SSC GD Constable 2026 Official Paper (Held On 30 Apr, 2026 Shift 2) (Previous Year Paper)

For 'FS' related to 'IW':

For 'WJ' related to 'ZN':

Applying the same logic to find the cluster related to 'LC':

Thus, IY is related to LC.

Hence, the correct answer is 'Option 4'.

The logic followed in this pattern is a series of alphabetical shifts for each letter in the clusters within a set.

For the set '(KY, MC, PH)':

For the set '(AG, CK, FP)':

Applying the same logic to '(UL, WP, ZU)':

Thus, the set (UL, WP, ZU) follows the same logic.

Hence, the correct answer is 'Option 1'.

7 workers P, Q, R, S, T, U and V are sitting around a circular table facing towards the centre (not necessarily in same order).

1. R is the immediate neighbour of T and U.
2. S is the immediate neighbour of P and V.
3. V is second to the left of U.
4. T is second to the right of U. 

V is sitting at fourth to the right of R.

Hence, the correct answer is “Option 4”.

7 boys H, R, K, S, P, N and B are sitting in a row facing north (not necessarily in the same order).

1. No one is to the left of B. 
2. K, S and P are to the right of R.
3. Neither K nor S is at the ends of the row.
4. Neither N nor S is at second position from the either end of the row. 5. N and H are to the left of R.

P is sitting at the right end of the row.

Hence, the correct answer is “Option 4”.

We first find the prime factors of each number:

 

The highest power of 2 is 23 = 8

The highest power of 3 is 32 = 9

The highest power of 5 is 51 = 5

Calculation:

LCM = 23 × 32 × 51

LCM = 8 × 9 × 5

LCM = 72 × 5

LCM = 360

Hence, the correct answer is “Option 3”.

Given Information:

Principal (P) = ₹6,000

Rate (R) = 12% per annum

 

Time Period 1 (T1) = 3 years

 

Time Period 2 (T2) =  2 years

Formula:

Simple Interest (SI) = (Principal × Rate × Time) / 100

SI₁ = (6,000 × 12 × 3) / 100

SI₁ = 60 × 12 × 3

SI₁ = ₹2,160

Now,

SI₂ = (6,000 × 12 × 2) / 100

SI₂ = 60 × 12 × 2

SI₂ = ₹1,440

Difference = SI₁ − SI₂

Difference = 2,160 − 1,440

Difference = ₹720

Hence, the correct answer is “Option 3”.

Alternate Method

The difference can also be calculated by directly using the difference in the time periods:

Difference in Time = 3 years − 2 years = 1 year

Difference in SI = (Principal × Rate × Time Difference) / 100

Difference in SI = (6,000 × 12 × 1) / 100

Difference in SI = 60 × 12 = ₹720

Hence, the correct answer is “Option 3”.

Given:

1. Manoj is younger than Sanjay but older than Rohit. 

 Sanjay > Manoj > Rohit.

2. Anil is older than Sanjay but younger than Vikas.

Vikas > Anil > Sanjay.

By combining both sequences based on the common person (Sanjay), we get the following order:

Vikas > Anil > Sanjay > Manoj > Rohit

From the combined chain, it is evident that Vikas is the oldest and Rohit is the youngest.

Therefore, Rohit is the youngest among them.

Hence, the correct answer is 'Option 1'.

Logic followed here is.

55 + 6² = 55 + 36 = 91

91 + 7² = 91 + 49 = 140

140 + 8² = 140 + 64 = 204

204 + 9² = 204 + 81 = 285

285 + (10)² = 285 + 100 = 385

Hence, the correct answer is “Option 3”.

Logic followed here is,

12² + 12 = 144 + 12 = 156

 

13² + 13 = 169 + 13 = 182

 

14² + 14 = 196 + 14 = 210

 

15² + 15 = 225 + 15 = 240

 

16² + 16 = 256 + 16 = 272

Hence, the correct answer is “Option 2”.

Pattern followed here is,

Hence, the correct answer is “Option 1”.

Pattern followed here is,

Hence, the correct answer is “Option 4”.

Pattern followed here is,

Similarly,

Hence, the correct answer is “Option 1”.

Pattern followed here is,

Similarly,

Hence, the correct answer is “Option 4”.

BK515 : EO915 →

AR318 : DV718 →

Similarly,

? : MS710 →  

 

Hence, the correct answer is "Option 1".

For, DFG43 : EDB86

 

For, TFK46 : IDR92

Similarly,

LPJ29 : ?

Hence, the correct answer is 'Option 3'.

Dictionary order of given words:

5. Price
6. Prick
7. Pride 
8. Priest
9. Prig

Correct order is : 51243

Hence, the correct answer is “Option 4”.

The logic followed here is:

Logic: Second Number = First Number + 461

For the second pair 826 : 1287

⇒ 826 + 461 = 1287

For the third pair 891 : 1352

⇒ 891 + 461 = 1352

Applying the same logic to the first pair

965 : ?

⇒ 965 + 461 = 1426

Hence, the correct answer is 'Option 2'.

The logic followed here is:

Logic: First Number = (Second Number + 3) × 3

For the first pair 2586 : 859

⇒ (859 + 3) × 3

⇒ 862 × 3 = 2586.

For the second pair 2304 : 765

⇒ (765 + 3) × 3

⇒ 768 × 3 = 2304.

Applying the same logic to the third pair

? : 660

⇒ (660 + 3) × 3

⇒ 663 × 3 = 1989.

Hence, the correct answer is "Option 3".

'EDGE' is coded as 'FFJI'

RAKI' is coded as 'SCNM'

Similarly,

'VISE' be coded as

Hence, the correct answer is “Option 3”.

BINDI is coded as DLSAE →

CUBED is coded as EXGBZ →

Similarly,

let's find the code for OFTEN:

Hence, the correct answer is “Option 1”.

The correct answer is 3.

Key Points

• National Emergency (Article 352): This is proclaimed by the President of India when the security of the country or any part thereof is threatened by war, external aggression, or armed rebellion. It requires the written recommendation of the Union Cabinet and must be approved by Parliament within one month by a special majority.
• State Emergency or President’s Rule (Article 356): This is imposed when the President, on receipt of a report from the Governor or otherwise, is satisfied that the state government cannot be carried on in accordance with the Constitution. It is also known as Constitutional Emergency and must be approved by Parliament within two months by a simple majority.
• Financial Emergency (Article 360): The President can declare this if the financial stability or credit of India is threatened. While this provision exists to protect the national economy, it has never been invoked in the history of independent India, not even during the economic crisis of 1991.

 Additional Information

• Part XVIII of the Constitution:
• This part contains Articles 352 to 360, which outline the emergency provisions designed to safeguard the sovereignty, unity, and integrity of the nation.
• The 44^th Amendment Act (1978) introduced significant safeguards, such as replacing the term 'internal disturbance' with 'armed rebellion' for National Emergencies.
• During a National Emergency, the Fundamental Rights under Article 19 are automatically suspended, and the President can suspend the right to move any court for the enforcement of other rights, except Articles 20 and 21.
• Under Article 356, the President assumes the functions of the State Government, and the powers of the State Legislature are exercised by or under the authority of Parliament.
• The 38^th Amendment Act (1975) made the declaration of emergency non-justiciable, but this was subsequently reversed by the 44^th Amendment Act, allowing for judicial review.

The correct answer is One-third of its members retire every two years.

Key Points

• The Rajya Sabha is a permanent body according to the Constitution of India and is not subject to dissolution by the President. Hence, statement 1 is incorrect.
• There is no constitutional provision that grants the Prime Minister the authority to dissolve the Council of States. Hence, statement 2 is incorrect.
• To ensure legislative continuity as a Continuing Chamber, the law mandates that one-third of the total members of the house shall retire every second year. Hence, statement 3 is correct.
• While the Lok Sabha is dissolved every five years, the Rajya Sabha remains in existence, although its individual members serve a term of six years. Hence, statement 4 is incorrect.

 Additional Information

• Constitutional Basis:
• Article 83(1) explicitly states that the Council of States shall not be subject to dissolution, but nearly as may be, one-third of the members shall retire as soon as may be on the expiration of every second year.
• The Representation of the People Act, 1951 further details the term of office for members of the Rajya Sabha as six years.
• Leadership and Composition:
• Vice-President of India is the Ex-officio Chairman of the Rajya Sabha, while a Deputy Chairman is elected from among its members.
• The maximum strength of the house is 250, of which 12 members are nominated by the President for their contributions to Art, Literature, Science, and Social Service.
• The remaining members are elected by the Elected Members of the Legislative Assemblies of the States and Union Territories through Proportional Representation.

The correct answer is A fast-paced, vigorous dance performed by men and women in a circle.

Key Points

• Nati is the most iconic folk dance of Himachal Pradesh, widely performed in districts such as Kullu, Shimla, Sirmaur, Chamba, and Kinnaur.
• The dance is defined by its circular formation where dancers link hands or shoulders to move in a synchronized rhythm, symbolizing community bonding and collective joy.
• The performance is characterized by its tempo transition; it typically begins with slow, graceful steps (often called Dheeli Nati) and gradually builds into a fast-paced, vigorous finale.
• It is an inclusive folk dance performed by both men and women together, typically during the International Kullu Dussehra, local Melas (fairs), and marriage ceremonies.
• Participants wear traditional Pahari attire, including the famous Himachali Topi (cap), Gaddi dresses, and Ghaghra-Choli, often decorated with vibrant local embroidery.

 Additional Information

• Guinness World Record:
• In January 2016, the Kullu Nati was officially recognized by the Guinness Book of World Records as the largest folk dance in the world, featuring 9,892 participants performing simultaneously.
• Musical Elements:
• The dance is powered by live traditional music using wind and percussion instruments like the Dhol, Nagara, Shehnai, Karnal, and the copper-made Ransingha.
• Comparison with Other Forms:
• Unlike Classical Dances (such as Kathak or Sattriya), which are often solo and highly codified, Nati is a Folk Dance emphasizing social participation.
• It is distinct from Martial Dances like the Chholiya of Uttarakhand or Paika of Odisha, which specifically utilize swords and shields for combat-style choreography.
• Regional variations include Sirmauri Nati, Kinnauri Nati, and Mahasuvi Nati, each possessing unique rhythmic beats and local dialects in the accompanying songs.

The correct answer is Mekhela Chador (a traditional Assamese dress) with bright colors and jewelry.

Key Points

• The Bihu dance is the most popular folk dance of the Indian state of Assam, performed to celebrate the arrival of the spring season and the Assamese New Year.
• Female dancers traditionally wear the Mekhela Chador, a two-piece attire unique to the region, which is draped in a specific style to allow for the rhythmic and energetic movements of the dance.
• The Mekhela is a cylindrical cloth that is folded into pleats and tucked into the waist, while the Chador is a long fabric draped over the shoulder.
• The most authentic version of this attire is made from Muga Silk, which is globally renowned for its natural golden sheen and high durability.
• The outfit is characterized by its vibrant Assamese motifs, often featuring floral designs and traditional borders in contrasting colors like red and gold.
• Traditional accessories are essential to the performance, including Assamese jewelry such as Gaam-Kharu (broad bracelets), Jonbir (crescent-shaped necklace), and the Kopou Phul (foxtail orchid) placed in the hair.

 Additional Information

• Silk Varieties of Assam:
• Muga Silk: Produced by the silkworm Antheraea assamensis, it has a Geographical Indication (GI) tag and is exclusive to Assam.
• Pat Silk: A white or off-white mulberry silk used for making formal and festive Mekhela Chadors.
• Eri Silk: Known as the 'silk of peace', it is processed without killing the pupae and provides warmth.
• Musical Elements:
• The dance is accompanied by the Bihu Dhol (drum), the Pepa (an instrument made from Buffalo Horn), and the Gogona (a bamboo jaw harp).
• Performers also use Tala (cymbals) and Banh-hi (bamboo flute) to create the distinctive upbeat rhythm.
• Male Attire:
• Male dancers wear a Dhoti and Gamocha (traditional handwoven cloth with red patterns) around the head and waist.

The correct answer is Ganga.

 

Key Points

• The Ganges-Brahmaputra Delta, also known as the Sunderbans Delta, the Ganges Delta, or the Bengal Delta, is the largest river delta in the world, situated in the Bengal region of South Asia.
• It is primarily formed by the confluence of the Ganga and Brahmaputra rivers, along with the Meghna river system, which collectively discharge vast amounts of sediment into the Bay of Bengal.
• The delta covers an expansive area of approximately 105,000 square kilometers (41,000 square miles), stretching across most of Bangladesh and the state of West Bengal in India.
• Geographically, it is classified as an arcuate delta (fan-shaped) and is characterized by a complex network of distributaries, swamps, and islands formed by the heavy alluvial deposits carried from the Himalayas.
• The region is home to the Sundarbans, which is the world’s largest mangrove forest and a designated UNESCO World Heritage Site, providing a critical habitat for the Royal Bengal Tiger.
• The delta is one of the most fertile regions on the planet, often referred to as the Green Delta, supporting the livelihoods of over 100 million people through intensive agriculture and fishing.

 Additional Information

• Godavari:
• Known as the Dakshin Ganga or Vriddha Ganga, it is the longest river in Peninsular India, originating from Trimbakeshwar in Maharashtra.
• While it forms a significant delta on the eastern coast in Andhra Pradesh, it is much smaller compared to the Ganges-Brahmaputra system.
• Krishna:
• The Krishna River originates near Mahabaleshwar in the Western Ghats and flows through Maharashtra, Karnataka, Telangana, and Andhra Pradesh.
• It forms a large delta at Hamsaladeevi before joining the Bay of Bengal, but it is localized to the Indian peninsula.
• Yamuna:
• The Yamuna is the longest tributary of the Ganga, originating from the Yamunotri Glacier in the Uttarkashi district.
• It merges with the Ganga at the Triveni Sangam in Prayagraj and does not independently reach the sea to form a delta.

The correct answer is 1905.

Key Points

• Die Brücke (The Bridge) was a major group of German Expressionist artists formed on June 7, 1905, in the city of Dresden.
• The group was established by four architecture students at the Dresden Technical University: Ernst Ludwig Kirchner, Fritz Bleyl, Erich Heckel, and Karl Schmidt-Rottluff.
• The name was inspired by a passage from Friedrich Nietzsche’s 'Thus Spoke Zarathustra', symbolizing the artists' desire to serve as a bridge between the art of the past and the modern avant-garde.
• In 1906, the group published a manifesto carved in wood, which declared their intent to achieve freedom of life and movement against established older forces.
• The artists are renowned for their bold, non-naturalistic colors and jagged, simplified forms that sought to convey powerful psychological and emotional states.

 Additional Information

• Development and Membership:
• Other significant artists joined the group later, including Emil Nolde and Max Pechstein in 1906, and Otto Mueller in 1910.
• The group shared a communal studio and developed a uniform collective style, heavily influenced by Primitivism and the Post-Impressionism of Vincent van Gogh and Paul Gauguin.
• Relocation and Dissolution:
• In 1911, the members moved to Berlin, where their work began to reflect the alienation and frantic energy of the modern metropolis.
• The group formally dissolved in 1913 following internal disagreements, particularly over Kirchner’s publication of the Chronik der Brücke, which other members felt exaggerated his personal role.
• Artistic Legacy:
• Die Brücke is credited with reviving the woodcut as a vital artistic medium, using its raw, coarse qualities to emphasize Expressionist themes.
• Their work laid the foundation for 20^th-century modernism in Germany, preceding and influencing the Der Blaue Reiter movement.

The correct answer is Indonesia.

Key Points

• Great Nicobar Island is the southernmost and largest of the Nicobar Islands in India, situated at the southern end of the Bay of Bengal.
• The island is separated from the Indonesian island of Sumatra by the Six Degree Channel, which is a major international shipping lane.
• The geographical distance between Indira Point (the southernmost tip of Great Nicobar) and Rondo Island of Indonesia is approximately 145 to 150 kilometers (90 miles).
• While Myanmar is the closest neighbor to the Andaman group of islands (specifically near the Coco Channel), it is significantly further from the Nicobar group compared to Sumatra.
• Sri Lanka is located to the west of the islands and Bangladesh to the north, both situated over 1,000 kilometers away from the Great Nicobar coast.

 Additional Information

• Indira Point:
• Located on Great Nicobar, it is the southernmost point of the Indian Union territory, situated at 6°45'N latitude.
• It was previously known as Pygmalion Point and Parsons Point before being renamed in honor of Indira Gandhi.
• Great Nicobar Biosphere Reserve:
• The island is home to a UNESCO World Biosphere Reserve, protecting unique species like the Nicobar Megapode and the Giant Robber Crab.
• It encompasses the Galathea National Park and the Campbell Bay National Park.
• Six Degree Channel:
• This channel represents the maritime boundary between India and Indonesia.
• It is a vital strategic corridor connecting the Andaman Sea to the Indian Ocean and leads toward the Strait of Malacca.

The correct answer is Kuyili.

Key Points

• Kuyili was a valiant 18^th-century warrior and the commander-in-chief of the female wing of Queen Velu Nachiyar’s army, known as the Udaiyaal.
• She is historically celebrated as the first woman martyr and the first recorded suicide bomber in the Indian struggle against colonial rule.
• In 1780, during a decisive battle to reclaim the kingdom of Sivaganga from the British East India Company and the Nawab of Arcot, she executed a strategic suicide mission.
• Kuyili doused herself in ghee and oil, set herself on fire, and walked into the ammunition dump of the British located within the Kottai Mariamman Temple.
• The resulting explosion completely destroyed the British armory, providing the tactical advantage needed for Velu Nachiyar to defeat the forces and regain her throne.

 Additional Information

• Queen Velu Nachiyar:
• Known as Veeramangai (Brave Woman), she was the Queen of Sivaganga and the first Indian queen to wage a successful war against the British East India Company.
• Jhalkari Bai:
• A prominent warrior in Rani Lakshmibai’s army during the Revolt of 1857. She was a master of disguise who frequently posed as the Queen to facilitate the Queen’s escape from Jhansi Fort.
• Lakshmi Sahgal:
• A revolutionary officer of the Indian National Army (INA) and the Minister of Women’s Affairs in the Azad Hind government. She led the all-female Rani of Jhansi Regiment.
• Matangini Hazra:
• An Indian revolutionary affectionately known as Gandhi Buri. She was shot dead by British police in 1942 while leading a procession during the Quit India Movement in Tamluk, Bengal.

The correct answer is Similar temperature.

 

Key Points

• The Sun is classified as a G-type main-sequence star (G2V), characterized by an effective surface temperature of approximately 5,778 K. If an exoplanet orbits a star of the same spectral class, the Stellar Luminosity (total energy output) remains nearly identical to that of our Sun.
• Surface temperature is primarily governed by Stellar Flux, which follows the Inverse Square Law. This law states that the intensity of radiation is inversely proportional to the square of the distance from the source.
• For an exoplanet to have a Similar temperature to Earth, it must be located within the Circumstellar Habitable Zone (CHZ). In a solar analog system, this zone is situated at an Orbital Radius of roughly 1 Astronomical Unit (AU).
• At 1 AU from a Sun-like star, a planet receives an Insolation (solar constant) of about 1,361 Watts per square meter. If the exoplanet possesses an Atmospheric Composition and Bond Albedo (reflectivity) comparable to Earth, its Radiative Equilibrium will result in similar thermal conditions.

Additional Information

• Factors Affecting Planetary Temperature:
• Greenhouse Effect: Even with similar stellar flux, a dense atmosphere rich in Carbon Dioxide or Methane can lead to extreme heating, as seen on Venus.
• Albedo: A planet with high ice cover reflects more Shortwave Radiation, potentially leading to a Cooler surface despite being in the habitable zone.
• Stellar Classification:
• M-Dwarfs (Red Dwarfs): These are much cooler than the Sun; planets must orbit much closer to achieve Earth-like temperatures, often becoming Tidally Locked.
• O or B Type Stars: These are massive and hot, pushing the habitable zone much further out into the star system.
• Stefan-Boltzmann Law: This principle explains that the power radiated per unit area of a Black Body is proportional to the fourth power of its absolute temperature, a critical factor in calculating Planetary Equilibrium Temperature.

The correct answer is Laxmi Narayan Temple, Orchha.

 

Key Points

• The Laxmi Narayan Temple, situated in Orchha, Madhya Pradesh, was constructed in 1622 by Raja Vir Singh Deo of the Bundela Dynasty.
• The temple is distinguished by its eclectic architectural style, which represents a rare fusion of Hindu temple design and Islamic (Mughal) elements.
• Architecturally, the building is unique for its triangular ground plan and fortress-like exterior, featuring octagonal bastions and cannon slots, which were atypical for traditional Hindu shrines.
• The Islamic influence is prominently seen in the use of pointed arches, domed rooftops, and symmetrical geometric patterns on the ceilings and walls.
• Internally, the temple is renowned for its Bundela school of painting; these frescoes depict diverse subjects ranging from the Ramayana and Lord Krishna to the Indian Rebellion of 1857.
• This synthesis reflects the Indo-Islamic cultural integration prevalent in the Bundelkhand region during the 17^th century, where local rulers incorporated Mughal aesthetics into religious structures.

 Additional Information

• Qutb Minar:
• Located in Delhi, this UNESCO World Heritage Site is a 73-meter minaret commissioned by Qutb-ud-din Aibak.
• While it is a primary example of Indo-Islamic architecture, it is a tower and not a Hindu temple.
• Sun Temple, Konark:
• A 13^th-century temple in Odisha built by King Narasimhadeva I of the Eastern Ganga Dynasty.
• It follows the Kalinga architectural style, designed as a colossal chariot for the Sun God (Surya) with 24 stone wheels.
• Sanchi Stupa:
• Commissioned by Emperor Ashoka in the 3^rd century BCE, this site in Madhya Pradesh is a landmark of Buddhist architecture.
• The structure is characterized by its hemispherical dome and intricate Toranas (gateways) carved with Jataka tales.

The correct answer is Gravitational pull of the Sun and Moon.

Key Points

• The Earth is not a perfect sphere but an oblate spheroid, characterized by a distinct equatorial bulge caused by its rotation.
• Axial precession, also known as the precession of the equinoxes, is primarily caused by the gravitational forces of the Moon and the Sun acting upon this equatorial bulge.
• Because the Earth's rotational axis is tilted at an angle of approximately 23.5 degrees relative to the ecliptic plane (the plane of Earth's orbit), the gravitational pull of these celestial bodies creates a torque.
• This torque attempts to pull the Earth's axis into a perpendicular orientation relative to the ecliptic, but due to the Earth's angular momentum (rotation), the axis instead precesses like a spinning top.
• The Earth's axis completes one full circle of precession approximately every 25,800 years, causing the position of the North Star to change over long geological periods; for instance, Vega was the North Star around 12,000 BCE and will be again in roughly 12,000 years.

 Additional Information

• Milankovitch Cycles: Precession is a critical component of these cycles, which describe the collective effects of changes in the Earth's movements on its climate over thousands of years.
• Obliquity: Refers to the change in the angle of Earth's axial tilt, which varies between 22.1 and 24.5 degrees over a 41,000-year cycle.
• Eccentricity: Describes the variation in the shape of Earth's orbit around the Sun, changing from nearly circular to slightly elliptical over 100,000-year intervals.
• Solar Winds: These are streams of charged particles (plasma) ejected from the Sun's upper atmosphere. While they cause geomagnetic storms and auroras, they have no significant impact on the mechanical orientation of Earth's axis.
• Nutation: This is a small, periodic 'wobbling' superimposed on the larger precessional motion, largely caused by the specific tidal forces and the 18.6-year cycle of the Moon's nodes.

The correct answer is Argentina.

Key Points

• The inaugural FIBA World Championship (now known as the FIBA Basketball World Cup) was held in 1950 following a decision by the FIBA Congress during the 1948 London Olympics.
• Argentina was selected as the host nation for the first edition, with all matches taking place at the Luna Park Stadium in Buenos Aires.
• A total of ten nations participated in the tournament, including teams from South America, North America, and Europe.
• The championship was decided through a final round-robin stage rather than a single knockout game; however, the match between Argentina and the United States on November 3, 1950, served as the de facto final.
• Argentina emerged victorious by defeating the United States with a score of 64−50, securing the first-ever gold medal in the tournament's history.
• Oscar Furlong, a key player for the Argentine team, was the leading scorer of the final and was subsequently named the tournament's Most Valuable Player (MVP).

 Additional Information

• United States:
• In the 1950 tournament, the U.S. was represented by the Denver Chevrolets, an Amateur Athletic Union (AAU) team.
• They finished the competition as the silver medalists after their loss to the host nation.
• Brazil:
• Brazil finished in fourth place during the inaugural 1950 event.
• They later became a dominant force in international basketball, winning consecutive world titles in 1959 and 1963.
• Chile:
• Chile performed exceptionally well in the first edition, securing the bronze medal (third place) after defeating Brazil in the final round.
• Tournament Evolution:
• The competition was renamed the FIBA Basketball World Cup starting with the 2014 edition held in Spain.
• The Naismith Trophy, awarded to the champion, is named after James Naismith, the inventor of basketball.

The correct answer is Federation Internationale des Echecs.

Key Points

• FIDE is the standard acronym for the Fédération Internationale des Échecs, which translates from French to English as the International Chess Federation or World Chess Federation.
• It serves as the international governing body for the sport of chess, regulating all international chess competitions and overseen by the International Olympic Committee (IOC).
• The organization was officially founded on July 20, 1924, in Paris, France, during the first unofficial Chess Olympiad.
• Its primary role includes defining the Laws of Chess, calculating Elo ratings for players, and organizing high-level tournaments such as the World Chess Championship.
• The official motto of FIDE is 'Gens una sumus', which is a Latin phrase meaning 'We are one people', emphasizing global unity through the game.

 Additional Information

• Organizational Structure and Titles:
• FIDE is responsible for awarding prestigious international titles based on performance, including Grandmaster (GM), International Master (IM), FIDE Master (FM), and Candidate Master (CM).
• The administrative headquarters of the federation are currently located in Lausanne, Switzerland, known as the Olympic Capital.
• Major Tournaments:
• It conducts the biennial Chess Olympiad, where teams representing various nations compete against each other.
• It manages the Candidates Tournament, a critical event that determines the challenger who will play against the reigning World Chess Champion.
• The organization currently comprises over 190 national chess federations as member affiliates.

The correct answer is Suberin.

Key Points

• Cork cells, also known as phellem, constitute the outermost protective layer of the bark in woody plants, replacing the epidermis during secondary growth.
• These cells are characterized by the heavy deposition of a complex, waxy biopolymer called Suberin within their cell walls.
• Suberin is highly hydrophobic (water-repellent), which acts as a chemical barrier preventing the movement of water and dissolved solutes across the tissue.
• The accumulation of this substance makes the cell walls impermeable to gases and water, effectively sealing off the plant's internal tissues from environmental stress and desiccation.
• Due to this impermeability, mature cork cells become dead as they lose the ability to exchange essential nutrients and gases with their surroundings.

 Additional Information

• Cutin:
• It is a polyester of hydroxy fatty acids found primarily in the plant cuticle covering the epidermis of leaves and young stems.
• Its primary role is to restrict transpiration and provide protection against ultraviolet radiation and pathogens.
• Lignin:
• A complex organic polymer that provides mechanical strength and structural rigidity to the secondary cell walls of vascular plants.
• It is a vital component of Xylem vessels, allowing plants to grow tall and transport water under tension without the vessels collapsing.
• Cellulose:
• The most abundant organic polymer on Earth, consisting of linear chains of β-glucose units.
• It provides tensile strength to the primary cell wall, maintaining the structural integrity and shape of plant cells.

The correct answer is Two.

Key Points

• The mitochondrion is a specialized eukaryotic organelle defined by its complex structure consisting of two distinct phospholipid bilayer membranes.
• The outer membrane is a smooth, continuous boundary that contains large numbers of integral proteins called porins, which allow for the relatively free diffusion of small molecules and ions.
• The inner membrane is highly selective and much less permeable than the outer layer; it is extensively folded into finger-like projections called cristae to maximize the surface area available for metabolic reactions.
• These two membranes create two separate aqueous compartments: the intermembrane space (the narrow region between the membranes) and the mitochondrial matrix (the innermost space enclosed by the inner membrane).
• The inner membrane is the functional site for the Electron Transport Chain (ETC) and contains the enzyme ATP synthase, which is responsible for the production of adenosine triphosphate (ATP) through oxidative phosphorylation.

 Additional Information

• Endosymbiotic Origin and Evolutionary Evidence:
• The double-membrane arrangement is a primary piece of evidence for the Endosymbiotic Theory, which suggests that mitochondria evolved from an ancient aerobic prokaryote (likely an alpha-proteobacterium) that was engulfed by a primitive host cell.
• Similar to prokaryotic cells, the mitochondrial matrix contains its own circular DNA (mtDNA) and 70S ribosomes, enabling the organelle to synthesize some of its own proteins and replicate via binary fission.
• Organelle Membrane Classification:
• Double-Membrane Bound: This group includes the nucleus, mitochondria, and chloroplasts (found in plants and algae), all of which typically contain their own genetic information.
• Single-Membrane Bound: Most other organelles in the endomembrane system, such as the endoplasmic reticulum, Golgi apparatus, lysosomes, and vacuoles, are enclosed by only one lipid bilayer.

The correct answer is Madhya Pradesh.

Key Points

• As per the India State of Forest Report (ISFR) 2021, Madhya Pradesh continues to hold the largest forest cover in India by area.
• The total forest area in Madhya Pradesh is 77,493 square kilometers, which represents approximately 25.14% of the state's total geographical territory.
• This assessment is conducted biennially by the Forest Survey of India (FSI), an organization under the Ministry of Environment, Forest and Climate Change, using LISS-III satellite data.
• The state’s vast forest resources are categorized into Reserved, Protected, and Unclassified forests, housing significant Tiger Reserves such as Kanha, Panna, and Pench.

 Additional Information

• Arunachal Pradesh:
• Ranks second in India in terms of forest area with 66,431 square kilometers.
• In terms of percentage of its own geographical area, it boasts a high density of 79.33%.
• Chhattisgarh:
• Holds the third-largest forest cover by area in the country, spanning 55,717 square kilometers.
• It is renowned for its high production of Tendu leaves and dense Sal and Teak forests.
• Mizoram:
• While smaller in total area, it leads the country in forest cover by percentage, with 84.53% of its land under forest.
• Forest Density Classification:
• Very Dense Forest (VDF): All lands with tree canopy density of 70% and above.
• Moderately Dense Forest (MDF): All lands with tree canopy density between 40% and 70%.
• Open Forest (OF): All lands with tree canopy density between 10% and 40%.

The correct answer is 2.

Key Points

• The Right of Children to Free and Compulsory Education (Amendment) Act, 2019, was enacted to modify the existing provisions regarding the No-Detention Policy under the original RTE Act, 2009.
• According to the amended Section 16, there shall be a regular examination in Class 5 and Class 8 at the end of every academic year to assess the learning outcomes of the students.
• The notification specifies that if a child fails in the regular examination, they must be provided with additional coaching by the school to address their learning gaps.
• The law explicitly states that the student will be given an opportunity for a re-examination within a period of two months from the date of the declaration of the results of the regular examination.
• The amendment grants the appropriate government (state or union territory) the authority to allow schools to detain a child in Class 5 or Class 8 if they fail the re-examination, although they cannot be expelled until they complete elementary education.

 Additional Information

• No-Detention Policy (NDP)
• This policy was a hallmark of the RTE Act, 2009, which mandated that no child could be held back or expelled from school until the completion of elementary education (Class 8).
• The primary objective was to reduce the dropout rate and eliminate the psychological fear of failure and examinations among children aged 6 to 14 years.
• Critics and various committees, including the TSR Subramanian Committee and the Vasudev Devnani Committee, observed that the lack of examinations led to a decline in learning standards and accountability.
• Elementary Education Scope
• Under the Indian Constitution and the RTE Act, elementary education refers to the period from Class 1 to Class 8.
• The 86^th Constitutional Amendment Act, 2002, inserted Article 21-A, making education a Fundamental Right for children.

The correct answer is To collect rent from peasants and pay revenue to the Company.

Key Points

• The Permanent Settlement, also known as the Bengal Settlement or Sthayi Bandobast, was introduced by Governor-General Lord Cornwallis in 1793 through the Permanent Settlement Act.
• Under this system, zamindars were recognized as the legal owners of the land, effectively transforming them from mere tax collectors into a class of landlords.
• The main responsibility assigned to the zamindar was to serve as an intermediary between the East India Company and the peasants. They were required to collect rent from the cultivators and remit a specified portion to the Company Treasury.
• The revenue to be paid by the zamindars to the British Government was fixed permanently in perpetuity, meaning it could not be increased in the future, regardless of changes in agricultural productivity or prices.
• Failure to pay the stipulated revenue by a specific date resulted in the zamindar's land being confiscated and auctioned, a regulation famously known as the Sunset Law.

 Additional Information

• Revenue Division:
• The total revenue collected was divided into 11 parts. The East India Company received 10/11^th of the collection, while the zamindars were allowed to keep 1/11^th as their remuneration.
• Geographical Coverage:
• The system was primarily implemented in Bengal, Bihar, and Odisha, and was later extended to parts of the Madras Presidency and the Varanasi district.
• Economic Impact:
• While it provided financial stability for the British administration, it led to the severe exploitation of the ryots (peasants), who became tenants-at-will and lost their customary rights to the land.
• Other Land Revenue Systems:
• The Ryotwari System was introduced by Thomas Munro in the Madras and Bombay Presidencies, where the government dealt directly with the cultivators.
• The Mahalwari System was introduced in North-Western India, where the revenue was settled with the village community or Mahal.

The correct answer is Vernacular.

Key Points

• The term Vernacular is derived from the Latin word vernaculus, meaning 'native' or 'domestic'. During the British colonial period in India, it was used to refer to any local language or dialect spoken by the common people, as distinguished from the standard or literary language of the colonizers.
• The British utilized this terminology to create a clear division between English, which served as the official language of administration, judiciary, and higher education, and the numerous indigenous languages like Hindi, Bengali, Marathi, and Tamil.
• One of the most controversial uses of this term was in the Vernacular Press Act of 1878. Enacted by Viceroy Lord Lytton, this legislation aimed to suppress the freedom of the Indian-language press to prevent them from criticizing British policies, while English-language publications remained largely exempt.
• In the 19^th century, educational debates between the Anglicists and Orientalists revolved around whether the medium of instruction should be English or the vernacular. The Macaulay Minute of 1835 eventually prioritized English to create a loyalist class of intermediaries.

 Additional Information

• Provincial:
• Refers to matters relating to a Province, which was an administrative unit in British India.
• Key historical milestones include the Government of India Act 1919 (Diarchy) and the Government of India Act 1935, which introduced Provincial Autonomy.
• Federal:
• Relates to a system of government where power is shared between a central authority and various constituent units.
• The Government of India Act 1935 first proposed a Federal structure for India, consisting of British Provinces and Princely States.
• Linguist:
• A person who specializes in the study of languages or is proficient in multiple tongues.
• Famous figures like Sir William Jones, who founded the Asiatic Society of Bengal in 1784, were noted linguists who studied the historical connections between Sanskrit and European languages.

The correct answer is Only I.

Key Points

• The Democracy Index is an annual index that provides a snapshot of the state of democracy worldwide. It is compiled and published by the Economist Intelligence Unit (EIU), which is the research and analysis division of The Economist Group based in the United Kingdom. Hence, statement I is correct.
• The Corruption Perceptions Index (CPI) is the flagship publication of Transparency International. Launched in 1995, it has become the leading global indicator of public sector corruption, ranking 180 countries and territories by their perceived levels of public sector corruption. Hence, statement II is incorrect.
• The Democracy Index bases its scores on sixty indicators grouped into five categories: electoral process and pluralism, civil liberties, functioning of government, political participation, and political culture.
• Transparency International is an international non-governmental organization founded in 1993 and headquartered in Berlin, Germany, with the primary goal of combating global corruption and preventing criminal activities arising from it.

 Additional Information

• Transparency International also publishes other significant reports including:
• Global Corruption Barometer: The only worldwide public opinion survey on views and experiences of corruption.
• Bribe Payers Index: A report that ranks leading exporting countries by the perceived likelihood of their firms to bribe public officials abroad.
• Economist Intelligence Unit (EIU):
• Established in 1946, it provides forecasting and advisory services through research and analysis, such as monthly country reports and five-year country economic forecasts.
• It is also well-known for publishing the Global Liveability Index, which assesses which global cities provide the best or worst living conditions.

Shortcut Trick

Apply the BODMAS rule directly to solve the expression.

Solve Bracket first: (45 + 19) = 64

Solve Multiplication next: 26 x 2 = 52

Perform Addition and Subtraction: 64 − 37 + 52 − 13 = 66

∴ The correct answer is 66.

Alternate Method

Given:

(45 + 19) − 37 + 26 x 2 − 13

Formula Used:

The order of operations is BODMAS (Brackets, Orders, Division, Multiplication, Addition, Subtraction).

Calculations:

⇒ 64 − 37 + 26 x 2 − 13 (Solving Bracket: 45 + 19)

⇒ 64 − 37 + 52 − 13 (Solving Multiplication: 26 x 2)

⇒ (64 + 52) − (37 + 13) (Grouping positive and negative terms)

⇒ 116 − 50

⇒ 66

∴ The correct answer is 66.

Additional Information

BODMAS Rule

It defines the sequence to solve arithmetic operations: Bracket (), Of, Division (÷), Multiplication (x), Addition (+), and Subtraction (−).

VBODMAS Rule

This includes a Vinculum (bar bracket) which is solved even before standard brackets in an expression.

Sign Convention

Always group positive terms together and negative terms together to simplify the final addition and subtraction steps.

Shortcut Trick

Solve the Of and Division operations first: 18 × 1 = 18 and 33 ÷ 3 = 11.

Substitute these values back: 94 − 38 + 28 + 11 + 21 − 18.

Sum the positive terms: 94 + 28 + 11 + 21 = 154.

Sum the negative terms: 38 + 18 = 56.

Calculate the final difference: 154 − 56 = 98.

∴ The correct answer is 98.

Alternate Method

Given:

94 − 38 + 28 + 33 ÷ 3 + 21 − (18 of 1)

Formula Used:

According to the BODMAS rule, operations are performed in the order: Brackets (B), Of (O), Division (D), Multiplication (M), Addition (A), and Subtraction (S).

Calculations:

⇒ 94 − 38 + 28 + 33 ÷ 3 + 21 − 18

⇒ 94 − 38 + 28 + 11 + 21 − 18

⇒ (94 + 28 + 11 + 21) − (38 + 18)

⇒ 154 − 56

⇒ 98

∴ The correct answer is 98.

Additional Information

BODMAS Rule

It defines the precedence of operators. Brackets are solved first, followed by 'Of' (multiplication), then Division, Multiplication, Addition, and finally Subtraction.

The 'Of' Operator

The term Of is treated as a high-priority multiplication that must be evaluated before the standard Division or Multiplication operators.

Grouping for Addition/Subtraction

To avoid calculation errors, always group all positive numbers together and all negative numbers together before performing the final subtraction.

Shortcut Trick

For proper fractions where the difference between the numerator and denominator is the same, the fraction with the largest numerator is the largest.

Check Gaps: (6 − 5) = 1, (4 − 3) = 1, (3 − 2) = 1, (11 − 10) = 1, (5 − 4) = 1.

Since all gaps are equal to 1, compare numerators: 10 > 5 > 4 > 3 > 2.

Therefore, 10/11 > 5/6.

∴ The correct answer is 10/11.

Alternate Method

Given: Base fraction = 5/6

Formula Used: Decimal Conversion Method

Convert each fraction into its decimal equivalent:

⇒ 5/6 = 5 ÷ 6 ≈ 0.833

⇒ 3/4 = 3 ÷ 4 = 0.75

⇒ 2/3 = 2 ÷ 3 ≈ 0.666

⇒ 10/11 = 10 ÷ 11 ≈ 0.909

⇒ 4/5 = 4 ÷ 5 = 0.8

Comparing the values: 0.909 > 0.833

∴ The correct answer is 10/11.

Additional Information

Cross-Multiplication Method

To compare a/b and c/d, compute (a × d) and (b × c). If a × d > b × c, then a/b > c/d.

Common Denominator Method

Convert all fractions to have the same LCM of denominators. The fraction with the largest numerator is then the greatest.

Fractions with Equal Numerators

If the numerators are the same, the fraction with the smaller denominator is the larger value (e.g., 3/5 > 3/7).

Shortcut Trick

Identify perfect roots: ³√512 = 8 and √225 = 15.

Adjust decimal places: ³√0.512 = 0.8 and √2.25 = 1.5.

Calculate product: 0.8 × 1.5 = 1.2.

∴ The correct answer is 1.2.

Alternate Method

Given: ³√0.512 × √2.25

Method: Fractional Simplification

⇒ ³√(512 ÷ 1000) × √(225 ÷ 100)

⇒ (8 ÷ 10) × (15 ÷ 10)

⇒ 0.8 × 1.5

⇒ 1.2

∴ The correct answer is 1.2.

Additional Information

Cube Root Decimal Rule

When calculating the cube root of a decimal, if the original number has 3n decimal places, the result will have n decimal places.

Square Root Decimal Rule

When calculating the square root of a decimal, if the original number has 2n decimal places, the result will have n decimal places.

Multiplication of Decimals

The total number of decimal places in the product is the sum of the decimal places in the numbers being multiplied.

Shortcut Trick

For a Rhombus, the relation between side (a), Area (A), and sum of diagonals (S) is: S² = 4(a² + A).

⇒ S² = 4(41² + 720)

⇒ S² = 4(1681 + 720) = 4 × 2401

⇒ S = √(4 × 2401) = 2 × 49 = 98

∴ The correct answer is 98 cm.

Alternate Method

Given: Area of rhombus = 720 cm², Side (a) = 41 cm.

Formula: Area = (d₁ × d₂)/2 | 4a² = d₁² + d₂²

⇒ d₁ × d₂ = 2 × Area = 2 × 720 = 1440

⇒ d₁² + d₂² = 4 × Side² = 4 × 41² = 4 × 1681 = 6724

⇒ (d₁ + d₂)² = (d₁² + d₂²) + 2(d₁ × d₂)

⇒ (d₁ + d₂)² = 6724 + 2(1440) = 6724 + 2880 = 9604

⇒ d₁ + d₂ = √9604

⇒ d₁ + d₂ = 98 cm

∴ The correct answer is 98 cm.

Additional Information

Properties of Rhombus

A rhombus is a quadrilateral with all four sides equal. Its diagonals bisect each other at 90° and also bisect the internal angles.

Perimeter and Area

Perimeter = 4 × side. Area can also be calculated as base × height if the altitude is known.

Diagonal Relation

The relationship between the side and the diagonals is derived from the Pythagoras theorem: Side = √[(d₁/2)² + (d₂/2)²].

Shortcut Trick

In a parallelogram, any two adjacent angles (consecutive angles) are supplementary.

Sum of adjacent angles = 180°

Given angle = 45°

Adjacent angle = 180° − 45° = 135°

∴ The correct answer is 135°.

Alternate Method

Given:

One angle of the parallelogram = 45°

Formula Used:

Sum of interior angles on the same side of a transversal between parallel lines is 180°.

In parallelogram ABCD, AB is parallel to DC and AD is parallel to BC.

Since AD || BC and AB is the transversal:

⇒ ∠A + ∠B = 180° (Adjacent angles property)

⇒ 45° + ∠B = 180°

⇒ ∠B = 180° − 45°

⇒ ∠B = 135°

∴ The correct answer is 135°.

Additional Information

Opposite Angles of a Parallelogram

The opposite angles of a parallelogram are always equal (∠A = ∠C and ∠B = ∠D).

Sum of All Interior Angles

The total sum of all internal angles in any quadrilateral, including a parallelogram, is always 360°.

Diagonals of a Parallelogram

The diagonals of a parallelogram bisect each other, though they are not necessarily equal in length.

Shortcut Trick

Convert decimal and large fractions into simplest fractions: 0.75 = 3/4 and 25/30 = 5/6.

Apply the fraction formula: LCM = LCM of Numerators ÷ HCF of Denominators.

LCM(3, 5) = 15 and HCF(4, 6) = 2.

Result = 15/2.

∴ The correct answer is 15/2.

Alternate Method

Given: First value = 0.75, Second value = 25/30.

Formula Used: LCM of Fractions = LCM(Numerators) ÷ HCF(Denominators)

⇒ First, simplify 0.75: 0.75 = 75/100 = 3/4.

⇒ Simplify 25/30: Divide both numerator and denominator by 5 → 5/6.

⇒ Now, find the LCM of 3/4 and 5/6.

⇒ LCM of Numerators (3, 5) = 15.

⇒ HCF of Denominators (4, 6) = 2.

⇒ Final LCM = 15/2.

∴ The correct answer is 15/2.

Additional Information

HCF of Fractions

To find the Highest Common Factor of fractions, use the formula: HCF = HCF(Numerators) ÷ LCM(Denominators).

Standard Form Requirement

Always convert fractions to their simplest/standard form (where numerator and denominator are co-prime) before applying LCM or HCF formulas.

LCM × HCF Rule

For any two numbers a and b, the product of the numbers is equal to the product of their LCM and HCF: a × b = LCM(a, b) × HCF(a, b).

Shortcut Trick

The ratio of the numbers is 5 : 3.

Sum of ratio units = 5 + 3 = 8 units.

Since the HCF is the common factor for the ratio units,

Sum = Total units × HCF = 8 × 12 = 96.

∴ The correct answer is 96.

Alternate Method

Given:

HCF = 12

LCM = 180

Ratio of numbers = 5 : 3

Formula Used:

Sum of numbers = (a + b) × HCF (where a and b are coprime ratios)

Calculations:

Let the two numbers be 5x and 3x.

⇒ HCF of 5x and 3x is x (as 5 and 3 are coprime).

⇒ x = 12.

⇒ First number = 5 × 12 = 60.

⇒ Second number = 3 × 12 = 36.

⇒ Sum of numbers = 60 + 36 = 96.

Verification:

⇒ LCM(60, 36) = 12 × 5 × 3 = 180 (Matches the given value).

∴ The correct answer is 96.

Additional Information

Fundamental Property of HCF and LCM

For any two positive integers a and b, the product of the numbers is equal to the product of their HCF and LCM: a × b = HCF × LCM.

HCF as a Factor

The Highest Common Factor (HCF) of a set of numbers is always a factor of their Least Common Multiple (LCM).

Coprime Numbers

Two numbers are called coprime if their HCF is 1. If numbers are in the ratio a : b, then a and b must be coprime.

Shortcut Trick

A% of A is equivalent to A² / 100.

Given: A² / 100 = 676

A² = 676 × 100 = 67600

∴ The correct answer is 67600.

Alternate Method

Given:

Percentage value = A%

Base value = A

Result = 676

Formula Used:

Percentage result = (Percentage × Base) ÷ 100

Calculations:

⇒ (A ÷ 100) × A = 676

⇒ (A × A) ÷ 100 = 676

⇒ A² ÷ 100 = 676

⇒ A² = 676 × 100

⇒ A² = 67600

∴ The correct answer is 67600.

Additional Information

Basic Percentage Rule

To find x% of any quantity y, we use the formula (x × y) ÷ 100.

Square of a Number

The square of a number is the result of multiplying the number by itself (A × A = A²).

Perfect Squares

In this problem, 676 is the square of 26, thus 67600 is the square of 260 (A = 260).

Shortcut Trick

Use the unitary method to compare the percentages directly.

Given that 20% corresponds to 80.

1% will correspond to 80 ÷ 20 = 4.

Therefore, 160% will correspond to 160 × 4 = 640.

∴ The correct answer is 640.

Alternate Method

Given:

20% of a number = 80

Formula Used:

Required Value = (Given Value ÷ Given Percentage) × Required Percentage

Calculations:

⇒ Let the number be x.

⇒ 20% of x = 80

⇒ (20 ÷ 100) × x = 80

⇒ x = (80 × 100) ÷ 20

⇒ x = 4 × 100 = 400

⇒ Now, find 160% of 400:

⇒ 160% of 400 = (160 ÷ 100) × 400

⇒ 1.6 × 400 = 640

∴ The correct answer is 640.

Additional Information

Percentage to Fraction Conversion

To convert a percentage to a fraction, divide the value by 100 and simplify. Example: 20% = 20/100 = 1/5.

Percentage Change Formula

Percentage change is calculated as (New Value − Old Value) ÷ Old Value × 100.

Successive Percentage Change

If a number changes by a% then b%, the net effective change is (a + b + (ab ÷ 100))%.

Shortcut Trick

If both Cost Price (CP) and Selling Price (SP) are increased or decreased by the same percentage (k%), the ratio of SP to CP remains constant.

Initial Profit = 30% ⇒ Ratio SP : CP = 130 : 100 = 1.3 : 1

Since both are decreased by 40%, the new ratio remains 1.3 : 1.

New Profit % = (Ratio − 1) × 100 = (1.3 − 1) × 100 = 30%.

∴ The correct answer is 30%.

Alternate Method

Given: Initial Profit Percentage = 30%, Decrease in CP = 40%, Decrease in SP = 40%.

Formula: New Profit % = [(New SP − New CP) / New CP] × 100

⇒ Let original CP = 100

⇒ Original SP = 100 + 30% of 100 = 130

⇒ New CP = 100 − (40/100) × 100 = 60

⇒ New SP = 130 − (40/100) × 130 = 130 − 52 = 78

⇒ New Profit = 78 − 60 = 18

⇒ New Profit % = (18 / 60) × 100 = 3/10 × 100 = 30%

∴ The correct answer is 30%.

Additional Information

Profit and Loss Percentage

Profit % = (Profit/CP) × 100 and Loss % = (Loss/CP) × 100. Both are always calculated on the Cost Price unless specified otherwise.

Constant Ratio Property

When both numerator and denominator of a fraction (SP/CP) are multiplied or divided by the same non-zero constant (or changed by the same %), the value of the ratio remains the same.

Successive Percentage Change

If a value changes by a% and then by b%, the effective change is [a + b + (ab/100)]%.

Shortcut Trick

When the total amount (₹260) is the same, use the quantity ratio.

Ratio of Cost Price (CP) to Selling Price (SP) per article = Inverse of Quantity.

CP : SP = 40 : 30 = 4 : 3

Loss = 4 − 3 = 1 unit

Loss Percentage = (1 / 4) × 100 = 25%

∴ The correct answer is 25% loss.

Alternate Method

Given: Cost Price (CP) of 30 articles = ₹260; Selling Price (SP) of 40 articles = ₹260.

Formula Used: Loss Percentage = [(CP − SP) / CP] × 100

⇒ CP per article = 260 / 30 = ₹26/3

⇒ SP per article = 260 / 40 = ₹26/4

⇒ Loss per article = (26/3) − (26/4)

⇒ Loss per article = (104 − 78) / 12 = 26 / 12 = ₹13/6

⇒ Loss % = [(13/6) / (26/3)] × 100

⇒ Loss % = (13/6 × 3/26) × 100 = (1/2 × 1/2) × 100

⇒ Loss % = 1/4 × 100 = 25%

∴ The correct answer is 25% loss.

Additional Information

Profit and Loss on Quantity

If CP of x articles = SP of y articles, then Profit/Loss % = (x − y) / y × 100. If the result is positive, it is a profit; if negative, it is a loss.

Basic CP and SP Relation

Selling Price (SP) = CP × (100 ± Profit/Loss%) / 100. This formula helps calculate the final value when either CP or percentage is known.

Dishonest Dealer Concept

Gain % = [Error / (True Value − Error)] × 100. This is used when a dealer uses less weight than the actual weight mentioned.

Shortcut Trick

Assume Total Work = LCM of (14, 21, 42) = 42 units.

Efficiency of A = 42 ÷ 14 = 3; B = 42 ÷ 21 = 2; C = 42 ÷ 42 = 1.

Total efficiency of (A + B + C) = 3 + 2 + 1 = 6 units/day.

Time taken together = Total Work ÷ Total Efficiency = 42 ÷ 6 = 7 days.

∴ The correct answer is 7 days.

Alternate Method

Given: Time taken by A = 14 days, B = 21 days, and C = 42 days.

Formula: Total Work = LCM of individual days; Efficiency = Total Work ÷ Days.

⇒ Total Efficiency of A, B, and C working together = 3 + 2 + 1 = 6 units/day.

⇒ Number of days to complete the work together = Total Work ÷ Combined Efficiency

⇒ Time = 42 ÷ 6 = 7 days.

∴ The correct answer is 7 days.

Additional Information

Work and Efficiency Relationship

Efficiency is inversely proportional to the time taken to complete a task. If a person completes work in D days, their 1-day work (efficiency) is 1 ÷ D.

Combined Work Formula

For three people taking x, y, and z days, the combined time T is given by: 1÷T = 1÷x + 1÷y + 1÷z.

Work and Wages

In any partnership or group work, wages are always distributed in the direct ratio of the efficiencies of the workers involved.

Shortcut Trick

Individual capacities: 1 man = 1/75, 1 woman = 1/60, 1 boy = 1/48.

Total daily work = (10 men/75) + (12 women/60) + (8 boys/48)

⇒ 2/15 + 1/5 + 1/6 = (4 + 6 + 5) / 30 = 15/30 = 1/2 of work per day.

Total time taken = 2 days.

∴ The correct answer is 2 days.

Alternate Method

Given:

Time for 5 men = 15 days ⇒ 1 man = 75 days.

Time for 6 women = 10 days ⇒ 1 woman = 60 days.

Time for 4 boys = 12 days ⇒ 1 boy = 48 days.

Formula Used:

Total Work = Efficiency × Time

⇒ Efficiency of 10 men = 10 × 16 = 160 units/day.

⇒ Efficiency of 12 women = 12 × 20 = 240 units/day.

⇒ Efficiency of 8 boys = 8 × 25 = 200 units/day.

⇒ Total Efficiency of group = 160 + 240 + 200 = 600 units/day.

⇒ Time required = Total Work ÷ Total Efficiency = 1200 ÷ 600 = 2 days.

∴ The correct answer is 2 days.

Additional Information

Total Work Equation

Total work remains constant and can be expressed as M₁D₁H₁ = M₂D₂H₂ where M is number of workers, D is days, and H is hours.

Efficiency and Time

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

Combined Work Formula

When multiple groups work together, their individual efficiencies (work done per day) are added to find the total work rate.

Shortcut Trick

In opposite direction, Relative Speed = (Sum of Lengths) ÷ Time

Total distance = 304 + 304 = 608 m

Since speeds are equal (v), Relative Speed = v + v = 2v

2v = 608 ÷ 16 = 38 m/s

v = 38 ÷ 2 = 19 m/s

∴ The correct answer is 19 m/s.

Alternate Method

Given:

Length of each train (L₁ = L₂) = 304 m

Time to cross each other = 16 sec

Direction = Opposite

Speed of each train = v (same speed)

Formula Used:

Speed = Distance ÷ Time

Relative Speed (Opposite) = (L₁ + L₂) ÷ T

Calculations:

⇒ 2v = (304 + 304) ÷ 16

⇒ 2v = 608 ÷ 16

⇒ 2v = 38

⇒ v = 38 ÷ 2

⇒ v = 19 m/s

∴ The correct answer is 19 m/s.

Additional Information

Relative Speed in Opposite Direction

When two objects move towards each other, their relative speed is the sum of their individual speeds: Speed_rel = S₁ + S₂.

Crossing Stationary Objects

When a train crosses a platform or bridge of length P, total distance = L + P. When it crosses a pole or man, distance = L.

Unit Conversion

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

Shortcut Trick

When speed is constant, Time Difference = (Difference in Distance) ÷ Speed.

⇒ Difference in Distance = 143 − 77 = 66 km.

⇒ Time Difference = 66 ÷ 11 = 6 hr.

∴ The correct answer is 6 hr.

Alternate Method

Given:

Distance₁ = 143 km, Distance₂ = 77 km, and Speed = 11 km/hr.

Formula Used:

Time = Distance ÷ Speed

Calculations:

⇒ Time taken for 143 km (T₁) = 143 ÷ 11

⇒ T₁ = 13 hr

⇒ Time taken for 77 km (T₂) = 77 ÷ 11

⇒ T₂ = 7 hr

⇒ Difference in time = T₁ − T₂

⇒ Difference = 13 − 7 = 6 hr

∴ The correct answer is 6 hr.

Additional Information

Average Speed

Average Speed = Total Distance ÷ Total Time. For two equal distances with speeds x and y, Average Speed = 2xy ÷ (x + y).

Relative Speed

When moving in the same direction, Relative Speed = S₁ − S₂. When moving in opposite directions, Relative Speed = S₁ + S₂.

Proportionality Rule

If speed is constant, distance is directly proportional to time (D ∝ T). If distance is constant, speed is inversely proportional to time (S ∝ 1/T).

Shortcut Trick

Initial ratio of A : B = 5 : 4

Final ratio of A : B = 6 : 5

Difference in ratio units = (6 − 5) = (5 − 4) = 1 unit

Since 1 unit = 6, then total final units = 6 + 5 = 11 units

Total sum of final values = 11 × 6 = 66

∴ The correct answer is 66.

Alternate Method

Given:

Initial ratio of A and B = 5 : 4

Increment in each number = 6

Final ratio of A and B = 6 : 5

Formula Used:

If numbers are in ratio a : b, they can be represented as ax and bx. After an increment k, the new ratio is (ax + k) / (bx + k).

Calculations:

⇒ Let the numbers be A = 5x and B = 4x

⇒ According to the question: (5x + 6) / (4x + 6) = 6 / 5

⇒ 5 × (5x + 6) = 6 × (4x + 6)

⇒ 25x + 30 = 24x + 36

⇒ 25x − 24x = 36 − 30

⇒ x = 6

⇒ Final value of A = 5 × 6 + 6 = 36

⇒ Final value of B = 4 × 6 + 6 = 30

⇒ Sum of final values = 36 + 30 = 66

∴ The correct answer is 66.

Additional Information

Constant Difference Rule

When the same quantity is added to or subtracted from both terms of a ratio, the absolute difference between the terms remains unchanged only if the ratio parts change by the same units.

Ratio and Proportion

If a/b = c/d, then they are in proportion. The cross-multiplication method (ad = bc) is the most reliable way to solve for an unknown variable x.

Alternative Ratio Balance

If the difference between the ratio parts (5−4 and 6−5) is not the same, we multiply the ratios by the difference of the other ratio to balance them before applying the unitary method.

Shortcut Trick

Selling Price (SP) at 30% discount = 70% of Marked Price (MP) = Rs. 420.

⇒ 100% MP = (420 ÷ 70) × 100 = Rs. 600.

If no discount is given, new SP = MP = Rs. 600.

Profit of 50% means 150% of Cost Price (CP) = Rs. 600.

⇒ CP = 600 ÷ 1.5 = Rs. 400.

∴ The correct answer is Rs. 400.

Alternate Method

Given:

Selling Price (SP₁) = Rs. 420

Discount = 30% on Marked Price (MP)

Profit = 50% (if SP₂ = MP)

Formula Used:

MP = [SP × 100] ÷ [100 − Discount%]

CP = [SP × 100] ÷ [100 + Profit%]

Calculations:

⇒ First, find the Marked Price (MP) using the given discount and SP.

⇒ MP = [420 × 100] ÷ [100 − 30]

⇒ MP = [420 × 100] ÷ 70 = 6 × 100 = Rs. 600

⇒ When no discount is given, the Marked Price becomes the new Selling Price.

⇒ New SP = Rs. 600

⇒ Now, find the Cost Price (CP) using the 50% profit condition.

⇒ CP = [600 × 100] ÷ [100 + 50]

⇒ CP = [600 × 100] ÷ 150

⇒ CP = 4 × 100 = Rs. 400

∴ The correct answer is Rs. 400.

Additional Information

Relationship between CP and MP

The direct ratio between Cost Price and Marked Price is given by CP ÷ MP = (100 − D%) ÷ (100 + P%).

Marked Price (List Price)

The price at which an article is listed or labeled by the retailer is called the Marked Price or List Price.

Successive Discounts

If two successive discounts of d₁% and d₂% are given, the equivalent single discount is [d₁ + d₂ − (d₁ × d₂ ÷ 100)]%.

Shortcut Trick

Let Cost Price (CP) = 10 units ⇒ Selling Price (SP) = 11 units (as Profit = 10%).

Discount = 3/11 × SP = 3/11 × 11 = 3 units.

Marked Price (MP) = SP + Discount = 11 + 3 = 14 units.

Required % = [(14 − 10) / 14] × 100 = 4/14 × 100 = 2/7 × 100 = 28.57%.

∴ The correct answer is 28.57%.

Alternate Method

Given: Profit = 10%, Discount = (3/11) of Selling Price.

⇒ Let the Cost Price (CP) of the article be ₹100.

⇒ Selling Price (SP) = CP × (100 + Profit%)/100 = 100 × (110/100) = ₹110.

⇒ Discount = (3/11) × SP = (3/11) × 110 = ₹30.

⇒ Marked Price (MP) = SP + Discount = 110 + 30 = ₹140.

⇒ Difference between MP and CP = 140 − 100 = ₹40.

⇒ Required percentage = (Difference / MP) × 100 = (40 / 140) × 100.

⇒ Required percentage = 2/7 × 100 ≈ 28.57%.

∴ The correct answer is 28.57%.

Additional Information

Relationship between CP and MP

The direct ratio between Marked Price and Cost Price is given by MP/CP = (100 + Profit%) / (100 − Discount%), where discount % is calculated on MP.

Discount Calculation

Discount = MP − SP. Discount percentage is always calculated on the Marked Price unless otherwise specified.

Profit Percentage

Profit% = [(SP − CP) / CP] × 100. It represents the gain over the original Cost Price.

Shortcut Trick

To find the number to be added to a, b, c, d for proportion, use the formula: x = (bc − ad) ÷ [(a + d) − (b + c)]

Given a = 12, b = 20, c = 28, d = 44.

x = (20 × 28 − 12 × 44) ÷ [(12 + 44) − (20 + 28)]

x = (560 − 528) ÷ (56 − 48)

x = 32 ÷ 8 = 4

∴ The correct answer is 4.

Alternate Method

Given: Numbers 12, 20, 28, and 44.

Formula Used: If (a + x), (b + x), (c + x), and (d + x) are in proportion, then (a + x) ÷ (b + x) = (c + x) ÷ (d + x).

Let the number to be added be x.

⇒ (12 + x) ÷ (20 + x) = (28 + x) ÷ (44 + x)

Cross-multiplying the terms:

⇒ (12 + x)(44 + x) = (20 + x)(28 + x)

⇒ 528 + 12x + 44x + x² = 560 + 20x + 28x + x²

⇒ 528 + 56x = 560 + 48x

⇒ 56x − 48x = 560 − 528

⇒ 8x = 32

⇒ x = 32 ÷ 8 = 4

∴ The correct answer is 4.

Additional Information

Continued Proportion

Three numbers a, b, c are in continued proportion if a:b = b:c, which implies b² = ac.

Fourth Proportional

In the proportion a:b = c:d, the term d is called the fourth proportional, calculated as d = (b × c) ÷ a.

Mean Proportional

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

Invertendo Property

If a:b = c:d, then by the invertendo property, b:a = d:c.

The correct answer is 'Option(4)' i.e. 'To speak very rapidly, hurriedly, and/or energetically'.

Key Points

• The idiom 'talk nineteen to the dozen' is used to describe someone who is talking very quickly and continuously, often without stopping. (बहुत तेज़ी से और लगातार बात करना)
• Example: Ever since she returned from her overseas trip, she has been talking nineteen to the dozen about her experiences.
• 'To speak very rapidly, hurriedly, and/or energetically' means to converse at a fast pace, possibly due to excitement, nervousness, or having a lot of information to share at once. (बहुत तेज़, जल्दबाजी में, और उत्साह के साथ बोलना)
• Example: The commentator had to speak very rapidly to keep up with the fast-paced action on the field.
• Hence, we can conclude that the idiom 'talk nineteen to the dozen' corresponds to the meaning of speaking energetically and hurriedly.

Therefore, the correct answer is- To speak very rapidly, hurriedly, and/or energetically.

Additional Information

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

• To speak slowly in a whispering tone (फुसफुसाते हुए धीमी आवाज़ में बोलना): This means to talk at a low volume and a measured speed so as not to be overheard.
• Example: They had to speak slowly in a whispering tone while the baby was napping in the next room.
• To whisper in the ear (कान में फुसफुसाना): The act of speaking softly and directly into someone’s ear to share a secret or private thought.
• Example: She leaned over to whisper in his ear so that no one else at the table could hear the surprise plan.
• To speak in an angry manner (क्रोधित लहजे में बोलना): Communicating with a voice that reflects displeasure, frustration, or fury.
• Example: The coach began to speak in an angry manner after the team made several avoidable errors.

The correct answer is Option 1 i.e. 'Describing someone who believes they are superior to others, especially due to their social rank or class'.

Key Points

• The idiom 'toffee-nosed' refers to someone who is snobbish or pretentious, often acting in an unfriendly way because they believe they belong to a higher social class. (नकचढ़ा / अभिमानी)
• Example: The people at the country club can be a bit toffee-nosed toward anyone they don't recognize.
• 'Superiority based on rank or class' describes the mindset of an individual who feels they are better than others due to their wealth, lineage, or social status, which is the exact definition of being toffee-nosed. (सामाजिक पद या श्रेणी के कारण स्वयं को श्रेष्ठ मानने वाला)
• Example: He was so arrogant that he believed his high social rank made him better than his hardworking employees.
• Hence, we can infer that the correct meaning of 'toffee-nosed' is to believe one is superior due to their class.

Therefore, the correct answer is- Describing someone who believes they are superior to others, especially due to their social rank or class.

Additional Information

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

• Believing one is inferior due to poverty (सामाजिक गरीबी के कारण स्वयं को दूसरों से कमतर मानने वाला): Having a lack of self-confidence or feeling low in status because of financial struggles.
• Example: No one should feel inferior just because they come from a poor background.
• Cheap due to production quality (कम उत्पादन गुणवत्ता के कारण सस्ता होना): Referring to products that are inexpensive because they are made with low-grade materials.
• Example: That brand is known for being cheap, but the production quality is so bad that the items don't last.
• To be very bad at doing something (किसी काम में बहुत खराब होना): Lacking the skill or competence to perform a specific task effectively.
• Example: I am very bad at public speaking because I get too nervous in front of crowds.

The correct answer is: Rarely.

Key Points

• The word 'Seldom' means not often; at infrequent intervals. (शायद ही कभी/बहुत कम)
• Example: They seldom go to the theatre these days.
• 'Rarely' refers to something that does not occur often; it is the most appropriate synonym for 'seldom'. (विरले ही/शायद ही कभी)
• Example: She rarely leaves the house after the sun sets.
• Hence, we can infer that the synonym of 'seldom' is 'rarely'.

Therefore, the correct answer is- Rarely.

Additional Information

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

• Often (अक्सर): Many times; frequently.
• Example: We often meet at the local cafe for breakfast.
• Always (हमेशा): At all times; on all occasions.
• Example: The sun always rises in the east.
• Never (कभी नहीं): Not at any time; not on any occasion.
• Example: I have never been to a professional football match.

The correct answer is: Unscrupulous.

Key Points

• The misspelt word among the options is 'Unscrupilous', which is an incorrect spelling of the word meaning having or showing no moral principles. (अनैतिक)
• Example: The unscrupulous salesman conned the elderly couple out of their life savings.
• 'Unscrupulous' is the correct spelling, which refers to someone who is dishonest, unfair, or lacks moral principles. (अनैतिक)
• Example: He was an unscrupulous politician who would do anything to win an election.
• Hence, we can infer that the misspelt word is 'Unscrupulous'.

Therefore, the correct answer is: Unscrupulous.

Additional Information

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

• Unprecedented (अभूतपूर्व): Never done or known before.
• Example: The company experienced unprecedented growth during the last quarter.
• Unconventional (अपरंपरागत): Not based on or conforming to what is generally done or believed.
• Example: She has an unconventional way of teaching that the students really enjoy.
• Unfathomable (अथाह / समझ से बाहर): Incapable of being fully explored or understood.
• Example: For some unfathomable reason, the keys were found in the refrigerator.

The correct answer is: zuchini.

Key Points

• The word 'zuchini' is the misspelt version of a word used for a specific variety of green squash; it is missing a second 'c' in its spelling. (तोरई जैसी एक सब्जी का अशुद्ध शब्द)
• Example: I noticed that zuchini was written incorrectly on the supermarket sign.
• 'Zucchini' is the correctly spelt word, which refers to a long, green or yellow summer squash that is commonly used in cooking. (तोरई/जुकिनी)
• Example: The garden produced a large zucchini that was perfect for making bread.
• Hence, we can identify that the misspelt word among the options is 'zuchini'.

Therefore, the correct answer is: zuchini.

Additional Information

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

• Zygote (युग्मनज): A diploid cell resulting from the fusion of two haploid gametes; a fertilized ovum.
• Example: The zygote undergoes rapid cell division as it travels toward the uterus.
• Zombie (ज़ोंबी): A fictional undead creature typically depicted as a reanimated corpse.
• Example: He dressed up as a zombie for the Halloween party last night.
• Zigzag (टेढ़ा-मेढ़ा): A line or course having abrupt alternate right and left turns.
• Example: The small boat followed a zigzag course to avoid the rocks in the river.

The correct answer is: Option (4) i.e. Inefficient.

Key Points

• The word 'efficient' means achieving maximum productivity with minimum wasted effort or expense; working in a well-organized and competent way. (कुशल)
• Example: The company implemented a more efficient system to handle customer complaints quickly.
• 'Inefficient' refers to something that is not achieving maximum productivity or is wasting time, money, or resources. (अकुशल)
• Example: The heating system in the old building was highly inefficient and led to massive energy bills.
• Hence, we can infer that the opposite of 'efficient' is 'inefficient'.

Therefore, the correct answer is: Inefficient.

Additional Information

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

• Productive (उत्पादक): Producing or able to produce large amounts of goods, crops, or other commodities.
• Example: The meeting was very productive and we reached a final decision on the budget.
• Capable (सक्षम): Having the power and ability needed to do something well.
• Example: She is a very capable student who consistently achieves high grades in all subjects.
• Effective (प्रभावी): Successful in producing a desired or intended result.
• Example: A simple effective way to reduce stress is to practice deep breathing exercises.

The correct answer is: Cornucopia.

Key Points

• The phrase 'An endless or abundant supply' refers to a situation where something is available in a vast or inexhaustible quantity. (प्रचुर मात्रा में आपूर्ति)
• Example: The garden provided an endless supply of fresh herbs throughout the summer.
• 'Cornucopia' is a one-word substitution that means an abundant supply of good things of a specified kind; it is traditionally represented as a goat's horn overflowing with flowers and fruit. (प्रचुरता / अक्षय भंडार)
• Example: The book is a cornucopia of interesting facts about ancient civilizations.
• Hence, we can infer that the most suitable one-word substitution for the given phrase is 'Cornucopia'.

Therefore, the correct answer is- Cornucopia.

Additional Information

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

• Hullabaloo (हंगामा/शोर-शराबा): A loud noise or a fuss made by people who are angry or excited.
• Example: There was a huge hullabaloo when the local team won the championship.
• Labyrinth (भुलभुलैया): A complicated irregular network of passages or paths in which it is difficult to find one's way.
• Example: The basement of the old mansion was a labyrinth of dark, dusty rooms.
• Maelstrom (भंवर/बड़ी उथल-पुथल): A powerful whirlpool in the sea or a river; or a state of confused and violent movement.
• Example: The politician was caught in a maelstrom of scandal and accusations.

The correct answer is 'In addition to'.

 

Key Points

• The phrase In addition to is a prepositional phrase that means as well as or besides.
• It is used to introduce an extra piece of information or another activity that someone does alongside something else.
• In the given sentence, the speaker is mentioning that the person both writes novels and paints.
• Options 2, 3, and 4 are grammatically and contextually unsuitable for this sentence structure.

Therefore, the correct answer is Option 1.

 

Complete Sentence: 'In addition to writing novels, he likes to paint.'

 

Additional Information

• Option 2: For is typically used to indicate purpose, reason, or duration (e.g., 'I bought this for you').
• Option 3: Due to means because of and is used to explain the reason or cause for something (e.g., 'Delayed due to rain').
• Option 4: Owing to is similar to due to and is used to indicate a cause or reason (e.g., 'Owing to his illness, he could not come').

The correct answer is The research team will have completed the final report before the board meeting begins.

Key Points

• The original sentence is in the Passive Voice and follows the Future Perfect Tense structure. The passive formula for this tense is: Subject + will + have + been + past participle (V3) + by + Agent.
• In the given sentence, the final report is the subject receiving the action, will have been completed is the verb phrase, and the research team is the agent (doer of the action).
• To convert a Future Perfect sentence into the Active Voice, the agent of the passive sentence becomes the new subject, and the formula changes to: Subject + will + have + past participle (V3) + Object.
• Applying the conversion: The agent the research team moves to the subject position, the verb phrase changes from will have been completed to will have completed, and the final report becomes the direct object.
• The subordinate clause before the board meeting begins functions as an adverbial of time and remains unchanged in the transformation from passive to active voice.

 Additional Information

• Voice and Tense Consistency:
• Future Perfect Tense: Used to indicate an action that will be completed at some point in the future before another action takes place. It is essential to maintain this tense during voice conversion.
• Active Voice: It is generally preferred in professional and academic writing because it is more direct, concise, and clearly identifies the actor performing the action.
• Incorrect Tense Usage:
• Option 1 uses Simple Future (will complete), which fails to capture the completed nature of the action relative to the deadline.
• Option 3 uses Simple Present (completes), which usually denotes facts, habits, or scheduled future events in a different context.
• Option 4 uses Present Perfect (has completed), which refers to an action finished in the past with current relevance, contradicting the future context of the sentence.

The correct answer is Switch off the lights when you leave.

Key Points

• The sentence 'The lights are to be switched off when you leave' is in the passive voice. It uses the passive infinitive structure, which consists of 'to be' followed by the past participle ('switched').
• This grammatical structure is commonly employed to state rules, official instructions, or formal commands where the actor is often implied rather than stated.
• To convert an instruction from passive to active voice, we generally use the imperative mood. In English, imperative sentences are inherently in the active voice because the subject 'you' is understood as the performer of the action.
• An imperative sentence begins with the base form (infinitive without 'to') of the verb. Thus, 'to be switched off' becomes 'Switch off' in the active form.
• The phrase 'when you leave' is a subordinate clause indicating time and remains unchanged in the conversion as it already identifies the actor ('you').
• Therefore, the sentence 'Switch off the lights when you leave' accurately captures the active voice while maintaining the original imperative intent and temporal context.

 Additional Information

• Voice and Grammatical Mood:
• Active Voice: The subject performs the action denoted by the verb. It is the most direct and efficient way to communicate instructions in everyday language.
• Imperative Mood: A verb mood used to give orders, directions, or warnings. It always utilizes the present tense and does not require an explicit subject because it is addressed to a second person.
• Passive Voice: Used when the focus is on the action or the object receiving the action (the 'lights') rather than the person performing it.
• Incorrect Option Analysis:
• Option 1: 'You will switch...' uses the future tense ('will'), which changes the tone from a direct instruction to a statement about a future event or a prediction.
• Option 2: 'The lights should be switched off...' incorporates the modal verb 'should' but maintains the passive construction ('be switched'), failing the requirement for active voice.
• Option 4: 'Switched off the lights...' is grammatically flawed as an instruction because it uses the past participle or past tense form instead of the base verb required for an active imperative command.

The correct answer is 'to'.

 

Key Points

• The adjective nice is followed by the preposition to when describing a person's behavior or attitude toward another person.
• In the given sentence, the behavior of Rakesh is being directed toward Radhika, making to the grammatically correct choice.
• Other adjectives that follow this same pattern (Adjective + to + Someone) include kind, polite, rude, and generous.

Therefore, the correct answer is Option 3.

 

Complete Sentence: 'Rakesh was very nice to Radhika when they last met each other.'

 

Additional Information

• Option 1: 'with' is typically used to describe how someone handles objects or general situations (e.g., nice with his tools), or sometimes to describe general companionship, but to is the standard preposition for directed behavior.
• Option 2: 'at' is used to indicate a specific location or proficiency in a skill (e.g., good at tennis), which is not applicable here.
• Option 4: 'by' is used to identify the agent of an action or a method, not the recipient of a specific behavior or trait.

The correct answer is ambiguous remarks only added fuel to the fire.

Key Points

• The sentence requires an idiomatic correction and a contextual vocabulary improvement. The standard English idiom is add fuel to the fire (or flame), which means to cause a situation to become more intense, excited, or uncontrollable, typically in a negative way. The original phrase added fuel in the fire uses the incorrect preposition in.
• The word ambitious (showing a strong desire for success) does not logically contrast with the intention to pacify (to calm or soothe). In a diplomatic context, remarks that are ambiguous (vague or open to multiple interpretations) are a common cause of escalating tensions because they lead to misunderstanding and mistrust.
• Replacing ambitious with ambiguous creates a logical transition using the conjunction but, indicating that while the diplomat intended to resolve the conflict, the lack of clarity in his speech achieved the opposite result.
• Option 1 is incorrect because it uses the preposition into, which is not the standard form of the idiom, and antagonistic implies an intentional hostility that contradicts the intended goal of the speech.
• Option 3 is incorrect because assiduous means showing great care and perseverance; such remarks would unlikely result in the worsening of a situation.

 Additional Information

• Ambiguous:
• Originates from the Latin ambiguus, meaning doubtful.
• Key characteristic: It describes a statement or sign that can be understood in more than one way, often leading to confusion in negotiations or legal documents.
• Antagonistic:
• Derived from antagonismos (Greek), meaning struggle.
• Key characteristic: Shows active opposition or hostility toward someone or something.
• Assiduous:
• Refers to a person or action showing meticulous attention and constant effort.
• Key characteristic: Highly valued in academic and professional settings for thoroughness.
• Pacify:
• To bring peace to a state of turmoil or war.
• Core function: It is a transitive verb often used in international relations and conflict resolution.

The correct answer is Option 4.

Key Points

• The paragraph describes a tense and distressing situation involving the narrator and a beast named Esmé. The sequence of sentences follows the narrator's frantic efforts to control the creature and the sudden, grim turn of events.
• Sentence B follows S1 as it provides specific examples of the narrator 'doing everything' mentioned in the first sentence, such as shouting in different languages and throwing objects:
• 'I stormed and scolded and coaxed in English and French and gamekeeper language; I made absurd, ineffectual cuts in the air with my thong less hunting-crop; I hurled my sandwich case at the brute; in fact, I really don't know what more I could have done.'
• Sentence D follows as it describes the persistence of their journey ('And still we lumbered on') through the dusk, indicating that the narrator's previous efforts were unsuccessful:
• 'And still we lumbered on through the deepening dusk, with that dark, uncouth shape lumbering ahead of us, and a drone of lugubrious music floating in our ears.'
• Sentence C is the third sentence in the sequence, marking a sudden change in action where Esmé disappears and a distressing shriek is heard:
• 'Suddenly Esmé bounded aside into some thick bushes, where we could not follow; the wail rose to a shriek and then stopped altogether.'
• Sentence A is the fourth because it serves as a transition, with the narrator expressing a desire to skip the details of the 'horrible' event that has just occurred (implied by the shriek in sentence C):
• 'This part of the story I always hurry over, because it is really rather horrible.'
• The correct logical sequence is BDCA, which seamlessly leads into S2, describing the beast's return after a brief absence.

Coherent paragraph after rearrangement:

'Personally, I was doing everything that occurred to me at the moment. I stormed and scolded and coaxed in English and French and gamekeeper language; I made absurd, ineffectual cuts in the air with my thong less hunting-crop; I hurled my sandwich case at the brute; in fact, I really don't know what more I could have done. And still we lumbered on through the deepening dusk, with that dark, uncouth shape lumbering ahead of us, and a drone of lugubrious music floating in our ears. Suddenly Esmé bounded aside into some thick bushes, where we could not follow; the wail rose to a shriek and then stopped altogether. This part of the story I always hurry over, because it is really rather horrible. When the beast joined us again, after an absence of a few min, there was an air of patient understanding about him, as though he knew that he had done something of which we disapproved, but which he felt to be thoroughly justifiable.'

The correct answer is Option 2.

Key Points

• The paragraph explains the biological and environmental factors that influenced the spread and immunity of polio during the 20^th century.
• Sentence D follows S1 because it provides a reason for the observation in the opening sentence. S1 states that babies were exposed to polioviruses, and Sentence D explains why they remained healthy:
• 'These infants did not contract the disease because their mothers' antibodies were passed on to them through breast-feeding.'
• Sentence B follows next as it describes the subsequent step in the natural immunity process for those infants:
• 'The babies then developed their own antibodies to the virus.'
• Sentence A is the third sentence as it introduces a historical shift. It uses the word 'paradoxically' to show how improved sanitation disrupted this natural immunity cycle:
• 'Paradoxically, when sanitation improved, infants were no longer exposed at an age when they were protected, so they did not develop antibodies to the viruses.'
• Sentence C is the fourth sentence because it outlines the dangerous consequence of the lack of early exposure mentioned in Sentence A:
• 'Consequently, when they were exposed to the virus in later childhood and adulthood, they were at risk to contract polio.'
• The paragraph concludes with S2, which attributes this complex biological understanding to research funded by organizations like the March of Dimes.
• The correct sequence is DBAC.

Coherent paragraph after rearrangement:

'Babies were frequently exposed to polioviruses. These infants did not contract the disease because their mothers' antibodies were passed on to them through breast-feeding. The babies then developed their own antibodies to the virus. Paradoxically, when sanitation improved, infants were no longer exposed at an age when they were protected, so they did not develop antibodies to the viruses. Consequently, when they were exposed to the virus in later childhood and adulthood, they were at risk to contract polio. This understanding about the nature of polio grew through painstaking research over the first half of the twentieth century, much of it funded by the March of Dimes, a grassroot organization founded with the help of President Roosevelt.'