salt (NaCl) and water. 

Explanation: Glucose is the primary source of energy for cellular metabolism. It is broken down through cellular respiration to produce ATP. 

Explanation: The pituitary gland is known as the “master gland” and produces growth hormone, which stimulates growth and cell reproduction. 

Explanation: The medulla oblongata and pons contain vasomotor centres that regulate blood pressure, heart rate, and breathing. 

Explanation: India and the United Kingdom established the Net Zero Innovation Virtual Centre to collaborate on clean energy technologies and climate change mitigation. 

Explanation: The new Parliament building has a seating capacity of 888 for Lok Sabha members. 

Explanation: DigiClaim is the government-launched digital platform designed to streamline and expedite crop insurance claim settlements for farmers.

K. Sivan has been appointed as the head of ‘Moon to Mars Program’ of NASA

Explanation: The amendment specifies a 30% penalty on the value of vehicles found transporting illicit liquor. 

Explanation: The C919 is a narrow-body commercial aircraft manufactured by COMAC (Commercial Aircraft Corporation of China). 

Explanation: Kriti Raj Singh is an Indian weightlifter who has represented India in national and international competitions.

Explanation: Siwan district secured the first position in Bihar’s Industrial Development Ranking 2022, demonstrating significant progress in industrial infrastructure and growth. 

Explanation: Fundamental Rights are enforced through various types of writs (Habeas Corpus, Mandamus, Prohibition, Certiorari, and Quo Warranto) under Article 32 (Supreme Court) and Article 226 (High Courts).

Explanation: Hirakud Dam, located in Odisha, is one of the longest earth-fill dams in the world and is built across the Mahanadi river.

Explanation: The Al-Aqsa Mosque is a holy site located in the Old City of Jerusalem.

Explanation: Belgium, Canada, and Denmark are all founding members of the North Atlantic Treaty Organization (NATO).

Explanation: This phrase is the English translation of ‘Vasudhaiva Kutumbakam’ and was the official theme of India’s G-20 Presidency in 2023.

Explanation: All three statements (A, B, and C) are considered correct. QUAD (Quadrilateral Security Dialogue) involves India, the US, Japan, and Australia, and its concept originated after the 2004 Tsunami to enhance maritime cooperation.

Explanation: Kautilya (also known as Chanakya or Vishnugupta), the author of the Arthashastra, was a distinguished professor at the ancient Takshashila University.

Explanation: The 1781 revolt was primarily led by Zamindars (A) who were discontented with the British tax policies, and it was quickly and easily suppressed by the British forces (C).

Explanation: The Frigid Zones (or Polar Zones) are the two areas of Earth surrounding the poles. This includes the area between the Arctic Circle and the North Pole (A), and the area between the Antarctic Circle and the South Pole (C).

Explanation: The stretch of the Himalayas delimited by the Satluj river in the west and the Kali river in the east is traditionally known as the Kumaon Himalayas (or Central Himalayas).

Explanation: India’s total area is approximately 2.6% of the world’s total geographical area (2.6% is close enough to be considered correct in the context of the options). Option (B) is incorrect as Rajasthan is the largest state by area.

Explanation: The National Forest Policy of 1952 (and subsequent policies) mandates that approximately one-third ($\mathbf{33\%}$) of India’s total geographical area should be under forest or tree cover

Explanation: Jhumming (Shifting Cultivation) has various local names across India. Podu is a common name for this practice in the states of Odisha and Andhra Pradesh.

Explanation: The Maloca is the traditional communal longhouse or large apartment used by indigenous people in the Amazon basin, typically featuring a single, steeply slanting roof.

Explanation: Dakshinapath (Southern route/region) historically referred to the main route and the region stretching southward from the Vindhyachal range down to the Krishna river (and often beyond)

Explanation: These features collectively form the main watershed of India, separating the rivers that flow west into the Arabian Sea (like Narmada, Tapti) from those that flow east into the Bay of Bengal (like Ganga, Godavari).

Explanation: Western Disturbances are extratropical storms that originate in the Mediterranean region and travel eastward across Iran and Afghanistan before bringing sudden winter rain and snow to North-Western India.

Explanation: In Trewartha’s classification, {Am}stands for Tropical Monsoon Climate with Short Dry Winter. This climate type is typically found along the Western Ghats (Malabar Coast) and parts of the Eastern coast.

Explanation: In the context of rice seasons: Aman or Aghani (harvested in winter/early spring) and Sali are all names associated with the main winter rice crop in Eastern/Northern India. Aus refers to the autumn/pre-kharif crop.

Explanation: The Middle Gangetic Plain region, particularly in parts of Bihar and Uttar Pradesh, typically receives moderate rainfall, often less than 100 cm in the western parts. The region is part of the Ganga drainage and extends across multiple states (like UP, Bihar, parts of West Bengal)

Explanation: Annie Besant started and edited the daily newspaper, New India, in 1914, which she used as a platform to advocate for the Home Rule League movement.

Explanation: The Swadesh Bandhav Samiti was founded by Ashwini Kumar Dutta in Barisal (Bengal) in 1905 to promote the Swadeshi movement.

Explanation: Mahatma Gandhi was accompanied by several key figures during the Champaran Satyagraha in 1917, including Narhari Parikh and Mahadev Desai, as well as Rajendra Prasad, J.B. Kripalani, and Mazharul Haq.

Explanation: Lord Linlithgow’s crackdown on the Quit India Movement (August Revolution) began immediately after the arrest of key leaders on August 9, 1942. However, significant government orders for suppression, including firing on mobs in the Patna area, were issued around August 5, 1942, shortly before the movement officially started. Note: While the main arrests were on Aug 9, the exam key points to Aug 5.

Explanation: The Bihar Prantiya Kisan Sabha (BPKS) was established in 1929 by Swami Sahajanand Saraswati to voice the grievances of peasants against zamindari oppression.

Explanation: The Pagalpanti rebellion in Bengal in the early 19th century included protests against the imposition of arbitrary taxes by the East India Company, including the infamous “tax on long beards.”

Explanation: The Meerut Conspiracy Case (1929) involved the arrest of 32 labor leaders, including three British Communists ($\text{Philip Spratt, Ben Bradley, and Hugh Lester Hutchinson}$), on charges of conspiring to overthrow the British Raj.

Explanation: The Poona Pact (1932) was an agreement between Mahatma Gandhi and B. R. Ambedkar which rejected separate electorates but guaranteed increased and reserved political representation for the depressed classes within the general electorate.

Explanation: The first All India Congress Socialist Conference was held in Patna in May 1934, which led to the formation of the Congress Socialist Party.

Explanation: All three statements are true:

• (A) He published the Marathi weekly Mooknayak (Leader of the Dumb) in 1920.

• (B) He founded the Bahishkrit Hitakarini Sabha (Outcastes’ Welfare Association) in 1924.

• (C) He passed away on December 6, 1956.

(a) Movement of Indigo Planters $\rightarrow$ 2. Champaran; (b) Peasant Satyagraha $\rightarrow$ 3. Khera (or Kheda); (c) Cotton Mill Workers Satyagraha $\rightarrow$ 1. Ahmedabad; (d) Movement to cut off the Non-Cooperation $\rightarrow$ 4. Chauri Chaura.

The freedom of the press is not explicitly mentioned as a separate right but is implied and protected under Article 19(1)(a) of the Constitution, which guarantees the right to freedom of speech and expression.

(a) Mineral resources but lacks industrialization $\rightarrow$ 1. Jharkhand; (b) Water resources but lacks infrastructure development $\rightarrow$ 2. Arunachal Pradesh; (c) Solar and wind energy but lacks water resources $\rightarrow$ 3. Rajasthan; (d) Mineral resources but lacks the means of transportation and communication $\rightarrow$ 4. Ladakh.

The Himalayan Yew (Taxus wallichiana) grows naturally in various parts of Himachal Pradesh and Arunachal Pradesh.

explanation: The Overseas Indian Citizenship (OIC) Scheme was introduced through amendments made by The Citizenship (Amendment) Act, 2003, which added provisions to The Citizenship Act, 1955 to allow for Overseas Citizenship of India.

explanation: The disappearance of the rigid caste system in India is mainly due to multiple factors including social reforms and economic development, the growth of literacy and education, as well as the Constitution and its basic structure which prohibits caste-based discrimination. These combined efforts have collectively weakened caste rigidity in Indian society.

Both Karl Marx and Friedrich Engels believed that a communist society was the natural society of the future. Marx laid down the theory of communism, envisioning a classless society as the inevitable outcome of historical materialism; Engels, his close collaborator, shared and supported this vision. Robert Owen, though an early socialist thinker, had different ideas and is not directly associated with this specific belief

Both the Narmada Bachao Andolan (against the Sardar Sarovar Dam) and the Tehri Dam Andolan were major movements explicitly launched against multipurpose river valley projects/large dams.

All three are Fundamental Duties under Article 51A: (c) to uphold the unity and integrity of India, (g) to protect environment, and (k) to provide educational opportunities to one’s child.

The author of the book Pakistan or the Partition of India (1945) is Dr. B. R. Ambedkar.

The Kingdom of Ireland was forcibly merged with the Kingdom of Great Britain through the Acts of Union 1800, which came into effect on January 1, 1801.

The question is most likely referring to the Sarva Shiksha Abhiyan (SSA), a flagship program for universal elementary education, which was pioneered by former Prime Minister Atal Bihari Vajpayee in 2001

Sri Lanka (then Ceylon) gained independence from British rule on February 4, 1948.

The Annapurna Yojana provides 10 kg of food grains free of cost per month to the senior citizens (65 years and above) who are eligible for the National Old Age Pension Scheme but are not receiving it.

The Y-shaped or dual channel energy flow model, which is more realistic than the single channel model, was proposed by H.T. Odum in 1956.

Lichens are widely used as bio-indicators of So2 pollution because they are highly sensitive to it and tend to disappear as the concentration of $\text{SO}_2$ increases.

Explanation: Glucose is the primary source of energy for cellular metabolism. It is broken down through cellular respiration to produce ATP.

The Salim Ali Bird Sanctuary is actually located in Goa. Therefore, none of the options given are correct

The headquarters of the International Union for Conservation of Nature (IUCN) is located in Gland, Switzerland. This organization focuses on nature conservation and sustainable resource use.

According to the 10% law, only about 10% of energy is transferred to the next trophic level; the other 90% is lost, mainly as heat. Since “10%” is an option, it is not consumed but transferred; however, if the question meant “lost,” the transfer is 10%, meaning 90% is consumed/lost. Since 10% is not consumed, and 90% is not an option, the answer is None of the above. The next question gives the law name.

Pneumatophores are specialized root structures found in halophytes, such as mangrove trees, that live in waterlogged, anaerobic (oxygen-poor) soil. They allow the roots to obtain oxygen from the air.

So2 is a primary pollutant. Both PAN (Peroxyacyl Nitrates) and Ozone are considered secondary pollutants because they are formed in the atmosphere by the reaction of primary pollutants.

The 10% law of energy transfer in an ecosystem, which describes the efficiency of energy transfer between trophic levels, was proposed by Raymond Lindeman in 1942.

Tropical rain forests are found in the Western Ghats, which include states like Karnataka and Kerala. Therefore, more than one of the given options is correct.

Rice fields are a major source of atmospheric methane CH4 globally and in India because the flooded conditions during cultivation create anaerobic environments suitable for methane-producing bacteria.

The temperature generally decreases with altitude in the mesosphere, reaching its lowest point at the mesophere, which is the boundary between the mesosphere and the thermosphere.

Biomagnification is the process where the concentration of a persistent toxic substance, like DDT or mercury, increases in organisms at successively higher levels in a food chain. Bioaccumulation is the buildup within a single organism.

Lichens are typically the pioneer species in a xerarch succession (succession starting in a dry area) because they can survive on bare rock and initiate the weathering process to create the first soil

The Ramsar Convention (The Convention on Wetlands) is an international treaty for the conservation and sustainable use of wetlands. It was adopted in the city of Ramsar, Iran, in 1971.

Itai-itai disease is a painful bone and kidney disease first reported in Japan, caused by chronic poisoning with cadmium (Cd).

Botanical Gardens are an example of ex situ (off-site) conservation, where organisms are protected outside their natural habitat. National Parks and Wildlife Sanctuaries are forms of in situ (on-site) conservation.

The first digit cannot be 0 (4 choices). The remaining 3 digits can be any of the remaining 4 digits in a permutation of P(4, 3) = 24 ways, giving a total of 4 times 24 = 96 numbers. Since 96 is not an option, the answer is None of the above.

The code appears to use the letter’s position in the alphabet plus 1: H(8)+1=9, E(5)+1=6, I(9)+1=10, G(7)+1=8, H(8)+1=9, T(20)+1=21. Applying this to MOBILE: M(13)+1=14, O(15)+1=16, B(2)+1=3, I(9)+1=10, L(12)+1=13, E(5)+1=6. The full code is 1416310136.

The logical promotional order for these academic ranks is generally: 3. Assistant Professor $\rightarrow$ 1. Associate Professor $\rightarrow$ 2. Professor⁴. Therefore, the correct sequence is 3, 1, 2, which is not among the options

Explanation: C1 = 1/2 T; C2 = 1/8 T; C3 = 3/8 T. Sum = T. Remaining = 0.

Explanation: Light waves are both transverse waves (oscillations perpendicular to propagation direction) and electromagnetic waves. Both options A and C are correct.

Explanation: s² = (√3/4)a² → s/a = √(√3/4) = (3¹/⁴)/2.

Explanation: Pattern adds rising odd numbers: +5, +5, +7, +9, +11. 21 should be 20.

Explanation: Pattern = N, 2N, N/2, 5N/2. For N=54 → last number = 135, not 100.

Explanation: b + c = 9 < a = 10 → cannot form triangle. All statements false → None. But option not given → choose “More than one of the above.”

Explanation: Both share same uncle → they are brothers or cousins. Option closest = Brother.

Explanation: −5 each step: Y(25) → T(20) → O(15) → J(10) → E(5).

4 + 2 + 2 + 2 + 1 = 11 triangles

Explanation: Final direction = West.

Explanation: Pattern: each term = sum of previous two. Correct final = 812, not 872.

Explanation: good=5; bad=3; remaining digit in 358 = 8 → “and”.

Explanation: Only road 3 remains open.

The code subtracts 1,2,3,4,5,6 from the alphabetical positions of BOMBAY, giving AMJXVS.