DSSSB PRT Official Paper (Held On: 17 Feb, 2026 Shift 1) (Previous Year Paper)

Pattern followed here,

Hence, the correct answer is “Option 4”.

For RSV − ZAD

For TUX − BCF

Similarly, let's find the pair that follows this pattern:

For EFI − MNQ

Hence, the correct answer is “Option 4”.

Given,

LAMP is coded as 6829

LAME is coded as 2619

Code for "E" is "1".

Hence, the correct answer is “Option 3”.

Seven people, R, O, A, M, I, N and G, are sitting in a row, facing north.

1. Only three people sit to the left of M.
2. Only R sits to the right of G.
3. Only three people sit between G and O.
4. I sits at some place to the left of A but at some place to the right of N.

Three people sit between N and A.

Hence, the correct answer is “Option 3”.

Mirror image of given figure is:

Hence, the correct answer is “Option 3”.

BODMAS Table: 

Given equation: 12 B 4 D 8 A 2 C 6 = ?

Now, replacing the symbols:

⇒ 12 × 4 - 8 ÷ 2 + 6 = ?

⇒ 12 × 4 - 8 ÷ 2 + 6 = ?

⇒ 48 - 4 + 6 = ?

⇒ 48 - 4 + 6 = ?

⇒ 44 + 6 = ?

⇒ 50.

Hence, the correct answer is "Option 1".

BODMAS Table: 

Given equation: 18 - 2 ÷ 3 + 5 × 16 = ?

Now, interchanging the symbols:

⇒ 18 ÷ 2 - 3 × 5 + 16 = ?

⇒ 18 ÷ 2 - 3 × 5 + 16 = ?

⇒ 9 - 15 + 16 = ?

⇒ 9 - 15 + 16 = ?

⇒ -6 + 16 = ?

⇒ 10.

Hence, the correct answer is "Option 4".

The given figure is embedded in,

Hence, the correct answer is “Option 1”.

Each of L, A, Y, E, R, S and T has an exam on a different day of a week starting from Monday and ending on Sunday of the same week.

1. T has exam on Thursday.
2. E has exam two days before T.
3. Only four people have exams between A and E.
4. Y has exam on one of the days after E.
5. R has exam on the day immediately before L.
6. A has exam after E.

The final arrangement is as follows:

Two people have exam between L and Y.

Hence, the correct answer is 'Option 2'.

The logic followed here is:

Position of Shubham from the top = 15^th

Position of Shubham from the bottom = 57^th

To find the total number of students in the class, the following formula is used:

Total number of students = (Position from the top + Position from the bottom) − 1

= (15 + 57) − 1

= 72 − 1

= 71

Hence, the correct answer is 'Option 4'.

Option 1) BD−FH

Option 2) MO−PU

Option 3) PR−TV

Option 4) WY−AC

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

Hence, the correct answer is "Option 2".

Given series:

(Left) 4 2 2 5 7 9 8 5 3 6 2 1 5 7 3 7 8 4 3 6 9 7 4 5 2 4 1 (Right)

Condition to be checked:

Even digit → Odd digit → Odd digit

Checking the series:

(Left) 4 2 2 5 7 9 8 5 3 6 2 1 5 7 3 7 8 4 3 6 9 7 4 5 2 4 1 (Right)

There are 4 such odd digits in the given series.

Hence, the correct answer is "Option 1".

Given: (Left) WET RIP ARM GAP (Right)

Third word from the right = RIP

Third letter of RIP = P

First word from the left = WET

First letter of WET = W

Between P and W in the English alphabetical order: Q, R, S, T, U, V

Number of letters = 6

Hence, the correct answer is “Option 4”.

The logic followed here is,

22 - 1 = 21

21 + 3 = 24

24 - 1 = 23

23 + 3 = 26

26 - 1 = 25

Hence, the correct answer is 'Option 4';

The logic followed here is:

Logic: Second Number = (First Number × 5) + 7

For the first pair 9 : 52

⇒ (9 × 5) + 7

⇒ 45 + 7 = 52.

For the second pair 6 : 37

⇒ (6 × 5) + 7

⇒ 30 + 7 = 37.

Applying the same logic to the third pair

11 : ?

⇒ (11 × 5) + 7

⇒ 55 + 7 = 62.

Hence, the correct answer is 'Option 4'.

Given series:

(Left) < 5 6 # $ ? 1 5 9 < 5 @ 3 8 9 4 \ 9 $ # # (Right)

Condition to be checked:

Number ← Number → Symbol

Checking the series:

(Left) < 5 6 # $ ? 1 **5 9 <** 5 @ 3 8 **9 4 ** 9 $ # # (Right)

There are three such number present in the given series

Hence, the correct answer is "Option 4".

Given series:

(Left) D E £ L © $ L & B Z X & R € * X © D X * F £ (Right)

Condition to be checked:

Letter ← Letter → Symbol

Checking the series:

(Left) D E £ L © $ L & B Z X & R € * X © **D X *** F £ (Right)

There are three such letters that satisfy the given condition.

Hence, the correct answer is "Option 1".

Family chart:

Family tree,

​Therefore, L is the Mother's mother of N.

Hence, the correct answer is "Option 4".

L, A, Y, E, R 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. S lives on floor numbered 4.
2. Only two people live between S and L.
3. Only Y lives between S and E.
4. A lives immediately below S.

Thus, R lives on floor numbered 2.

Hence, the correct answer is 'Option 2'.

Option 1) ML − JI,

Option 2) WV − UT,

Option 3) SR − QP,

Option 4) HG − FE,

Therefore, the letter-cluster pair that is different from the others is ML − JI.

Hence, the correct answer is 'Option 1'.

The correct answer is अनुच्छेद 74.

Key Points

• भारतीय संविधान के अनुच्छेद 74 के अनुसार, राष्ट्रपति को उनके कार्यों के निष्पादन में सहायता और सलाह देने के लिए प्रधानमंत्री की अध्यक्षता में एक मंत्रिपरिषद होगी।
• यह अनुच्छेद भारत में संसदीय शासन प्रणाली की नींव रखता है, जहाँ राष्ट्रपति नाममात्र का कार्यकारी होता है और वास्तविक कार्यकारी शक्तियाँ प्रधानमंत्री के नेतृत्व वाली मंत्रिपरिषद में निहित होती हैं।
• 42वें संविधान संशोधन अधिनियम, 1976 द्वारा यह प्रावधान किया गया कि राष्ट्रपति मंत्रिपरिषद की सलाह के अनुसार कार्य करने के लिए बाध्य हैं।
• 44वें संविधान संशोधन अधिनियम, 1978 ने राष्ट्रपति को यह शक्ति दी कि वे मंत्रिपरिषद को अपनी सलाह पर एक बार पुनर्विचार करने के लिए कह सकते हैं, लेकिन पुनर्विचार के बाद दी गई सलाह राष्ट्रपति के लिए बाध्यकारी होती है।
• इस संवैधानिक व्यवस्था का मुख्य उद्देश्य यह सुनिश्चित करना है कि देश का प्रशासन लोकतांत्रिक रूप से निर्वाचित प्रतिनिधियों की सलाह पर चलाया जाए।

 Additional Information

• विकल्पों में दिए गए अन्य अनुच्छेदों का विवरण इस प्रकार है:
• अनुच्छेद 324: यह भारत निर्वाचन आयोग से संबंधित है। यह आयोग को संसद, राज्य विधानमंडलों, राष्ट्रपति और उपराष्ट्रपति के पदों के चुनावों के अधीक्षण, निर्देशन और नियंत्रण की शक्ति देता है।
• अनुच्छेद 245: यह संसद और राज्यों के विधानमंडलों द्वारा बनाए गए कानूनों के क्षेत्रीय विस्तार से संबंधित है। यह बताता है कि संसद पूरे भारत या उसके किसी हिस्से के लिए कानून बना सकती है।
• अनुच्छेद 312: यह अखिल भारतीय सेवाओं (जैसे IAS, IPS और IFoS) के सृजन से संबंधित है। यदि राज्यसभा उपस्थित और मतदान करने वाले दो-तिहाई सदस्यों के समर्थन से संकल्प पारित करती है, तो संसद नई अखिल भारतीय सेवाएं स्थापित कर सकती है।

The correct answer is Prime minister and Chief advisor.

Key Points

• The Wazir was the head of the Diwan-i-Wizarat, which was the finance department and the most important administrative wing of the Delhi Sultanate.
• As the Prime Minister, the Wazir occupied the most prestigious position in the central administration, acting as a link between the Sultan and the various administrative departments.
• The primary function of the Wazir involved overseeing state finances, including the assessment and collection of land revenue, management of the royal treasury, and regulation of state expenditure.
• He served as the Chief Advisor to the Sultan on matters of civil administration, judicial appointments, and general policy, often exercising authority in the Sultan's absence.
• The influence of the Wazir varied across dynasties; for instance, the office reached the height of its power during the Tughlaq period under officials like Khan-i-Jahan Maqbul.

 Additional Information

• Other Key Administrative Roles:
• Sadr-us-Sudur: He was the Head of Religious Affairs and the chief of the judicial department (Qazi-ul-Quzat), responsible for religious endowments and charities.
• Muqti or Wali: This official served as the Governor of a province (Iqta), tasked with maintaining law and order and collecting revenue within his jurisdiction.
• Ariz-i-Mumalik: He was the head of the Diwan-i-Arz (Military Department) and acted as the chief Military Commander responsible for recruitment, payment, and training of the army.
• Barid-i-Mumbaki: The head of the state news agency and the intelligence department, ensuring the Sultan was informed of all significant developments.

The correct answer is October.

Key Points

• The Cape Festival is a prominent cultural event celebrated annually in the month of October in Kanyakumari, Tamil Nadu.
• The festival takes place at the southernmost tip of the Indian mainland, historically referred to as Cape Comorin, which marks the unique Triveni Sangam (confluence) of the Arabian Sea, the Bay of Bengal, and the Indian Ocean.
• This three-day celebration is organized to promote tourism and showcase the rich cultural heritage of Tamil Nadu through various traditional performances.
• The festivities include classical music recitals, folk dances like Karagattam and Kavadi, and exhibitions of local handicrafts.
• A significant ritual during this period involves devotees taking a holy dip in the waters of the confluence, especially during the Full Moon (Purnima) day in October.

 Additional Information

• January:
• This month is dedicated to Pongal, the multi-day harvest festival of Tamil Nadu, which includes events like Jallikattu (bull-taming) and Mattu Pongal.
• The Mamallapuram Indian Dance Festival also takes place during this time, featuring Bharatanatyam, Kuchipudi, and Kathak against the backdrop of Pallava rock-cut sculptures.
• May:
• The Summer Festival is organized by the Department of Tourism in hill stations such as Ooty (Udhagamandalam), Kodaikanal, and Yercaud.
• Key attractions include Flower Shows at the Botanical Gardens and Boat Races on the lakes.
• March:
• This period often sees the Arubathimoovar Festival in Mylapore, Chennai, which is one of the grandest processions of the Kapaleeshwarar Temple, honoring the 63 Nayanmars (Shaivite saints).

The correct answer is Prafulla Chaki.

Key Points

• On April 30, 1908, Khudiram Bose and Prafulla Chaki executed a plan to assassinate Douglas Kingsford, the District Magistrate of Muzaffarpur (now in Bihar).
• Kingsford was targeted by the Anushilan Samiti because he had gained notoriety for delivering harsh and humiliating sentences to young nationalist activists while serving as the Chief Presidency Magistrate in Calcutta.
• The revolutionaries threw a bomb at a horse-drawn carriage departing from the European Club, mistakenly believing Kingsford was inside; however, the attack killed the wife and daughter of Pringle Kennedy, a local barrister.
• Following the assault, Prafulla Chaki was cornered by the police at Mokama Ghat railway station on May 1, 1908, where he chose to commit suicide by shooting himself to evade capture.
• Khudiram Bose was arrested at Waini railway station (later renamed Khudiram Bose Pusa) and was subsequently tried and hanged on August 11, 1908, at the age of 18.

 Additional Information

• Aurobindo Ghosh
• A prominent leader of the Extremist faction of the Indian National Congress and a member of Anushilan Samiti.
• He was arrested during the Alipore Bomb Case investigations following the Muzaffarpur incident but was later acquitted.
• Bhagat Singh
• A revolutionary socialist who founded the Naujawan Bharat Sabha and reorganized the HSRA.
• He is famous for the 1929 Central Assembly Bombing and was executed in 1931 for the Lahore Conspiracy Case.
• Rajendra Lahiri
• A key member of the Hindustan Republican Association (HRA) involved in the Kakori Train Robbery of 1925.
• He was executed in Gonda Jail in 1927, two days before the scheduled date.

CONCEPT:

The history of acid-base chemistry is marked by several evolving theories that attempted to define substances based on their chemical composition and behavior. The theoretical study of acids began in earnest during the Chemical Revolution in the late 18^th century, transitioning from simple observations of physical properties (like sour taste or litmus reaction) to identifying specific chemical elements responsible for acidity.

EXPLANATION:

• Antoine-Laurent Lavoisier (1743−1794), a pioneering French chemist, made the first systematic attempt to provide a theoretical explanation for the behavior of acids around 1777.
• Lavoisier concluded that oxygen was the essential component of all acids. This belief was so central to his work that he named the element 'oxygen' from the Greek words oxys (acid) and geinomai (to create), meaning 'acid-former'.
• His Oxygen Theory of Acids stated that an acid was a combination of a non-metal oxide with water. Although later scientists like Humphry Davy proved this incorrect by showing that hydrochloric acid (HCl) lacked oxygen, Lavoisier's work was the first major theoretical framework in this field.
• Regarding the other scientists mentioned:
• Justus von Liebig proposed the Hydrogen Theory of Acids much later, in 1838.
• Martin Lowry (co-developer of the Brønsted-Lowry theory) and Hermann Lux (developer of the Lux-Flood theory) contributed their theories in the 20^th century (1923 and 1939, respectively).

Therefore, the scientist who made the first attempt at a theoretical explanation of acid behavior at the end of the 18^th century is Antoine-Laurent Lavoisier.

The correct answer is United Nations Security Council.

Key Points

• On September 30, 2024, the United Nations Security Council (UNSC) unanimously adopted Resolution 2751, which officially extended the mandate of the Multinational Security Support (MSS) mission in Haiti.
• The mission, which is spearheaded by Kenya, was granted a one-year extension, ensuring its operations continue until October 2, 2025.
• The primary objective of this Kenya-led force is to provide operational support to the Haitian National Police to combat rampant gang violence, secure critical infrastructure like airports and ports, and facilitate humanitarian aid delivery.
• The UNSC resolution reflects a continued international commitment to stabilizing the security situation in Haiti, which has deteriorated significantly since 2021.
• The resolution also signaled discussions regarding a potential future transition of the MSS mission into a formal United Nations Peacekeeping operation to ensure sustainable and predictable funding.

 Additional Information

• United Nations Security Council (UNSC):
• It is the primary organ of the United Nations responsible for maintaining international peace and security under the UN Charter.
• It consists of 15 members: 5 permanent members with veto power (China, France, Russia, United Kingdom, and United States) and 10 non-permanent members elected for two-year terms.
• Multinational Security Support (MSS) Mission:
• Unlike traditional peacekeeping forces, the MSS is not a formal UN force but a voluntary mission authorized by the UNSC via Resolution 2699 in October 2023.
• Kenya deployed its first contingent of police officers to Port-au-Prince in June 2024, following months of planning and legal challenges.
• Other Regional Organisations:
• The Caribbean Community (CARICOM) and the Organisation of American States (OAS) have played critical roles in political mediation and supporting the transition of power in Haiti, but they do not hold the legal authority to issue or extend UN-backed security mandates.
• The African Union has expressed strong solidarity with the Kenya-led mission, viewing it as a manifestation of 'Pan-Africanism' in global security efforts.

The correct answer is lotus.

Key Points

• Goddess Lakshmi is worshipped as the Hindu deity of wealth, prosperity, fortune, and beauty.
• In Hindu iconography, she is almost always depicted associated with the lotus flower, often referred to as Padmapriya (one who likes lotuses) or Padmasini (one who sits on a lotus).
• The lotus is a symbol of purity and spiritual growth; despite growing in mud, it remains unsoiled, representing detachment from the material world while achieving enlightenment.
• Traditional temple architecture and sculptures portray her with four hands representing the four goals of human life: Dharma, Artha, Kama, and Moksha, usually while seated or standing on a fully blossomed pink lotus.
• The lotus throne (Padmasana) signifies that the Goddess is rooted in spiritual reality while bestowing material abundance upon her devotees.

 Additional Information

• Divine Vahanas (Mounts) and Seats:
• Bull: The bull, specifically named Nandi, is the vahana of Lord Shiva and symbolizes strength, faith, and righteousness.
• Tiger: A tiger or lion (Dawon) is the mount of Goddess Durga, representing her unlimited power and victory over evil forces.
• Swan: The Hamsa (swan) is the vahana of Goddess Saraswati, the deity of knowledge and arts, representing intellectual grace and discrimination.
• Owl: While the lotus is her primary seat, Goddess Lakshmi is also associated with the owl (Uluka) as her vahana, particularly in Bengali traditions, symbolizing vigilance and wisdom in using wealth.

The correct answer is National Sports Governance Act, 2025.

Key Points

• The National Sports Governance Act, 2025 was enacted to provide a comprehensive legislative framework to regulate National Sports Federations (NSFs) and the Indian Olympic Association (IOA), moving away from the purely executive-led National Sports Development Code of India, 2011.
• The primary objective of the Act is to ensure transparency, professionalism, and accountability in sports administration while aligning Indian sports governance with the principles of the Olympic Charter.
• The Act established a central Sports Regulatory Board of India, which is tasked with the recognition and de-recognition of sports bodies based on their adherence to governance standards.
• It mandates the implementation of age and tenure limits for office bearers to prevent the long-term concentration of power and to encourage fresh leadership within sports organizations.
• The legislation significantly empowers athletes by requiring the formation of Athletes Commissions within every recognized federation, ensuring that active and retired players have a direct role in the decision-making process.
• It also focuses on gender equality, necessitating minimum representation for women in the executive committees of sports governing bodies.

 Additional Information

• Sports Code, 2011:
• Prior to the 2025 Act, the National Sports Development Code of India, 2011 served as the primary set of guidelines issued by the Ministry of Youth Affairs and Sports.
• It lacked the statutory weight of a Parliamentary Act, leading to frequent legal disputes in various High Courts and the Supreme Court regarding its enforcement.
• Governance Mechanisms:
• The 2025 Act incorporates a robust dispute resolution mechanism, reducing the reliance on civil courts for administrative sports conflicts.
• It emphasizes financial audit requirements for all federations receiving government grants or utilizing public infrastructure for training and competitions.

The correct answer is Monsoon.

Key Points

• The climate of India is broadly described as the Monsoon type, a term derived from the Arabic word mausim, which signifies seasonal changes.
• This classification is primarily based on the seasonal reversal of wind direction; during summer, moisture-laden winds blow from the Indian Ocean towards the land, while in winter, dry winds blow from the land toward the sea.
• The Himalayas act as a critical climatic barrier, preventing frigid Central Asian winds from entering the subcontinent, which ensures that India maintains a tropical to sub-tropical temperature profile throughout the year.
• While the overall climate is monsoonal, India exhibits significant regional variations in temperature and precipitation, ranging from the arid conditions in the Thar Desert to the heavy rainfall in Mawsynram.
• The Southwest Monsoon (June to September) accounts for nearly 75% to 90% of the total annual rainfall in the country, which is vital for agriculture and the Indian economy.

 Additional Information

• Polar Climate
• Characterized by extremely low temperatures where no month has an average temperature higher than 10 °C.
• Found primarily in high-latitude regions such as Antarctica, Greenland, and the Arctic circle.
• Desert Climate
• Also known as Arid climate, it features extremely low precipitation and high evaporation rates.
• In India, this is restricted to the western part of Rajasthan and parts of Gujarat, rather than the whole country.
• Semi-arid Climate
• A transition zone between desert climates and humid climates, characterized by steppe vegetation.
• In the Indian context, this is found in the rain-shadow regions of the Western Ghats and parts of the Deccan Plateau.

The correct answer is Iltutmish.

Key Points

• Shams-ud-din Iltutmish, the third ruler of the Mamluk Dynasty (reigned 1211−1236 AD), is credited with organizing the Turkan-i Chihilgani, also popularly known as the Corps of Forty or Dal Chalisa.
• The cadre was established to create a loyal body of Turkish slave officers who would serve as the pillars of the administration and military, helping the Sultan consolidate the Delhi Sultanate against internal rebellions and external threats.
• During the early years of his reign, Iltutmish faced opposition from the old Qutbi and Muizzi nobles; the Chihilgani acted as a counter-nobility that owed its status and wealth entirely to the Sultan's favor.
• These forty officers held the most significant Iqtas (land grants) and high-ranking positions in the central government, ensuring the stability of the Iqtadari system and the expansion of the empire into Malwa and Bengal.

 Additional Information

• Ghiyas-ud-din Balban
• He was himself a member of the Turkan-i Chihilgani before ascending the throne in 1266 AD.
• Recognizing that the Forty had become too powerful and a threat to the Monarchy, he ruthlessly abolished the cadre through his policy of Blood and Iron to centralize power.
• Qutbuddin Aibak
• The founder of the Slave Dynasty in 1206 AD and the first Sultan of Delhi.
• He was known as Lakh Baksh (giver of lakhs) for his generosity and began the construction of the Qutub Minar in honor of Khwaja Qutubuddin Bakhtiar Kaki.
• Alauddin Khilji
• A ruler of the Khilji Dynasty (reigned 1296−1316 AD) famous for his Market Control Policy and agrarian reforms.
• He introduced the systems of Dagh (branding of horses) and Chehra (descriptive roll of soldiers) to prevent corruption in the military.

The correct answer is 1995.

Key Points

• The National Programme of Nutritional Support to Primary Education (NP-NSPE), popularly known as the Mid-day Meal Scheme, was formally launched as a Centrally Sponsored Scheme on 15^th August 1995.
• The primary objective of the scheme was to increase the enrollment, retention, and attendance of children in schools by providing nutritional support, while simultaneously addressing malnutrition among the student population.
• At its inception in 1995, the programme was introduced in 2,408 blocks across the country, specifically targeting children in Classes I to V in government, local body, and government-aided schools.
• By the year 1997-98, the scheme was expanded to cover all blocks in India, making it a universal programme for primary school children.
• The scheme is currently implemented under the Ministry of Education (formerly known as the Ministry of Human Resource Development) and remains one of the largest school feeding programmes in the world.

 Additional Information

• Evolution of the Scheme:
• In 2001, a landmark direction by the Supreme Court of India in the PUCL vs. Union of India case mandated that every state provide a cooked mid-day meal instead of dry rations.
• In 2004, the scheme was revised to provide cooked meals with a nutritional content of 300 calories and 8-12 grams of protein.
• In October 2007, the programme was extended to cover students in Upper Primary classes (VI to VIII) in 3,479 Educationally Backward Blocks (EBBs).
• In September 2021, the Mid-day Meal Scheme was renamed as PM POSHAN (Pradhan Mantri Poshan Shakti Nirman), extending its reach to include children studying in Balvatikas (pre-primary levels).
• The current nutritional norms provide 450 calories and 12g protein for primary students, and 700 calories and 20g protein for upper primary students.

The correct answer is - Betanins

Key Points

• Betanins
• Betanins, also known as Beetroot Red, are the primary pigments responsible for the characteristic deep red-purple color of beetroots (Beta vulgaris).
• They belong to a class of nitrogen-containing pigments called betalains, which are water-soluble.
• These pigments are unique to plants in the order Caryophyllales and are used extensively as natural food colorants.

Additional Information

• Betalains and Health
• Betanins are known for their potent antioxidant and anti-inflammatory properties, which help in neutralizing free radicals in the human body.
• In the food industry, it is identified by the additive code E162 and is used in products like ice cream, dry drink mixes, and confectionery.
• Other Pigments
• Prussian blue: A synthetic dark blue inorganic pigment (ferric ferrocyanide) used in paints and traditionally in blueprints.
• Ultramarine: A deep blue pigment originally made by grinding lapis lazuli into a powder; it is now produced synthetically.
• Ochre: A natural earth pigment containing hydrated iron oxide, providing colors ranging from yellow to deep orange or brown.
• Biological Significance
• Unlike most other red-colored plants that contain anthocyanins, beets do not produce anthocyanins. Betalains and anthocyanins are mutually exclusive in the plant kingdom.
• The color of betanin is sensitive to pH, appearing most stable between pH 4 and 5.

The correct answer is 74.04%.

Key Points

• According to the Census of India 2011, the average literacy rate in the country was recorded at 74.04%, marking a significant improvement from the 2001 Census figure of 64.83%.
• The Census defines a literate person as anyone aged 7 years and above who can both read and write with understanding in any language.
• This increase in literacy reflects a decadal growth of approximately 9.21 percentage points, indicating the impact of various educational initiatives like Sarva Shiksha Abhiyan.
• While the national average is 74.04%, the census revealed a significant disparity between male and female literacy levels across various states and union territories.

 Additional Information

• Gender-wise Statistics:
• The male literacy rate in India stood at 82.14%.
• The female literacy rate was recorded at 65.46%.
• The gender gap in literacy decreased from 21.59% in 2001 to 16.68% in 2011.
• State-wise Performance:
• Kerala retained its top position as the most literate state with a literacy rate of 94.00%.
• Bihar recorded the lowest literacy rate in India at 61.80%.
• Among Union Territories, Lakshadweep boasted the highest literacy rate of 91.85%.
• Urban vs Rural Literacy:
• The literacy rate in urban areas was significantly higher at 84.11% compared to rural areas, which stood at 67.77%.

The correct answer is By implementing fiscal discipline and reducing budget deficits.

Key Points

• The 1991 Economic Reforms were initiated in response to a severe Balance of Payments (BoP) crisis and high inflation, which were largely driven by the unsustainable fiscal deficits of the 1980s.
• To restore macroeconomic stability, the government shifted toward fiscal consolidation, aiming to reduce the fiscal deficit from approximately 8.4% of GDP in 1990-91 to more sustainable levels.
• The policy framework focused on reducing non-plan expenditure, rationalizing subsidies (particularly in fertilizers and fuel), and improving the efficiency of tax administration to increase revenue.
• A landmark step in this direction was the enactment of the Fiscal Responsibility and Budget Management (FRBM) Act in 2003, which provided a legal institutional framework to ensure inter-generational equity in fiscal management.
• By reducing public sector borrowing, the government aimed to prevent the crowding out of private investment, thereby encouraging capital formation and long-term economic growth.

 Additional Information

• Tax Reforms:
• Following the Raja Chelliah Committee recommendations, the government simplified the tax structure and reduced customs duties to integrate India with the global economy.
• Direct tax rates (Income and Corporate tax) were lowered to enhance voluntary compliance and broaden the tax base.
• Disinvestment Policy:
• The government started the process of disinvestment in Public Sector Undertakings (PSUs) to reduce the budgetary burden of loss-making entities and promote market competition.
• Foreign Investment:
• The reforms dismantled the License-Permit Raj and opened sectors to Foreign Direct Investment (FDI), contrary to the idea of limiting foreign capital, to bridge the investment-savings gap.
• Monetary Policy Alignment:
• Fiscal discipline allowed the Reserve Bank of India (RBI) to transition away from automatic monetization of the deficit via ad-hoc Treasury Bills, giving the central bank more autonomy to control inflation.

The correct answer is Ajeya Warrior.

Key Points

• Ajeya Warrior is a biennial joint military training exercise conducted between the Indian Army and the British Army, alternating between the two countries.
• The 2025 edition of this exercise focuses on enhancing interoperability and sharing best practices in Counter-Terrorism and Counter-Insurgency operations under the United Nations (UN) mandate.
• The training module involves Company-level tactical operations in semi-urban and urban environments, emphasizing Joint Military Planning and execution.
• The exercise plays a crucial role in strengthening the Strategic Partnership between India and the United Kingdom, fostering mutual understanding and camaraderie between the troops.
• Participants undergo rigorous physical fitness tests, combat shooting drills, and specialized training in unconventional warfare techniques during the exercise.

 Additional Information

• Varuna:
• It is a major bilateral Naval exercise between India and France that began in 1993.
• It includes high-level maritime maneuvers, anti-submarine warfare, and tactical sea operations.
• Mitra Shakti:
• This is a joint military training exercise conducted between the Indian Army and the Sri Lankan Army.
• Its primary goal is to build counter-insurgency and counter-terrorism capabilities in rural and urban environments.
• Indra Dhanush:
• It is a bilateral Air Force exercise involving the Indian Air Force (IAF) and the Royal Air Force (RAF) of the United Kingdom.
• The exercise focuses on Large Force Engagements, air defense missions, and sharing technical expertise between pilots.
• Konkan:
• Another significant military engagement between India and the UK, which is a bilateral Naval exercise held in the Indian Ocean or the English Channel.

The correct answer is Cyril Ramaphosa.

Key Points

• Matamela Cyril Ramaphosa is the current and fifth President of South Africa, holding the office throughout the year 2025.
• Following the 2024 South African General Elections held on May 29, 2024, his party, the African National Congress (ANC), lost its long-standing parliamentary majority.
• To maintain stability, Ramaphosa spearheaded the formation of a Government of National Unity (GNU), which included a coalition of multiple political parties such as the Democratic Alliance (DA) and the Inkatha Freedom Party (IFP).
• He was formally re-elected as President by the National Assembly on June 14, 2024, and his inauguration took place on June 19, 2024, at the Union Buildings in Pretoria.
• His current five-year term, which began in mid-2024, ensures his presidency continues through 2025 and is scheduled to conclude in 2029.

 Additional Information

• Julius Malema:
• He is the Commander-in-Chief and founder of the Economic Freedom Fighters (EFF), a political party established in 2013.
• While he is a prominent Member of Parliament and opposition leader, he has never served as the President of South Africa.
• Thabo Mbeki:
• He served as the second President of South Africa from 1999 to 2008, succeeding Nelson Mandela.
• His presidency was marked by significant economic growth and the promotion of the New Partnership for Africa's Development (NEPAD).
• Jacob Zuma:
• He served as the fourth President of South Africa from May 2009 until his resignation in February 2018.
• In 2024, he led the uMkhonto weSizwe (MK) Party, which became the third-largest party in the National Assembly.

The correct answer is Landless laborers in villages or people living in overcrowded jhuggis in cities.

Key Points

• In the context of Indian economics and sociology, poverty is a multidimensional challenge visible in both rural and urban landscapes through the lack of basic assets and sustainable livelihoods.
• Landless laborers in rural areas represent a significant portion of the poor as they do not own the primary factor of production (land) and depend entirely on casual manual labor and seasonal employment.
• In urban settings, the poor are often found in jhuggis or slums, which are characterized by overcrowding, lack of hygienic sanitation, and restricted access to potable water.
• According to NCERT and Planning Commission frameworks, these individuals face social exclusion and lack the purchasing power to meet even the minimum nutritional requirements or basic necessities like clothing and shelter.
• Daily encounters with poverty typically involve seeing street vendors, beggars, rag pickers, and daily wage earners at construction sites, rather than individuals in high-end commercial spaces.

 Additional Information

• Indicators of Poverty:
• Illiteracy: There is a strong correlation between low literacy rates and the inability to escape the poverty trap.
• Malnutrition: Poor households often suffer from nutritional deficiencies due to their inability to afford balanced diets.
• Size of Families: Larger family sizes among the poor often lead to a lower per capita income and resource depletion.
• Inapplicable Environments:
• Corporate offices and Luxury resorts: These are hubs of formal sector employment and high-income services where entry is restricted to those with specific qualifications or high disposable income.
• Shopping malls: These represent modern retail infrastructure designed for the middle and upper-class consumers, thus excluding those living in absolute poverty.
• Poverty Estimation: In India, the NITI Aayog (formerly the Planning Commission) estimates the Poverty Line based on consumer expenditure data collected by the National Sample Survey Office (NSSO).

The correct answer is Indian Air Force.

Key Points

• Exercise Garuda is a premier bilateral air exercise conducted between the Indian Air Force (IAF) and the French Air and Space Force (FASF) to enhance interoperability and operational synergy.
• The 2025 edition of the exercise continues the tradition of high-intensity aerial combat training, allowing pilots and technicians from both nations to exchange best practices in a professional environment.
• During this exercise, the Indian Air Force typically deploys its most advanced aerial assets, including Rafale fighter jets, Su-30 MKI, and LCA Tejas, supported by Il-78 mid-air refuellers and AWACS.
• The primary focus of Exercise Garuda is on Large Force Engagement (LFE), Beyond Visual Range (BVR) combat, and tactical maneuvers in a complex, multi-domain environment.
• The exercise serves as a cornerstone of the strategic defense partnership between India and France, established to ensure security in the Indo-Pacific region.
• Therefore, the Indian Air Force is the correct answer as it is the sole arm representing India in this specific bilateral aviation drill.

 Additional Information

• Indian Army:
• The Indian Army participates in Exercise Shakti, which is the dedicated bilateral land-warfare exercise between India and France, focusing on counter-terrorism operations.
• Indian Navy:
• The Indian Navy represents India in Exercise Varuna, a significant bilateral naval drill with the French Navy involving carrier strike groups and anti-submarine warfare.
• Coast Guard:
• The Indian Coast Guard (ICG) focuses on maritime safety and law enforcement; it does not take part in the Garuda series, which is strictly an air force engagement.

The correct answer is reducing the salaries and allowances of government employees.

Key Points

• Under Article 360 of the Indian Constitution, the President is empowered to proclaim a Financial Emergency if the financial stability or credit of India, or any part of its territory, is under threat.
• During the operation of such an emergency, the executive authority of the Union extends to giving directions to any State to observe specific canons of financial propriety as may be specified in the directions.
• The President may issue directions for the reduction of salaries and allowances of all or any class of persons serving in connection with the affairs of the State or the Union.
• Notably, this power extends to the reduction of salaries and allowances of the Judges of the Supreme Court and the High Courts, which are otherwise protected under normal circumstances.
• Furthermore, the President can direct that all Money Bills or other Financial Bills passed by the State Legislature be reserved for his consideration after they are passed.

 Additional Information

• Approval and Duration:
• A proclamation of Financial Emergency must be approved by both Houses of Parliament within two months from the date of its issue.
• Once approved, it continues indefinitely until it is revoked by the President; there is no requirement for repeated parliamentary approval.
• A resolution for its approval requires only a simple majority in either House of Parliament.
• Historical Fact:
• Although India faced a severe Balance of Payments crisis in 1991, a Financial Emergency has never been declared in the country since the Constitution came into force.
• Judicial Review:
• The 38^th Amendment Act of 1975 originally made the President’s satisfaction final, but the 44^th Amendment Act of 1978 clarified that the President’s satisfaction is subject to judicial review.

The correct answer is Citizens’ Charter, 1997.

Key Points

• The concept of the Citizens’ Charter was first pioneered in the United Kingdom in July 1991 under the government of Prime Minister John Major to improve the quality of public service delivery.
• In India, the initiative was formally adopted during a Conference of Chief Ministers of various States and Union Territories held in May 1997.
• The conference, chaired by the Prime Minister of India, adopted an Action Plan for Effective and Responsive Government at both Central and State levels, emphasizing accountability and transparency.
• The Department of Administrative Reforms and Public Grievances (DARPG) in the Ministry of Personnel, Public Grievances and Pensions serves as the nodal agency to coordinate and monitor the formulation of these charters.
• The primary objective of the Citizens’ Charter in India is to bridge the gap between the administration and the citizens by specifying service standards, time limits, and grievance redressal mechanisms.
• Therefore, the correct answer is Option 4.

 Additional Information

• Evolution of Global Models:
• Client’s Charter, 1993: This specific terminology and timeline are primarily associated with Malaysia, which introduced its Piagam Pelanggan (Client’s Charter) to ensure quality in government departments.
• Public Service Users’ Charter: Various countries like Belgium (1992) and France (1992 - Service Charter) adopted similar frameworks under different names shortly after the UK initiative.
• Principles of Service Delivery:
• The Indian model is built upon the six core principles: Quality (improving standards), Choice (wherever possible), Standards (clear expectations), Value (efficient use of tax money), Accountability, and Transparency.
• Later, the Sevottam Model was developed in India to assess and improve the excellence in service delivery based on these charters.

Shortcut Trick

Apply successive percentage change directly to the initial cost price.

Final Price = Initial Price × (100 + Profit%)/100 × (100 − Loss%)/100

Amount paid by C = 10,000 × 120/100 × 90/100

Amount paid by C = 10,000 × 1.2 × 0.9 = 10,000 × 1.08 = 10,800

∴ The correct answer is ₹10,800.

Alternate Method

Given:

Cost Price (CP) for A = ₹10,000

Profit percentage for A = 20%

Loss percentage for B = 10%

Calculations:

⇒ Selling Price (SP) of A = Cost Price for B

⇒ SP of A = 10,000 + (20/100 × 10,000)

⇒ SP of A = 10,000 + 2,000 = ₹12,000

⇒ Selling Price (SP) of B = Cost Price for C

⇒ SP of B = 12,000 − (10/100 × 12,000)

⇒ SP of B = 12,000 − 1,200 = ₹10,800

∴ The correct answer is ₹10,800.

Additional Information

Effective Percentage Change

When a value changes by x% and then y% successively, the net change is given by: [x + y + (xy/100)]%. Use negative values for loss/decrease.

Profit and Loss Relation

Selling Price = CP × (100 + Profit%)/100 or CP × (100 − Loss%)/100. Always ensure the base for percentage calculation is the Cost Price unless stated otherwise.

Chain Rule in Transactions

In a chain of transactions, the selling price for one person becomes the cost price for the next person in the sequence.

Shortcut Trick

First, find the Radius (r) using the Circumference (C): r = C / (2 × π) = 132 / (2 × 22/7) = 21 cm.

Use the direct relationship: Volume = (C / 2) × r × h.

Volume = (132 / 2) × 21 × 60 = 66 × 1260 = 83160 cm³.

∴ The correct answer is 83160 cm³.

Alternate Method

Given:

Circumference of the base (C) = 132 cm

Height (h) = 60 cm

Formula Used:

Circumference = 2 × π × r

Volume of Cylinder = π × r² × h

Calculations:

⇒ 2 × (22 / 7) × r = 132

⇒ (44 / 7) × r = 132

⇒ r = (132 × 7) / 44

⇒ r = 3 × 7 = 21 cm

⇒ Volume = (22 / 7) × 21 × 21 × 60

⇒ Volume = 22 × 3 × 21 × 60

⇒ Volume = 66 × 1260

⇒ Volume = 83160 cm³

∴ The correct answer is 83160 cm³.

Additional Information

Curved Surface Area (CSA)

The area of the curved surface of a cylinder is given by the formula: CSA = 2 × π × r × h.

Total Surface Area (TSA)

The total surface area includes the CSA and the area of the two circular bases: TSA = 2 × π × r × (r + h).

Radius from Circumference

For any circular base, the Radius (r) can be calculated if the Circumference (C) is known: r = C / (2 × π).

Shortcut Trick

Total Capacity of the tank (LCM of 10 and 20) = 20 units.

Net Efficiency = Filling Pipe (20 ÷ 10) − Emptying Pipe (20 ÷ 20) = 2 − 1 = 1 unit/hr.

Target Work (Three-fourths full) = 20 × (3/4) = 15 units.

Time required = Target Work ÷ Net Efficiency = 15 ÷ 1 = 15 hr.

∴ The correct answer is 15 hr.

Alternate Method

Given: Filling time = 10 hr, Emptying time = 20 hr.

Formula Used: Total Work = Time × Efficiency; Net Rate = (1/Filling Time) − (1/Emptying Time).

⇒ Combined Efficiency of both pipes = 2 + (−1) = 1 unit/hr.

⇒ Capacity to be filled = 3/4 × Total Capacity = 3/4 × 20 = 15 units.

⇒ Time taken to reach 15 units = 15 ÷ 1 = 15 hr.

∴ The correct answer is 15 hr.

Additional Information

Pipes and Cisterns Basics

Filling pipes are considered positive work, while emptying pipes (leaks) are considered negative work.

Net Rate Formula

If pipe A fills in x hours and pipe B empties in y hours (where y > x), then the net part filled in 1 hour is (1/x − 1/y).

Time and Work Relation

Time is inversely proportional to efficiency. If the filling rate increases, the time taken to fill the tank decreases proportionally.

Shortcut Trick

Effective Rate of Interest for 3 years = 8% × 3 = 24%

Simple Interest = 24% of Principal

SI = 0.24 × 3500 = 840

∴ The correct answer is ₹840.

Alternate Method

Given:

Principal (P) = ₹3500

Rate of Interest (R) = 8% per year

Time (T) = 3 years

Formula Used:

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

Calculations:

⇒ SI = (3500 × 8 × 3) ÷ 100

⇒ SI = 35 × 8 × 3

⇒ SI = 35 × 24

⇒ SI = 840

∴ The correct answer is ₹840.

Additional Information

Total Amount

The total sum payable after adding interest is Amount = Principal + Simple Interest.

Rate and Time relationship

In simple interest, the interest remains constant for every year if the principal and rate are unchanged.

Compound Interest Comparison

Unlike SI, Compound Interest is calculated on the principal plus the accumulated interest of previous periods.

Shortcut Trick

Use the direct Ratio Formula: MP / CP = (100 + P%) / (100 − D%)

MP / CP = (100 + 26) / (100 − 26) = 126 / 74 = 63 / 37

Mark-up = 63 − 37 = 26 units

Mark-up % = (Mark-up / CP) × 100 = (26 / 37) × 100 ≈ 70.27%

∴ The correct answer is 70.27%.

Alternate Method

Given: Discount = 26% and Profit = 26%.

Formula: Selling Price (SP) = CP × (100 + Profit%)/100 = MP × (100 − Discount%)/100

⇒ Assume Cost Price (CP) = 100 units

⇒ Selling Price (SP) = 100 + 26% of 100 = 126 units

⇒ 126 = Marked Price (MP) × (100 − 26) / 100

⇒ 126 = MP × 74 / 100

⇒ MP = (126 × 100) / 74 = 12600 / 74 ≈ 170.27 units

⇒ Mark-up Percentage = MP − CP = 170.27 − 100 = 70.27%

∴ The correct answer is 70.27%.

Additional Information

Relationship between CP and MP

The ratio of Marked Price to Cost Price is always MP/CP = (100 + P%)/(100 − D%), which is derived from equating the Selling Price expressions.

Markup Percentage

Mark-up % = [(MP − CP) / CP] × 100. It represents how much the price is increased over the cost price before offering a discount.

Successive Discounts

If two discounts d₁ and d₂ are offered, the effective discount is d₁ + d₂ − (d₁ × d₂)/100.

Shortcut Trick

If each observation in a data set is increased by a constant value k, the average also increases by k.

New Average = Old Average + Increase

New Average = 45 + 5 = 50

∴ The correct answer is 50.

Alternate Method

Given:

Number of observations (n) = 8

Original Average = 45

Increase in each number = 5

Calculations:

⇒ Total Sum of 8 numbers = Average × Number of terms

⇒ Original Sum = 45 × 8 = 360

⇒ Total increase in sum = 8 × 5 = 40

⇒ New Sum = 360 + 40 = 400

⇒ New Average = New Sum ÷ Number of terms

⇒ New Average = 400 ÷ 8 = 50

∴ The correct answer is 50.

Additional Information

Effect of Operations on Average

If every term is multiplied by a constant k, the new average becomes k × Old Average. If every term is divided by k, the new average becomes Old Average ÷ k.

General Average Formula

Average = (Sum of all observations) ÷ (Total number of observations). This is the arithmetic mean of the data set.

Average of Consecutive Numbers

For any sequence in Arithmetic Progression (AP), the Average = (First Term + Last Term) ÷ 2.

Given:

Expression = (12 ÷ 9) × 3

Formula used:

According to the BODMAS rule, perform operations inside brackets first, followed by division, and then multiplication.

Calculation:

(12 ÷ 9) × 3

⇒ (12/9) × 3

⇒ (4/3) × 3

⇒ 4

∴ The correct answer is option (3).

Shortcut Trick

Difference in percentage = 45% − 20% = 25%.

According to the problem, this 25% corresponds to 96.

To find the total number (100%), we multiply by 4 (since 25% × 4 = 100%).

Number = 96 × 4 = 384.

∴ The correct answer is 384.

Alternate Method

Given: The difference between 45% and 20% of a number is 96.

Formula Used: Number = (Difference ÷ Percentage Difference) × 100

⇒ Let the required number be x.

⇒ 45% of x − 20% of x = 96

⇒ (45/100)x − (20/100)x = 96

⇒ (25/100)x = 96

⇒ (1/4) × x = 96

⇒ x = 96 × 4

⇒ x = 384

∴ The correct answer is 384.

Additional Information

Percentage Change Concept

When a quantity changes from A to B, the percentage change is calculated as [(B − A) ÷ A] × 100.

Fraction Equivalents

Memorizing common fractions helps in speed math: 25% = 1/4, 20% = 1/5, 12.5% = 1/8, and 33.33% = 1/3.

Base of Percentage

The base value (100%) remains the same (the number itself) when comparing multiple percentages of the same quantity.

Shortcut Trick

Profit Ratio = (Capital_P × Time_P) : (Capital_R × Time_R)

Ratio = (63000 × 24) : (79000 × 22) = (63 × 12) : (79 × 11) = 756 : 869

Total units = 756 + 869 = 1625 units

P's share = (756 ÷ 1625) × 58500 = 756 × 36 = 27216

∴ The correct answer is ₹27216.

Alternate Method

Given:

Capital of P = ₹63,000 | Time period for P = 2 years = 24 months

Capital of R = ₹79,000 | Time period for R = 24 − 2 = 22 months

Total Profit = ₹58,500

Formula: Profit Share = (Capital × Time) ÷ (Sum of Profit Ratios) × Total Profit

⇒ Profit Ratio of P = 63,000 × 24 = 1,512,000

⇒ Profit Ratio of R = 79,000 × 22 = 1,738,000

⇒ Simplified Ratio P : R = 1512 : 1738 = 756 : 869

⇒ Sum of ratio parts = 756 + 869 = 1625

⇒ P's profit share = (756 ÷ 1625) × 58500

⇒ P's profit share = 756 × 36

⇒ P's profit share = 27216

∴ The correct answer is ₹27216.

Additional Information

Partnership Profit Rule

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

Types of Partners

A working partner manages the business and may receive a salary or extra commission, while a sleeping partner only provides capital and shares profit/loss based on the investment ratio.

Compound Partnership

When partners invest different amounts for different periods of time, it is called a compound partnership, where Ratio = (C₁ × T₁) : (C₂ × T₂) : (C₃ × T₃).

Shortcut Trick

Downstream Speed = 20 + 5 = 25 km/h; Upstream Speed = 20 − 5 = 15 km/h.

Active traveling time = 10 − 0.5 = 9.5 hours.

Distance (one way) = (Product of Speeds ÷ Sum of Speeds) × Travel Time = (25 × 15 ÷ 40) × 9.5 = 89.0625 km.

Total Journey Distance = 2 × 89.0625 = 178.125 km.

Effective Average Speed = Total Distance ÷ Total Time = 178.125 ÷ 10 = 17.8125 km/h.

∴ The correct answer is 18 km/h.

Alternate Method

Given: Still water speed = 20 km/h, Stream speed = 5 km/h, Total time = 10 hr, Delay = 30 min (0.5 hr).

Formula Used: Downstream Speed (D) = v + s; Upstream Speed (U) = v − s; Average Speed = Total Distance ÷ Total Time.

⇒ Downstream speed = 20 + 5 = 25 km/h

⇒ Upstream speed = 20 − 5 = 15 km/h

⇒ Let the distance between A and B be x km.

⇒ Traveling time = 10 − 0.5 = 9.5 hours

⇒ x/25 + x/15 = 9.5

⇒ (3x + 5x) ÷ 75 = 9.5

⇒ 8x ÷ 75 = 9.5

⇒ x = (9.5 × 75) ÷ 8 = 712.5 ÷ 8 = 89.0625 km

⇒ Total distance = 2 × 89.0625 = 178.125 km

⇒ Effective average speed = 178.125 ÷ 10 = 17.8125 km/h

⇒ Rounded to the nearest integer = 18 km/h

∴ The correct answer is 18 km/h.

Additional Information

Upstream and Downstream Speed

Downstream speed is v + s and Upstream speed is v − s, where v is speed in still water and s is stream speed.

Average Speed Formula

For a round trip with equal distance and no delay, Average Speed = (2 × u × v) ÷ (u + v), where u and v are individual speeds.

Impact of Delay

The effective average speed always considers the total time elapsed, including any delays or stoppages during the journey.

Given:
Fractions = 5/7, 9/14, 16/21, 29/42
Formula used:
To compare fractions, find the Least Common Multiple (LCM) of the denominators to make them equivalent.
Calculations:
Identify the denominators: 7, 14, 21, and 42.
⇒ LCM of (7, 14, 21, 42) = 42
Convert each fraction to an equivalent fraction with denominator 42:
⇒ 5/7 = (5 × 6) / (7 × 6) = 30/42
⇒ 9/14 = (9 × 3) / (14 × 3) = 27/42
⇒ 16/21 = (16 × 2) / (21 × 2) = 32/42
⇒ 29/42 = 29/42
Compare the numerators of the new fractions: 30, 27, 32, and 29.
⇒ 32 > 30 > 29 > 27
⇒ The largest numerator is 32, which belongs to 32/42.
⇒ Largest fraction = 16/21
∴ The correct answer is option (2).

Shortcut Trick

Product of the fractions = 6/7 × 4/7 = 24/49

If 24 units correspond to 192, then 1 unit = 192 ÷ 24 = 8

The total number = 49 units = 49 × 8 = 392

Required 3/4 of the number = 3/4 × 392 = 3 × 98 = 294

∴ The correct answer is 294.

Alternate Method

Given: (6/7) of (4/7) of a number is 192.

Formula: Value = (Fraction₁ × Fraction₂) × Number

⇒ Let the number be x.

⇒ (6/7) × (4/7) × x = 192

⇒ (24/49) × x = 192

⇒ x = (192 × 49) ÷ 24

⇒ x = 8 × 49 = 392

⇒ Now, calculate 3/4 of 392:

⇒ (3/4) × 392 = 3 × 98

⇒ 294

∴ The correct answer is 294.

Additional Information

Fraction Multiplication

To find the fraction of a fraction, multiply the numerators together and the denominators together: (a/b) × (c/d) = (a × c) / (b × d).

The 'Of' Operator

In mathematical expressions, the word 'of' acts as a multiplication sign according to the BODMAS rule.

Reciprocal Property

When transferring a fraction to the other side of an equation, it becomes its reciprocal: if (a/b)x = y, then x = y × (b/a).

Shortcut Trick

Ratio of assistants to managers = 10 : 5 = 2 :

1. Using weighted average: [ (2 × 45,000) + (1 × 1,20,000) ] ÷ (2 + 1)

= (90,000 + 1,20,000) ÷ 3

= 2,10,000 ÷ 3 = 70,000

∴ The correct answer is ₹70,000.

Alternate Method

Given:

Number of assistants (n₁) = 10

Average salary of assistants (A₁) = ₹45,000

Number of managers (n₂) = 5

Average salary of managers (A₂) = ₹1,20,000

Formula Used:

Combined Average = (n₁A₁ + n₂A₂) ÷ (n₁ + n₂)

Calculations:

⇒ Total salary of 10 assistants = 10 × 45,000 = ₹4,50,000

⇒ Total salary of 5 managers = 5 × 1,20,000 = ₹6,00,000

⇒ Total salary of all 15 employees = 4,50,000 + 6,00,000 = ₹10,50,000

⇒ Total number of employees = 10 + 5 = 15

⇒ Average salary = 10,50,000 ÷ 15

⇒ Average salary = ₹70,000

∴ The correct answer is ₹70,000.

Additional Information

Arithmetic Mean

The simple average is calculated as the sum of all observations divided by the total number of observations: Mean = (∑x) ÷ n.

Weighted Average

When different groups have different weights or counts, the average is (w₁x₁ + w₂x₂) ÷ (w₁ + w₂).

Deviation Method

Assume a base value; the final average is Base + (Net Deviation ÷ Total Count). This simplifies large calculations.

Given:

Formula Used:

Percentage = (Specific Value ÷ Total Value) × 100

Calculation:

From the table, we identify the data for the year 2021:

⇒ Enrolment in CSE branch for 2021 = 115

⇒ Total enrolments for all branches in 2021 = 625

According to the question, we need to find the percentage of CSE enrolments to total enrolments:

⇒ Required Percentage = (115 ÷ 625) × 100

⇒ Required Percentage = (115 × 100) ÷ 625

⇒ Required Percentage = 11500 ÷ 625

Dividing both by 25:

⇒ Required Percentage = 460 ÷ 25

Dividing both by 5:

⇒ Required Percentage = 92 ÷ 5

⇒ Required Percentage = 18.4%

∴ The correct answer is 18.4%.

Shortcut Trick

Overall Ratio (CP : SP) = (Stated CP × Actual Weight) : (Stated SP × Promised Weight)

CP : SP = (25 × 510) : (16 × 1275)

CP : SP = 12750 : 20400

CP : SP = 1275 : 2040 = 5 : 8 (Dividing by 255)

Profit % = [(8 − 5) ÷ 5] × 100 = (3 ÷ 5) × 100 = 60%

∴ The correct answer is Profit of 60%.

Alternate Method

Given: Stated Cost Price (CP) = ₹25/kg, Stated Selling Price (SP) = ₹16/kg, Promised Weight = 1275 g, Actual Weight given = 510 g.

⇒ Actual Cost Price of 510 g = (25 ÷ 1000) × 510 = ₹12.75

⇒ The Shopkeeper claims to sell 1275 g, so he charges the customer for 1275 g.

⇒ Actual Selling Price received = (16 ÷ 1000) × 1275 = ₹20.40

⇒ Profit Amount = SP − CP = 20.40 − 12.75 = ₹7.65

⇒ Profit Percentage = (Profit ÷ CP) × 100

⇒ Profit Percentage = (7.65 ÷ 12.75) × 100 = 0.6 × 100 = 60%

∴ The correct answer is Profit of 60%.

Additional Information

Dishonest Dealer Concept

When a dealer sells at CP but uses a weight of 'w' instead of 'W', Profit % = [(W − w) ÷ w] × 100.

Effective Profit/Loss

If there is a price change (P%) and a weight manipulation (W%), the net result is calculated by multiplying the ratios: Net Ratio = (SP_price/CP_price) × (True Weight/False Weight).

Profit and Loss Basics

Profit % is always calculated on the Actual Cost Price incurred by the seller for the quantity actually delivered.

Shortcut Trick

Ratio of length (l) : breadth (b) : height (h) = 2 : 1 : 0.5 = 4 : 2 :

1. Product of ratio parts = 4 × 2 × 1 = 8.

Cube of common factor (x³) = Total Volume ÷ Product of ratios = 1728 ÷ 8 = 216.

Common factor (x) = √³216 = 6.

Dimensions: l = 4 × 6 = 24, b = 2 × 6 = 12, h = 1 × 6 = 6.

∴ The correct answer is 24×12×6.

Alternate Method

Given:

Volume (V) of the cuboidal cold storage = 1728 m³

Length (l) = 2 × Breadth (b)

Height (h) = Breadth (b) ÷ 2

Formula Used:

Volume of Cuboid = length × breadth × height

Calculations:

⇒ 1728 = l × b × h

⇒ 1728 = (2b) × b × (b/2)

⇒ 1728 = b × b × b

⇒ 1728 = b³

⇒ b = √³1728

⇒ b = 12 m

⇒ l = 2 × 12 = 24 m

⇒ h = 12 ÷ 2 = 6 m

Dimensions in l×b×h format = 24 × 12 × 6

∴ The correct answer is 24×12×6.

Additional Information

Total Surface Area of Cuboid

The total surface area (TSA) is the sum of the areas of all six faces: TSA = 2(lb + bh + hl).

Lateral Surface Area of Cuboid

The lateral surface area (LSA) is the area of the four side walls: LSA = 2h(l + b).

Space Diagonal of Cuboid

The longest rod that can be placed inside a cuboid is its diagonal: d = √(l² + b² + h²).

Shortcut Trick

The ratio of surface areas of two spheres is proportional to the square of their radii ratio.

Ratio of areas = 16 : 49 ⇒ Ratio of radii = √16 : √49 = 4 : 7.

The ratio of volumes is proportional to the cube of their radii ratio.

Ratio of volumes = 4³ : 7³ = 64 : 343.

∴ The correct answer is 64 : 343.

Alternate Method

Given: Ratio of surface areas (A₁ : A₂) = 16 : 49.

Formula Used: Surface area of a sphere = 4πr²; Volume of a sphere = (4/3)πr³.

⇒ (4πr₁²) / (4πr₂²) = 16/49

⇒ (r₁/r₂)² = 16/49

⇒ r₁/r₂ = √(16/49) = 4/7

⇒ V₁/V₂ = [(4/3)πr₁³] / [(4/3)πr₂³]

⇒ V₁/V₂ = (r₁/r₂)³ = (4/7)³

⇒ V₁/V₂ = 64/343

∴ The correct answer is 64 : 343.

Additional Information

Scaling Properties of Spheres

If the radius ratio is a : b, then the surface area ratio is a² : b² and the volume ratio is a³ : b³.

Hemisphere Measurements

For a hemisphere of radius r, the curved surface area is 2πr², the total surface area is 3πr², and the volume is (2/3)πr³.

Ratio of Circle Parameters

For circles, if the radius ratio is a : b, the circumference ratio is a : b and the area ratio is a² : b².

Shortcut Trick

For one filling pipe (x) and one emptying pipe (y), the net time taken is:

Net Time = (x × y) ÷ (y − x)

Here, x = 12 hr and y = 24 hr.

Net Time = (12 × 24) ÷ (24 − 12) = (12 × 24) ÷ 12 = 24 hr.

∴ The correct answer is 24 hr.

Alternate Method

Given: Filling time = 12 hr, Emptying time = 24 hr.

⇒ Total capacity of the tank = LCM of 12 and 24 = 24 units.

⇒ Efficiency of Filling Pipe = 24 ÷ 12 = +2 units/hr.

⇒ Efficiency of Emptying Pipe = 24 ÷ 24 = −1 units/hr (negative because it empties).

⇒ Combined Efficiency = 2 − 1 = 1 unit/hr.

⇒ Time to fill the tank = Total Capacity ÷ Combined Efficiency

⇒ Time = 24 ÷ 1 = 24 hr.

∴ The correct answer is 24 hr.

Additional Information

Inlet and Outlet Pipes

An Inlet pipe fills the tank (positive efficiency), and an Outlet/Waste pipe empties it (negative efficiency).

Combined Rate Formula

If two pipes fill a tank in x and y hours respectively, the combined time is (xy) ÷ (x + y). If one empties, the sign of its efficiency is reversed.

Work and Efficiency

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

Shortcut Trick

Ratio of shares (Older : Younger) = (1 + r/100)^Δt : 1

Difference in time (Δt) = (24 − 13) − (24 − 14) = 11 − 10 = 1 year.

Ratio of Tushar : Ketan = (1 + 10/100)¹ : 1 = 1.1 : 1 = 11 : 10.

Total units = 11 + 10 = 21 units → ₹23,100.

Tushar's share = (11 / 21) × 23,100 = ₹12,100.

∴ The correct answer is ₹12,100.

Alternate Method

Given:

Total wealth = ₹23,100

Age of Ketan = 13 years | Age of Tushar = 14 years

Time for Ketan (n₁) = 24 − 13 = 11 years

Time for Tushar (n₂) = 24 − 14 = 10 years

Rate of interest (r) = 10% per annum compounded annually.

Formula: Amount (A) = P(1 + r/100)ⁿ

Let the initial money given to Ketan be ₹K and to Tushar be ₹T.

⇒ K(1 + 10/100)¹¹ = T(1 + 10/100)¹⁰

⇒ K(110/100)¹¹ = T(110/100)¹⁰

⇒ K(1.1)¹¹ = T(1.1)¹⁰

⇒ T / K = (1.1)¹¹ / (1.1)¹⁰

⇒ T / K = 1.1 / 1 = 11 / 10

⇒ Ratio T : K = 11 : 10

⇒ Total sum = 11 + 10 = 21 units

⇒ 21 units = ₹23,100

⇒ 1 unit = 23,100 ÷ 21 = ₹1,100

⇒ Tushar's share = 11 × 1,100 = ₹12,100

∴ The correct answer is ₹12,100.

Additional Information

Compound Interest (CI)

It is the interest calculated on the initial principal, which also includes all of the accumulated interest from previous periods.

Amount in Compound Interest

A = P(1 + r/100)ⁿ, where A is the amount, P is the principal, r is the annual rate, and n is the time in years.

Ratio Distribution Rule

When the final amounts are equal, the person with the shorter duration (the older person) must receive a larger principal share.

Shortcut Trick

Distance = Speed × Time

Convert Time to hours: 26 min = 26 ÷ 60 hr = 13 ÷ 30 hr.

Length = 48 × (13 ÷ 30) = (48 ÷ 6) × (13 ÷ 5) = 8 × 2.6 = 20.8 km.

Alternatively, 48 ÷ 60 = 0.8 km per minute.

Length = 0.8 × 26 = 20.8 km.

∴ The correct answer is 20.8 km.

Alternate Method

Given:

Speed of the bicycle = 48 km/hr

Time taken to cross the bridge = 26 min

Formula used:

Distance (Length) = Speed × Time

Calculations:

⇒ To find the length in km, first convert the time from minutes to hours.

⇒ Time in hours = 26 ÷ 60 hr

⇒ Length of bridge = 48 × (26 ÷ 60)

⇒ Length of bridge = (48 ÷ 60) × 26

⇒ Length of bridge = 0.8 × 26

⇒ Length of bridge = 20.8 km

∴ The correct answer is 20.8 km.

Additional Information

Conversion of Units

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

Time Conversion

Always ensure the units of speed and time are consistent. To convert minutes into hours, divide the value by 60 (1 hr = 60 min).

Relative Speed

When two objects move in the same direction, relative speed = S₁ − S₂. When they move in opposite directions, relative speed = S₁ + S₂.

The correct answer is SPQR.

Key Points

• The sentence construction begins with segment S (Mira rushed to the bus stop), which establishes the subject (Mira) and the principal action (rushed). This serves as the independent clause that grounds the narrative.
• Segment P (just in time to catch) follows logically as it introduces an adverbial phrase of time and an infinitive of purpose, explaining why and when the subject performed the action of rushing.
• Segment Q (the bus that was about to) identifies the direct object of the infinitive verb (to catch). It also introduces a relative clause using the relative pronoun (that) to provide more detail about the state of the bus.
• Segment R (leave for her school) provides the base verb (leave) necessary to complete the idiomatic expression (was about to) and specifies the final destination (for her school), bringing the sentence to a coherent conclusion.
• When rearranged in the sequence S-P-Q-R, the segments form a grammatically correct and logically sequenced English sentence: Mira rushed to the bus stop just in time to catch the bus that was about to leave for her school.

 Additional Information

• Sentence Rearrangement Fundamentals:
• Subject-Verb-Object (SVO): Most coherent sentences in English follow the SVO pattern. In this case, Mira (S) + rushed (V) + to the bus stop (Complement) forms the primary structure.
• Relative Clauses: The segment that was about to leave is a defining relative clause. It must immediately follow the noun it modifies (the bus) to avoid dangling modifiers.
• Infinitive Phrases: The phrase to catch is used here to express purpose. Such phrases are typically placed after the main predicate to explain the intention behind the movement.
• Temporal Context: The phrase just in time acts as a temporal modifier, narrowing down the specific moment the action occurred relative to the departure of the bus.

The correct answer is: Sharp.

Key Points

• The word 'obtuse' means someone who is slow to understand or lacking in insight or sensitivity. (मन्दबुद्धि / सुस्त)
• Example: He was being intentionally obtuse when he pretended not to understand my point.
• 'Sharp' refers to someone who is intellectually alert, quick-witted, or has a keen perception. It is the opposite of being dull or slow to understand. (कुशाग्र / तेज़)
• Example: Her sharp mind helped her grasp the complex mathematical concepts instantly.
• Hence, we can infer that the opposite of 'obtuse' is 'sharp'.

Therefore, the correct answer is: Sharp.

Additional Information

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

• Redundant (अनावश्यक): Not or no longer needed or useful; superfluous.
• Example: The new technology made the old machinery redundant.
• Vague (अस्पष्ट): Thinking or communicating in an unfocused or imprecise way.
• Example: He gave a vague description of the suspect, which did not help the police.
• Blunt (कुंद / मुँहफट): Lacking sharpness (as in a knife) or being very direct even if it is rude.
• Example: The blunt knife could not cut through the thick rope.

The correct answer is: a burnt child dreads the fire.

Key Points

• The segment 'one who has got into trouble by anything will avoid it ever afterwards' refers to the behavior of being extremely cautious or avoiding a particular situation after having a painful or negative experience with it. (एक बार मुसीबत में पड़ने के बाद उससे हमेशा बचने वाला)
• Example: After his first business failed and he lost all his savings, he became very hesitant to invest again; it is true that one who has got into trouble by anything will avoid it ever afterwards.
• The idiom 'a burnt child dreads the fire' is used to say that a person who has suffered a bad experience will be careful to avoid it in the future. (दूध का जला छाछ भी फूँक-फूँक कर पीता है)
• Example: Ever since Sarah got into a car accident while texting, she doesn't even touch her phone while driving, because a burnt child dreads the fire.
• Hence, the most appropriate idiom to substitute the given segment is 'a burnt child dreads the fire'.

Therefore, the correct answer is- a burnt child dreads the fire.

Additional Information

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

• The early bird gets the worm (जो पहले आता है उसे लाभ मिलता है): This proverb means that the person who takes the earliest opportunity to do something will gain an advantage over others.
• Example: If you want the best seats for the concert, you should book them now because the early bird gets the worm.
• A bad workman quarrels with his tools (नाच न जाने आँगन टेढ़ा): This refers to a person who blames their equipment or external factors for their own lack of skill or poor performance.
• Example: He blamed the slow laptop for his incomplete assignment, but everyone knew he had started late; it was a classic case of a bad workman quarrels with his tools.
• A fool's bolt is soon shot (मूर्ख व्यक्ति अपनी ऊर्जा या साधन जल्दी ही समाप्त कर देता है): This means that a foolish person quickly uses up all their resources, ideas, or efforts and is left with nothing.
• Example: The young politician made all his major promises in the first five minutes of the rally and had nothing else to say; truly, a fool's bolt is soon shot.

The correct answer is BDEAC.

Key Points

• The sentence begins with the fixed subject-verb combination Climate change is becoming, which logically requires a noun phrase to serve as a complement. Part B ('a serious global concern') effectively completes this initial thought.
• Part D ('due to its widespread impact on the environment') provides the causal justification for why climate change is categorized as a concern, following the complement naturally.
• Part E ('across the world') functions as a prepositional phrase that specifies the geographical extent of the environmental impact mentioned in the previous part.
• Part A ('that requires urgent and collective action') introduces a relative clause. In this context, the relative pronoun that refers back to the global concern identified in Part B, describing the necessity arising from the situation.
• Part C ('by governments, industries, and individuals') serves as the final prepositional phrase that identifies the agents responsible for the collective action mentioned in Part A.

 Additional Information

• Syntactic Construction in Sentence Ordering
• Subject-Complement Link: In the phrase 'is becoming a serious global concern', the verb becoming acts as a linking verb connecting the subject to its state.
• Causal Connectors: The use of due to in Part D is a standard way to introduce reasons or evidence for the preceding statement.
• Parallelism: Part C utilizes parallel structure by listing 'governments, industries, and individuals' as equal contributors to the required action.
• Contextual Flow: The arrangement follows a logical progression from the definition of the problem (B) to the reason (D), the scope (E), the requirement (A), and finally the stakeholders (C).

The correct answer is: Posthumous.

Key Points

• The phrase 'Published after someone's death' refers to a literary work, award, or even a child born after the death of the creator, originator, or father. (किसी की मृत्यु के बाद प्रकाशित)
• Example: The author's final manuscript was discovered and published after his death by his daughter.
• 'Posthumous' describes something that occurs, is awarded, or appears after the death of the person involved. (मरणोपरांत)
• Example: The soldier was awarded a posthumous medal for his incredible bravery on the battlefield.
• Hence, we can infer that the one-word substitute for 'published after someone's death' is 'posthumous'.

Therefore, the correct answer is- Posthumous.

Additional Information

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

• Mundane (साधारण): Lacking interest or excitement; dull or relating to the ordinary world rather than heavenly or spiritual things.
• Example: Most of his days were filled with mundane tasks like filing paperwork and answering emails.
• Remiss (असावधान): Lacking care or attention to duty; negligent in performing one's obligations.
• Example: It would be remiss of the manager not to investigate the complaints made by the staff.
• Tenacious (दृढ़): Tending to keep a firm hold of something; clinging or adhering closely; persistent and determined.
• Example: The tenacious defense attorney spent months looking for evidence to prove his client's innocence.

The correct answer is 'of'.

Key Points

• The preposition 'of' is used to indicate the relationship or connection between a noun and a following noun phrase, often denoting representation or nature.
• The phrase 'symbol of' is a standard idiomatic collocation used to describe a person or object that represents a particular quality, ideal, or concept.
• In this sentence, the figure is identified as the embodiment or representative of selfless service.
• Options 1, 2, and 4 do not fit the idiomatic requirement of the noun 'symbol' in this specific context.

Therefore, the correct answer is Option 3.

Complete Sentence: 'Her legacy endures as an iconic figure and symbol of selfless service.'

Additional Information

• Option 1: 'at' is primarily used to indicate a specific point, location, or time.
• Option 2: 'in' typically denotes being inside a physical space, a larger geographic area, or a period of time.
• Option 4: 'with' generally indicates accompaniment, possession, or the instrument used to complete an action.

The correct answer is 'the'.

Key Points

• The definite article 'the' is used when referring to a specific noun or something that is unique in its existence.
• The noun 'atmosphere' refers to the specific layer of gases surrounding the Earth, which is a unique entity, thus necessitating the use of 'the'.
• Commonly, unique natural features and spheres like the sun, the moon, the sky, and the environment always take the definite article.

Therefore, the correct answer is Option 1.

Complete Sentence: 'He is studying how pollution affects the atmosphere and human health.'

Additional Information

• Option 2 ('an') and Option 3 ('a') are indefinite articles. They are used for non-specific, singular countable nouns. Since there is only one specific atmosphere being discussed, these are incorrect.
• Option 4 (No article required) is incorrect because scientific references to planetary layers almost always require a definite article for grammatical correctness.

The correct answer is 'zany'.

Key Points

• The word 'zany' refers to something that is amusingly unconventional, eccentric, or ludicrously comical. (अजीब और मनोरंजक)
• In the context of the sentence, the comedian's antics were described as having 'unexpected twists' and 'absurd humour', which directly aligns with the definition of 'zany'.
• The word perfectly describes behavior that is intended to cause laughter through its unpredictable and nonsensical nature.

​Therefore, the correct answer is 'Option 4'.

Complete Sentence: The audience burst into laughter at the comedian’s zany antics, which were full of unexpected twists and absurd humour.

Additional Information

• Dull (नीरस): Lacking interest or excitement; boring. This would not cause the audience to burst into laughter.
• Formal (औपचारिक): Done in accordance with rules of convention or etiquette; serious. Comedic antics are typically the opposite of formal.
• Predictable (पूर्वानुमेय): Behaving or occurring in a way that is expected. The sentence explicitly mentions 'unexpected twists', which contradicts this option.

The correct answer is: Licquidity.

Key Points

• The word 'Licquidity' is the incorrectly spelled version of the word used to describe the ease with which assets can be converted into cash. (अशुद्ध वर्तनी)
• Example: The student was asked to identify the spelling error in the word licquidity.
• 'Liquidity' refers to the availability of liquid assets or cash to a market or company to meet short-term obligations. (तरलता)
• Example: The firm has high liquidity, meaning it has enough cash to pay off its debts immediately.
• Hence, we can infer that the incorrectly spelt word among the options is 'Licquidity'.

Therefore, the correct answer is- Licquidity.

Additional Information

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

• Perspective (दृष्टिकोण): A particular attitude toward or way of regarding something; a point of view.
• Example: It is important to look at the situation from a different perspective before making a decision.
• Distinct (स्पष्ट): Recognizably different in nature from something else of a similar type; clear.
• Example: There is a distinct difference between the two types of fabric.
• Impairment (क्षति): The state or fact of being weakened, damaged, or imperfect.
• Example: He was diagnosed with a visual impairment that required specialized reading tools.

The correct answer is 'an, an'.

Key Points

• The word unusual begins with a vowel sound (/ʌ/), so the indefinite article an is used before it.
• The word elephant also begins with a vowel sound (/ɛ/), so the indefinite article an is used before it.
• Indefinite articles a and an are used for singular countable nouns that are being mentioned for the first time or are non-specific.
• Since both unusual bird and elephant start with vowel sounds, an is the correct choice for both blanks.

Therefore, the correct answer is Option 4.

Complete Sentence: 'I saw an unusual bird and an elephant in the forest.'

Additional Information

• Article 'a' is used before words starting with a consonant sound (e.g., a university, a house).
• Article 'an' is used before words starting with a vowel sound (e.g., an hour, an island).
• The choice between a and an is determined by the sound of the following word, not just the actual letter.

The correct answer is ERROR.

Key Points

• The given question follows the logic of a Cause and Effect relationship, where the first term is a behavioral trait and the second term is its typical negative consequence or outcome.
• Arrogance is defined as an insulting way of thinking or behaving that comes from believing that you are better than others. In many logical and psychological contexts, Arrogance leads to Failure because it causes an individual to ignore risks, underestimate challenges, and reject valuable feedback.
• Similarly, Impatience refers to the tendency to be irritable or restless due to delay, or a desire for immediate results without following the necessary process or duration.
• When an individual acts with Impatience, they often bypass critical checks, rush through complex tasks, or fail to exercise due diligence. This lack of carefulness and haste directly results in the occurrence of an Error.
• Therefore, just as Failure is the logical result of Arrogance, an Error is the logical result of Impatience in this analogy.

 Additional Information

• In competitive reasoning, Analogy questions test the ability to identify patterns between pairs of words.
• Endurance: This refers to the power of undergoing a difficult process without giving way. It is a virtue and acts as an antonymous concept to the results of impatience.
• Waiting: This is the action required to overcome impatience; it describes a state of being rather than a resulting consequence of the trait.
• Speed: This is a rate of motion. While impatient people often act with speed, speed itself is not a negative outcome like failure or error; it can be positive or negative depending on the context.

The correct answer is: Option (1) i.e. 'The researcher received a subpoena during the parliamentary inquiry into data fabrication.'.

Key Points

• The words 'subpena', 'parlimentary', and 'fabricetion' used in the original sentence are misspelled versions of legal and administrative terms. (अशुद्ध वर्तनी)
• Example: The draft document was flagged for correction because it contained typos like 'subpena' and 'fabricetion'.
• 'Subpoena' (अदालत का सम्मन) refers to a writ ordering a person to attend a court; 'parliamentary' (संसदीय) relates to a parliament or its procedures; and 'fabrication' (जालसाजी/निर्माण) refers to the act of inventing or falsifying information. (शुद्ध वर्तनी)
• Example: The committee conducted a parliamentary inquiry and issued a subpoena to the witness regarding the fabrication of results.
• Hence, we can infer that Option (1) is the only sentence where all spelling errors are correctly rectified.

Therefore, the correct answer is- Option (1).

Additional Information

Here are the other options explained along with their Hindi meanings and spelling errors:

• Option (2) (अशुद्ध विकल्प): This option correctly spells 'subpoena' but incorrectly spells 'parlimentary' (संसदीय) and 'fabricasion' (जालसाजी).
• Example: Spelling 'fabrication' as 'fabricasion' is a common phonetic error.
• Option (3) (अशुद्ध विकल्प): This option correctly spells 'fabrication' but incorrectly spells 'subpena' (अदालत का सम्मन) and 'parliamentery' (संसदीय).
• Example: The word 'parliamentary' must end with 'ary' rather than 'ery'.
• Option (4) (अशुद्ध विकल्प): This option introduces new errors such as 'receved' (प्राप्त किया) and 'subpeona' (अदालत का सम्मन).
• Example: In 'received', the letter 'i' must come before 'e' after the letter 'c'.

The correct answer is 'through'.

Key Points

• The preposition through is used to describe movement within an enclosed space or along a defined passage, such as a forest, a tunnel, or a path.
• In the given sentence, it indicates the action of moving along the narrow path from one point to another while being surrounded by the forest environment.
• Options 1, 2, and 4 are contextually or grammatically inappropriate for describing movement along a path in this manner.

Therefore, the correct answer is Option 3.

Complete Sentence: 'We walked slowly through the narrow path in the forest.'

Additional Information

• Option 1: 'beside' means next to or at the side of, which does not fit the context of walking on the path itself.
• Option 2: 'over' typically refers to moving across a surface or being at a higher level than something.
• Option 4: 'into' indicates movement entering a space, whereas the sentence describes the continuous action of walking along a passage.

The correct answer is 'Option (1)' i.e. 'sink'.

Key Points

• The word 'float' refers to the action of resting or moving on or near the surface of a liquid without falling to the bottom. (तैरना)
• Example: A lightweight plastic ball will float effortlessly on the water in the swimming pool.
• 'Sink' is the most appropriate antonym as it means to go down below the surface of a liquid or to fall to the bottom. (डूबना)
• Example: If you drop a heavy metal coin into the fountain, it will quickly sink to the bottom.
• Hence, we can infer that the opposite of 'float' is 'sink'.

Therefore, the correct answer is- sink.

Additional Information

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

• Glide (फिसलना/सहज गति से चलना): To move smoothly and continuously along a surface or through the air.
• Example: The professional skaters were able to glide across the frozen pond with grace.
• Drift (बहना/धीमी गति से चलना): To be carried along by a current of air or water without a fixed direction.
• Example: We watched the abandoned boat slowly drift away from the shore.
• Swim (तैरना): To propel oneself through water using limbs or fins.
• Example: Many athletes prefer to swim early in the morning to maintain their fitness.

The correct answer is: Few and far between.

Key Points

• The phrase 'very rare' refers to something that does not occur often, is uncommon, or is difficult to find. (बहुत दुर्लभ)
• Example: Finding someone who truly understands ancient manuscripts is very rare.
• 'Few and far between' is an idiom that means not happening or existing very often; it describes something that is scarce or infrequent. (बहुत कम / विरले ही)
• Example: In this remote area, gas stations are few and far between.
• Hence, we can infer that the idiom 'few and far between' is the appropriate replacement for 'very rare'.

Therefore, the correct answer is: Few and far between.

Additional Information

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

• Cut and dried (निश्चित / पहले से तय): Something that is already decided or settled in a way that is simple and easy to understand.
• Example: The decision to hire him was not as cut and dried as you might think.
• Fair and square (ईमानदारी से / निष्पक्ष): In a way that is honest and according to the rules.
• Example: She won the championship fair and square, without any controversy.
• Ever and anon (समय-समय पर / कभी-कभी): An old-fashioned expression meaning now and then or occasionally.
• Example: Ever and anon, a bird would chirp outside my window, breaking the silence.

The correct answer is Option 3.

Key Points

• The passage primarily focuses on how globalisation interacts with local cultures, arguing that it does not lead to homogenisation (becoming the same) but rather to the creation of hybrid formations.
• It highlights that local identities are not erased; instead, they are reconstituted through processes like selective appropriation and reinvention, using examples like indigenous communities and digital platforms.
• The text defines culture as a fluid assemblage rather than a bounded unit, emphasizing the dynamic process of transformation shaped by both global forces and local agency.
• Therefore, the most appropriate title that captures the essence of the entire passage is Globalisation and the Rise of Cultural Hybridity.

Therefore, the correct answer is Option 3.

Additional Information

• The Failure of Technology: This is incorrect because the passage views technology as a neutral flow or a tool used for cultural expression, not as a failure.
• The Disappearance of Indigenous Identities: This is incorrect because the author explicitly states that local identities are not erased but are instead reconstituted and reinforced.
• Ancient Ritual Practices: This is incorrect because it is too narrow; rituals are mentioned only as one example of cultural negotiation within the broader context of globalisation.

The correct answer is Option 1.

Key Points