WBCS Prelims 2012 Question Paper with Answers & Explanations

Explanation

The word aural is derived from the Latin noun auris, which translates to ear. It is an adjective used to describe anything that relates to the ear, the sense of hearing, or the perception of sound.

Explanation

The adjective tortuous originates from the Latin word tortuosus, which translates to full of bends or winding. It is used to describe a physical path, road, or river that is characterized by repeated twists, bends, and turns. It can also metaphorically describe a process, argument, or chain of events that is exceedingly complex, lengthy, and indirect.

Explanation

Days of the week take the preposition "on," so a specific day like Monday is written as "on Monday." The fixed expression for travelling for an official or professional trip is "on tour," meaning engaged in a journey or series of visits. Both blanks therefore require "on," giving the natural sentence: I am going to Chennai on Monday on tour. The alternatives "of," "with," and "in" do not fit either a day reference or the idiomatic phrase "on tour."

Explanation

The idiomatic expression "out of the frying pan into the fire" is used to describe a transition from a difficult, bad, or unfavorable situation to one that is even worse or more critical. In the context of the sentence, changing jobs did not bring relief but instead resulted in a shift into an even more troublesome scenario, signifying a movement from a bad condition to a worse one.

Explanation

The verb sympathise requires the preposition with when expressing compassion, condolences, or shared feelings of sorrow toward a person. In this context, expressing support to someone during their bereavement is idiomatically phrased as sympathising with them.

Explanation

A manicurist is a professional beautician who specializes in the cosmetic care and treatment of fingernails and hands. The term is derived from the Latin words manus, meaning hand, and cura, meaning care, directly relating to the cleaning, shaping, polishing, and overall grooming of the nails.

Explanation

The idiomatic phrase in English is by dint of, which functions as a compound preposition meaning by means of, as a result of, or through the force of. In this context, the preposition of completes the idiom to express that the success was achieved through the application of hard work.

Explanation

The word mar means to ruin, spoil, impair, or damage the quality or progress of something. In the context of global economics, an increase in oil prices has a severely negative impact on international commerce by raising transportation and production costs, thereby deteriorating or worsening the future prospects of the trade world.

Explanation

The term pugilist refers to a professional boxer or a person who fights with their fists. It originates from the Latin word pugil, meaning a boxer, which is closely related to pugnus, meaning fist. The practice, sport, or art of boxing is also formally known as pugilism.

Explanation

The idiom "by hook or by crook" means to achieve a particular goal by any possible method, regardless of whether the methods used are honest and honorable or dishonest and unfair. Thus, it equates to accomplishing an objective by any means, fair or foul.

Explanation

The adjective weak is typically followed by the preposition in when specifying the particular field, subject, or area of deficiency. Just as one is proficient in a discipline like music, one is described as being weak in a subject area like study. This maintains parallel prepositional structure across both clauses of the sentence.

Explanation

The term gourmet refers to a connoisseur of good food and drink. It designates a person with refined taste who possesses a deep appreciation, knowledge, and understanding of culinary arts, high-quality ingredients, and the preparation of fine cuisine.

Explanation

The term cacography is derived from the Greek roots kakos, which means bad or poor, and graphia, which means writing or spelling. Thus, it literally translates to bad writing and is commonly used to denote bad spelling or poor handwriting.

Explanation

The idiom hold fire means to delay making a decision, taking action, or doing something. It originates from the military command to stop shooting or to wait before shooting a weapon, which has been metaphorically extended to general situations where someone is advised to wait or postpone an action until the timing is more appropriate or more information is available.

Explanation

The term soliloquy is derived from the Latin words solus, meaning alone, and loqui, meaning to speak. It refers to a dramatic or literary device in which a character speaks their thoughts aloud when they are alone, thereby sharing their innermost feelings, motives, and reflections directly with the audience.

Explanation

The idiom to take up the gauntlet originates from the medieval custom of knighthood. A gauntlet was a heavy armored glove worn by soldiers. A knight would issue a formal challenge to a duel by throwing his gauntlet onto the ground, and if the opponent picked it up, it symbolized that he accepted the challenge. Over time, the phrase evolved into a common English idiom meaning to accept a challenge, invitation, or task that requires courage or effort.

Explanation

The pair liquid and solid is set in opposition because they represent antonyms or contrasting states of matter. A liquid is a fluid substance that flows and takes the shape of its container, whereas a solid is firm, stable, and retains a definite shape and volume.

Explanation

The word thespian is derived from Thespis of Icaria, a Greek poet who is historically credited as the first person ever to appear on stage as an actor, playing a character in a play rather than speaking as part of the chorus. Because of this connection to classical Greek drama and tragic theater, thespian art refers specifically to the art of theater, acting, or tragedy.

Explanation

The noun desire is typically followed by the preposition for when expressing a strong wish, craving, or longing for something. In the given sentence, desire is used as a noun, making the preposition for the grammatically correct choice to show a lack of yearning for fame.

Explanation

The noun exception is conventionally followed by the preposition to when indicating that a specific case does not follow a general rule, pattern, or law. This forms the standard idiomatic expression exception to the rule.

Explanation

Venison is the culinary term used to refer to the meat of a deer. The term historically originated from the Latin word venari, which means to hunt, and was originally used to describe the meat of any wild game animal killed during a hunt. Over time, the usage of the word narrowed down to refer exclusively to deer meat, which is a lean and highly nutritious game meat.

Explanation

The term regicide is derived from the Latin words rex, which means king, and caedere, which means to kill. It specifically refers to the act of killing a king or a reigning monarch.

Explanation

The word lachrymose is derived from the Latin root lacrima, which translates to tear. In English, it is used as an adjective to describe someone who is tearful, mournful, or given to weeping easily. Thus, having a lachrymose nature means possessing a disposition that is highly prone to tears.

Explanation

The common English idiomatic expression is to sweep something under the carpet, or alternatively, sweep something under the rug. This figurative phrase means to deliberately hide, conceal, or ignore an embarrassing fact, problem, or scandal in the hope that it will be forgotten or remain unnoticed by others.

Explanation

The term astronomy is derived from the classical Greek words astron, meaning star, and nomos, meaning law or arranging. It is the branch of science that deals with the study of celestial bodies, primarily stars, planets, and other outer space phenomena. Etymologically, the literal meaning of astronomy is the law of the stars or the study of stars.

Explanation

Harish Chandra Mukherjee became the editor of the Hindoo Patriot in 1855 and maintained this role until his death in 1861. Under his influential editorship, the weekly English newspaper became a powerful voice against British colonial exploitation, playing a historic role in exposing the atrocities committed by indigo planters against local peasants during the Indigo Revolt of 1859-1860.

Explanation

According to the Census of India 2001, the average annual exponential growth rate of India's population was 1.93 percent per annum during the decade from 1991 to 2001. This marked a decline from the 2.14 percent per annum recorded during the previous decade of 1981 to 1991, representing a significant downward trend in the annual population growth rate.

Explanation

The area A of a circle with radius r is given by the formula: A = π r²

Let the radii of the two circles be r₁ and r₂, and their respective areas be A₁ and A₂. The ratio of their areas is: A₁ / A₂ = (π r₁²) / (π r₂²) = (r₁ / r₂)²

Given that the ratio of the radii of the two circles r₁ : r₂ is 5 : 4, we substitute this into the relation: A₁ / A₂ = (5 / 4)² = 25 / 16

This yields the ratio of their areas as 25 : 16.

Explanation

The Cost Price (CP) of the article is calculated using the formula: CP = SP₁ / (1 + P₁ / 100)

where SP₁ = 30 is the initial selling price and P₁ = 25 is the initial profit percentage. CP = 30 / (1 + 0.25) = 30 / 1.25 = 24

If the article is sold for the new selling price SP₂ = 33.60, the new profit percentage P₂ is given by: P₂ = ((SP₂ - CP) / CP) * 100 P₂ = ((33.60 - 24) / 24) 100 = (9.60 / 24) 100 = 40%

Explanation

Allan Octavian Hume (A.O. Hume), a retired British Civil Service officer, played a pivotal role in the founding of the Indian National Congress in December 1885. He acted as the primary organizer and facilitator, bringing together English-educated Indian elites from various parts of the country to discuss political reform. Recognizing his instrumental role in establishing and nurturing the organization in its initial years, the Indian National Congress formally designated him as its Father and Founder at the Bankipore Session in December 1912, following his demise.

Explanation

Lymphatic filariasis is caused by parasitic filarial roundworms, primarily Wuchereria bancrofti and Brugia malayi. The adult worms localize in the lymphatic vessels and lymph nodes of the human host, where they live, mate, and produce millions of microscopic larvae called microfilariae. Their presence in the lymphatic system disrupts the normal flow of lymph fluid, leading to lymphatic dysfunction and the characteristic swelling known as lymphedema.

Explanation

According to the 2001 Census of India, the literacy rate of West Bengal was 68.64 percent, which was above the national average of about 64.8 percent for that census year. Male literacy in the state stood at roughly 77 percent and female literacy at about 60 percent, giving the combined figure of 68.64 percent. This rose further to about 76 percent in the subsequent 2011 Census.

Explanation

Womesh Chandra Bonnerjee presided over the first session of the Indian National Congress, which was held in Bombay from 28 to 31 December 1885. This historic meeting took place at the Gokuldas Tejpal Sanskrit College and was attended by seventy-two delegates from different parts of India, marking the formal establishment of the Indian National Congress.

Explanation

According to the 2001 Census of India, West Bengal recorded an overall literacy rate of 68.64%, with male literacy at 77.02% and female literacy at 59.61%. This female figure of 59.61% was notably higher than the national female literacy average of 53.67% recorded in the same census, reflecting West Bengal's relatively stronger position among Indian states at that time.

Explanation

Antidiuretic hormone, also known as vasopressin, is synthesized by the hypothalamus and released by the posterior pituitary gland to regulate the body's water balance. It acts on the kidneys to promote water reabsorption in the collecting ducts. A deficiency or lack of this hormone impairs the kidneys' ability to conserve water, leading to the excretion of large volumes of dilute urine and chronic thirst, a condition known as diabetes insipidus.

Explanation

The nationalist journal Bande Mataram was founded and edited by Madame Bhikhaiji Cama in Paris in September 1909. Published under the auspices of the Paris Indian Society, this monthly revolutionary organ advocated for complete Indian independence and smuggled radical nationalist literature into India. It was launched in response to the British government's ban on Bankim Chandra Chattopadhyay's patriotic song and the Calcutta-based newspaper of the same name.

Explanation

To find the number of 9s sandwiched between 6 and 7, we must identify all occurrences of the sequences 697 and 796 in the given string: 696996676979669779667.

Analyzing the string step-by-step:

The first occurrence is the sequence 697, which appears as 6 9 6 9 9 6 6 7 [6 9 7] 9 6 6 9 7 7 9 6 6 7.

The second occurrence is the sequence 796, which immediately follows, appearing as 6 9 6 9 9 6 6 7 6 9 [7 9 6] 6 9 7 7 9 6 6 7.

The third occurrence is the sequence 697, appearing as 6 9 6 9 9 6 6 7 6 9 7 9 6 [6 9 7] 7 9 6 6 7.

The fourth occurrence is the sequence 796, appearing as 6 9 6 9 9 6 6 7 6 9 7 9 6 6 9 7 [7 9 6] 6 7.

These are the only four instances where a 9 is positioned directly between a 6 and a 7 in either order.

Explanation

Amphibians are characterized by highly permeable skin that is crucial for cutaneous respiration and water absorption. In hypertonic marine environments, this semi-permeable skin leads to rapid, lethal dehydration due to osmotic water loss and the excessive influx of salt. Because amphibians lack specialized salt glands or the advanced renal mechanisms required to excrete excess salt and retain water against a strong osmotic gradient, they are physiologically unable to survive in saltwater habitats. Consequently, this animal group is not represented in marine ecosystems.

Explanation

According to the Census of India 2001, Bihar recorded the lowest overall literacy rate in the country at approximately 47.0 percent. The male literacy rate in the state stood at 59.68 percent, while the female literacy rate was 33.12 percent, both of which were also the lowest among all Indian states during that census period.

Explanation

The Gadar Party was a revolutionary organization founded in 1913 in San Francisco, USA, with the primary objective of liberating India from British rule through an armed struggle. Lala Har Dayal was the driving force and key founder behind this movement, serving as its general secretary and utilizing his intellectual influence to mobilize the Indian diaspora, particularly Punjabi immigrants in North America, through the publication of the weekly journal Ghadar.

Explanation

Let the three consecutive odd integers be x, x+2, and x+4.

The first integer is x and the third integer is x+4.

According to the given condition: 3x = 2(x+4) + 3

Solving the equation for x: 3x = 2x + 8 + 3 x = 11

The third integer is: x + 4 = 11 + 4 = 15

Explanation

The pH scale is used to specify the acidity or basicity of an aqueous solution. Under physiological conditions, the pH of normal human blood is strictly regulated within a narrow range of 7.35 to 7.45. Since a pH value above 7 is considered basic, normal human blood is slightly alkaline. This precise homeostatic balance is vital for optimal cellular function and is maintained by the coordinated actions of chemical buffers in the blood, the respiratory system, and the renal system.

Explanation

Chakravarti Rajagopalachari was the last Governor-General of India, serving from 21 June 1948 until 26 January 1950. He was also the only Indian national to hold this position. His tenure concluded when India adopted its constitution and transitioned into a republic, officially replacing the office of the Governor-General with that of the President of India.

Explanation

The Delhi Conspiracy Case of 1912 was a revolutionary conspiracy aimed at assassinating the Viceroy of India, Lord Hardinge, during his formal entry into the new capital of Delhi. Rashbihari Bose was the primary mastermind behind this assassination attempt, planning the bomb attack that took place at Chandni Chowk on 23 December 1912. Although Lord Hardinge survived the explosion with injuries, Rashbihari Bose successfully evaded the colonial authorities and eventually escaped to Japan in 1915, where he continued to support the Indian national movement from abroad.

Explanation

According to the Census of India 2001, the sex ratio of the country was 933 females per 1000 males. This demographic indicator, defined as the number of females per 1000 males in the population, showed an upward trend from the preceding 1991 census which had recorded a sex ratio of 927.

Explanation

According to the divisibility rule of 11, a number is divisible by 11 if the difference between the sum of the digits at odd positions and the sum of the digits at even positions is either 0 or a multiple of 11.

For the four-digit number a381: Sum of digits at odd positions (1st and 3rd digits) = a + 8 Sum of digits at even positions (2nd and 4th digits) = 3 + 1 = 4

The difference between these sums is: (a + 8) - 4 = a + 4

For the number to be divisible by 11, this difference must be equal to 11 (since a is a single-digit non-zero integer): a + 4 = 11 a = 7

Explanation

Pythons are non-venomous snakes belonging to the family Pythonidae. They lack venom glands and instead hunt by ambush and constriction. When capturing prey, a python bites to hold the animal and then rapidly wraps its strong, muscular body coils around it, squeezing tightly to cut off the prey's blood flow and breathing until it suffocates.

Explanation

Harisena was the court poet of the Gupta Emperor Samudragupta. He composed the famous Allahabad Prasasti, also known as the Prayag Prasasti. Written in elegant classical Sanskrit prose and verse, this inscription on an Ashokan pillar provides a detailed account of Samudragupta's military campaigns, conquests, and the extent of his empire.

Explanation

The Government of India Act 1919 is known as the Mont-Ford Reforms or the Mont-Ford Act, named after Edwin Montagu, who was the Secretary of State for India, and Lord Chelmsford, who was the Viceroy of India. This act introduced significant constitutional reforms, most notably the system of dyarchy in the provincial executive, which divided provincial subjects into reserved and transferred categories, and established a bicameral legislature at the central level.

Explanation

The East Kolkata Wetlands is a complex of natural and human-made wetlands lying east of the city of Kolkata. It was designated as a Ramsar site under the Ramsar Convention on August 19, 2002. This ecological system is globally recognized for its unique, low-cost wastewater treatment and resource recovery system where the municipal organic sewage is naturally processed and utilized for pisciculture in fishponds and agriculture.

Explanation

The Comprehensive Nuclear-Test-Ban Treaty (CTBT) is a multilateral treaty that bans all nuclear explosions, for both civilian and military purposes, in all environments. It was adopted by the United Nations General Assembly on 10 September 1996 to curb the development and qualitative improvement of nuclear weapons, making it a key international agreement in global nuclear disarmament and non-proliferation efforts.

Explanation

Let the principal sum be P and the annual simple interest be I.

The amount after 10 years is P + 10 I = 1600 and the amount after 4 years is P + 4 I = 1240.

Subtracting the 4-year amount from the 10-year amount gives the simple interest earned over the 6-year interval: 6 I = 1600 - 1240 = 360

This yields an annual interest of: I = 60

The simple interest accumulated over 4 years is: 4 I = 4 × 60 = 240

Subtracting this 4-year interest from the total amount at 4 years gives the principal sum: P = 1240 - 240 = 1000

Explanation

During the Non-Cooperation Movement, on February 5, 1922, a clash occurred at Chauri Chaura in the Gorakhpur district of the United Provinces. A crowd of protestors set fire to a local police station, resulting in the deaths of 22 police officers. Mahatma Gandhi, who was a staunch advocate of absolute non-violence, believed that the movement was losing its peaceful character and that the public was not yet fully prepared for a non-violent satyagraha. Deeply hurt by this incident of mob violence, he decided to immediately suspend the national Non-Cooperation Movement, a decision formally ratified by the Congress Working Committee at Bardoli on February 12, 1922.

Explanation

Sundarbans National Park was inscribed as a UNESCO World Heritage Site in 1987 under Natural Criteria (ix) and (x). Criterion (ix) recognizes the area for representing outstanding ongoing ecological and biological processes in the evolution and development of terrestrial, fresh water, coastal, and marine ecosystems. Criterion (x) honors the site for containing the most important and significant natural habitats for the in-situ conservation of biological diversity (biodiversity), especially hosting threatened species of outstanding universal value. The region serves as a crucial habitat for a vast array of flora and fauna, including the world's largest concentration of Royal Bengal Tigers, estuarine crocodiles, and numerous rare bird and aquatic species, making its rich biodiversity the primary justification for its World Heritage designation.

Explanation

Encephalitis is an acute inflammation of the brain primarily caused by viral infections, such as those from the Japanese encephalitis virus, herpes simplex virus, and arboviruses. The virus directly infects the brain tissue or triggers an autoimmune response following a viral infection elsewhere in the body, leading to neurological symptoms and inflammation of the central nervous system.

Explanation

The institution of Lokayukta was first established in Maharashtra in 1971 through the enactment of the Maharashtra Lokayukta and Upa-Lokayuktas Act, 1971. Although Odisha was the first state to pass the relevant legislation in 1970, it did not implement or establish the institution until 1983, making Maharashtra the pioneer in setting up and functionalizing this anti-corruption ombudsman.

Explanation

The Lahore session of the Indian National Congress was held in December 1929 under the presidency of Jawaharlal Nehru. During this session, the Congress passed the historic Purna Swaraj resolution, which officially declared complete independence as the ultimate goal of the Indian national movement. Following this declaration, the Indian tricolor was hoisted on the banks of the River Ravi on 31 December 1929, and the Congress called upon the people of India to observe 26 January 1930 as Independence Day.

Explanation

The Bengal delta is one of the most tectonically active and geomorphologically dynamic deltaic systems in the world. The south-eastern part of this delta is undergoing subsidence, which is a slow downward settling or sinking of the Earth's surface. This subsidence is driven by a combination of natural and anthropogenic processes, including the compaction and consolidation of thick, geologically young Quaternary sediment layers under their own weight. Tectonic sagging within the Bengal Basin and the pressure from massive sediment loading delivered by the Ganges-Brahmaputra-Meghna river systems also contribute significantly to the downward movement of the land crust in this region.

Explanation

The 2011 Sikkim earthquake, which occurred on September 18, 2011, had a mainshock of magnitude 6.9. Within an hour of the main seismic event, the region experienced multiple significant aftershocks, including a prominent tremor measuring 5.3 on the Richter scale at 18:42 IST.

Explanation

The number of strikes in a single 12-hour cycle is the sum of the first 12 natural numbers. Using the arithmetic progression sum formula, the sum of the first n natural numbers is given by:

Sₙ = (n(n + 1))/(2)

For n = 12:

S₁₂ = (12 × 13)/(2) = 78

A single day has 24 hours, which corresponds to two 12-hour cycles. Therefore, a 2-day period contains four 12-hour cycles. The total number of strikes over 2 days is:

4 × 78 = 312

Explanation

Bhagat Singh, along with Batukeshwar Dutt, threw low-intensity smoke bombs into the Central Legislative Assembly in Delhi on April 8, 1929. This act was planned to protest against the passage of two repressive measures, the Public Safety Bill and the Trade Disputes Bill. Immediately after throwing the bombs and showering leaflets that proclaimed, "It takes a loud noise to make the deaf hear," they raised the historic slogan Inquilab Zindabad, which translates to Long Live Revolution. They deliberately chose not to flee and surrendered to the police so they could use the subsequent court trial as a platform to propagate their revolutionary ideals across the nation.

Explanation

IRS 1A was India's first operational remote sensing satellite, successfully launched into a polar sun-synchronous orbit on March 17, 1988, from the Baikonur Cosmodrome in Kazakhstan using a Soviet Vostok-2M launch vehicle. Designed, built, and managed by the Indian Space Research Organisation (ISRO), this satellite carried two advanced Linear Imaging Self-Scanning sensors, LISS-I and LISS-II. The successful deployment and operation of IRS 1A established India's capabilities in utilizing space-based data for national development, specifically in key areas such as agriculture, forestry, hydrology, geology, and land-use mapping.

Explanation

Namma Metro, which translates to Our Metro in Kannada, is the rapid transit system serving Bengaluru, Karnataka. The metro network was first flagged off and opened to the public on October 20, 2011, with the launch of the 6.7-kilometre Reach-1 section between Mahatma Gandhi Road and Baiyappanahalli on the Purple Line. This launch established Bengaluru as the first city in South India to possess a modern rapid transit system.

Explanation

When the value of a quantity is r% more than another, the second quantity is less than the first by:

( (r)/(100 + r) × 100 )%

Substituting r = 30 into the formula:

( (30)/(100 + 30) × 100 )% = ³⁰⁰⁰⁄₁₃₀% = ³⁰⁰⁄₁₃% ≈ 23.07%

Explanation

On 1 October 1906, a delegation of 35 prominent Muslim leaders, known as the Simla Deputation, met with Viceroy Lord Minto at Simla. The deputation was led by Aga Khan III. The delegation presented a memorandum advocating for the political rights of the Muslim community in India. Their key demands included the provision of separate electorates for Muslims and representation in government services commensurate with their historical and political importance. This meeting laid the groundwork for the establishment of the All India Muslim League later in December 1906.

Explanation

The Global Positioning System (GPS) is a satellite-based radionavigation system that provides geolocation and time information to a GPS receiver anywhere on or near the Earth. By calculating the time delay of signals received from at least four orbiting satellites, a GPS receiver determines its precise three-dimensional position on the Earth's surface. This position is calculated and displayed in the form of geographic coordinates, specifically latitude, longitude, and altitude.

Explanation

The Rigveda contains the earliest reference to the Varna system in the Purusha Sukta hymn of its tenth mandala (Book 10). This hymn describes the creation of the universe and states that the four social classes—Brahmana, Rajanya (Kshatriya), Vaishya, and Shudra—emerged from the mouth, arms, thighs, and feet of the cosmic being, Purusha, respectively. This represents the foundational literary source for the division of society into four distinct varnas.

Explanation

The number of ways to choose and arrange r elements from a set of n distinct elements is given by the permutation formula:

P(n, r) = (n!)/((n-r)!)

In this problem, we need to choose 2 distinct positions, a captain and a vice-captain, from a group of 11 players. Here, n = 11 and r = 2. Substituting these values into the formula:

P(11, 2) = (11!)/((11-2)!) = (11!)/(9!) = 11 × 10 = 110

Alternatively, the position of the captain can be filled in 11 ways. Once the captain is selected, the position of the vice-captain can be filled in 10 ways from the remaining players. Applying the fundamental counting principle, the total number of ways to choose both is:

11 × 10 = 110

Explanation

A stereoscope is an optical instrument used to view stereoscopic pairs of aerial photographs in three dimensions (3D). When two aerial photographs are taken from slightly different positions with an overlapping area, they form a stereo pair. Viewing this stereo pair through a stereoscope allows the user to perceive the depth, elevation, and relief of the terrain, enabling detailed stereoscopic analysis and interpretation of the ground features.

Explanation

The workers' organization founded by Mahatma Gandhi in 1920, along with Anasuya Sarabhai, is the Majoor Mahajan Sangh, which is also known as the Ahmedabad Textile Labour Association. It was established following the historic Ahmedabad Mill Strike of 1918 to organize textile workers and advocate for their rights using Gandhian principles of non-violence, arbitration, and trusteeship. Gandhi consciously paired the term Majoor, meaning laborers, with Mahajan, a title of respect traditionally reserved for mercantile guilds and elites, to elevate the social status, pride, and dignity of the working class.

Explanation

The veteran filmmaker, screenwriter, and producer K. Balachander was honored with the Dadasaheb Phalke Award for the year 2010 at the 58th National Film Awards. He was recognized for his outstanding contribution to the growth and development of Indian cinema. Known for his socially conscious films and distinctive filmmaking style, he directed and produced over one hundred films, primarily in Tamil, Telugu, and Kannada, and is widely celebrated for mentoring and launching the careers of several major stars in the Indian film industry.

Explanation

The function f(x, y) is defined as: f(x, y) = (x + y)/(2)

Substituting the given values x = 0 and y = 0.5 into the function: f(0, 0.5) = (0 + 0.5)/(2) = (0.5)/(2) = 0.25

This yields the desired value of 0.25.

Explanation

The Damodar Valley Project, managed by the Damodar Valley Corporation established in 1948, was the first multipurpose river valley project of independent India. It was designed and modeled after the Tennessee Valley Authority of the United States of America. The project adopted this framework to implement a unified, basin-wide development strategy aimed at controlling devastating floods, facilitating irrigation, promoting afforestation, and generating hydroelectric power in the Damodar River basin.

Explanation

The 124th edition of the Durand Cup in 2011 was won by Churchill Brothers. In the final match played at the Ambedkar Stadium in New Delhi on October 15, 2011, Churchill Brothers defeated Prayag United 5-4 in a penalty shootout after the match ended in a goalless draw in regular and extra time. This victory marked the third Durand Cup title for the Goan club.

Explanation

Let the total work be represented by the least common multiple of 10, 20, and 5, which is 20 units.

The daily work efficiency of A is: E_A = ²⁰⁄₁₀ = 2 units per day

The daily work efficiency of B is: E_B = ²⁰⁄₂₀ = 1 unit per day

The combined daily efficiency of A, B, and C working together is: E_A₊_B₊_C = ²⁰⁄₅ = 4 units per day

The individual daily efficiency of C is calculated by subtracting the efficiencies of A and B from the combined efficiency: E_C = E_A₊_B₊_C - (E_A + E_B) = 4 - (2 + 1) = 1 unit per day

The time required for C alone to complete the work is: Time = (Total work)/(E_C) = ²⁰⁄₁ = 20 days

Explanation

The Constitution of India came into force on 26th January 1950, marking the transition of the nation into a sovereign, democratic republic. Although the Constituent Assembly adopted the Constitution on 26th November 1949, the date of 26th January was specifically chosen for its commencement to commemorate the Purna Swaraj declaration promulgated by the Indian National Congress in 1930. This historic day is celebrated annually across the nation as Republic Day.

Explanation

The extraction of aluminium from bauxite ore is carried out in two distinct stages. In the first stage, known as the Bayer process, bauxite is chemically refined to produce alumina (aluminium oxide, Al₂O₃). In the second stage, known as the Hall-Héroult process, this alumina is dissolved in molten cryolite and electrolytically reduced to obtain pure aluminium metal. Thus, alumina is the direct intermediate material extracted from the bauxite ore.

Explanation

The National Advisory Council was established in 2004 by the United Progressive Alliance government to advise the Prime Minister and facilitate the implementation of the Common Minimum Programme. Sonia Gandhi served as the Chairperson of this council from its inception in 2004 until 2006, and was reappointed to the position when the council was reconstituted in 2010, serving as its head in 2012.

Explanation

Dr. B. R. Ambedkar, the chief architect of the Indian Constitution and a towering Dalit leader, formally renounced Hinduism and converted to Buddhism on 14 October 1956 at Deekshabhoomi in Nagpur, Maharashtra. He believed that conversion to Buddhism was the only path for Dalits to escape the oppressive caste system of Hinduism and achieve social equality and self-respect. Along with him, over 365,000 of his followers also embraced Buddhism on this historic occasion, initiating the Navayana Buddhist movement in India.

Explanation

In 2005, the South Korean steelmaker POSCO signed a Memorandum of Understanding with the state government of Odisha to establish a massive 12-million-tonne-capacity integrated iron and steel plant in Jagatsinghpur district, along with a captive power plant and a minor port. This mega project, valued at approximately 12 billion dollars, faced immense local resistance, regulatory delays, and environmental disputes. Between 2010 and 2012, the project encountered severe hurdles as the Ministry of Environment and Forests and the National Green Tribunal raised concerns, instituted review committees, and suspended the required environmental and forest clearances, effectively stalling the construction of the proposed iron and steel plant.

Explanation

The term Habeas Corpus is a Latin phrase that literally translates to to have the body. It is an extraordinary legal remedy or writ employed to secure the release of a person who has been unlawfully detained or imprisoned, by directing the detaining authority to produce the individual before the court so that the legality of the detention can be investigated.

Explanation

National Integration Day, also known as Qaumi Ekta Diwas, is celebrated across India on 19th November to commemorate the birth anniversary of Indira Gandhi, the country's first female Prime Minister. The day is observed to foster a sense of unity, peace, and communal harmony among the diverse populations of the nation, reflecting her dedication to maintaining the integrity and security of the country.

Explanation

Samudragupta was the son of Chandragupta I and the Lichchhavi princess Kumaradevi. In the famous Allahabad Pillar Inscription, or Prayag Prashasti, composed by his court poet Harishena, Samudragupta is proudly described as Lichchhavidauhitra, which translates to the daughter's son of the Lichchhavis. This title highlights the political importance and prestige associated with the matrimonial alliance between the Gupta dynasty and the powerful Lichchhavi clan.

Explanation

In the landmark S.R. Bommai vs. Union of India case of 1994, the Supreme Court of India placed significant restrictions on the Union Government's power to dismiss state governments under Article 356. The Court held that the proclamation of President's Rule is subject to judicial review and that the material on which the President bases their satisfaction can be scrutinized. It established that the majority of a state government must be tested on the floor of the Legislative Assembly rather than through the subjective opinion of the Governor. This ruling effectively curbed the arbitrary dismissal of state governments by the ruling party at the Centre, making the imposition of Article 356 much more difficult.

Explanation

Using the relation Income - Saving = Expenditure, let the incomes of A and B be 3x and 2x respectively. Since both save Rs. 1000, their expenditures are 3x - 1000 and 2x - 1000.

The ratio of their expenditures is given as:

(3x - 1000)/(2x - 1000) = ⁵⁄₃

By cross-multiplying, we get:

3(3x - 1000) = 5(2x - 1000)

9x - 3000 = 10x - 5000

x = 2000

B's income is 2x, which equals 2 × 2000 = 4000.

Explanation

For a constant distance, speed is inversely proportional to time taken, which is expressed by the formula t ∝ ¹⁄ₛ.

Thus, the ratio of the time taken by the three cars is the reciprocal of the ratio of their speeds:

t₁ : t₂ : t₃ = ½ : ⅓ : ¼

To convert this into integer form, multiply each term by the least common multiple of the denominators (2, 3, and 4), which is 12:

t₁ : t₂ : t₃ = (½ × 12) : (⅓ × 12) : (¼ × 12) = 6 : 4 : 3

Explanation

Sardar Vallabhbhai Patel, serving as the first Home Minister of independent India, was the chief architect of the modern All India Services, including the Indian Administrative Service (IAS). He advocated for a strong and unified administrative structure to ensure national integration, stability, and efficient governance for the newly independent nation. Under his leadership, the colonial-era Indian Civil Service (ICS) was transitioned into the Indian Administrative Service. Because of his pioneering role in establishing these services and his famous address to the first batch of administrative service officers where he referred to them as the steel frame of India, he is widely regarded as the Patron Saint of India's civil servants.

Explanation

The Ganga Water Treaty is a bilateral treaty signed between India and Bangladesh on December 12, 1996. The historic 30-year agreement was signed by the then Indian Prime Minister H. D. Deve Gowda and the Bangladeshi Prime Minister Sheikh Hasina in New Delhi. It established a formula for sharing the surface waters of the Ganges River at the Farakka Barrage during the lean period from January 1 to May 31 each year.

Explanation

Let the starting point of the man be represented as the origin (0, 0) on a Cartesian coordinate system, with the initial "in front" direction aligned along the positive y-axis (North).

First, walking 10 metres in front (North) places him at (0, 10).

Second, turning to his right (East) and walking 10 metres places him at (10, 10).

Third, turning to his left (North) and walking 5 metres places him at (10, 15).

Fourth, turning to his left (West) and walking 15 metres places him at (-5, 15) since: 10 - 15 = -5

Fifth, turning to his left again (South) and walking 15 metres places him at (-5, 0) since: 15 - 15 = 0

The distance between his final position (-5, 0) and his starting point (0, 0) is calculated as: √((-5 - 0)² + (0 - 0)²) = 5 metres

Explanation

The Indo-Soviet Treaty of Peace, Friendship and Cooperation was signed on August 9, 1971, between India and the Soviet Union. This landmark treaty was signed by Swaran Singh, India's Minister of External Affairs, and Andrei Gromyko, the Soviet Foreign Minister. It played a crucial strategic role during the Bangladesh Liberation War of 1971 by providing India with a diplomatic and military security shield against potential foreign interventions, marking a significant milestone in Indian foreign policy.

Explanation

The total salary drawn by the man is S = 5000 rupees.

First, he deposits 10% of this sum in the bank. The remainder of the salary left after this deposit is:

Remainder = 5000 × (1 - ¹⁰⁄₁₀₀) = 5000 × 0.90 = 4500 rupees

He then pays 4% of this remainder as house rent. The amount paid as house rent is calculated as:

House Rent = 4500 × ⁴⁄₁₀₀ = 4500 × 0.04 = 180 rupees

Explanation

The Kaivartta rebellion was a significant peasant and military uprising in the eleventh century against the Pala dynasty in Bengal. The revolt was led by Divya, a powerful Kaivartta chief who held a high administrative position under the Pala rulers. Seizing the opportunity created by the weak administration and misrule of Mahipala II, Divya mobilized the Kaivartta community, defeated and killed Mahipala II, and established a sovereign Kaivartta dynasty in Varendra. This rebellion and its leaders are famously chronicled in Sandhyakar Nandi's epic Sanskrit poem Ramacharitam.

Explanation

Maulana Abul Kalam Azad, an eminent scholar, senior leader of the Indian National Congress, and the first Education Minister of independent India, authored the autobiographical book India Wins Freedom. The work provides a detailed first-hand account of the Indian freedom struggle, the political dynamics of the partition, and the critical decisions made by key leaders during the transition to independence.

Explanation

Let x be the number of questions correctly answered. Since all 100 questions were attempted, the number of incorrectly answered questions is 100 - x.

Using the given marking scheme, the total marks obtained can be formulated as: 2x - 1(100 - x) = 80

Simplifying the equation: 3x - 100 = 80 3x = 180 x = 60

Explanation

On March 10, 2011, France became the first country to formally recognize the National Transitional Council, also referred to as the National Libyan Council, as the sole legitimate representative of the Libyan people. This diplomatic decision was announced by President Nicolas Sarkozy after meeting with representatives of the council in Paris, setting a precedent that prompted other nations to subsequently extend official recognition during the 2011 Libyan civil war.

Explanation

The British Constitution is unwritten, which means it is not codified in a single legal document. Instead, it relies heavily on constitutional conventions, which are unwritten rules of political practice and custom that are considered binding by those who operate the political system. These conventions govern critical aspects of the UK government, such as the relationship between the monarch and Parliament, the appointment of the Prime Minister, and the principle of collective cabinet responsibility. Because there is no formal supreme constitutional text, these established conventions play a fundamental and prominent role in ensuring the smooth functioning, adaptability, and stability of the British political system.

Explanation

The coding scheme represents each letter by its standard positional value in the English alphabet, written in a two-digit format.

For the word KOLKATA: K is the 11th letter, O is the 15th, L is the 12th, K is the 11th, A is the 01st, T is the 20th, and A is the 01st. Concatenating these values gives 11151211012001.

Applying the same logic to BENGAL: B is the 02nd letter, E is the 05th, N is the 14th, G is the 07th, A is the 01st, and L is the 12th. Concatenating these values gives 020514070112.

Explanation

Secularism represents the separation of religion from the state. Under a secular framework, the state remains neutral towards all religious beliefs and does not identify with or promote any religion. This separation ensures that governance, legislation, and public policies are formulated on the basis of rationality, constitutional values, and universal citizenship rather than being influenced or guided by any religious dogmas or considerations.

Explanation

Anushilan Samiti was established in Calcutta on 24 March 1902 by Barrister Pramatha Nath Mitra. It was one of the earliest and most influential secret revolutionary organizations in Bengal, aimed at promoting physical culture, moral development, and revolutionary ideas to end British colonial rule. Pramatha Nath Mitra served as its first president, organizing the youth of Bengal into a disciplined force dedicated to the nationalist cause.

Explanation

Let the six positions in the circular arrangement facing the centre be numbered 1 to 6 in a clockwise direction. For anyone facing the centre, the left direction corresponds to moving clockwise.

Placing Probhat at position 1, Alok must be immediately to his left at position 2.

Since Hari is between Alok and Ashok, Hari must be placed at position 3, which puts Ashok at position 4.

Sunil is between Ashok and Bikash, so Sunil is placed at position 5, and Bikash is placed at position 6.

Hari is at position 3. Moving to the left of Hari (clockwise direction) leads to position 4, which is occupied by Ashok.

Explanation

The Revolt of 1857, historically referred to as the Sepoy Mutiny, is widely recognized as the First War of Independence in Indian colonial history. This terminology was prominently popularized by the nationalist leader Vinayak Damodar Savarkar in his 1909 book, The Indian War of Independence. The rebellion began on 10 May 1857 as a mutiny of sepoys in the garrison town of Meerut and rapidly escalated into a massive, widespread uprising across northern and central India. It represented the first major, organized, and large-scale armed resistance against the British East India Company's rule, bringing together diverse sections of society, including soldiers, peasants, artisans, and feudal rulers, in a unified effort to overthrow foreign colonial domination.

Explanation

The sequence is defined by the recurrence relation aₙ = 2aₙ₋₁ + 2, where aₙ₋₁ is the preceding term and aₙ is the subsequent term.

Using this relation, the terms of the sequence are calculated as: a₂ = 2(4) + 2 = 10 a₃ = 2(10) + 2 = 22 a₄ = 2(22) + 2 = 46

Substituting the fourth term a₄ = 46 into the recurrence formula yields the fifth term: a₅ = 2(46) + 2 = 94

Explanation

Angela Merkel served as the Chancellor of Germany, taking office in November 2005 as the first female chancellor of the country. She led the Christian Democratic Union and remained the head of the German federal government throughout 2012, eventually stepping down from the position in December 2021.

Explanation

The Azad Hind Fauj, also known as the Indian National Army (INA), was first established in Singapore in 1942. It was founded by Captain Mohan Singh with the support of the Japanese army, utilizing Indian prisoners of war who had surrendered during the Malayan campaign and the Fall of Singapore. In 1943, the leadership of this army was handed over to Netaji Subhas Chandra Bose, who reorganized and revitalized the force to launch an armed struggle against British rule.

Explanation

Acceleration is defined as the rate of change of velocity with respect to time:

a = (dv)/(dt)

When an object moves with a constant speed along a straight horizontal path, both the magnitude of its velocity and its direction of motion remain constant. Since the velocity vector does not change over time, its derivative with respect to time is zero, meaning the acceleration of the object is zero.

Explanation

Female literacy plays a crucial role in demographic transition. A low female literacy rate is strongly associated with a high birth rate because literate women tend to marry later, have better awareness of family planning and reproductive health, and possess greater decision-making autonomy regarding childbearing. Demographic studies consistently show that as female education levels rise, fertility rates decline due to increased awareness and utilization of modern contraceptive methods, along with a shift in preferences toward smaller family sizes. Conversely, lower female literacy levels limit access to health information and socio-economic opportunities, leading to earlier marriages, higher desired family sizes, and elevated birth rates.

Explanation

The coding scheme utilizes the reverse alphabet method, where each letter is replaced by its opposite counterpart from the other end of the alphabet, such that the sum of their alphabetical positions is 27.

Applying this rule to decode YZXP: Y with numerical position 25 is replaced by B with position 2. Z with numerical position 26 is replaced by A with position 1. X with numerical position 24 is replaced by C with position 3. P with numerical position 16 is replaced by K with position 11.

This gives the decoded word BACK.

Explanation

The Indigo Revolt (1859–1860) was a major peasant uprising in Bengal against the forced cultivation of indigo by British planters. The weekly English newspaper Hindoo Patriot, under the courageous editorship of Harish Chandra Mukherjee, regularly highlighted the systemic exploitation, oppression, and misery faced by the indigo cultivators. Mukherjee's fearless journalism and active support for the farmers made the paper the primary platform for exposing the cruelty of the British planters, which ultimately forced the colonial government to appoint the Indigo Commission in 1860.

Explanation

The radian is the SI unit of plane angle. It is defined as the angle subtended at the center of a circle by an arc whose length is equal to the radius of the circle. Mathematically, it is expressed as the ratio of arc length to radius:

θ = ˢ⁄ᵣ

Since it is the ratio of two lengths, the radian is a dimensionless quantity and is used to measure angular displacement rather than physical linear distance or length.

Explanation

The Royal Indian Navy (RIN) mutiny, also known as the Bombay Mutiny, began on 18 February 1946. It started as a strike by ratings of the Royal Indian Navy on board the non-self-propelled training establishment HMIS Talwar in Bombay harbor. The mutiny quickly spread to other naval vessels and shore establishments, involving thousands of sailors across major ports like Karachi, Calcutta, and Madras, reflecting the widespread nationalistic sentiment and discontent against British colonial rule in India.

Explanation

The Hindu Law of inheritance dictates that ancestral property, including agricultural land, must be divided equally among all legal heirs. Over successive generations, this practice of partition leads to the continuous splitting of family landholdings into smaller and smaller parcels. Consequently, large, consolidated agricultural fields are reduced to tiny, scattered, and uneconomic plots, resulting in the widespread subdivision and fragmentation of land holdings across India.

Explanation

Bal Gangadhar Tilak coined and popularized the famous slogan Swaraj is my birthright and I shall have it in 1916 during the Home Rule Movement. As a prominent leader of the Indian independence movement, Tilak advocated for self-rule (Swaraj) and used this powerful declaration to mobilize the masses and instil national pride against British colonial rule. He was conferred with the honorary title of Lokmanya, meaning accepted by the people as their leader, for his immense contributions to the nationalist cause.

Explanation

Black surfaces have a high absorptivity for thermal radiation, meaning they absorb almost all wavelengths of electromagnetic radiation incident upon them with minimal reflection. A rough texture further enhances this absorption capacity because the microscopic irregularities, cavities, and depressions on a rough surface trap incident radiation. When heat falls on these irregularities, it undergoes multiple internal reflections, which dramatically increases the probability of the radiation being absorbed by the material rather than being reflected away. This combination makes a black rough surface an excellent absorber of heat.

Explanation

In September 2011, the provincial government of Sindh in Pakistan announced a policy to make the Chinese language (Mandarin) a compulsory subject for students from class six onwards, commencing from the year 2013. This initiative was designed to bolster bilateral relations and expand commercial and educational ties between Pakistan and China, preparing the younger generation for future employment opportunities associated with growing Chinese investments and joint economic projects.

Explanation

The fixed income group, which includes pensioners, salaried employees, and wage earners, is the worst affected by a continuous inflationary price rise because their nominal income remains constant while the cost of goods and services increases. As inflation erodes the purchasing power of money, the real value of their fixed incomes declines significantly. This directly reduces their standard of living, as they cannot adjust their earnings upward to keep pace with the rising prices of essential goods and services.

Explanation

The Khalimpur copper plate inscription, discovered in the Malda district of West Bengal, was issued during the 32nd regnal year of the Pala Emperor Dharmapala. It provides crucial historical details about the military exploits, conquests, and administration of Dharmapala, including his key role in the Tripartite Struggle and his successful establishment of supremacy over Northern India (Kannauj).

Explanation

Absolute zero is the lowest possible temperature on the thermodynamic temperature scale, corresponding to 0 Kelvin or -273.15 degrees Celsius. At this temperature, the thermal motion of all particles in a substance ceases entirely, meaning the kinetic energy of the molecules reaches its minimum value and they come to a complete rest.

Explanation

Khan Abdul Ghaffar Khan, also known as Frontier Gandhi, founded the Khuda-i-Khidmagar (Servants of God) movement in 1929 in the North-West Frontier Province. It was a non-violent movement against British colonial rule, deeply committed to national unity, social reform, and Hindu-Muslim harmony. The members of this movement were popularly known as the Red Shirts because of the red-dyed uniforms they wore. Under his leadership, the organization closely allied with the Indian National Congress and played a pivotal role in the Civil Disobedience Movement in the frontier region.

Explanation

In economics, capital (specifically physical capital) refers to human-made, durable assets that are used as inputs in the production of other goods and services. Unlike financial capital or money, which acts as a medium of exchange to purchase assets, physical capital consists of tangible assets such as machinery, tools, equipment, and buildings. These capital goods are not consumed immediately in the production process; instead, they are used repeatedly over time to increase the productivity of labor and facilitate the generation of economic wealth.

Explanation

Ban Ki-moon served as the eighth Secretary-General of the United Nations, holding the office from January 1, 2007, to December 31, 2016. As a diplomat from South Korea, he was unanimously re-elected by the United Nations General Assembly for his second five-year term in June 2011, which ran from January 2012 through December 2016.

Explanation

The refractive indices of glass and glycerol are nearly equal, with both having a value of approximately 1.47. When a clear piece of glass is immersed in glycerol, light travels from one medium to the other without experiencing any significant bending or reflection at the boundary. Because there is no change in the speed of light as it transitions between the two substances, the light path remains undeflected, making the glass invisible and unable to be seen separately within the liquid.

Explanation

The Krishak Praja Party was established by Abul Kasem Fazlul Huq, popularly known as Sher-e-Bangla, in Bengal in July 1936. The party emerged from a division within the Nikhil Banga Praja Samiti (founded in 1929), with Fazlul Huq leading a breakaway faction to launch this new organization focused on agrarian reform. The party aimed to mobilize peasant and tenant support by championing issues such as the abolition of the zamindari system, relief from rural indebtedness, and the reduction of rent, which helped him secure victory in the 1937 Bengal legislative elections and become the Premier of Bengal.

Explanation

The development of robust and adequate infrastructural facilities, such as reliable power supply, efficient transport networks including railways, highways, and ports, and modern communication systems, is the fundamental prerequisite for industrial growth. Adequate infrastructure directly reduces transactional and logistical costs, enhances operational efficiency, and integrates domestic markets with global supply chains. By mitigating key bottlenecks, a strong infrastructural foundation creates a conducive environment that naturally attracts large-scale investments and fosters sustainable, long-term industrial expansion across the country.

Explanation

Ziauddin Barani was a prominent historian and political thinker of the Delhi Sultanate during the fourteenth century. He authored the Tarikh-i-Firuz Shahi, which is an invaluable primary source for the history of medieval India. This historical text covers the period from the accession of Ghiyas ud din Balban in 1266 to the first six years of the reign of Firuz Shah Tughlaq, offering detailed accounts of the political events, administrative policies, and socio-economic conditions of the Sultanate, including the market reforms of Alauddin Khalji and the administrative experiments of Muhammad bin Tughlaq.

Explanation

Bharati is India's third permanent research station in Antarctica, commissioned on March 18, 2012. Located near the Larsemann Hills, it is operated by the National Centre for Polar and Ocean Research under the Ministry of Earth Sciences. The facility is designed for year-round scientific research, focusing primarily on oceanography, geological history, and the phenomenon of continental breakup. Prior to Bharati, India established Dakshin Gangotri in 1983 and Maitri in 1989.

Explanation

The Champaran Satyagraha of 1917 in Bihar was Mahatma Gandhi's first experience of a mass movement and Satyagraha in India. He was invited by a local peasant, Raj Kumar Shukla, to investigate the grievances of the indigo cultivators who were oppressed by European planters under the exploitative Tinkathia system. Through non-violent resistance and peaceful civil disobedience, Gandhi successfully compelled the British authorities to abolish the system and refund a portion of the illegally extracted money to the farmers. This landmark event established his leadership and the efficacy of Satyagraha in the Indian nationalist struggle.

Explanation

The New Economic Policy was launched in India in 1991 under the leadership of Prime Minister P. V. Narasimha Rao and Finance Minister Dr. Manmohan Singh to address a severe balance of payments crisis. This policy initiated the historic economic reforms of Liberalisation, Privatisation, and Globalisation, commonly known as the LPG reforms, which opened up the Indian economy to foreign trade and investment, reduced industrial licensing requirements, and deregulated various sectors to foster rapid economic growth.

Explanation

The density of an element depends on both its atomic mass and its atomic volume, which is determined by its atomic radius and crystal structure.

Silver (Ag) and gold (Au) belong to the same group in the periodic table (Group 11), with gold located in the period below silver. Typically, atomic radius increases down a group due to the addition of a new electron shell. However, the filling of the 4f subshell in the lanthanide series preceding gold results in a phenomenon known as lanthanide contraction.

Because of the poor shielding effect of the 4f electrons, the nucleus exerts a much stronger attractive force on the outer shell electrons. This contraction offsets the expected increase in atomic size, making the atomic radius and unit cell volume of gold (r ≈ 144 pm, lattice constant ≈ 4.08 Å) virtually identical to those of silver (r ≈ 144 pm, lattice constant ≈ 4.09 Å).

While their atomic volumes remain almost the same, the atomic mass of gold (197 u) is nearly double that of silver (108 u). Since density is mass per unit volume (ρ = m/V), this combination of nearly identical volume but nearly doubled mass results in gold having an extraordinarily high density (≈ 19.3 g/cm³) compared to silver (≈ 10.5 g/cm³).

Explanation

The Union Finance Minister Pranab Mukherjee laid the foundation stone for a new banknote paper mill on March 22, 2010, in Mysore, Karnataka.

This project was established in the premises of the Bharatiya Reserve Bank Note Mudran Private Limited as a joint venture named Bank Note Paper Mill India Private Limited, shared between the Reserve Bank of India note printing unit and the Security Printing and Minting Corporation of India Limited. The establishment of this mill was a major milestone toward the complete indigenization of the banknote paper manufacturing process in India, significantly reducing reliance on imported currency paper.

Explanation

Maulvi Liakat Hossain was a prominent nationalist leader of Bengal who actively opposed the Partition of Bengal in 1905. He played a vital role in mobilizing the Muslim community, urban youth, and workers in support of the Swadeshi movement. He advocated strongly for Hindu-Muslim unity, organized public meetings, published Urdu pamphlets to spread nationalist consciousness, and led the East Indian Railway strike in 1906. His relentless efforts made him one of the most celebrated Muslim voices championing the Swadeshi cause in Bengal.

Explanation

Around 2012, the average life expectancy at birth in India was approximately 66-67 years. Among the given options, 65 years is the closest and most appropriate figure, as 70 years was not yet reached at that time.

Explanation

The family consists of three generations with two married couples. In the first generation, X is the mother of V and the grandmother of U, while Z is the granddaughter of Y. This establishes Y and X as the first married couple, where Y is male and X is female. In the second generation, W is the wife of V and the mother of Z, which makes V and W the second married couple, where V is male and W is female. In the third generation, Z is a female member and U is another grandchild. While the genders of Y (male), X (female), V (male), W (female), and Z (female) are clearly established, the gender of U is not mentioned anywhere in the prompt. U could be either male or female, which means the total number of male members in the family is either two or three, and thus cannot be determined with certainty.

Explanation

By translating the age relationships into mathematical inequalities, we can determine the order of ages from oldest to youngest.

From the first statement, Sunita is elder than Radha, who is elder than Rita: Sunita > Radha > Rita

From the second statement, Rita is elder than Geeta: Rita > Geeta

From the third statement, Sham is younger than Radha but elder than Rita: Radha > Sham > Rita

Combining these inequalities yields the complete sequence: Sunita > Radha > Sham > Rita > Geeta

This sequence demonstrates that Geeta is at the end of the ordering.

Explanation

Subhas Chandra Bose was elected as the President of the Indian National Congress for his second term at the Tripuri session in 1939. In this landmark election, he contested against Pattabhi Sitaramayya, who was supported by Mahatma Gandhi. Bose won the democratic contest with 1580 votes to Sitaramayya's 1377 votes. Following the election, deep ideological differences arose regarding the future course of the national movement, leading to Bose's resignation from the presidency later that year.

Explanation

According to the Census of 2011, Haryana recorded the lowest sex ratio among all Indian states, with 879 females per 1000 males. This represents a significant gender imbalance compared to the national average of 943 females per 1000 males. Factors contributing to this skewed ratio in the state include strong cultural preferences for male offspring, widespread illegal use of prenatal diagnostic techniques, and selective female foeticide.

Explanation

The Shillong Declaration was adopted in March 2011 at the conclusion of the 3rd National Right to Information (RTI) Convention held in Shillong, Meghalaya. The declaration put forward a 12-point resolution aimed at strengthening the implementation and scope of the Right to Information Act, 2005. It called for expanding the jurisdiction of the RTI Act to cover public-private partnership (PPP) projects, political parties, and non-governmental organizations. Additionally, it advocated for proactive disclosure of information by government departments, social audits of all public expenditures, and robust measures to ensure the safety and protection of RTI activists.

Explanation

The Reserve Bank of India is the central bank of the country and is vested with the legislative mandate under the Reserve Bank of India Act, 1934, to formulate and implement the monetary policy of India. The primary objective of this monetary policy is to maintain price stability while keeping in mind the objective of economic growth. To achieve this, the bank regulates the money supply, credit availability, and interest rates in the economy using various quantitative and qualitative instruments, such as the cash reserve ratio, statutory liquidity ratio, repo rate, and open market operations.

Explanation

The Santhal Revolt, also known as the Santhal Hool, was a major tribal rebellion that broke out on June 30, 1855. Led by the four Murmu brothers—Sidhu, Kanhu, Chand, and Bhairav—the uprising was directed against the oppressive British colonial authority, corrupt zamindars, and exploitative moneylenders in the Damin-i-koh region of the Rajmahal Hills. The rebellion spread rapidly across present-day Jharkhand and parts of West Bengal before being brutally suppressed by the British military forces in early 1856.

Explanation

The earth is considered an infinite reservoir of electric charge at zero potential. A positively charged conductor has a deficiency of electrons, placing it at a higher electric potential relative to the earth. When the conductor is earthed, a potential difference is established. Since protons are bound securely within atomic nuclei and cannot move, the neutralization must occur through mobile charge carriers. Consequently, negatively charged electrons flow from the earth to the conductor to neutralize its positive charge.

Explanation

Raja Todar Mal served as the Finance Minister (Diwan-i-Ashraf) of the Mughal Empire during the reign of Emperor Akbar and was one of the esteemed Navaratnas (nine gems) in Akbar's court. He revolutionized the agricultural tax system by introducing the Dahsala system in 1580. This landmark revenue system involved meticulous land measurement, categorization of land based on productivity, and assessment of revenue based on the average price and produce of the preceding ten years. His reforms brought immense stability and efficiency to the financial administration of the Mughal Empire, establishing him as one of the most prominent revenue experts in Indian history.

Explanation

The National Rural Employment Guarantee Programme, later renamed the Mahatma Gandhi National Rural Employment Guarantee Programme, was launched in 2006 under a legislative act passed in 2005. It is a landmark rights-based social security and poverty alleviation scheme that guarantees at least 100 days of wage employment in a financial year to every rural household whose adult members volunteer to do unskilled manual work. By providing a legal guarantee of employment, creating durable community assets, and enhancing purchasing power in rural areas, the scheme has been highly effective in raising agricultural wages, ensuring livelihood security, and preventing distress migration among the rural population.

Explanation

The US military operation to capture or kill Osama bin Laden in Abbottabad, Pakistan, was officially designated as Operation Neptune Spear. During the raid on May 2, 2011, conducted by the elite US Navy SEALs (SEAL Team Six), the specific code name assigned to Osama bin Laden as the target was Geronimo. Upon successfully neutralizing the target, the ground commanders transmitted the secure code phrase "Geronimo EKIA" (Enemy Killed in Action) to confirm his death to President Barack Obama and the command center.

Explanation

Swami Dayananda Saraswati founded the Arya Samaj on April 7, 1875, in Bombay. It was established as a monotheistic Hindu reform movement that promoted the infallible authority of the Vedas. Swami Dayananda Saraswati advocated for the rejection of idol worship, animal sacrifice, ancestor worship, pilgrimages, and the caste system by birth, instead promoting the Vedic philosophy of one formless God. He also gave the famous slogan Go Back to the Vedas to revive Vedic knowledge and purity.

Explanation

Ibrahim Lodi was the last Sultan of the Delhi Sultanate, ruling from 1517 until 1526. He belonged to the Lodi dynasty, the final dynasty of the Delhi Sultanate. His reign came to an end at the First Battle of Panipat on 21 April 1526, where he was defeated and killed by the Mughal invader Babur. This historic battle marked the end of the Delhi Sultanate and established the Mughal Empire in India.

Explanation

Special Economic Zones in India were established under the Special Economic Zones Act, 2005, with the primary objective of promoting the export of goods and services. To achieve this, SEZs are designated as duty-free enclaves treated as foreign territory for trade operations, duties, and tariffs. They function as special tax-free growth hubs that offer a wide range of fiscal incentives, tax holidays, exemption from customs duties, simplified compliance procedures, and high-quality infrastructure to attract foreign and domestic investment, thereby boosting the country's export performance and overall economic growth.

Explanation

Microwaves are electromagnetic waves with frequencies ranging from 300 MHz to 300 GHz, corresponding to wavelengths from 1 mm to 1 m. They are highly suitable for telecommunications, including mobile networks, satellite communication, radar, and point-to-point wireless links, because their shorter wavelengths allow them to propagate in straight lines as narrow beams. This line-of-sight propagation enables highly directional antennas to transmit large amounts of data efficiently over long distances with minimal power loss and reduced interference.

Explanation

Sir Syed Ahmad Khan started the Aligarh Movement in the late 19th century to reform and modernize the Muslim community in British India. His primary focus was on promoting Western education, modern science, and English literature among Muslims while reconciling these subjects with Islamic teachings. To achieve these reformative and educational goals, he founded the Muhammadan Anglo-Oriental College at Aligarh in 1875, which eventually became the Aligarh Muslim University and served as the epicenter of this socio-cultural awakening.

Explanation

The Tin Bigha Corridor is a strip of land belonging to India located in the Cooch Behar district of West Bengal along the international border. It was leased to Bangladesh under a bilateral agreement to provide Bangladeshi citizens with access to the Dahagram–Angarpota enclaves from mainland Bangladesh.

Explanation

Nasiruddin Chirag-i-Dehli was a prominent fourteenth-century Sufi saint belonging to the Chishti Order. He was a distinguished disciple of Hazrat Nizamuddin Auliya and eventually succeeded him as the spiritual head of the Chishti silsila in Delhi. Popularly known as the Lamp of Delhi, he played a crucial role in maintaining the integrity and expansion of the Chishti mystic tradition during a period of political transition in the Delhi Sultanate.

Explanation

Article 280 of the Constitution of India provides for the establishment of a Finance Commission by the President of India every five years or at such earlier time as deemed necessary. The primary function of this constitutional body is to recommend the distribution of the net proceeds of taxes between the Union and the States, as well as the allocation of these shares among the States themselves, thereby ensuring a balanced distribution of financial resources within the federal structure.

Explanation

The Meerut Conspiracy Case was initiated in March 1929 by the British colonial government against several trade unionists and communist leaders. A total of 31 labor leaders, including prominent Indian communists like S.A. Dange, Muzaffar Ahmad, and Shaukat Usmani, along with three British communists, were arrested and charged with conspiring to deprive the British King of his sovereignty of India. The trial drew international attention and lasted for more than four years.

Explanation

To find the effective nuclear charge, which represents the net positive charge felt by the valence electron after accounting for shielding, we apply Slater's rules for fluorine (Z = 9).

The electronic configuration of fluorine grouped according to Slater's rules is: (1s)² (2s, 2p)⁷

For a valence electron in the outer n = 2 shell, the shielding constant S is calculated as follows: Each of the other 6 electrons in the same (2s, 2p) shell contributes 0.35 to the shielding. Each of the 2 electrons in the inner 1s shell (n - 1 shell) contributes 0.85 to the shielding.

Calculating the total shielding constant S: S = (6 × 0.35) + (2 × 0.85) = 2.10 + 1.70 = 3.80

The effective nuclear charge Z^* experienced by the valence electron is: Z^* = Z - S = 9 - 3.80 = 5.20

Explanation

Sardar Vallabhbhai Patel served as the first Deputy Prime Minister and Minister of Home Affairs of independent India, during which he spearheaded the monumental task of integrating over 560 princely states into the Indian Union. Famously known as the Iron Man of India, he used a combination of consensus, persuasion, and where necessary, force to secure the accession of these diverse territories, thereby preserving the geopolitical unity and integrity of the newly born nation. His remarkable leadership and administrative acumen earned him the title of the architect of modern unified India.

Explanation

The institution of Ombudsman originated in Sweden with the adoption of the Swedish Instrument of Government (Constitution) in 1809, which established the office of the Justitieombudsmannen (Parliamentary Ombudsman). This office was created to act as an independent officer of the legislature, tasked with supervising the observance of laws and statutes by courts and public administrators, thereby safeguarding the rights of citizens against administrative abuse. Sweden is universally recognized as the pioneer of this modern administrative grievance-redressal mechanism.

Explanation

Sovereignty represents the supreme, absolute, and independent power of a state. In political theory and constitutional law, the term implies that a nation possesses complete self-governing authority and is entirely free from any external control, pressure, or intervention by foreign powers. This status allows a state to independently formulate its own domestic policies, draft its own laws, and conduct its foreign relations and international affairs on its own terms.

Explanation

The International Monetary Fund (IMF) is the global organization responsible for overseeing the international monetary system, which includes monitoring the exchange rate policies of its member countries to ensure financial stability. It works to foster global monetary cooperation, secure financial stability, facilitate international trade, and reduce poverty around the world by keeping track of the system of exchange rates and international payments.

Explanation

The Battle of Khanwa was fought on March 16, 1527, between the invading Timurid forces of Babur and the Rajput confederacy led by Rana Sanga of Mewar. Rana Sanga, the powerful ruler of Mewar, consolidated a formidable coalition of Rajput chiefs and local rulers to challenge Babur's establishment of the Mughal dynasty in India following the First Battle of Panipat. The battle ended in a decisive victory for Babur, which secured Mughal rule in northern India and crippled the power of the Rajput confederacy.

Explanation

The League of Nations was founded on 10 January 1920 as a result of the Paris Peace Conference that ended the First World War. It was the first worldwide intergovernmental organisation whose principal mission was to maintain world peace. Following its inability to prevent the Second World War, it was formally dissolved in 1946, and its assets, mandate, and structure were transferred to the newly established United Nations.

Explanation

The Pir Panjal Range is the longest and most significant range of the Lesser Himalayas, which are also known as the Middle Himalayas. Extending across Jammu and Kashmir and Himachal Pradesh, this mountain range runs in a northwest to southeast direction with an average elevation ranging between 1,400 meters and 4,100 meters. It contains important mountain passes such as the Pir Panjal Pass and the Banihal Pass, the latter of which provides vital connectivity between Jammu and the Kashmir Valley.

Explanation

Sir Thomas Roe was an English diplomat who arrived at the court of the Mughal Emperor Jahangir in 1615 as the royal ambassador of King James I of England. His primary objective was to secure protection for the British East India Company's factory at Surat and to obtain permission to establish further trading posts in Mughal territories. He remained at the Mughal court until 1619, where he successfully negotiated a commercial treaty, laying the groundwork for British trade operations in India. His detailed journal provides a valuable historical account of the court life, administration, and character of Jahangir's empire.

Explanation

The seventh G-20 summit of heads of government was held in Los Cabos, Mexico, on June 18 and 19, 2012. This summit brought together the leaders of the world's major economies to discuss global financial stability, the Eurozone debt crisis, and strategies for sustainable economic growth.

Explanation

The Narmada River flows in a westward direction through a rift valley, which is geologically characterized as a fault trough. This tectonic feature was formed due to the subsidence of a land block between two parallel faults during the Himalayan mountain-building phase, bounded by the Vindhya Range to the north and the Satpura Range to the south. The pre-existing structural trough guides the path of the river, forcing it to drain westward into the Arabian Sea.

Explanation

The equivalent weight of a dibasic acid is calculated by dividing its molecular weight by its basicity, which is 2.

Equivalent weight = Molecular weight / Basicity = 200 / 2 = 100 g/eq

The relation between normality, weight of the solute, equivalent weight, and volume of the solution in milliliters is given by the formula:

Normality = (Weight / Equivalent weight) * (1000 / Volume in ml)

Substituting the given values into the formula:

0.1 = (Weight / 100) * (1000 / 100)

0.1 = (Weight / 100) * 10

0.1 = Weight / 10

Weight = 1 gm

Explanation

Sir Cyril Radcliffe, a British lawyer, was appointed as the Joint Chairman of the two Boundary Commissions established in June 1947 for Punjab and Bengal. His primary responsibility was to demarcate the geographical borders between India and the newly created nation of Pakistan. The partition line he drew, which came to be known as the Radcliffe Line, divided these provinces on the basis of religious demographics, separating Muslim-majority and non-Muslim-majority districts.

Explanation

Shah Jahan transferred the Mughal capital from Agra to Delhi in 1638. To mark this shift, he laid the foundation of a new walled city named Shahjahanabad, which is now known as Old Delhi. The construction of the magnificent Red Fort and the Jama Masjid was commissioned as part of this new imperial capital. The actual transition of the court and administrative machinery was completed by 1648, establishing Delhi as the primary seat of the Mughal Empire.

Explanation

Thermoplastic polymers are linear or slightly branched long-chain molecules that are capable of repeatedly softening on heating and hardening on cooling. These polymers possess intermolecular forces of attraction that are intermediate between those of elastomers and fibers. Polyvinyl chloride (PVC) is a classic example of a thermoplastic polymer. It can be easily softened by heating and molded into various shapes, which makes it highly suitable for manufacturing products like pipes, raincoats, toys, and electrical cable insulation.

Explanation

The Indus River, one of the longest rivers in Asia, originates in the Tibetan Plateau near Lake Mansarovar and Mount Kailash. It flows northwest through the Ladakh region of India before entering Pakistan and eventually draining into the Arabian Sea. The source region of the river lies at an elevation of over 5,000 meters, fed by glaciers like Bokhar Chu, situated in close proximity to Lake Mansarovar.

Explanation

The 17th SAARC Summit was held in Addu City, Maldives on November 10 and 11, 2011. The summit focused on the theme of Building Bridges, which aimed to enhance connectivity, economic integration, and cooperation among the South Asian member nations.

Explanation

The Biuret test is a chemical test used to detect the presence of peptide bonds in a sample. When proteins are treated with an alkaline solution of copper(II) sulfate, the copper(II) ions (Cu²⁺) form a coordination complex with the nitrogen atoms involved in the peptide bonds of the protein. This reaction causes a color change from blue to deep violet or purple. Because proteins are polypeptides containing numerous peptide bonds, they show a positive response to this test.

Explanation

The Ganga river, in conjunction with the Brahmaputra, forms the Ganges-Brahmaputra Delta, which is a classic example of an arcuate or triangular-shaped delta. As the river approaches the Bay of Bengal, its velocity decreases significantly, causing it to deposit the vast amounts of sediment and silt it has carried from the Himalayas. This continuous deposition over thousands of years has built up a massive, low-lying triangular landform that spreads out before discharging into the sea.

Explanation

Muhammad Shah was the Mughal Emperor who ruled from 1719 to 1748. During his reign, the Persian ruler Nadir Shah invaded India in 1738-39. The Mughal forces were decisively defeated by Nadir Shah's army at the Battle of Karnal in February 1739. Following this victory, Nadir Shah entered Delhi, plundered the imperial treasury, and carried away immense wealth, including the famous Peacock Throne and the Koh-i-Noor diamond. This invasion exposed the military weakness of the declining Mughal Empire.

Explanation

Clement Attlee was the Prime Minister of the United Kingdom from 1945 to 1951. As the leader of the Labour Party, his government oversaw the decolonization of several British colonies, including India. He introduced the Indian Independence Act in the British Parliament, which received royal assent on July 18, 1947, leading to the partition of British India and the birth of independent India on August 15, 1947.

Explanation

El Nino is characterized by the abnormal warming of sea surface temperatures in the central and eastern equatorial Pacific Ocean. This warming alters global atmospheric circulation cells, particularly the Walker Circulation. The shift in these circulation patterns weakens the trade winds and the monsoon trough over the Indian Ocean, suppressing the convection required for cloud formation and precipitation. Consequently, El Nino events are strongly correlated with weaker southwest monsoon winds and a significant reduction in seasonal rainfall over India, frequently leading to dry spells and drought conditions across the subcontinent.

Explanation

Xylem is a specialized complex vascular tissue found in plants, primarily responsible for the conduction of water and dissolved mineral nutrients from the roots upward to the leaves and other aerial parts. This transport is unidirectional and is driven mainly by transpirational pull and root pressure, utilizing conducting cells called tracheids and vessel elements to form a continuous pathway throughout the plant body.

Explanation

George Papandreou resigned as the Prime Minister of Greece in November 2011. His resignation followed intense political and economic pressure during the Greek government-debt crisis, particularly after his controversial proposal to hold a national referendum on the Eurozone bailout package. To resolve the political deadlock and facilitate the formation of a coalition government of national unity to secure vital international rescue loans, he formally stepped down from office.

Explanation

The Permanent Settlement of Bengal was introduced by Governor-General Lord Cornwallis in 1793. Under this system, the East India Company fixed the land revenue that zamindars were required to pay to the state in perpetuity. The zamindars were recognized as the owners of the land, provided they paid the stipulated revenue on time, failing which their lands would be auctioned. This reform was enacted through the Bengal Cornwallis Code of 1793.

Explanation

Laterite soils are formed under conditions of high temperature and heavy rainfall with alternating wet and dry periods. This intense tropical leaching process washes away silica and lime, leaving the soil rich in oxides of iron and aluminium. The presence of these iron oxides gives lateritic soils their characteristic red color and makes them highly ferruginous.

Explanation

Charles Darwin proposed the Theory of Natural Selection in his seminal 1859 book, On the Origin of Species. The theory states that organisms with traits better suited to their environment are more likely to survive, reproduce, and pass those favorable heritable traits on to the next generation, driving the evolutionary process.

Explanation

The Third Battle of Panipat took place on 14 January 1761 at Panipat between the Maratha Empire and the invading Afghan army of Ahmad Shah Durrani. Supported by the Rohillas and Shuja-ud-Daula, the Afghan forces decisively defeated the Marathas led by Sadashivrao Bhau. This battle significantly halted the expansion of the Maratha Empire and altered the course of Indian history by creating a power vacuum that ultimately facilitated the rise of British supremacy in the subcontinent.