WBCS Prelims 2023 Question Paper with Answers & Explanations

Explanation

The term blog is a shortened form of web log, which was coined by Jorn Barger in December 1997 to describe the process of logging the web as he browsed. In 1999, Peter Merholz jokingly broke the word weblog into the phrase we blog, which led to the widespread adoption of blog as both a noun and a verb.

Explanation

The idiom look before you leap means to consider the possible consequences or review options carefully before taking action or making a significant decision. This aligns perfectly with the advice given in the sentence to evaluate circumstances thoroughly before committing to a choice.

Explanation

The adjective interested is typically followed by the preposition in, making the first blank in. The phrasal verb take up means to begin studying a subject or practicing a hobby, making taking up the correct fit for the second blank. The verb decided is followed by a to-infinitive verb, which gives decided to. The standard prepositional phrase used with the verb opt to show selection is opt for, which completes the final blank.

Explanation

The term regicide is derived from the Latin roots rex, which means king, and cida, which means killer or slayer. Therefore, the word regicide specifically denotes the act of killing a king or a reigning sovereign, making it the precise term to replace the phrase killing the king.

Explanation

The word fit serves as a synonym for suitable in the first sentence, meaning appropriate, qualified, or proper for a particular role or purpose. In the second sentence, fit functions as a verb meaning to pack, squeeze, or find space for, replacing the action of arranging or putting belongings into a confined space like a suitcase.

Explanation

The pair Kidney diseases - urologist is incorrect because kidney diseases are treated and managed by a nephrologist. A nephrologist is a medical doctor who specializes in diagnosing and treating diseases of the kidneys, such as chronic kidney disease, kidney failure, glomerulonephritis, and hypertension. In contrast, a urologist is a surgical specialist who focuses on the urinary tract system of both males and females, including the bladder, urethra, and male reproductive organs, handling conditions that may require surgical intervention like kidney stones or urinary tract obstructions.

Explanation

The word adjunct refers to something added to another thing but not essential to it, functioning in an auxiliary, supplementary, or subordinate capacity. It denotes an element or person associated with another in a supportive, secondary, or auxiliary role. The word additional directly aligns with this meaning, as both terms represent something extra or supplementary that accompanies a primary component.

Explanation

The word chide means to scold, rebuke, or express disapproval of someone's behavior. The antonym of expressing disapproval and criticizing is to express warm approval, admiration, or commendation, which is defined as praise.

Explanation

An auxiliary verb, also known as a helping verb, accompanies a main verb to express tense, mood, voice, or modality. The word can functions as a modal auxiliary verb used to denote ability, capability, permission, possibility, or capacity. For example, in the sentence "She can speak English," the verb can acts as an auxiliary verb assisting the main verb "speak" to express ability.

Explanation

Psephology is the statistical and scientific study of elections, voting trends, and public opinion polling. A psephologist uses quantitative data, such as historical voting records, demographic statistics, and opinion poll results, to analyze and predict electoral patterns and outcomes. The term is derived from the Greek word psephos, which means pebble, referencing the pebbles used by ancient Athenians to cast their ballots.

Explanation

The conversion of the reported sentence into direct speech requires the past tense reporting verb "said" to match the past tense of the original verb "expressed". Standard English punctuation dictates that a comma must separate the reporting verb from the direct quotation. The exact spoken words must be enclosed in double quotation marks and begin with a capital letter, which satisfies all grammatical and punctuation rules.

Explanation

The auxiliary verb has is followed by not been to form the negative present perfect tense has not been, which correctly pairs with the adjective meticulous. The preposition in is followed by the gerund overseeing to indicate the activity. The participle giving is used to introduce the consequence clause giving rise to, indicating the result of the action. Finally, because irregularities is a countable plural noun, it is correctly preceded by the quantifier many.

Explanation

The phrasal verb look into means to investigate, examine, or research a matter or situation. In this sentence, it fits perfectly as the action required for the matter. The adverb more is used as a comparative modifier before the adverb thoroughly to indicate that the investigation needs to be carried out to a greater or deeper extent. Combining these yields a grammatically precise and contextually appropriate sentence.

Explanation

A clairvoyant is a person who claims to have the ability to perceive events, objects, or or information beyond normal human senses, often involving predicting the future or exhibiting psychic foresight. This aligns with the role of an astrologer, who also practices the art of forecasting future occurrences and interpreting signs to reveal hidden knowledge.

Explanation

Sentence (i) is grammatically and semantically correct as it uses the adjective personal in the correct context to refer to private or individual matters belonging to a person. In sentence (ii), the word personal is used incorrectly in place of the noun personnel, which refers to the employees or staff of an organization or company. Since sentence (ii) refers to the employees of the company being dissatisfied with their salaries, the correct spelling and word should be personnel. Thus, only sentence (i) is correct.

Explanation

Direct speech requires a comma to separate the reporting clause from the quoted speech, which must be enclosed in double quotation marks with the first letter capitalized. When converting the indirect question "why he wasn't in class" into direct speech, the indirect word order (subject + verb) shifts to the interrogative word order (verb + subject) for a direct question. This requires the auxiliary verb "are" to precede the subject "you", resulting in the grammatically correct question "Why are you not in class?".

Explanation

The word vicarious refers to an experience, feeling, or action that is enjoyed or undergone through imagined participation in the experience of another person. Since it is experienced secondhand rather than firsthand, it is characterized as being indirect. For instance, reading about an adventure can give a reader vicarious or indirect excitement.

Explanation

Water body is a general category or hypernym that encompasses all types of physical accumulations of water. While the other terms represent specific, distinct types of hydrological features, water body serves as the overarching classification for all of them, making it the odd one out.

Explanation

The noun counsel refers to advice, opinion, or guidance offered to someone, especially by a wise or experienced person. In this sentence, the speaker is expressing gratitude for the valuable advice or guidance provided by their friend, making counsel the grammatically and semantically correct choice to complete the sentence.

Explanation

The correct word to fill in the blank is "pursue", which is the standard English spelling of the verb meaning to follow, carry out, or engage in a course of study or action. In this context, to pursue one's studies means to actively conduct and follow one's educational path.

Explanation

The word contain functions as an appropriate substitute in both contexts due to its multiple meanings. In the first sentence, contain means to restrain, hold back, or keep within limits, which directly replaces control. In the second sentence, contain means to have or hold within itself, which perfectly replaces have.

Explanation

The word ebullient means cheerful, full of energy, and overflowing with enthusiasm or excitement. In the first sentence, it directly replaces exuberant, which characterizes a person who is full of energy, excitement, and cheerfulness. In the second sentence, it replaces festive, as being in an ebullient mood captures the lively, high-spirited, and joyful atmosphere of people celebrating at a party.

Explanation

When converting direct speech to indirect speech, several rules are followed when the reporting verb is in the past tense. The conjunction that is introduced after the reporting verb said. The first-person pronoun I changes to the third-person pronoun he to agree with the subject of the main clause. The modal auxiliary verb will shifts to its past form would to maintain tense agreement. Additionally, the adverb of time tomorrow is replaced with the next day to reflect the shift in time perspective. This makes the sentence: He said that he would go there the next day.

Explanation

The proverb a stitch in time saves nine means that taking prompt action to deal with a problem at an early stage prevents it from becoming worse and requiring much more effort to fix later. This directly supports the advice of avoiding delay, as addressing an issue immediately is far more efficient than waiting.

Explanation

The subjunctive mood is used to express hypothetical, conditional, or counterfactual situations, as well as wishes and possibilities. In the sentence "I would surely go there if I could," the speaker is expressing an action that is not a factual reality but is dependent on a hypothetical condition. The use of the past modal "could" in the conditional clause "if I could" indicates a state that is contrary to fact, which is a characteristic function of the subjunctive mood in English grammar.

Explanation

Sir Syed Ahmad Khan was a prominent educationist and reformer who strongly opposed Muslim participation in the newly formed Indian National Congress. He believed that the representative form of government and competitive examinations demanded by the Congress would inevitably lead to the domination of the Hindu majority over the Muslim minority in India. In voicing his opposition, he characterized the Congress as a political movement whose true nature resembled a civil war without arms, meaning its underlying struggle was to determine which community would hold absolute political power in the country.

Explanation

Guru Gobind Singh (also spelled Guru Govind) was the tenth and final human Guru of Sikhism, assuming leadership in 1675 following the martyrdom of his father. He is most celebrated for founding the warrior community of baptized Sikhs called the Khalsa in 1699, which defined the Sikh identity with the initiation ceremony and the requirement to wear the Five Ks. Before his death in 1708, he declared the sacred text, the Guru Granth Sahib, as the eternal and living spiritual guide for the Sikh community, thereby ending the line of human Gurus.

Explanation

The Vaikkom Satyagraha of 1924–1925 was a pioneering non-violent movement in the princely state of Travancore against caste discrimination and untouchability. Led by leaders like K. P. Kesava Menon, T. K. Madhavan, and K. Kelappan, and actively supported by Mahatma Gandhi, the movement sought to secure the right for lower-caste Hindus to walk on the public roads surrounding the Vaikom Mahadeva Temple. This satyagraha served as a crucial precursor to the wider temple entry movement across Kerala, ultimately leading to the historic Temple Entry Proclamation of 1936 which opened all temples in Travancore to all Hindus.

Explanation

Based on the given statements, we can set up inequality relations to determine the ascending order of their ages.

The statement that C is older than D but younger than B gives the age relation D < C < B.

The statement that A is older but not elder most implies that A is older than C, meaning C < A. Since A is not the eldest among the group, the position of the eldest person must belong to B, which gives the relation A < B.

Combining these two relations, we get the complete order D < C < A < B.

Arranging the friends in ascending order of their age yields D, C, A, B.

Explanation

The pineal gland, also known as the pineal body, is the smallest endocrine gland in the human body. Located in the epithalamus near the center of the brain, it measures only about 5 to 8 millimeters in length and weighs approximately 100 to 150 milligrams. It is responsible for secreting melatonin, which regulates circadian rhythms.

The thyroid gland is the largest endocrine gland in the human body. It is a butterfly-shaped organ situated in the neck, anterior to the trachea. In a healthy adult, the thyroid gland typically weighs about 15 to 25 grams and is responsible for secreting thyroid hormones that regulate the body's metabolic rate, growth, and development.

Explanation

When the Indian National Congress launched the Individual Satyagraha movement in October 1940 to protest India's forced involvement in the Second World War, Mahatma Gandhi chose Vinoba Bhave as the very first satyagrahi to court arrest by making anti-war speeches. Jawaharlal Nehru was selected as the second individual satyagrahi, and Brahma Datt as the third. Vinoba Bhave, a close disciple of Gandhi later renowned for the Bhoodan land-gift movement, courted arrest at Paunar near Wardha, marking the symbolic beginning of this limited, controlled form of protest.

Explanation

The given letter series is formed by repeating the four-letter pattern strs four times consecutively:

strs strs strs strs

Writing this continuous sequence of 16 letters gives:

s t r s s t r s s t r s s t r s

Now, comparing this sequence with the given series containing blanks:

s t _ s _ t r s s _ r s s t _ s

By aligning the two sequences, we can identify the missing letters: The first blank is filled by r The second blank is filled by s The third blank is filled by t The fourth blank is filled by r

The sequential order of the letters to fill the blanks is rstr.

Explanation

The second split in the Indian National Congress occurred in 1918 over the Montagu-Chelmsford reform proposals, which arose from the Montagu Declaration of August 1917. While the nationalist majority in the Congress criticized the proposals as disappointing and unsatisfactory during a special session in Bombay in August 1918, moderate leaders welcomed the reforms and wanted to cooperate with the British administration. Due to these deep ideological differences, the moderates, led by Surendranath Banerjee, left the Congress to establish a separate organization, the Indian National Liberal Federation.

Explanation

Decreasing the Statutory Liquidity Ratio (SLR) reduces the proportion of deposits that commercial banks must maintain in liquid assets like government securities. This frees up more funds for banks to lend to the public, which increases the money supply and credit creation in the economy, leading to higher demand and an inflationary effect.

Abolishing the Cash Reserve Ratio (CRR) eliminates the requirement for banks to keep a mandatory percentage of their deposits as cash reserves with the central bank. This significantly expands the loanable funds of commercial banks, leading to a rapid expansion of credit, increased liquidity, and consequently an inflationary effect.

Explanation

The concept of justice in social, economic, and political spheres is explicitly mentioned in two key sections of the Indian Constitution.

First, the Preamble to the Constitution of India guarantees to all its citizens justice, social, economic, and political.

Second, Article 38(1) under Part IV of the Constitution, which lays down the Directive Principles of State Policy, mandates that the State shall strive to promote the welfare of the people by securing and protecting as effectively as it may a social order in which justice, social, economic, and political, shall inform all the institutions of the national life.

Explanation

When two small drops of a liquid coalesce to form a single larger drop, the total volume remains constant while the total surface area decreases. Let the radius of each small drop be r and the radius of the merged drop be R. By conservation of volume:

2 × ⁴⁄₃π r³ = ⁴⁄₃π R³

This relation gives the radius of the larger drop as R = 2¹^/³r.

The initial total surface area of the two independent drops is:

Aᵢ = 2 × 4π r² = 8π r²

The final surface area of the merged single drop is:

A_f = 4π R² = 4π (2¹^/³r)² = 4 × 2²^/³π r² ≈ 6.35π r²

The change in surface area shows that the final surface area is less than the initial surface area (A_f < Aᵢ). The surface energy of a liquid surface is given by the relation E = T · A, where T is the surface tension and A is the surface area. Since the total surface area decreases, the total surface energy of the system decreases, and this excess surface energy is released into the surroundings.

Explanation

Uttar Pradesh records high productivity (yield per hectare) in pulse cultivation due to several favorable factors. The state's pulse farming benefits from the highly fertile alluvial soil of the Indo-Gangetic plains, which provides excellent nutrient support. Additionally, Uttar Pradesh has better access to assured irrigation systems compared to the rainfed conditions under which pulses are generally grown in other parts of the country. The implementation of government initiatives, such as the National Food Security Mission (NFSM-Pulses), has further boosted productivity by promoting high-yielding variety (HYV) seeds, modern agricultural machinery, and scientific crop management. As a result, the average yield of pulses in the state regularly exceeds 1,000 kg per hectare, placing it at the top in terms of productivity among the major pulse-growing regions of India.

Explanation

The Jan Vishwas (Amendment of Provisions) Bill was introduced in Parliament with the primary objective of promoting the ease of doing business and ease of living. The legislation achieves this by decriminalizing minor offenses, reducing compliance burdens, and rationalizing monetary penalties across multiple central acts. By replacing minor criminal imprisonments with civil penalties, it fosters trust between the government and businesses, reduces judicial drag, and encourages a more investment-friendly ecosystem.

Explanation

The Asian-Pacific Postal Union (APPU) is an intergovernmental organization comprising 32 member countries in the Asia-Pacific region. It serves as a restricted union of the Universal Postal Union (UPU) to extend, facilitate, and improve postal relations and cooperation among member nations. While the organization was initially established in Manila, its headquarters transitioned to Bangkok, Thailand, in 2002.

Explanation

In the thermite reaction used for repairing cracked railway tracks, highly reactive aluminium metal is reacted with iron(III) oxide. The chemical equation for this highly exothermic redox reaction is:

Fe₂O₃ + 2Al → Al₂O₃ + 2Fe + Heat

Aluminium has a much stronger affinity for oxygen than iron does. During the reaction, aluminium reduces the iron(III) ions in iron oxide to molten iron metal while itself being oxidized to aluminium oxide. Because aluminium causes the reduction of iron oxide by donating electrons, aluminium metal acts as the reducing agent.

Explanation

The Rourkela Steel Plant is located in the Sundargarh district of Odisha, which is a prominent iron ore mining area. According to standard industrial geography, integrated steel plants are weight-losing industries that are situated either near coalfields or near sources of iron ore to minimize transportation costs of heavy raw materials. Rourkela falls under the category of steel plants located close to iron ore mining areas, drawing its iron ore from the nearby mines of Sundargarh and Kendujhar.

Explanation

Since B has a better rank than A, B is positioned higher than A (closer to the first rank). A is ranked 10th from the top. Since there are exactly 2 students between A and B, B's rank from the top is calculated as 10 - 2 - 1 = 7th.

B is also given as 38th from the bottom. Using the standard ranking relation:

Total students = Rank from Top + Rank from Bottom - 1

Substituting the values for B:

Total students = 7 + 38 - 1 = 44

Explanation

National Parks are areas designated for the protection of wildlife and biodiversity, where human activities, including free entry by people, are strictly prohibited. Entry is highly regulated, often requires permits and fees, and certain areas may be completely off-limits to the public to ensure minimal human disturbance. While Reserved Forests also restrict human activities and entry without permission, National Parks generally have the most stringent and consistently enforced controls on public access.

Explanation

Maulana Abul Kalam Azad served as the President of the Indian National Congress for six consecutive years from 1940 to 1946. He was elected at the Ramgarh session in 1940. Due to the outbreak of the Second World War, the launch of the Quit India Movement in 1942, and the subsequent arrest of almost all top Congress leaders, no organizational elections or annual sessions could be held during this period. Consequently, Azad remained in office continuously until the next president was elected at the Meerut session in 1946, making him the longest-serving president of the Congress in the pre-independence era.

Explanation

Ibrahim Lodi was the last Sultan of Delhi, ruling the Delhi Sultanate from 1517 to 1526. He belonged to the Lodi dynasty. His reign, and the Delhi Sultanate as a whole, ended when he was defeated and killed by Babur in the First Battle of Panipat on April 21, 1526. This decisive battle led to the establishment of the Mughal Empire in India.

Explanation

The Zonal Councils are statutory bodies established under Part III of the States Re-organisation Act, 1956. Section 15 of this Act divided the country into five zones, namely the Northern, Central, Eastern, Western, and Southern zones, and set up a Zonal Council for each of these zones to promote interstate cooperation, coordinate on matters of common interest, and foster national integration.

Explanation

The Appellate Body of the World Trade Organization (WTOAB) was established in 1995 under Article 17 of the Understanding on Rules and Procedures Governing the Settlement of Disputes (DSU). It is a standing body composed of seven members that hears appeals from reports issued by panels in disputes brought by WTO members. Like its parent organization, the World Trade Organization, the Appellate Body has its permanent seat and headquarters located in Geneva, Switzerland.

Explanation

Akbar, the Mughal Emperor, introduced Din-i-Ilahi (meaning "Divine Faith") in 1582 CE. It was a syncretic religious and ethical system designed to merge the best elements of various religions practiced across his empire, primarily Hinduism and Islam, alongside influences from Christianity, Zoroastrianism, and Jainism. Akbar aimed to foster religious tolerance, mutual respect, and national integration among his diverse subjects, presenting this moral code to unite the empire under a single spiritual and philosophical umbrella.

Explanation

Paddy fields are a major anthropogenic source of methane (CH₄) in India. The cultivation of wet rice involves flooding the fields, which creates an anaerobic (oxygen-free) environment in the waterlogged soil. Under these conditions, methanogenic archaea (methanogens) decompose organic matter, producing methane as a byproduct. The gas is then released into the atmosphere primarily through the specialized gas-transport tissue (aerenchyma) of the rice plants, as well as via ebullition and diffusion from the water surface. Given the extensive scale of rice cultivation in India, paddy fields constitute one of the largest agricultural contributors to the country's methane emission profile.

Explanation

The National Institute of Ocean Technology (NIOT), headquartered in Chennai (formerly Madras), is the nodal agency in India responsible for the research, design, and development of Ocean Thermal Energy Conversion (OTEC) technologies. Under the Ministry of Earth Sciences, NIOT pioneered India's first experimental 1 MW floating OTEC plant project. The engineering, pre-commissioning tests, and technological integration for this ocean energy system were spearheaded and managed by the institute at Chennai.

Explanation

The protection of monuments and places and objects of national importance is not listed as a Fundamental Duty under Article 51A of the Indian Constitution. Instead, it is designated as a Directive Principle of State Policy under Article 49. This article obligates the State to protect every monument or place or object of artistic or historic interest, declared by or under law made by Parliament to be of national importance, from spoliation, disfigurement, destruction, removal, disposal, or export.

Explanation

Glucose, urea, and acetone are highly soluble in water because they can all form hydrogen bonds with water molecules. Glucose contains multiple polar hydroxyl groups (-OH) that readily participate in hydrogen bonding with water. Urea contains highly polar carbonyl (C=O) and amino (-NH₂) groups, which enable extensive hydrogen bonding. Acetone possesses a highly polar carbonyl group whose oxygen atom forms strong hydrogen bonds with the hydrogen atoms of water molecules, making it completely miscible in water.

Explanation

Maulana Abul Kalam Azad was elected as the President of the Indian National Congress during the special session held in Delhi in 1923. Born on November 11, 1888, he was only 35 years old at the time, which made him the youngest person to ever hold the office of the Congress President. He was a distinguished nationalist leader, an eminent scholar, and later served as the first Education Minister of independent India.

Explanation

The Open Network for Digital Commerce is an initiative of the Department for Promotion of Industry and Internal Trade, which functions under the Ministry of Commerce and Industry. Incorporated as a non-profit Section 8 company, this initiative is designed to democratize e-commerce in India by establishing open public digital infrastructure, moving digital commerce away from proprietary platform-centric models toward an open, interoperable network.

Explanation

The partition of Bengal, implemented by Viceroy Lord Curzon on October 16, 1905, divided the undivided Bengal Presidency into two new provinces.

One province was Eastern Bengal and Assam, which had its capital at Dacca and comprised Eastern Bengal along with Assam. The other province was Bengal, which retained its capital at Calcutta and comprised western Bengal, Bihar, and Orissa.

The western province is often colloquially referred to as West Bengal, but its official administrative name in 1905 was simply Bengal. The name West Bengal only came into official existence much later during the partition of India in 1947. Therefore, the two provinces that officially came into existence in 1905 were Eastern Bengal and Bengal.

Explanation

By set theory, the percentage of candidates who failed in at least one of the subjects is given by the union formula:

P(E ∪ M) = P(E) + P(M) - P(E ∩ M)

where P(E) is the percentage of candidates who failed in English (55%), P(M) is the percentage of candidates who failed in Mathematics (65%), and P(E ∩ M) is the percentage of candidates who failed in both subjects (24%).

Substituting the given values into the formula:

P(E ∪ M) = 55% + 65% - 24% = 96%

This means 96% of the candidates failed in at least one of the two subjects.

The percentage of candidates who passed in both subjects is the complement of this set, which represents those who did not fail in either subject:

Passed in both = 100% - P(E ∪ M) = 100% - 96% = 4%

Explanation

Jatindranath Mukherjee, widely known as Bagha Jatin, was the principal leader of the revolutionary Jugantar group, which actively collaborated with the Ghadar Party to execute an armed insurrection against British colonial rule during the First World War. Acting as the key coordinator for these revolutionary operations in the eastern region of India, Jatin revitalized links between various secret societies across Bengal and Orissa. Under the Indo-German Conspiracy, also known as the Zimmermann Plan, he arranged to import German arms and ammunition to launch a coordinated uprising. He met a heroic end following a legendary gunfight with British forces at Balasore on the Orissa coast in September 1915.

Explanation

In the Union Budget 2023-24, under the rupee goes to allocation of expenditure, interest payments constitute the single largest component of expenditure, accounting for 20 percent of the total budget. This is followed by the states share of taxes and duties at 18 percent, central sector schemes at 17 percent, and centrally sponsored schemes at 9 percent.

Explanation

The 'Khadi Fest-2022' Exhibition was inaugurated on October 3, 2022, in Mumbai by the Union Minister for Micro, Small and Medium Enterprises, Narayan Rane. Organized by the Khadi and Village Industries Commission (KVIC) on the occasion of Gandhi Jayanti, the exhibition ran until November 1, 2022. The event featured more than 70 stalls showcasing diverse apparel, handicrafts, and indigenous products from Prime Minister's Employment Generation Programme (PMEGP) units and traditional artisans from different regions of India, facilitating direct market access for rural craftspeople.

Explanation

The reaction represents the burning of magnesium in oxygen to form magnesium oxide. It is classified as a combination reaction because two reactants, magnesium and oxygen, combine to form a single new product, magnesium oxide. It is an oxidation reaction because magnesium gains oxygen to form magnesium oxide, with magnesium losing electrons to become oxidized. Additionally, it is an exothermic reaction because the chemical process releases energy in the form of heat and a dazzling white light, which is explicitly shown by the addition of energy on the product side of the equation. Therefore, all the described classifications apply to this reaction.

Explanation

Rajendra Chola I assumed the title of Gangaikonda Chola, meaning the conqueror of the Ganges, following his victorious military campaign to Northern India and the Ganges river basin. To commemorate this monumental achievement, he also founded a new capital city named Gangaikondacholapuram and constructed the majestic Gangaikondacholisvaram temple.

Explanation

According to global reports from organizations like the United States Department of Agriculture and the Food and Agriculture Organization, India possesses the largest live cattle inventory in the world, ranking first. India's total bovine population, which includes both dairy cattle and water buffaloes, stands at over 300 million head. This represents approximately 13% of the global cattle population and is followed by Brazil and China. India also dominates globally with the largest buffalo population, which is widely reared for dairy production, cementing its position at the top of world cattle and livestock rearing.

Explanation

The sequence of dates increases by an incrementing number of days.

The first difference between 18-07-2002 and 25-07-2002 is 7 days.

The second difference between 25-07-2002 and 02-08-2002 is 8 days, noting that July has 31 days.

The third difference between 02-08-2002 and 11-08-2002 is 9 days.

Following this pattern of adding an extra day to the previous interval, the next interval must be 10 days. Adding 10 days to 11-08-2002 results in 21-08-2002.

Explanation

The total number of teaching periods required in a day is the sum of the periods for all classes. There are 3 classes from VI to VIII (VI, VII, and VIII) and 2 classes from IX to X (IX and X).

The total daily periods are calculated as: Total periods = (3 classes x 6 periods/class) + (2 classes x 7 periods/class) Total periods = 18 + 14 = 32 periods

Let T be the number of teachers. Since each teacher can be assigned a maximum of 5 periods per day, the total capacity of T teachers is at most 5T periods. To satisfy the school requirement, we must have: 5T >= 32 T >= 32 / 5 T >= 6.4

Since the number of teachers must be a whole number, we round up to the next integer. Thus, the minimum number of teachers needed is 7.

Explanation

India adopted the concept of Five-Year Plans from the Soviet Union (USSR, represented as Russia in this context). The first Soviet Five-Year Plan was introduced by Joseph Stalin in 1928 to drive economic development and industrialization. Following independence, Indian leaders, particularly Jawaharlal Nehru, were deeply influenced by this socialist model of planning. Consequently, India established the Planning Commission in 1950 and launched its First Five-Year Plan in 1951 to guide national development through centralized economic planning.

Explanation

Ladakh is a high-altitude cold desert located in the rain shadow of the Himalayas, receiving very little annual precipitation. During the summer monsoon months, intense convective clouds (cumulonimbus) can form and lead to sudden, extremely heavy localized rainfall, known as cloudbursts. Due to the barren topography, lack of vegetation, and steep mountainous slopes of the Ladakh plateau, these cloudbursts rapidly trigger devastating flash floods, mudflows, and debris flows. A prime example is the catastrophic Leh cloudburst of August 2010, which caused widespread destruction and resulted in hundreds of fatalities, making cloudbursts the deadliest meteorological hazard on the Ladakh plateau.

Explanation

Under the Indian Constitution, the authority to impose reasonable restrictions on the Fundamental Rights, particularly those guaranteed under Article 19, is vested in the legislature, which is the Parliament. The Parliament can enact laws to restrict these rights on specific grounds explicitly mentioned in the Constitution, such as the sovereignty and integrity of India, security of the State, friendly relations with foreign States, public order, decency, or morality. While the judiciary has the power to review and determine the reasonableness of such restrictions, the actual power to impose them by law lies with the Parliament.

Explanation

The coding follows a direct letter-to-digit substitution. By comparing the given words with their corresponding codes:

From PARDON coded as 721890: P is 7, A is 2, R is 1, D is 8, O is 9, and N is 0.

From MERCY coded as 53164: M is 5, E is 3, R is 1, C is 6, and Y is 4.

Using these letter-to-digit mappings to code DEMOCRACY: D is 8 E is 3 M is 5 O is 9 C is 6 R is 1 A is 2 C is 6 Y is 4

Combining these digits in order gives 835961264.

Explanation

Under Article 266(1) of the Constitution of India, all revenues received by the Government of India, all loans raised by the government, and all money received by it in repayment of loans form the Consolidated Fund of India. Article 266(3) mandates that no money can be withdrawn or appropriated from this fund except under a law passed by the Parliament. Consequently, the government must obtain parliamentary authorization prior to making any expenditure from this fund, which is achieved through the passage of the annual Appropriation Bill.

Explanation

When a single drop of water breaks into two smaller drops, the total mass of the water remains conserved. Since water is an incompressible fluid, its density ρ remains constant throughout this physical process. Using the relationship between mass M, density ρ, and volume V:

M = ρ V

Because the total mass before splitting is equal to the sum of the masses of the two resulting drops (M = M₁ + M₂), the relationship can be written as:

ρ V = ρ V₁ + ρ V₂

Dividing both sides of the equation by the constant density ρ yields:

V = V₁ + V₂

This mathematical relation confirms that the sum of the volumes of the two smaller drops is equal to the volume of the original single drop.

Explanation

Sri Lanka gained independence from British colonial rule on February 4, 1948, as the Dominion of Ceylon. On February 4, 2023, the island nation marked its milestone 75th Independence Day anniversary with a national ceremony held at Galle Face Green in Colombo under the theme Namo Namo Matha - A Step towards a Century.

Explanation

China has developed an artificial moon research facility that can simulate the low-gravity conditions of the Moon. Located in the eastern city of Xuzhou in Jiangsu province, this facility uses powerful magnetic fields inside a vacuum chamber to counteract gravity, creating a low-gravity environment similar to the lunar surface. This allows scientists and engineers to test equipment, rovers, and technologies under sustained lunar conditions before they are deployed on actual space missions.

Explanation

Let the number of 200 rupee notes be x and the number of 100 rupee notes be y.

The total number of notes is given by the equation: x + y = 48

The total value of the notes is given by the equation: 200x + 100y = 6000

Dividing the value equation by 100 yields: 2x + y = 60

Subtracting the first equation from this result gives: (2x + y) - (x + y) = 60 - 48 x = 12

Explanation

Aurangzeb, the sixth Mughal emperor who ruled from 1658 to 1707, assumed the regnal title Alamgir upon ascending the throne. This title translates to Conqueror of the World in Persian. He is historically referred to as Alamgir I to distinguish him from a later eighteenth-century Mughal ruler, Alamgir II.

Explanation

The permanent secretariat of the Bay of Bengal Initiative for Multi-Sectoral Technical and Economic Cooperation (BIMSTEC) is located in Dhaka, Bangladesh. Officially inaugurated in September 2014, this headquarters serves as the central hub to coordinate, facilitate, and monitor the implementation of various cooperative activities and projects among the member nations of the Bay of Bengal region.

Explanation

In 1717, the Mughal Emperor Farrukhsiyar issued a royal farman to the British East India Company, which is often described as the Magna Carta of the Company in India. This imperial decree granted the Company valuable trade privileges and concessions, particularly in Bengal, Bihar, and Odisha, in exchange for a nominal annual payment of three thousand rupees. It exempted their import and export trade from additional customs duties and authorized them to issue dastaks (transit passes) for the movement of their goods. The farman also permitted the Company to rent more territory around Calcutta and allowed their coins minted at Bombay to circulate throughout the Mughal Empire, laying a strong foundation for their eventual political and economic dominance in the region.

Explanation

Aman rice is the primary winter rice crop cultivated in eastern India. It is sown during the onset of the South-West monsoon in June and July and is harvested during the winter season in November and December.

Explanation

To obtain the maximum possible equivalent resistance from a group of resistors, they must be connected in series. In a series combination, the total resistance is the algebraic sum of the individual resistances.

Using the formula for series resistance:

R_eq = R₁ + R₂ + R₃

Substituting the given values into the formula:

R_eq = 5 Ω + 4.5 Ω + 3 Ω = 12.5 Ω

This configuration yields the maximum potential resistance for the given components.

Explanation

Evaluating the first term 5 (7 2): For 7 2, since 7 > 2, we use the rule x y = x - y, which gives 7 - 2 = 5. This simplifies the term to 5 5. Since 5 = 5, we use the rule x y = 2x, which gives 2 × 5 = 10.

Evaluating the second term (5 7) 2: For 5 7, since 5 < 7, we use the rule x y = x + y, which gives 5 + 7 = 12. This simplifies the term to 12 2. Since 12 > 2, we use the rule x y = x - y, which gives 12 - 2 = 10.

Adding the two parts together gives 10 + 10 = 20.

Explanation

According to the Union Budget 2023-24, the food subsidy constitutes the largest portion of the central government's total subsidy allocation. Out of the total estimated subsidy expenditure of Rs 4,03,084 crore, the food subsidy is allocated Rs 1,97,350 crore, which accounts for approximately 49 percent of the total subsidy bill. This allocation represents the highest share of the central government subsidy budget.

Explanation

The term Congress, used in the Indian National Congress, was borrowed from North American history, where it originally connoted a formal assembly or gathering of people and delegates. During the American struggle for independence and the early federal era, the term represented a forum where representatives from various states met to deliberate. The founders of the Indian National Congress adopted this nomenclature to establish a similar, democratically organized parliament of the Indian people to discuss national issues and foster unity.

Explanation

The given expression is a telescoping product of terms:

(1 - ⅓)(1 - ¼)(1 - ⅕) … (1 - ¹⁄₉₉)(1 - ¹⁄₁₀₀)

Simplifying each fractional term inside the parentheses:

⅔ · ¾ · ⅘ … ⁹⁸⁄₉₉ · ⁹⁹⁄₁₀₀

In this sequence, the denominator of each fraction cancels out with the numerator of the succeeding fraction. After canceling the common terms (3, 4, 5, ..., 99) from the numerators and denominators, only the numerator of the first term (2) and the denominator of the last term (100) remain:

²⁄₁₀₀ = ¹⁄₅₀ = 0.02

Explanation

Public expenditure refers to the spending incurred by government authorities at the central, state, and local levels to meet administrative requirements, public welfare demands, and social utility needs. These expenses are directly funded through government budgets and public revenues.

In contrast, public companies or Public Sector Undertakings operate as autonomous commercial entities. Their investment spending is classified as corporate capital expenditure, which is typically financed through their own internal revenues, commercial borrowings, and extra-budgetary resources rather than being a direct budgetary outlay of the government.

Explanation

Jawaharlal Nehru met Gaidinliu in Shillong Jail in 1937 during his tour of Assam. Impressed by her remarkable courage, patriotism, and leadership in fighting against British rule in the Northeast at a very young age, he bestowed upon her the title of Rani (Queen) and referred to her as the daughter of the hills.

Explanation

When an aqueous solution of lead nitrate reacts with an aqueous solution of potassium iodide, a double displacement or precipitation reaction occurs.

The balanced chemical equation for this reaction is:

Pb(NO₃)₂(aq) + 2KI(aq) → PbI₂(s) + 2KNO₃(aq)

In this process, the lead ions (Pb²⁺) from lead nitrate combine with the iodide ions (I^-) from potassium iodide to form lead iodide, PbI₂. Because lead iodide is highly insoluble in water, it separates from the liquid as a bright yellow precipitate. The other product, potassium nitrate (KNO₃), is highly soluble in water and remains dissolved in the solution.

Explanation

The Government of Peru conferred the Order of Merit in the Diplomatic Service of Peru Jose Gregorio Paz Soldan upon Ardeshir B.K. Dubash in April 2022. He served as the Honorary Consul of Peru in Mumbai for nearly fifty years after being appointed to the post in 1973. This award represents the highest distinction given by the Ministry of Foreign Affairs of Peru and was presented to him in recognition of his extensive service in promoting consular, commercial, and cultural relations between Peru and India.

Explanation

The Central Coffee Research Institute is located in Balehonnur in the Chikmagalur district of Karnataka. Established in 1925, it functions under the Coffee Board of India to carry out research on various aspects of coffee cultivation, crop improvement, and disease management.

Explanation

Pulakeshin II, the most prominent ruler of the Chalukya dynasty of Vatapi, defeated the north Indian emperor Harshavardhana on the banks of the Narmada River around 618-619 CE. Harshavardhana sought to expand his kingdom southward into the Deccan, but his march was decisively halted by Pulakeshin II. This landmark military triumph is recorded in the famous Aihole inscription composed by the court poet Ravikirti, which describes how Harsha's joy (harsha) was melted away by fear upon his defeat.

Explanation

Bal Gangadhar Tilak introduced the Shivaji Festival in 1896 at the Raigad Fort to inspire nationalist sentiments, self-respect, and patriotic zeal among the youth of Maharashtra. Following the success of the public Ganapati Festival which he popularized in 1893, the Shivaji Festival served as a powerful platform to bypass British restrictions on political gatherings. Celebrating the legacy of Chhatrapati Shivaji Maharaj allowed Tilak to propagate ideas of Swaraj (self-rule) and mobilize mass support against colonial oppression.

Explanation

The Diamond Quadrilateral is a major project of the Indian Railways designed to establish a comprehensive high-speed rail network across India. Similar in concept to the Golden Quadrilateral highway project, it aims to connect India's four primary metropolitan megacities—Delhi, Mumbai, Chennai, and Kolkata—via superfast rail corridors. The initiative is planned to support trains running at speeds up to 320 km/h, significantly reducing travel times between these major economic and urban centers.

Explanation

Hicky's Bengal Gazette, also known as the Bengal Gazette, was the first newspaper published in India. It was founded by James Augustus Hicky, an Irishman, and the first weekly issue was printed on January 29, 1780, in Calcutta, which was then the capital of British India. The newspaper was a weekly English-language publication known for its independent and critical stance against the administration of the East India Company and the Governor-General, Warren Hastings.

Explanation

Let x be the number of correct answers. Since the student attempted all 75 questions, the number of incorrect answers is 75 - x.

Using the scoring system where each correct answer awards 2 marks and each incorrect answer deducts 1 mark, the total score relation is: 2x - 1(75 - x) = 45

Simplifying the equation: 3x - 75 = 45 3x = 120 x = 40

Explanation

Petroleum, oil, and lubricants (POL) represent the largest component of India's import bill. India is the world's third-largest consumer of crude oil and relies heavily on foreign supplies to meet its domestic demand, importing approximately 80% to 85% of its crude oil requirements. Because of this massive import dependency coupled with growing industrial, domestic, and transportation needs, expenditures on POL systematically command the highest share of the total valuation of imports entering the country.

Explanation

Andhra Pradesh has emerged as a significant hub for the food processing industry, driven by its rich agricultural and aqua produce, extensive coastline, and proactive state policies. The state has focused on establishing Mega Food Parks and attracting investments, particularly for value addition in horticulture and marine products, positioning it as one of the most developed states in this sector.

Explanation

Economic and social planning is placed under Entry 20 of the Concurrent List in the Seventh Schedule of the Constitution of India. This placement empowers both the Union Parliament and the State Legislatures to enact laws and formulate policies concerning the economic and social development of the nation.

Explanation

The 52nd Constitutional Amendment Act, passed in 1985, introduced the Anti-defection law in India to curb political defections. This amendment added the Tenth Schedule to the Constitution, which lays down the provisions for the disqualification of members of Parliament and State Legislatures on the grounds of defection from one political party to another.

Explanation

The permutation formula given is: Pᵣ = n(n-1)(n-2)…(n-r+1)

For r = 4, the expression represents the product of 4 consecutive descending integers: P₄ = n(n-1)(n-2)(n-3) = 5040

To find n, we factorize 5040 into a product of 4 consecutive positive integers: 5040 = 10 × 504 = 10 × 9 × 56 = 10 × 9 × 8 × 7

Comparing the two expressions: n(n-1)(n-2)(n-3) = 10 × 9 × 8 × 7

By matching the corresponding terms of the descending sequences, we get: n = 10

Explanation

The epic poem Amuktamalyada was composed in Telugu by Krishnadevaraya, the prominent ruler of the Vijayanagara Empire who reigned in the early sixteenth century. The title translates to "one who offered the garland after wearing it herself". The work describes the life and legendary marriage of Andal, a female Alvar poet-saint, to the Hindu deity Lord Ranganayaka, an avatar of Lord Vishnu, at Srirangam. Beyond its religious themes, the text is celebrated as a masterpiece of Telugu literature and serves as an important historical source, providing valuable details regarding the administrative, social, and political conditions of the Vijayanagara Empire during his reign.

Explanation

Myopia, commonly known as nearsightedness, occurs when the eyeball is too long from front to back, which is referred to as elongation or expansion of the eyeball. This physical elongation causes the light rays entering the eye from distant objects to converge and focus at a point in front of the retina rather than directly on its surface, leading to blurred distant vision.

Explanation

The first Buddhist Council was held in 483 BCE at the Sattapanni Cave in Rajagriha shortly after the Mahaparinirvana of Gautama Buddha. It was convened under the patronage of King Ajatashatru of the Haryanka dynasty and was presided over by the venerable monk Mahakassapa to preserve and codify the teachings of the Buddha into the Sutta Pitaka and the Vinaya Pitaka.

Explanation

Argentina's World Cup-winning captain Lionel Messi was named the BBC Sports Personality's World Sport Star of the Year for 2022. This prestigious award is presented annually to a non-British athlete who has achieved the most notable sporting success on the world stage during the course of the year. Messi led Argentina to their first FIFA World Cup title in 36 years at the 2022 tournament in Qatar, where he also earned the Golden Ball as the tournament's best player after scoring seven goals.

Explanation

Indian federation is not the result of an agreement among the federating units. As emphasized by Dr. B.R. Ambedkar in the Constituent Assembly, the Indian Union is not a federation of the American type, which was formed by an agreement between independent states. Because the Indian federation was not created through a contract or treaty among the states, no state has the right to secede from the Union, making it an indestructible Union of destructible states.

Explanation

Amir Khusrow, a Sufi poet, musician, and scholar of the Delhi Sultanate, is widely known as the Tuti-e-Hind or the Parrot of India. He received this title due to his exceptional eloquence, sweet-sounding poetry, and immense contribution to Hindavi and Persian literature. He is also regarded as the father of qawwali and is credited with the development of Hindustani classical music, including the invention of musical instruments like the sitar.

Explanation

The second session of the Indian National Congress held in Calcutta in December 1886 was a landmark event. It witnessed the merger of the Indian National Association (also known as the National Conference), founded by Surendranath Banerjee and Ananda Mohan Bose, with the Congress, which significantly strengthened the national movement. The session was presided over by the Grand Old Man of India, Dadabhai Naoroji. Furthermore, the prominent Indologist and scholar Rajendralal Mitra served as the President of the local Reception Committee, welcoming the delegates to Calcutta. All of these factors combined to give this session immense historical significance.

Explanation

The first cotton textile mill in India was established in 1818 at Fort Gloster, located near Kolkata (Ghusuri). Although this pioneering venture was a commercial failure and shut down soon after due to a shortage of raw materials and lack of proper infrastructure, it is historically recognized as the first attempt at establishing a mechanized cotton mill in the country. The first highly successful modern cotton mill, the Bombay Spinning and Weaving Company, was later established in Mumbai in 1854.

Explanation

The 39th session of the Indian National Congress, held in Belgaum in December 1924, was the first and only Congress session presided over by Mahatma Gandhi. At this session, a compromise was reached between the Swarajists and the No-Changers, ensuring that the Swaraj Party would work within the legislatures as an integral part of the Congress.

Explanation

Alauddin Khalji was the first Sultan of the Delhi Sultanate to systematically plan and organize military expeditions to conquer the Deccan. His initial campaign into the southern region took place in 1296 CE during his raid on Devagiri, even before he ascended the throne of Delhi. After becoming the Sultan, he sent his prominent military commander, Malik Kafur, to lead a series of successful campaigns into the Deccan between 1308 and 1311 CE. These expeditions targeted the Yadavas of Devagiri, the Kakatiyas of Warangal, the Hoysalas of Dwarasamudra, and the Pandyas of Madurai, establishing the suzerainty of the Delhi Sultanate over the region and bringing immense wealth to the imperial treasury.

Explanation

The National Educational Alliance for Technology (NEAT) 3.0 is a public-private partnership initiative implemented by the All India Council for Technical Education (AICTE) under the aegis of the Ministry of Education. It serves as a single platform to provide high-quality EdTech solutions, courses, and e-resources to students across the country. The initiative aims to bridge the digital divide and enhance employability by offering free coupons for technological courses to students from socially and economically disadvantaged backgrounds.

Explanation

International Customs Day is celebrated every year on January 26 to recognize the role of customs officials and agencies in maintaining border security and ensuring the smooth flow of international trade. This specific day marks the anniversary of the inaugural session of the Customs Cooperation Council, which was held on January 26, 1953, in Brussels, Belgium. The Customs Cooperation Council was later renamed the World Customs Organization in 1994.

Explanation

The Reserve Bank of India (RBI) established a dedicated Fin-Tech Department with effect from January 4, 2022. This department was created by subsuming the existing FinTech Division of the Department of Payment and Settlement Systems, Central Office. The primary objective of setting up this independent department is to give a focused approach to the dynamically changing financial landscape, facilitate constructive innovation in the fintech sector, identify associated challenges and opportunities, and provide a framework for further research that can aid timely policy interventions by the central bank.

Explanation

Ghiyasuddin Balban was the first Sultan of Delhi to formulate and systematically implement a comprehensive north-west frontier policy to counter the recurring threat of Mongol invasions. Recognizing the strategic vulnerability of the north-western border, Balban abandoned the policy of expansion and focused on defense consolidation. He built a chain of strong forts along the frontier, such as at Bhatinda, Sunam, and Samana, and repaired older garrisons. He deployed seasoned, highly trained troops in these frontier outposts and placed the region under the command of capable military commanders, including his own sons, Prince Muhammad and Prince Bughra Khan, along with his cousin Sher Khan. This proactive defensive strategy successfully checked Mongol incursions and protected the heart of the Delhi Sultanate.

Explanation

Kumaragupta I, a prominent ruler of the Gupta Dynasty who reigned in the fifth century CE, founded the Nalanda University in Bihar. Historical records, including the accounts of the Chinese traveler Xuanzang, refer to him as Shakraditya, the ruler who established this ancient Mahavihara. Under his patronage, the institution began its journey as a premier center of learning, eventually attracting scholars and students from all over Asia to study subjects ranging from Buddhist philosophy to mathematics, astronomy, and medicine.

Explanation

The ratio of the sides of the triangle is given as ¹⁄₂₀ : ¹⁄₁₅ : ¹⁄₁₂.

To simplify this ratio, we multiply each term by the least common multiple (LCM) of the denominators 20, 15, and 12, which is 60:

¹⁄₂₀ × 60 : ¹⁄₁₅ × 60 : ¹⁄₁₂ × 60 = 3 : 4 : 5

Let the lengths of the three sides of the triangle be 3x, 4x, and 5x.

The perimeter of the triangle is the sum of its sides: 3x + 4x + 5x = 30 12x = 30 x = ³⁰⁄₁₂ = 2.5 cms

The length of the biggest side corresponds to the largest ratio term 5: Length of the biggest side = 5 × 2.5 = 12.5 cms = 12½ cms

Explanation

The National Planning Committee was established in October 1938 by Subhas Chandra Bose during his tenure as the President of the Indian National Congress. In his presidential address at the Haripura session earlier that year, Bose strongly advocated for state-planned economic development and rapid industrialization to address poverty and modernize India. To materialize this vision, he convened a conference of Provincial Ministers of Industries in Delhi, which recommended the creation of a planning body. Bose subsequently constituted the National Planning Committee and appointed Jawaharlal Nehru as its Chairman.

Explanation

Under Article 368 of the Constitution of India, an amendment bill can be introduced in either House of Parliament. For the bill to be passed, it must be approved by each House separately by a special majority, which is a majority of the total membership of that House and a majority of not less than two-thirds of the members of that House present and voting. In case of disagreement between the two Houses, there is no provision for holding a joint sitting. Consequently, both the Lok Sabha and the Rajya Sabha possess equal and co-ordinate powers with respect to amending the Constitution.

Explanation

The Eastern Himalayan region of India, covering Sikkim, Arunachal Pradesh, and the hilly areas of West Bengal (such as Darjeeling and Kalimpong), is geographically and climatically highly favorable for citrus cultivation. It is renowned for the production of mandarin oranges, particularly the Darjeeling Mandarin and Sikkim Mandarin, which serve as major commercial cash crops. The region provides an ideal temperate-to-subtropical hill climate, well-drained loamy soil, and appropriate rainfall essential for the growth and high quality of these citrus fruits. Additionally, biogeographic and genomic studies indicate that the foothills of the Eastern Himalayas are the ancestral origin of all modern citrus species.

Explanation

The 83rd Constitutional Amendment Act, 2000, exempted Arunachal Pradesh from the reservation of seats for Scheduled Castes in Panchayati Raj institutions. This was incorporated by inserting a new clause (3A) in Article 243M of the Constitution of India, which exempts the state from the application of Article 243D regarding Scheduled Castes reservation.

The exemption was granted because Arunachal Pradesh is inhabited entirely by indigenous tribal communities, and there is no native Scheduled Caste population in the state. Since the state is free from the traditional caste system, there was no requirement for making provisions for Scheduled Castes reservations in its local self-governments, aligning the constitutional provisions with the demographic reality of the state.

Explanation

The India-Australia Economic Cooperation and Trade Agreement (Ind-Aus ECTA) was signed on April 2, 2022, and officially entered into force on December 29, 2022. This trade pact aims to significantly increase bilateral trade, ease market access by eliminating or reducing tariffs on a vast majority of goods, secure commitments on trade in services, and facilitate the movement of professionals and students between both nations.

Explanation

Magadha emerged as the most powerful of the sixteen Mahajanapadas and ultimately succeeded in founding a vast empire. Its rise to dominance was facilitated by advantageous geographical and strategic factors. The region was blessed with extremely fertile soil in the Gangetic plains, which ensured agricultural surplus to support a large standing army and administrative machinery. Magadha also possessed rich iron ore deposits in the nearby hills of Rajgir, which allowed for the manufacture of superior weapons and tools. The capital cities of Rajgir and Pataliputra were naturally fortified, surrounded by hills and rivers respectively, making them virtually impregnable. Under the leadership of ambitious and capable rulers such as Bimbisara, Ajatashatru, and later the Nanda and Maurya dynasties, Magadha systematically annexed neighboring territories, leading to the establishment of the Mauryan Empire, the first major pan-Indian empire.

Explanation

The total runs scored by the 5 batsmen can be calculated using the average formula: Total Runs = Average × Number of Batsmen = 35 × 5 = 175 So, we have the equation: A + B + C + D + E = 175

From the given conditions, we can express the runs of all other batsmen in terms of E's score: D = E + 5 A = E + 20 B = D + E = (E + 5) + E = 2E + 5 C = 75 - B = 75 - (2E + 5) = 70 - 2E

Substituting these expressions into the total runs equation: (E + 20) + (2E + 5) + (70 - 2E) + (E + 5) + E = 175 3E + 100 = 175 3E = 75 E = 25

Using this value of E, the runs scored by C are: C = 70 - 2(25) = 20

Explanation

Chandragupta Maurya is widely recognized as the first historical emperor of India. In 322 BCE, he established the Mauryan Empire, which succeeded in unifying the vast majority of the Indian subcontinent under a single centralized administration for the first time in history. His reign is supported by substantial historical evidence, including literary accounts like Chanakya's Arthashastra and Megasthenes' Indica, as well as epigraphical records, establishing a clear and chronologically secure political history of India. His empire stretched from the borders of modern-day Iran and Afghanistan in the northwest to the deep south and Bengal in the east.

Explanation

The Haldia Industrial Region in West Bengal is a major hub for heavy chemical and petrochemical industries. The region houses the Indian Oil Corporation Limited petroleum refinery, which was commissioned in 1975 and processes millions of tonnes of crude oil annually. Additionally, the region is highly significant for the production of chemical fertilizers. Major facilities like Indorama India Private Limited operate large plants here to manufacture key fertilizers such as Di-Ammonium Phosphate and NPK, making petroleum refining and chemical fertilizer production the primary industrial activities in the area.

Explanation

The Delhi government launched a comprehensive 15-point Winter Action Plan to address and curb severe air pollution in the national capital during the high-risk winter months. The plan focuses on several critical measures, including the control of dust pollution, preventing open waste burning, reducing vehicular emissions through strict vehicle checks, utilizing bio-decomposers to prevent stubble burning, and monitoring pollution levels closely at identified hotspots.

Explanation

Sir William Wedderburn served as the first chairman of the British Committee of the Indian National Congress, which was established in London in July 1889. The primary objective of this committee was to influence British public opinion and lobby members of the British Parliament regarding Indian political and administrative grievances, as the Government of India was ultimately responsible to the British Parliament. Under Wedderburn's leadership, the committee actively propagated Indian issues in the United Kingdom and launched the journal India in 1890 to further its campaign.

Explanation

Gibberellins are plant hormones that play a crucial role in breaking seed dormancy and promoting germination. Upon seed hydration, gibberellic acid is synthesized by the embryo and diffuses to the aleurone layer. This triggers the de novo synthesis of hydrolytic enzymes, most notably alpha-amylase, which hydrolyze the stored starch in the endosperm into simple soluble sugars. These sugars are then utilized as energy sources by the growing embryo, enabling it to emerge from dormancy and initiate seedling growth.

Explanation

Vegetative reproduction is a specialized form of asexual reproduction occurring exclusively in plants, where new offspring are generated from vegetative structures such as roots, stems, leaves, and buds, rather than from reproductive organs like flowers or seeds. This process occurs naturally through structures like tubers, rhizomes, runners, and bulbs, or artificially through methods like cutting, grafting, and layering. It allows plants to multiply rapidly and produce genetically identical clones of the parent plant without the requirement of fertilization, pollination, or spore formation.

Explanation

The Charter Act of 1853 separated, for the first time, the legislative and executive functions of the Governor-General's Council. It established a separate Indian Legislative Council by adding six new legislative councillors to the Council. This legislative wing functioned as a mini-parliament, adopting the parliamentary procedures of the British Parliament. By introducing this distinct legislative body with dedicated debating and law-making procedures, the Act laid the foundation for the parliamentary system of government in India.

Explanation

The 2023 IBA Women's World Boxing Championships (typographed as 18A) was hosted by India. The 13th edition of this global event took place in New Delhi from 15 to 26 March 2023 at the K.D. Jadhav Indoor Hall. India had previously hosted the women's world boxing tournament in 2006 and 2018.

Explanation

To find the value of f(-x), we substitute -x in place of x in the given function f(x) = 5ˣ + (1)/(5ˣ) + 2.

This yields: f(-x) = 5⁻ˣ + (1)/(5⁻ˣ⁾ + 2

Using the exponent rule a⁻ⁿ = (1)/(aⁿ), we can rewrite the terms as: 5⁻ˣ = (1)/(5ˣ) (1)/(5⁻ˣ⁾ = 5ˣ

Substituting these values back into the equation: f(-x) = (1)/(5ˣ) + 5ˣ + 2

By rearranging the terms, we get: f(-x) = 5ˣ + (1)/(5ˣ) + 2

This expression is identical to the original function, meaning f(-x) = f(x).

Explanation

The seventh day of the month is three days earlier than Friday, which is Tuesday.

To find the day on the nineteenth day of the month, we use the relationship:

Day₁₉ = Day₇ + (19 - 7) 7

Substituting the values:

Day₁₉ = Tuesday + 12 7

Since 12 divided by 7 leaves a remainder of 5, we add 5 odd days to Tuesday. Counting 5 days ahead from Tuesday results in Sunday.

Explanation

The atomic number Z of an element represents the number of protons in its nucleus and is calculated using the formula: Z = A - N where A is the mass number and N is the number of neutrons.

Substituting the given values into the formula: Z = 27 - 14 = 13

A neutral atom of this element has 13 protons and 13 electrons. When the atom forms an ion with a three positive charge (3+), it loses 3 electrons. The number of electrons in the tripositive ion is: Number of electrons = 13 - 3 = 10

Explanation

The first paper mill in India was established at Serampore (Srirampur) in the Hooghly district of West Bengal in 1812 by Dr. William Carey. This pioneering venture introduced mechanised papermaking to the region, utilizing steam engines for production. Although this initial attempt faced challenges due to limited local demand for paper, it laid the foundation for the development of India's modern paper manufacturing industry.

Explanation

For a floating body to be in stable equilibrium, the metacenter (M) must be above the center of gravity (G). If the center of buoyancy (B) is located above the center of gravity (G), it inherently contributes to a larger metacentric height, guaranteeing that the metacenter will be above the center of gravity, thus ensuring stable equilibrium. While stable equilibrium can also occur if B is below G (as is common for ships), having B above G makes the body inherently and more robustly stable.

Explanation

Quinary activities represent the highest and most advanced level of decision-making and policy-making in an economy. Often classified as a specialized subdivision of the tertiary sector, these activities focus on the creation, rearrangement, and interpretation of new and existing ideas, data evaluation, and the integration of highly advanced technologies. They include top-tier decision-makers such as senior government officials, corporate executives, research scientists, and financial or legal consultants. Characterized as gold-collar professions, quinary activities represent the most modern, highly specialized, and developed component of the service sector.

Explanation

Pherozeshah Mehta, K. T. Telang, and Badruddin Tyabji are collectively known as the Bombay Triumvirate. These three eminent lawyers and political leaders were instrumental in shaping the early nationalist politics of western India. In 1885, they established the Bombay Presidency Association to present Indian grievances and political aspirations to the British government. Their combined efforts and leadership laid a strong foundation for the moderate phase of the Indian national movement and contributed significantly to the formation and early direction of the Indian National Congress.

Explanation

The first cotton textile mill in India was established in 1818 at Fort Gloster near Kolkata, West Bengal. Although this initial venture was unsuccessful and closed down after some time, it represents the historic beginning of the modern cotton textile industry in the country. The first successful and modern cotton textile mill was later established in Bombay in 1854.

Explanation

Kanishka, the most prominent ruler of the Kushan Dynasty, established his primary capital at Purushpura, which is the modern-day city of Peshawar in Pakistan. It was chosen for its strategic location, which connected the major trade routes of Central Asia with the Indian subcontinent. Under Kanishka's patronage, Purushpura became a magnificent center of art, culture, and Buddhist learning, famously featuring the colossal Kanishka Stupa, which was one of the tallest buildings in the ancient world.

Explanation

The Muslim League, under the leadership of Muhammad Ali Jinnah, signed the Lucknow Pact with the Indian National Congress in 1916 during the First World War. This pact signified a significant political accord between the two major Indian political organizations, agreeing to joint demands for constitutional reforms from the British.

Explanation

Madan Lal Dhingra assassinated Sir William Hutt Curzon Wyllie, a political aide-de-camp to the Secretary of State for India, in London on July 1, 1909. In his final statement before the court, titled Challenge, Dhingra declared that his act was a humble revenge to protest against the brutal atrocities committed by the colonial British administration, specifically referencing the inhuman hangings and deportations of patriotic Indian youth who were fighting for India's freedom.

Explanation

Let the six seats around the hexagonal table be numbered 1 to 6 in a clockwise direction.

If we place A at position 1, B must be seated at the opposite position 4.

Since A (1) is between E and F, E and F must occupy positions 2 and 6. Similarly, since B (4) is between C and D, C and D must occupy positions 3 and 5.

Assuming all individuals are facing inwards toward the center of the table, the seat to the immediate left of position 3 is position 2, and the seat to the immediate left of position 5 is position 4. Since E is to the left of D, and position 4 is already occupied by B, D cannot be at position 5. Therefore, D must be at position 3, placing E at position 2.

Consequently, C occupies position 5 and F occupies position 6. This gives the clockwise seating arrangement as A at 1, E at 2, D at 3, B at 4, C at 5, and F at 6.

In this arrangement, the pairs facing opposite each other are A (1) and B (4), E (2) and C (5), and D (3) and F (6). Thus, C and E are facing each other.

Explanation

The Constituent Assembly of India was constituted in November 1946 under the provisions of the Cabinet Mission Plan. The members representing the British Indian provinces were elected indirectly by the members of the Provincial Legislative Assemblies. These provincial assemblies, which had been elected under the limited franchise of the Government of India Act, 1935, chose the representatives of the Constituent Assembly using the system of proportional representation by means of a single transferable vote.

Explanation

India possesses the largest postal network in the world, making it rank first globally. Operated by the Department of Posts under the Ministry of Communications, the Indian postal system, commonly known as India Post, features over 1,55,000 post offices spanning across the vast geographic expanse of the country, with nearly 90 percent of these offices located in rural areas. This extensive network ensures that an average post office serves an area of approximately 21.23 square kilometers, providing crucial communication, financial, and retail services even to the most remote corners of the nation.

Explanation

The Faraizi movement was founded by Haji Shariatullah in 1818 in East Bengal. The movement aimed at purifying Islam by urging Muslims to discard un-Islamic customs and strictly adhere to their obligatory religious duties, known as fard. Over time, it also evolved into a socio-economic struggle that protected local peasants and tenants against the oppression and illegal levies imposed by landlords and British indigo planters.

Explanation

Mihirakula, also known as Mihirgula, was a powerful ruler of the Alchon Huns, commonly referred to in ancient Indian texts as the Hunas. He succeeded his father, Toramana, in the early sixth century CE and established his capital at Sakala, which is modern-day Sialkot. Historical accounts, including the Gwalior stone inscription, the travelogues of the Chinese pilgrim Xuanzang, and the writings of Kosmas Indikopleustes, document his reign and describe him as a formidable military leader. He was a follower of Shaivism and is noted for his conflicts with contemporary Indian rulers, ultimately being defeated by Yashodharman of Malwa and Narasimhagupta of the Gupta Empire.

Explanation

The Commission for the sub-categorisation of Other Backward Classes (OBCs) was constituted in October 2017 under Article 340 of the Constitution of India. It was headed by Justice G. Rohini, a retired Chief Justice of the Delhi High Court. The primary mandate of the commission was to examine the extent of inequitable distribution of reservation benefits among the various castes and communities included in the Central List of OBCs, and to present a scientific approach and parameters for their sub-categorisation. The commission completed its task and submitted its final report to the President of India in July 2023.

Explanation

The Silver Revolution in India refers to the period of rapid growth and significant increase in the production of eggs and poultry. Initiated to enhance nutritional security and boost rural incomes, this movement was driven by the adoption of modern poultry farming techniques, improved veterinary healthcare, and genetic research to develop high-yielding hybrid varieties of chickens. Dr. B.V. Rao, often regarded as the Father of the Indian Poultry Industry, played a pioneering role in this transformation, helping India transition from backyard poultry farming to a highly organized and technologically advanced commercial industry.

Explanation

The comparatively low production of processed dairy products in India is a result of several combined socio-economic and structural factors.

First, there is an exceptionally high domestic demand for fresh liquid milk for daily consumption in tea, coffee, and direct drinking. This absorbs the vast majority of the raw milk supply, leaving a smaller portion available for conversion into secondary dairy products.

Second, a large section of the population has low purchasing power, which limits the market size and consumer demand for more expensive, value-added commercial dairy products like packaged cheese, butter, and cream.

Third, the average productivity of Indian livestock is low because a significant portion of the milch cattle is lean and undernourished, suffering from a lack of quality fodder and feed. This restricts the overall milk yield per animal and limits the surplus milk available for the dairy processing industry.

Explanation

Cotton is the primary and most widely cultivated natural textile fibre crop in India. It plays a dominant role in the country's agricultural and industrial economy, serving as the essential raw material for the large-scale domestic textile industry. India ranks among the top global producers of cotton, with the crop being extensively grown as a kharif crop in the black clayey soils (regur soil) of the Deccan plateau, particularly across states such as Gujarat, Maharashtra, and Telangana.

Explanation

Under Article 266(1) of the Constitution of India, the Consolidated Fund of India is established as the primary account for all government financial transactions. It receives all revenues raised by the Union government, which includes direct and indirect taxes like income tax, customs, and GST. Additionally, all loans raised by the government through treasury bills, public loans, or ways and means advances, as well as all moneys received by the government in repayment of loans previously given out, are credited directly to this fund. No money can be withdrawn from this fund without parliamentary authorization through an Appropriation Act.

Explanation

Sodium hydrogen carbonate (NaHCO₃) is the primary constituent of baking soda. In baking, it is mixed with a mild, edible acid, such as tartaric acid, to form baking powder. This acidic component is necessary because heating sodium hydrogen carbonate alone produces sodium carbonate, which is alkaline and imparts a bitter taste to baked goods. The addition of tartaric acid neutralizes the sodium carbonate, producing a pleasant-tasting sodium tartrate salt, carbon dioxide, and water. The carbon dioxide gas released during this chemical reaction gets trapped in the wet dough, allowing cakes and breads to rise and become soft and spongy.

Explanation

When a solid body is heated, all of its linear dimensions increase proportionally. This thermal expansion behaves like a photographic enlargement, where every feature of the object scales up by the same factor.

The volume of the spherical cavity is defined by the formula:

V = ⁴⁄₃ π R³

where R is the radius of the cavity. Upon heating, the radius of the cavity increases according to the linear expansion relation:

R_f = Rᵢ (1 + α Δ T)

In this equation, Rᵢ is the initial radius, R_f is the final radius, α is the coefficient of linear expansion of the metal, and Δ T is the increase in temperature. Because the coefficient of linear expansion is positive for metals, the radius of the cavity increases. This causes the volume of the cavity to expand according to the volumetric expansion formula:

V_f = Vᵢ (1 + 3α Δ T)

Explanation

The Nanaghat cave inscription in Maharashtra is a crucial historical source for the early Satavahana dynasty. The inscription was commissioned by Queen Naganika, the widow of the Satavahana king Satakarni I. It serves as a eulogy detailing the military achievements, conquests, and religious contributions of Satakarni I. It specifically records his performance of major Vedic sacrifices, including two Ashvamedha sacrifices and a Rajasuya sacrifice, alongside details of the extensive donations made to Brahmins during these rituals, establishing his status as a powerful sovereign of Dakshinapatha.

Explanation

The Adaptation Gap Report is an annual flagship publication released by the United Nations Environment Programme (UNEP). The 2022 edition, titled Too Little, Too Slow: Climate adaptation failure puts world at risk, provides a science-based assessment of global progress on climate change adaptation planning, finance, and implementation. The report highlights the widening gap between the financial resources required for adaptation in developing nations and the actual international public adaptation finance flows.

Explanation

The Gender Recognition Reform (Scotland) Bill was passed by the Scottish Parliament on December 22, 2022. The legislation aimed to streamline and simplify the process for transgender individuals to obtain a Gender Recognition Certificate by lowering the minimum age to apply from 18 to 16, eliminating the requirement for a medical diagnosis of gender dysphoria, and reducing the time an applicant must live in their acquired gender before receiving legal recognition.

Explanation

Dadabhai Naoroji, widely known as the Grand Old Man of India, became the first British Indian to be elected to the British House of Commons in the 1892 general election. He contested and won the seat for the Finsbury Central constituency as a member of the Liberal Party. During his time in the British Parliament, he consistently raised his voice against the economic exploitation of India and championed the cause of Indian self-governance and welfare.

Explanation

The revolutionary leader Rasbehari Bose was the primary mastermind behind the Delhi-Lahore Conspiracy of December 1912, which aimed to assassinate the Viceroy of India, Lord Hardinge. The assassination attempt took place during a grand ceremonial procession through Chandni Chowk in Delhi to celebrate the transfer of the imperial capital from Calcutta to Delhi. Although a bomb was thrown at the Viceroy, he survived with injuries. Following the attack, Rasbehari Bose managed to evade the British intelligence and police, eventually fleeing to Japan, where he continued his revolutionary activities and later laid the foundation of the Indian Independence League.

Explanation

P is the mother of X, and X is the wife of Z. Since X is the wife of Z, Z is the husband of X. The mother of a person's spouse is their mother-in-law. Since P is the mother of Z's wife, P is the mother-in-law of Z.

Explanation

The analogy represents an action and the negative state or situation that the action reverses or resolves. To rectify is to correct or remedy a mistake. In the same way, to regain is to recover or get back a loss.

Explanation

The suprarenal glands, also known as the adrenal glands, are crucial endocrine glands located superior to the kidneys. Each suprarenal gland is structurally and functionally divided into two main regions: the outer cortex and the inner medulla. The adrenal cortex is responsible for synthesizing and secreting corticosteroid hormones, which include both mineralocorticoids and glucocorticoids. Meanwhile, the adrenal medulla synthesizes and secretes catecholamines, primarily adrenaline. Therefore, the term suprarenal gland represents the anatomical organ that produces and encompasses all the other listed hormones.

Explanation

During the fiscal year 2022-23, the Goods and Services Tax (GST) emerged as the single largest source of tax revenue for the Government of India. According to the Union Budget actuals, the total GST collections reached approximately Rs 8,49,132 crore. This surpassed all other major revenue categories, including Personal Income Tax, which stood at Rs 8,33,233 crore, Corporation Tax at Rs 8,25,834 crore, and Customs Duty at Rs 2,13,372 crore. Robust economic recovery, improved compliance measures, and systemic tax administration reforms drove the high GST collections during this period.

Explanation

Kumarasambhavam is a celebrated epic Sanskrit poem composed by Kalidasa, widely regarded as one of India's greatest classical poets and dramatists. The title translates to the birth of Kumara, also known as Kartikeya, the god of war and the son of Shiva and Parvati. The narrative beautifully depicts the courtship of Shiva and Parvati, their union, and the subsequent birth of their son, who was destined to defeat the demon Taraka. The work is classified as a Mahakavya (court epic) and is renowned for its rich imagery, lyrical beauty, and masterful use of classical Sanskrit meters and aesthetic theory.

Explanation

The BMPT Terminator, which stands for Boyevaya Mashina Podderzhki Tankov (Tank Support Fighting Vehicle), is a heavily armed and armored post-Cold War combat vehicle designed and manufactured by the Russian company Uralvagonzavod. Russia developed this vehicle based on combat experiences gained during the Soviet-Afghan War and the First Chechen War, where conventional main battle tanks proved highly vulnerable to close-range infantry attacks in urban and mountainous environments. Built primarily on the chassis of the T-72 main battle tank, the BMPT is equipped with a versatile array of weaponry—including dual 30 mm autocannons, Ataka anti-tank guided missile launchers, automatic grenade launchers, and a coaxial machine gun—specifically designed to suppress and destroy enemy infantry and anti-tank weapon systems, thereby providing dedicated close protection to advancing armor units.

Explanation

Initially, all five boys start with 10 cards each, meaning the initial distribution is A = 10, B = 10, C = 10, D = 10, and E = 10.

When E borrows 3 cards from A, A loses 3 cards and E gains 3 cards, resulting in A having 10 - 3 = 7 cards and E having 10 + 3 = 13 cards.

Next, E gives away 5 cards to C. This reduces E's count to 13 - 5 = 8 cards and increases C's count to 10 + 5 = 15 cards.

Then, C gives 4 cards to B. C is left with 15 - 4 = 11 cards while B's count increases to 10 + 4 = 14 cards.

Finally, B passes 2 cards to D. This leaves B with 14 - 2 = 12 cards and increases D's total to 10 + 2 = 12 cards.

Explanation

When the bird is sitting, the spring balance measures the total weight of the cage and the bird. When the bird flies inside the cage, it needs to push air downwards to generate lift equal to its weight. This downward force on the air is transmitted to the cage walls and floor as the air is contained within the cage. Therefore, the total downward force on the spring balance remains the same as the sum of the weights of the cage and the bird.

Explanation

In July 2022, Nepal's parliament passed the country's first Citizenship Amendment Bill, which sought to amend the Nepal Citizenship Act 2006. The legislation addressed long-standing issues by paving the way for hundreds of thousands of individuals, especially in the Terai region, to obtain citizenship certificates. Under the amendment, children of parents who acquired Nepali citizenship by birth became eligible to secure citizenship by descent. Additionally, it introduced provisions allowing Non-Resident Nepalis to acquire dual citizenship, granting them economic, social, and cultural rights while excluding political and voting rights. The bill was officially authenticated and enacted by the President of Nepal in May 2023.

Explanation

Nabagopal Mitra, widely remembered by his nickname National Mitra, was a central figure of the Bengal Renaissance and an early proponent of nationalism. In the latter half of the 19th century, he established a series of institutions with the prefix National to instill a sense of self-reliance and patriotism. These included the National Paper in 1865, the National Society and National Gymnasium in 1866, and the National School in 1872. Along with his contemporaries, he also organized the historic Hindu Mela in 1867 to foster physical culture, indigenous industries, and nationalist sentiment among the youth.

Explanation

The Man-Land ratio, also referred to as the Land-Man ratio, represents the geographical and demographic relationship between the total land area of a country or region and its total population. It is mathematically expressed as:

Land-Man Ratio = (Total Land Area)/(Total Population)

This ratio is a vital measure in geography and demography used to assess the availability of land resources per capita. It indicates the density of population and helps in understanding the level of population pressure on land resources, supporting carrying capacity assessments, regional planning, and resource management.

Explanation

The First Battle of Panipat was fought on April 21, 1526, between Babur, the ruler of Kabul, and Ibrahim Lodi, the Sultan of Delhi. Babur's forces successfully defeated Ibrahim Lodi's army through the innovative use of field artillery and tactical formations like the tulughma, leading to the death of Ibrahim Lodi on the battlefield. This landmark victory marked the end of the Delhi Sultanate and initiated the establishment of the Mughal Empire in India.

Explanation

Ballarpur, located in the Chandrapur district of Maharashtra, is widely recognized as the largest center of the paper industry in India. It hosts the flagship manufacturing unit of Ballarpur Industries Limited, which is the country's leading producer of writing, printing, and coated paper. The region's extensive forest cover provides an abundant supply of bamboo and hardwood, which serve as the primary raw materials for pulp and paper manufacturing in this industrial hub.

Explanation

Sikandar Shah, the second sultan of the Ilyas Shahi dynasty of Bengal, commissioned the construction of the Adina Mosque in Hazrat Pandua. Completed around 1373 AD, this monumental structure was built to project the imperial power of the Bengal Sultanate after his victories over the Delhi Sultanate. The mosque is celebrated for its vast dimensions, a grand central courtyard, and the Badshah-ka-Takht, which was a raised royal gallery designed specifically for the sultan and his immediate entourage.

Explanation

The efficiency of a Carnot engine (η) is given by the formula:

η = 1 - (T₂)/(T₁)

where T₁ represents the temperature of the source and T₂ represents the temperature of the sink in Kelvin.

Converting the given temperatures from Celsius to Kelvin:

T₁ = 227 °C = 227 + 273 = 500 K

T₂ = 27 °C = 27 + 273 = 300 K

Substituting these values into the efficiency equation:

η = 1 - 300/500 = 1 - 0.6 = 0.4

Converting this fractional efficiency to a percentage:

η = 0.4 × 100% = 40%

Explanation

During the S (Synthesis) phase of interphase in the cell cycle, DNA replication takes place. This process results in the duplication of the genetic material, doubling the amount of DNA in the cell from 2C to 4C, while the chromosome number remains the same. This preparation ensures that each daughter cell receives an identical set of chromosomes during subsequent cell division.

Explanation

The period from 1951 to 1981 is classified in Indian demography as the phase of population explosion, characterized by a rapid decline in death rates due to advancements in medical facilities and public health, while birth rates remained consistently high. Within this broader era, the period of 1961 to 1981 represents the peak of this demographic surge, during which the annual population growth rate remained exceptionally high at approximately 2.2 percent, and the decadal growth rate peaked at 24.8 percent in 1971 and 24.66 percent in 1981.

Explanation

Sir Syed Ahmed Khan founded the Muhammadan Anglo-Oriental College at Aligarh in 1875. He was a visionary social reformer and educator who aimed to uplift the Muslim community in India by promoting modern scientific education and learning. The college was established to integrate Western curriculum and scientific temper with Islamic values. It later paved the way for the Aligarh Movement, which championed educational advancement, and eventually grew to become the Aligarh Muslim University in 1920.

Explanation

Grants received by the government, such as those from foreign governments or international bodies, are classified as revenue receipts. Revenue receipts are those flows of funds that do not create any future liability for the government nor do they lead to a reduction in its assets. Since grants do not have to be repaid and do not involve the liquidation of any state assets, they are categorized under non-tax revenue receipts rather than capital receipts.

Explanation

The number of moles of a substance is determined using the formula:

Number of moles = (Given mass)/(Molar mass)

The total number of molecules is calculated as:

Number of molecules = Number of moles × Nₐ

where Nₐ is Avogadro's number.

For water (H₂O), the molar mass is 18 g/mol. The number of moles in 9 g of water is:

Moles of H₂O = ⁹⁄₁₈ = 0.5 mol

The number of molecules n is given by:

n = 0.5 × Nₐ ⟹ Nₐ = 2n

For carbon dioxide (CO₂), the molar mass is 44 g/mol. The number of moles in 44 g of carbon dioxide is:

Moles of CO₂ = ⁴⁴⁄₄₄ = 1 mol

The number of molecules present in 44 g of carbon dioxide is:

Number of molecules = 1 × Nₐ = Nₐ

Substituting the value of Nₐ from the first relation, the number of molecules is 2n.

Explanation

According to Newlands' law of octaves, when elements are arranged in increasing order of their atomic masses, the properties of every eighth element are a repetition of the properties of the first element, similar to the octaves of music. Starting from beryllium as the first element, the eighth element in the sequence is magnesium. Therefore, beryllium resembles magnesium in its physical and chemical properties.

Explanation

Switzerland Tourism appointed India's Olympic and World Championship gold medalist javelin thrower, Neeraj Chopra, as its Friendship Ambassador in November 2022. In this role, he highlights and promotes Switzerland's scenic outdoors, adventure sports, and diverse travel experiences to Indian travelers. This collaboration leverages his immense global popularity and affinity for sports and outdoor adventure to showcase destinations like Interlaken, Geneva, and Zermatt.