DSSSB PRT Official Paper (Held On: 16 Feb, 2026 Shift 3) (Previous Year Paper)

The logic followed here is:

• Total number of people in the row = 41
• Position of Charu from the right end = 16^th
• Position of Avinash from the left end = 19^th

Position of Charu from the left end = Total number of people − Position of Charu from the right end + 1

= 41 − 16 + 1

= 26

So, Charu is 26^th from the left end.

Number of people between Charu and Avinash = Position of Charu from the left end − Position of Avinash from the left end − 1

= 26 − 19 − 1

= 6

Hence, the correct answer is 'Option 1'.

The water image of the given figure,

Hence, the correct answer is "Option 3"

The mirror image of the given figure,

Hence, the correct answer is "Option 1"

Given Series : (Left) D D Z B R E M W L K S G L Q V A U Q R (Right)

Required Condition: Consonant - Consonant - Vowel

(Left) D D Z B R E M W L K S G L Q V A U Q R (Right)

B R E and Q V A 

There are only two such consonants that meet the specified criteria.

Hence, the correct answer is "option 1"

The family tree diagram,

 

Based on the tree, N is the son of O. M is the wife of N. Therefore, M is the son's wife of O. Since L is the mother of M, L is the Son's wife's mother of O.

Hence, the correct answer is 'Option 2'.

The position and positional values or English Alphabets are:

Combining the results, we get the cluster: PYC51.

Hence, the correct answer is "Option 2"

The position and positional values or English Alphabets are:

Logic: 1^st Letter + 4 = 2^nd Letter and 2^nd Letter + 1 = 3^rd Letter.

Option 1) KOP,

Option 2) INN,

Option 3) QUV,

Option 4) VZA,

Therefore, the letter-cluster that is different from the others is INN.

Hence, the correct answer is 'Option 2'.

The logic followed here is based on the rearrangement of letters from the first word to form the second and third words in each triad.

For WAIT - AWIT - TIAW:

 

For FROM - RFOM - MORF:

Applying the same logic for LONG - OLNG - GNOL:

Hence, the correct answer is "Option 3"

The position and positional values or English Alphabets are:

Option 1) HJ − KL,

Option 2) FH − IJ,

Option 3) SU − VW,

Option 4) MO − QR,

Therefore, the letter-cluster pair that is different from the others is MO − QR.

Hence, the correct answer is 'Option 4'.

The logic follows here, 

The code for ‘M’ in that language is 9

Hence, the correct answer is "Option 1"

Sign Replacement:

 

**Given Equation:**50 − 12 ÷ 8 + 24 × 3 = ?

After replacing the signs and applying BODMAS Rule :

= 50 × 12 + 8 − 24 ÷ 3 

= 50 × 12 + 8 − 8

= 600 + 8 − 8

= 600

Hence, the correct answer is "option 2"

Given Series:  (Left) B E V M H Q E A H S Z R W G K C I V O (Right)

Required Conditions: Consonant - Vowel  - Vowel 

 (Left) B E V M H Q E A H S Z R W G K C I V O (Right)

Q E A

Hence, the correct answer is "Option 3"

Given: (left) 562 587 439 455 186 (right)

• The second digit of the second highest number is: 6 (562)
• The third digit of the lowest number is: 6 (186)

 

The addition of the second digit of the second highest number and the third digit of the lowest number is: 6 + 6 = 12.

Hence, the correct answer is 'Option 2'.

Symbol Meaning:

 

Given Equation : 99 D 144 A 6 B 3 C 11

After replacing the alphabets with their respective signs and applying the BODMAS rule: 99 − 144 ÷ 6 × 3 + 11

⇒ 99 − 24 × 3 + 11

⇒ 99 − 72 + 11

⇒ 110 − 72

⇒ 38

The final value obtained is 38.

Hence, the correct answer is "Option 3"

The logic followed here is:

Logic: Second Number = (First Number × 8) − 9

For the first pair 11 : 79

⇒ (11 × 8) − 9

⇒ 88 − 9 = 79.

Applying the same logic to the second pair

9 : 63

⇒ (9 × 8) − 9

⇒ 72 − 9 = 63.

Applying the same logic to the third pair

15 : ?

⇒ (15 × 8) − 9

⇒ 120 − 9 = 111.

Hence, the correct answer is 'Option 2'.

The position and positional values or English Alphabets are:

Given sequence of words: VOW APE NOT RIP

Left   VOW APE NOT RIP    Right

• The third letter of the third word APE from the right is E.
• The first letter of the first word VOW from the left is V
• The letters between E and V are: F, G, H, I, J, K, L, M, N, O, P, Q, R, S, T, and U
• There are 16 such letters.

 

Hence, the correct answer is "Option 3"

Given Series: 15, 21, 27, 33, 39, ?

Pattern:

15 + 6 = 21

21 + 6 = 27

27 + 6 = 33

33 + 6 = 39

39 + 6 = 45

Thus, the missing term in the series is 45.

Hence, the correct answer is 'Option 4';

**Given :**Six people, A, D, T, U, W and Z, are sitting in a row, facing north.

1. Only U sits to the right of D.
2. Only one person sits between U and Z.
3. Only two people sit between Z and W.
4. T sits at some place to the right of A.

The Final Arrangement is,

One people sit to the left of A.

Hence, the correct answer is "Option 2"

Given: Seven people (L, A, Y, E, R, S, T) have exams on different days of a week from Monday to Sunday.

1. Only two people have exams before E
2. Only one person has exam after L.
3. Only three people have exams between E and T.
4. Only one person has exam between A and S.
5. R has exam immediately before A

The Final Arrangement is,

The people between them are E and S .So, there are 2 people between them.

Hence, the correct answer is "Option 4".

The logic followed here is:

• Position of Dilip from the left = 16^th
• Position of Waseem from the right = 9^th
• Total number of people in the row = 38

Position of Waseem from the left = Total number of people − Position of Waseem from the right + 1

= 38 − 9 + 1

= 30

Number of people between Dilip and Waseem = Position of Waseem from the left − Position of Dilip from the left − 1

= 30 − 16 − 1

= 13

Hence, the correct answer is 'Option 3'.

The correct answer is Portugal.

Key Points

• The FIFA U-17 World Cup 2025 was hosted by Qatar, marking a significant milestone as the first edition of the tournament to be held under a new annual format.
• Starting from 2025, the FIFA Council decided that Qatar would host five consecutive editions of the tournament (from 2025 to 2029) to streamline logistics and maximize the use of existing world-class football infrastructure.
• The 2025 edition featured an expanded field of 48 teams, moving away from the previous 24-team format to provide greater opportunities for youth national teams across all six confederations.
• In the tournament held in November 2025, Portugal emerged as the champions, demonstrating tactical excellence and superior technical skill throughout the knockout stages to secure the prestigious trophy.
• This victory highlights the success of Portugal's long-term investment in youth development and their renowned academy structures, which consistently produce top-tier international talent.

 Additional Information

• France:
• A major force in European youth football, France reached the final of the 2023 FIFA U-17 World Cup and has historically won the title in 2001.
• Brazil:
• One of the most successful nations in this category, Brazil has won the FIFA U-17 World Cup four times, with their most recent triumph occurring in 2019.
• Germany:
• The defending champions prior to the 2025 cycle, Germany captured their first-ever U-17 World title in 2023 by defeating France in the final held in Indonesia.
• Tournament Transition:
• The shift to an annual competition in 2025 was paired with a similar hosting arrangement for the FIFA U-17 Women's World Cup, which was awarded to Morocco for the 2025-2029 period.

The correct answer is The Mysore rulers.

Key Points

• During the 1720s, the political landscape of South India was dominated by three major powers competing for supremacy following the decline of Mughal central authority.
• The Nizam of Hyderabad, Nizam-ul-Mulk Asaf Jah I, established an independent state in 1724. He consolidated his hold over the Deccan and claimed suzerainty over the regional chiefs of the south.
• The Marathas, particularly under the reign of Shahu I and the expansionist policies of Peshwa Baji Rao I (who assumed office in 1720), became a dominant military force in the region, frequently extracting Chauth and Sardeshmukhi from southern territories.
• The Nawab of Arcot (or the Nawab of the Carnatic) emerged as a significant administrative and political entity, governing the Coromandel Coast and its hinterland, often oscillating between the influence of the Nizam and the Marathas.
• The Mysore rulers, belonging to the Wodeyar dynasty, were a regional power but had not yet reached the 'formidable' status equivalent to the other three during the 1720s. Their rise as a major geopolitical challenger only occurred in the latter half of the 18^th century under Hyder Ali and Tipu Sultan.

 Additional Information

• The Nizam of Hyderabad:
• Founded the Asaf Jahi dynasty.
• Functioned as the Subahdar of the Deccan before becoming virtually independent.
• The Maratha Confederacy:
• Developed a system of Saranjami or land grants to military commanders.
• The 1720s marked their transition from a regional state to a pan-Indian empire.
• The Arcot Nawab:
• The capital was later moved to Arcot, making it a focal point of the Carnatic Wars between the British and French.
• The Wodeyars of Mysore:
• In the 1720s, the kingdom was under Dodda Krishnaraja I but faced frequent pressure from the Dalavayi (prime ministers) and external invaders.

The correct answer is 1995.

Key Points

• The National Social Assistance Programme (NSAP) was officially launched on 15^th August 1995 as a Centrally Sponsored Scheme of the Government of India.
• The program was designed to provide social assistance benefits to Below Poverty Line (BPL) households in the event of old age, the death of the primary breadwinner, or disability.
• It serves as a critical implementation of the Directive Principles of State Policy, specifically Article 41 of the Indian Constitution, which mandates that the state shall provide public assistance to citizens in cases of unemployment, old age, sickness, and disablement.
• The scheme is currently administered by the Ministry of Rural Development and provides 100 percent central assistance to States and Union Territories to ensure uniform social security coverage.
• At its inception in 1995, the program included the National Old Age Pension Scheme (NOAPS), the National Family Benefit Scheme (NFBS), and the National Maternity Benefit Scheme (NMBS).

 Additional Information

• The NSAP has evolved significantly since 1995 and currently comprises five distinct sub-schemes:
• Indira Gandhi National Old Age Pension Scheme (IGNOAPS): Provides a monthly pension to BPL persons aged 60 years and above. The pension amount is increased for seniors who reach the age of 80 years.
• Indira Gandhi National Widow Pension Scheme (IGNWPS): Launched in 2009, it provides financial assistance to BPL widows in the age group of 40 to 79 years.
• Indira Gandhi National Disability Pension Scheme (IGNDPS): Targets BPL individuals aged 18 to 79 years suffering from severe or multiple disabilities (80 percent or higher disability).
• National Family Benefit Scheme (NFBS): Provides a lump sum cash grant of 20,000 rupees to a BPL household upon the death of the primary breadwinner (aged between 18 and 59 years).
• Annapurna Scheme: Introduced in 2000, this scheme provides 10 kg of free food grains per month to eligible senior citizens who are not receiving pensions under IGNOAPS.
• In 2002-03, the National Maternity Benefit Scheme (NMBS) was transferred to the Ministry of Health and Family Welfare, eventually evolving into the Janani Suraksha Yojana.

The correct answer is 32.

Key Points

• Article 371F was inserted into the Indian Constitution by the 36^th Constitutional Amendment Act, 1975, marking the transition of Sikkim from an associate state to the 22^nd full-fledged state of the Indian Union.
• Clause (a) of Article 371F specifically provides that the Legislative Assembly of the State of Sikkim shall consist of not less than 32 members.
• This provision acts as an exception to the general rule prescribed under Article 170 of the Constitution, which normally requires a State Legislative Assembly to have a minimum of 60 members.
• The allocation of 32 seats was designed to ensure stable governance and representative democracy for Sikkim given its unique demographic profile and smaller population size at the time of merger.
• As of the current composition, the Sikkim Legislative Assembly maintains exactly 32 elected members, fulfilling this constitutional mandate.

 Additional Information

• Unique Features of Sikkim's Legislature:
• Sangha Seat: Out of the 32 seats, one seat is uniquely reserved for the Sangha (Buddhist monastic community), where the electoral college consists of monks from recognized monasteries across the state.
• Bhutia-Lepcha Reservation: Specific seats are reserved for the Bhutia and Lepcha communities to protect their minority interests, as guaranteed under the terms of the 1973 agreement and Article 371F.
• Governor's Special Responsibility: Under Article 371F(g), the Governor has a special responsibility for peace and for an equitable arrangement for ensuring the social and economic advancement of different sections of the population.
• Parliamentary Representation: Sikkim is also allocated one seat in the Lok Sabha and one seat in the Rajya Sabha, representing the entire state as a single constituency for each house.
• Historical Context: Before 1975, Sikkim was a protectorate under the Chogyal dynasty, and the 35^th Amendment initially made it an associate state before the 36^th Amendment finalized its integration.

The correct answer is Royal Challengers Bengaluru.

Key Points

• The Royal Challengers Bengaluru (RCB) emerged as the champions of the 18^th edition of the Indian Premier League (IPL) held in 2025, marking their first-ever title win in the history of the tournament.
• The franchise, which had been part of the league since its inaugural season in 2008, successfully ended a 17-year title drought by defeating their opponents in the final match held at the Narendra Modi Stadium in Ahmedabad.
• Under the tactical leadership of the coaching staff and the captain, the team maintained a high Net Run Rate (NRR) throughout the league stages, finishing at the top of the points table before advancing through the playoffs.
• Key contributions from Virat Kohli, who continued his prolific run-scoring form, and a clinical performance by the bowling department led by Mohammed Siraj, were the defining factors in RCB securing the IPL 2025 trophy.
• This victory made Royal Challengers Bengaluru the latest team to join the elite group of IPL winners, triggering widespread celebrations across their primary home base at the M. Chinnaswamy Stadium.

 Additional Information

• Sunrisers Hyderabad:
• They won their first IPL title in 2016 by defeating Royal Challengers Bengaluru in the final.
• The team was established in 2012 after the Deccan Chargers were terminated, and they are known for their consistent playoff appearances.
• Kolkata Knight Riders:
• A highly successful franchise that has won the IPL trophy three times, specifically in 2012, 2014, and 2024.
• The team represents the city of Kolkata and plays its home matches at the iconic Eden Gardens.
• Chennai Super Kings:
• One of the most decorated teams in IPL history with five championship titles won in 2010, 2011, 2018, 2021, and 2023.
• They hold the record for the most appearances in the IPL playoffs and finals under the long-term leadership of MS Dhoni.

The correct answer is Geneva.

Key Points

• The 112^th International Labour Conference (ILC) was convened in Geneva, Switzerland, from June 3 to June 14, 2024.
• The International Labour Conference is the annual meeting of the International Labour Organization (ILO), often referred to as the World Parliament of Labour.
• Delegates from the 187 Member States of the ILO participate, including representatives from governments, employers, and workers, maintaining its unique tripartite structure.
• Key discussions during the 112^th session included a standard-setting debate on protection against biological hazards, a recurrent discussion on the strategic objective of fundamental principles and rights at work, and a general discussion on decent work and the care economy.
• Gilbert F. Houngbo, the Director-General of the ILO, emphasized the progress of the Global Coalition for Social Justice, which aims to address global inequalities and promote social justice worldwide.

 Additional Information

• International Labour Organization (ILO):
• Founded in 1919 under the Treaty of Versailles, it is one of the oldest specialized agencies of the United Nations (since 1946).
• Headquartered in Geneva, Switzerland, the organization received the Nobel Peace Prize in 1969 for its efforts in improving peace among classes and promoting justice for workers.
• Its primary functions involve setting international labour standards, promoting rights at work, and encouraging decent employment opportunities.
• Host City Context:
• Geneva serves as a global hub for diplomacy and is the second-most populous city in Switzerland.
• It hosts numerous international organizations, including the World Health Organization (WHO) and the World Trade Organization (WTO), alongside the ILO.

The correct answer is Vempati Chinna Satyam.

Key Points

• Vempati Chinna Satyam (1929–2012) was a legendary maestro and guru of the Kuchipudi classical dance form, which originated in the state of Andhra Pradesh.
• He is celebrated for refining the Kuchipudi style, introducing a systematic repertoire, and transforming it from a traditional dance-drama format into a sophisticated solo performance art.
• In 1963, he established the Kuchipudi Art Academy in Madras (now Chennai), which became a global hub for training dancers and choreographing over 180 solo items and 15 dance dramas.
• For his extraordinary contributions to Indian classical dance, the Government of India honored him with the Padma Bhushan in 1998.
• He also received the prestigious Sangeet Natak Akademi Fellowship in 1991 and was known for popularizing the dance form across the United States, Europe, and Asia.

 Additional Information

• Sitara Devi:
• She was an eminent Kathak dancer, famously known as the Kathak Queen or Nritya Samragni, a title bestowed upon her by Rabindranath Tagore.
• She received the Padma Shri in 1973 and the Sangeet Natak Akademi Award in 1969.
• Shovana Narayanan:
• She is a recognized Kathak exponent and a disciple of Pandit Birju Maharaj, known for her dual career as an artist and an officer in the Indian Audit and Accounts Service.
• She was awarded the Padma Shri in 1992 for her contributions to the field of arts.
• Rukmini Devi Arundale:
• A primary figure in the revival of Bharatanatyam, she founded the Kalakshetra Foundation in Adyar, Chennai, to preserve traditional Indian arts.
• She was the first woman in Indian history to be nominated as a member of the Rajya Sabha and was awarded the Padma Bhushan in 1956.

The correct answer is Reduction in competition.

Key Points

• The New Economic Policy (NEP) of 1991 introduced the LPG (Liberalisation, Privatisation, and Globalisation) model to address the fiscal crisis and balance of payments deficit in the Indian economy.
• Liberalisation involved the removal of industrial licensing, export-import restrictions, and unnecessary bureaucratic controls, which aimed at making the market more competitive.
• Globalisation integrated the domestic economy with the global market, resulting in a significant increase in competition between domestic firms and multinational corporations (MNCs) rather than a reduction.
• The primary objective of these reforms was to improve economic efficiency, resource allocation, and technological upgradation through healthy market competition; thus, a reduction in competition is contrary to the core goals of LPG.
• While the reforms led to better quality goods and lower prices for consumers due to high competition, it also posed challenges for local small-scale industries that could not compete with global giants.

 Additional Information

• Growth in GDP
• The Indian economy witnessed a shift from the stagnant Hindu Growth Rate to a high-growth trajectory, with the Gross Domestic Product (GDP) increasing at an average of 6-7% in the decades following the reforms.
• Access to modern technology
• By allowing Foreign Direct Investment (FDI) and collaborations with global firms, India gained access to advanced industrial technology, IT infrastructure, and telecommunication systems.
• Increased foreign investment
• The reforms simplified the process for Foreign Portfolio Investment (FPI) and FDI, leading to a massive influx of foreign capital into sectors like insurance, banking, and manufacturing.
• The Foreign Exchange Management Act (FEMA) was later introduced in 1999 to replace the more restrictive FERA, further facilitating international trade.

The correct answer is 91^st Amendment.

Key Points

• The 91^st Constitutional Amendment Act, 2003, introduced significant changes to limit the size of the Council of Ministers and strengthen the Anti-Defection Law.
• According to Article 75(1A), added by this amendment, the total number of ministers, including the Prime Minister, in the Union Council of Ministers shall not exceed 15% of the total number of members of the Lok Sabha.
• The amendment also inserted Article 164(1A), which stipulates that the number of ministers in a State, including the Chief Minister, shall not exceed 15% of the total strength of the Legislative Assembly, provided that the number of ministers shall not be less than 12.
• Before this enactment, there was no formal limit on the size of the cabinet, often leading to jumbo cabinets created to accommodate various political factions and maintain coalition governments.
• Additionally, the 91^st Amendment revised the Tenth Schedule by removing the provision that protected a split in a political party (where one-third of members could split without disqualification).

 Additional Information

• 42^nd Amendment (1976):
• Often termed the Mini-Constitution, it was enacted during the Emergency under the Indira Gandhi government.
• It added the terms Socialist, Secular, and Integrity to the Preamble and introduced Fundamental Duties via Article 51A.
• 44^th Amendment (1978):
• Enacted by the Janata Government to restore democratic safeguards and undo changes made by the 42^nd Amendment.
• It shifted the Right to Property from a Fundamental Right to a legal right under Article 300A.
• 73^rd Amendment (1992):
• Provided constitutional status and protection to the Panchayati Raj institutions.
• It added Part IX and the Eleventh Schedule, containing 29 functional items for the Panchayats.

The correct answer is Sri Sri Ravi Shankar.

Key Points

• The 2025 World Leader for Peace and Security Award is a distinguished international honor conferred by the Boston Global Forum (BGF) and the AI World Society (AIWS) to recognize individuals who foster global harmony.
• Sri Sri Ravi Shankar, a globally revered spiritual leader and the founder of the Art of Living Foundation, was selected for this award in recognition of his significant contributions to humanitarian service, conflict resolution, and the promotion of global peace.
• Founded in 1981, his Art of Living Foundation operates in over 180 countries, focusing on stress-management programs and social initiatives that have impacted more than 500 million people.
• He has played a critical role as a neutral mediator in several major international conflicts, most notably facilitating peace talks between the Colombian government and the FARC rebels, helping end a 52-year-long civil war.
• The award committee highlighted his philosophy of Vasudhaiva Kutumbakam (The World is One Family) and his proactive efforts to integrate ethical human values into the development of Artificial Intelligence and global governance.

 Additional Information

• Boston Global Forum (BGF):
• An international think tank based in Boston, Massachusetts, that collaborates with academics and world leaders from Harvard and MIT to address global security and AI ethics.
• Previous recipients of BGF awards include notable leaders like Shinzo Abe (former PM of Japan) and Angela Merkel (former Chancellor of Germany).
• AI World Society (AIWS):
• An initiative that aims to create a virtuous society where Artificial Intelligence is used responsibly to enhance human rights, democracy, and global peace.
• Jaggi Vasudev (Sadhguru):
• A spiritual leader and founder of the Isha Foundation, known for environmental movements like Save Soil and Cauvery Calling.
• Baba Ramdev:
• A prominent yoga guru and co-founder of Patanjali Ayurved, primarily focused on Ayurveda and the global propagation of Yoga.

The correct answer is Government of India Act, 1858.

Key Points

• The Government of India Act, 1858, also known as the Act for the Good Government of India, was passed in the wake of the Revolt of 1857 to stabilize British rule.
• It formally abolished the East India Company and transferred all powers of governance, including territories and revenues, directly to the British Crown.
• The act ended the system of double government by abolishing the Board of Control and the Court of Directors, which had been the dual administrative pillars since 1784.
• A new office, the Secretary of State for India, was created. He was a member of the British Cabinet and was responsible for the entire administration of India.
• To assist the Secretary of State, a 15-member Council of India was established as an advisory body, with the Secretary of State as its Chairman.
• The designation of the Governor-General of India was changed to the Viceroy of India, representing the British monarch directly. Lord Canning became the first Viceroy of India.
• This legislation marked the beginning of the British Raj, ensuring that Indian administration was under the direct oversight of the British Parliament.

 Additional Information

• Pitt's India Act, 1784:
• Introduced the Double Government system by creating the Board of Control to manage political affairs while leaving commercial affairs to the Court of Directors.
• Charter Act, 1833:
• It was a major step toward centralization, making the Governor-General of Bengal the Governor-General of India.
• It stripped the Governors of Bombay and Madras of their legislative powers and ended the Company's activities as a commercial body.
• Regulating Act, 1773:
• The first intervention by the British Parliament to regulate the East India Company.
• It designated the Governor of Bengal as the Governor-General of Bengal and established a Supreme Court at Calcutta in 1774.

The correct answer is Indira Gandhi.

Key Points

• The slogan Garibi Hatao Desh Bachao (Abolish Poverty, Save the Country) was the centerpiece of Indira Gandhi's political strategy during the 1971 General Elections.
• The initiative was designed to counter the opposition coalition known as the Grand Alliance, whose primary agenda was summarized in the slogan Indira Hatao (Remove Indira).
• By focusing on poverty alleviation, she successfully built a new social base consisting of the landless laborers, Dalits, Adivasis, minorities, and women, which led to her massive electoral victory.
• The goals of Garibi Hatao were later incorporated into the Fifth Five-Year Plan (1974–1979), which focused on Self-Reliance and the Removal of Poverty through specific programs like the Twenty Point Programme launched in 1975.

 Additional Information

• Jawaharlal Nehru:
• As India's first Prime Minister, he established the Planning Commission in 1950 and focused on heavy industrialization during the Second Five-Year Plan.
• Rajiv Gandhi:
• He served as Prime Minister from 1984 to 1989 and is credited with initiating the Information Technology revolution and lowering the voting age from 21 to 18 via the 61^st Constitutional Amendment.
• Atal Bihari Vajpayee:
• He led the National Democratic Alliance (NDA) government and launched landmark projects such as the Golden Quadrilateral and the Pradhan Mantri Gram Sadak Yojana for rural connectivity.

The correct answer is Buddhism.

Key Points

• The Gangaramaya Temple is one of the most prominent and historically significant Buddhist temples in Colombo, the commercial capital of Sri Lanka.
• Established in the late 19^th century, the temple was founded by the esteemed scholar-monk Hikkaduwe Sri Sumangala Nayaka Thera, who was a pivotal figure in the 19^th-century Buddhist revival in the country.
• The temple complex displays a unique architectural fusion that incorporates Sri Lankan, Thai, Indian, and Chinese design elements, symbolizing the global reach of Theravada Buddhism.
• It serves as a multifaceted institution containing a Vihara (temple), a Cetiya (Pagoda), a Bodhi tree, and a Vihara Mandiraya, alongside a massive museum featuring thousands of Buddha statues and artifacts.
• The temple is the primary venue for the Navam Perahera, a spectacular religious pageant held every February on the Poya (full moon) day, involving hundreds of monks and decorated elephants to honor Buddhist heritage.

 Additional Information

• Geographical and Architectural Features:
• The temple complex includes the Simamalaka Shrine, a floating assembly hall located on the nearby Beira Lake, which was redesigned by the famous Sri Lankan architect Geoffrey Bawa in 1976.
• It houses a branch of the sacred Jaya Sri Maha Bodhi, which is believed to have grown from a sapling of the original tree under which Gautama Buddha attained enlightenment.
• Religious Context in Sri Lanka:
• Buddhism is the majority religion in Sri Lanka, followed by approximately 70.2% of the population, having been introduced by Mahinda, the son of the Mauryan Emperor Ashoka, in the 3^rd century BCE.
• While Hinduism (predominantly among the Tamil community), Islam, and Christianity are also practiced, the Gangaramaya remains a strictly Buddhist spiritual and educational center.

The correct answer is Humayun′s Tomb.

Key Points

• Humayun′s Tomb served as the final sanctuary for the last Mughal Emperor, Bahadur Shah Zafar, and members of the royal family during the Indian Rebellion of 1857.
• Following the fall of Delhi to British forces in September 1857, the Emperor abandoned the Red Fort and sought refuge at this site, which is the tomb of his ancestor.
• On September 20, 1857, Major William Hodson captured the Emperor at the tomb complex; the following day, Hodson shot the Emperor′s sons, Mirza Mughal and Mirza Khizr Sultan, and grandson Mirza Abu Bakr, at the Khooni Darwaza.
• The arrest at Humayun′s Tomb effectively marked the end of the Mughal Empire in India, leading to the Emperor′s subsequent trial and exile to Rangoon (Burma).
• Commissioned by Bega Begum in 1565 AD and designed by Persian architect Mirak Mirza Ghiyath, it was the first substantial garden-tomb on the Indian subcontinent and is a UNESCO World Heritage Site.

 Additional Information

• Ghiyas-ud-din Tughlaq′s Tomb:
• Located in the Tughlaqabad Fort complex, it was completed around 1325 AD.
• It is notable for its sloping walls (batter) and its unique position within a self-contained pentagonal enclosure.
• Sikandar Lodi′s Tomb:
• Situated in the Lodi Gardens of Delhi, it was constructed by his son Ibrahim Lodi in 1517-1518 AD.
• The structure is an important precursor to Mughal architecture, featuring an octagonal plan and one of the earliest examples of a double dome in India.
• Safdarjung Tomb:
• Constructed in 1754 for the Nawab of Awadh, Safdarjung, during the waning years of the Mughal Empire.
• It is often described as the 'last flicker in the lamp' of Mughal architecture, representing the final grand garden tomb built in the Charbagh style.

CONCEPT:

Second Law of Thermodynamics

• The Second Law of Thermodynamics establishes the concept of entropy and determines the natural direction of thermodynamic processes.
• It is formulated in two major ways:
• Clausius Statement: It is impossible to construct a device that operates in a cycle and produces no effect other than the transfer of heat from a lower-temperature body to a higher-temperature body.
• Kelvin-Planck Statement: It is impossible for any device that operates on a cycle to receive heat from a single reservoir and produce a net amount of work.

EXPLANATION:

• The statement in the question specifically refers to the Clausius Statement.
• Under normal circumstances, heat naturally flows from a hotter object to a colder object to achieve thermal equilibrium.
• For heat to move in the opposite direction (from cold to hot), external intervention (such as mechanical work done by a compressor in a refrigerator) is required.
• Comparing the different laws of thermodynamics:
• Zeroth Law: Defines temperature and thermal equilibrium.
• First Law: States the conservation of energy (internal energy, heat, and work).
• Third Law: States that the entropy of a system approaches a constant value as the temperature approaches absolute zero.
• Second Law: Restricts the direction of heat flow and energy conversion, which corresponds to the term sec provided in the options.
• The description provided corresponds exactly to the Second Law of Thermodynamics.

Therefore, the correct option is sec.

The correct answer is Lok Sabha.

Key Points

• According to Article 109 of the Constitution of India, a Money Bill shall not be introduced in the Council of States (Rajya Sabha). It can exclusively originate in the House of the People (Lok Sabha).
• A Money Bill can only be introduced on the prior recommendation of the President of India. This ensures that the executive has primary control over the initiation of financial legislation.
• The definition of a Money Bill is provided under Article 110, which includes matters such as the imposition, abolition, or regulation of taxes, and the appropriation of money out of the Consolidated Fund of India.
• The Speaker of the Lok Sabha is the final authority to decide whether a bill is a Money Bill or not. The Speaker's decision is endorsed on the bill and cannot be challenged in any court or by the President.
• Once passed by the Lok Sabha, the bill is transmitted to the Rajya Sabha for its recommendations. The Rajya Sabha has restricted powers and must return the bill within 14 days.

 Additional Information

• Rajya Sabha:
• The Upper House can only suggest recommendations and cannot reject or amend the bill. If it fails to return the bill within 14 days, the bill is deemed passed by both houses in the form it was originally passed by the Lok Sabha.
• Joint Sitting:
• Under Article 108, a joint sitting is summoned to resolve deadlocks on Ordinary Bills. However, there is no provision for a Joint Sitting for Money Bills because the Lok Sabha has the overriding power.
• Either House:
• While Ordinary Bills and Constitutional Amendment Bills can be introduced in either house, Money Bills are restricted to the Lok Sabha to maintain financial accountability to the directly elected representatives.
• Financial Bills:
• Financial Bill (I) under Article 117(1) also originates only in the Lok Sabha, whereas Financial Bill (II) under Article 117(3) can be introduced in either house.

The correct answer is Seasonal unemployment.

Key Points

• Seasonal unemployment is a phenomenon where people are unemployed during specific times of the year when the demand for labor is low. In the Indian agricultural sector, this is the most dominant form of unemployment.
• Agriculture in India is heavily dependent on seasonal cycles and monsoon patterns. Labor is required intensely during periods of sowing, transplanting, weeding, and harvesting.
• During the off-season or the gap between two major cropping seasons (such as between Kharif and Rabi), there is very little agricultural work available for landless laborers and small farmers.
• Studies indicate that an average Indian farmer or agricultural laborer remains unemployed for approximately 5 to 7 months in a year, depending on the availability of irrigation facilities and the type of crops grown.
• The lack of rural infrastructure and alternative employment opportunities in non-farm sectors during these idle months forces a large portion of the workforce to remain unproductive.

 Additional Information

• Structural unemployment:
• This occurs when there is a mismatch between the jobs available in the market and the skills of the available workers.
• It is often a result of technological shifts, such as automation or the transition of an economy from labor-intensive to capital-intensive industries.
• Cyclical unemployment:
• This type is directly linked to the business cycle of an economy.
• It rises during periods of recession or economic slowdown when the aggregate demand for goods and services decreases, leading to job cuts across various sectors.
• Frictional unemployment:
• Also known as search unemployment, it occurs when workers are in the process of moving from one job to another.
• It is generally short-term and voluntary, representing the time lag required for individuals to find a position that matches their skills and preferences.
• Disguised unemployment:
• Frequently observed in rural India, it refers to a situation where more people are engaged in an activity than are actually required.
• The marginal productivity of the extra labor is zero, meaning total output does not change if these workers are removed.

The correct answer is Men's 50 m rifle 3 positions.

Key Points

• Indian shooter Akhil Sheoran secured the bronze medal in the Men's 50m Rifle 3 Positions event at the ISSF World Cup Final 2024.
• The prestigious tournament was hosted at the Dr. Karni Singh Shooting Range in New Delhi, India, in October 2024.
• Akhil Sheoran finished the final round with a total score of 452.6 points to claim the third spot on the podium.
• The gold medal in this event was won by Hungary's Istvan Peni, while the silver medal went to Jiri Privratsky of the Czech Republic.
• The 50m Rifle 3 Positions is a challenging discipline where athletes shoot from three different postures: kneeling, prone, and standing, with Akhil demonstrating exceptional consistency across all segments.
• This victory further cemented Akhil Sheoran's reputation as a world-class rifle shooter, following his earlier success in securing an Olympic quota for India at the 2023 ISSF World Championships.

 Additional Information

• Men's 25 m rapid fire pistol:
• This event at the ISSF World Cup Final 2024 saw participation from top Indian shooters like Anish Bhanwala, who has been a consistent performer for India in this high-speed discipline.
• Men's skeet shooting:
• In the shotgun category, Anantjeet Singh Naruka represented India prominently during the 2024 season, including winning a bronze medal in the Skeet Mixed Team event alongside Ganemat Sekhon at the same World Cup Final.
• ISSF World Cup Final:
• The World Cup Final is an elite end-of-season competition where only the top-ranked shooters and Olympic medalists of the year are invited to compete for the title of the best in the world.

The correct answer is Trilochan Mohanta.

Key Points

• Trilochan Mohanta was conferred with the prestigious Sangeet Natak Akademi Award for the year 2020 in recognition of his significant contribution to the field of Chhau dance.
• The Sangeet Natak Akademi, which is the national academy for music, dance, and drama in India, announced the awards for the years 2019, 2020, and 2021 simultaneously in November 2022.
• He is a distinguished practitioner of the Mayurbhanj Chhau style, which is characterized by its martial movements and the absence of masks, unlike other variants of the dance.
• The award ceremony involves the presentation of a Tamrapatra (citation), an Angavastram, and a cash prize of 1,00,000 INR.
• The recognition highlights his dedication to preserving the traditional folk and tribal heritage of Odisha through this semi-classical dance form.

 Additional Information

• Sruti Bandopadhay:
• She received the Sangeet Natak Akademi Award 2020 for her contribution to Manipuri dance.
• She is an acclaimed performer, academician, and researcher in the field of classical Indian dance.
• Bhushan Lakandri:
• He was honored with the award for the year 2021 in the category of Choreography.
• His work involves blending classical techniques with cinematic and contemporary storytelling.
• Prema Ramamurthy:
• She was awarded the Sangeet Natak Akademi Award 2021 for Bharatanatyam.
• She is a veteran dancer known for her mastery over the Vazhuvoor style of Bharatanatyam.
• Chhau Dance:
• It is a traditional dance form from Eastern India, specifically Jharkhand, Odisha, and West Bengal.
• The three sub-genres include Seraikella Chhau, Mayurbhanj Chhau, and Purulia Chhau.
• In 2010, Chhau dance was inscribed in the UNESCO Representative List of the Intangible Cultural Heritage of Humanity.

The correct answer is - Active transport

Key Points

• Active Transport
• Active transport is a cellular process that involves the movement of molecules or ions across a cell membrane from a region of lower concentration to a region of higher concentration.
• Since this movement occurs against the concentration gradient, it requires the expenditure of cellular energy in the form of ATP (Adenosine Triphosphate).
• This process is vital for maintaining specific concentrations of ions and molecules inside the cell that are different from their surroundings.
• It is carried out by specific transmembrane proteins often referred to as pumps.

Additional Information

• Passive Transport
• Unlike active transport, passive transport does not require any input of metabolic energy (ATP).
• Substances move down the concentration gradient (from high to low concentration).
• Simple Diffusion
• This is a form of passive transport where small, non-polar molecules move directly through the phospholipid bilayer without any assistance.
• Facilitated Transport
• Also known as facilitated diffusion, this is a type of passive transport that uses carrier proteins or channel proteins to move polar or charged substances across the membrane.
• Even though it uses proteins, it does not require ATP because molecules still move from higher to lower concentration.
• Examples of Active Transport
• The Sodium-Potassium pump (Na⁺/K⁺-ATPase) is a primary example, which pumps three sodium ions out and two potassium ions into the cell against their gradients using one molecule of ATP.

Given:

Formula Used:

Ratio of Exports to Imports = Exports ÷ Imports

For exports to be more than imports (Exports > Imports):

Ratio of Exports to Imports > 1

Calculation:

According to the given line graph,

⇒ In 2019: Ratio = 1.8 (which is > 1) → Exports > Imports

⇒ In 2020: Ratio = 0.5 (which is ≤ 1) → Exports ≤ Imports

⇒ In 2021: Ratio = 1.5 (which is > 1) → Exports > Imports

⇒ In 2022: Ratio = 1.9 (which is > 1) → Exports > Imports

⇒ In 2023: Ratio = 1.0 (which is = 1) → Exports = Imports

⇒ Therefore, the number of years in which the exports were more than the imports is 3 (namely, 2019, 2021, and 2022).

∴ The correct answer is 3.

Shortcut Trick

Time taken for full work together = (A × B) ÷ (A + B) = (10 × 12) ÷ (10 + 12) = 120/22 = 60/11 days.

Time for one-eighth of the work = (1/8) × (60/11).

⇒ Time = 60/88 = 15/22 days.

∴ The correct answer is 15/22 days.

Alternate Method

Given:

Time taken by A = 10 days

Time taken by B = 12 days

Calculations:

⇒ Total Efficiency of A and B = 6 + 5 = 11 units/day

⇒ One-eighth of the total work = 60 × (1/8) = 7.5 units

⇒ Time taken to complete 7.5 units = Work ÷ Total Efficiency

⇒ Time = 7.5 ÷ 11

⇒ Time = 75/110 = 15/22 days

∴ The correct answer is 15/22 days.

Additional Information

Total Work and Efficiency

Efficiency is inversely proportional to the time taken. Total Work = Time × Efficiency.

Pipes and Cisterns

The same logic applies where inlet pipes have positive efficiency and outlet pipes (leakage) have negative efficiency.

Work and Wages

Wages are distributed in the ratio of the work done by each person, which is proportional to their efficiency if they work for the same duration.

Shortcut Trick

Initial Volume is represented as the product of initial dimensions: 1 × 1 × 1 = 1 unit.

New Volume factor = (1 + 50%) × (1 + 100%) × (1 + 100%) = 1.5 × 2 × 2 = 6 units.

Increase in Volume = New Volume − Initial Volume = 6 − 1 = 5 units.

The increase is 5 times the initial volume.

∴ The correct answer is 5 times.

Alternate Method

Given: Ratio of Length (L), Breadth (B), and Height (H) = 4 : 9 : 12.

Formula: Volume of a Cuboid = L × B × H

⇒ Let L = 4k, B = 9k, H = 12k.

⇒ Initial Volume (V₁) = 4k × 9k × 12k = 432k³.

⇒ New L = 4k + 50% of 4k = 4k + 2k = 6k.

⇒ New B = 9k + 100% of 9k = 9k + 9k = 18k.

⇒ New H = 12k + 100% of 12k = 12k + 12k = 24k.

⇒ New Volume (V₂) = 6k × 18k × 24k = 2592k³.

⇒ Increase in Volume = V₂ − V₁ = 2592k³ − 432k³ = 2160k³.

⇒ Number of times increased = 2160k³ ÷ 432k³ = 5.

∴ The correct answer is 5 times.

Additional Information

Total Surface Area of Cuboid

The total area of all six faces is given by the formula TSA = 2(LB + BH + HL).

Successive Percentage Change for Volume

If dimensions change by x%, y%, and z%, the final volume factor is (1 + x/100)(1 + y/100)(1 + z/100).

Diagonal of a Cuboid

The length of the longest rod that can be placed inside is D = √(L² + B² + H²).

Shortcut Trick

Direct formula for Speed = Total Distance ÷ Total Time.

Speed = 544 ÷ 16

Speed = 34 km/hr

∴ The correct answer is 34 kmph.

Alternate Method

Given:

Distance covered by the Uber cab = 544 km

Time taken to cover the distance = 16 hr

Formula Used:

Speed = Distance ÷ Time

⇒ Speed = 544 ÷ 16

⇒ Speed = 34 km/hr

∴ The correct answer is 34 kmph.

Additional Information

Relationship between Distance, Speed and Time

The fundamental relation is Distance = Speed × Time. To find time, use Time = Distance ÷ Speed.

Unit Conversion (km/hr to m/s)

To convert speed from km/hr to m/s, multiply the value by 5/18. Example: 36 km/hr = 36 × (5/18) = 10 m/s.

Average Speed

When a body travels different distances in different time intervals, Average Speed = Total Distance ÷ Total Time.

Relative Speed

For two objects moving in the same direction, relative speed is the difference of their speeds. In opposite directions, it is the sum of their speeds.

Shortcut Trick

Average of the ratio parts = (3 + 5 + 7) ÷ 3 = 5 units.

Given Average price of 3 items = ₹5,245.

Equating units: 5 units = ₹5,245 ⇒ 1 unit = 1,049.

Price of cheapest item (3 units) = 3 × 1,049 = ₹3,147.

∴ The correct answer is ₹3,147.

Alternate Method

Given: Average price = ₹5,245, Number of items = 3, Ratio = 3 : 5 : 7.

Formula: Total Sum = Average × Number of items; Value = (Total Sum ÷ Sum of Ratio) × Specific Ratio Part.

⇒ Total price of items = 5,245 × 3 = ₹15,735.

⇒ Let the prices be 3x, 5x, and 7x.

⇒ 3x + 5x + 7x = 15,735.

⇒ 15x = 15,735.

⇒ x = 15,735 ÷ 15 = 1,049.

⇒ Price of cheapest item = 3x = 3 × 1,049 = ₹3,147.

∴ The correct answer is ₹3,147.

Additional Information

Average Concept

The average is the central value of a set of data, calculated as Sum of observations ÷ Total number of observations.

Ratio and Proportion

If a total quantity S is divided in the ratio a : b : c, then the smallest part is (a ÷ (a + b + c)) × S.

Weighted Average

When items have different frequencies, Average = (n₁x₁ + n₂x₂ + ...) ÷ (n₁ + n₂ + ...).

Shortcut Trick

Total Weight = (Volume_cone × Density_cone) + (Volume_cylinder × Density_cylinder)

⇒ 594000/7 = [πr² × (1/3 × 5 × 200) + πr² × (10 × 100)]

⇒ 594000/7 = πr² × [1000/3 + 1000] ⇒ 594000/7 = (22/7) × r² × (4000/3)

⇒ 594 = 22 × r² × (4/3) ⇒ 27 = r² × (4/3)

⇒ r² = 81/4 = 20.25 ⇒ r = 4.5 m

∴ The correct answer is 4.5 metres.

Alternate Method

Given:

Density of base (ρ_b) = 100 kg/m³

Density of head (ρ_h) = 2 × 100 = 200 kg/m³

Total weight (W) = 594000/7 kg

Length of cylinder (h_b) = 10 m | Total length = 15 m

Length of cone (h_h) = 15 − 10 = 5 m

Calculations:

⇒ Total Weight = Weight of Base + Weight of Head

⇒ 594000/7 = [π × r² × h_b × ρ_b] + [1/3 × π × r² × h_h × ρ_h]

⇒ 594000/7 = π × r² × [10 × 100 + 1/3 × 5 × 200]

⇒ 594000/7 = (22/7) × r² × [1000 + 1000/3]

⇒ 594000 = 22 × r² × [4000/3]

⇒ 594000 × 3 = 22 × 4000 × r²

⇒ 1782000 = 88000 × r²

⇒ r² = 1782000 ÷ 88000 = 1782 ÷ 88

⇒ r² = 20.25

⇒ r = √20.25 = 4.5 m

∴ The correct answer is 4.5 metres.

Additional Information

Volume and Mass Relation

Mass (Weight) = Volume × Density. For a cylinder, V = πr²h. For a cone, V = 1/3 πr²h.

Common Geometry Dimensions

When a cone is mounted on a cylinder of the same radius, the total volume is the sum of their individual volumes: V_total = πr²(h_cyl + 1/3 h_cone).

Density Ratio

If the density of one part is 'n' times another, the mass contribution changes proportionally to the density factor.

Shortcut Trick

In 'Buy X Get Y Free' schemes, the Discount % = [Free Items ÷ Total Items (Paid + Free)] × 100.

Here, Paid items (X) = 5 and Free items (Y) = 3.

Total items = 5 + 3 = 8.

Discount % = (3 ÷ 8) × 100 = 37.5%.

∴ The correct answer is 37.5%.

Alternate Method

Given:

Items to be paid for = 5

Items given for free = 3

Total items received by the customer = 5 + 3 = 8

Let the Marked Price (MP) of each item be ₹1.

⇒ Total MP of 8 items = 8 × ₹1 = ₹8

⇒ Since the customer pays for only 5 items, the Selling Price (SP) = 5 × ₹1 = ₹5

⇒ Discount Amount = MP − SP = 8 − 5 = ₹3

⇒ Discount % = (Discount ÷ MP) × 100

⇒ Discount % = (3 ÷ 8) × 100

⇒ Discount % = 37.5%

∴ The correct answer is 37.5%.

Additional Information

Buy x Get y Free Concept

This is a form of discount where the customer pays for 'x' items but receives 'x + y' items. The denominator for percentage calculation is always the total quantity received.

Relation between MP, SP, and Discount

Discount is always calculated on the Marked Price (MP). Discount = MP − SP. Discount % = (Discount ÷ MP) × 100.

Successive Discounts

If a 'Buy 5 Get 3' scheme is combined with an additional 10% cash discount, the discounts are applied successively on the remaining SP.

Shortcut Trick

Ratio of numbers = 7 : 9 : 12

Difference between largest (12) and smallest (7) = 5 units

Given 5 units = 10 ⇒ 1 unit = 2

Total sum = 7 + 9 + 12 = 28 units

Sum = 28 × 2 = 56

∴ The correct answer is 56.

Alternate Method

Given:

The ratio of three numbers is 7 : 9 : 12.

The difference between the smallest and largest numbers is 10.

Calculations:

Let the three numbers be 7x, 9x, and 12x.

⇒ Smallest number = 7x

⇒ Largest number = 12x

⇒ Difference = 12x − 7x = 5x

⇒ 5x = 10

⇒ x = 10 ÷ 5 = 2

⇒ Sum of the numbers = 7x + 9x + 12x

⇒ Total sum = 28x

⇒ Total sum = 28 × 2 = 56

∴ The correct answer is 56.

Additional Information

Ratio Definition

A ratio is a comparison of two or more quantities of the same kind by division, denoted as a : b.

Proportion Rule

If four quantities a, b, c, d are in proportion (a : b = c : d), then the product of extremes equals the product of means (ad = bc).

Mean Proportional

The mean proportional between two numbers a and b is given by √(a × b).

Compounded Ratio

The compounded ratio of (a : b) and (c : d) is calculated as (a × c) : (b × d).

Shortcut Trick

Convert all numbers to have the same number of decimal places: 5.00, 8.30, and 0.19.

Treat them as integers by removing the decimal: 500, 830, and 19.

Find the LCM of 500, 830, and 19:

LCM(500, 830, 19) = 10 × 50 × 83 × 19 = 788500.

Adjust the decimal point back by 2 places: 788500 ÷ 100 = 7885.

∴ The correct answer is 7885.

Alternate Method

Given: The numbers are 5, 8.3, and 0.19.

Formula Used: LCM of Fractions = LCM of Numerators ÷ HCF of Denominators.

⇒ Write the numbers as fractions with a common denominator: 5 = 500/100, 8.3 = 830/100, 0.19 = 19/100.

⇒ Numerators: 500, 830, 19. Denominators: 100, 100, 100.

⇒ Factorize numerators: 500 = 2² × 5³ | 830 = 2 × 5 × 83 | 19 = 19 (Prime).

⇒ LCM(500, 830, 19) = 2² × 5³ × 83 × 19.

⇒ LCM(500, 830, 19) = 4 × 125 × 83 × 19 = 500 × 1577 = 788500.

⇒ HCF of denominators = HCF(100, 100, 100) = 100.

⇒ LCM of decimals = 788500 ÷ 100 = 7885.

∴ The correct answer is 7885.

Additional Information

LCM of Fractions

The LCM of a set of fractions is calculated as LCM of Numerators ÷ HCF of Denominators.

HCF of Fractions

The HCF of a set of fractions is calculated as HCF of Numerators ÷ LCM of Denominators.

Like Decimals

To find the LCM or HCF of decimals, always convert them to like decimals (same number of decimal places) first to avoid calculation errors.

Co-prime Numbers

If a set of numbers contains prime numbers that do not divide the other numbers, the LCM will include those primes as direct factors.

Shortcut Trick

According to the property of averages, if every number in a data set is increased by a constant value k, the average of the set also increases by exactly k.

Given Old Average = 45 and Increase (k) = 4.

New Average = 45 + 4 = 49.

∴ The correct answer is 49.

Alternate Method

Given:

Total numbers (n) = 8

Initial average = 45

Increment per number = 4

Formula Used:

Sum of observations = Average × Number of observations

New Average = New Sum ÷ Number of observations

⇒ Total initial sum = 45 × 8 = 360

⇒ Total increase in sum = 4 × 8 = 32

⇒ New total sum = 360 + 32 = 392

⇒ New Average = 392 ÷ 8

⇒ New Average = 49

∴ The correct answer is 49.

Additional Information

Constant Subtraction Property

If every number in a set is decreased by a constant k, the new average will be Old Average − k.

Constant Multiplication Property

If every number is multiplied by a constant k, the new average will be Old Average × k.

Constant Division Property

If every number is divided by a non-zero constant k, the new average will be Old Average ÷ k.

Average Definition

Average is the sum of all observations divided by the total number of observations: Avg = ∑x ÷ n.

Shortcut Trick

Ratio of profit distribution = (Investment_A × Time_A) : (Investment_B × Time_B)

Profit Ratio = (21,000 × 48 months) : (32,000 × 45 months)

Simplified Ratio = (21 × 48) : (32 × 45) ⇒ 1008 : 1440 ⇒ 7 : 10

Total units = 7 + 10 = 17 units → ₹40,800

A's share = (40,800 ÷ 17) × 7 = 2,400 × 7 = ₹16,800

∴ The correct answer is ₹16800.

Alternate Method

Given:

Investment of A = ₹21,000

Investment of B = ₹32,000

Investment period of A = 4 years = 48 months

Investment period of B = 4 years − 3 months = 45 months

Total Profit = ₹40,800

Formula Used:

Profit Share = Investment × Time Period

⇒ Profit of A : Profit of B = (21,000 × 48) : (32,000 × 45)

⇒ Profit Ratio = (21 × 48) : (32 × 45)

⇒ Profit Ratio = 1008 : 1440

⇒ Dividing both sides by 144: 7 : 10

⇒ Total Profit units = 7 + 10 = 17 units

⇒ 17 units = ₹40,800

⇒ 1 unit = 40,800 ÷ 17 = ₹2,400

⇒ A's profit share = 7 units × ₹2,400

⇒ A's profit share = ₹16,800

∴ The correct answer is ₹16800.

Additional Information

Partnership Ratio Rule

The profit earned in a partnership is distributed among the partners in the ratio of the product of their capital and the time duration for which the capital was invested.

Compound Partnership

When partners invest different amounts for different periods of time, it is called a compound partnership. The formula is P₁ : P₂ = (C₁ × T₁) : (C₂ × T₂).

Active vs. Sleeping Partner

An active partner manages the business and may receive a fixed salary or commission before the remaining profit is distributed according to the investment ratio.

Shortcut Trick

The Perimeter of a Semicircle consists of the Curved Arc (πr) and the Straight Diameter (2r).

Given Radius (r) = 5 cm.

Perimeter = π(5) + 2(5) = 5π + 10 cm.

∴ The correct answer is (5π + 10) cm.

Alternate Method

Given:

Radius (r) of the Semicircular design = 5 cm

Formula Used:

Perimeter of Semicircle = Length of Arc + Diameter

Perimeter = πr + 2r

Calculations:

⇒ Radius (r) = 5 cm

⇒ Perimeter = π × 5 + 2 × 5

⇒ Perimeter = 5π + 10

∴ The correct answer is (5π + 10) cm.

Additional Information

Area of Semicircle

The total space occupied by a semicircle is half the area of a full circle: Area = (1/2)πr².

Circumference of a Circle

The total boundary of a full circle is called its circumference, calculated as C = 2πr.

Perimeter of a Quadrant

A quadrant is one-fourth of a circle. Its perimeter includes the arc and two radii: Perimeter = (πr/2) + 2r.

Diameter Relation

The diameter (d) is the longest chord of a circle and is equal to twice the radius: d = 2r.

Shortcut Trick

Ratio of A's marks to B's marks = 75 : 54

Divide both by 3 → 25 : 18

Required percentage = (25 ÷ 18) × 100

Since 1/18 ≈ 5.55%, 25 × 5.55% ≈ 138.89%

∴ The correct answer is 138.89%.

Alternate Method

Given:

Marks obtained by B = 54

Marks obtained by A = 75

Maximum marks = 105

Formula Used:

Required Percentage = (Value to be compared ÷ Base Value) × 100

⇒ Required Percentage = (Marks of A ÷ Marks of B) × 100

⇒ Percentage = (75 ÷ 54) × 100

⇒ Percentage = (25 ÷ 18) × 100

⇒ Percentage = 2500 ÷ 18

⇒ Percentage = 138.888...

⇒ Percentage ≈ 138.89%

∴ The correct answer is 138.89%.

Additional Information

Base Value Identification

In percentage problems, the value following the word 'of' or 'than' is usually taken as the base (denominator). Here, 'of B's marks' makes 54 the base.

Percentage vs Marks

The maximum marks (105) are irrelevant when comparing A's marks directly to B's marks unless finding individual percentages.

Fractional Conversions

Common fractions like 1/9 = 11.11% and 1/18 = 5.55% help in solving complex division problems faster during competitive exams.

Shortcut Trick

Relative speed (opposite direction) = Sum of speeds.

Meeting 1: T₁ = 504 ÷ (9 + 27) = 14 sec.

Meeting 2: New speeds are 27 and 9. T₂ = 504 ÷ (27 + 9) = 14 sec.

Meeting 3: New speeds are 81 and 3. T₃ = 504 ÷ (81 + 3) = 504 ÷ 84 = 6 sec.

Total time = 14 + 14 + 6 = 34 sec.

∴ The correct answer is 34 sec.

Alternate Method

Given: Length of circular track (L) = 504 m, Initial speed of X (V_x) = 9 m/s, Initial speed of Y (V_y) = 27 m/s.

Formula: Time taken to meet = Distance ÷ Relative Speed

Step 1: First Meeting

⇒ Relative Speed = 9 + 27 = 36 m/s

⇒ Time for 1^st meeting (T₁) = 504 ÷ 36 = 14 sec

Step 2: Second Meeting

⇒ New speed of X = 9 × 3 = 27 m/s

⇒ New speed of Y = 27 ÷ 3 = 9 m/s

⇒ New Relative Speed = 27 + 9 = 36 m/s

⇒ Time for 2^nd meeting (T₂) = 504 ÷ 36 = 14 sec

Step 3: Third Meeting

⇒ New speed of X = 27 × 3 = 81 m/s

⇒ New speed of Y = 9 ÷ 3 = 3 m/s

⇒ New Relative Speed = 81 + 3 = 84 m/s

⇒ Time for 3^rd meeting (T₃) = 504 ÷ 84 = 6 sec

Total Time:

⇒ Total Time = T₁ + T₂ + T₃ = 14 + 14 + 6 = 34 sec

∴ The correct answer is 34 sec.

Additional Information

Relative Speed on Circular Tracks

When two objects move in opposite directions, the relative speed is the sum (V₁ + V₂). If they move in the same direction, it is the difference |V₁ − V₂|.

Meeting Points

On a circular track, the time taken for the first meeting is given by Track Length ÷ Relative Speed. Subsequent meetings follow the same logic based on the updated positions and speeds.

Speed Ratio Property

If the speeds of two objects are in the ratio a:b (in simplest form), they will meet at (a + b) distinct points when moving in opposite directions and |a − b| points in the same direction.

Shortcut Trick

Total interest percentage = Rate × Time

Total effective interest = 8% × 3 = 24%

According to the question: 24% of Principal = ₹1680

Principal (100%) = (1680 ÷ 24) × 100 = 70 × 100 = ₹7000

∴ The correct answer is ₹7000.

Alternate Method

Given:

Simple Interest (SI) = ₹1680

Time (T) = 3 years

Rate (R) = 8% per annum

Formula Used:

SI = (P × R × T) ÷ 100

Calculations:

⇒ 1680 = (P × 8 × 3) ÷ 100

⇒ 1680 = (P × 24) ÷ 100

⇒ P × 24 = 1680 × 100

⇒ P = 168000 ÷ 24

⇒ P = ₹7000

∴ The correct answer is ₹7000.

Additional Information

Total Amount (A)

The total sum returned after adding interest to the principal. Formula: A = P + SI = P(1 + RT/100).

Effective Rate of Interest

For simple interest, the effective rate for the entire duration is simply (Rate × Time)%.

Variation Rule

If the Principal and Time are constant, the Simple Interest is directly proportional to the Rate of Interest.

Unitary Method for SI

If SI for 3 years is ₹1680, then SI for 1 year = 1680 ÷ 3 = ₹560. Since this is 8% of P, P = (560 ÷ 8) × 100 = ₹7000.

Shortcut Trick Let the total capacity of the cistern be the LCM of 7 and 56 = 56 units. Efficiency of inlet tap = 56 ÷ 7 = +8 units/hr Efficiency of outlet tap = 56 ÷ 56 = −1 unit/hr Combined efficiency = 8 − 1 = 7 units/hr Time required to fill half tank (28 units) = 28 ÷ 7 = 4 hours. ∴ The correct answer is 4 hr.Alternate Method Given: Time taken by filling tap (Tap A) = 7 hr Time taken by emptying tap (Tap B) = 56 hr Formula Used: Total Capacity = LCM of individual times Efficiency = Total Work ÷ Time Time Taken = Capacity to be filled ÷ Net Efficiency

Tap Time (hr) Total Capacity (LCM) Efficiency

Tap A (Filling) 7 56 +8

Tap B (Emptying) 56 −1

Calculations: Net efficiency of both taps working together: ⇒ Net Efficiency = 8 + (−1) = 7 units/hr We need to find the time required to fill half of the tank: ⇒ Half capacity = 56 ÷ 2 = 28 units Time taken to fill half capacity: ⇒ Time = 28 ÷ 7 = 4 hr ∴ The correct answer is 4 hr.Additional Information Inlet and Outlet Pipes An inlet pipe fills a tank (positive efficiency), while an outlet pipe empties it (negative efficiency). The effective rate is the algebraic sum of their individual efficiencies. Pipes and Cisterns Formula If a pipe fills a tank in X hours and another empties it in Y hours, the time taken to fill the empty tank when both are open simultaneously is given by (X × Y) ÷ (Y − X) hours, provided Y > X. Alternate Operation When pipes are opened in alternate hours, the net work completed is computed per cycle (e.g., 2 hours) by adding the work done in successive hours.

Shortcut Trick Calculate the ratio of Cost Price (CP) to Selling Price (SP). CP : SP = 1200 : 1440 ⇒ 120 : 144 ⇒ 5 : 6 Profit = 6 − 5 = 1 unit on a base of 5 units. Profit % = (1 ÷ 5) × 100 = 20% ∴ The correct answer is 20%.

Alternate Method Given: Total quantity of rice = 40 kg Total Cost Price (CP) = ₹1,200 Total Selling Price (SP) = ₹1,440 Formula Used: Profit = SP − CP Profit % = (Profit ÷ CP) × 100

Calculations: ⇒ Profit = 1440 − 1200 = ₹240 ⇒ Profit Percentage = (240 ÷ 1200) × 100 ⇒ Profit % = (1 ÷ 5) × 100 ⇒ Profit % = 20% ∴ The correct answer is 20%.

Additional Information Cost Price and Selling Price Cost Price (CP) is the price at which an item is purchased, and Selling Price (SP) is the price at which it is sold. Profit and Loss Conditions If SP > CP, there is a profit. If CP > SP, there is a loss. Loss % = (Loss ÷ CP) × 100. Marked Price and Discount Discount is always calculated on the Marked Price (MP). SP = MP − Discount.

Shortcut Trick

Count total decimal places: Numerator has 5 (3+2) and Denominator has 5 (2+3).

Since they are equal, remove decimals: √[(127 × 13) / (127 × 2197)].

Cancel 127 and simplify the fraction: √[13 / 2197] = √[1 / 169].

The square root of 1/169 is 1/13.

∴ The correct answer is 1/13.

Alternate Method

Given:

Expression = √[((0.127) × (0.13)) / ((1.27) × (2.197))]

Formula Used:

Square root property: √(a × b / c × d) and Decimal to Fraction conversion.

Calculations:

⇒ Expression = √[ (127/1000 × 13/100) / (127/100 × 2197/1000) ]

⇒ Expression = √[ (127 × 13 / 10⁵) / (127 × 2197 / 10⁵) ]

⇒ Expression = √[ (127 × 13) / (127 × 2197) ]

⇒ Expression = √[ 13 / 2197 ]

⇒ Expression = √[ 1 / 169 ]

⇒ Expression = 1 / 13

∴ The correct answer is 1/13.

Additional Information

Decimal Balancing Rule

When the total number of decimal places in the numerator equals those in the denominator, the decimal points can be ignored during division.

Common Cubes

Recognizing cubes like 11³ = 1331, 12³ = 1728, and 13³ = 2197 is essential for fast simplification in competitive exams.

Square Root of Fractions

The square root of a fraction is the square root of the numerator divided by the square root of the denominator: √(x/y) = √x / √y.

Shortcut Trick

The Effective Interest Rate for two successive years with rates r₁ and r₂ is given by: r₁ + r₂ + (r₁ × r₂) ÷ 100

Here, r₁ = 4% and r₂ = 4% + 1% = 5%.

Effective Rate = 4 + 5 + (4 × 5) ÷ 100 = 9 + 0.2 = 9.2%

Compound Interest = 9.2% of ₹57,500 = (9.2 ÷ 100) × 57,500 = 9.2 × 575 = ₹5,290.

∴ The correct answer is ₹5,290.

Alternate Method

Given:

Principal (P) = ₹57,500

Rate for 1^st Year (r₁) = 4%

Rate for 2^nd Year (r₂) = 4% + 1% = 5%

Time (n) = 2 years

Formula Used:

Amount (A) = P × (1 + r₁/100) × (1 + r₂/100)

Compound Interest (CI) = Amount − Principal

Calculations:

⇒ Interest for the 1^st year = 57,500 × (4 ÷ 100) = ₹2,300

⇒ Amount after the 1^st year = 57,500 + 2,300 = ₹59,800

⇒ Interest for the 2^nd year = 59,800 × (5 ÷ 100) = ₹2,990

⇒ Total Compound Interest = Interest of 1^st year + Interest of 2^nd year

⇒ Total Compound Interest = 2,300 + 2,990 = ₹5,290

∴ The correct answer is ₹5,290.

Additional Information

Successive Percentage Increase

When a value increases by x% and then by y%, the net percentage increase is given by the formula x + y + (xy ÷ 100).

Compound Interest with Different Rates

For different rates r₁, r₂, r₃... for consecutive years, Amount = P(1 + r₁/100)(1 + r₂/100)(1 + r₃/100)...

Relationship between SI and CI

For the first year (if compounded annually), the Simple Interest and Compound Interest on the same principal and rate are always equal.

Shortcut Trick

Let total goods be 100 units. Part 1: 45 units at +32%.

Part 2: 20% of 55 = 11 units at +46%.

Part 3: 100 − 45 − 11 = 44 units at −24%.

Net Profit x = [(45 × 32) + (11 × 46) − (44 × 24)] ÷ 100

x = [1440 + 506 − 1056] ÷ 100 = 8.9%

∴ The correct answer is 8.9%.

Alternate Method

Given:

First part of goods = 45% at profit 32%

Second part of goods = 20% of (100 − 45)% = 11% at profit 46%

Remaining part of goods = 100 − 45 − 11 = 44% at loss 24%

Formula Used:

Overall Profit/Loss % (x) = (w₁p₁ + w₂p₂ + w₃p₃) ÷ (w₁ + w₂ + w₃)

Calculations:

⇒ x = [45 × 32 + 11 × 46 + 44 × (−24)] ÷ 100

⇒ x = [1440 + 506 − 1056] ÷ 100

⇒ x = [1946 − 1056] ÷ 100

⇒ x = 890 ÷ 100

⇒ x = 8.9

∴ The correct answer is 8.9%.

Additional Information

Weighted Average Profit

When different portions of goods are sold at different profit or loss rates, the overall profit percentage is the weighted average of individual rates based on their quantity ratios.

Net Profit or Loss

If the final value (x) is positive, it represents a net profit; if negative, it represents a net loss.

Total Selling Price

Total SP = Total CP × (100 + x) ÷ 100, where x is the overall profit percentage calculated using the quantity weights.

The correct answer is Option (3) i.e. 'Maintainance'.

Key Points

• The word 'Maintainance' is the wrongly spelled word in the given options. It is a common misspelling of the word that refers to the act of keeping something in good condition or the process of preserving a particular state. (रखरखाव)
• Example: The homeowner was shocked by the high maintainance costs of the old heritage property.
• 'Maintenance' is the correct spelling of the word. It signifies the functional upkeep of machinery, buildings, or systems to ensure they continue to operate correctly. (रखरखाव/देखभाल)
• Example: The maintenance department is scheduled to inspect the ventilation system tomorrow morning.
• Hence, we can conclude that the misspelt word is 'Maintainance'.

Therefore, the correct answer is- Maintainance.

Additional Information

Here are the other options explained along with their Hindi meanings and example sentences:

• Surprise (आश्चर्य): An unexpected or astonishing event, fact, or thing that causes someone to feel amazement.
• Example: The surprise announcement of his resignation left the entire board of directors in shock.
• Argument (तर्क/बहस): An exchange of diverging or opposite views, typically a heated or angry one, or a set of reasons given in support of an idea.
• Example: They had a long argument about which route would be the fastest to reach the destination.
• Calendar (पंचांग/कैलेंडर): A chart or series of pages showing the days, weeks, and months of a particular year, or a schedule of upcoming events.
• Example: I need to check my calendar before I can confirm our meeting for next Thursday.

The correct answer is: Man of straw.

Key Points

• The phrase 'Weak person' refers to an individual who lacks physical strength, character, or the willpower to face difficult situations. (कमजोर व्यक्ति)
• Example: Because he was considered a weak person, no one expected him to stand up against the injustice.
• 'Man of straw' is an idiom used to describe a person who has a weak character, lacks substance, or is easily defeated or controlled by others. (अशक्त व्यक्ति / प्रभावहीन व्यक्ति)
• Example: The corrupt officials wanted a man of straw as the department head so they could continue their illegal activities.
• Hence, the phrase 'weak person' in the given sentence should be replaced by 'man of straw' to convey the intended meaning idiomatically.

Therefore, the correct answer is- Man of straw.

Additional Information

Here are the other options explained along with their Hindi meanings and example sentences:

• Dare devil (दुस्साहसी): A person who is reckless and takes dangerous risks without fear.
• Example: The dare devil performed a stunt jumping over ten cars on his motorcycle.
• Man of letters (विद्वान/साहित्यकार): A person who is a scholar or is deeply involved in literary activities.
• Example: Being a man of letters, he spent most of his time in the national library.
• Last straw (अंतिम समस्या): The final problem in a series of unpleasant events that makes the situation intolerable.
• Example: I was already having a bad day, and losing my keys was the last straw.

The correct answer is accomodation → accommodation.

Key Points

• The original sentence contains the misspelling accomodation, which is one of the most common orthographic errors in English due to the omission of the second 'm'.
• The correct spelling is accommodation, which features double 'c' and double 'm' (a-c-c-o-m-m-o-d-a-t-i-o-n).
• The word is derived from the Latin verb accommodare, where the prefix ad- (meaning to or towards) undergoes consonant assimilation to become ac- before the root -commodare.
• In lexicography, the root commodus refers to something being fit, suitable, or convenient, which is consistent with the word's meaning of providing suitable housing or space.
• The spelling is consistent across both British English and American English, making it a standard requirement for formal academic writing.
• The structure of the word includes the suffix -ion, which transforms the verb accommodate into a noun indicating a state, condition, or result of an action.

 Additional Information

• Contextual Definitions:
• Housing and Lodging: In the context of visiting scholars, the term refers to the residential facilities or lodging provided by an institution.
• Physiological Process: In biology and ophthalmology, accommodation describes the ability of the eye to change its focal length to see objects at different distances clearly.
• Sociological Adjustment: In social sciences, it refers to the process by which conflicting parties reach a compromise or adjust to one another without necessarily resolving the underlying conflict.
• Linguistic Mnemonic:
• To avoid future errors, learners are often taught that a large accommodation needs enough space for two 'c'ots and two 'm'attresses.
• Related Terms:
• Accommodate: The verb form meaning to provide lodging or to adapt to someone's needs.
• Commodious: An adjective derived from the same root, meaning roomy or spacious.

The correct answer is: arboreal.

Key Points

• The phrase 'animals living in trees' refers to species that spend the majority of their lives in the canopy of forests, having adapted to find food and safety high above the ground. (पेड़ों पर रहने वाले जानवर)
• Example: The rainforest is densely populated with various animals living in trees, each occupying a specific level of the canopy.
• 'Arboreal' is a term used to describe animals that live in or among trees; it can also refer to things relating to or resembling a tree. (वृक्ष-संबंधी / पेड़ों पर रहने वाला)
• Example: Many species of monkeys and squirrels are strictly arboreal, rarely descending to the forest floor.
• Hence, we can infer that the most appropriate word to substitute the given phrase is 'arboreal'.

Therefore, the correct answer is: arboreal.

Additional Information

Here are the other options explained along with their Hindi meanings and example sentences:

• Aquatic (जलीय): Living or growing in, happening in, or connected with water.
• Example: Dolphins and whales are aquatic mammals that have adapted to live their entire lives in the ocean.
• Herbivores (शाकाहारी): Animals that feed primarily or exclusively on plants.
• Example: Elephants and giraffes are large herbivores that play a vital role in their ecosystems by grazing.
• Terrestrial (स्थलीय): Living on the land or on the ground, rather than in water or in the air.
• Example: Lions and tigers are terrestrial predators that hunt on the open savannas.

The correct answer is QSRP.

Key Points

• The fixed opening part S1 introduces the subject phrase The establishment of, which requires a noun or noun phrase to function as the object of the preposition. Part Q provides this with well-constructed pedestrian pavements and includes the linking verb is not. Hence, statement Q is correct.
• The presence of is not at the end of part Q suggests the beginning of a correlative conjunction. Part S follows with only a matter of safety, forming the first half of the not only structure. Hence, statement S is correct.
• To maintain grammatical balance, the phrase not only must be followed by but also. Part R provides the phrase but also contributes to, which logically transitions from the safety aspect to further benefits. Hence, statement R is correct.
• The preposition to at the end of part R requires a gerund or noun. Part P provides the gerund promoting along with the adjectives sustainable and greener, which correctly modify the final fixed part S6, modes of transportation. Hence, statement P is correct.

 Additional Information

• Correlative Conjunctions:
• These are pairs of words such as not only... but also, both... and, and neither... nor used to join equal grammatical elements.
• In the given sentence, they link two distinct advantages of pedestrian infrastructure.
• Sustainable Transportation:
• This refers to transit methods that have a low impact on the environment, including walking, cycling, and green vehicles.
• The establishment of better pedestrian pavements is a key strategy in urban planning to reduce carbon emissions.
• Grammatical Parallelism:
• Parallelism ensures that multiple parts of a sentence have the same grammatical structure, making the sentence easier to read and understand.
• The flow from safety to sustainable modes highlights the dual purpose of urban design.

The correct answer is 'so that / and'.

 

Key Points

• The phrase 'so that' is a subordinating conjunction used to introduce a clause that expresses purpose or intent. In this context, it explains why he worked hard (to pass the exam).
• The word 'and' is a coordinating conjunction used to connect words, phrases, or clauses of equal importance. Here, it connects two positive goals: 'pass the exam' and 'secure a scholarship'.
• The resulting sentence indicates a logical progression from hard work to a desired purpose and an additional positive outcome.

Therefore, the correct answer is Option 1.

 

Complete Sentence: 'He worked hard so that he could pass the exam and secure a scholarship.'

 

Additional Information

• Option 2: 'although / or' is incorrect because 'although' shows contrast (concession), which does not fit the logic of the action and its intended goal.
• Option 3: 'unless / so' is incorrect because 'unless' introduces a negative condition (except if), which changes the meaning entirely.
• Option 4: 'because / but' is incorrect because 'but' introduces a contrast, whereas passing the exam and securing a scholarship are complementary outcomes.

The correct answer is: fell flat.

Key Points

• The phrase 'failed to produce any real impact' refers to a situation where an effort, idea, or statement does not have the intended effect or fails to influence people as expected. (कोई वास्तविक प्रभाव डालने में विफल रहा)
• Example: The company's new advertising strategy failed to produce any real impact on their quarterly sales.
• The idiom 'fell flat' is used to describe something that fails completely to produce the desired or expected effect, especially when something meant to be funny or impressive receives no response. (पूरी तरह से असफल होना या कोई प्रभाव न डालना)
• Example: The comedian's closing joke fell flat, and the audience remained silent.
• Hence, the idiom 'fell flat' is the most suitable replacement for the underlined text in the given sentence.

Therefore, the correct answer is: fell flat.

Additional Information

Here are the other options explained along with their Hindi meanings and example sentences:

• Went down in flames (बुरी तरह से विफल होना): To fail spectacularly or to be completely ruined in a sudden or dramatic way.
• Example: Their relationship went down in flames after a series of heated arguments.
• Bit the dust (पराजित होना या नष्ट होना): To fail, to end, to be defeated, or even to die.
• Example: After ten years of service, my old laptop finally bit the dust this morning.
• Hit the sack (सोने जाना): An informal way to say that someone is going to bed.
• Example: I have a very early flight tomorrow, so I need to hit the sack right now.

The correct answer is ACBD.

Key Points

• Segment A serves as the Noun Phrase and the primary Subject of the sentence, introducing the central theme of allergy management.
• Segment C follows immediately because it provides the Linking Verb 'is', which connects the subject to its Complement. It introduces the first preventive strategy: avoiding triggers.
• Segment B contains the adjective possible, which completes the Adverbial Clause 'whenever possible' initiated in the previous segment. It also uses the Coordinating Conjunction 'and' to transition to the secondary action of medical intervention.
• Segment D completes the sentence by providing the object medications, forming the compound term anti-allergy medications, and concludes with the Prepositional Phrase 'after exposure' to define the specific timing for treatment.

 Additional Information

• Sentence Structure:
• The sentence follows a logical flow of Prevention followed by Cure. In healthcare communication, the primary advice is always Avoidance (Part C), while the secondary advice is Medication (Part D).
• The phrase whenever possible is a common Parenthetical Expression used to add a condition of feasibility to a statement.
• The term Anti-allergy acts as a Compound Adjective modifying the noun medications, requiring the segments to be joined in the order of B followed by D.
• The use of Promptly (an adverb) before the verb take emphasizes the necessity of immediate action following allergen exposure.

The correct answer is: Pungent.

Key Points

• The phrase 'Smelling or tasting very strong and sharp' refers to a quality that is intense, biting, or piercing to the senses of smell or taste. (तीखा या तेज़ गंध या स्वाद)
• Example: The pungent smell of vinegar made him wrinkle his nose.
• 'Pungent' means having a sharply strong taste or smell; it is often used to describe things like onions, garlic, or strong spices. (तीखा/कटु)
• Example: The pungent aroma of the spices filled the entire marketplace.
• Therefore, the correct answer is- Pungent.

Additional Information

Here are the other options explained along with their Hindi meanings and example sentences:

• Savory (नमकीन/स्वादिष्ट): Belonging to the category that is salty or spicy rather than sweet.
• Example: We enjoyed a variety of savory appetizers before the main course.
• Robust (मजबूत/तगड़ा): Strong and healthy; vigorous; or having a rich and full-bodied flavor.
• Example: This red wine has a very robust and earthy flavor.
• Zesty (चटपटा/ज़ायकेदार): Having a strong, pleasant, and somewhat spicy or citrusy flavor.
• Example: The chef added a zesty lime dressing to the fresh salad.

The correct answer is 'when'.

 

Key Points

• The word 'when' is a conjunction of time used to indicate that one event happens at the same time as another or immediately after.
• In the given sentence, the speaker is expressing an intention to perform an action (call you) at the specific moment they reach home.
• The sentence follows the structure of a future time clause, where the main clause is in the future tense ('will call') and the time clause is in the simple present tense ('reach').

Therefore, the correct answer is Option 3.

 

Complete Sentence: 'I will call you when I reach home.'

 

Additional Information

• Unless is used to introduce a condition and means 'except if'. Example: 'I will not go unless you come with me.'
• Although is used to show a contrast or concession between two clauses. Example: 'Although it was raining, we went for a walk.'
• Whereas is used to compare or contrast two facts or ideas. Example: 'I like tea, whereas my sister likes coffee.'

The correct answer is 'an, a'.

 

Key Points

• The article 'an' is used before words that begin with a vowel sound. In the word 'umbrella', the letter 'u' produces the vowel sound /ʌ/ (as in 'up'), so 'an umbrella' is the correct usage.
• The article 'a' is used before words that begin with a consonant sound. The word 'raincoat' begins with the consonant sound /r/, so 'a raincoat' is the correct usage.
• The choice between 'a' and 'an' depends on the phonetic sound of the first letter of the following word, rather than the literal letter itself.

Therefore, the correct answer is Option 2.

 

Complete Sentence: 'He bought an umbrella and a raincoat before the trip.'

 

Additional Information

• Option 1: 'an, an' is incorrect because 'raincoat' does not start with a vowel sound.
• Option 3: 'a, an' is incorrect because 'umbrella' requires 'an' and 'raincoat' requires 'a'.
• Option 4: 'a, a' is incorrect because 'umbrella' starts with a vowel sound, necessitating 'an'.

The correct answer is: fervent.

Key Points

• The word 'impassive' means not feeling or showing emotion; being expressionless or calm even under pressure. (भावशून्य/शांत)
• Example: Despite the judge's harsh sentence, the defendant's face remained impassive.
• 'fervent' refers to having or displaying a passionate intensity or having very strong feelings about something, which is the opposite of being emotionless. (उत्साही/जोशीला)
• Example: The fans offered a fervent prayer for their team's victory in the final match.
• Hence, we can infer that the opposite of 'impassive' is 'fervent'.

Therefore, the correct answer is: fervent.

Additional Information

Here are the other options explained along with their Hindi meanings and example sentences:

• gloomy (उदास): Feeling distressed, pessimistic, or dark and poorly lit.
• Example: The rainy weather made everyone feel quite gloomy.
• callous (कठोर/निर्दयी): Showing or having an insensitive and cruel disregard for others.
• Example: His callous comments about the accident victims shocked the community.
• skeptical (संदेहपूर्ण): Not easily convinced; having doubts or reservations.
• Example: Scientists are skeptical about the claims of the new miracle drug.

The correct answer is: tolerance.

Key Points

• The word 'forbearance' refers to the quality of being patient and being able to forgive someone or control oneself in a difficult situation. (सहनशीलता)
• Example: The judge praised the witness for her forbearance during the aggressive cross-examination.
• 'Tolerance' refers to the ability or willingness to accept something, in particular the existence of opinions or behavior that one does not necessarily agree with. (सहनशीलता)
• Example: The organization encourages tolerance and understanding between different religious groups.
• Hence, we can infer that the synonym of 'forbearance' is 'tolerance'.

Therefore, the correct answer is- tolerance.

Additional Information

Here are the other options explained along with their Hindi meanings and example sentences:

• Excitement (उत्साह): A feeling of great enthusiasm and eagerness.
• Example: The news of the trip caused great excitement among the students.
• Impatience (अधीरता): A lack of patience or a restless desire for change or excitement.
• Example: His impatience grew as he waited for the delayed train.
• Anger (क्रोध): A strong feeling of annoyance, displeasure, or hostility.
• Example: He found it difficult to hide his anger when he realized he had been lied to.

The correct answer is 'hazardous'.

 

Key Points

• The word hazardous is an adjective that means risky, dangerous, or involving exposure to very great danger.
• In the given sentence, the preposition 'despite' is used to introduce a fact that makes something else surprising. It indicates a contrast between the dangerous conditions and the undeterred action of the rescue team.
• A rescue team typically operates in environments that are perilous or unsafe, making hazardous the most appropriate choice.

Therefore, the correct answer is Option 2.

 

Complete Sentence: 'Despite the hazardous conditions, the rescue team continued their operation without hesitation.'

 

Additional Information

• Option 1: 'luxurious' means extremely comfortable, elegant, or enjoyable, which does not fit the context of a rescue mission.
• Option 3: 'tedious' means too long, slow, or dull; tiresome or monotonous.
• Option 4: 'spacious' refers to something (usually a room or building) having ample space.

The correct answer is 'the, the'.

 

Key Points

• The definite article 'the' is used before the names of unique and famous works of art, monuments, and buildings. Therefore, we use 'the' before 'Mona Lisa'.
• The word 'same' is almost always preceded by the definite article 'the' when it refers to a person or thing that has already been mentioned in the context.
• In the second blank, 'the same painting' refers back to the Mona Lisa mentioned earlier in the sentence.

Therefore, the correct answer is Option 3.

 

Complete Sentence: "During our visit to the museum, we saw the Mona Lisa in reality and later attended a lecture on how light was used in the same painting to guide the viewer’s gaze."

 

Additional Information

• Indefinite Articles (a/an): These are used for non-specific or generic nouns or when introducing a singular countable noun for the first time.
• Since the Mona Lisa is a specific, well-known masterpiece, using the indefinite article 'a' would be grammatically inappropriate in this context.

The correct answer is Option 2.

 

Key Points

• The word disrupted means to interrupt an event, activity, or process by causing a disturbance or problem, or to throw something into disorder.
• In the context of the passage, the naturalist Fabre tried to disrupt (interfere with or break the order of) the wasp's routine by moving the prey.
• The word organized means to arrange several elements into a structured or orderly whole, or to make something systematic and functional.
• Since disrupting involves breaking established order and organizing involves creating or maintaining order, they are antonyms.
• Thus, the most appropriate antonym for the given word is organized.

Therefore, the correct answer is Option 2.

 

Additional Information

• Perception refers to the ability to see, hear, or become aware of something through the senses; it is a mental understanding or interpretation of information.
• Advantage refers to a condition or circumstance that puts one in a favorable or superior position compared to others.
• Abundant refers to something existing or available in large quantities or being plentiful.
• None of these terms provide a direct opposite meaning to the act of causing disorder or interruption.