SSC GD Constable 2026 Official Paper (Held On 30 Apr, 2026 Shift 1) (Previous Year Paper)

For 'KS' related to 'PH':

For 'DN' related to 'WM':

Applying the same logic to find the fifth cluster related to 'TQ':

Thus, the missing cluster related to TQ is GJ.

Hence, the correct answer is 'Option 1'.

The logic followed in this pattern is based on alphabetical shifts between consecutive letter clusters within each set.

For the set '(KI, IG, FD)':

For the set '(IJ, GH, DE)':

Applying the same logic to the set '(KT, IR, FO)':

Thus, the group of letter clusters (KT, IR, FO) follows the same logic and relation.

Hence, the correct answer is 'Option 1'.

The given year is 2025.

First, identify the closest preceding leap year to determine its position in the cycle:

2024 is a leap year because it is divisible by 4.

Thus, 2025 = 2024 + 1, which fits the (Leap Year + 1) category.

According to the shortcut rule, the calendar for 2025 will repeat after 6 years.

Year of repetition = 2025 + 6 = 2031.

Verification (Counting Odd Days):

We sum the odd days starting from 2025 until the total is divisible by 7:

2025 (Ordinary Year) = 1 odd day

2026 (Ordinary Year) = 1 odd day

2027 (Ordinary Year) = 1 odd day

2028 (Leap Year) = 2 odd days

2029 (Ordinary Year) = 1 odd day

2030 (Ordinary Year) = 1 odd day

Total odd days = 1 + 1 + 1 + 2 + 1 + 1 = 7 odd days.

Since 7 odd days equals 0 remaining odd days, the next year 2031 will begin on the same day as 2025. Because both 2025 and 2031 are Ordinary Years, their entire calendars will be identical.

Hence, the correct answer is “Option 1”.

5 boys A, B, C, D and E are sitting in a row facing north (not necessarily in the same order).

1. E is second from the left end of the row.
2. C is to the immediate right of A.
3. B and D are immediate neighbours of E.
4. B is not at any end of the row. 

Four boys are sitting to the left of C.

Hence, the correct answer is “Option 1”.

Given that there are 6 persons J, K, L, M, N and O with different heights.

From the clues, we can deduce the following relationships:

1. K is taller than only 3 persons.

In a group of 6 people, K is the 3^rd tallest.

→ _ > _ > K > _ > _ > _

2. J is taller than M, N and O.

This means J is taller than exactly these three persons.

→ J > M, N, O

3. J is not the tallest.

Since K is already the 3^rd tallest, J cannot be below K (otherwise J would not be taller than M, N and O).

Therefore, J must be the 2^nd tallest and L becomes the tallest.

→ L > J > K > M > N > O

4. J's height is 165 cm.

Since M is shorter than J, M's height must be less than 165 cm.

Among the given options, only 160 cm satisfies this condition.

Thus, the possible arrangement is:

→ L > J (165 cm) > K > M (160 cm) > N > O

Hence, the possible height of M is 160 cm.

Hence, the correct answer is "Option 2".

Given word: AGRICULTURE

(1) ARTICLES → Can not be formed as it requires the letter "S", which is not present in the given word.

(2) CULTURED → Can not be formed as it requires the letter "D", which is not present in the given word.

(3) GLACIER → Can be formed as all the letters are present in the given word.

(4) RECRUITS → Can not be formed as it requires the letter "S", which is not present in the given word.

Hence, the correct answer is "Option 3".

Given word: CONGRATULATIONS

(1) SOLUTION → Can be formed as all the required letters are present in the given word.

(2) CARTON → Can be formed as all the required letters are present in the given word.

(3) RATIONAL → Can be formed as all the required letters are present in the given word.

(4) LANGUAGES → Cannot be formed because it requires the letter "G" twice, whereas CONGRATULATIONS contains only one "G".

Hence, the correct answer is Option 4.

Logic followed here is,

444 - 12 = 432

432 - 12 = 420

420 - 12 = 408

408 - 12 = 396

Hence, the correct answer is “Option 1”.

Logic followed here is,

842 - 16 = 826

826 - 32 = 794

794 - 48 = 746

746 - 64 = 682

Hence, the correct answer is “Option 1”.

The logic followed here is,

7 × 3 + 1² = 21 + 1 = 22

22 × 4 + 2² = 88 + 4 = 92

92 × 5 + 3² = 460 + 9 = 469

469 × 6 + 4² = 2814 + 16 = 2830

2830 × 7 + 5² = 19810 + 25 = 19835

Hence, the correct answer is 'Option 2'.

Pattern followed here is,

Similarly,

Hence, the correct answer is “Option 1”.

Pattern followed here is,

Similarly,

Hence, the correct answer is “Option 1”.

For, BL95 : OE141 →

For, DK81 : NG127 →

Similarly

KF63 : ?  →

Hence, the correct answer is “Option 1”.

YXD500 : VUA260 →

KMO480 : HJL240 →

Similarly,

RTU420 : ? →

Hence, the correct answer is 'Option 3'.

The logic followed here is:

Logic: Second Number = First Number − 56

For the first pair 6307 : 6251

⇒ 6307 − 56 = 6251.

For the third pair 8253 : 8197

⇒ 8253 − 56 = 8197.

Applying the same logic to the second pair

4661 : ?

⇒ 4661 − 56 = 4605.

Hence, the correct answer is 'Option 1'.

The logic followed here is:

Logic: First Number = Second Number + 321

For the second pair 714 : 393

⇒ 393 + 321 = 714

For the third pair 759 : 438

⇒ 438 + 321 = 759

Applying the same logic to the first pair

? : 581

⇒ 581 + 321 = 902

Hence, the correct answer is 'Option 3'.

SKIS is coded as XJFN →

SAWS is coded as XZTN →

Similarly,

let's find the code for MAMA:

Hence, the correct answer is “Option 4”.

Given:

Therefore, the code for 'bus work' will be 'ask msk'.

Hence, the correct answer is “Option 3”.

Pattern followed here is,

Hence, the correct answer is “Option 1”.

First, calculate the total time elapsed between the two given observations:

Time from 10:30 AM to 4:30 PM = 6 hours

Now, determine the total time lost by the clock during this interval:

Loss at 10:30 AM = 3 minutes

Loss at 4:30 PM = 9 minutes

Total loss in 6 hours = 9 − 3 = 6 minutes

Now, find the rate of loss per hour:

Rate of loss = 6 minutes ÷ 6 hours = 1 minute per hour

Since the clock is losing 1 minute every hour and was 3 minutes slow at 10:30 AM, it must have been at the correct time 3 hours earlier.

Time when the clock was correct = 10:30 AM − 3 hours

10:30 AM − 1 hour = 9:30 AM

9:30 AM − 1 hour = 8:30 AM

8:30 AM − 1 hour = 7:30 AM

Hence, the clock showed the correct time at 7:30 AM.

Hence, the correct answer is “Option 2”.

The correct answer is Governor.

Key Points

• The Governor of a state is vested with the constitutional authority to summon, prorogue, and dissolve the state legislature under the provisions of the Indian Constitution.
• According to Article 174, the Governor shall from time to time summon the House or each House of the State Legislature to meet at such time and place as they think fit.
• Summoning is the official process of calling the members of the Legislative Assembly or Legislative Council to commence a new session.
• Prorogation refers to the act of terminating a session of the House without dissolving the Legislative Assembly itself; it is typically done after a session is adjourned sine die by the presiding officer.
• The Governor must ensure that the maximum gap between two consecutive sessions of the state legislature does not exceed six months.
• While these powers are technically discretionary in certain extreme situations, the Governor generally exercises them based on the aid and advice of the Council of Ministers headed by the Chief Minister.

 Additional Information

• Speaker of the Assembly:
• The Speaker has the power to adjourn the House, which means suspending the work in a sitting for a specific period (minutes, hours, or days).
• The Speaker can also adjourn the House sine die, which terminates a sitting for an indefinite period.
• President of India:
• Under Article 85, the President holds analogous powers at the central level to summon and prorogue the Parliament and dissolve the Lok Sabha.
• Chief Minister:
• The Chief Minister is the head of the state government who recommends the summoning or prorogation of the house to the Governor.
• Dissolution:
• While prorogation only ends a session, dissolution ends the very life of the Legislative Assembly, necessitating a fresh General Election.

The correct answer is Supreme Court.

Key Points

• According to Article 71 of the Constitution of India, all doubts and disputes arising out of or in connection with the election of a President or Vice-President shall be inquired into and decided by the Supreme Court.
• The Supreme Court holds exclusive and original jurisdiction over such matters, and its decision is final and binding on all parties involved.
• An election petition challenging the election of the Vice-President can be presented to the Supreme Court only after the election process is concluded; it cannot be challenged while the election is in progress.
• If the Supreme Court declares the election of a person as Vice-President void, acts done by them in the exercise of their powers and duties before the date of the court's decision are not invalidated.
• The election of a Vice-President cannot be questioned on the ground of any vacancy existing among the members of the Electoral College electing them.

 Additional Information

• Election Commission of India:
• Under Article 324, the Election Commission is responsible for the superintendence, direction, and control of the preparation of electoral rolls and the conduct of elections to the Parliament, State Legislatures, and the offices of President and Vice-President.
• While the Election Commission manages the procedural aspects of the election, it does not have the legal authority to adjudicate disputes regarding the validity of the election outcome.
• Electoral College for Vice-President:
• The Vice-President is elected by an Electoral College consisting of members of both Houses of Parliament (Lok Sabha and Rajya Sabha) through a system of proportional representation by means of a single transferable vote.
• This includes both elected and nominated members of Parliament, unlike the Presidential election where nominated members do not participate.
• Constitutional Role:
• The Vice-President serves as the Ex-officio Chairman of the Rajya Sabha as per Article 64 and Article 89.
• The term of office is five years, but the individual may continue to hold office until their successor enters upon the office.

The correct answer is Rajasthan.

 

Key Points

• Maand is a sophisticated semi-classical style of singing that originated in the Marwar region of Rajasthan, particularly associated with the Jaisalmer district.
• The name of this musical style is derived from Maand, which was the ancient geographical name for the Jaisalmer territory during the medieval period.
• It occupies a unique position in Indian music, bridging the gap between Hindustani Classical music and the raw folk traditions of the desert, characterized by its complex melodic structure.
• Historically, this style was patronized by the royal courts of Rajasthan, where professional singers performed for kings and nobles to celebrate valour, romance, and seasonal changes.
• The most iconic composition in this style is Kesariya Balam Padharo Mare Desh, which has become the definitive cultural anthem of the state, used to welcome tourists and dignitaries.

 Additional Information

• Allah Jilai Bai:
• She was a legendary Maand singer from Bikaner who gained international fame for her soulful renditions.
• In recognition of her immense contribution to the preservation of this art form, she was awarded the Padma Shri in 1982.
• Performers and Communities:
• The preservation of Maand is largely credited to traditional musician communities such as the Manganiyars and Langas.
• Other notable exponents of this style include Mangi Bai of Udaipur and Gavri Devi of Jodhpur, both of whom specialized in royal court singing traditions.
• Musical Attributes:
• Unlike typical folk music, Maand requires formal training to master its vocal modulations and rhythmic patterns.
• It is often accompanied by traditional Rajasthani instruments like the Kamayacha, Sarangi, and Khartal to enhance the desert resonance.

The correct answer is 17.2 m.

Key Points

• The sensation of sound persists in the human brain for about 0.1 seconds. This time interval is technically known as the persistence of hearing.
• To hear a distinct echo, the reflected sound must reach the ear after a time interval of at least 0.1 seconds after the original sound is produced.
• The speed of sound in air at a standard room temperature (approximately 22 degrees Celsius) is taken as 344 m/s.
• The total distance traveled by the sound from the source to the obstacle and back to the listener is 2d, where d represents the minimum distance of the obstacle.
• By applying the formula Total Distance = Speed × Time, we get 2d = 344 m/s × 0.1 s, which equals 34.4 m.
• The minimum distance d of the obstacle from the source is calculated by dividing the total distance by two: 34.4 m ÷ 2 = 17.2 m.

 Additional Information

• Factors Affecting Echo:
• Temperature: The speed of sound increases with an increase in temperature. Consequently, the minimum distance required for an echo also increases as the air gets warmer. For instance, at 0 degrees Celsius, the speed is 331 m/s, making the distance approximately 16.55 m.
• Medium: Sound requires a material medium to travel. It travels fastest in solids, followed by liquids, and slowest in gases.
• Reflecting Surface: For an echo to be clear, the reflecting surface must be large enough compared to the wavelength of the sound and should be rigid.
• Reverberation:
• If the distance between the source and the obstacle is less than 17.2 m, the reflections occur too quickly to be distinguished as separate sounds. This leads to the persistence or prolongation of sound, known as reverberation.

The correct answer is The Other Side of Midnight.

 

Key Points

• The Other Side of Midnight, published in 1973, is one of the most commercially successful novels by Sidney Sheldon, solidifying his reputation as a master of the page-turner.
• The narrative is set against the sprawling backdrop of World War II and the years following it, covering a timeline from 1939 to 1947.
• The plot revolves around a tragic love story and a ruthless, obsessive quest for revenge involving three main characters: Noelle Page, a French woman; Larry Douglas, an American World War II pilot; and Catherine Alexander, an innocent American woman.
• The story moves across international locations, including Paris, Washington D.C., and Greece, capturing the historical atmosphere of wartime Europe and the high-stakes world of the elite.
• The novel is characterized by its exploration of betrayal, legal drama, and extreme passion, culminating in a shocking climax that highlights the consequences of obsession.

 Additional Information

• Tell Me Your Dreams:
• Released in 1998, this novel is a psychological thriller that focuses on the medical condition of Multiple Personality Disorder (now known as Dissociative Identity Disorder).
• It follows characters like Ashley Patterson and involves a high-profile murder trial.
• If Tomorrow Comes:
• Published in 1985, this work is a crime fiction novel that details the life of Tracy Whitney.
• The story centers on her transformation from an ordinary woman into a brilliant con artist following a wrongful imprisonment.
• Windmills of the Gods:
• Published in 1987, this is a political thriller involving Mary Ashley, who is appointed as the U.S. Ambassador to Romania.
• The plot deals with Cold War espionage and a secret international conspiracy known as the Committee.

The correct answer is Alluvial soil.

Key Points

• The Northern Plains of India are a vast depositional plain formed over millions of years by the sediment loads of three major river systems: the Indus, the Ganga, and the Brahmaputra.
• As these Himalayan rivers flow from the mountains to the plains, they carry massive quantities of silt, sand, and clay, which are deposited in a large foredeep basin located at the foothills of the Himalayas.
• This continuous process of deposition has resulted in the formation of Alluvial soil, which covers about 40 percent of India's total land area and makes the Northern Plains one of the most fertile agricultural tracts in the world.
• Alluvial soil is chemically rich in potash, phosphoric acid, and lime, although it is generally poor in nitrogen and organic matter.
• The soil is categorized into two types based on geological age: Bhangar, which is the older, less fertile alluvium containing calcareous deposits called Kankar, and Khadar, which is the newer, highly fertile alluvium replenished annually by floods.

 Additional Information

• Black Soil
• Commonly known as Regur soil or Black Cotton Soil, it is primarily found in the Deccan Trap region covering Maharashtra, Madhya Pradesh, and Gujarat.
• It is derived from the weathering of basaltic rocks (lava) and is known for its high moisture-retention capacity and self-plowing nature.
• Red Soil
• This soil develops on crystalline igneous rocks in areas of low rainfall, such as the eastern and southern parts of the Deccan Plateau.
• Its characteristic red color is due to the wide diffusion of iron in crystalline and metamorphic rocks; it appears yellow when found in a hydrated form.
• Laterite Soil
• Formed under conditions of high temperature and heavy rainfall, this soil is a result of intense leaching caused by tropical rains.
• It is rich in iron oxide and aluminum but poor in organic matter, making it suitable for plantation crops like cashew nuts, tea, and coffee.

The correct answer is Brahmaputra.

Key Points

• Majuli is officially recognized by the Guinness World Records as the largest river island in the world, located in the Brahmaputra River in the state of Assam, India.
• The island was formed due to the Brahmaputra River and its anabranch, the Kherkutia Xuti, joining with the Subansiri River, creating a unique mid-stream landmass.
• It is a significant center for Neo-Vaishnavite culture and philosophy, housing numerous Sattras (monastic institutions) established by the 15^th-16^th century saint-reformer Srimanta Sankardev.
• In September 2016, Majuli became the first island in India to be granted the status of a district, emphasizing its geographical and cultural importance to the nation.
• Despite its ecological richness, the island has faced severe soil erosion, shrinking from an estimated 1,250 square kilometers in the early 20^th century to approximately 352 square kilometers today.

 Additional Information

• Brahmaputra River
• Originates from the Angsi Glacier in the Kailash Range near Mansarovar Lake in Tibet, where it is known as the Yarlung Tsangpo.
• It enters India through Arunachal Pradesh as the Siang or Dihang river before flowing through the plains of Assam.
• Ganga River
• The largest river basin in India, originating from the Gangotri Glacier at Gaumukh in Uttarakhand, where it is known as the Bhagirathi.
• Godavari River
• Often referred to as the Dakshin Ganga or Vriddha Ganga, it is the longest river in Peninsular India, originating from Trimbakeshwar in Maharashtra.
• Yamuna River
• A major tributary of the Ganga, it originates from the Yamunotri Glacier on the Bandarpunch peaks of the Lower Himalayas.

The correct answer is Nitin Gupta.

Key Points

• Nitin Gupta, representing Uttar Pradesh, created a new national record in the boys 5000 m race walk at the 18^th National Youth Athletics Championships.
• He clocked an impressive time of 19:24.48, becoming the first Indian youth athlete to break the 20-minute barrier in this specific category.
• The event was held at the MGM Stadium in Udupi, Karnataka, in March 2023, which served as a selection trial for the Asian Youth Athletics Championships.
• Gupta shattered the previous national youth record of 20:11.84, which was set by Paramjeet Singh Bisht in 2018.

 Additional Information

• Athletics Federation of India (AFI):
• The AFI is the apex body for athletics in India and is responsible for conducting national championships and selecting athletes for international competitions like the Olympics and Asian Games.
• Other Participants:
• Tushar Panwar: He finished second in the same race with a time of 20:00.89, also performing exceptionally well by nearly breaking the sub-20 minute mark and the previous record.
• Yogita: She is a notable female race walker who competed in the girls 5000 m race walk category during the same championships.
• Race Walking Technique:
• It is a specialized discipline where the athlete must always maintain visible contact with the ground and the leading leg must be straight from the point of contact until the vertical upright position.

The correct answer is Time, cost, and recovery rate in bankruptcy cases.

Key Points

• The Resolving Insolvency indicator is a critical metric used to evaluate the efficiency of a country's bankruptcy framework and the legal infrastructure supporting the recovery of debts.
• It focuses on the Recovery Rate, which is calculated as cents on the dollar recovered by secured creditors through reorganization, liquidation, or debt enforcement proceedings.
• The Time component measures the duration (in calendar years) from the moment of a company's default until the point where creditors receive their final payment.
• The Cost component quantifies the total expenses involved in the insolvency proceedings, expressed as a percentage of the debtor's estate value, including court fees, attorney fees, and liquidator fees.
• The indicator also assesses the Strength of Insolvency Framework Index, which evaluates whether a country's laws follow international good practices for insolvency proceedings.

 Additional Information

• Ease of Doing Business (EoDB):
• This indicator was a fundamental part of the World Bank's Ease of Doing Business report, which ranked economies based on their regulatory environment.
• Effective insolvency laws are vital for a healthy financial system as they allow for the rapid reallocation of resources from failing firms to more productive ones.
• Insolvency and Bankruptcy Code (IBC), 2016:
• In India, the IBC was introduced to streamline the insolvency process, significantly improving the recovery rate and reducing the time taken for resolution.
• The National Company Law Tribunal (NCLT) is the designated adjudicating authority for handling corporate insolvency cases under this code.
• Before the IBC, insolvency resolution in India was governed by fragmented laws like the SICA and SARFAESI Act, which often led to prolonged delays.

The correct answer is Space tourism and station support.

Key Points

• The Bharatiya Antariksh Station (BAS) is India's upcoming sovereign space station, conceptualized by the Indian Space Research Organisation (ISRO) to establish a permanent human presence in Low Earth Orbit (LEO).
• As part of the expanded space roadmap unveiled by the Union Cabinet and ISRO, the station is designed to support a crew of 3 to 4 astronauts for extended missions, facilitating long-term station support for various orbital operations.
• One of the strategic objectives of the BAS is to foster the commercialization of space, which includes providing infrastructure for space tourism and private sector participation in space-based activities.
• The facility will serve as a primary laboratory for microgravity experiments in fields such as biotechnology, materials science, and pharmaceutical research, providing a unique environment that cannot be replicated on Earth.
• The roadmap targets the launch of the first module, BAS-1, by 2028, with the objective of making the entire multi-module station fully operational by the year 2035.
• The station will utilize advanced docking ports compatible with the Gaganyaan crew module, ensuring seamless logistics and crew rotation.

 Additional Information

• Gaganyaan Program:
• This is the foundational mission for BAS, aimed at demonstrating India's Human Spaceflight Capability by sending a crew to an altitude of 400 km.
• Successful execution of Gaganyaan is a prerequisite for the assembly and maintenance of the Bharatiya Antariksh Station.
• Long-term Vision (Amrit Kaal):
• The Indian Space Vision 2047 includes the establishment of the space station as a stepping stone toward a manned lunar landing by the year 2040.
• It also focuses on the development of the Next Generation Launch Vehicle (NGLV), which will be capable of carrying heavier payloads required for station expansion.
• Technological Features:
• The station will incorporate an indigenous Environmental Control and Life Support System (ECLSS) to sustain human life in the vacuum of space.
• It will act as a gateway for future deep-space exploration, providing a platform for refueling and equipment testing.

The correct answer is CE20 engine ignition in vacuum.

Key Points

• In February 2025, the Indian Space Research Organisation (ISRO) achieved a significant milestone by successfully conducting the ignition test of the CE20 cryogenic engine under vacuum conditions.
• The test was carried out at the High Altitude Test (HAT) facility located within the ISRO Propulsion Complex (IPRC) in Mahendragiri, Tamil Nadu.
• Vacuum ignition is a critical phase for cryogenic stages, as the engine must reliably start in the near-vacuum environment of space after the lower stages of the rocket have separated.
• The CE20 engine is the indigenous power plant for the C25 cryogenic upper stage of the Launch Vehicle Mark-3 (LVM3), which is India's heaviest satellite launch vehicle.
• This successful test further validates the engine's performance and reliability for upcoming high-profile missions, including the Gaganyaan human spaceflight program and heavy satellite launches.
• The technical parameters monitored during the test included ignition delay, chamber pressure buildup, and propellant flow rates, all of which met the predicted performance indices.

 Additional Information

• CE20 Cryogenic Engine:
• It operates on the Gas Generator cycle, making it the first Indian cryogenic engine to move away from the complex staged combustion cycle used in earlier models.
• It utilizes a combination of Liquid Oxygen (LOX) at −183 degrees Celsius and Liquid Hydrogen (LH2) at −253 degrees Celsius as propellants.
• The engine produces a nominal thrust of 200 kN (kilo-Newtons), providing the necessary velocity to place payloads into Geosynchronous Transfer Orbit (GTO).
• LVM3 (Launch Vehicle Mark-3):
• Formerly known as GSLV Mk III, it is a three-stage vehicle consisting of two S200 solid rocket boosters, an L110 liquid core stage, and the C25 cryogenic upper stage.
• It has the capacity to lift 4,000 kg of payload to GTO and nearly 8,000 kg to Low Earth Orbit (LEO).
• The CE20 engine is vital for the Gaganyaan mission, as it must meet human-rated safety standards, requiring rigorous testing and higher reliability margins.

The correct answer is 1976.

Key Points

• The Indian women's cricket team played its first-ever Test match in 1976, marking the country's official entry into the longest format of the game for women.
• The historic match was played against the West Indies at the M. Chinnaswamy Stadium in Bangalore (now Bengaluru) starting on October 31, 1976.
• Shantha Rangaswamy led the side as the first captain of the Indian women's Test team during this debut series.
• The match was the opening fixture of a six-match Test series conducted across various venues in India during the 1976-77 season.
• While the inaugural Test ended in a draw, India achieved its first-ever Test victory in the fourth match of the same series, held at Patna in November 1976.
• The Indian squad featured pioneers such as Fowzieh Khalili, Diana Edulji, and Shubhangi Kulkarni, who played significant roles in establishing the foundation of women's cricket in India.

 Additional Information

• Women's Cricket Association of India (WCAI):
• Formed in 1973 by Mahendra Kumar Sharma, it was the primary governing body for women's cricket before merging with the BCCI in 2006.
• The association was responsible for organizing the first Inter-State Championship in 1973 and securing international recognition for the Indian team.
• Shantha Rangaswamy's Contributions:
• She became the first Indian woman to score a Test century, which she achieved during the 1976 series against the West Indies at Dunedin.
• She was the first female cricketer to be honored with the Arjuna Award in 1976 and later received the BCCI Lifetime Achievement Award.
• International Evolution:
• Following their Test debut, India made its One Day International (ODI) debut in 1978 during the Women's Cricket World Cup hosted in India.
• The team's first T20 International (T20I) was played much later, in 2006, against England at Derby.

The correct answer is Verghese Kurien.

Key Points

• Dr. Verghese Kurien is celebrated as the Father of the White Revolution in India due to his pioneering role in Operation Flood, the world's largest dairy development program launched in 1970.
• He transformed India from a milk-deficient nation into the global leader in milk production, overtaking the United States in 1998.
• As the founder-chairman of the National Dairy Development Board (NDDB), he implemented the Anand pattern cooperative model, which eliminated middlemen and empowered millions of small-scale farmers.
• He was the driving force behind the Gujarat Co-operative Milk Marketing Federation (GCMMF), which manages the iconic brand Amul.
• For his extraordinary contributions to rural development and food security, he was honored with the Ramon Magsaysay Award, the World Food Prize, and India's second-highest civilian award, the Padma Vibhushan.

 Additional Information

• M.S. Swaminathan:
• Known as the Father of the Green Revolution in India.
• He introduced high-yielding varieties (HYV) of wheat and rice during the 1960s to ensure national food security.
• He served as the Director General of the Indian Council of Agricultural Research (ICAR).
• Norman Borlaug:
• Recognized as the Father of the Green Revolution globally.
• He was awarded the Nobel Peace Prize in 1970 for developing semi-dwarf, disease-resistant wheat varieties that saved over a billion people from starvation.
• Vikram Sarabhai:
• Regarded as the Father of the Indian Space Program.
• He was the primary architect behind the establishment of the Indian Space Research Organisation (ISRO) and the Physical Research Laboratory (PRL).

The correct answer is Three.

Key Points

• The Industrial Policy Resolution (IPR) of 1956 was adopted to replace the policy of 1948 and served as the Economic Constitution of India for several decades.
• It classified industries into three distinct categories, known as schedules, to define the respective roles of the State and private enterprise.
• Schedule A included 17 industries which were the exclusive responsibility of the State; this included strategic sectors such as arms and ammunition, atomic energy, iron and steel, heavy plant and machinery, and railways.
• Schedule B consisted of 12 industries that were to be progressively State-owned, but where private enterprise was expected to supplement the efforts of the State in establishing new units. This category included aluminum, mining, machine tools, and fertilizers.
• Schedule C comprised all the remaining industries not mentioned in the first two schedules, which were generally left open to the private sector, although they remained under the regulatory framework of the Industries (Development and Regulation) Act, 1951.

 Additional Information

• Context and Framework:
• The IPR 1956 was the foundational pillar of the Second Five-Year Plan, which followed the Mahalanobis Model of development focusing on heavy industries.
• The policy aimed at achieving a socialist pattern of society, emphasizing the expansion of the public sector to reduce disparities in income and wealth.
• It introduced a strict licensing system for the private sector to promote regional equality, ensuring that industries were established in economically backward regions through tax concessions and subsidized power.
• The resolution also highlighted the importance of village and small-scale industries for providing employment and ensuring a decentralized industrial structure.

The correct answer is Vijay Sankar.

Key Points

• Vijay Sankar, the Deputy Chairman of the Sanmar Group, was conferred with the Knight's Cross of the Order of Dannebrog in January 2025.
• He has served as the Honorary Consul General of Denmark in Chennai since 2012, representing Danish interests in Tamil Nadu, Kerala, Andhra Pradesh, Telangana, and Puducherry.
• The honor was bestowed by King Frederik X of Denmark in recognition of Sankar's outstanding contribution to strengthening bilateral ties and fostering economic cooperation between India and Denmark.
• The award highlights his role in advancing the Indo-Danish Green Strategic Partnership, particularly in the areas of renewable energy, shipping, and water technology.
• This recognition is part of the Danish Order of Chivalry, which is awarded to individuals for significant service to Denmark's international relations or civil and military merit.

 Additional Information

• Order of Dannebrog:
• Established in 1671 by King Christian V, it is one of the most prestigious honors in the Danish honors system.
• The insignia features the Dannebrog cross, which reflects the national flag of Denmark.
• Sanmar Group:
• A prominent Indian conglomerate based in Chennai with a diversified presence in chemicals, engineering, and shipping.
• The group maintains long-standing industrial collaborations with several European partners, including Danish entities.
• Natarajan Chandrasekaran:
• The Chairman of Tata Sons who was awarded the Chevalier de la Légion d'Honneur (Knight of the Legion of Honour) by France in 2023, but not the Danish honor in 2025.
• Rajnath Singh:
• The current Minister of Defence of India, who oversees strategic defense partnerships but was not the recipient of this specific diplomatic award.

The correct answer is Reduces public expenditure or increases taxes.

Key Points

• Contractionary Fiscal Policy is a macroeconomic tool utilized by the Government to decrease the level of Aggregate Demand within an economy, primarily to control inflation.
• One of the fundamental mechanisms is the reduction of public expenditure, which involves cutting government spending on projects, services, and subsidies, thereby lowering the total amount of money circulating in the economy.
• Another critical component is increasing taxes (such as Income Tax or Corporate Tax), which reduces the disposable income of households and the investment capacity of businesses, leading to lower private consumption.
• This policy is typically implemented when an economy is overheating, where the Gross Domestic Product (GDP) is growing too fast, leading to rising prices and an unsustainable fiscal deficit.
• The ultimate objective of these measures is to achieve price stability and prevent the erosion of purchasing power caused by excessive demand-pull inflation.

 Additional Information

• Expansionary Fiscal Policy:
• This is the opposite of contractionary policy, used during recessions to stimulate growth.
• It involves increasing public expenditure and reducing taxes to boost aggregate demand and reduce unemployment.
• Monetary Policy vs. Fiscal Policy:
• Fiscal Policy is managed by the Ministry of Finance through spending and taxation.
• Monetary Policy is managed by the Central Bank (such as the RBI in India or the Federal Reserve in the US) using tools like interest rates and reserve ratios.
• Printing more money is a form of monetary expansion (often called deficit financing), which is generally inflationary and contrary to contractionary goals.

Therefore, the correct option is 1.

The correct answer is Micro, Small, and Medium Enterprises (MSMEs).

Key Points

• The Micro, Small, and Medium Enterprises (MSME) sector is widely recognized as the engine of growth for the Indian economy, serving as the largest employer after the agriculture sector.
• According to various government reports, including the Ministry of MSME Annual Report, the sector provides employment to approximately 11.10 crore (111 million) people across 6.33 crore unincorporated non-agriculture enterprises.
• This sector is characterized by its labor-intensive nature, allowing for a much higher employment-to-capital ratio compared to large-scale industrial units.
• MSMEs contribute roughly 30% to India's Gross Domestic Product (GDP) and account for nearly 45% of the total exports from the country.
• The sector is crucial for inclusive development as it creates employment opportunities in rural and semi-urban areas, helping to reduce the migration of labor to metropolitan cities.

 Additional Information

• Large-scale capital-intensive industrial enterprises:
• These industries require heavy financial investment in machinery and technology. While they produce high value-added goods, their direct employment generation capacity is lower than MSMEs due to automation.
• Information Technology and software services:
• While the IT-BPM sector is a massive foreign exchange earner and employs approximately 5 million professionals, its workforce is specialized and significantly smaller in volume compared to the MSME sector.
• Classification Criteria:
• Under the revised MSME definition (2020), a Micro enterprise has investment ≤ 1 crore and turnover ≤ 5 crore; a Small enterprise has investment ≤ 10 crore and turnover ≤ 50 crore; and a Medium enterprise has investment ≤ 50 crore and turnover ≤ 250 crore.

The correct answer is 32.94.

Key Points

• As of 1 March 2025, the total count of active domestic LPG consumers in India has reached a landmark figure of 32.94 crore.
• This massive consumer base includes 10.33 crore beneficiaries specifically enrolled under the Pradhan Mantri Ujjwala Yojana (PMUY), a flagship scheme aimed at providing clean energy to economically weaker sections.
• The expansion of LPG coverage is a key component of India's energy policy, overseen by the Ministry of Petroleum and Natural Gas, to ensure the transition from traditional biomass to Liquefied Petroleum Gas.
• The achievement of 32.94 crore connections signifies an almost universal access to clean cooking fuel across rural and urban households in the country.

 Additional Information

• Pradhan Mantri Ujjwala Yojana (PMUY):
• Launched in May 2016 from Ballia, Uttar Pradesh, with the objective of safeguarding the health of women and children by providing clean cooking fuel.
• The subsequent phase, Ujjwala 2.0, was introduced in August 2021 to offer deposit-free LPG connections to migrants and low-income families who could not be covered in the first phase.
• The scheme provides a targeted subsidy of 300 rupees per cylinder to all PMUY beneficiaries to maintain affordability.
• Operational Framework:
• The supply and distribution are managed by Oil Marketing Companies (OMCs) such as Indian Oil (IOCL), Bharat Petroleum (BPCL), and Hindustan Petroleum (HPCL).
• The PAHAL (DBTL) scheme ensures that LPG subsidies are transferred directly to the Aadhaar-linked bank accounts of consumers, minimizing diversion and ensuring transparency.

The correct answer is 1855.

 

Key Points

• The Santhal Rebellion, also known as the Santhal Hool, was a major tribal uprising that took place in 1855-56 in the Rajmahal Hills of present-day Jharkhand and West Bengal.
• The revolt was led by four brothers: Sidhu, Kanhu, Chand, and Bhairav Murmu, who organized thousands of Santhals to fight against the British colonial authorities and their local collaborators.
• The primary cause of the rebellion was the oppressive Zamindari system and the Permanent Settlement of 1793, which led to the loss of tribal land and forced the Santhals into debt.
• The rebels targeted moneylenders (locally known as Mahajans or Dikus) and British officials who exploited the tribal population through exorbitant interest rates and land grabbing.
• The rebellion formally commenced on June 30, 1855, when a massive gathering at Bhagnadih declared independence from British rule and the zamindars.

 Additional Information

• Administrative Reforms:
• Following the suppression of the revolt, the British government created the Santhal Parganas district to ensure tribal laws were respected.
• The Santhal Parganas Tenancy Act was later enacted to protect the rights of the tribal population over their land and prevent transfers to non-tribals.
• Damin-i-Koh:
• This was a large area in the Rajmahal hills demarcated by the British in 1832 for the Santhals to settle and practice agriculture.
• Encroachment into this region by outsiders was a significant trigger for the 1855 uprising.
• Comparison of Years:
• 1821: This period saw early tribal unrest in Central India but does not coincide with the Santhal Hool.
• 1885: This year is historically significant for the foundation of the Indian National Congress.
• 1903: This era is associated with the aftermath of the Munda Rebellion (Ulgulan) led by Birsa Munda, which ended around 1900.

The correct answer is Hooghly.

Key Points

• Serampore College was founded in 1818 by the Baptist Missionary Society. It is one of the oldest educational institutions in India still in operation.
• The college was established by the Serampore Trio: William Carey, Joshua Marshman, and William Ward, who were pioneering Christian missionaries.
• The institution is located in the town of Serampore in the Hooghly district of West Bengal, situated on the western bank of the Hooghly River.
• At the time of its founding, Serampore was a Danish colony known as Frederiksnagore. This allowed the missionaries to function freely, as the British East India Company was initially hostile to missionary activities in their territories.
• The college was intended to provide education in Arts and Sciences to students of all castes and creeds, while also serving as a seminary for training Christian ministers.

 Additional Information

• Royal Charter of 1827:
• In 1827, King Frederick VI of Denmark granted a Royal Charter to the college, making it the first institution in Asia to have the status of a university.
• This charter empowered the college to confer degrees in any discipline, a right that was later incorporated into Indian Law.
• The Serampore Trio:
• William Carey: Often called the Father of Modern Missions, he was a renowned linguist who translated the Bible into numerous Indian languages, including Bengali and Sanskrit.
• William Ward: A master printer who established the Serampore Mission Press, which played a crucial role in the development of Bengali typography and publishing.
• Joshua Marshman: An educator who focused on the development of local schools and the study of Chinese and Indian languages.
• Geographical Context:
• The Hooghly River is a major distributary of the Ganges and has historically been a hub for colonial settlements, including the French in Chandannagar and the Dutch in Chinsurah.

Shortcut Trick

Apply BODMAS: solve the bracket (29 + 19 = 48) and multiply (48 × 2 = 96).

The expression becomes: 76 + 85 − 49 + 96 − 91.

Combine all positive terms (76 + 85 + 96 = 257) and negative terms (49 + 91 = 140).

Final result: 257 − 140 = 117.

∴ The correct answer is 117.

Alternate Method

Given Expression: 76 + 85 − 49 + (29 + 19) × 2 − 91

Method Used: BODMAS Rule (Brackets, Orders, Division, Multiplication, Addition, Subtraction)

Step-by-step Calculation:

⇒ 76 + 85 − 49 + (48) × 2 − 91 (Solving Bracket)

⇒ 76 + 85 − 49 + 96 − 91 (Performing Multiplication)

⇒ 161 − 49 + 96 − 91 (Performing Addition from left)

⇒ 112 + 96 − 91 (Performing Subtraction)

⇒ 208 − 91 (Performing Addition)

⇒ 117 (Final Subtraction)

∴ The correct answer is 117.

Additional Information

BODMAS Rule

It is an acronym used to remember the order of operations in mathematics: Brackets (), Of (or Orders like roots/powers), Division, Multiplication, Addition, and Subtraction.

Grouping Positive and Negative Terms

To minimize calculation errors, sum all positive numbers and all negative numbers separately, then find their difference at the final step.

Shortcut Trick

Apply the BODMAS rule to solve the expression in order: Brackets, Of, Division, Multiplication, Addition, and Subtraction.

Solve Of: (19 of 2) = 19 × 2 = 38.

Solve Division: 28 ÷ 4 = 7.

Simplify remaining terms: 92 − 36 + 7 + 38 − 14 + 17 = 104.

∴ The correct answer is 104.

Alternate Method

Given Expression: 92 − 36 + 28 ÷ 4 + (19 of 2) − 14 + 17

Formula Used: BODMAS Rule

⇒ 92 − 36 + 28 ÷ 4 + 38 − 14 + 17 (Solving Of first)

⇒ 92 − 36 + 7 + 38 − 14 + 17 (Solving Division)

⇒ (92 + 7 + 38 + 17) − (36 + 14) (Grouping Addition and Subtraction terms)

⇒ 154 − 50

⇒ 104

∴ The correct answer is 104.

Additional Information

BODMAS Rule

Defines the order of operations: Brackets (round, curly, square), Of (powers/multiplication), Division, Multiplication, Addition, and Subtraction.

The 'Of' Operator

The word 'of' functions as multiplication but must be performed before regular division and multiplication in the BODMAS hierarchy.

Grouping Strategy

For faster simplification, group all positive terms together and all negative terms together before the final subtraction.

Shortcut Trick

Count the decimal places in both numbers: 0.36 has 2 places and 0.00036 has 5 places.

Subtract the decimal places: 5 − 2 = 3 places difference.

Since the divisor has more decimal places, the result is 10³.

Result = 1000.

∴ The correct answer is 1000.

Alternate Method

Given: 0.36 ÷ 0.00036

Method: Convert decimal numbers into fractions for easier calculation.

⇒ 0.36 = 36/100

⇒ 0.00036 = 36/100000

⇒ Expression = (36/100) ÷ (36/100000)

⇒ Expression = (36/100) × (100000/36)

⇒ Expression = 100000 ÷ 100

⇒ 1000

∴ The correct answer is 1000.

Additional Information

Division of Decimals

When dividing by a decimal, move the decimal point in the divisor to the right until it becomes a whole number, and move it the same number of places in the dividend.

Power of 10 Rule

Multiplying a decimal by 10ⁿ shifts the decimal point n places to the right, while dividing by 10ⁿ shifts it n places to the left.

BODMAS Rule

In multi-step simplification questions, always follow the order of Brackets, Orders, Division, Multiplication, Addition, and Subtraction.

Shortcut Trick

Identify the standard algebraic identity: (a + b)² − (a − b)² = 4ab.

In the given expression, let a = 12.4 and b = 3.6.

The expression simplifies to: (4 × 12.4 × 3.6) ÷ (12.4 × 3.6).

The terms 12.4 × 3.6 in the numerator and denominator cancel each other out.

The remaining value is 4.

∴ The correct answer is 4.

Alternate Method

Given:

Expression = ((12.4 + 3.6)² − (12.4 − 3.6)²) / (12.4 × 3.6)

Formula Used:

Using the algebraic identity: (a + b)² − (a − b)² = 4ab

Calculations:

⇒ Let a = 12.4 and b = 3.6.

⇒ The numerator is in the form (a + b)² − (a − b)².

⇒ Numerator = 4 × a × b = 4 × 12.4 × 3.6.

⇒ The denominator is a × b = 12.4 × 3.6.

⇒ Expression = (4 × 12.4 × 3.6) ÷ (12.4 × 3.6).

⇒ Expression = 4.

∴ The correct answer is 4.

Additional Information

Sum of Squares Identity

(a + b)² + (a − b)² = 2(a² + b²). This is used when the middle sign is positive.

Difference of Squares

a² − b² = (a + b)(a − b). This identity is fundamental for factoring quadratic expressions.

BODMAS Rule

Always follow the order of Brackets, Orders, Division, Multiplication, Addition, and Subtraction for complex calculations.

Shortcut Trick

The given expression is in the form of the algebraic identity a³ + b³ + 3ab(a + b) = (a + b)³.

Here, let a = 10 and b = 6, which implies (a + b) = 16.

Substituting these values, the expression simplifies to (10 + 6)³.

⇒ 16³ = 4096.

∴ The correct answer is 4096.

Alternate Method

Given: (10)³ + (6)³ + 3 × 10 × 6 × 16

Method: Step-by-step simplification using arithmetic powers and BODMAS.

⇒ Calculate the cubes: 10³ = 1000 and 6³ = 216.

⇒ Calculate the product: 3 × 10 × 6 × 16 = 180 × 16.

⇒ 180 × 16 = 2880.

⇒ Total Sum = 1000 + 216 + 2880.

⇒ Total Sum = 4096.

∴ The correct answer is 4096.

Additional Information

Algebraic Cube Identities

The formula for the cube of a sum is (a + b)³ = a³ + b³ + 3ab(a + b). Similarly, the cube of a difference is (a − b)³ = a³ − b³ − 3ab(a − b).

Sum and Difference of Cubes

Do not confuse (a+b)³ with a³ + b³. The latter factors as (a + b)(a² − ab + b²), while a³ − b³ factors as (a − b)(a² + ab + b²).

Standard Cube Values

For faster calculations in competitive exams, it is recommended to memorize cubes up to 20, such as 11³ = 1331, 12³ = 1728, and 16³ = 4096.

Shortcut Trick

Area of Rhombus = (d₁ × d₂) ÷ 2

Product of Diagonals = 2 × Area = 2 × 54 = 108

Other Diagonal = 108 ÷ 9 = 12 cm

∴ The correct answer is 12 cm.

Alternate Method

Given:

Area of the rhombus = 54 cm²

Length of one diagonal (d₁) = 9 cm

Formula Used:

Area of a rhombus = (1/2) × d₁ × d₂

Calculations:

⇒ 54 = (1/2) × 9 × d₂

⇒ 54 × 2 = 9 × d₂

⇒ 108 = 9 × d₂

⇒ d₂ = 108 ÷ 9

⇒ d₂ = 12 cm

∴ The correct answer is 12 cm.

Additional Information

Properties of a Rhombus

All sides of a rhombus are equal, and the diagonals bisect each other at right angles (90°).

Side and Diagonals Relationship

The side 'a' of a rhombus can be found using the formula: 4a² = d₁² + d₂².

Perimeter of Rhombus

The perimeter is given by 4 × side. For this rhombus, side = √(4.5² + 6²) = 7.5 cm, so Perimeter = 30 cm.

Shortcut Trick

Sum of diagonals (d₁ + d₂) = 14 and Product (d₁d₂) = 2 × Area = 48.

By inspection, the numbers summing to 14 and multiplying to 48 are 6 and 8.

Half-diagonals are 3 and 4.

In a rhombus, side (s) forms a right-angled triangle with half-diagonals: s = √(3² + 4²).

Using the 3-4-5 Pythagorean triplet, side = 5 cm.

∴ The correct answer is 5 cm.

Alternate Method

Given:

Sum of diagonals (d₁ + d₂) = 14 cm

Area of rhombus = 24 cm²

Formula Used:

Area = (d₁ × d₂) / 2

4 × side² = d₁² + d₂²

Calculations:

⇒ Area = (d₁ × d₂) / 2 = 24

⇒ d₁ × d₂ = 48

⇒ (d₁ + d₂)² = d₁² + d₂² + 2d₁d₂

⇒ (14)² = d₁² + d₂² + 2(48)

⇒ 196 = d₁² + d₂² + 96

⇒ d₁² + d₂² = 100

⇒ 4 × side² = 100

⇒ side² = 25

⇒ side = √25 = 5 cm

∴ The correct answer is 5 cm.

Additional Information

Properties of a Rhombus

A rhombus is a quadrilateral with all sides equal. Its diagonals bisect each other at right angles (90°).

Side and Diagonal Relation

The side 's' and diagonals d₁ and d₂ are related by the formula: 4s² = d₁² + d₂².

Perimeter of Rhombus

Since all four sides are equal, the Perimeter = 4 × side.

Shortcut Trick

To find the LCM of (40, 18), check the multiples of the larger number 40.

Multiples of 40: 40, 80, 120, 160, 200, 240, 280, 320, 360.

Check divisibility by 18: 360 ÷ 18 = 20 (Perfectly divisible).

The first common multiple for both is 360.

∴ The correct answer is 360.

Alternate Method

Given:

LCM(A, B) = 40

C = 18

Formula Used:

LCM(A, B, C) = LCM(LCM(A, B), C)

Calculations:

⇒ LCM(A, B, C) = LCM(40, 18)

⇒ Prime factorization of 40 = 2 × 2 × 2 × 5 = 2³ × 5¹

⇒ Prime factorization of 18 = 2 × 3 × 3 = 2¹ × 3²

⇒ The LCM is the product of the highest power of every prime factor involved.

⇒ LCM = 2³ × 3² × 5¹

⇒ LCM = 8 × 9 × 5 = 360

∴ The correct answer is 360.

Additional Information

Associative Property of LCM

The Least Common Multiple is associative, meaning LCM(a, b, c) = LCM(LCM(a, b), c) = LCM(a, LCM(b, c)).

Relation between HCF and LCM

For any two positive integers x and y, the product of the numbers is equal to the product of their HCF and LCM: x × y = HCF(x, y) × LCM(x, y).

LCM of Fractions

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

Shortcut Trick

The fundamental property of two numbers states: Product of two numbers = HCF × LCM.

Product = 15 × 360

Product = 5400

∴ The correct answer is 5400.

Alternate Method

Given:

Highest Common Factor (HCF) = 15

Least Common Multiple (LCM) = 360

Formula Used:

Product of numbers (n₁ × n₂) = HCF(n₁, n₂) × LCM(n₁, n₂)

Calculations:

⇒ Product = 15 × 360

⇒ Product = 15 × (300 + 60)

⇒ Product = (15 × 300) + (15 × 60)

⇒ Product = 4500 + 900

⇒ Product = 5400

∴ The correct answer is 5400.

Additional Information

HCF and LCM of Fractions

HCF = (HCF of Numerators) ÷ (LCM of Denominators). LCM = (LCM of Numerators) ÷ (HCF of Denominators).

Co-prime Numbers

If two numbers are co-prime, their HCF is always 1, and their LCM is equal to their product.

HCF/LCM Relationship

The LCM of any set of numbers is always exactly divisible by their HCF.

Shortcut Trick

If A is R% less than B, then B is more than A by:

[R ÷ (100 − R)] × 100

Given R = 50

⇒ [50 ÷ (100 − 50)] × 100 = [50 ÷ 50] × 100 = 100%

∴ The correct answer is 100%.

Alternate Method

Given:

A is 50% less than B.

Let the value of B be 100.

⇒ A = 100 − 50% of 100

⇒ A = 100 − 50 = 50

Now, we need to find how much percentage more B is compared to A.

⇒ Difference = B − A = 100 − 50 = 50

⇒ Percentage More = [Difference ÷ A] × 100

⇒ [50 ÷ 50] × 100

⇒ 1 × 100 = 100%

∴ The correct answer is 100%.

Additional Information

Percentage Increase Formula

Percentage Increase = [(New Value − Original Value) ÷ Original Value] × 100.

Reciprocal Relation

If A is 1/x less than B, then B is 1/(x−1) more than A. Here, 50% = 1/2, so B is 1/(2−1) = 1/1 = 100% more than A.

Base Change Property

Percentage values change based on the denominator (base). When comparing B to A, A becomes the base.

Shortcut Trick

Ratio of Cost Price (CP) to Selling Price (SP) = 500 : 550 = 10 : 11.

Profit = 11 − 10 = 1 unit.

Profit percentage = (Profit units ÷ CP units) × 100.

Profit percentage = (1 ÷ 10) × 100 = 10%.

∴ The correct answer is 10%.

Alternate Method

Given:

Cost Price (CP) of the article = ₹500

Selling Price (SP) of the article = ₹550

Formula Used:

Profit = Selling Price − Cost Price

Profit Percentage = (Profit ÷ Cost Price) × 100

Calculations:

⇒ Profit = 550 − 500 = ₹50

⇒ Profit Percentage = (50 ÷ 500) × 100

⇒ Profit Percentage = (1 ÷ 10) × 100

⇒ Profit Percentage = 10%

∴ The correct answer is 10%.

Additional Information

Loss Percentage

When Cost Price is greater than Selling Price, Loss % = [(CP − SP) ÷ CP] × 100.

Marked Price and Discount

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

Effective Profit with Discount

If an article is marked up by x% and then a discount of y% is given, net profit % = x − y − (xy ÷ 100).

Shortcut Trick

Value = 25% of 500 = 125.

Since 125 is 25% more than A, it represents 125% of A.

125% → 125

100% (Value of A) → (125 ÷ 125) × 100 = 100.

∴ The correct answer is 100.

Alternate Method

Given:

Percentage value = 25% of 500

Relation: This value is 25% greater than A.

Formula Used:

Number = Base × (1 + Percentage Increase/100)

Calculations:

⇒ 25% × 500 = (25/100) × 500 = 125

⇒ 125 = A + (25/100) × A

⇒ 125 = A + 0.25A

⇒ 125 = 1.25A

⇒ A = 125 ÷ 1.25

⇒ A = 12500 ÷ 125

⇒ A = 100

∴ The correct answer is 100.

Additional Information

Percentage Increase

To increase a quantity by x%, multiply it by (1 + x/100). For example, a 25% increase is equivalent to multiplying by 1.25 or 5/4.

Fractional Equivalents

Knowing common fractions like 25% = 1/4 or 20% = 1/5 helps in faster calculation. Here, A + A/4 = 5A/4 = 125.

Base Value Concept

Always identify the base (100%) on which the percentage is calculated. In this problem, A is the base value.

Shortcut Trick

Let the Selling Price (SP) = 100 units.

Loss = 30% of SP = 30 units.

Cost Price (CP) = SP + Loss = 100 + 30 = 130 units.

Actual Loss% (on CP) = (Loss ÷ CP) × 100 = (30 ÷ 130) × 100.

Loss% = 300 ÷ 13 ≈ 23.08%.

∴ The correct answer is 23.08 percent.

Alternate Method

Given:

Loss percentage on Selling Price = 30%

Formula Used:

1. Cost Price (CP) = Selling Price (SP) + Loss
2. Loss percentage on CP = (Loss ÷ CP) × 100

Calculations:

⇒ Let the Selling Price (SP) be ₹100.

⇒ Loss = 30% of ₹100 = ₹30.

⇒ Cost Price (CP) = SP + Loss = 100 + 30 = ₹130.

⇒ Loss Percentage on CP = (30 ÷ 130) × 100.

⇒ Loss Percentage = 300 ÷ 13 = 23.0769...

⇒ Loss Percentage ≈ 23.08%.

∴ The correct answer is 23.08 percent.

Additional Information

Profit/Loss on Selling Price

When profit or loss is calculated on Selling Price, it is called the apparent profit/loss. To find the actual profit/loss, it must always be calculated on the Cost Price.

Conversion Formulas

If Loss% on SP is L%, then Loss% on CP = [L ÷ (100 + L)] × 100. If Profit% on SP is P%, then Profit% on CP = [P ÷ (100 − P)] × 100.

Basic P&L Relations

Profit = SP − CP (when SP > CP). Loss = CP − SP (when CP > SP). In case of loss, CP is always greater than SP.

Shortcut Trick

Total Work = LCM(18, 27, 36) = 108 units

Individual Efficiencies: A = 6, B = 4, C = 3

Total Efficiency (A + B + C) = 6 + 4 + 3 = 13 units/day

Work to complete = 2/3 × 108 = 72 units

∴ The correct answer is 72/13 days.

Alternate Method

Given:

Time taken by A alone = 18 days

Time taken by B alone = 27 days

Time taken by C alone = 36 days

Formula Used:

Total Work = Efficiency × Time

Calculations:

⇒ Combined efficiency of A, B and C = 6 + 4 + 3 = 13 units/day

⇒ 2/3 part of the work = 2/3 × 108 = 72 units

⇒ Time taken to complete 72 units = Work ÷ Combined Efficiency

⇒ Required Time = 72 ÷ 13 days

∴ The correct answer is 72/13 days.

Additional Information

Work and Efficiency Relationship

The time taken to complete a work is inversely proportional to the efficiency of the person (Time ∝ 1/Efficiency).

Combined Work Formula

If A and B can do a work in x and y days respectively, together they can do it in (x × y) ÷ (x + y) days.

Work and Wages

When workers work for the same duration, their wages are distributed in the ratio of their efficiencies.

Shortcut Trick

Efficiency ratio of A and B is the inverse of their time ratio = 28 : 21 = 4 : 3.

The total wage of ₹4200 is divided into 4 + 3 = 7 parts based on efficiency.

Value of 1 part = 4200 ÷ 7 = ₹600.

The difference between their shares is (4 − 3) = 1 part.

Difference in amount = 1 × 600 = ₹600.

∴ The correct answer is ₹600.

Alternate Method

Given: A can complete work in 21 days, B in 28 days. Total contract amount = ₹4200.

Formula Used: Wages are distributed in the ratio of efficiency when the duration of work is the same for all individuals.

⇒ Total Efficiency parts = 4 + 3 = 7 units

⇒ Total amount for 7 units = ₹4200

⇒ Amount for 1 efficiency unit = 4200 ÷ 7 = ₹600

⇒ Share of A = 4 × 600 = ₹2400

⇒ Share of B = 3 × 600 = ₹1800

⇒ Difference in amounts = 2400 − 1800 = ₹600

∴ The correct answer is ₹600.

Additional Information

Wages and Efficiency

Wages are directly proportional to the amount of work done. If time is constant, Wage Ratio = Efficiency Ratio.

Work-Time Relation

Efficiency is inversely proportional to Time taken to complete a task (Efficiency = 1 ÷ Time).

Pipes and Cisterns

Similar to Time and Work, filling efficiency is treated as positive work and leakage/emptying efficiency is treated as negative work.

Shortcut Trick

When distance is constant, Speed is inversely proportional to Time (Speed ∝ 1/Time).

Ratio of Time (Walk : Cycle) = 4.5 hr : 4 hr = 9 : 8

Ratio of Speed (Walk : Cycle) = 8 : 9

Since Walking Speed 8 units = 8 km/hr, then 9 units = 9 km/hr.

∴ The correct answer is 9 km/hr.

Alternate Method

Given:

Walking Speed (S₁) = 8 km/hr

Time taken (T₁) = 4 hr 30 min = 4.5 hr

Time taken by Cycle (T₂) = 4 hr

Formula Used:

Distance = Speed × Time

Calculations:

⇒ Total Distance = S₁ × T₁

⇒ Distance = 8 × 4.5 = 36 km

⇒ Speed of Cycle (S₂) = Distance ÷ T₂

⇒ S₂ = 36 ÷ 4 = 9 km/hr

∴ The correct answer is 9 km/hr.

Additional Information

Constant Distance Property

When distance is fixed, the ratio of speeds is the inverse of the ratio of time taken: S₁ × T₁ = S₂ × T₂.

Unit Conversion

To convert minutes into hours, divide by 60 (e.g., 30 min = 30/60 = 0.5 hr). To convert km/hr to m/s, multiply by 5/18.

Average Speed

If equal distances are covered at speeds 'u' and 'v', then Average Speed = 2uv ÷ (u + v).

Shortcut Trick

Since the speed of the train remains constant, the time taken is directly proportional to the total distance covered.

Total Distance 1 = 150 + 250 = 400 m

Total Distance 2 = 150 + 500 = 650 m

Ratio of Distances = 400 : 650 = 8 : 13

Since 8 units = 8 seconds, then 13 units = 13 seconds.

∴ The correct answer is 13 sec.

Alternate Method

Given:

Length of train (L_t) = 150 m

Length of first bridge (L_b1) = 250 m

Time taken (t₁) = 8 sec

Length of second bridge (L_b2) = 500 m

Formula Used:

Speed = Total Distance ÷ Total Time

Total Distance = Length of Train + Length of Object (Bridge/Platform)

Calculations:

⇒ Total distance covered to cross the first bridge = 150 + 250 = 400 m

⇒ Speed of the train = 400 ÷ 8 = 50 m/s

⇒ Total distance covered to cross the second bridge = 150 + 500 = 650 m

⇒ Time taken to cross the second bridge = Total Distance ÷ Speed

⇒ Time = 650 ÷ 50

⇒ Time = 13 sec

∴ The correct answer is 13 sec.

Additional Information

Crossing a Stationary Point Object

When a train crosses a pole, person, or tree, the distance covered is equal to the length of the train itself.

Crossing a Stationary Long Object

When a train crosses a bridge, platform, or another stationary train, the distance covered is (Length of train + Length of object).

Unit Conversion

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

Shortcut Trick

Let Cost Price (CP) = 100. Loss = 30% ⇒ Selling Price (SP) = 70.

Discount = 7/10 of SP = 0.7 × 70 = 49.

Marked Price (MP) = SP + Discount = 70 + 49 = 119.

Required percentage = (CP / MP) × 100 = (100 / 119) × 100 ≈ 84.03%.

∴ The correct answer is 84.03%.

Alternate Method

Given:

Loss Percentage = 30%

Discount = (7/10) × Selling Price (SP)

Formula Used:

1. SP = CP − Loss
2. MP = SP + Discount

Calculations:

⇒ Let Cost Price (CP) = 100 units

⇒ Loss = 30% of 100 = 30 units

⇒ Selling Price (SP) = 100 − 30 = 70 units

⇒ Discount = (7/10) × 70 = 49 units

⇒ Marked Price (MP) = SP + Discount = 70 + 49 = 119 units

⇒ Required % = (CP / MP) × 100 = (100 / 119) × 100

⇒ Required % = 10000 / 119 ≈ 84.03%

∴ The correct answer is 84.03%.

Additional Information

Profit and Loss Components

Cost Price (CP) is the price at which an item is bought. Selling Price (SP) is the price at which it is sold. Profit = SP − CP and Loss = CP − SP.

Marked Price and Discount

Marked Price (MP) is the price printed on the article. Discount is always calculated on MP. SP = MP − Discount.

Relation between CP and MP

The ratio of CP to MP can be expressed as CP / MP = (100 − Discount%) / (100 + Profit%) or (100 − Loss%).

Shortcut Trick

Effective Discount % = x + y − (xy/100)

Effective Discount % = 30 + 20 − (30 × 20 / 100) = 50 − 6 = 44%

Net Discount = 44% of Marked Price

Net Discount = 44% of ₹500 = (44/100) × 500 = ₹220

∴ The correct answer is ₹220.

Alternate Method

Given: Marked Price (MP) = ₹500, Successive discounts = 30% and 20%.

⇒ First discount = 30% of ₹500 = (30/100) × 500 = ₹150

⇒ Value after first discount = 500 − 150 = ₹350

⇒ Second discount = 20% of ₹350 = (20/100) × 350 = ₹70

⇒ Total Net Discount = First discount + Second discount = 150 + 70 = ₹220

⇒ Alternatively, Final Selling Price (SP) = 350 − 70 = ₹280

⇒ Net Discount = Marked Price (MP) − Selling Price (SP) = 500 − 280 = ₹220

∴ The correct answer is ₹220.

Additional Information

Successive Discount Formula

For three successive discounts of a%, b%, and c%, calculate the equivalent for the first two, then use that result with the third.

Selling Price and Discount

Selling Price = Marked Price × (1 − d₁/100) × (1 − d₂/100) ... × (1 − d_n/100).

Net Discount Value

Net Discount = Marked Price − Final Selling Price.

Shortcut Trick

Net Discount = [a + b − (a × b / 100)]%

Here, a = 10% and b = 30%

Net Discount = [10 + 30 − (10 × 30 / 100)]%

Net Discount = [40 − 3]% = 37%

∴ The correct answer is 37%.

Alternate Method

Given values: First discount = 10%, Second discount = 30%

Assume the Marked Price (MP) of the article is 100 units.

⇒ First discount = 10% of 100 = 10 units

⇒ Price after first discount = 100 − 10 = 90 units

⇒ Second discount = 30% of 90 = 27 units

⇒ Selling Price (SP) = 90 − 27 = 63 units

⇒ Total Discount = 100 − 63 = 37 units

⇒ Net Discount % = (37 / 100) × 100 = 37%

∴ The correct answer is 37%.

Additional Information

Successive Discounts Formula

For two successive discounts of x% and y%, the single equivalent discount = [x + y − (xy / 100)]%.

Fraction Method

Final Price = Marked Price × (100−d₁)/100 × (100−d₂)/100. This is useful for complex percentages.

Successive Percentage Change

For successive increases of x% and y%, the net change = [x + y + (xy / 100)]%. Note the change in sign compared to discounts.

The correct answer is 'vertically challenged'.

 

Key Points

• The idiom 'vertically challenged' is a euphemism used to describe someone who is short or below average height.
• In the context of recruitment for the army, candidates must meet specific physical standards, including a minimum height requirement. If a person does not meet this, they are not selected.
• The other phrases like 'diagonally challenged' or 'obliquely challenged' are not standard English idioms and carry no specific meaning in this context.

Therefore, the correct answer is 'Option 2'.

Complete Sentence: He was not selected in the army, as he was vertically challenged.

Additional Information

• Horizontally challenged: This is a humorous euphemism used to describe someone who is overweight or fat.
• Euphemism: A mild or indirect word or expression substituted for one considered to be too harsh or blunt when referring to something unpleasant or embarrassing.
• Idiomatic euphemisms are often used in informal or humorous English to avoid being direct about physical characteristics.

The correct answer is 'vicious circle'.

 

Key Points

• The idiom 'vicious circle' (or cycle) refers to a sequence of events where each problem creates another problem and then makes the first one worse, often creating an inescapable loop.
• In Hindu mythology, human existence is often described as being caught in the cycle of birth and rebirth (known as Samsara), which is driven by karma.
• The other words provided—'viscous', 'abacus', and 'truant'—do not form meaningful idioms with 'circle' and do not fit the philosophical context of the sentence.

Therefore, the correct answer is 'Option 1'.

Complete Sentence: According to the Hindu mythology, man is subjected to the vicious circle of birth and rebirth.

Additional Information

• Viscous: Refers to a fluid that has a thick or sticky consistency and does not flow easily (e.g., honey is more viscous than water).
• Abacus: An ancient tool used for performing mathematical calculations by sliding beads along rods.
• Truant: A student who stays away from school without permission or explanation.

The correct answer is Option(2) i.e. Entertainment.

Key Points

• The word 'Amusement' means the state or experience of finding something funny or entertaining; it refers to the feeling of being enjoyed or pleasantly occupied. (मनोरंजन)
• Example: The children watched the clown with great amusement.
• 'Entertainment' refers to the action of providing or being provided with amusement or enjoyment; it is used to describe performances or activities that give people pleasure. (मनोरंजन)
• Example: The hotel provides live entertainment every evening for its guests.
• Hence, we can infer that the closest synonym of 'Amusement' is 'Entertainment'.

Therefore, the correct answer is- Entertainment.

Additional Information

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

• Boredom (ऊब): The state of feeling weary and restless through lack of interest or activity.
• Example: He started humming a tune to relieve the boredom of the long journey.
• Anger (क्रोध): A strong feeling of annoyance, displeasure, or hostility.
• Example: It was difficult for him to hide his anger when the project was canceled.
• Confusion (भ्रम): Lack of understanding; uncertainty; a situation of panic or disorder.
• Example: There was some confusion about the new office timings.

The correct answer is: Dangerous.

Key Points

• The word 'hazardous' refers to something that is risky, perilous, or likely to cause harm or injury, particularly concerning health or safety. (खतरनाक)
• Example: The disposal of hazardous waste must be handled with extreme care to prevent environmental damage.
• 'Dangerous' is the closest synonym, describing something that is able or likely to cause harm, injury, or negative consequences. (खतरनाक)
• Example: It is dangerous to drive a vehicle while feeling extremely tired or drowsy.
• Hence, we can infer that the closest synonym of 'hazardous' is 'dangerous'.

Therefore, the correct answer is- Dangerous.

Additional Information

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

• Safe (सुरक्षित): Free from danger or risk; not likely to cause or lead to harm.
• Example: The rescue team ensured that everyone was safe after the flood.
• Helpful (सहायक): Giving or ready to give help; useful.
• Example: The guidebook provided many helpful tips for traveling across the country.
• Easy (आसान): Achieved without great effort; presenting few difficulties.
• Example: She found the final test to be quite easy because she had prepared well.

The correct answer is: Option(1) i.e. Wainskoting.

Key Points

• The word 'Wainskoting' is the misspelt word in the given options. (ग़लत वर्तनी)
• Example: The architectural plan contained a typo, spelling the wall treatment as wainskoting.
• The correct spelling is 'Wainscoting', which refers to wooden paneling that covers the lower part of the walls of a room. (कमरे की दीवारों के निचले हिस्से पर लकड़ी की सजावट)
• Example: The traditional dining room was decorated with elegant oak wainscoting.
• Hence, we can identify that 'Wainskoting' is incorrectly spelled as it should use 'c' instead of 'k'.

Therefore, the correct answer is- Wainskoting.

Additional Information

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

• Wholesome (पौष्टिक/स्वास्थ्यप्रद): Conducive to or suggestive of good health and physical well-being.
• Example: The farmer's market provides wholesome food grown without harmful chemicals.
• Windbreaker (हवा रोकने वाला जैकेट): A thin outer garment designed to resist wind chill and light rain.
• Example: It was a bit chilly near the coast, so he put on his windbreaker before walking on the beach.
• Wordsmith (शब्द-शिल्पी): A person who is skilled at using words, especially a professional writer.
• Example: As a veteran wordsmith, the journalist knew exactly how to capture the audience's attention.

The correct answer is: Sameness.

Key Points

• The word 'difference' refers to a point or way in which people or things are not the same; it denotes a distinction or dissimilarity between entities. (अंतर)
• Example: Scientists are studying the genetic difference between the two species of birds.
• 'Sameness' refers to the state or quality of being identical, similar, or uniform; it indicates a lack of variety or diversity, making it the direct opposite of difference. (समानता)
• Example: The sameness of the houses in the neighborhood made it difficult for him to find his friend's home.
• Hence, we can infer that the opposite of 'difference' is 'sameness'.

Therefore, the correct answer is- Sameness.

Additional Information

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

• Gap (अंतराल): A break in continuity, a space between two objects, or a disparity in views.
• Example: There is a wide gap between the rich and the poor in many developing countries.
• Concea (likely a typo for Conceal) (छिपाना): To prevent something from being seen or known; to hide.
• Example: He tried to conceal his true feelings behind a mask of indifference.
• Conflict (संघर्ष): A serious disagreement or argument, typically a protracted one.
• Example: The conflict between the two neighboring countries has lasted for decades.

The correct answer is: Spoiler.

Key Points

• The phrase 'Revealing of crucial details' refers to the act of sharing key plot points or the ending of a story, which can ruin the surprise for someone who has not experienced it yet. (फिल्म के कथानक के महत्वपूर्ण विवरणों का खुलासा करना)
• Example: He ruined the movie for everyone by revealing the crucial details of the ending.
• A 'Spoiler' is information about a plot of a movie, book, or television show that, if known beforehand, can reduce the suspense or surprise for the audience. (रहस्योद्घाटन/बिगाड़ने वाला)
• Example: I had to stay off social media all day to avoid any spoilers about the championship game.
• Hence, we can infer that the most suitable one-word substitution for the given phrase is 'spoiler'.

Therefore, the correct answer is: Spoiler.

Additional Information

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

• Teaser (ट्रेलर की एक छोटी झलक): A short video or advertisement used to build interest and anticipation for a film or product without revealing too much.
• Example: The production house released a thirty-second teaser that left fans wanting more.
• Climax (चरमोत्कर्ष/शिखर): The most intense, exciting, or important point in a story, play, or movie.
• Example: The movie reached its climax during the intense final confrontation between the two main characters.
• Twister (बवंडर): A common informal name for a tornado; it can also refer to something that twists or is confusing.
• Example: The twister swept through the valley, causing significant damage to the local farms.

The correct answer is: Uxorious.

Key Points

• The phrase 'Having a great fondness for one's wife' refers to a man who is excessively fond of his wife or shows extreme submission to her. (अपनी पत्नी के प्रति अत्यधिक प्रेम या आसक्ति होना)
• Example: His friends often teased him for his uxorious behavior, as he couldn't spend a single evening without her.
• 'Uxorious' describes a husband who is excessively or submissively fond of his wife. (अपनी पत्नी का बहुत शौकीन या जोरू का गुलाम)
• Example: He was an uxorious man who dedicated all his spare time to fulfilling his wife's every wish.
• Hence, we can infer that the most suitable one-word substitution for the given phrase is 'Uxorious'.

Therefore, the correct answer is- Uxorious.

Additional Information

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

• Delirious (बेसुध या उन्मत्त): In an acutely disturbed state of mind resulting from illness or intoxication, or a state of wild excitement.
• Example: The patient was delirious with a high fever and didn't recognize anyone.
• Apathetic (उदासीन): Showing or feeling no interest, enthusiasm, or concern.
• Example: The citizens were apathetic about the upcoming local elections.
• Feisty (साहसी या फुरतीला): (of a person, typically one who is relatively small) lively, determined, and courageous.
• Example: She is a feisty young woman who is not afraid to speak her mind.

The correct answer is 'for'.

 

Key Points

• The phrase 'take for granted' is a fixed idiomatic expression in the English language.
• It means to fail to properly appreciate someone or something, often because they are so familiar or consistently available that they are treated with indifference.
• In this context, the sentence suggests that children should appreciate their parents instead of ignoring their value.
• The preposition 'for' is the only grammatically correct choice that completes this idiom.

Therefore, the correct answer is Option 3.

 

Complete Sentence: "Children should not take their parents for granted; rather, they should respect them."

 

Additional Information

• Option 1: 'in' is incorrect because the expression 'take in granted' does not exist in English.
• Option 2: 'by' is incorrect because 'take by granted' is not a standard idiomatic construction.
• Option 4: 'about' is incorrect as it does not fit the required phrase structure for this meaning.

The correct answer is Were experiments being conducted by the students in the lab this morning?.

Key Points

• The given sentence is an interrogative sentence in the Past Continuous Tense. The active voice structure is: Was/Were + Subject + Verb(ing) + Object?
• To convert this into Passive Voice, the structure changes to: Was/Were + New Subject (Original Object) + being + Past Participle (V3) + by + Agent?
• The object of the active sentence is experiments, which is a plural noun. Therefore, the auxiliary verb Were must be used to maintain Subject-Verb Agreement.
• The continuous nature of the action is preserved in the passive voice by adding the word being before the past participle form of the verb (conducted).
• The subject the students becomes the agent introduced by the preposition by. The time and place modifiers in the lab this morning remain at the end of the sentence. Hence, the second option is the grammatically correct conversion.

 Additional Information

• Past Continuous Passive:
• This tense is used to indicate that an action was ongoing in the past when viewed from a passive perspective.
• The inclusion of being is mandatory; without it, the sentence would shift to Simple Past Passive, which changes the original meaning.
• Subject-Verb Agreement is crucial; using Was with a plural subject like experiments is a common grammatical error.
• Evaluation of Incorrect Options:
• Option 1: Uses Was with the plural subject experiments, violating agreement rules.
• Option 3: Uses Are, which incorrectly changes the tense from Past Continuous to Present Continuous.
• Option 4: Omits the word being, resulting in a Simple Past passive structure instead of Past Continuous.

The correct answer is The scientists at the institute are preparing an elaborate report on climate change for the upcoming conference..

Key Points

• The given sentence is in the Passive Voice and follows the structure of the Present Continuous Tense. This is identified by the auxiliary verb is, the continuous marker being, and the past participle prepared.
• To convert a Present Continuous passive sentence into Active Voice, the structure must be: Subject + is/am/are + V1 + ing + Object.
• The Agent in the passive sentence (the scientists at the institute) becomes the Subject in the active sentence. Since scientists is a plural noun, the auxiliary verb are is required.
• The verb prepared is changed back to its base form prepare and the -ing suffix is added to reflect the continuous nature of the action, resulting in preparing.
• The Subject of the passive sentence (An elaborate report on climate change) becomes the Direct Object in the active sentence.
• The prepositional phrase for the upcoming conference remains unchanged as it provides additional context regarding the purpose of the action.

 Additional Information

• Distinguishing Tenses in Active Voice:
• Simple Present Tense: Uses the base form of the verb (prepare/prepares). It represents habitual actions or general truths. Option 1 is incorrect because it changes the tense from continuous to simple present.
• Present Perfect Tense: Uses has/have + V3 (have prepared). It indicates an action that has been completed at an unspecified time in the past. Option 3 is incorrect as it implies completion rather than an ongoing process.
• Simple Future Tense: Uses will/shall + V1 (will prepare). It describes actions that have not yet happened. Option 4 is incorrect because it changes the timeframe of the report's creation to the future.
• Subject-Verb Agreement: In the active voice, the verb must agree with the new subject (The scientists). Because scientists is plural, are is the grammatically correct auxiliary verb to pair with the present participle.

The correct answer is 'in'.

 

Key Points

• The noun 'interest' is followed by the preposition 'in' when it refers to the feeling of wanting to give your attention to something or of wanting to be involved with and discover more about something.
• In the given sentence, the subject is Rahul's curiosity or hobby regarding music, which requires the standard prepositional phrase 'interest in'.
• Option 3 represents the correct preposition required for this context.
• Options 1, 2, 4, and 5 are grammatically incorrect or irrelevant as they do not form a standard idiomatic expression with 'interest' in this context.

Therefore, the correct answer is Option 3.

 

Complete Sentence: 'Rahul's interest in music has continued since his childhood.'

 

Additional Information

• A fixed preposition is a preposition that always follows a specific word (noun, verb, or adjective).
• Other examples of nouns with fixed prepositions include: Belief in, Reason for, Experience in, and Success in.
• The preposition 'for' (Option 2) can sometimes follow 'interest' but only in very specific financial contexts (e.g., interest for the year) or when meaning a benefit, which does not apply here.

The correct answer is Option 1.

 

Key Points

• The sentence follows the structure of parallel comparison (also known as a correlative or proportional comparison).
• This structure requires the pattern: The + comparative adjective/adverb + subject + verb, the + comparative adjective/adverb + subject + verb.
• In the first part, higher is the comparative degree of high. Therefore, the second part must also use a comparative degree.
• The comparative degree of little (used for uncountable nouns like oxygen) is less.
• While lesser is also a comparative, it is typically used as an attributive adjective to mean of smaller size, value, or importance (e.g., the lesser of two evils). When referring to the amount or quantity of something like oxygen, less is the grammatically correct choice.

Therefore, the correct answer is Option 1.

 

Correct Sentence: 'When scaling the Himalayas, the higher one ascends, the less oxygen is available.'

 

Additional Information

• Option 2: the least oxygen is available – This is incorrect because least is a superlative degree, whereas the correlative structure requires a comparative degree.
• Option 3: the oxygen available is lesser – This is incorrect because it breaks the parallel The + comparative structure required at the beginning of the clause.
• Option 4: No improvement required – This is incorrect because lesser is not standard in this specific correlative context comparing quantity; less is the appropriate term.

The correct answer is Option 3.

Key Points

• The paragraph describes a scene involving an old man walking on a hot day and finding a place to rest.
• Sentence S1 is fixed and introduces the setting:
• 'On a blazing hot summer afternoon, an old man came walking down a narrow village path.'
• Sentence C follows S1 because it describes the immediate physical condition of the old man mentioned in the opening sentence:
• 'He was tired and thirsty.'
• Sentence D is the third sentence as it shows the man reacting to his condition by spotting a location:
• 'Right by the road, he spotted a tiny grocery store.'
• Sentence B is the fourth sentence because the pronoun 'It' refers back to the grocery store identified in Sentence D, describing its structure:
• 'It had a tin roof and mud walls.'
• Sentence A is the fifth sentence as it moves from the exterior description of the building to the person inside:
• 'The shopkeeper sat inside fanning himself and shooing away the flies that were buzzing around in the stifling heat.'
• Sentence S2 is fixed and concludes the paragraph by describing the bench in front of the store.
• The correct logical sequence is CDBA.

Coherent paragraph after rearrangement:

'On a blazing hot summer afternoon, an old man came walking down a narrow village path. He was tired and thirsty. Right by the road, he spotted a tiny grocery store. It had a tin roof and mud walls. The shopkeeper sat inside fanning himself and shooing away the flies that were buzzing around in the stifling heat. There was a little bench in front of the store where the villagers met when evening came and the land had cooled down.'

The correct answer is Option 2.

 

Key Points

• The primary grammatical issue in the sentence is pronoun inconsistency.
• The sentence starts with the indefinite pronoun 'one' but concludes with the second-person pronoun 'you' ('people will respect you').
• In standard English, pronouns must be consistent throughout a sentence to maintain clarity and logical flow. If 'you' is used in the main clause, 'you' should also be used in the conditional clause.
• The phrase 'If you are honest' correctly matches the pronoun 'you' used later in the sentence and maintains the present tense required for a Type 1 conditional (real possibility).

Therefore, the correct answer is Option 2.

 

Correct Sentence: 'If you are honest, people will respect you.'

 

Additional Information

• Option 1 (If one were honest): This is incorrect because it retains the pronoun 'one' (clashing with 'you') and uses the subjunctive mood ('were'), which does not fit the factual or probable context of the sentence.
• Option 3 (If you were honest): This is incorrect due to tense mismatch. 'Were' implies a hypothetical past or present (Type 2 conditional), which is incompatible with the future result 'will respect'.
• Option 4 (No improvement required): This is incorrect because the original sentence suffers from pronoun shift, which is a common stylistic and grammatical error.