The correct answer is Small Intestine.

Key Points

• The small intestine is the primary site for the final chemical digestion of food and the absorption of roughly 90 percent of nutrients into the body.
• It is structurally divided into three segments: the duodenum, where most chemical digestion occurs, followed by the jejunum and ileum, which are specialized for the absorption of nutrients.
• The inner walls of the small intestine are lined with millions of tiny, finger-like projections called villi and even smaller microvilli, which form a brush border to maximize the surface area for efficient nutrient uptake.
• Through these structures, essential molecules such as monosaccharides, amino acids, fatty acids, and glycerol pass into the bloodstream or lacteals for distribution throughout the body.

 Additional Information

• Stomach
• Functions as a storage organ where gastric juices like hydrochloric acid and pepsin begin the breakdown of proteins.
• While critical for digestion, it only absorbs a few substances like alcohol, water, and certain lipid-soluble drugs.
• Large Intestine
• Mainly responsible for the absorption of water and electrolytes from indigestible food residues.
• It houses a vast microbiome that synthesizes Vitamin K and B-vitamins, which are absorbed here before waste is excreted.
• Oesophagus
• A muscular tube that uses rhythmic contractions known as peristalsis to transport food from the pharynx to the stomach.
• It does not participate in the digestion or absorption of nutrients.

The correct answer is 24%.

Key Points

• During the early 1980s, the Indian economy underwent a structural shift where the Central Government began experiencing persistent revenue deficits, forcing it to rely heavily on market borrowings.
• Interest payments are a major component of Non-Plan Revenue Expenditure, representing the contractual obligation of the government to service its accumulated internal and external debt.
• According to fiscal data from the Ministry of Finance and the Sixth Five Year Plan (1980-85) documents, interest payments climbed significantly to account for approximately 24% of the government's total expenditure.
• The rise to 24% was driven by the increasing cost of domestic borrowing and the impact of high-interest rates prevailing in the global economy following the Second Oil Shock of 1979.
• This high level of expenditure on debt servicing created a pre-emption of resources, meaning a large chunk of tax revenue was diverted away from developmental capital projects and social welfare schemes.

 Additional Information

• Internal Debt and Liabilities:
• This includes market loans, treasury bills, and small savings schemes where the government borrows from the public and financial institutions within the country.
• In the early 1980s, internal debt grew rapidly as the government sought to fund infrastructure projects and subsidies.
• Debt Trap Concerns:
• A debt trap occurs when a government is forced to borrow more just to pay the interest on existing loans. The 24% figure was a warning sign of the fiscal crisis that eventually peaked in 1991.
• Fiscal Deficit:
• The fiscal deficit is the total borrowing requirement of the government. In the 1980s, the Gross Fiscal Deficit of the Center rose from 5.4% of GDP in 1980-81 to over 8% by the end of the decade.
• External Debt Servicing:
• During this period, India also serviced loans from the International Monetary Fund (IMF) and the World Bank, which were sensitive to exchange rate fluctuations.

The correct answer is High seepage losses and irregular supply.

Key Points

• Alluvial plains, such as the Indo-Gangetic Plain, consist of highly permeable sediments like sand, silt, and gravel, which naturally facilitate high rates of water percolation.
• During the pre-monsoon season, which occurs from March to June in most tropical regions, groundwater tables drop to their lowest levels, and surface water discharge in rivers reaches a minimum.
• Seepage losses are a critical inefficiency in these regions because conveyance systems like unlined canals or earth-based channels allow a significant portion of water to leak into the sub-surface aquifers before reaching industrial clusters.
• The irregularity of supply stems from the seasonal variability of river flow; without the monsoon recharge, surface reservoirs and perennial rivers often lack the hydraulic pressure required for consistent distribution.
• For manufacturing industries, this limitation necessitates the installation of expensive deep-bore wells or water storage tanks to maintain operational continuity during periods of low flow.

 Additional Information

• Hydrogeological Characteristics:
• Hydraulic Conductivity: In alluvial deposits, the high connectivity of pores allows water to move rapidly, making unlined infrastructure highly inefficient.
• Specific Yield: These plains have a high specific yield, meaning they can store and release large volumes of water, but they are also prone to over-extraction during dry months.
• Climatic Constraints:
• Evapotranspiration: High ambient temperatures during the pre-monsoon period accelerate the loss of water from open conveyance channels and reservoirs.
• Lean Period: This is the time when industrial demand peaks for cooling systems, but the natural replenishment of water sources is at its lowest.
• Industrial Mitigation:
• To counter seepage, modern systems utilize Geosynthetic Clay Liners or High-Density Polyethylene (HDPE) piping to ensure conveyance efficiency.

The correct answer is 9.

Key Points

• Article 9 of the Indian Constitution states that if a person voluntarily acquires the citizenship of any foreign State, they shall no longer be a citizen of India.
• This provision applies to individuals who might otherwise claim citizenship under Article 5 (citizenship at commencement), Article 6 (migrants from Pakistan), or Article 8 (persons of Indian origin residing abroad).
• The inclusion of this article underscores the principle of Single Citizenship, which is a fundamental feature of the Indian federal structure, preventing dual nationality.
• The authority to determine whether, when, and how a person has acquired foreign citizenship is vested in the Central Government, as per the rules laid down in the Citizenship Act, 1955.

 Additional Information

• Citizenship in India is governed by Part II of the Constitution, spanning from Article 5 to Article 11.
• Article 4: Relates to laws made under Articles 2 and 3 to provide for the amendment of the First and Fourth Schedules and supplemental, incidental, and consequential matters.
• Article 6: Deals with the citizenship rights of certain persons who migrated to India from Pakistan before July 19, 1948.
• Article 7: Addresses the citizenship rights of persons who migrated to Pakistan after March 1, 1947, but later returned to India under a permit for resettlement.
• Article 11: Grants the Parliament of India the power to make any provision with respect to the acquisition and termination of citizenship and all other matters relating to citizenship.
• The Citizenship Act, 1955, provides for the acquisition of citizenship by birth, descent, registration, naturalization, and incorporation of territory.

The correct answer is Chandrayaan-3.

Key Points

• National Space Day is observed annually in India on August 23 to honor the monumental success of the Chandrayaan-3 mission.
• The mission achieved a historic soft landing of the Vikram lander on the lunar surface on August 23, 2023, making India the first country to reach the Lunar South Pole region.
• The landing site was officially named Shiv Shakti Point by the Government of India to signify the connection between humanitarian resolve and scientific endeavor.
• The Indian Space Research Organisation (ISRO) successfully deployed the Pragyan Rover, which performed chemical analysis of the lunar soil using its LIBS and APXS instruments.
• India is now part of an elite group of four nations, including the United States, Russia, and China, to have successfully landed a spacecraft on the Moon.

 Additional Information

• Chandrayaan-1:
• Launched on October 22, 2008, using the PSLV-C11 rocket, it was India’s first interplanetary mission.
• It is credited with the groundbreaking discovery of water molecules on the Moon through the Moon Mineralogy Mapper instrument.
• Chandrayaan-2:
• Launched in July 2019, it consisted of an Orbiter, Lander (Vikram), and Rover (Pragyan).
• Although the lander suffered a hard landing, the Orbiter remains operational and continues to map the lunar surface with high-resolution cameras.
• Chandrayaan-4:
• This is a planned future mission focused on Lunar Sample Return, aiming to collect soil samples and return them to Earth.
• It involves a collaboration between ISRO and JAXA (Japan) under the Lunar Polar Exploration (LUPEX) project.

The correct answer is July 2025.

Key Points

• The Delhi Government officially operationalized the Health Information Management System (HIMS) in July 2025, marking a significant milestone in the digital transformation of the capital's public healthcare sector.
• The primary objective of this launch was to enable online OPD bookings, thereby minimizing the necessity for patients to wait in physical queues at registration counters in government hospitals.
• By integrating the Ayushman Bharat Health Account (ABHA) ID, the system ensures that every patient has a unique, verifiable digital identity that consolidates their medical history for easier access by clinicians.
• The HIMS project covers a vast network of medical facilities, including over 38 multi-specialty hospitals, numerous Mohalla Clinics, and Polyclinics across Delhi.
• The system is built on a cloud-based platform, allowing for the real-time tracking of bed availability, medicine stocks, and patient diagnostic reports across the entire state healthcare infrastructure.

 Additional Information

• Health Information Management System (HIMS):
• It is an integrated healthcare management framework that automates administrative and clinical workflows, including patient admissions, billing, and pharmacy management.
• The platform supports the distribution of Delhi Health Cards, which act as a digital gateway for residents to receive secondary and tertiary medical care.
• Ayushman Bharat Health Account (ABHA):
• Implemented by the National Health Authority (NHA), the ABHA ID consists of a 14-digit identification number that enables secure storage and sharing of digital health records.
• It is a key component of the Ayushman Bharat Digital Mission (ABDM), designed to create a seamless interoperable health ecosystem in India.
• Impact on Public Health Administration:
• The digitization provides the Directorate General of Health Services (DGHS) with accurate data for resource allocation and epidemic monitoring.
• It enhances transparency in the public health delivery system by ensuring that healthcare services are accessible through a centralized web portal and mobile application.

The correct answer is Operation Polo.

Key Points

• Hyderabad was the largest and most prosperous princely state in India at the time of independence in 1947. Its ruler, Nizam Mir Osman Ali Khan, initially refused to join the Indian Union, hoping to maintain an independent state or join Pakistan.
• The Standstill Agreement signed in November 1947 failed to resolve tensions, as the Nizam expanded his military and supported the Razakars, a radical private militia led by Qasim Razvi, who committed atrocities against the local population.
• The Indian government, under the leadership of Home Minister Sardar Vallabhbhai Patel, decided to take military action, which was code-named Operation Polo (reportedly named after the 17 polo grounds in Hyderabad).
• The operation commenced on September 13, 1948, led by Major General J.N. Chaudhuri. The Indian forces entered from five directions and effectively neutralized the Hyderabad State Forces within 100 hours.
• The Nizam announced a ceasefire on September 17, 1948, and formally surrendered, leading to the complete integration of Hyderabad into India.

 Additional Information

• Operation Vijay
• In 1961, this operation was launched to liberate Goa, Daman, and Diu from 450 years of Portuguese colonial rule.
• The term was also used during the 1999 Kargil War to describe the military action to evict Pakistani infiltrators from the Kargil sector of Jammu and Kashmir.
• Operation Meghdoot
• Launched on April 13, 1984, this was a strategic military operation to seize control of the Siachen Glacier.
• It resulted in India gaining control over the entire 70-kilometer long glacier and all its tributary glaciers.
• Operation Pawan
• Conducted in 1987 by the Indian Peace Keeping Force (IPKF) to take control of Jaffna from the LTTE (Liberation Tigers of Tamil Eelam).
• It was part of India’s intervention in the Sri Lankan Civil War following the Indo-Sri Lanka Accord.

The correct answer is Batool Begum, for promoting Sadbhavana through devotional bhajans.

Key Points

• Batool Begum, a distinguished folk singer from Jaipur, Rajasthan, was honored with the Padma Shri in 2025 for her exceptional service in the field of Arts.
• She is widely recognized for her role in fostering communal harmony or Sadbhavana by performing Hindu devotional bhajans and Sufi songs, effectively bridging cultural and religious divides.
• Her expertise lies in the Maand singing style, a complex and traditional folk music genre of Rajasthan, which she has helped preserve and promote on national and international stages.
• The Padma Awards, which include Padma Vibhushan, Padma Bhushan, and Padma Shri, are among the highest civilian honors in India, announced annually on the eve of Republic Day.

 Additional Information

• The following individuals represent diverse fields of excellence recognized by the government:
• Gokul Chandra Das: A veteran musician from West Bengal honored for popularizing the Dhak, a traditional percussion instrument that is central to the state’s Durga Puja cultural identity.
• Harvinder Singh: An accomplished para-archer who brought international glory to India; his recognition highlights the government’s focus on Sports and inclusivity in the Padma Awards.
• Libia Lobo Sardesai: A courageous freedom fighter who played a critical role in the Goa Liberation Movement by operating the clandestine Voice of Liberty radio station.
• The Padma Shri is awarded for 'distinguished service' in any field and is the fourth-highest civilian award in the Republic of India.

The correct answer is Leander Paes.

Key Points

• Leander Paes achieved a historic milestone by winning the bronze medal in the Men's Singles tennis event at the 1996 Atlanta Summer Olympics.
• This victory was significant as it ended a 44-year long wait for an individual Olympic medal for India, the last one being earned by K.D. Jadhav in wrestling at the 1952 Helsinki Olympics.
• Paes entered the tournament as a wildcard entry, ranked 126th in the world, and progressed through the rounds to face the top-seeded Andre Agassi in the semi-finals.
• In the bronze medal match, he defeated Fernando Meligeni of Brazil with a score of 3-6, 6-2, 6-4 to secure his place on the podium.
• His performance remains the only Olympic medal India has ever won in the sport of tennis to date.

 Additional Information

• Mahesh Bhupathi:
• He was the first Indian to win a Grand Slam title, specifically the mixed doubles at the 1997 French Open.
• Partnered with Leander Paes to reach the World No. 1 ranking in men's doubles and reached the finals of all four Grand Slams in 1999.
• Rohan Bopanna:
• An elite doubles specialist who won the 2024 Australian Open Men's Doubles title at the age of 43, becoming the oldest Grand Slam champion in the Open Era.
• He also won the 2017 French Open mixed doubles title and achieved the World No. 1 ranking in doubles in early 2024.
• Sumit Nagal:
• A prominent contemporary Indian singles player who reached a career-high ranking inside the Top 75 in 2024.
• He made history by becoming the first Indian since Leander Paes to win a singles match at the Olympics, achieving this during the Tokyo 2020 Games.

The correct answer is Ericsson, Qualcomm, Cisco, Nokia.

Key Points

• In August 2024 (referenced as a strategic cycle through 2025), Bharat Sanchar Nigam Limited (BSNL) and the National Telecommunications Institute for Policy Research, Innovation and Training (NTIPRIT) signed multiple Memorandums of Understanding (MoUs) with leading global technology firms.
• The partnership specifically involves Ericsson, Qualcomm, Cisco, and Nokia to provide high-level technical training and skill development for the Indian telecom workforce.
• The primary objective of these collaborations is to bridge the skill gap in emerging technologies such as 5G, 6G, Artificial Intelligence (AI), Internet of Things (IoT), and Cybersecurity.
• This initiative aims to transform NTIPRIT into a world-class center of excellence for digital training, supporting the Government of India’s vision for a technologically advanced and self-reliant telecom sector.
• These organizations provide access to their proprietary platforms and labs to offer hands-on experience to engineers and professionals, ensuring the digital workforce is prepared for global standards.

 Additional Information

• Detailed overview of the partner organizations:
• Ericsson: A Swedish multinational company that is a major provider of 5G network infrastructure and software services globally.
• Nokia: A Finnish multinational telecommunications and information technology company known for its extensive contributions to radio access network (RAN) technologies.
• Qualcomm: An American semiconductor and wireless technology giant that leads in chipset development and 5G mobile platform innovations.
• Cisco: An American technology conglomerate specializing in networking hardware, software, and high-security digital infrastructure solutions.
• The Department of Telecommunications (DoT) facilitates these MoUs to ensure that BSNL personnel and other government officials stay updated with rapid technological shifts, supporting the National Digital Communications Policy.

The correct answer is Tribunals function independently and are not subject to judicial oversight..

Key Points

• Tribunals are quasi-judicial bodies that generally consist of a mix of judicial members (often retired judges) and administrative or technical members who possess expertise in specific domains like tax, environment, or administration. Hence, statement 1 is correct.
• The Supreme Court, in the landmark case of L. Chandra Kumar vs. Union of India (1997), held that the decisions of tribunals are subject to the judicial review of High Courts under Article 226/227 and the Supreme Court under Article 136. Hence, statement 2 is correct.
• Tribunals do not function in isolation; they are part of the broader legal framework and their orders are strictly subject to judicial oversight to prevent arbitrariness and ensure the rule of law. Hence, statement 3 is incorrect.
• The 42nd Constitutional Amendment Act of 1976, based on the recommendations of the Swaran Singh Committee, introduced Part XIV-A into the Constitution of India, which includes provisions for establishing tribunals. Hence, statement 4 is correct.

 Additional Information

• Constitutional Framework:
• Article 323A: This article deals with Administrative Tribunals, which handle disputes regarding the recruitment and service conditions of persons in public services.
• Article 323B: This article empowers Parliament and State Legislatures to establish tribunals for other specific matters such as taxation, land reforms, foreign exchange, and labor disputes.
• Procedure: Unlike civil courts, tribunals are not strictly bound by the Code of Civil Procedure, 1908, but are guided by the principles of natural justice.
• Objective: The primary goal of establishing tribunals is to reduce the burden on regular courts and provide speedy, expert-driven adjudication.

The correct answer is Jute and cotton textiles.

Key Points

• At the time of independence in 1947, India's industrial sector was significantly underdeveloped, characterized by a narrow base primarily consisting of agro-based industries.
• The cotton textile industry was one of the two pillars of the industrial landscape, largely concentrated in the western regions of Maharashtra and Gujarat, specifically in cities like Bombay and Ahmedabad.
• The jute industry served as the other major pillar, with a heavy concentration in Bengal, particularly clustered along the Hooghly River due to proximity to jute cultivation and water transport.
• While cotton mills were mostly controlled by Indian entrepreneurs, the jute mills were predominantly owned and managed by British capital during the colonial era.
• These industries were primarily consumer goods-oriented, reflecting the colonial economic policy that hindered the growth of a robust capital goods sector in India.

 Additional Information

• Tata Iron and Steel Company (TISCO): Although heavy industry was scarce, TISCO was a notable exception, incorporated in 1907 and beginning production in 1912 at Sakchi (now Jamshedpur).
• Impact of Partition: The 1947 partition dealt a severe blow to the jute industry as the majority of the jute-producing land went to East Pakistan, while the processing mills remained in India.
• Lack of Diversification: Sectors like automobiles, electronics, and heavy engineering only began to receive significant state support after the Second Five-Year Plan (1956-61), which prioritized heavy and basic industries.
• Colonial Economic Motive: The British discouraged the development of competitive manufacturing to ensure India remained a market for finished goods and a supplier of raw materials.

The correct answer is Rajesh Unni.

Key Points

• The National Maritime Varuna Award is the most prestigious honor in the Indian maritime sector, presented annually to recognize individuals for their exceptional and sustained contributions to the industry.
• In April 2025, the award was conferred upon Rajesh Unni, the founder and CEO of Synergy Marine Group, during the 62nd National Maritime Day celebrations.
• The recognition highlights his transformative leadership in ship management, his commitment to seafarer welfare, and his role in advancing technological innovation within the global maritime community.
• Under his guidance, Synergy Marine Group has emerged as one of the world’s leading ship managers, prioritizing decarbonization and digitalization in maritime operations.
• The award ceremony is part of National Maritime Day, which commemorates the first voyage of an Indian vessel, the SS Loyalty, in 1919.

 Additional Information

• National Maritime Day:
• Celebrated every year on April 5th to emphasize the importance of maritime trade and the maritime industry’s role in India’s economic growth.
• Duvvur Nageshwar Reddy:
• A prominent Indian gastroenterologist and Chairman of the Asian Institute of Gastroenterology; he is a recipient of the Padma Bhushan for his work in medical science.
• M. T. Vasudevan Nair:
• A legendary Malayalam writer and director, honored with the Jnanpith Award and Padma Bhushan for his monumental contributions to Indian literature and cinema.
• Kailash Nath Dikshit:
• An esteemed archaeologist known for his leadership in the Indian Archaeological Society and his research on the Harappan Civilization.

The correct answer is Section 6(1).

Key Points

• Section 6(1) of the Citizenship Act, 1955 provides the statutory mechanism for the acquisition of Indian citizenship by naturalisation for persons who are not illegal migrants.
• The Central Government may, on an application, grant a certificate of naturalisation to any person of full age and capacity who satisfies the qualifications specified in the Third Schedule of the Act.
• The residency requirements include staying in India or serving the Government of India for the entire twelve months immediately preceding the date of application.
• The applicant must have resided in India or been in government service for a total period of at least eleven years during the fourteen years preceding that twelve-month period.
• Statutory qualifications also require the applicant to be of good character and possess an adequate knowledge of at least one language listed in the Eighth Schedule to the Constitution of India.
• The Central Government has the discretion to waive residency conditions if the individual has rendered distinguished service to science, philosophy, art, literature, world peace, or human progress.

 Additional Information

• Section 5: Citizenship by Registration
• Section 5(1)(a): Applies to persons of Indian origin who are ordinarily resident in India for seven years before making an application.
• Section 5(1)(g): Covers persons who have been registered as an Overseas Citizen of India (OCI) Cardholder for five years and have been residing in India for one year before applying.
• Section 7: Citizenship by Incorporation of Territory
• This section applies when a new territory becomes part of India (e.g., Pondicherry). The Central Government issues an order specifying which persons of that territory shall be citizens.

The correct answer is 41 consonants and 11 vowels.

Key Points

• The Assamese script, according to the Central Institute of Indian Languages (CIIL), consists of a total of 52 characters, categorized into 11 vowels and 41 consonants.
• The 11 vowels (Swarabarna) are অ (a), আ (aa), ই (i), ঈ (ii), উ (u), ঊ (uu), ঋ (ri), এ (e), ঐ (oi), ও (o), and ঔ (ou). These symbols represent the vocalic sounds in the written system, although the spoken language primarily uses 8 phonemic vowels.
• The 41 consonants (Byanjanbarna) include the traditional varga consonants and additional letters such as ৰ (ra) and ৱ (wa), which are unique identifiers for the Assamese script compared to other Eastern Indo-Aryan scripts.
• This classification by CIIL serves as the standard for linguistic research, pedagogy, and the development of digital typography for the Asomiya language.

 Additional Information

• Assamese Language and Script:
• Historical Origin: The script evolved from the Kamrupi script, a descendant of the Gupta script, which itself originated from the ancient Brahmi script.
• Standardization: The Central Institute of Indian Languages, established in 1969 in Mysore, is responsible for the protection and documentation of Indian languages under the Ministry of Education.
• Geographical Spread: It is the official language of Assam and is widely used across North-East India, including parts of Arunachal Pradesh and Nagaland.
• Unique Graphemes: The inclusion of specific consonants like 'Ra' and 'Wa' is a critical distinction that separates the Assamese orthographic tradition from the Bengali alphabet.

The correct answer is Sahyadri Hills.

Key Points

• The Western Ghats, also known as the Sahyadri in Maharashtra and Karnataka, is a continuous mountain range that runs parallel to the western coast of the Indian peninsula.
• It stretches approximately 1,600 km starting from the Tapi River valley in the north to Kanyakumari in the south, covering the states of Gujarat, Maharashtra, Goa, Karnataka, Kerala, and Tamil Nadu.
• The Sahyadri range comprises the northern portion, specifically in Maharashtra, where the average elevation is about 1,200 meters.
• This region is recognized as a UNESCO World Heritage Site and is one of the world's eight hottest hotspots of biological diversity.
• The Western Ghats are older than the Himalayas and influence Indian monsoon weather patterns by acting as a barrier to moisture-laden south-west monsoon winds.

 Additional Information

• Nilgiri Hills
• Commonly known as the Blue Mountains, these hills are located at the junction where the Western Ghats and Eastern Ghats meet in Tamil Nadu.
• The highest point in this range is Doddabetta, which stands at an elevation of 2,637 meters.
• Annamalai Hills
• Located south of the Palghat Gap along the border of Kerala and Tamil Nadu.
• It houses Anamudi, the highest peak in South India and the Western Ghats, with an altitude of 2,695 meters.
• Cardamom Hills
• They form the southernmost part of the Western Ghats in southeast Kerala and southwest Tamil Nadu.
• The name is derived from the cardamom spice grown extensively in the cool, elevated climate of this region.

The correct answer is Promoting literacy in the digital era.

Key Points

• International Literacy Day (ILD) is observed globally on 8 September every year to remind the international community of the importance of literacy for individuals, communities, and societies.
• The specific theme for International Literacy Day 2025 is 'Promoting literacy in the digital era', which focuses on the intersection of traditional literacy and digital transformation.
• This theme highlights the need to equip learners with digital competencies alongside basic reading and writing skills to navigate the 21st-century information landscape effectively.
• The 2025 observance emphasizes bridging the digital divide, ensuring that technological advancements in Information and Communication Technology (ICT) do not leave marginalized populations behind.
• It calls for the integration of Artificial Intelligence (AI) and digital tools into literacy programs to enhance educational accessibility and foster lifelong learning opportunities for all.

 Additional Information

• Historical Background:
• UNESCO officially proclaimed 8 September as International Literacy Day during its 14th General Conference in 1966.
• The first International Literacy Day was celebrated in 1967, following the World Conference of Ministers of Education on the Eradication of Illiteracy held in Tehran in 1965.
• Sustainable Development Goals (SDG):
• Literacy is a fundamental pillar of SDG 4, which aims to ensure inclusive and equitable quality education.
• Specifically, Target 4.6 aims to ensure that all youth and a substantial proportion of adults, both men and women, achieve literacy and numeracy by 2030.
• Global Literacy Statistics:
• According to UNESCO data, at least 763 million youth and adults worldwide lacked basic literacy skills as of recent assessments, with a significant portion residing in Southern Asia and Sub-Saharan Africa.
• The UNESCO International Literacy Prizes, such as the King Sejong Literacy Prize, are awarded annually to recognize excellence and innovation in the field.

The correct answer is W.C. Bonnerjee.

Key Points

• Womesh Chandra Bonnerjee, a prominent barrister from Bengal, was elected as the first President of the Indian National Congress (INC).
• The first session of the INC was held from December 28 to December 31, 1885, marking the birth of a formal organized national movement in India.
• The venue for this inaugural meeting was Gokuldas Tejpal Sanskrit College located in Bombay (now Mumbai).
• While the session was originally scheduled to be held in Poona, it was relocated to Bombay due to the sudden outbreak of a cholera epidemic in Poona.
• The session was attended by 72 delegates who represented various regions of the country, discussing political and social reforms under the British administration.
• The formation of the Congress was significantly facilitated by Allan Octavian Hume (A.O. Hume), a retired British civil servant, who served as the first General Secretary.

 Additional Information

• Dadabhai Naoroji:
• Popularly known as the Grand Old Man of India, he formulated the Drain Theory in his book Poverty and Un-British Rule in India.
• He presided over the second session of the INC in Calcutta (1886) and was the first Indian elected to the British House of Commons.
• Surendranath Banerjee:
• A prominent leader who founded the Indian National Association and played a major role in the Swadeshi Movement.
• He presided over the INC sessions held in Poona (1895) and Ahmedabad (1902).
• Sucheta Kripalani:
• A noted Gandhian and freedom fighter who participated in the Quit India Movement.
• She holds the distinction of being the first woman Chief Minister of an Indian state, serving Uttar Pradesh from 1963 to 1967.
• Lord Dufferin:
• He served as the Viceroy of India from 1884 to 1888 and was in office during the establishment of the Indian National Congress.

The correct answer is kg.

Key Points

• The kilogram (symbol: kg) is designated as the SI base unit for mass within the International System of Units.
• Historically, the kilogram was defined as the mass of one cubic decimetre (one litre) of pure water at the temperature of melting ice.
• Since May 20, 2019, the General Conference on Weights and Measures (CGPM) redefined the kilogram based on the Planck constant (h), which is fixed at 6.62607015 × 10⁻³⁴ joule-seconds (J&s).
• This modern definition ensures long-term stability by tying the unit to a fundamental physical constant rather than a physical artifact like the International Prototype of the Kilogram (IPK), a platinum-iridium cylinder stored in France.

 Additional Information

• Gram (g):
• A metric unit of mass defined as 1/1,000 of a kilogram.
• It was the fundamental unit of mass in the CGS (centimetre-gram-second) system of units before the global adoption of MKS (metre-kilogram-second).
• Ton (Metric Tonne):
• A non-SI unit of mass accepted for use with the SI system, equal to 1,000 kg or 1 Megagram.
• It is primarily used in global trade, shipping, and heavy industrial applications.
• Pound (lb):
• A unit of mass predominantly used in the British Imperial and United States customary systems.
• The international avoirdupois pound is defined as exactly 0.45359237 kilograms.

The correct answer is Starlink.

Key Points

• In March 2025, Bharti Airtel entered into a strategic Memorandum of Understanding (MoU) with SpaceX to integrate Starlink satellite-based broadband services into its connectivity portfolio for the Indian market.
• The partnership focuses on delivering high-speed, low-latency internet to underserved and geographically challenging regions, utilizing SpaceX's extensive Low Earth Orbit (LEO) satellite constellation.
• Unlike traditional Geostationary (GEO) satellites that orbit at approximately 35,786 km, Starlink satellites operate at an altitude of roughly 550 km, which significantly reduces latency to below 30 milliseconds.
• The collaboration aligns with the Telecommunications Act 2023, which facilitates the administrative allocation of spectrum for satellite-based communication services in India, removing the need for traditional auctions for such technologies.
• This move allows Bharti Airtel to strengthen its enterprise and rural consumer offerings, complementing its existing 5G and fiber infrastructure with a robust space-based backhaul solution.

 Additional Information

• Starlink Technology:
• Developed by Elon Musk's SpaceX, it uses advanced phased array antennas and optical laser links to provide global broadband coverage.
• The system is designed to provide direct-to-cell capabilities and emergency SOS services in collaboration with global telecom carriers.
• Other Satellite Projects:
• OneWeb: A LEO constellation now part of Eutelsat OneWeb, in which Bharti Group is a major investor, focusing primarily on B2B and government sectors.
• Kuiper: Amazon's Project Kuiper is a planned LEO constellation of 3,236 satellites aimed at providing mass-market broadband.
• O3b mPOWER: A high-throughput Medium Earth Orbit (MEO) system operated by SES, known for providing multi-gigabit connectivity to telcos and governments.

Family Chart:

Symbol Reference:

Given: M − O + N @ G % K

It means: M is the brother of O, O is the son of N, N is the wife of G, and G is the father of K.

M is brother of K. 

Hence, the correct answer is “Option 3”.

BODMAS Table: 

Given equation: 38 - 9 ÷ 57 + 312 × 12 = ?

Now, replacing the symbols:

⇒ 38 × 9 + 57 - 312 ÷ 12 = ?

⇒ 38 × 9 + 57 - 312 ÷ 12 = ?

⇒ 342 + 57 - 312 ÷ 12 = ?

⇒ 342 + 57 - 312 ÷ 12 = ?

⇒ 342 + 57 - 26 = ?

⇒ 342 + 57 - 26 = ?

⇒ 399 - 26 = ?

⇒ 373.

Hence, the correct answer is "Option 1".

Given series:

(Left) # H V @ $ 9 1 % 2 3 Z E N A @ # $ 6 4 A B (Right)

Condition to be checked:

All the symbols are dropped from the series and find the fourth element from the right.

Series after removing all symbols:

(Left) H V 9 1 2 3 Z E N A 6 4 A B (Right)

Counting from the right:

The fourth element from the right is 6.

Hence, the correct answer is "Option 2".

Given: # : SVU :: PSR : %

(1) # = UXY , % = MQN → UXY : SVU :: PSR : MQN

(2) # = VYZ , % = MON → VYZ : SVU :: PSR : MON

(3) # = VYX , % = MPO → VYX : SVU :: PSR : MPO

(4) # = UZX , % = LQN → UZX : SVU :: PSR : LQN

Hence, the correct answer is “Option 3”.

Logic followed here is.

Logic: (First number × Third number) × 2 = Second number

For (18, 324, 9) →

(18 × 9) × 2 = 162 × 2 = 324

For (21, 462, 11) →

(21 × 11) × 2 = 231 × 2 = 462

Similarly, let us check the options:

For (17, 408, 12) →

(17 × 12) × 2 = 204 × 2 = 408

Hence, the correct answer is “Option 1”.

The logic followed here is:

Logic: (First Number + Second Number) × 5 = Third Number

For (9, 4, 65)

9 + 4 = 13

Third Number = 13 × 5 = 65

For (15, 14, 145)

15 + 14 = 29

Third Number = 29 × 5 = 145

Similarly, let's check the options:

Option (1): (19, 7, 130)

19 + 7 = 26

Third Number = 26 × 5 = 130

Hence, the correct answer is “Option 1”.

Given: (Left) TOR HOG PIG OAF (Right)

First word from the right = OAF

Second letter of OAF = A

Second word from the left = HOG

Third letter of HOG = G

Now, in the English alphabetical order:

A, B, C, D, E, F, G

Letters between A and G = B, C, D, E, F

Number of letters between A and G = 5

Hence, the correct answer is “Option 2”.

T, A, R, G, U and S live on six different floors of the same building. The lowermost floor in the building is numbered 1, the floor above it, number 2 and so on till the topmost floor is numbered 6.

1. Only two people live between G and U.
2. Only two people live between A and S.
3. Only one person lives between R and S.
4. R lives on floor numbered 1.
5. G lives above S.

The final arrangement is as follows:

Two people live above T.

Hence, the correct answer is “Option 4”.

Mirror image of given figure,

Hence, the correct answer is “Option 3”.

The pattern observed is:

36 + 5 = 41

41 + 5 = 46

46 + 5 = 51

51 + 5 = 56

56 + 5 = 61

Hence, the correct answer is “Option 2”.

Given: ACT  SUN  INK  ILL

First word from the left = ACT

Second letter of ACT = C

First word from the right = ILL

Second letter of ILL = L

Now, find the number of letters between C and L in the English alphabetical series.

C, D, E, F, G, H, I, J, K, L

Number of letters between C and L = 8

Hence, the correct answer is “Option 1”.

Original Number: 3865217

The number thus formed is 4646028.

Highest digit = 8

Lowest digit = 0

Difference = 8 − 0 = 8

Hence, the correct answer is “Option 4”.

Given: (Left) 245 568 354 691 724 (Right)

Highest number = 724

Third digit of the highest number = 4

Lowest number = 245

Third digit of the lowest number = 5

Now, 4 × 5 = 20

Hence, the correct answer is "Option 3".

Given:

'MARKET' is coded as '321645'  

'TARGET' is coded as '126695'. 

Hence, the correct answer is “Option 3”.

(1) KI - OM

(2) EC - IG

(3) PN - TR

(4) OM - SR

Hence, the correct answer is “Option 4”.

V, I, E, T, N, A and M are sitting around a circular table facing the centre of the table.

1. A sits fourth to the right of E.
2. Only two people sit between I and T when counted from the left of I.
3. M sits third to the left of N.
4. V is an immediate neighbor of N and T. 

Four person sit between A and V when counted from the left of V.

Hence, the correct answer is “Option 2”.

For BC − GH

For IJ − NO

For XY − EF

For LM − QR

Therefore, the odd letter cluster pair is XY − EF.

Hence, the correct answer is “Option 3”.

Given:

Shlok ranked 15th from the top.

Shlok ranked 29th from the bottom.

Total Students = (Rank from Top) + (Rank from Bottom) - 1

Number of students in the class = 15 + 29 - 1

= 44 - 1

= 43 students.

Hence, the correct answer is "Option 2".

Pattern followed here is,

Hence, the correct answer is “Option 1”.

The logic followed here is:

For XHLR to TKHU

For PNDX to LQZA

The common pattern is a repeated alternate letter shift of −4 and +3 for each successive letter in the sequence.

Logic for HTVD to DWRG

Applying the pattern −4, +3, −4, +3 to the letters of HTVD, we get DWRG.

Hence, the correct answer is 'Option 3'.

Shortcut Trick

Half-yearly Rate = 20% ÷ 2 = 10% (or 0.1 in decimal).

For the 1^st investment (Jan to Dec = 2 periods): Interest = 2711 × [(1 + 0.1)² − 1] = 2711 × 0.21.

For the 2^nd investment (July to Dec = 1 period): Interest = 2711 × 0.10.

Total Interest = 2711 × (0.21 + 0.10) = 2711 × 0.31 = 840.41.

∴ The correct answer is ₹840.41.

Alternate Method

Given:

Principal (P) = ₹2711, Annual Rate (R) = 20%, Compounding = Half-yearly.

Formula Used:

Compound Interest (CI) = P × [(1 + r/100)ⁿ − 1]

Calculations:

⇒ Half-yearly rate (r) = 20% ÷ 2 = 10%.

⇒ 1^st sum duration (Jan 1 to Dec 31) = 12 months = 2 half-yearly periods.

⇒ Interest on 1^st sum = 2711 × [(1 + 10/100)² − 1]

⇒ Interest on 1^st sum = 2711 × [(1.1)² − 1] = 2711 × 0.21 = ₹569.31.

⇒ 2^nd sum duration (July 1 to Dec 31) = 6 months = 1 half-yearly period.

⇒ Interest on 2^nd sum = 2711 × [(1 + 10/100)¹ − 1]

⇒ Interest on 2^nd sum = 2711 × 0.10 = ₹271.10.

⇒ Total Interest = 569.31 + 271.10 = ₹840.41.

∴ The correct answer is ₹840.41.

Additional Information

Effective Annual Rate (EAR)

The EAR is the actual interest rate earned due to compounding. For a nominal rate R compounded n times a year, EAR = (1 + R/n)ⁿ − 1.

Compounding Frequency

As the compounding frequency increases (e.g., from half-yearly to quarterly to monthly), the total interest earned on the same principal and nominal rate also increases.

CI vs SI Difference

The difference between Compound Interest and Simple Interest for two periods is given by P × (r/100)², where r is the rate per period.

Given:

The monthly sales (in units) of five products A, B, C, D, and E from June to October are as follows:

Formula Used:

Total Sales = Sum of individual sales of specified products in specified months.

Calculation:

From the data table, we extract the required values:

⇒ Sales of Product A in June = 450 units

⇒ Sales of Product B in July = 450 units

⇒ Sales of Product C in August = 500 units

⇒ Sales of Product D in August = 450 units

⇒ Sales of Product E in October = 450 units

Now, calculate the total sales:

⇒ Total Sales = 450 + 450 + 500 + 450 + 450

⇒ Total Sales = 900 + 500 + 900

⇒ Total Sales = 1400 + 900

⇒ Total Sales = 2300 units

∴ The correct answer is 2300.

Shortcut Trick

The Mean Proportional (M) squared is equal to the product of the two numbers (a and b).

M² = a × b

28² = P × 49

784 = 49 × P

P = 784 ÷ 49 = 16

∴ The correct answer is 16.

Alternate Method

Given: First number = P, Second number = 49, Mean Proportional = 28.

Formula Used: If x is the mean proportional between a and b, then a : x = x : b, which implies x = √(a × b).

⇒ Mean Proportional = √(P × 49)

⇒ 28 = √(P × 49)

⇒ Squaring both sides: 28² = P × 49

⇒ 784 = 49 × P

⇒ P = 784 ÷ 49

⇒ P = 16

∴ The correct answer is 16.

Additional Information

Third Proportional

If three numbers a, b, and c are in continued proportion (a:b :: b:c), then c = b² ÷ a is called the third proportional.

Fourth Proportional

If four numbers a, b, c, and d are in proportion (a:b :: c:d), then d = (b × c) ÷ a is called the fourth proportional.

Invertendo Property

If a : b = c : d, then b : a = d : c. This is used to simplify ratios by reciprocating both sides.

Shortcut Trick

Net Deviation of first 19 numbers = 19 × (90 − 74) = +304

Net Deviation of last 28 numbers = 28 × (67 − 74) = −196

Value of the overlapping 19^th number = 74 + (304 − 196) = 74 + 108 = 182

When 182 is excluded, New Average = Original Average − (Extra value ÷ Remaining count)

New Average = 74 − (108 ÷ 45) = 74 − 2.4 = 71.6

∴ The correct answer is 71.6.

Alternate Method

Given: Total numbers = 46, Average = 74. First 19 Avg = 90, Last 28 Avg = 67.

⇒ Total Sum of 46 numbers = 46 × 74 = 3404

⇒ Sum of first 19 numbers = 19 × 90 = 1710

⇒ Sum of last 28 numbers = 28 × 67 = 1876

⇒ Value of 19^th number = (Sum of first 19 + Sum of last 28) − Total Sum

⇒ 19^th number = (1710 + 1876) − 3404 = 3586 − 3404 = 182

⇒ Sum of remaining 45 numbers = 3404 − 182 = 3222

⇒ New Average = 3222 ÷ 45 = 71.6

∴ The correct answer is 71.6.

Additional Information

Average and Sum Relationship

Average = (Sum of Observations) ÷ (Number of Observations). Conversely, Sum = Average × Number of terms.

Overlap Concept

When (m + n) > Total (N), the overlapping number is found by [Sum(m) + Sum(n)] − Sum(Total).

Deviation Method for Exclusion

If an excluded value is greater than the average, the new average decreases. If smaller, the new average increases.

Shortcut Trick

Identify the multiplication factor: 13 → 26 is a factor of 2.

Apply factor to 17: 4^th proportional = 17 × 2 = 34.

Calculate half of it: 34 ÷ 2 = 17.

Final calculation: 1.5 (which is 3/2) × 17 = 25.5.

∴ The correct answer is 25.5.

Alternate Method

Given: The numbers are 13, 17, and 26. Let the 4^th proportional be x.

Formula Used: a/b = c/x (Product of extremes = Product of means)

⇒ 13 ÷ 17 = 26 ÷ x

⇒ x = (17 × 26) ÷ 13

⇒ x = 17 × 2 = 34

⇒ Half of the 4^th proportional = 34 ÷ 2 = 17

⇒ Required value = (3/2) × 17

⇒ Result = 51 ÷ 2 = 25.5

∴ The correct answer is 25.5.

Additional Information

Mean Proportional

The mean proportional between two numbers a and b is given by the square root of their product, i.e., √(a × b).

Third Proportional

For two numbers a and b, the third proportional c is such that a : b :: b : c, which results in the formula c = b² ÷ a.

Continued Proportion

Three numbers a, b, and c are in continued proportion if the ratio of the first to the second is the same as the ratio of the second to the third (a/b = b/c).

Shortcut Trick

Ratio of Pupils = 23 : 69 = 1 : 3

Since provisions are constant, Days are inversely proportional to Pupils.

Ratio of Days = 3 : 1

3 units = 15 days ⇒ 1 unit = 15 ÷ 3 = 5 days

∴ The correct answer is 5 days.

Alternate Method

Given:

Initial strength (M₁) = 23 pupils

Initial duration (D₁) = 15 days

New strength (M₂) = 69 pupils

Formula Used:

M₁ × D₁ = M₂ × D₂

Calculations:

⇒ 23 × 15 = 69 × D₂

⇒ 345 = 69 × D₂

⇒ D₂ = 345 ÷ 69

⇒ D₂ = 5

∴ The correct answer is 5 days.

Additional Information

Inverse Proportion

When two quantities are such that an increase in one leads to a proportional decrease in the other, they are in inverse proportion (x₁y₁ = x₂y₂).

Chain Rule Formula

The general formula for work/provisions is (M₁ × D₁ × H₁) / W₁ = (M₂ × D₂ × H₂) / W₂, where M is men, D is days, H is hours, and W is work.

Unitary Method for Provisions

Total capacity or total food is often calculated in man-days. In this case, total provisions = 23 × 15 = 345 pupil-days.

Shortcut Trick

Combined multiplier for Successive Discounts of 75% and 88% = 0.25 × 0.12 = 0.03.

Marked Price (MP) = Selling Price (SP) ÷ Multiplier = 474.3 ÷ 0.03 = ₹15,810.

If no discount is given, Marked Price becomes the Selling Price with 24% profit.

Cost Price (CP) = MP ÷ 1.24 = 15,810 ÷ 1.24 = ₹12,750.

∴ The correct answer is ₹12,750.

Alternate Method

Given:

Final Selling Price (SP) = ₹474.3

Successive Discounts = 75% and 88%

Profit when no discount is given = 24%

Formula Used:

SP = MP × (1 − d₁/100) × (1 − d₂/100)

CP = MP × 100 / (100 + Profit%)

Calculations:

⇒ 474.3 = MP × (1 − 75/100) × (1 − 88/100)

⇒ 474.3 = MP × (25/100) × (12/100)

⇒ 474.3 = MP × (1/4) × (3/25)

⇒ 474.3 = MP × 3/100

⇒ MP = (474.3 × 100) ÷ 3

⇒ MP = 47430 ÷ 3 = ₹15,810

Now, if no discount is given, Marked Price (MP) = SP = ₹15,810.

⇒ Profit = 24%

⇒ CP = (MP × 100) ÷ (100 + 24)

⇒ CP = 1581000 ÷ 124

⇒ CP = ₹12,750

∴ The correct answer is ₹12,750.

Additional Information

Successive Discounts Formula

Two successive discounts of a% and b% are equivalent to a single discount of [a + b − (ab/100)]%.

Marked Price and Cost Price Relation

The ratio of Marked Price to Cost Price is given by: MP/CP = (100 + Profit%) / (100 − Discount%).

Successive Percentage Change

The net multiplier for successive changes is the product of individual multipliers: (1 − d₁) × (1 − d₂) × ... × (1 − d_n).

Shortcut Trick

Volume of material = π × (R² − r²) × h

Using the identity (a² − b²) = (a + b)(a − b)

Volume = 3.14 × (5 + 4) × (5 − 4) × 20

Volume = 3.14 × 9 × 1 × 20 = 3.14 × 180 = 565.2 cm³

∴ The correct answer is 565.2 cm³.

Alternate Method

Given:

Outer radius (R) = 5 cm

Inner radius (r) = 4 cm

Height (h) = 20 cm

Value of π = 3.14

Formula Used:

Volume of material = Volume of outer cylinder − Volume of inner cylinder

Volume = πR²h − πr²h = πh(R² − r²)

Calculations:

⇒ Volume = 3.14 × 20 × (5² − 4²)

⇒ Volume = 3.14 × 20 × (25 − 16)

⇒ Volume = 3.14 × 20 × 9

⇒ Volume = 3.14 × 180

⇒ Volume = 565.2 cm³

∴ The correct answer is 565.2 cm³.

Additional Information

Total Surface Area of Hollow Cylinder

The total surface area including inner and outer surfaces and the base rings is given by: TSA = 2π(R + r)(h + R − r).

Curved Surface Area of Hollow Cylinder

The sum of inner and outer curved surfaces is: CSA = 2πRh + 2πrh = 2πh(R + r).

Volume of a Solid Cylinder

For a standard solid cylinder without a hole, the volume is: V = πr²h.

Shortcut Trick

Instant Discount (5% of ₹5,000) = ₹250

Amount after 5% discount = ₹5,000 − ₹250 = ₹4,750

Cash Payment part = ₹4,750 ÷ 2 = ₹2,375

Additional Cash Discount (2% of ₹2,375) = ₹47.50

Total Discount = ₹250 + ₹47.50 = ₹297.50

∴ The correct answer is ₹297.50.

Alternate Method

Given:

Total Bill Amount = ₹5,000

Instant Discount rate = 5%

Cash Discount rate = 2% (on the already discounted cash portion)

Payment Split = 50% Online and 50% Cash

Calculations:

⇒ First discount (Instant) = 5% of 5,000

⇒ Discount₁ = (5 ÷ 100) × 5,000 = ₹250

⇒ Balance amount = 5,000 − 250 = ₹4,750

⇒ Cash payment part = 4,750 ÷ 2 = ₹2,375

⇒ Second discount (Cash) = 2% of 2,375

⇒ Discount₂ = (2 ÷ 100) × 2,375 = ₹47.50

⇒ Total discount received = Discount₁ + Discount₂

⇒ Total Discount = 250 + 47.50 = ₹297.50

∴ The correct answer is ₹297.50.

Additional Information

Successive Discounts

When two discounts a% and b% are given successively on an amount, the effective discount is (a + b − ab/100)%.

Discount and Selling Price

Selling Price (SP) = Marked Price (MP) − Discount. Also, Discount % = (Discount ÷ MP) × 100.

Cash Discount Policy

Cash discounts are typically incentives for prompt payment and are calculated on the net amount payable after trade discounts.

Shortcut Trick

Find the LCM of the given divisors: 6, 15, and 10.

LCM(6, 15, 10) = 30.

The largest four-digit number is 9999.

Divide 9999 by 30 to find the nearest multiple: 9999 ÷ 30 = 333 with remainder 9. So, the multiple is 9999 − 9 = 9990.

Add the required constant remainder: 9990 + 5 = 9995.

∴ The correct answer is 9995.

Alternate Method

Given:

Divisors = 6, 15, 10

Remainder in each case = 5

Range = Largest 4-digit number (9999)

Formula Used:

Required Number = (LCM of divisors × k) + Remainder

Calculations:

⇒ LCM of 6, 15, and 10:

⇒ 6 = 2 × 3

⇒ 15 = 3 × 5

⇒ 10 = 2 × 5

⇒ LCM = 2 × 3 × 5 = 30

⇒ Divide the largest 4-digit number (9999) by 30:

⇒ 9999 = 30 × 333 + 9

⇒ The largest 4-digit multiple of 30 = 9999 − 9 = 9990

⇒ To leave a remainder of 5, add 5 to the multiple:

⇒ Required number = 9990 + 5 = 9995

∴ The correct answer is 9995.

Additional Information

LCM (Least Common Multiple)

The smallest positive integer that is perfectly divisible by each of the given numbers. For divisors a, b, and c, the general form of a number leaving remainder r is LCM(a, b, c) × k + r.

Divisibility Rule of 30

A number is divisible by 30 if it is simultaneously divisible by both 3 (sum of digits is a multiple of 3) and 10 (last digit is 0).

Constant Remainder Case

If the question asks for the smallest number, k = 1. For the largest n-digit number, find the largest multiple of the LCM within that range and then add the remainder.

Shortcut Trick Net multiplier = (100 − 5)/100 × (100 + 8)/100 = 0.95 × 1.08 = 1.026 Ramesh selling price = 1300 × 1.026 Ramesh selling price = ₹1333.80 ∴ The correct answer is ₹1333.80. Alternate Method Given: Cost Price (CP) for Ravi = ₹1300 Loss percentage for Ravi = 5% Profit percentage for Ramesh = 8% Formula Used: Selling Price (SP) = CP × (100 ± Profit/Loss %)/100

Calculations: ⇒ Ramesh Cost Price = Ravi Selling Price ⇒ Ramesh CP = 1300 × (100 − 5)/100 = 1300 × 95/100 ⇒ Ramesh CP = 13 × 95 = ₹1235 ⇒ Ramesh Selling Price = Ramesh CP × (100 + 8)/100 ⇒ Ramesh SP = 1235 × 108/100 = 1235 × 1.08 ⇒ Ramesh SP = 1333.80 ∴ The correct answer is ₹1333.80. Additional Information Successive Percentage Change When a value is changed by x% and then by y%, the net percentage change is given by [x + y + (xy/100)]%. Effective Multiplying Factor For a profit of P%, multiply CP by (1 + P/100). For a loss of L%, multiply CP by (1 − L/100). Relation between CP and SP If SP > CP, it is Profit = SP − CP. If CP > SP, it is Loss = CP − SP.

Shortcut Trick

Assume the balanced average of all numbers is 22.

Deviation of the first number (13) from the average = 13 − 22 = −9

Deviation of the second number (26) from the average = 26 − 22 = +4

Net deviation for the two numbers = −9 + 4 = −5

To maintain the average of 22, the third number must compensate with a deviation of +5.

∴ The correct answer is 27.

Alternate Method

Given:

Average of three numbers = 22

Value of first number = 13

Value of second number = 26

Formula Used:

Sum of observations = Average × Number of observations

⇒ Total sum of three numbers = 22 × 3 = 66

⇒ Sum of the two given numbers = 13 + 26 = 39

⇒ Third number = Total sum − Sum of two numbers

⇒ Third number = 66 − 39 = 27

∴ The correct answer is 27.

Additional Information

Net Deviation Property

The sum of deviations of all data points from their arithmetic mean is always zero. This property is used to find missing values in a dataset quickly.

Weighted Average Formula

If two groups have averages A₁ and A₂ with sizes n₁ and n₂, the combined average = (n₁A₁ + n₂A₂) ÷ (n₁ + n₂).

Effect of Change in Observations

If every number in a set is increased or decreased by a constant 'k', the average also increases or decreases by 'k'.

Shortcut Trick

Effective Simple Interest rate for 5 years = 3% × 5 = 15%.

Total Amount = 100% (Principal) + 15% (Interest) = 115% of Principal.

Amount = 115% of ₹1,620 = 1.15 × 1,620 = ₹1,863.

∴ The correct answer is ₹1,863.

Alternate Method

Given:

Principal (P) = ₹1,620

Rate (R) = 3% per annum

Time (T) = 5 years

Formula Used:

Simple Interest (SI) = (P × R × T) ÷ 100

Total Amount (A) = Principal (P) + Simple Interest (SI)

Calculations:

⇒ SI = (1,620 × 3 × 5) ÷ 100

⇒ SI = (1,620 × 15) ÷ 100

⇒ SI = 24,300 ÷ 100 = ₹243

⇒ Amount = Principal + SI

⇒ Amount = 1,620 + 243 = ₹1,863

∴ The correct answer is ₹1,863.

Additional Information

Simple Interest (SI) Formula

The basic formula is SI = (P × R × T) ÷ 100, where P is principal, R is rate, and T is time in years.

Relationship between Amount and Principal

Total Amount (A) can also be calculated directly using A = P(1 + RT/100).

Interest Rate Conversion

If the time is given in months, divide by 12 to convert to years; if in days, divide by 365.

Shortcut Trick

Total work = LCM(16, 18) = 144 units.

Efficiencies: Sam = 9 units/hr, Rocky = 8 units/hr.

Combined work in 2-hr cycle (Rocky + Sam) = 8 + 9 = 17 units.

In 8 cycles (16 hours), work done = 8 × 17 = 136 units.

Remaining work = 144 − 136 = 8 units, completed by Rocky in 1 hour.

Total time = 17 hours ⇒ 2 a.m. + 17 hours = 7:00 p.m.

∴ The correct answer is 7:00 p.m.

Alternate Method

Given:

Time taken by Sam = 16 hours

Time taken by Rocky = 18 hours

Work begins at 2 a.m. with Rocky starting first.

Calculations:

⇒ Total work (LCM of 16 and 18) = 144 units.

⇒ 1st hour (Rocky) = 8 units.

⇒ 2nd hour (Sam) = 9 units.

⇒ Work done in 1 cycle (2 hours) = 8 + 9 = 17 units.

⇒ Number of cycles to complete work ≈ 144 ÷ 17 = 8 cycles.

⇒ Work done in 8 cycles = 17 × 8 = 136 units.

⇒ Time elapsed for 8 cycles = 8 × 2 = 16 hours.

⇒ Remaining work = 144 − 136 = 8 units.

⇒ 17th hour: Rocky works and completes the remaining 8 units (8 ÷ 8 = 1 hour).

⇒ Total duration = 16 + 1 = 17 hours.

⇒ Project completion time = 2 a.m. + 17 hours = 7:00 p.m.

∴ The correct answer is 7:00 p.m.

Additional Information

Alternate Work Rule

In alternate work problems, identify the work done in one full cycle (sum of individual efficiencies) and then calculate the number of cycles to reach near the Total Work.

Efficiency vs Time

Efficiency is inversely proportional to the time taken. If time ratio is a:b, efficiency ratio is b:a. Total Work = Time × Efficiency.

Pipes and Cisterns

This concept is similar to Pipes and Cisterns where filling pipes have positive efficiency and emptying pipes have negative efficiency.

Shortcut Trick

Let total registered voters be 100 units.

Polled votes = 80% of 100 = 80 units.

Valid votes = 85% of 80 = 68 units.

Winning margin = (70% − 30%) of valid votes = 40% of 68 = 27.2 units.

Given 27.2 units = 136 → 1 unit = 136 ÷ 27.2 = 5.

Total voters = 100 units × 5 = 500.

∴ The correct answer is 500.

Alternate Method

Given:

• Voters polled = 80% of registered voters

• Invalid votes = 15% of polled votes

• Winning candidate = 70% of valid votes

• Winning margin = 136 votes

Formula Used:

Valid Votes = Polled Votes × (100% − Invalid%)

Margin = (Winner% − Loser%) × Valid Votes

Calculations:

Let the number of registered voters be x.

⇒ Polled votes = 0.80x

⇒ Valid votes = 0.85 × 0.80x = 0.68x

⇒ If the winner gets 70% of valid votes, the loser gets (100% − 70%) = 30% of valid votes.

⇒ Margin = (70% − 30%) of valid votes = 40% of 0.68x

⇒ 0.40 × 0.68x = 136

⇒ 0.272x = 136

⇒ x = 136 ÷ 0.272

⇒ x = 136000 ÷ 272 = 500

∴ The correct answer is 500.

Additional Information

Valid Votes Calculation

Valid votes are always calculated on the total polled votes, not on the total registered voters, unless specified otherwise.

Winning Margin

The margin is the absolute difference between the votes of the winner and the runner-up: Margin = Winner's Votes − Loser's Votes.

Successive Percentage

In election problems, you can use a single chain of multiplication: Total × Polled% × Valid% × Difference% = Margin.

Shortcut Trick

Identify odd numbers between 308 and 319: 309, 311, 313, 315, 317.

Eliminate multiples: 309 (sum of digits 12, div by 3) and 315 (ends in 5, div by 5).

Check remaining: 311, 313, and 317 are not divisible by any prime up to √317 (≈ 17).

Count of prime numbers = 3.

∴ The correct answer is 3.

Alternate Method

Given: Range of numbers between 308 and 319.

To find prime numbers, we list all integers in the range and test their divisibility.

⇒ Integers in range = {309, 310, 311, 312, 313, 314, 315, 316, 317, 318}

⇒ Exclude even numbers: {309, 311, 313, 315, 317}

⇒ Test 309: 3 + 0 + 9 = 12 (divisible by 3) → Not Prime

⇒ Test 311: Not divisible by 2, 3, 5, 7, 11, 13, 17 → Prime

⇒ Test 313: Not divisible by 2, 3, 5, 7, 11, 13, 17 → Prime

⇒ Test 315: Ends in 5 (divisible by 5) → Not Prime

⇒ Test 317: Not divisible by 2, 3, 5, 7, 11, 13, 17 → Prime

⇒ Total Prime numbers = {311, 313, 317}

∴ The correct answer is 3.

Additional Information

Prime Number Definition

A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.

Primality Test

To check if a number n is prime, test divisibility by all prime numbers up to √n. If none divide n, then n is prime.

Twin Primes

A twin prime is a prime number that is either 2 less or 2 more than another prime number (e.g., 311 and 313 are twin primes).

Shortcut Trick

Combine the volume formulas: Total Volume = πr²(H_cyl + h_cone/3)

⇒ Volume = (22/7) × 14 × 14 × (15 + 3/3)

⇒ Volume = 616 × (15 + 1)

⇒ Volume = 616 × 16 = 9856 cm³

∴ The correct answer is 9856 cm³.

Alternate Method

Given:

⇒ Radius (r) of cone and cylinder = 14 cm

⇒ Height of cylinder (H) = 15 cm

⇒ Height of cone (h) = 3 cm

Formula Used:

⇒ Volume of Solid = Volume of Cylinder + Volume of Cone

⇒ Volume = πr²H + (1/3)πr²h

Calculations:

⇒ Volume of Cylindrical part = π × r² × H

⇒ Volume of Cylindrical part = (22/7) × 14 × 14 × 15

⇒ Volume of Cylindrical part = 22 × 2 × 14 × 15 = 9240 cm³

⇒ Volume of Conical part = (1/3) × π × r² × h

⇒ Volume of Conical part = (1/3) × (22/7) × 14 × 14 × 3

⇒ Volume of Conical part = 22 × 2 × 14 = 616 cm³

⇒ Total Volume = 9240 + 616

⇒ Total Volume = 9856 cm³

∴ The correct answer is 9856 cm³.

Additional Information

Slant Height of Cone

The slant height (l) is given by l = √(r² + h²), where r is radius and h is vertical height.

Curved Surface Area (CSA)

CSA of Cylinder = 2πrH and CSA of Cone = πrl.

Total Surface Area of this Solid

TSA = Area of circular base + CSA of Cylinder + CSA of Cone = πr² + 2πrH + πrl.

Shortcut Trick

Use the successive percentage change formula: Net Change = a + b + (a × b)/100

First two changes (25% and 20%): 25 + 20 + (25 × 20)/100 = 45 + 5 = 50% increase.

Net result with the third change (−10%): 50 − 10 + (50 × −10)/100 = 40 − 5 = 35%.

Since the result is positive, it is a percentage increase.

∴ The correct answer is Increased by 35%.

Alternate Method

Given:

First increase = 25% | Second increase = 20% | Third decrease = 10%

Formula Used:

Final Price = Initial Price × (100 + change₁)/100 × (100 + change₂)/100 × (100 + change₃)/100

Calculations:

Let the Initial Price of the item be 100.

⇒ Price after 25% increase = 100 + (25/100 × 100) = 125

⇒ Price after 20% increase = 125 + (20/100 × 125) = 125 + 25 = 150

⇒ Price after 10% decrease = 150 − (10/100 × 150) = 150 − 15 = 135

⇒ Total change in price = 135 − 100 = 35

⇒ Final Percentage Change = (35/100) × 100 = 35%

∴ The correct answer is Increased by 35%.

Additional Information

Successive Percentage Formula

For two successive changes of x% and y%, the net change is given by [x + y + (xy/100)]%. Use negative values for decreases.

Multiplication Factor

A 25% increase is equivalent to multiplying by 1.25, and a 10% decrease is equivalent to multiplying by 0.90.

Fractional Equivalent

Successive changes can be solved using ratios: 25% increase = 5/4, 20% increase = 6/5, and 10% decrease = 9/10. Product = 5/4 × 6/5 × 9/10 = 27/20 = 1.35 or 35% increase.

Shortcut Trick

To find the speed, divide the total distance by the total time.

Speed = 672 ÷ 28

Speed = 24 km/h

∴ The correct answer is 24 km/h.

Alternate Method

Given:

Total Distance (D) = 672 km

Total Time (T) = 28 hr

Formula Used:

Speed (S) = Distance (D) ÷ Time (T)

Calculations:

⇒ Speed = 672 ÷ 28

⇒ Speed = (28 × 24) ÷ 28

⇒ Speed = 24 km/h

∴ The correct answer is 24 km/h.

Additional Information

Unit Conversion: km/h to m/s

To convert speed from km/h to m/s, multiply the value by 5/18. For example, 24 km/h × (5/18) = 6.67 m/s.

Unit Conversion: m/s to km/h

To convert speed from m/s to km/h, multiply the value by 18/5.

Average Speed

Average Speed is defined as the Total Distance traveled divided by the Total Time taken (Total Distance ÷ Total Time).

Shortcut Trick

Distance (D) = [ (S₁ × S₂) / (S₂ − S₁) ] × Time Difference

Here, S₁ = 35 km/hr, S₂ = 42 km/hr, and Time Difference = 34/60 hours.

D = [ (35 × 42) / (42 − 35) ] × (34 / 60)

D = (35 × 42 / 7) × (34 / 60) = 210 × (34 / 60)

D = 3.5 × 34 = 119 km

∴ The correct answer is 119 km.

Alternate Method

Given:

Speed of Ram (S_R) = 35 km/hr

Speed of Shyam (S_S) = 42 km/hr

Time difference (ΔT) = 34 minutes = 34/60 hours

Formula Used:

Since Distance is constant, Speed is inversely proportional to Time (S ∝ 1/T).

Calculations:

⇒ Ratio of Speeds (Ram : Shyam) = 35 : 42 = 5 : 6

⇒ Ratio of Time taken (Ram : Shyam) = 6 : 5

⇒ Difference in time ratio units = 6 − 5 = 1 unit

⇒ 1 unit = 34/60 hours

⇒ Time taken by Ram = 6 units = 6 × (34 / 60) = 3.4 hours

⇒ Distance = Speed of Ram × Time taken by Ram

⇒ Distance = 35 × 3.4 = 119 km

∴ The correct answer is 119 km.

Additional Information

Inverse Proportion Rule

When the distance is constant, the ratio of speeds S₁ : S₂ is inverse to the ratio of times T₁ : T₂ (i.e., S₁/S₂ = T₂/T₁).

Average Speed for Constant Distance

If an object covers the same distance at two different speeds S₁ and S₂, the average speed is given by (2 × S₁ × S₂) / (S₁ + S₂).

Unit Conversion

To convert km/hr to m/s, multiply by 5/18. To convert m/s to km/hr, multiply by 18/5.

'गौरव आएगा' वाक्य में उचित क्रिया-विशेषण का सही उत्तर है- परसों

मुख्य बिंदु (Key Points)

• दिए गए वाक्य 'गौरव परसों आएगा' में 'परसों' शब्द क्रिया (आएगा) के होने के समय की सूचना दे रहा है।
• जो शब्द क्रिया की विशेषता बताते हैं, उन्हें क्रिया-विशेषण कहते हैं। यहाँ 'परसों' शब्द कालवाचक क्रिया-विशेषण का उदाहरण है।
• कालवाचक क्रिया-विशेषण: जिन शब्दों से क्रिया के होने के समय का पता चलता है, उन्हें कालवाचक क्रिया-विशेषण कहते हैं।
• अन्य उदाहरण: वह कल दिल्ली जाएगा। मैं अभी खाना खा रहा हूँ।

अन्य विकल्प -

महत्वपूर्ण बिंदु (Important Points) 
 अर्थ के आधार पर क्रिया-विशेषण के भेद-

1. कालवाचक क्रिया-विशेषण (समय का बोध)
2. स्थानवाचक क्रिया-विशेषण (जगह का बोध)
3. परिमाणवाचक क्रिया-विशेषण (मात्रा का बोध)
4. रीतिवाचक क्रिया-विशेषण (तरीके का बोध)

अतिरिक्त जानकारी (Additional Information)

उपरोक्त प्रश्न का सही उत्तर है: नयन

Key Points

• दिए गए विकल्पों में 'नयन' शब्द तद्भव नहीं है।
• 'नयन' एक तत्सम शब्द है, जिसका तद्भव रूप 'नैन' होता है।
• परिभाषा - तत्सम शब्द वे शब्द होते हैं जो संस्कृत भाषा से बिना किसी परिवर्तन के हिंदी भाषा में ज्यों के त्यों अपना लिए गए हैं।

अन्य विकल्प-

Additional Information

कुछ महत्वपूर्ण तत्सम-तद्भव शब्द -

'मरण' का सही उत्तर है: मरना

मुख्य बिंदु

• 'मरण' शब्द का सही तद्भव रूप 'मरना' होगा।

• 'मरण' एक तत्सम शब्द है, जिसका अर्थ है मृत्यु की क्रिया या भाव।

• परिभाषा - संस्कृत के ऐसे शब्द जिन्हें हम ज्यों का त्यों प्रयोग में लाते हैं, तत्सम शब्द कहलाते हैं। उन्हीं शब्दों का बदला हुआ रूप तद्भव कहलाता है।

अन्य विकल्प-

अतिरिक्त जानकारी

कुछ महत्वपूर्ण तत्सम और तद्भ�� शब्द -

इस प्रश्न का सही उत्तर option 1 है , निचे दिए उत्तर के फॉ र्मेट मे html code में उत्तर दे

इसका सही उत्तर 'प्रिय' है।

Key Points

वाक्य विश्लेषण के अनुसार:

• दिए गए रिक्त स्थान में 'प्रिय' शब्द सबसे सटीक विशेषण है।
• 'प्रिय' एक गुणवाचक विशेषण है, जो 'गुरु' (संज्ञा) की विशेषता प्रकट कर रहा है।
• पूर्ण वाक्य: 'हमारे प्रिय गुरु ने हमें सदा सही मार्ग दिखाया।' यह वाक्य भाव और व्याकरण की दृष्टि से शुद्ध है।

Additional Information अन्य विकल्पों का विश्लेषण:

स्थूल -

• इसका अर्थ 'मोटा', 'बड़ा' या 'विशाल' होता है। गुरु के आदरसूचक संदर्भ में यह शब्द अनुपयुक्त है।

दृढ़ता -

• यह एक भाववाचक संज्ञा है। वाक्य में रिक्त स्थान पर गुरु की विशेषता बताने के लिए विशेषण की आवश्यकता है, संज्ञा की नहीं।

अरुण -

• इसका अर्थ 'लाल रंग' या 'प्रातःकाल का सूर्य' होता है। यह विशेषण गुरु के लिए यहाँ तर्कसंगत नहीं है।

'प्रभा को नौकरी नहीं करनी है।' वाक्य में उचित कारक का सही उत्तर है- को

मुख्य बिंदु

• दिए गए वाक्य में रिक्त स्थान के लिए सही कारक चिन्ह 'को' है। जब वाक्य में कर्ता की इच्छा, आवश्यकता या बाध्यता प्रकट होती है, तब कर्ता के साथ 'को' विभक्ति का प्रयोग किया जाता है।
• यहाँ 'नौकरी नहीं करनी है' क्रिया का प्रभाव और कर्ता की स्थिति दर्शाने के लिए को कारक चिन्ह (विभक्ति) का प्रयोग व्याकरणिक दृष्टि से शुद्ध है।
• अन्य उदाहरण: 1. राम को घर जाना है। 2. छात्रों को परिश्रम करना चाहिए।

अन्य विकल्प -

महत्वपूर्ण बिंदु 
 हिंदी में कारक के मुख्य भेद-

1. कर्ता कारक (ने)
2. कर्म कारक (को)
3. करण कारक (से, के द्वारा)
4. संप्रदान कारक (को, के लिए)
5. अपादान कारक (से - अलग होने के अर्थ में)
6. संबंध कारक (का, के, की, रा, रे, री)
7. अधिकरण कारक (में, पर)
8. संबोधन कारक (हे, अरे, ओ)

अतिरिक्त जानकारी

उपरोक्त प्रश्न का सही उत्तर अक्षोट - अखरोट है।

Key Points

• 'अक्षोट - अखरोट' तत्सम-तद्भव का सही शब्द युग्म है।

• 'अक्षोट' संस्कृत का शब्द (तत्सम) है, जिसका हिंदी परिवर्तित रूप (तद्भव) 'अखरोट' है।

• तत्सम शब्द - ऐसे शब्द जिन्हें संस्कृत से बिना किसी परिवर्तन के हिंदी में लिया गया है, उन्हें तत्सम शब्द कहते हैं।

• तद्भव शब्द - ऐसे शब्द जो संस्कृत से उत्पन्न हुए हैं लेकिन समय के साथ उनके रूप में परिवर्तन हो गया है, उन्हें तद्भव शब्द कहते हैं।

अन्य विकल्प-

Additional Information

कुछ महत्वपूर्ण तत्सम-तद्भव शब्द -

इस प्रश्न का सही उत्तर 'पर' है , निचे दिए उत्तर के फॉर्मेट मे html code में उत्तर दे

इसका सही उत्तर 'पर' है। रिक्त स्थान भरने के बाद सही वाक्य: 'मेज पर अपनी पुस्तक रखो।'

मुख्य बिंदु

• दिए गए वाक्य में 'पर' विभक्ति चिह्न का प्रयोग होगा क्योंकि यहाँ पुस्तक रखने के आधार (स्थान) का बोध हो रहा है।
• अधिकरण कारक: संज्ञा के जिस रूप से क्रिया के आधार (स्थान, समय या अवसर) का ज्ञान होता है, उसे अधिकरण कारक कहते हैं। इसके मुख्य चिह्न 'में' और 'पर' होते हैं।
• यहाँ 'मेज' पुस्तक रखने का भौतिक आधार है, इसलिए 'पर' का प्रयोग व्याकरणिक दृष्टि से शुद्ध है।

अतिरिक्त जानकारी

अन्य विकल्पों का विश्लेषण:

• को - यह कर्म कारक का चिह्न है। इसका प्रयोग क्रिया के फल को दर्शाने के लिए किया जाता है। (जैसे: राम ने शाम को देखा)।
• के - यह संबंध कारक (का, के, की) का हिस्सा है। यह दो पदों के बीच संबंध बताता है। (जैसे: राजा के महल)।
• से - यह करण कारक (साधन) या अपादान कारक (अलग होने) का चिह्न है। (जैसे: वह बस से आया या पेड़ से पत्ता गिरा)।

दिए गए वाक्यांशों को अर्थपूर्ण क्रम में व्यवस्थित करने का सही उत्तर है- A, D, B, C

Key Points

• विकल्प (3) अर्थात A, D, B, C सही क्रम है क्योंकि यह एक व्याकरणिक और तार्किक रूप से पूर्ण वाक्य का निर्माण करता है।
• वाक्य व्यवस्थापन (Sentence Rearrangement) के अनुसार, शब्दों का समूह तभी वाक्य कहलाता है जब उसका एक निश्चित अर्थ निकलता हो। इस वाक्य का सही रूप है: 'आईआईटी बॉम्बे के पास एक विशेष उच्च-स्तरीय कार्यक्रम है जो छात्रों को उच्च-स्तरीय शिक्षा प्रदान करता है।'
• इस वाक्य में आईआईटी बॉम्बे कर्ता के रूप में है, और उसके द्वारा संचालित कार्यक्रम की विशेषता बताई गई है।
• अन्य उदाहरण: 'परिश्रम ही सफलता की कुंजी है।' यहाँ पदों का क्रम तार्किक है।

अन्य विकल्प -

Important Points 
 वाक्य के मुख्य तत्व (Elements of Sentence)-

1. सार्थकता: वाक्य में प्रयुक्त शब्दों का अर्थ होना चाहिए।
2. योग्यता: शब्दों में प्रसंग के अनुसार अर्थ देने की क्षमता होनी चाहिए।
3. पदक्रम: वाक्य में शब्दों का एक निश्चित व्याकरणिक क्रम होना चाहिए।

Additional Information

'पंच कहे बिल्ली तो बिल्ली ही सही' का सही उत्तर है: बहुमत की राय मानी जाती है

Key Points

• 'पंच कहे बिल्ली तो बिल्ली ही सही' लोकोक्ति का सही उत्तर 'बहुमत की राय मानी जाती है' होगा।

• इस लोकोक्ति का अर्थ है कि जब कोई सामूहिक निर्णय लिया जाता है या बहुमत किसी बात पर सहमत हो जाता है, तो उसे बिना तर्क के स्वीकार करना पड़ता है।

• परिभाषा - लोकोक्ति (लोक + उक्ति) समाज के अनुभवों पर आधारित वे संक्षिप्त और सारगर्भित वाक्य होते हैं जो किसी विशेष सत्य को प्रकट करते हैं। इन्हें कहावत भी कहा जाता है।

अन्य विकल्प-

Additional Information

कुछ महत्वपूर्ण संबंधित शब्द -

दिए गए विकल्पों में शुद्ध वाक्य क्रम का सही उत्तर है- जब तक परीक्षा का दिन नहीं आया था तब तक उसने एक अक्षर नहीं पढ़ा था।

मुख्य बिंदु

• सही विकल्प में शब्दों का चयन और उनका क्रम व्याकरण की दृष्टि से पूर्णतः शुद्ध है।
• इस वाक्य में 'जब तक' और 'तब तक' जैसे सापेक्ष अव्ययों का सही तालमेल है, जो समय की शर्त को प्रकट करते हैं।
• यह वाक्य एक मिश्र वाक्य का उदाहरण है जहाँ प्रधान उपवाक्य और आश्रित उपवाक्य एक-दूसरे पर निर्भर हैं।
• उदाहरण: जब तक तुम मेहनत नहीं करोगे, तब तक सफल नहीं होगे।

अन्य विकल्प -

महत्वपूर्ण बिंदु 
 रचना के आधार पर वाक्य के भेद-

1. सरल वाक्य (Simple Sentence)
2. संयुक्त वाक्य (Compound Sentence)
3. मिश्र वाक्य (Complex Sentence)

अतिरिक्त जानकारी

'अधजल गगरी छलकत जाए' का सही उत्तर है: ओछे का बढ़-चढ़कर बोलना

Key Points

• 'अधजल गगरी छलकत जाए' लोकोक्ति का सही अर्थ 'ओछे व्यक्ति का अधिक प्रदर्शन करना' या 'ओछे का बढ़-चढ़कर बोलना' होगा।

• 'अधजल गगरी छलकत जाए' के संबंधित शब्द — अल्पज्ञानी द्वारा डींगें हाँकना।

• परिभाषा - जब कोई व्यक्ति अपनी कम योग्यता या ज्ञान होने पर भी बहुत अधिक दिखावा करता है, तब इस लोकोक्ति का प्रयोग किया जाता है।

अन्य विकल्प-

Additional Information

कुछ महत्वपूर्ण संबंधित शब्द -

'चमगादड़ झूलना' मुहावरे का सही अर्थ है- सूनापन होना

मुख्य बिंदु

• 'चमगादड़ झूलना' का अर्थ है किसी स्थान का पूरी तरह से खाली, उजाड़ या निर्जन हो जाना।
• मुहावरा एक ऐसा वाक्यांश है जो अपने सामान्य अर्थ को छोड़कर किसी विशेष अर्थ को प्रकट करता है। यहाँ चमगादड़ का झूलना नकारात्मकता और विरानेपन का प्रतीक है।
• वाक्य प्रयोग: उस पुराने जमींदार की हवेली में अब दिन-दहाड़े चमगादड़ झूलते हैं।
• एक अन्य उदाहरण: युद्ध के बाद पूरे शहर में चमगादड़ झूलने लगे।

अन्य विकल्प -

महत्वपूर्ण बिंदु 
 मुहावरों के मुख्य लक्षण-

1. मुहावरे का प्रयोग वाक्यांश के रूप में होता है, स्वतंत्र वाक्य के रूप में नहीं।
2. इनका अर्थ प्रसंग के अनुसार बदल जाता है।
3. मुहावरों के मूल शब्दों को पर्यायवाची शब्दों से नहीं बदला जा सकता।

अतिरिक्त जानकारी

इस प्रश्न का सही उत्तर option 3 है , निचे दिए उत्तर के फॉ र्मेट मे html code में उत्तर दे , niche diya html code sirf sample demo hai

इसका सही उत्तर 'समझता' है।

Key Points

वाक्य के व्याकरण के अनुसार:

• दिए गए वाक्य ‘वह श्याम को मूर्ख ____________है’ में कर्ता 'वह' अन्य पुरुष, एकवचन है।
• हिंदी व्याकरण के नियम के अनुसार, क्रिया का रूप कर्ता के लिंग और वचन के अनुसार निर्धारित होता है।
• 'समझता' क्रिया यहाँ सबसे उपयुक्त है क्योंकि यह एकवचन पुल्लिंग कर्ता के साथ वर्तमान काल की निरंतरता और स्थिति को दर्शाता है।
• इसलिए, सही पूर्ण वाक्य होगा: ‘वह श्याम को मूर्ख समझता है।’

Additional Information अन्य विकल्पों का विश्लेषण:

समझते -

• यह क्रिया का बहुवचन रूप है, जो 'वे' या आदरसूचक संज्ञा/सर्वनाम के साथ प्रयोग किया जाता है।

मनाना -

• यह क्रिया का मूल रूप (ना-प्रत्यय युक्त) है। वाक्य के अर्थ के अनुसार 'मूर्ख मनाना' का कोई तार्किक भाव नहीं निकलता।

जाता -

• यह 'जाना' क्रिया का रूप है, जो यहाँ संदर्भ के विपरीत है। 'मूर्ख जाता है' वाक्य के अभीष्ट अर्थ (किसी के बारे में विचार रखना) को प्रकट नहीं करता।