WBCS Prelims 2019 Question Paper with Answers & Explanations

Explanation

The word beleaguered is an adjective derived from the verb beleaguer, which means to beset with difficulties, harass, or subject to constant trouble or pressure. In English vocabulary, when a person, group, or organization is described as beleaguered, it signifies that they are in a very difficult situation, under severe pressure, or plagued by numerous problems, making troubled the precise synonym.

Explanation

The word indefatigable is derived from the Latin root defatigare, which means to tire out, combined with the prefix in- meaning not. Consequently, the word refers to someone or something that shows sustained, untiring strength and energy, and is incapable of being fatigued. The word tireless is a direct synonym, describing a person who works or acts without stopping or showing any signs of exhaustion.

Explanation

The phrasal verb came across means to find or meet someone or something by chance. In the context of the sentence, it correctly describes the detective unexpectedly finding a useful clue.

Explanation

The word sanctity is derived from the Latin word sanctus, which means holy. It refers to the state or quality of being holy, sacred, or saintly. In the given sentence, replacing sanctity with holiness maintains the original meaning of the sentence, as both words describe the spiritual purity and sacred character of a place that brings peace and comfort.

Explanation

The sentence contains a specific past time reference, last night. In English grammar, when a definite time in the past is specified, the simple past tense must be used instead of the past perfect tense. The past perfect tense is used to describe an action that was completed before another past action or point in time. Since this sentence describes a single, finished action in the past with a specific time indicator, the simple past verb went is correct.

Explanation

In English grammar and standard usage, clocks and watches are described as being slow when they display a time that is behind the actual time. The adjective slow is specifically used to indicate that a timekeeping device is running behind or losing time.

Explanation

The conjunction as far as is used to denote the limit of distance, progress, or extent. In this context, it indicates that the person moved forward to the maximum distance or degree that was possible for him.

Explanation

The present perfect tense "have met" is used to indicate an action that occurred at an unspecified time in the past but has direct relevance to the present. The adverb "before" indicates an experience up to the present moment, which aligns with the present-tense main clause "I am sure". This combination correctly expresses a link between a past occurrence and the speaker's current state of certainty.

Explanation

The present perfect tense is used to describe a state or action that began in the past and continues up to the present moment. The verb know is a stative verb, which means it is not typically used in continuous tenses. When expressing an acquaintance that started in the past and still exists today, accompanied by a time prepositional phrase like for a long time, the present perfect tense have known is the grammatically correct choice.

Explanation

The verb discuss is a transitive verb, which means it directly takes an object to complete its meaning without requiring a preposition. Therefore, using the preposition about after discussed is grammatically incorrect and redundant. The correct structure requires the verb to be followed directly by its direct object, the matter.

Explanation

The sentence 'The script is being written' is in the passive voice of the present continuous tense, which follows the structure: Subject + is/am/are + being + past participle of the main verb. To convert this into the active voice, an appropriate active subject (such as the pronoun 'They') is introduced. The structure is then changed to the active present continuous format: Subject + is/am/are + present participle (verb-ing) + Object. Applying this pattern converts the sentence into 'They are writing the script'.

Explanation

The idiomatic expression see eye to eye is used to indicate that two or more people share the same opinion, perspective, or position on a matter, meaning they agree with one another completely. It often appears in both affirmative and negative contexts to describe the presence or absence of mutual agreement.

Explanation

Ornithology is the branch of zoology that deals with the scientific study of birds. This field of study encompasses the observation and analysis of bird physiology, anatomy, behavior, ecological roles, migration patterns, and conservation. The term originates from the ancient Greek words ornis, meaning bird, and logos, meaning knowledge or study.

Explanation

The idiomatic phrase to make the most of means to use something to the best possible advantage or to get the maximum value or benefit from a resource or situation. In this sentence, the preposition of correctly completes this standard English idiom.

Explanation

The word necrophilia is etymologically derived from the Greek words nekros, meaning corpse or dead body, and philia, meaning love, fondness, or attraction. In psychiatric and general vocabulary, it refers to an obsession, pathological fascination, or attraction toward dead bodies.

Explanation

The declarative sentence specifies a location, which is at the train station. To form a corresponding interrogative sentence that seeks this specific piece of information, the interrogative pronoun of place, where, must be used. Reversing the subject and the auxiliary verb creates the correct question structure, transforming I will meet you into Where will you meet me?.

Explanation

A simple sentence contains exactly one independent clause with a single finite verb. In the sentence "She saved money for vacation", there is only one finite verb, which is "saved", and the rest of the sentence functions as a single independent clause. The purpose of saving money is concisely expressed using the prepositional phrase "for vacation" without the need for additional clauses or conjunctions.

Explanation

A simple sentence contains only one independent clause consisting of a single subject and a predicate, without any coordinating or subordinating conjunctions connecting multiple clauses. The sentence "Pancakes are delicious only with syrup" contains a single subject, Pancakes, and a single finite verb, are, followed by a prepositional phrase. It simplifies the structure of the original sentence by replacing the coordinating conjunction but and the double negative not without with the singular modifier only, thereby perfectly retaining the original meaning within a single independent clause.

Explanation

The prefix im- is a standard variation of the negative prefix in- (meaning not or the opposite of). In English word formation, the prefix in- assimilates and becomes im- when it precedes root words beginning with the consonants b, m, or p. Therefore, adding the prefix im- to the word balance yields imbalance, which signifies a lack of balance, proportion, or equilibrium.

Explanation

A collective noun like jury takes a plural verb when the members of the group are acting as individuals or are divided in their actions or opinions. In this sentence, the phrase divided in their opinion indicates that the individual members of the jury are in disagreement with one another, and the use of the plural possessive pronoun their further confirms this plural sense. Therefore, the plural past tense verb were is used to agree with the subject.

Explanation

The adverb sometime is used to refer to an indefinite or unspecified point in time, typically in the future or the past. In this context, it correctly indicates that the meeting will take place at some unspecific moment during next week.

Explanation

The correlative conjunction no sooner... than is used to indicate that one action takes place immediately after another. When a sentence begins with no sooner, grammatical inversion is used, meaning the auxiliary verb must precede the subject. In this sentence, the verb risen is a past participle (V3). To form a grammatically correct past perfect tense structure with a past participle in this inverted construction, the auxiliary verb had is required.

Explanation

The idiom "a load of cobblers" is a British slang term used to describe something that is complete nonsense, rubbish, or untrue. It originates from Cockney rhyming slang, where "cobblers' awls" rhymes with "balls," a slang word used to dismiss a statement or claim as absurd. In the context of the sentence, claiming to have invented a time machine is dismissed as being entirely nonsense.

Explanation

The word latter is used as an adjective to describe the second half, closing period, or end portion of a specific duration, event, or division of time. Therefore, when referring to the final segment of a performance, the phrase the latter part of the show is grammatically precise and idiomatic.

Explanation

The verb prefer standardly collocates with the preposition to when expressing a choice or preference of one noun or noun phrase over another. In this sentence, the speaker is comparing classical music and popular numbers, making to the grammatically correct preposition to complete the construction prefer A to B.

Explanation

The East Kolkata Wetlands were designated as a Ramsar Site on August 19, 2002 under the Ramsar Convention due to their international ecological significance. Covering an area of about 12,500 hectares, this vast network of salt marshes, sewage farms, and settling ponds acts as a natural sewage treatment system for the city of Kolkata, while supporting a highly productive aquaculture and agricultural ecosystem.

Explanation

Bhur is a distinctive physiographic feature of the Upper Ganga Plain, especially prominent along the banks of the Ganga-Yamuna Doab. It consists of elevated, undulating landforms formed by the accumulation of wind-blown (aeolian) sand during the hot, dry months of the year when strong winds deposit loose sands transported from nearby river channels.

Explanation

The West Bengal Land Reforms Act, 1955 (West Bengal Act X of 1956) was passed by the State Legislature in late 1955 and subsequently received the assent of the President of India on March 24, 1956. It was published in the Calcutta Gazette Extraordinary and officially came into force on March 30, 1956. The primary objectives of this legislation were to reform the land tenure system, establish land ownership ceilings for the equitable redistribution of agricultural land to marginalized and landless peasants, and provide robust statutory protection to bargadars (sharecroppers) against exploitation.

Explanation

The Central Inland Water Transport Corporation (CIWTC) was established as a public sector undertaking under the Government of India in 1967. Functioning under the administrative control of the Ministry of Ports, Shipping and Waterways, its corporate headquarters and registered office were situated in Kolkata, West Bengal. The corporation was primarily responsible for cargo transportation through inland waterways in India and along the bilateral routes between India and Bangladesh.

Explanation

The Kolkata Metro is the oldest and first underground rapid transit system in India, starting its commercial operations on 24 October 1984. The inaugural run operated on a 3.4-kilometer stretch connecting Esplanade to Bhowanipur (now known as Netaji Bhavan) to ease the public transit and traffic demands of Kolkata.

Explanation

The Damodar Valley, stretching across Jharkhand and West Bengal, contains the most important Gondwana coal reserves of India. This region is home to major coalfields like Raniganj, Jharia, Bokaro, Giridih, and Karanpura. The Damuda series of the Lower Gondwana geological system in this valley hosts approximately 80% of the country's coal reserves, particularly high-grade bituminous and metallurgical coking coal. Jharia, located in this basin, is the largest coalfield in India, followed closely by Raniganj.

Explanation

Telangana was carved out of Andhra Pradesh under the Andhra Pradesh Reorganisation Act, 2014, becoming the 29th state of India on 2nd June 2014, with Hyderabad serving as the shared capital for both states for a transitional period of up to ten years. K. Chandrashekar Rao became its first Chief Minister. The appointed day, when the new state formally came into existence, was 2 June 2014.

Explanation

Dhanehkali, also known as Dhaniakhali, is located in the Hooghly district of West Bengal and is internationally renowned for its traditional handloom weaving industry, specifically the production of Dhaniakhali Tant cotton sarees. These sarees are famous for their unique tight weave, distinct bold borders, and everyday comfort. The Dhaniakhali Saree has also been granted the Geographical Indication tag, highlighting its immense cultural and economic importance to the region's Tant industry.

Explanation

The foothills of the Eastern Himalayas in North Bengal are divided by the Teesta River into two distinct physiographic zones. The low-lying plain situated to the west of the Teesta River is known as the Terai. This region is characterized by a marshy tract of land, rich alluvial soil, dense forests, and high biodiversity. It extends westward from the river bank towards the Darjeeling hills and the border of Nepal.

Explanation

The Sundarbans National Park, situated in the coastal deltaic region of West Bengal, was inscribed as a UNESCO World Heritage Site in 1987. The site received this recognition primarily because it represents the largest contiguous area of mangrove forests in the world. Formed by the delta of the Ganga, Brahmaputra, and Meghna rivers, this unique coastal ecosystem features a complex network of tidal waterways, mudflats, and salt-tolerant halophytes. This extensive mangrove vegetation serves as a crucial natural barrier against coastal erosion and cyclones while maintaining a highly productive estuarine environment.

Explanation

Jalpaiguri town is situated on the banks of the Teesta (Tista) River and the Karala River. The Teesta River is one of the major rivers of North Bengal, flowing along the eastern edge of the town. The Karala River, a tributary of the Teesta, flows directly through the center of Jalpaiguri, bisecting the urban area. Because it divides the town in a manner reminiscent of London, the Karala River is often referred to as the Thames of Jalpaiguri.

Explanation

The Rammam Hydroelectric Project is situated on the Rammam River, a tributary of the Rangeet River, in the Darjeeling district of West Bengal. The Rammam Stage-II power station is a prominent run-of-the-river scheme with an installed capacity of 51 MW, managed by the West Bengal State Electricity Distribution Company Limited. The project utilizes the water resources of the Rammam and Lodhama torrents to generate electricity for the region.

Explanation

Dachigam National Park, located in Jammu and Kashmir, is globally renowned for conserving the critically endangered Hangul, also known as the Kashmir stag. It is not home to Asiatic lions, which are found exclusively in the Gir National Park and Wildlife Sanctuary in Gujarat.

Explanation

The first railway line in West Bengal (and Eastern India) commenced operations on 15 August 1854 between Howrah and Hooghly. The train was operated by the East Indian Railway (EIR) and covered a distance of approximately 24 miles (39 km). This historic journey was completed in 91 minutes, with regular services stopping at intermediate stations including Bally, Serampore, and Chandernagore.

Explanation

The Tropic of Cancer is located at approximately 23.5 degrees north of the equator. Odisha lies entirely to the south of this latitude, with its northernmost geographical boundary extending only up to around 22.5 degrees north latitude. Therefore, the Tropic of Cancer does not pass through Odisha.

Explanation

Shola forests are the local name given to the patches of stunted tropical montane wet temperate forests found in the valleys amid rolling grasslands in the higher altitude regions of the southern Western Ghats. These unique forest-grassland ecosystems generally occur at elevations above 1500 meters, particularly in the Nilgiri, Anaimalai, and Palani hills of Kerala, Tamil Nadu, and Karnataka.

Explanation

Kolleru Lake is one of the largest freshwater lakes in India, located in the state of Andhra Pradesh. It is positioned between the deltaic basins of the Krishna and Godavari rivers. The lake serves as a natural flood-balancing reservoir, receiving water from several seasonal streams like Budameru and Tammileru, and is ecologically significant as a designated wetland of international importance under the Ramsar Convention.

Explanation

The demographic dividend is the economic growth potential that results from shifts in a population's age structure, specifically when the share of the working-age population is larger than the non-working-age dependent population. According to the United Nations Population Fund (UNFPA), this working-age cohort is generally defined as the population aged 15 to 64 years. When fertility and mortality rates decline, the proportion of productive, working-age individuals increases, which boosts savings, enhances labor supply, increases consumption, and drives rapid economic growth.

Explanation

At the time of India's independence on August 15, 1947, Cooch Behar was a princely state ruled by the Koch dynasty and was not a part of West Bengal. The ruler of Cooch Behar signed the Instrument of Accession to India on August 20, 1949, and the territory was formally transferred to the Dominion of India on September 12, 1949. It was eventually merged with the state of West Bengal to become a district on January 1, 1950.

Explanation

According to the 2011 Census of India, the total literacy rate of West Bengal is 77.08%. The male literacy rate in the state is 82.67% and the female literacy rate is 71.16%, both of which are higher than the corresponding national averages.

Explanation

West Bengal shares its longest interstate boundary with the state of Jharkhand, which spans approximately 500 kilometers along its western border.

Explanation

Lakshadweep is a union territory of India consisting of a group of islands in the Arabian Sea. These islands are classified as coral islands or atolls, which were formed over millions of years by the accumulation of skeletons of tiny marine organisms called coral polyps on top of submerged volcanic ridges.

Explanation

According to the Champion and Seth classification of forest types of India and the biennial assessments by the Forest Survey of India, Tropical Dry Deciduous Forests cover the largest area of forest cover in the country. They occupy more than thirty-four percent of the total forest area of India. These forests are widely distributed across the northern and southern parts of the country, especially in the interior regions of the Deccan Peninsula, the plains of Uttar Pradesh, Bihar, and parts of Central India. They thrive in regions receiving an annual rainfall ranging between 70 cm and 100 cm. In these drier climates, the trees shed their leaves completely for several weeks during the dry summer season to prevent moisture loss through transpiration. Major tree species of this forest type include Teak, Sal, Neem, Peepal, and Bamboo.

Explanation

Lake Manasarovar is located in the Tibet Autonomous Region of China, situated at an elevation of about 4,590 meters above mean sea level. It lies at the foot of Mount Kailash within the Kailas Range, which is a major mountain chain of the Trans-Himalayas. This freshwater lake is fed by the glaciers of the Kailas Range and holds profound spiritual and religious significance in Hinduism, Buddhism, Jainism, and Bon.

Explanation

Shillong, the capital and largest city of Meghalaya, is situated in the Khasi Hills, specifically within the East Khasi Hills district. The city lies in the center of the Shillong Plateau, which is an eastern extension of the Indian Peninsular block and is characterized by undulating hilly terrain with an average elevation of about 1525 meters above sea level.

Explanation

Jawaharlal Nehru delivered these iconic words during his famous Tryst with Destiny speech. He addressed the Constituent Assembly of India in the Parliament on the eve of India's independence, near the midnight of 14 August 1947, marking the end of British colonial rule and the birth of India as an independent nation.

Explanation

Lord Dufferin, who served as the Viceroy of India from 1884 to 1888, famously dismissed the Indian National Congress by describing it as representing only a microscopic minority of the Indian population. He maintained this contention during his post-prandial speech at the St. Andrews Day dinner in Calcutta in 1888, asserting that the educated elite who composed the Congress did not represent the vast masses of India.

Explanation

Choudhury Rahmat Ali, a Punjabi Muslim nationalist and student at the University of Cambridge, conceived and formulated the name Pakistan. In January 1933, he published a historic pamphlet titled Now or Never; Are We to Live or Perish Forever?, in which he proposed the creation of a separate sovereign state. He coined the name Pakistan as an acronym representing the northern regions of the Indian subcontinent: P for Punjab, A for Afghan Province (North-West Frontier Province), K for Kashmir, S for Sindh, and Tan for Baluchistan. This conceptualization laid the foundational geographical identity for the separate nation movement.

Explanation

The British government dispatched the Cripps Mission, headed by Sir Stafford Cripps, to India in March 1942 to secure Indian cooperation in World War II. The mission offered Dominion Status and the creation of a constituent assembly to draft a new constitution, but these promises were deferred until after the conclusion of the war, with no immediate transfer of power. Mahatma Gandhi rejected these conditional and future-oriented proposals, famously describing the offer as a post-dated cheque on a crashing bank.

Explanation

The Jallianwala Bagh massacre, also known as the Amritsar massacre, took place on 13 April 1919 in Amritsar, Punjab. A large, peaceful crowd had gathered at the Jallianwala Bagh ground to celebrate the festival of Baisakhi and to protest the arrest of two nationalist leaders, Saifuddin Kitchlew and Satyapal, under the repressive Rowlatt Act. Brigadier-General Reginald Dyer ordered British troops to block the only entrance of the ground and open fire on the unarmed gathering without any warning, leading to hundreds of casualties and shaping the course of the Indian national movement.

Explanation

Lord Hardinge II, who served as the Viceroy of India from 1910 to 1916, annulled the Partition of Bengal in 1911. This decision was formally announced by King George V during the Delhi Durbar on December 12, 1911. The annulment was designed to pacify the intense nationalist opposition and revolutionary activities that had escalated following the partition. Along with the annulment, the British administration also announced the transfer of the capital of British India from Calcutta to Delhi.

Explanation

The Carnatic Wars were a series of military conflicts fought in the middle of the 18th century in the coastal Carnatic region of India. These wars were primarily a result of the commercial and political rivalry between the English East India Company and the French East India Company for dominance over the Indian subcontinent. Fought in three distinct phases between 1746 and 1763, these conflicts ended with the Treaty of Paris, which severely curtailed French power and established the English East India Company as the supreme European force in India.

Explanation

The Non-Cooperation Movement, initiated in September 1920, represents the first truly national mass movement launched by Mahatma Gandhi in India. Prior to this, Gandhi had led regional struggles such as the Champaran Satyagraha, the Ahmedabad Mill Strike, and the Kheda Satyagraha, which were localized to specific areas and grievances. The Non-Cooperation Movement succeeded in uniting different sections of society, including peasants, workers, students, and the middle class, across various regions of India to challenge British colonial authority on a country-wide scale.

Explanation

Surya Sen, popularly known as Masterda, was a prominent revolutionary leader who planned and executed the Chittagong Armoury Raid on 18 April 1930 in undivided Bengal. As a school teacher by profession, he successfully mobilized a dedicated group of young nationalists under the banner of the Indian Republican Army, Chittagong Branch. The raid aimed to seize weapons from the British armouries, cut off communication networks like telegraphs and telephones, and disrupt rail lines to completely isolate Chittagong from British colonial authorities. This heroic act of armed resistance remains one of the most significant events in the history of the Indian national movement.

Explanation

Nana Sahib led the sepoys and the rebellion at Kanpur during the 1857 uprising. As the adopted son of Peshwa Baji Rao II, he was denied his pension by the British under the Doctrine of Lapse. This grievance led him to lead the revolt in Kanpur, where he proclaimed himself Peshwa, declared allegiance to Bahadur Shah Zafar, and successfully expelled the British garrison from the city.

Explanation

The Asiatic Society of Bengal was founded by the philologist and Sanskrit scholar Sir William Jones on January 15, 1784. Sir William Jones, who served as a judge of the Supreme Court of Judicature at Fort William in Calcutta, established the society to encourage and systematically lead oriental research in the Indian subcontinent. The institution played a monumental role in translating ancient Indian manuscripts, promoting the study of Sanskrit and other Asian languages, and pioneering modern research into the history, archaeology, and literature of India.

Explanation

Sir Cyril Radcliffe was appointed as the Chairman of the Boundary Commissions in June 1947 to demarcate the borders between the newly independent nations of India and Pakistan. The commission was tasked with partitioning the provinces of Punjab and Bengal based on religious demographics and other factors. The resulting demarcation line, published on 17 August 1947, is known as the Radcliffe Line.

Explanation

The Swaraj Party, established as the Congress-Khilafat Swarajya Party in January 1923, was formed by Chittaranjan Das and Motilal Nehru. Following the suspension of the Non-Cooperation Movement in 1922 and the subsequent disagreement at the Gaya session of the Indian National Congress regarding council entry, these leaders advocated for entering the legislative councils to wreck the reforms from within. Chittaranjan Das served as the president of the newly formed party, while Motilal Nehru was one of its primary secretaries. Their leadership spearheaded the pro-changer group within the Congress, leading to significant legislative opposition against British policies during the mid-1920s.

Explanation

Annie Besant was elected as the President of the Indian National Congress during its Calcutta session held in December 1917, making her the first woman to preside over the organization. A prominent British socialist, theosophist, and women's rights activist, she played a key role in the Indian nationalist movement and founded the Home Rule League in 1916 to advocate for self-government. Her presidency marked a significant milestone in the participation of women in India's struggle for independence.

Explanation

Allan Octavian Hume, a retired British civil servant of the Imperial Civil Service, founded the Indian National Congress in December 1885. He played a key role in organizing the first meeting of the Congress, which was held at Gokuldas Tejpal Sanskrit College in Bombay and attended by seventy-two delegates from across India. Hume served as the first General Secretary of the organization.

Explanation

The Battle of Buxar was fought on 22 October 1764 between the forces of the British East India Company, led by Hector Munro, and the combined army of Mir Qasim (the Nawab of Bengal), Shuja-ud-Daula (the Nawab of Awadh), and the Mughal Emperor Shah Alam II. The victory of the British East India Company in this battle established their administrative and revenue-collecting rights over the provinces of Bengal, Bihar, and Odisha, which was formalized through the Treaty of Allahabad in 1765.

Explanation

Mughal Emperor Jahangir granted permission to the English East India Company to establish their first permanent factory at Surat. Captain William Hawkins visited the court of Jahangir in 1608 to secure trade concessions. Although initially resisted due to Portuguese influence, Jahangir issued a royal farman in 1613 that formally permitted the English to establish their factory at Surat. This diplomatic and commercial relationship was further strengthened when Sir Thomas Roe visited Jahangir's court in 1615 as an ambassador of King James I, obtaining extensive trading privileges for the English throughout the Mughal Empire.

Explanation

Vasco da Gama, the Portuguese explorer, reached the port of Calicut on the southwestern coast of India on May 20, 1498 A.D. His historic voyage established the first direct maritime route from Europe to Asia, sailing around the Cape of Good Hope at the southern tip of Africa. Upon his arrival, he was received by the local ruler of Calicut, the Zamorin, opening up trade routes that would significantly alter global commerce and pave the way for European colonial presence in Asia.

Explanation

The Mughal Emperor Akbar built the Ibadat Khana, also known as the House of Worship, at Fatehpur Sikri in 1575 AD. Akbar constructed this assembly hall to bring together spiritual leaders, theologians, and scholars from various religious backgrounds, including Hinduism, Islam, Christianity, Zoroastrianism, and Jainism. The theological debates and discussions held here allowed Akbar to study different faiths, which greatly influenced his progressive religious outlook and ultimately led to the formulation of his syncretic philosophy, Din-i-Ilahi.

Explanation

Malik Kafur was a prominent military commander and general of the Delhi Sultanate ruler Alauddin Khilji. Originally acquired as a slave during Alauddin's invasion of Gujarat in 1299, Kafur rose rapidly in the Sultan's favor due to his military capability and was appointed as the commander of the imperial army. He is best known for leading a series of highly successful military expeditions into southern India between 1309 and 1311, where he defeated major dynasties including the Yadavas of Devagiri, the Kakatiyas of Warangal, the Hoysalas of Dwarasamudra, and the Pandyas of Madurai, bringing vast wealth and prestige to the Khilji empire.

Explanation

Gautama Buddha attained supreme enlightenment (Nirvana) at Bodh Gaya in Bihar. At the age of 35, Siddhartha Gautama sat in deep meditation under a sacred pipal tree, which later came to be known as the Bodhi tree, situated on the banks of the Niranjana River. After intense spiritual struggle and meditation, he realized the ultimate truth, transcended worldly suffering, and became the Buddha, the Awakened One.

Explanation

Mrichhakatikam, which translates to The Little Clay Cart, is a famous ten-act Sanskrit drama written by King Shudraka in the 3rd century AD. Set in the ancient city of Ujjayini, the play revolves around the love story of a noble but impoverished Brahmin merchant named Charudatta and a wealthy, virtuous courtesan named Vasantasena. It is highly celebrated for its realistic portrayal of urban society, incorporating elements of romance, political intrigue, comedy, and social justice.

Explanation

Chandragupta II, also known as Vikramaditya, succeeded his father Samudragupta to the Gupta throne. He ruled from around 375 CE to 415 CE, during which the Gupta Empire reached its zenith in terms of territorial expansion, art, and literature. Historical records and royal genealogies of the Gupta dynasty identify him as the prominent successor of Samudragupta.

Explanation

James Prinsep, an officer in the mint of the East India Company and a founding editor of the Journal of the Asiatic Society of Bengal, deciphered the Brahmi and Kharosthi scripts in 1837. These ancient scripts were used in the earliest Indian inscriptions and coins, most notably the rock and pillar edicts of Emperor Ashoka. Prinsep's decipherment of Brahmi allowed scholars to read these inscriptions, which identified the king Devanampiya Piyadasi as Emperor Ashoka, thereby providing a secure chronological framework and transforming the understanding of early Indian history.

Explanation

Mehrgarh, located on the Kachi Plain of Balochistan in present-day Pakistan, represents one of the earliest Neolithic sites in the Indian subcontinent with evidence of farming and herding dating back to approximately 7000 BCE. Archaeological excavations at the site revealed early agricultural activities, including the cultivation of wheat and barley, as well as the domestication of animals such as sheep, goats, and cattle.

Explanation

The relationship between the words poverty and prosperity is that of antonyms, where each word represents the direct opposite state of the other. Poverty refers to the state of being extremely poor, whereas prosperity is the state of flourishing, thriving, or being financially successful. In the same manner, intelligence and stupidity share an antonymous relationship, as they represent diametrically opposite states of mental capacity and understanding.

Explanation

The letters of the word BREAKTHROUGH are divided into pairs of consecutive letters: 1: BR, 2: EA, 3: KT, 4: HR, 5: OU, 6: GH. These pairs are rearranged in the sequence 2, 5, 4, 1, 6, 3 to form the coded word EAOUHRBRGHKT.

Following the same pattern for the word DISTRIBUTION, the letters are divided into consecutive pairs: 1: DI, 2: ST, 3: RI, 4: BU, 5: TI, 6: ON. Rearranging these pairs in the sequence 2, 5, 4, 1, 6, 3 yields STTIBUDIONRI.

Explanation

A camera requires a lens to focus incoming light and project a clear image onto a light-sensitive surface, such as a digital sensor or film. Without a lens to bend and focus light rays, it is impossible to form a sharp image, making the lens the fundamental and indispensable component of any camera.

Explanation

A river is defined as a natural flowing body of water that moves along a channel. The lateral boundaries that confine and direct this flow of water on either side are known as banks. For a river to exist as a distinct, channeled watercourse rather than a dispersed sheet of water, it must have these physical boundaries. Consequently, banks are an indispensable and permanent geographical feature of every river throughout its entire course.

Explanation

To find the number of boxes, let the total number of boxes be represented by N.

Since packing the boxes in groups of 3, 4, 5, or 6 leaves a remainder of 1, N must be of the form: N = LCM(3, 4, 5, 6) × k + 1

Calculating the least common multiple: LCM(3, 4, 5, 6) = 60

This gives the general equation: N = 60k + 1

We are also given that when the boxes are packed in groups of 7, no boxes are left over. This means N must be perfectly divisible by 7: 60k + 1 ≡ 0 (mod 7)

To simplify, we express 60 in terms of modulo 7: 60 = 7 × 8 + 4 ⟹ 60 ≡ 4 (mod 7)

Substituting this back into the congruence relation: 4k + 1 ≡ 0 (mod 7)

Testing positive integer values for k: For k = 1: 4(1) + 1 = 5 (not divisible by 7) For k = 2: 4(2) + 1 = 9 (not divisible by 7) For k = 3: 4(3) + 1 = 13 (not divisible by 7) For k = 4: 4(4) + 1 = 17 (not divisible by 7) For k = 5: 4(5) + 1 = 21 (divisible by 7)

Substituting k = 5 back into our equation for N: N = 60(5) + 1 = 301

Explanation

In biological classification, taxonomic ranking proceeds from the most general (broadest, most inclusive category) to the most particular (smallest, most exclusive category).

Animal representing Kingdom Animalia is the broadest, most inclusive category among the choices.

Vertebrate representing Subphylum Vertebrata is the next tier, consisting of animals with backbones.

Mammal representing Class Mammalia is nested within vertebrates, representing warm-blooded creatures with hair and mammary glands.

Feline representing Family Felidae is a specific family of carnivorous mammals.

Leopard representing Panthera pardus is a broader wild category of feline than the common domestic cat.

Cat representing Felis catus is the most specific, domesticated species in this context.

This establishes the sequence: (i) Animal, (v) Vertebrate, (iv) Mammal, (ii) Feline, (iii) Leopard, and (vi) Cat.

Explanation

A logical, chronological sequence begins when an individual experiences an illness (ii). This illness leads them to visit a doctor (iii), with whom they have a consultation (i) regarding their health issue. Based on this consultation, the doctor prescribes a treatment (iv), which eventually leads to the recovery (v) of the patient.

Explanation

Interchanging the numbers 3 and 5 in the given equation:

8 × 20 ÷ 3 + 9 - 5 = 38

Substituting 5 for 3 and 3 for 5, the expression on the left-hand side becomes:

8 × 20 ÷ 5 + 9 - 3

Applying the BODMAS rule, the operations are performed in the order of Division, Multiplication, Addition, and Subtraction:

First, perform the division: 20 ÷ 5 = 4

Next, perform the multiplication: 8 × 4 = 32

Now, substitute these back into the expression: 32 + 9 - 3

Perform the addition: 41 - 3

Finally, perform the subtraction: 38

Since the left-hand side equals the right-hand side, this interchange satisfies the equation.

Explanation

By the transitive property of inequality, the given expressions A > B, B > C, and C > D can be combined into a single continuous inequality chain of A > B > C > D. This chain shows that A is strictly greater than all other variables in the sequence, meaning A > D must be true. Consequently, the statement D > A directly contradicts this established relationship and is definitely wrong.

Explanation

Applying the given symbol substitution rules, we replace the symbols in the expression with standard mathematical operators. The symbol > is replaced by +, the division symbol (represented by the space between 81 and 9) is replaced by ÷, and < is replaced by -.

This transforms the expression into: 27 + 81 ÷ 9 - 6

Following the BODMAS rule, the division is performed first: 81 ÷ 9 = 9

The expression becomes: 27 + 9 - 6

Next, performing addition: 27 + 9 = 36

Finally, performing subtraction: 36 - 6 = 30

Explanation

The given sequence is: 9 3 6 6 3 9 5 9 3 7 8 9 1 6 3 9 6 3 9

We need to identify the occurrences of 3 that are neither preceded by 6 nor immediately followed by 9. Let us examine each of the five occurrences of 3 in the sequence:

In the subsequence 9 3 6, the digit 3 is preceded by 9 (not 6) and followed by 6 (not 9). This satisfies the given conditions.

In the subsequence 6 3 9 (first occurrence), the digit 3 is preceded by 6 and followed by 9. This does not satisfy the conditions.

In the subsequence 9 3 7, the digit 3 is preceded by 9 (not 6) and followed by 7 (not 9). This satisfies the given conditions.

In the subsequence 1 6 3 9, the digit 3 is preceded by 6 and followed by 9. This does not satisfy the conditions.

In the subsequence 6 3 9 (second occurrence), the digit 3 is preceded by 6 and followed by 9. This does not satisfy the conditions.

Thus, there are exactly two such occurrences of 3 that meet the criteria.

Explanation

The condition requires us to find an odd number divisible by 3 or 5, immediately followed by an odd number, which is further immediately followed by an even number. This forms a consecutive triplet of numbers in the pattern: (Odd divisible by 3 or 5) -> (Odd) -> (Even).

Examining the given series, we find two such instances:

The first sequence is 3, 25, 18. In this triplet, 3 is an odd number divisible by 3, 25 is the following odd number, and 18 is the subsequent even number.

The second sequence is 21, 45, 46. In this triplet, 21 is an odd number divisible by 3, 45 is the following odd number, and 46 is the subsequent even number.

No other numbers in the series satisfy this consecutive condition. Thus, there are exactly two such odd numbers.

Explanation

To find the number of letters that satisfy the given condition, we classify each element in the arrangement. The symbols are δ, =, β, *, #, , @, ↑, ⊙, | , ∉. The numbers are 2, 5, 7, 8, 6, 9, 3. The letters are F, K, S, P, L, V, M, U, E, Q, G, T, Y.

The condition requires a letter to be either immediately preceded by a symbol OR immediately followed by a number, but NOT both. This means we are looking for either a (Symbol - Letter) pattern where the letter is not followed by a number, or a (Letter - Number) pattern where the letter is not preceded by a symbol.

Applying this to the arrangement: Letter K is preceded by symbol * and followed by letter S, satisfying the condition. Letter S is preceded by letter K and followed by number 7, satisfying the condition. Letter P is preceded by symbol and followed by letter L, satisfying the condition. Letter V is preceded by letter L and followed by number 8, satisfying the condition. Letter M is preceded by symbol @ and followed by letter U, satisfying the condition. Letter E is preceded by letter U and followed by number 6, satisfying the condition. Letter Q is preceded by symbol ↑ and followed by letter G, satisfying the condition. Letter T is preceded by symbol | and followed by letter Y, satisfying the condition.

Letter F is preceded by symbol β and followed by number 2, which satisfies both conditions, so it is excluded.

This results in a total of eight such letters (K, S, P, V, M, E, Q, and T) meeting the criteria.

Explanation

The word MEAN contains two consonants, M and N, and two vowels, E and A.

Replacing each consonant with its previous letter in the English alphabet: M is replaced by L N is replaced by M

The vowels E and A remain unchanged. This gives the set of letters L, E, A, M.

Using each of these letters exactly once, we can form three meaningful English words: LAME MALE MEAL

Explanation

The word NECESSARY has nine letters, positioned as N (1), E (2), C (3), E (4), S (5), S (6), A (7), R (8), and Y (9).

Interchanging the first and third letters puts C at the first position and N at the third position, resulting in CENESSARY.

Interchanging the fourth and sixth letters puts S at the fourth position and E at the sixth position, resulting in CENSSEARY.

Interchanging the seventh and ninth letters puts Y at the seventh position and A at the ninth position, resulting in CENSSEYRA.

Counting from the left, the seventh letter in this newly formed word is Y.

Explanation

To arrange the words in alphabetical order as they appear in a dictionary, we compare them letter by letter from left to right. All five words begin with the common prefix Epi. We then compare the fourth letter of each word:

For Epigene, the fourth letter is g. For Epilogue, the fourth letter is l. For Episode, the fourth letter is s. For Epitaxy and Epitome, the fourth letter is t.

Comparing these letters alphabetically, g comes first, followed by l, then s, and finally t. This gives the initial sequence of (iii) Epigene, (v) Epilogue, and (ii) Episode.

To determine the relative order between the remaining two words, Epitaxy and Epitome, we compare their fifth letters since their first four letters are identical. The fifth letter of Epitaxy is a, and the fifth letter of Epitome is o. Since a comes before o in the alphabetical order, Epitaxy precedes Epitome.

This yields the complete dictionary arrangement of (iii), (v), (ii), (i), (iv).

Explanation

Let A, B, C, and D represent the incomes of A, B, C, and D respectively. From the given conditions, we can formulate the following relations:

1. A + B > C + D
2. A + C = B + D
3. A = ½(B + D)

From equation 3, we have 2A = B + D. Substituting this value of B + D into equation 2 gives: A + C = 2A ⟹ C = A

Now, substituting C = A into inequality 1 gives: A + B > A + D ⟹ B > D

Since B + D = 2A, we can write A = (B + D)/2, which means A is the arithmetic mean of B and D. Because B > D, the mean A must lie strictly between them: B > A > D

Combining this with the equality C = A yields the complete relationship of their incomes: B > A = C > D

Explanation

The coding pattern swaps the first and third letters of the word while keeping the second and fourth letters in their original positions. In the word ROME, swapping the first letter R and the third letter M gives MORE, while O and E remain unchanged. Applying the same rule to the word DARE, swapping the first letter D and the third letter R gives RADE, while A and E remain in their respective second and fourth positions.

Explanation

The numerical positions of the letters in the English alphabet for this option are T = 20, w = 23, X = 24, and z = 26. The differences between consecutive letters in this group are +3, +1, and +2. This deviates from the consistent pattern of +2, +1, and +2 positional differences found in the other letter groups, making it the odd one out.

Explanation

This analogy represents the relationship between a traditional dwelling type and the geographic region where it is typically found. Just as igloos are traditional snow-block shelters historically associated with Canada, rondavels are traditional round, single-room huts with conical thatched roofs that are native to Africa.

Explanation

The right to vote in India is a constitutional right guaranteed under Article 326 of the Constitution of India, which establishes universal adult suffrage. It mandates that every citizen of India who is not less than 18 years of age has the right to be registered as a voter, subject to certain disqualifications specified by law.

Similarly, the right to be elected is also rooted in the Constitution. The qualifications and disqualifications for being elected to the Parliament and State Legislatures are enshrined in Articles 84, 102, 173, and 191 of the Constitution.

In Jyoti Basu v. Debi Ghosal (1982), the Supreme Court of India observed that the right to elect and to be elected are constitutional rights. While these rights are regulated and implemented through statutory provisions like the Representation of the People Act, 1951, their fundamental basis remains in the Constitution of India.

Explanation

Article 51 of the Constitution of India, which is contained within Part IV under the Directive Principles of State Policy, explicitly directs the State to promote international peace and security, maintain just and honourable relations between nations, foster respect for international law and treaty obligations, and encourage the settlement of international disputes by arbitration.

Explanation

Under Article 109 of the Constitution of India, a Money Bill is subject to special procedures that vest overriding powers in the Lok Sabha. When a Money Bill passed by the Lok Sabha is transmitted to the Rajya Sabha, the Rajya Sabha only has advisory powers and must return the bill within 14 days with its recommendations. The Lok Sabha has complete discretion to either accept or reject any or all of the recommendations made by the Rajya Sabha. Regardless of whether the Lok Sabha accepts or rejects these recommendations, the bill is deemed to have been passed by both Houses, allowing the Lok Sabha to proceed with the bill to the next stage of legislative passage.

Explanation

The Directive Principles of State Policy, contained in Part IV of the Constitution of India from Article 36 to 51, aim to establish a social and economic democracy. They act as guidelines for the State to promote the welfare of the people by securing and protecting a social order in which justice—social, economic, and political—informs all institutions of national life. By directing the government to minimize inequalities, provide adequate means of livelihood, and ensure fair distribution of resources, these principles form the bedrock of the welfare state concept in India.

Explanation

The fundamental objective of the Panchayati Raj system is to ensure democratic decentralisation, which was institutionalised across India through the 73rd Constitutional Amendment Act of 1992. Democratic decentralisation involves the devolution of powers, authorities, and responsibilities from the central and state governments to local self-governments at the grassroots level. By establishing a three-tier system of local administration, it aims to empower local communities, bringing decision-making, planning, and governance closer to the people to facilitate local development and self-reliance.

Explanation

Article 124(1) of the Constitution of India specifies that the Supreme Court of India shall consist of a Chief Justice of India and, until Parliament by law prescribes a larger number, of not more than seven other judges. This constitutional provision vests the power to increase the strength of Supreme Court judges solely in the Parliament. The Parliament exercises this authority by enacting and amending the Supreme Court (Number of Judges) Act, adjusting the strength of the judiciary over time to manage the caseload of the apex court.

Explanation

Hausla 2018 is an initiative of the Ministry of Women and Child Development (MWCD), which makes Statement 1 incorrect. It is a national festival organized specifically to provide a platform for children residing in Child Care Institutions (CCIs) to showcase their diverse talents, skills, and creative potential through various sports and cultural events, making Statement 2 correct.

Explanation

In the Ease of Doing Business Report 2019, published by the World Bank, India secured the 77th rank among 190 evaluated countries. This represented a substantial leap of 23 positions from its rank of 100 in the previous year's report. The improvement was driven by significant regulatory reforms across major assessment parameters, especially in categories such as obtaining construction permits and trading across borders.

Explanation

Prompt Corrective Action (PCA) is a quantitative and qualitative framework developed by the Reserve Bank of India (RBI) to monitor and restore the financial health of weak banks. Introduced in 2002, this early-intervention mechanism is triggered when a bank's essential financial metrics fall below certain risk thresholds. The RBI monitors key parameters such as the Capital to Risk-Weighted Assets Ratio (CRAR), Net Non-Performing Assets (NPA) ratio, and Return on Assets (RoA) to assess a bank's financial soundness. If a bank breaches these thresholds, the RBI imposes structured and discretionary corrective measures, such as restrictions on branch expansion, dividend distribution, lending to specific sectors, or executive compensation, to prevent bank failure and maintain financial stability.

Explanation

The Regional Comprehensive Economic Partnership (RCEP) is widely viewed as a China-led initiative because China is the largest economy in the bloc and has actively driven its negotiation to consolidate its trade and economic influence in the Asia-Pacific region.

It acts as a strategic counter-cooperation to the US-led Trans-Pacific Partnership (TPP), which originally sought to establish a major trade network in the region while excluding China.

The assertion regarding a guaranteed job market for Indian professionals is incorrect because other RCEP member countries consistently resisted liberalizing trade in services, particularly concerning the movement of natural persons (Mode 4). The failure to secure secure and open job markets for Indian professionals, combined with concerns over cheap goods flooding domestic markets, was a primary factor behind India's decision to withdraw from the RCEP negotiations in late 2019.

Explanation

The Constitution of India officially came into force and became the supreme law of the country on 26 January 1950. This date was specifically chosen to commemorate the declaration of Purna Swaraj (complete independence) by the Indian National Congress on 26 January 1930. With the implementation of the Constitution, India transitionally ceased to be a British Dominion and became a sovereign democratic republic, establishing the modern Republic of India.

Explanation

Under Article 281 of the Constitution of India, the President is required to cause the recommendations made by the Union Finance Commission, along with an explanatory memorandum of action taken, to be laid before each House of Parliament.

Similarly, Article 151 of the Constitution mandates that the reports of the Comptroller and Auditor-General of India relating to the accounts of the Union must be submitted to the President, who then causes them to be laid before each House of Parliament.

Furthermore, Article 338 of the Constitution dictates that the National Commission for the Scheduled Castes shall present its reports to the President, and the President is constitutionally duty-bound to cause all such reports to be laid before each House of Parliament along with a memorandum explaining the action taken on the recommendations.

Explanation

The Agricultural Marketing and Farmer Friendly Reforms Index (AMFFRI) was launched by NITI Aayog in October 2016. This index ranks Indian states and union territories based on their degree of implementation of crucial reforms in the agriculture sector. The rankings are evaluated across three major reform areas: agricultural market reforms (such as joining the e-NAM platform and reducing mandi taxes), land lease reforms, and forestry reforms on private land (concerning felling and transit of trees). It serves to evaluate the ease of doing agribusiness and incentivizes states to adopt modern, farmer-friendly policy frameworks.

Explanation

In April 1947, as the partition of British India became highly likely, the Premier of Bengal, Huseyn Shaheed Suhrawardy (H.S. Surhawardi), formally proposed the concept of a United Sovereign Bengal. Supported by other prominent Bengali leaders like Sarat Chandra Bose and Abul Hashim, this movement aimed to keep the province of Bengal undivided and establish it as a sovereign, independent state outside of both India and Pakistan. The proposal was intended to avoid the economic and social division of the region, though it ultimately failed due to strong opposition from major political factions and the All-India Congress leadership.

Explanation

Article 19 of the Constitution of India guarantees certain fundamental rights to all citizens, including the freedom of speech and expression under Article 19(1)(a). This right allows individuals to express their thoughts, beliefs, and opinions freely through speech, writing, printing, art, or any other medium. It is considered a cornerstone of Indian democracy, though it is subject to reasonable restrictions specified under Article 19(2) to protect national sovereignty, security, public order, and decency.

Explanation

The Economic Capital Framework (ECF) is a structured mechanism adopted by the Reserve Bank of India (RBI) to determine the appropriate level of risk provisions and capital reserves it must maintain. Under Section 47 of the RBI Act, 1934, the RBI transfers its surplus profits to the Government of India after keeping sufficient provisions for contingencies and risks. The framework ensures that the central bank remains financially resilient against macroeconomic shocks while maintaining a transparent and rule-based system for surplus transfer. An expert committee led by former RBI Governor Dr. Bimal Jalan reviewed this framework and submitted its recommendations, which were formally adopted by the RBI in August 2019.

Explanation

The Seventh Schedule of the Constitution of India, in accordance with Article 246, deals with the division of legislative powers between the Union government and the State governments. This distribution of power is categorized into three distinct lists: the Union List, which contains subjects of national importance where only Parliament can make laws; the State List, which contains subjects of local interest where State legislatures have lawmaking authority; and the Concurrent List, which includes subjects of common interest where both Parliament and State legislatures can legislate.

Explanation

The 86th Constitutional Amendment Act of 2002 inserted Article 21A to make free and compulsory education for children between the ages of six and fourteen a Fundamental Right. Consequently, it altered the subject matter of Article 45 under the Directive Principles of State Policy, which previously dealt with free and compulsory education for all children up to the age of fourteen. The amended Article 45 now directs the State to provide early childhood care and education for all children until they complete the age of six years.

Explanation

Under Article 233 of the Constitution of India, the appointment, posting, and promotion of district judges in any State are made by the Governor of the State. The Governor exercises this power in consultation with the High Court that has jurisdiction over the respective State. This constitutional provision ensures a degree of judicial independence by requiring consultation with the highest judicial authority in the state while keeping the formal power of appointment with the executive head of the state.

Explanation

Article 61 of the Constitution of India details the procedure for the impeachment of the President. According to Article 61(1), when a President is to be impeached for violation of the Constitution, the charge can be preferred by either House of Parliament. The process begins with a resolution containing the charges, which must be signed by at least one-fourth of the total membership of that initiating House and introduced after giving at least fourteen days' written notice.

Explanation

The Public Accounts Committee is constituted every year to examine the accounts showing the appropriation of sums granted by Parliament for the expenditure of the Government of India.

The committee examines the audit reports of the Comptroller and Auditor General of India, which makes statement 3 correct.

While examining these accounts and reports, the committee does not restrict itself to a formal and legal audit to check technical irregularities. It also conducts a propriety audit, which looks into the wisdom, faithfulness, economy, and prudence of the expenditure to identify cases of waste, extravagance, and loss. This makes statement 2 correct.

Explanation

Under Article 72 of the Constitution of India, the President is empowered to grant pardons, reprieves, respites, or remissions of punishment, or to suspend, remit, or commute the sentence of any person convicted of any offence in all cases where the punishment or sentence is by a Court Martial, in all cases where the punishment or sentence is for an offence against any law relating to a matter to which the executive power of the Union extends, and in all cases where the sentence is a sentence of death. Under Article 161 of the Constitution, the Governor of a State also possesses the power to grant pardons, reprieves, respites, or remissions of punishment or to suspend, remit, or commute the sentence of any person convicted of any offence against any law relating to a matter to which the executive power of the State extends.

Explanation

Article 280 of the Constitution of India mandates the creation of the Finance Commission. Constituted by the President of India every five years or earlier, this quasi-judicial body is responsible for recommending the distribution of financial resources between the Union and the State governments, as well as the principles that should govern the grants-in-aid to the States out of the Consolidated Fund of India.

Explanation

The 73rd Constitutional Amendment Act of 1992 established a uniform three-tier Panchayati Raj System across India. This structure consists of the Gram Panchayat at the village level, the Panchayat Samiti at the intermediate or block level, and the Zilla Parishad at the district level, facilitating decentralized governance and public participation at the grassroots.

Explanation

The 79th Constitutional Amendment Act, 1999 amended Article 334 of the Indian Constitution to extend the reservation of seats for Scheduled Castes and Scheduled Tribes and the special representation of the Anglo-Indian community in the Lok Sabha and the State Legislative Assemblies for a further period of ten years, up to January 25, 2010.

Explanation

The length of an arc of a circle is given by the formula:

s = (θ)/(360°) × 2π r

where s is the arc length, θ is the angle subtended at the centre, and r is the radius of the circle.

Substituting the given values s = 121 cm, θ = 77°, and π = ²²⁄₇ into the formula:

121 = ⁷⁷⁄₃₆₀ × 2 × ²²⁄₇ × r

121 = ¹¹⁄₃₆₀ × 44 × r

121 = (484 × r)/(360)

Dividing both sides of the equation by 121:

1 = (4 × r)/(360)

r = ³⁶⁰⁄₄

r = 90 cm

Explanation

The number of observations in the given data set is n = 6.

Using the relation between the sum of observations and their arithmetic mean:

Increase in Sum = Increase in Mean × n

Substituting the given values:

Increase in Sum = 1 × 6 = 6

Let the new number replacing 15 be x. The difference between the new number and 15 must equal the required increase in the sum:

x - 15 = 6

x = 21

Therefore, replacing 15 with 21 increases the arithmetic mean of the numbers by 1.

Explanation

The human spinal cord gives rise to 31 pairs of spinal nerves, which are part of the peripheral nervous system. These nerves emerge from the spinal cord and pass through the intervertebral foramina of the vertebral column to innervate various parts of the body. They are classified into five groups based on the region of the vertebral column from which they emerge, consisting of 8 cervical pairs, 12 thoracic pairs, 5 lumbar pairs, 5 sacral pairs, and 1 coccygeal pair. Each spinal nerve is a mixed nerve containing both sensory and motor fibers, facilitating bidirectional communication between the central nervous system and the rest of the body.

Explanation

At the moment the bomb is released, both the aeroplane and the bomb share the same horizontal velocity, v, relative to the ground. Since horizontal acceleration is zero when neglecting air resistance, the horizontal velocity of both the aeroplane and the bomb remains constant at v.

At any given time t, both the aeroplane and the bomb travel the exact same horizontal distance, x = v t. Consequently, the bomb is always positioned directly beneath the aeroplane throughout its descent. From the reference frame of the pilot, the bomb has no relative horizontal velocity and only moves downward under the influence of gravity. Therefore, the pilot observes the bomb falling in a straight line vertically downward.

Explanation

Hair is primarily composed of keratin, a fibrous protein that is highly rich in sulfur-containing amino acids, particularly cysteine. The natural shape, strength, and elasticity of hair are determined by the disulfide bonds (sulfur-to-sulfur linkages) formed between these cysteine residues. In beauty parlours, hair setting, perming, or straightening treatments utilize sulfur-based chemicals to temporarily break these disulfide bonds. This allows the hair to be molded or set into a new shape. Once the desired style is achieved, an oxidizing agent is applied to rebuild and reform the sulfur-sulfur bonds, locking the hair in its new set position.

Explanation

Urea has the highest nitrogen content among the given options, containing approximately 46% nitrogen by weight. Its chemical formula is CO(NH₂)₂. With a molar mass of 60 g/mol, the two nitrogen atoms contribute 28 g of the total weight, leading to a nitrogen percentage of (28/60) × 100 ≈ 46.7%. This makes it the most concentrated solid nitrogenous fertilizer.

Explanation

According to Kirchhoff's Law of thermal radiation, for any body in thermal equilibrium, the ratio of emissive power to absorptive power is constant and equal to the emissive power of a perfectly black body at that temperature.

ᵉ⁄ₐ = E

Here, e represents the emissive power and a represents the absorptive power. Since the ratio is constant for all bodies at a given temperature, a body with a high absorptive power (a good absorber) must also possess a high emissive power (a good emitter).

Explanation

When we breathe, the exhaled air is warm, less dense, and rises to the top of the room. To allow this warm and impure air to escape, ventilators are placed near the ceiling. As the warm air exits through the ventilators, cooler and denser fresh air from the outside enters the room through lower openings like doors and windows. This continuous rising of warm air and sinking of cool air sets up convection currents, which ensures a constant circulation of fresh air throughout the room.

Explanation

The quality, also known as timbre, of a sound is the characteristic that enables us to distinguish between different sounds that have the same pitch and loudness. Every individual's vocal cords and vocal tract have a unique structure, which produces a distinct combination of fundamental frequencies and overtones. This unique mixture of frequencies gives each person's voice its unique quality, making it possible to recognize a friend's voice instantly.

Explanation

A light year is a unit of astronomical distance defined as the distance that light travels in a vacuum or free space in one Julian year. Using the relationship where distance is the product of speed and time, we can calculate its value using the speed of light c ≈ 3 × 10⁸ m/s and the number of seconds in a year t ≈ 3.15 × 10⁷ s. This yields a total distance of approximately 9.46 × 10¹⁵ meters, which is used to measure vast interstellar and intergalactic distances.

Explanation

Stars are situated at immense distances from the Earth and appear as point sources of light. As the light from a star enters the Earth's atmosphere, it undergoes continuous refraction before reaching our eyes. The atmosphere is not static; its temperature, pressure, and density fluctuate constantly. These variations in density lead to continuous changes in the refractive index of different layers of air, which constantly bends the path of the starlight in random directions. Consequently, both the apparent position and the intensity of the light reaching the observer change rapidly, causing the star to appear to flicker or twinkle.

Explanation

Lemon juice contains a high concentration of citric acid, along with ascorbic acid. Because of the presence of these organic acids, it is highly acidic in nature. On the pH scale, which measures acidity and basicity from 0 to 14, substances with a pH less than 7 are classified as acidic. Lemon juice typically has a pH value of approximately 2 to 3, making it strongly acidic and placing its pH well below 7.

Explanation

Bacteria present in the mouth produce acids through the degradation of sugar and food particles remaining in the mouth after eating. When the pH level in the mouth falls below 5.5, the tooth enamel, which is made of calcium phosphate, begins to decay. Toothpastes are formulated to be basic in nature so that they can neutralize this excess acid, thereby preventing tooth decay and maintaining oral hygiene.

Explanation

Limestone is the primary raw material used in the manufacture of cement, contributing about 60% to 67% of its total chemical composition. During the manufacturing process in a rotary kiln, limestone undergoes thermal decomposition, or calcination, to yield calcium oxide (lime). This calcium oxide is essential as it reacts with silica and alumina to form calcium silicates, which are the main binding phases responsible for the strength and hydraulic properties of cement.

Explanation

Brass is a substitutional alloy consisting of copper and zinc. The addition of zinc to copper improves its strength, hardness, and corrosion resistance, making it highly useful for applications such as musical instruments, decorative items, ammunition casing, and plumbing fixtures. The copper content typically varies from 50% to 90%, while the zinc content varies from 10% to 50% depending on the desired physical and mechanical properties of the alloy.

Explanation

The surface area of a cube with side length s is given by the formula: A₁ = 6s²

When each side of the cube is doubled, the new side length becomes 2s. The new surface area A₂ is: A₂ = 6(2s)² = 24s²

The percentage increase in the surface area is calculated using the formula: Percentage Increase = (A₂ - A₁)/(A₁) × 100

Substituting the values into the formula: Percentage Increase = (24s² - 6s²)/(6s²) × 100 = (18s²)/(6s²) × 100 = 3 × 100 = 300%

Explanation

The LCM of a given set of fractions is calculated using the standard formula:

LCM of fractions = (LCM of Numerators)/(HCF of Denominators)

For the fractions ⁴⁄₃, ⁸⁄₉ and ⅗:

The numerators are 4, 8, and 3. The least common multiple of 4, 8, and 3 is 24, as 24 is the smallest number divisible by all three.

The denominators are 3, 9, and 5. Since 5 is a prime number that does not share any common factors with 3 or 9 other than 1, the highest common factor of 3, 9, and 5 is 1.

Substituting these values into the formula gives:

LCM = ²⁴⁄₁ = 24

Explanation

The sum of the squares of the first n natural numbers is represented by the formula Sₙ = (n(n + 1)(2n + 1))/(6).

To find the value of the series 5² + 6² + 7² + … + 10², we subtract the sum of the squares of the first 4 natural numbers from the sum of the squares of the first 10 natural numbers. This is represented mathematically as S₁₀ - S₄.

First, we calculate S₁₀ by substituting n = 10 into the formula: S₁₀ = (10 × (10 + 1) × (2 × 10 + 1))/(6) = (10 × 11 × 21)/(6) = 385

Next, we calculate S₄ by substituting n = 4 into the formula: S₄ = (4 × (4 + 1) × (2 × 4 + 1))/(6) = (4 × 5 × 9)/(6) = 30

Subtracting S₄ from S₁₀ yields the required sum: 385 - 30 = 355

Explanation

Bernoulli's principle states that for a flowing fluid, an increase in the speed of the fluid occurs simultaneously with a decrease in static pressure, which can be represented by the relation:

P + ½ρ v² = constant

When two cars pass each other at high speed, the air trapped in the narrow gap between them is forced to move at a very high velocity. According to the principle, this high velocity of air leads to a significant decrease in air pressure in the space between the two vehicles. Meanwhile, the air pressure on the outer sides of the cars remains relatively higher. This pressure difference creates a net inward force pushing the cars toward each other, resulting in the danger of side-swiping.

Explanation

Fats are the most energy-dense macronutrients, yielding approximately 9 kcal/g of energy. This high caloric density is a direct result of the chemical structure of lipids, which feature long hydrocarbon chains with a high ratio of carbon-hydrogen bonds and very little oxygen. During metabolic oxidation, these highly reduced carbon atoms undergo complete oxidation to carbon dioxide and water, releasing a significantly larger amount of free energy per unit mass compared to other nutrients that are already partially oxidized. This makes them the most efficient medium for energy storage in the body.

Explanation

An electrocardiogram (ECG or EKG) is a diagnostic tool that measures and records the electrical activity of the heart. During each cardiac cycle, the depolarization and repolarization of the cardiac muscle generate tiny electrical currents that spread through the surrounding tissues and reach the surface of the body. Electrodes placed on the skin detect these changes in potential difference over time, translating them into a graphical representation of the heart's electrical events.

Explanation

Biogas is a renewable fuel produced through the anaerobic digestion or fermentation of organic matter, such as agricultural waste, manure, municipal waste, and sewage. The primary components of biogas are methane (CH₄), which typically constitutes 50 to 75 percent of the mixture, and carbon dioxide (CO₂), which makes up about 25 to 50 percent. It also contains trace amounts of other gases, including hydrogen (H₂), nitrogen, and hydrogen sulfide.

Explanation

Noise pollution is generally considered to be created when noise levels exceed a certain threshold, typically around 70-75 dB, especially for prolonged exposure or in sensitive areas. While noise levels in the 80-99 dB range (option C) are undeniably severe noise pollution and cause hearing damage, 70-75 dB is a more common starting point where noise becomes problematic and classified as pollution. Many regulations and health guidelines identify noise above 70 dB as a concern for health and well-being.

Explanation

The liver's primary role in processing alcohol is detoxification. This process generates toxic byproducts and overwhelms the liver's metabolic capacity, leading to inflammation, cell death, and eventually severe damage like cirrhosis. While fat accumulation is a significant consequence, the fundamental reason for damage is the burden of detoxifying alcohol.

Explanation

The angle of dip, or magnetic inclination, is defined as the angle that the total magnetic field vector of the Earth makes with the horizontal plane at a given location. At the magnetic poles of the Earth, the magnetic field lines are directed vertically downwards or vertically upwards. Because the magnetic field vector is completely perpendicular to the horizontal surface of the Earth at these points, its horizontal component is zero. Using the relation tan θ = B_V / B_H, where θ is the angle of dip, B_V is the vertical component, and B_H is the horizontal component of the Earth's magnetic field, when B_H = 0 the value of θ is 90°.

Explanation

The Constitution (123rd Amendment) Bill, 2017 was introduced to grant constitutional status to the National Commission for Backward Classes (NCBC). Upon receiving the assent of the President, this bill became the Constitution (102nd Amendment) Act, 2018. It inserted Article 338B into the Constitution of India, thereby establishing and empowering the National Commission for Backward Classes to safeguard the interests of socially and educationally backward classes more effectively.

Explanation

Section 497 of the Indian Penal Code defined and penalized the offense of adultery, prescribing that any man who had sexual intercourse with a married woman without the consent or connivance of her husband was guilty of the offense of adultery. In September 2018, a five-judge Constitution Bench of the Supreme Court of India, in the landmark case of Joseph Shine v. Union of India, unanimously struck down Section 497 as unconstitutional, ruling that it violated Articles 14, 15, and 21 of the Constitution of India, thereby decriminalizing adultery.

Explanation

At the 90th Academy Awards held in March 2018, Gary Oldman won the Oscar for Best Actor in a Leading Role for his portrayal of Winston Churchill in the film Darkest Hour. Sam Rockwell won Best Supporting Actor that same year for Three Billboards Outside Ebbing, Missouri, Alexandre Desplat won Best Original Score for The Shape of Water, and Lee Smith won Best Film Editing for Dunkirk, so none of those names corresponds to the leading actor prize.

Explanation

Andrew Sean Greer won the 2018 Pulitzer Prize for Fiction for his bestselling novel Less. The book is a satirical comedy that follows Arthur Less, a midlist novelist who embarks on a series of literary events around the globe to avoid attending his former boyfriend's wedding.

Explanation

The fourteenth G20 Summit was hosted in the city of Osaka, Japan, from June 28 to June 29, 2019. It marked the first time that Japan hosted the G20 Summit. The summit's agenda centered on key global issues, including the global economy, trade, digital economy, environment, and women's empowerment.

Explanation

Article 154 of the Constitution of India provides that the executive power of the State shall be vested in the Governor and shall be exercised by him either directly or through officers subordinate to him in accordance with the Constitution. This article establishes the Governor as the constitutional head of the state executive, vesting all executive actions of the state government in their name.

Explanation

Flood of Fire is a historical fiction novel written by the acclaimed Indian author Amitav Ghosh. Published in 2015, it serves as the final installment of his celebrated Ibis Trilogy, which also includes Sea of Poppies and River of Smoke. The novel is set against the backdrop of the First Opium War between Britain and China, depicting the geopolitical tensions, trade dynamics, and personal journeys of diverse characters affected by the historical conflict.

Explanation

Millie Bobby Brown was appointed as UNICEF's newest Goodwill Ambassador on November 20, 2018, coinciding with World Children's Day. At 14 years old, she became the youngest-ever Goodwill Ambassador in the history of the organization. In her role, she uses her global platform to raise awareness about children's rights and key issues affecting youth, such as the lack of education, safe spaces to play and learn, and the impacts of poverty, bullying, and violence.

Explanation

Vikram Misri took charge as the Ambassador of India to the People's Republic of China in January 2019. He is an officer of the 1989 batch of the Indian Foreign Service and has previously served as India's envoy to Myanmar and Spain, as well as holding key positions in the Ministry of External Affairs and the Prime Minister's Office.

Explanation

Christine Lagarde served as the Managing Director of the International Monetary Fund (IMF) from July 2011 to September 2019. As the chief of the IMF, she was the first woman to head the institution, leading it through critical global economic phases, including the European sovereign debt crisis. She stepped down from her position in September 2019 to become the President of the European Central Bank (ECB).

Explanation

Ibrahim Mohamed Solih assumed office as the President of the Maldives on 17 November 2018. A senior leader of the Maldivian Democratic Party (MDP), he won the September 2018 presidential election and served as the head of state, focusing on restoring democratic norms, strengthening judicial independence, and reviving traditional foreign alliances.

Explanation

Golda Meir served as the fourth Prime Minister of Israel from 1969 to 1974. During her tenure, on September 5 to 6, 1972, members of the Israeli Olympic team were taken hostage and killed by the Palestinian terrorist group Black September in Munich, West Germany. Following the tragedy, Golda Meir authorized Operation Wrath of God, a covert Mossad campaign to track down and assassinate the perpetrators and planners of the massacre.

Explanation

Mike Pompeo served as the 70th United States Secretary of State under President Donald Trump. He assumed office on April 26, 2018, and held the position until January 20, 2021, making him the active Secretary of State in January 2019.

Explanation

Emperor Akihito served as the 125th Emperor of Japan according to the traditional order of succession. He ascended the Chrysanthemum Throne in 1989. He formally abdicated on April 30, 2019, due to his advanced age and declining health, marking the end of the Heisei era. His abdication was the first by a Japanese monarch in over two centuries, after which his eldest son, Naruhito, succeeded him to the throne.

Explanation

Moon Jae-in served as the 19th President of South Korea, holding the office from May 10, 2017, to May 10, 2022. He assumed the presidency after winning the democratic presidential election in May 2017.

Explanation

Palden Thondup Namgyal was the twelfth and last sovereign Chogyal of the Kingdom of Sikkim. He ascended the throne in 1963 and reigned until April 1975, when the monarchy was abolished after a referendum that led to Sikkim joining India as its twenty-second state.

Explanation

The Asia Reassurance Initiative Act of 2018 (ARIA) was signed into law by U.S. President Donald Trump on 31 December 2018. This legislation provides a comprehensive, long-term strategic framework for United States policy toward the Indo-Pacific region. It aims to secure U.S. strategic and economic interests, bolster partnerships and alliances with nations in the region, promote democracy, human rights, and the rule of law, and authorize designated funding to support these regional objectives.

Explanation

Vansda National Park is a protected forest area located in the Navsari district of Gujarat. Established in 1979, the park covers an area of about 23.99 square kilometers and is situated on the banks of the Ambika River, forming part of the dense woodlands of the Western Ghats' Sahyadri range. The park is renowned for its thick, moist deciduous forest canopy that remains relatively undisturbed, providing habitat to a wide variety of wildlife including leopards, rhesus macaques, barking deer, wild boars, and a rich diversity of bird and butterfly species.

Explanation

The Iranian Rial is the official currency of Iran, denoted by the currency code IRR. It is issued and regulated by the Central Bank of the Islamic Republic of Iran, which has managed the nation's monetary policy and currency issuance.

Explanation

The World Day for War Orphans is observed globally every year on January 6. Initiated by the French organization SOS Enfants en Detresse, the day aims to address the multi-faceted challenges faced by war orphans, including social, psychological, and physical obstacles. It seeks to raise awareness about the harsh conditions and trauma endured by children who have lost their parents in armed conflicts and emphasizes the protection of their rights, well-being, and access to healthcare and education.

Explanation

In the landmark 2018 Sabarimala temple case, a five-judge Constitution Bench of the Supreme Court of India delivered a majority judgment lifting the ban on the entry of women of menstruating age into the shrine. Justice Indu Malhotra was the sole dissenting judge on the bench. In her dissenting opinion, she held that issues of deep religious sentiments should not ordinarily be interfered with by courts, asserting that the right to equality under Article 14 cannot override the right to worship under Article 25 which protects essential religious practices.

Explanation

Asaduddin Owaisi is the President of the All India Majlis-e-Ittehadul Muslimeen (AIMIM), a prominent political party in India. He has been serving as the Member of Parliament (MP) in the Lok Sabha representing the Hyderabad constituency since 2004. He assumed the leadership of the party in 2008 following the death of his father, Sultan Salahuddin Owaisi. Under his leadership, the party has expanded its political presence and electoral participation across various states in India.

Explanation

Sikkim became India's first fully organic state in January 2016. This transition began in 2003 when the state government officially resolved to convert all agricultural land to organic farming. Through the Sikkim Organic Mission, chemical fertilizers and chemical pesticides were completely banned, and agricultural practices were systematically shifted to traditional composting, bio-fertilizers, and organic manure. This comprehensive policy implementation successfully converted around 75,000 hectares of agricultural land into certified organic farms.

Explanation

Geraldin Ford has never served as the President of the United States. While Gerald Ford served as the 38th President of the United States from 1974 to 1977, there has never been a US President named Geraldin Ford.

Explanation

Amitav Ghosh was honoured with the 54th Jnanpith Award for his outstanding contribution to the enrichment of Indian literature in English. With this recognition, he became the first English-language writer to receive India's highest literary honour. He is highly acclaimed for his work in historical fiction, with celebrated novels such as The Shadow Lines, The Glass Palace, and the Ibis trilogy.

Explanation

M.K. Gandhi founded the All India Harijan Samaj, initially established as the All India Anti-Untouchability League, on September 30, 1932. This social reform organization was created in the wake of the Poona Pact to eradicate untouchability and secure equal human rights for the depressed classes, whom Gandhi affectionately termed Harijans, meaning children of God. He also launched a weekly journal named Harijan to advocate for their social, educational, and economic upliftment.

Explanation

The Ghadar Party was an international political movement founded in 1913 by expatriate Indians in the United States and Canada to overthrow British colonial rule in India. Originally established as the Pacific Coast Hindustan Association, the organization relied heavily on the leadership and intellectual guidance of Lala Har Dayal, who served as its General Secretary. He played a pivotal role in mobilizing Indian immigrants, mostly Punjabi laborers and students, and founded the influential weekly revolutionary newspaper, Ghadar, which served as the mouthpiece of the movement and gave the party its name.

Explanation

Netaji Subhas Chandra Bose established the Provisional Government of Independent India, also known as Arzi Hukumat-e-Azad Hind, on October 21, 1943, in Singapore. This provisional government-in-exile was formed to launch a military campaign to liberate India from British rule, with Bose serving as the Head of State, Prime Minister, and Minister for War.

Explanation

The first and most famous trial of the Indian National Army officers began in November 1945 at the Red Fort in Delhi. This joint court-martial involved Colonel Prem Kumar Sahgal, Colonel Gurbaksh Singh Dhillon, and Major General Shah Nawaz Khan, who were charged with waging war against the King-Emperor. The trial generated widespread public sympathy and political unity across India, with a defense team led by prominent lawyers and political leaders including Bhulabhai Desai, Tej Bahadur Sapru, Kailash Nath Katju, and Jawaharlal Nehru.

Explanation

On July 14, 1942, the Congress Working Committee met at Wardha and adopted the historic Quit India Resolution, which is also commonly referred to as the Wardha Resolution. This resolution demanded an immediate end to British rule in India and authorized Mahatma Gandhi to lead a non-violent mass struggle. The decision taken at Wardha was subsequently approved and ratified by the All India Congress Committee during its meeting in Bombay on August 8, 1942, marking the formal launch of the Quit India Movement.

Explanation

Bal Gangadhar Tilak, the prominent nationalist leader popularly known as Lokmanya, passed away in Bombay on August 1, 1920. This tragic event coincided exactly with the formal launch of the Non-Cooperation Movement by Mahatma Gandhi. Tilak's demise served as a rallying point for the nation, leading to the creation of the Tilak Swaraj Fund to finance the non-cooperation activities, which received overwhelming public support and collected over one crore rupees.

Explanation

The song Vande Mataram was sung for the first time in a political context at the twelfth annual session of the Indian National Congress held in Calcutta in 1896. Rabindranath Tagore set the song to music and performed it during this session, which was presided over by Rahimtulla M. Sayani. The song was originally written by Bankim Chandra Chattopadhyay in his 1882 novel Anandamath.

Explanation

The Non-cooperation movement was officially suspended by Mahatma Gandhi in February 1922 following the Chauri Chaura incident. On 4 February 1922, a violent clash occurred at Chauri Chaura in the Gorakhpur district of Uttar Pradesh, where a large crowd of protesters set fire to a police station, leading to the deaths of 22 policemen. Committed to the principle of absolute non-violence, Gandhi felt that the masses were not yet fully prepared for a peaceful Satyagraha. Consequently, he called off the nationwide movement, and the Congress Working Committee formally approved the suspension through the Bardoli Resolution on 12 February 1922.