SSC GD Constable 2026 Official Paper (Held On 04 May, 2026 Shift 3) (Previous Year Paper)

For 'MY' related to 'PE':

For 'QZ' related to 'TF':

Applying the same logic to find the first cluster related to 'UD':

Thus, RX is related to UD in the same manner.

Hence, the correct answer is 'Option 3'.

For the set '(JP, EI, ZB)':

For the set '(MO, HH, CA)':

Applying the same logic to the options:

For '(YM, TF, OY)':

Hence, the correct answer is 'Option 4'.

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

1. D is fifth to the right of A.
2. D is not at any of the ends of the row.
3. Two boys are sitting between G and E.
4. Two boys are sitting between F and B.
5. F is fourth from the left end of the row.
6. G is not the immediate neighbour of F. 

C is third from the left end of the row.

Hence, the correct answer is “Option 1”.

7 boys P, Q, R, S, T, U and W are sitting in a row facing north (not necessarily in the same order).

1. No one is to the right of Q.
2. R is fourth to the left of Q.
3. W is second to the left of R.
4. T is fourth to the right of U.
5. P is not second to the right of U.

Four boys are sitting right of R.

Hence, the correct answer is “Option 4”.

Let the three consecutive odd numbers be x, x + 2, and x + 4.

The sum of these numbers is given as 111.

x + (x + 2) + (x + 4) = 111

3x + 6 = 111

3x = 111 − 6

3x = 105

x = 105 ÷ 3

x = 35

First odd number (x) = 35

Second odd number (x + 2) = 37

Third odd number (x + 4) = 39

Comparing the three numbers 35, 37, and 39, the largest number is 39.

Hence, the correct answer is “Option 4”.

Sum = 15 + 18 + 19 + 26 + 30 = 108

Number of observations (n) = 5

Average = Sum ÷ Number of observations

Average = 108 ÷ 5

Average = 21.6

Hence, the correct answer is “Option 2”.

Given the relations between the ages of the individuals:

1. Ajay is older than Bharat but younger than Chetan.

Chetan > Ajay > Bharat.

2. Dev is younger than Bharat but older than Farhan

Bharat > Dev > Farhan.

By combining these two logical chains through the common person Bharat, we get the complete descending order of age:

Chetan > Ajay > Bharat > Dev > Farhan

From this combined chain, it is clear that Chetan is the oldest person in the group.

Hence, the correct answer is 'Option 3'.

The logic followed here is:

Hence, the correct answer is 'Option 2'.

Logic followed here is,

102

102 × 2 = 204

204 × 2 = 408

408 × 2 = 816

816 × 2 = 1632

1632 × 2 = 3264

Hence, the correct answer is “Option 2”.

Logic followed here is,

43 + 11 = 54

54 + 22 = 76

76 + 33 = 109

109 + 44 = 153

153 + 55 = 208

208 + 66 = 274

274 + 77 = 351

Missing terms are "153 and 351".

Hence, the correct answer is “Option 4”.

Pattern followed here is,

Hence, the correct answer is “Option 2”.

Pattern followed here is,

Similarly,

Hence, the correct answer is “Option 3”.

Pattern followed here is,

Similarly,

Hence, the correct answer is “Option 4”.

LT70 : UK140 →

KK90 : LJ180 →

Similarly,

? : FH130 →

Hence, the correct answer is 'Option 1'.

DLP300 : BJN540 →

LKJ720 : JIH960 →

Similarly,

MVZ620 : ? →

Hence, the correct answer is 'Option 4'.

Dictionary order of given words:

4. Plan
5. Plane
6. Planet
7. Plank
8. Plant 

Correct order is: 45123

Hence, the correct answer is “Option 2”.

The logic followed here is:

Logic: Second Number = (First Number × 2) + 1

For the first pair 776 : 1553

⇒ (776 × 2) + 1

⇒ 1552 + 1 = 1553.

For the third pair 133 : 267

⇒ (133 × 2) + 1

⇒ 266 + 1 = 267.

Applying the same logic to the second pair

218 : ?

⇒ (218 × 2) + 1

⇒ 436 + 1 = 437.

Hence, the correct answer is 'Option 4'.

The logic followed here is:

Logic: Second Number = (First Number + 2)²

For the first pair 18 : 400

⇒ (18 + 2)²

⇒ 20² = 400.

For the second pair 23 : 625

⇒ (23 + 2)²

⇒ 25² = 625.

Applying the same logic to the third pair

14 : ?

⇒ (14 + 2)²

⇒ 16² = 256.

Hence, the correct answer is 'Option 1'.

'SUNG' is coded as 'HVOH' →

'PLEX' is coded as 'KMFY' →

Similarly,

'BABE' be coded as,

Hence, the correct answer is “Option 2”.

BABES is coded as DDGBO →

ROCKS is coded as TRHHO →

Similarly,

let's find the code for SEIZE:

Hence, the correct answer is “Option 4”.

The correct answer is President.

Key Points

• Under Article 75 of the Indian Constitution, the Prime Minister is appointed by the President of India. While the President makes the formal appointment, they are bound by constitutional conventions to appoint the leader of the party or coalition that commands a majority in the Lok Sabha.
• The President also appoints other Ministers of the Union, but this is done specifically on the advice of the Prime Minister.
• The Prime Minister serves as the Head of the Government and the chief link between the Cabinet and the President. Although the Prime Minister holds office during the pleasure of the President, they cannot be dismissed as long as they maintain a majority in the Lower House.
• Before the Prime Minister enters office, the President administers the oaths of office and secrecy as per the forms set out in the Third Schedule of the Constitution.

 Additional Information

• Parliament:
• Comprises the President, the Rajya Sabha (Council of States), and the Lok Sabha (House of the People). While it is the legislative body, it does not formally appoint the Prime Minister.
• Chief Justice of India:
• The head of the Judiciary and the Supreme Court. The Chief Justice administers the oath of office to the President under Article 60, but has no role in the executive appointment of the Prime Minister.
• Vice President:
• Functions as the Ex-officio Chairman of the Rajya Sabha. According to Article 65, the Vice President acts as President only during casual vacancies or the President's absence.
• Eligibility:
• A person must be a member of either house of Parliament to be Prime Minister. If not a member at the time of appointment, they must be elected to either the Lok Sabha or Rajya Sabha within six months.

The correct answer is Article 368.

Key Points

• Article 368, located in Part XX of the Constitution of India, defines the power of Parliament to amend the Constitution and provides the specific procedure for such modifications.
• The Parliament may, in the exercise of its constituent power, amend by way of addition, variation, or repeal any provision of the Constitution in accordance with the procedure laid down.
• An amendment of the Constitution can be initiated only by the introduction of a Bill for the purpose in either House of Parliament (Lok Sabha or Rajya Sabha) and not in the State Legislatures.
• The Bill must be passed in each House by a Special Majority, which requires a majority of the total membership of that House and a majority of not less than two-thirds of the members of that House present and voting.
• The Supreme Court, in the historic Kesavananda Bharati Case (1973), ruled that Parliament cannot amend those provisions which form the Basic Structure of the Constitution.

 Additional Information

• Article 352
• Relates to the proclamation of a National Emergency by the President when the security of India is threatened by war, external aggression, or armed rebellion.
• Article 356
• Commonly known as President’s Rule, it allows for the suspension of state government and the imposition of direct central government rule in a state if the constitutional machinery fails.
• Article 370
• Formerly granted a Temporary Special Status to the state of Jammu and Kashmir; its primary provisions were rendered inoperative by a Presidential Order in August 2019.

The correct answer is Kerala Kalamandalam.

Key Points

• Kerala Kalamandalam was founded in 1930 by the renowned Malayalam poet Vallathol Narayana Menon, popularly known as Mahakavi Vallathol, in collaboration with Manakkulam Mukunda Raja.
• The primary objective of establishing this institution was to rescue traditional Kerala performing arts, particularly Kathakali, Koodiyattam, and Mohiniyattam, from the state of decline they had fallen into during the early 20^th century.
• The institution is located in Cheruthuruthy, a village in the Thrissur district of Kerala, situated on the banks of the Bharatapuzha river (Nila).
• Vallathol Narayana Menon recognized that without structured training and patronage, the complex art of Kathakali, which combines Sangeetham (music), Nritham (dance), Natyam (acting), and Kavithvam (poetry), would vanish.
• In 2006, the Government of India accorded the status of Deemed University to Kerala Kalamandalam for its unparalleled contribution to the preservation of Indian classical arts.

 Additional Information

• Vallathol Narayana Menon:
• He was one of the triumvirate poets of modern Malayalam literature, alongside Kumaran Asan and Ulloor S. Parameswara Iyer.
• He was honored with the Padma Bhushan in 1954 for his contributions to literature and the arts.
• His poetic works like Magdalana Mariam and Sahitya Manjari played a significant role in the nationalist movement in Kerala.
• Kathakali:
• It is one of the eight classical dances of India, characterized by its elaborate Vesham (costumes) and Chutti (makeup).
• The performance involves Mudras (hand gestures) and Navarasas (nine facial expressions) to narrate stories from the Puranas, Ramayana, and Mahabharata.
• Other Classical Arts at Kalamandalam:
• Mohiniyattam: Often referred to as the 'Dance of the Enchantress', it was revitalized by Vallathol to ensure it maintained its classical grace.
• Koodiyattam: Recognized by UNESCO as a Masterpiece of the Oral and Intangible Heritage of Humanity, it is the oldest surviving Sanskrit theatre tradition.

The correct answer is A women's folk dance involving rhythmic clapping and singing.

Key Points

• Giddha is a popular and vibrant folk dance originating from the Punjab region of India and Pakistan, performed exclusively by women.
• The dance is highly rhythmic and is characterized by its lack of heavy instrumentation; instead, the beat is primarily generated through rhythmic clapping and the use of a Dhol (barrel drum).
• It is often considered the female counterpart to the male-centric Bhangra dance, sharing similar energy levels but emphasizing grace, femininity, and storytelling.
• The performance involves women standing in a circle while singing Boliyaan, which are traditional couplets or short folk songs that reflect the daily lives, emotions, and social experiences of Punjabi women.
• One or two women usually step into the center of the circle to perform the main dance steps while the others provide the chorus and clapping support.

 Additional Information

• Cultural Significance and Occasions:
• Giddha is typically performed during festivals such as Baisakhi (harvest festival) and Teeyan (monsoon festival dedicated to women).
• It is also a staple at weddings and other family celebrations, serving as a medium for social bonding and merriment.
• Attire and Ornamentation:
• Performers wear bright, colorful Salwar Kameez or Lehengas made of silk or satin, often heavily embroidered with Gota-patti or Phulkari work.
• Specific traditional jewelry includes the Saggi Phul (a floral-shaped head ornament), Tikka, and heavy bangles that add to the visual and auditory spectacle of the dance.
• Thematic Content of Boliyaan:
• The lyrics often humorously address familial relationships, such as the bond between a mother-in-law and daughter-in-law, or celebrate romantic love and nature.

The correct answer is Arundhati Roy.

Key Points

• Arundhati Roy is the acclaimed Indian author who wrote the semi-autobiographical novel 'The God of Small Things', which was published in 1997.
• The novel is set in Aymanam, a village in the Kottayam district of Kerala, India, and follows the lives of fraternal twins, Estha and Rahel.
• The book gained international recognition by winning the Man Booker Prize for Fiction in 1997 and was cited as one of the New York Times Notable Books of the Year.
• The narrative explores complex social themes including the caste system, communism, and the rigid 'Love Laws' of Indian society, using a distinctive non-linear timeline.
• It remains one of the most significant works of contemporary Indian literature, having been translated into more than 40 languages worldwide.

 Additional Information

• Vikram Seth:
• He is a renowned Indian poet and novelist, best known for his monumental novel 'A Suitable Boy' (1993), which is one of the longest English novels ever published.
• His literary contributions also include 'The Golden Gate' and 'An Equal Music'.
• Kiran Desai:
• She is an Indian author whose novel 'The Inheritance of Loss' won the Man Booker Prize in 2006.
• Her writing often focuses on the themes of post-colonialism, identity, and globalization.
• Shekhar Kapur:
• Primarily a film director and producer rather than a novelist, he is famous for directing critically acclaimed movies like 'Masoom', 'Mr. India', and the Oscar-winning 'Elizabeth'.
• He has served as the Chairman of the Film and Television Institute of India (FTII).

The correct answer is Aravalli.

Key Points

• The Aravalli Range is geologically recognized as the oldest fold mountain system in India and is among the oldest in the world.
• It originated during the Precambrian Era, specifically the Proterozoic Eon, approximately 1.8 billion years ago, as part of the Aravalli-Delhi Orogeny.
• Today, it is categorized as a relict mountain or residual mountain because its once-towering peaks have been significantly lowered by millions of years of weathering and erosion.
• The range extends for about 800 kilometers in a Southwest-Northeast direction, covering parts of Gujarat, Rajasthan, Haryana, and Delhi.
• The highest peak of the Aravalli range is Guru Shikhar, located in Mount Abu, reaching an elevation of 1,722 meters above sea level.
• The range acts as a climatic barrier, preventing the eastward expansion of the Thar Desert and influencing the rainfall patterns in Northwest India.

 Additional Information

• Himalayas:
• These are Young Fold Mountains formed during the Cenozoic Era (Tertiary Period) due to the collision between the Indian Plate and the Eurasian Plate.
• They are characterized by high peaks, deep valleys, and fast-flowing rivers, and they are still geologically active and growing.
• Western Ghats:
• Also known as Sahyadri, this range runs parallel to the western coast and is older than the Himalayas but younger than the Aravallis.
• They represent the faulted edge of the Deccan Plateau and are a UNESCO World Heritage Site known for immense biodiversity.
• Eastern Ghats:
• A discontinuous range of mountains along India's eastern coast that has been eroded by major peninsular rivers like the Godavari and Krishna.
• While older than the Western Ghats, they were formed much later than the Aravalli system.

The correct answer is Brahmaputra.

Key Points

• Majuli is a large riverine island located in the Brahmaputra River in the state of Assam, India.
• It was formed due to the course changes of the Brahmaputra and its tributaries, specifically the Lohit River to the north and the main Brahmaputra channel to the south.
• In 2016, Guinness World Records officially designated Majuli as the world's largest river island, a title previously held by Marajo in Brazil.
• Majuli holds the unique distinction of being the first island to be made a district in India, a status it achieved in September 2016.
• The island is a significant site for Neo-Vaishnavite culture, housing numerous Satras (monasteries) founded by the saint-reformer Srimanta Sankardeva.
• While originally spanning over 1,200 square kilometers, constant soil erosion by the Brahmaputra has reduced its current area to approximately 352 square kilometers.

 Additional Information

• Ganga:
• It is the longest river in India, originating from the Gangotri Glacier at Gaumukh.
• Along with the Brahmaputra, it forms the Sundarbans Delta, which is the largest river delta in the world.
• Godavari:
• Often referred to as Dakshin Ganga or Vriddh Ganga, it is the largest peninsular river system.
• It originates from Trimbakeshwar in the Nashik district of Maharashtra.
• Yamuna:
• The largest tributary of the Ganga, it originates from the Yamunotri Glacier in the Banderpooch peaks of the Himalayas.
• It passes through major cities including Delhi, Agra, and Mathura before merging with the Ganga at Prayagraj.

The correct answer is Rainbow appears at the same distance..

Key Points

• A rainbow is not a physical object located at a specific point in space but is an optical phenomenon whose perceived position depends on the observer.
• It is formed by the refraction, total internal reflection, and dispersion of sunlight as it passes through spherical water droplets in the atmosphere.
• The observer always sees the rainbow at a fixed angular relationship of approximately 40 to 42 degrees from the anti-solar point (the point directly opposite the Sun).
• Because the rainbow is defined by this angle rather than a fixed physical coordinate, as the observer moves, the rainbow appears to move with them.
• When a student tries to move closer, they are simply seeing light refracted from a different set of raindrops that satisfy the 42-degree viewing condition, making the rainbow appear to stay at the same distance.

 Additional Information

• Dispersion: This is the process where white light separates into its spectral colors (Red, Orange, Yellow, Green, Blue, Indigo, and Violet) because different wavelengths refract at slightly different angles.
• Anti-Solar Point: This is the imaginary point exactly 180 degrees opposite the Sun. The center of the rainbow arc is always aligned with this point.
• Primary and Secondary Rainbows:
• A primary rainbow involves one internal reflection and is brighter, with red on the outer edge.
• A secondary rainbow is caused by two internal reflections, appears fainter, and has a reversed color sequence.
• Total Internal Reflection: This occurs when the light hitting the back of the water droplet is reflected forward rather than passing through, a critical step in sending the light back toward the observer.

Therefore, the correct option is 3.

The correct answer is Sir Edward Burne-Jones.

Key Points

• The stained-glass windows in the western part of St. Paul's Cathedral in Kolkata (formerly Calcutta) were designed by the eminent Pre-Raphaelite artist Sir Edward Burne-Jones.
• This monumental window was commissioned as a memorial to Lord Mayo, the Viceroy of India, who was assassinated in 1872 while visiting a penal settlement in the Andaman Islands.
• The designs were executed by Morris & Co., the decorative arts firm established by William Morris, which was a cornerstone of the Arts and Crafts Movement in the 19^th century.
• Installed around 1880, these windows are masterpiece examples of Gothic Revival art, featuring the ethereal and elongated figures characteristic of Burne-Jones's unique style.
• St. Paul's Cathedral itself is a landmark of Indo-Gothic architecture and was the first cathedral built in the overseas territories of the British Empire, consecrated in 1847.

 Additional Information

• Sir Edward Burne-Jones:
• He was a leading figure in the second phase of the Pre-Raphaelite Brotherhood, focusing heavily on medievalism and mythology.
• In addition to stained glass, he is famous for paintings such as The Golden Stairs and The Beguiling of Merlin.
• Incorrect Options:
• Leonardo da Vinci: A High Renaissance polymath known for the Mona Lisa and The Last Supper; his work predates the cathedral by over three centuries.
• Michelangelo: An Italian High Renaissance master famous for sculpting David and painting the Sistine Chapel ceiling.
• Rembrandt: A Dutch Golden Age painter recognized for his exceptional use of chiaroscuro (light and shadow) in portraits and biblical scenes.

The correct answer is Lunar eclipse.

Key Points

• A Lunar eclipse occurs specifically when the Earth passes directly between the Sun and the Moon, obstructing the solar rays from illuminating the lunar surface.
• This celestial alignment results in the Earth casting its shadow on the Moon, which is divided into the Umbra (the darkest central part) and the Penumbra (the outer, lighter part).
• This phenomenon is only possible during the Full Moon phase, as the Sun and Moon must be at opposite points relative to the Earth.
• During a Total Lunar Eclipse, the Moon often appears reddish because the Earth's atmosphere scatters shorter wavelengths (blue) and refracts longer wavelengths (red) toward the Moon, a process known as Rayleigh scattering.
• Unlike solar eclipses, a lunar eclipse can be observed safely with the naked eye and is visible from any location on the night-side of the Earth.

 Additional Information

• Solar eclipse:
• This occurs when the Moon moves between the Earth and the Sun, partially or fully obscuring the Sun's disk.
• It happens only during the New Moon phase when the Moon is on the same side of the Earth as the Sun.
• Meteor shower:
• This is a celestial event where multiple meteors (shooting stars) are observed to originate from a single point in the sky.
• It is caused by the Earth passing through a stream of cosmic debris or dust left behind by a comet or asteroid.
• Aurora borealis:
• Also known as the Northern Lights, this is a vivid natural light display in the Earth's sky.
• It is created when charged particles from the Sun (solar wind) collide with gases like oxygen and nitrogen in the Earth's thermosphere, directed by the magnetic poles.

The correct answer is 1992 Cricket world cup.

Key Points

• The 1992 Cricket World Cup was officially titled the Benson & Hedges World Cup, named after its primary sponsor, the tobacco company Benson & Hedges.
• This was the fifth edition of the flagship tournament, hosted jointly by Australia and New Zealand between February and March 1992.
• It is widely regarded as a revolutionary tournament because it introduced major changes to the format, including the use of colored clothing for players, white cricket balls, and day-night matches played under floodlights.
• The tournament featured a unique round-robin format where all nine participating teams played each other once before the knockout stages.
• The final took place at the Melbourne Cricket Ground (MCG), where Pakistan, captained by Imran Khan, defeated England by 22 runs to lift their maiden trophy.

 Additional Information

• Other Sponsored World Cups:
• 1987 Cricket World Cup: Known as the Reliance Cup, it was the first edition held outside of England, hosted by India and Pakistan.
• 1996 Cricket World Cup: Officially called the Wills World Cup, hosted by India, Pakistan, and Sri Lanka, which saw Sri Lanka emerge as champions.
• 1999 Cricket World Cup: Primarily hosted by England, this tournament returned to the use of red balls and white clothing for a brief period before permanent shifts to colored kits in later editions.
• Historical Significance of 1992:
• It marked the World Cup debut of South Africa following the end of the international sports boycott due to the apartheid policy.
• Martin Crowe of New Zealand was named the Player of the Tournament for his innovative captaincy and batting performance.

The correct answer is Mirabai Chanu.

Key Points

• Mirabai Chanu secured India's first gold medal at the 2022 Commonwealth Games held in Birmingham, England.
• She competed in the Women's 49kg weightlifting category and achieved a total lift of 201 kg, which set a new Commonwealth Games record.
• Her performance was divided into 88 kg in the Snatch category and 113 kg in the Clean and Jerk category.
• This victory marked her second consecutive gold at the Commonwealth Games, following her success at the 2018 Gold Coast Games.
• She is also an Olympic silver medalist, having won the medal at the Tokyo 2020 Games in the same weight category.

 Additional Information

• Jeremy Lalrinnunga:
• He won India's second gold medal at the 2022 Birmingham Games in the Men's 67kg weightlifting category.
• He set a new Commonwealth Games record with a total lift of 300 kg.
• Bajrang Punia:
• A renowned freestyle wrestler who won the gold medal in the Men's 65kg category at the 2022 Commonwealth Games.
• He defeated Lachlan McNeil of Canada in the final match to secure his gold.
• P.V. Sindhu:
• The badminton champion won her first individual Commonwealth Games gold medal in the Women's Singles category in 2022.
• She defeated Michelle Li of Canada in the final.
• India's Performance at CWG 2022:
• India finished fourth in the overall medal standings with a total of 61 medals.
• The final tally included 22 gold, 16 silver, and 23 bronze medals.

The correct answer is Involuntary muscles.

Key Points

• Cardiac muscles are a specialized type of muscle tissue found exclusively in the myocardium, which is the middle layer of the heart wall.
• These muscles are classified as involuntary muscles because their rhythmic contraction and relaxation occur automatically and are not under the conscious control of the somatic nervous system.
• The primary function of cardiac muscle is to pump blood throughout the circulatory system by contracting the heart chambers.
• Unlike skeletal muscles, cardiac muscles are myogenic, meaning the impulse for contraction originates within the muscle tissue itself via the Sinoatrial (SA) node, although the autonomic nervous system can modulate the heart rate.
• Structurally, cardiac muscle cells are branched, uninucleated, and contain striations (bands of actin and myosin), but their functional classification remains involuntary due to the lack of conscious regulation.

 Additional Information

• Voluntary muscles:
• These are primarily skeletal muscles attached to the bones.
• They are controlled by the will of the individual through the central nervous system for movement and posture.
• Smooth muscles:
• These are non-striated, spindle-shaped muscles found in the walls of hollow internal organs like the stomach, intestines, and blood vessels.
• Like cardiac muscles, they are involuntary, but they lack the striations and branching characteristic of the heart muscle.
• Striated skeletal muscles:
• These are long, cylindrical, and unbranched fibers that appear striped under a microscope.
• They are distinguished from cardiac muscles by being multinucleated and strictly voluntary in nature.
• Intercalated Discs:
• A unique feature of cardiac muscle is the presence of intercalated discs which contain gap junctions.
• These structures allow for rapid electrical communication between cells, ensuring the heart contracts as a single functional unit called a syncytium.

The correct answer is Pituitary gland.

Key Points

• The Pituitary gland is a pea-sized endocrine gland located at the base of the brain within a bony structure called the sella turcica, attached to the hypothalamus.
• It is widely recognized as the Master Gland because its hormones regulate the activity of various other endocrine glands, including the thyroid, adrenals, and reproductive organs.
• Growth Hormone (GH), also referred to as somatotropin, is specifically synthesized and secreted by somatotroph cells located in the anterior pituitary (adenohypophysis).
• The primary biological role of Growth Hormone is to stimulate mitosis and cellular differentiation, promoting the growth of bones, cartilage, and skeletal muscles.
• Physiologically, it triggers the liver and other tissues to produce Insulin-like Growth Factor-1 (IGF-1), which mediates most of the growth-promoting effects.
• In addition to growth, it influences metabolism by increasing protein synthesis, enhancing lipolysis in adipose tissue, and regulating blood glucose levels by antagonizing insulin action.

 Additional Information

• Thyroid Gland:
• Located in the neck, it secretes Thyroxine (T4) and Triiodothyronine (T3).
• These hormones are essential for maintaining the Basal Metabolic Rate (BMR) and supporting nervous system development.
• Adrenal Gland:
• Positioned above the kidneys, it consists of an outer cortex and an inner medulla.
• The cortex secretes Cortisol (stress hormone) and Aldosterone, while the medulla secretes Adrenaline (Epinephrine) for the 'fight or flight' response.
• Pancreas:
• Serves as a heterocrine gland; the Islets of Langerhans represent its endocrine portion.
• It secretes Insulin from beta cells to lower blood glucose and Glucagon from alpha cells to increase it.

The correct answer is Kanyakumari.

Key Points

• Kanyakumari, formerly known as Cape Comorin, is situated in the state of Tamil Nadu and serves as the southernmost tip of the Indian mainland.
• Geographically, the mainland of India extends from latitude 8°4′N in the south to 37°6′N in the north. Kanyakumari is the specific point where the landmass terminates at the 8°4′N latitude.
• It is a unique geographical location where three major water bodies converge: the Arabian Sea to the west, the Bay of Bengal to the east, and the Indian Ocean to the south.
• While the Indian Union (including islands) extends further south, the term mainland refers strictly to the continuous landmass of the subcontinent, making Kanyakumari the correct geographical answer for this specific distinction.

 Additional Information

• Indira Point:
• Located on the Great Nicobar Island, it is the southernmost point of the entire territory of India.
• It is situated at approximately 6°45′N latitude, which is further south than the mainland.
• It was previously known as Pygmalion Point before being renamed in honour of former Prime Minister Indira Gandhi.
• Extreme Points of India:
• Northernmost Point: Known as Indira Col, located in the Siachen Glacier region of Ladakh.
• Westernmost Point: Located at Ghuar Mota in the Kutch district of Gujarat.
• Easternmost Point: Located at Kibithu in the Anjaw district of Arunachal Pradesh.
• Rameswaram and Kovalam:
• Rameswaram is a major pilgrimage centre and island town in Tamil Nadu, connected to the mainland by the Pamban Bridge.
• Kovalam is a famous coastal town in Kerala known for its beaches but is located north of Kanyakumari.

The correct answer is 4.05.

Key Points

• The Pradhan Mantri Matru Vandana Yojana (PMMVY) is a flagship maternity benefit scheme launched on January 1, 2017, by the Ministry of Women and Child Development.
• The scheme reached a significant milestone by providing maternity benefits to more than 4.05 crore beneficiaries as part of its objective to promote institutional deliveries and provide wage compensation to pregnant women.
• Under the revamped PMMVY 2.0, which is a component of Mission Shakti (specifically the Samarthya sub-scheme), the government has expanded the reach and simplified the application process through the PMMVY Soft Portal.
• The scheme provides a cash incentive of 5,000 rupees in two installments (earlier three) for the first child, and under the new guidelines, it provides 6,000 rupees for the birth of a second girl child in a single installment to improve the Child Sex Ratio.
• The benefits are disbursed directly to the Aadhaar-seeded bank accounts or post office accounts of the beneficiaries through the Direct Benefit Transfer (DBT) mechanism to ensure leak-proof delivery.

 Additional Information

• Target Audience and Eligibility:
• Applicable to Pregnant Women and Lactating Mothers (PW&LM) who are not in regular employment with the Central/State Government or Public Sector Undertakings.
• The scheme focuses on the socially and economically disadvantaged sections of society to ensure nutritional support during pregnancy and lactation.
• Mission Shakti Integration:
• Mission Shakti is an integrated women empowerment program comprising two sub-schemes: Sambal (for safety and security) and Samarthya (for empowerment).
• PMMVY is now strategically aligned with the Janani Suraksha Yojana (JSY), where the total financial assistance often reaches 6,000 rupees or more, depending on the delivery conditions and location.
• Strategic Objectives:
• To provide partial compensation for wage loss so that women can take adequate rest before and after delivery.
• To improve health-seeking behavior, including early registration of pregnancy, Antenatal Care (ANC) check-ups, and immunization of the child.

The correct answer is Tipu Sultan.

Key Points

• Tipu Sultan, the ruler of the Kingdom of Mysore from 1782 to 1799, was famously known as the Tiger of Mysore (Sher-e-Mysore).
• He earned this title following a legendary encounter where he reportedly fought a tiger with a small dagger after his firearm failed, demonstrating exceptional bravery.
• The tiger served as his personal emblem and was ubiquitous throughout his reign, featuring prominently on his throne, banners, uniforms, and even the hammer of his firearms.
• He was the eldest son of Haider Ali and was a formidable adversary to the British East India Company, engaging them in multiple Anglo-Mysore Wars.
• Tipu Sultan is recognized for his military innovations, particularly the development and deployment of iron-cased Mysorean rockets, which were some of the first of their kind used in warfare.
• He died on May 4, 1799, while defending his capital city, Seringapatam (Srirangapatna), during the Fourth Anglo-Mysore War.

 Additional Information

• Haider Ali:
• He was the father of Tipu Sultan and a powerful military commander who became the de facto ruler of Mysore in 1761.
• He successfully led the state during the First Anglo-Mysore War and died during the Second Anglo-Mysore War in 1782.
• Ali Wardi Khan:
• He served as the Nawab of Bengal from 1740 to 1756 and was known for his administrative skills and resistance against Maratha raids.
• He was the grandfather of Siraj-ud-Daulah, who fought the Battle of Plassey.
• Mahadji Shinde:
• A prominent Maratha statesman and ruler of Gwalior who played a pivotal role in the First Anglo-Maratha War.
• He was instrumental in restoring Maratha influence in North India and served as a key advisor to the Peshwa.

The correct answer is 1916.

Key Points

• The Lucknow Pact was a historic agreement reached between the Indian National Congress and the All India Muslim League during a joint session of both parties held in Lucknow in December 1916.
• The pact was instrumental in bridging the gap between the Moderate and Extremist factions of the Congress, who had split earlier during the Surat Session of 1907.
• Key architects of the pact included Bal Gangadhar Tilak representing the Congress and Muhammad Ali Jinnah representing the Muslim League; Jinnah was hailed as the Ambassador of Hindu-Muslim Unity for his efforts.
• As per the agreement, the Congress accepted the system of separate electorates for Muslims in the provincial legislative councils, which was a significant political concession to ensure a united front against British rule.
• The joint memorandum demanded self-government for India at an early date and sought for the Legislative Councils to be expanded with an increased proportion of elected members.

 Additional Information

• Ambica Charan Mazumdar:
• He served as the President of the Lucknow Session of the Congress in 1916, overseeing the formal reunion of the party and the signing of the pact.
• Significant Years in Indian National Movement:
• 1919: This year saw the implementation of the Montagu-Chelmsford Reforms (Government of India Act 1919) and the occurrence of the Jallianwala Bagh Massacre.
• 1925: Notable for the Kanpur Session of the Congress, where Sarojini Naidu became the first Indian woman to preside over the party.
• 1929: The Lahore Session took place under Jawaharlal Nehru, where the resolution for Purna Swaraj (Complete Independence) was passed on the banks of the river Ravi.

The correct answer is A. R. Rahman.

Key Points

• A. R. Rahman, the globally acclaimed Indian composer, made history at the 81^st Academy Awards held in 2009 by winning two Oscars.
• He won his first award for Best Original Score for his work on the film Slumdog Millionaire, which was directed by Danny Boyle.
• The second Oscar was awarded in the category of Best Original Song for the track 'Jai Ho', a victory he shared with the veteran lyricist Gulzar.
• This achievement established A. R. Rahman as the first Indian to win two Academy Awards in a single night, significantly elevating the profile of Indian Music on the international stage.
• The soundtrack of Slumdog Millionaire was praised for its unique fusion of modern electronic beats with traditional Indian instruments, capturing the vibrant essence of Mumbai.

 Additional Information

• Slumdog Millionaire (2008):
• The film is an adaptation of the novel 'Q & A' by the Indian author and diplomat Vikas Swarup.
• At the 2009 Oscars, the movie dominated the ceremony by winning eight Academy Awards out of ten nominations, including Best Picture and Best Director.
• Resul Pookutty, an Indian sound designer, also won an Oscar for Best Sound Mixing for this film in the same year.
• Incorrect Options Context:
• Pritam: A prolific Bollywood music director known for hits like 'Dangal' and 'Ludo', but he has not won an Academy Award.
• Shankar-Ehsaan-Loy: A renowned musical trio known for National Award-winning compositions in films like 'Kal Ho Naa Ho'.
• Vishal-Shekhar: A famous music duo recognized for their work in movies like 'Pathaan' and 'Student of the Year'.

The correct answer is 6.4%.

Key Points

• The International Monetary Fund (IMF), in its World Economic Outlook (WEO) update released in January 2025, has projected India's GDP growth for the calendar year 2025 at 6.4%.
• This projection reflects a slight moderation from the growth rates of previous years, primarily due to the stabilization of domestic demand and the fading of post-pandemic recovery effects.
• Despite the slight slowdown, India remains the fastest-growing major economy in the world, significantly outperforming other large economies like China, the United States, and the Euro Area.
• The IMF credits India's economic resilience to robust public investment in infrastructure, strong private consumption, and a flourishing services sector, particularly in digital and financial services.
• The report emphasizes that structural reforms and the digitalization of the economy have created a stable foundation for long-term sustainable growth amidst global economic uncertainties.

 Additional Information

• International Monetary Fund (IMF):
• Established in 1944 at the Bretton Woods Conference, it is headquartered in Washington, D.C., and comprises 190 member countries.
• Its primary mission is to ensure the stability of the international monetary system, facilitate international trade, and provide financial assistance to countries facing balance of payments crises.
• World Economic Outlook (WEO):
• A flagship publication of the IMF, usually issued twice a year in April and October, with summarized updates in January and July.
• It provides comprehensive analysis and GDP forecasts for global, regional, and individual national economies, serving as a critical benchmark for investors and policymakers.
• Global Growth Context:
• The IMF projected global growth to remain steady but modest at approximately 3.2% in 2025, highlighting risks from geopolitical tensions and persistent inflationary pressures.

Shortcut Trick

Solve using the BODMAS priority: Brackets first, then Multiplication.

Value of bracket (47 + 11) = 58.

Value of multiplication 49 × 2 = 98.

Final calculation: 53 + 72 − 36 + 98 − 58 = 129.

∴ The correct answer is 129.

Alternate Method

Given: 53 + 72 − 36 + 49 × 2 − (47 + 11)

The BODMAS rule defines the order of operations as Brackets, Orders, Division, Multiplication, Addition, and Subtraction.

⇒ 53 + 72 − 36 + 49 × 2 − 58 (Solving Bracket)

⇒ 53 + 72 − 36 + 98 − 58 (Performing Multiplication)

⇒ 125 − 36 + 98 − 58 (Addition/Subtraction from left to right)

⇒ 89 + 98 − 58

⇒ 187 − 58

⇒ 129

∴ The correct answer is 129.

Additional Information

BODMAS Rule

Standard order: Brackets (), Of/Orders (x², √), Division (÷), Multiplication (×), Addition (+), and Subtraction (−).

Priority of Brackets

Always simplify terms inside brackets first. If there are multiple types, follow the order: Parentheses (), then Braces {}, then Brackets [].

VBODMAS

An extended version where 'V' stands for Vinculum (a bar bracket over numbers), which has the highest priority before parentheses.

Shortcut Trick

Perform calculations using the BODMAS order: Brackets, Of, Division, Addition/Subtraction.

Solve 36 ÷ 3 = 12 and 28 of 1 = 28.

Substitute back: 93 − 47 + 19 + 12 + 28 − 21.

Combine positive terms: 93 + 19 + 12 + 28 = 152.

Combine negative terms: −47 − 21 = −68.

Final result: 152 − 68 = 84.

∴ The correct answer is 84.

Alternate Method

Given: 93 − 47 + 19 + 36 ÷ 3 + (28 of 1) − 21

The BODMAS rule states the sequence of operations as Brackets, Of (Orders), Division, Multiplication, Addition, and Subtraction.

⇒ 93 − 47 + 19 + 36 ÷ 3 + 28 − 21 (Solving 'of')

⇒ 93 − 47 + 19 + 12 + 28 − 21 (Solving Division)

⇒ (93 + 19 + 12 + 28) − (47 + 21) (Group Addition and Subtraction separately)

⇒ 152 − 68

⇒ 84

∴ The correct answer is 84.

Additional Information

BODMAS Rule

It is a mnemonic used to remember the order of operations in calculations: Brackets, Orders (powers/roots), Division, Multiplication, Addition, and Subtraction.

The 'Of' Operation

In mathematical expressions, 'of' acts as multiplication but is calculated after brackets and before division in the priority list.

Order of Addition and Subtraction

Addition and Subtraction are at the same priority level. For consistent results, they should be solved from left to right.

Shortcut Trick

Identify perfect squares: 225 is 15² and 4 is 2².

Equalize decimal places inside the root: √(0.0225 ÷ 0.0400).

Remove decimals: √(225 ÷ 400) = 15 ÷ 20.

Simplify: 15 ÷ 20 = 0.75.

∴ The correct answer is 0.75.

Alternate Method

Given: √(0.0225 ÷ 0.04)

Method: Convert decimals to fractions to simplify the square root expression.

⇒ √((225 ÷ 10000) ÷ (4 ÷ 100))

⇒ √((225 ÷ 10000) × (100 ÷ 4))

⇒ √(225 ÷ 400)

⇒ √225 ÷ √400

⇒ 15 ÷ 20

⇒ 3 ÷ 4

⇒ 0.75

∴ The correct answer is 0.75.

Additional Information

Square Root of Decimals

The square root of a decimal with 'n' decimal places will always result in a number with 'n/2' decimal places, provided the digits form a perfect square.

Division of Decimals

When dividing decimals, it is easier to multiply both the numerator and denominator by a power of 10 (like 100 or 10000) to remove the decimal points before calculation.

Perfect Squares to Remember

Memorizing squares up to 25 (e.g., 15² = 225, 25² = 625) significantly speeds up simplification and root-finding tasks.

Shortcut Trick

Recognize the expression as the algebraic identity: a² + b² + 2ab = (a + b)².

Let a = 4.10 and b = 1.90.

Verify the middle term: 2 × a × b = 2 × 4.10 × 1.90 = 2 × 7.79 = 15.58.

Expression = (4.10 + 1.90)² = (6.00)² = 36.00.

∴ The correct answer is 36.00.

Alternate Method

Given: 4.10 × 4.10 + 1.90 × 1.90 + 15.58

Method: Perform multiplication and addition as per BODMAS rules.

⇒ (4.10 × 4.10) + (1.90 × 1.90) + 15.58

⇒ 16.81 + 3.61 + 15.58

⇒ 20.42 + 15.58

⇒ 36.00

∴ The correct answer is 36.00.

Additional Information

Algebraic Identities

(a + b)² = a² + 2ab + b² and (a − b)² = a² − 2ab + b² are fundamental expansion rules.

BODMAS Rule

The order of operations: Brackets, Orders, Division, Multiplication, Addition, and Subtraction.

Difference of Squares

a² − b² = (a − b)(a + b), which is useful for simplifying products of numbers centered around a mean.

Shortcut Trick

Product of diagonals = 2 × Area

20 × d₂ = 2 × 180

d₂ = 360 ÷ 20 = 18 cm

Ratio = 20 : 18 = 10 : 9

∴ The correct answer is 10 : 9.

Alternate Method

Given:

⇒ Area of rhombus = 180 cm²

⇒ First Diagonal (d₁) = 20 cm

Formula Used:

Area = (1/2) × d₁ × d₂

Calculations:

⇒ 180 = (1/2) × 20 × d₂

⇒ 180 = 10 × d₂

⇒ d₂ = 180 ÷ 10 = 18 cm

⇒ Required Ratio = d₁ : d₂

⇒ Ratio = 20 : 18 = 10 : 9

∴ The correct answer is 10 : 9.

Additional Information

Side of Rhombus

The side 'a' of a rhombus can be calculated using diagonals: a = (1/2) × √(d₁² + d₂²).

Perimeter of Rhombus

Since all sides are equal, the perimeter is given by 4 × side.

Diagonal Properties

The diagonals of a rhombus always bisect each other at right angles (90°).

Shortcut Trick

The side of the rhombus = 100 ÷ 4 = 25 cm.

The half of the given diagonal = 30 ÷ 2 = 15 cm.

Since diagonals bisect at 90°, we use the Pythagorean triple (3, 4, 5) scaled by 5: (15, 20, 25).

The other half-diagonal is 20 cm.

The total length of the other diagonal = 20 × 2 = 40 cm.

∴ The correct answer is 40 cm.

Alternate Method

Given: Perimeter = 100 cm and Diagonal (d₁) = 30 cm.

Formula Used:

1. Side (a) = Perimeter ÷ 4
2. a² = (d₁/2)² + (d₂/2)²

Calculations:

⇒ Side (a) = 100 ÷ 4 = 25 cm

⇒ Half of first diagonal = 30 ÷ 2 = 15 cm

⇒ Let the other half diagonal be x.

⇒ In right-angled triangle AOB: AO² + OB² = AB²

⇒ 15² + x² = 25²

⇒ 225 + x² = 625

⇒ x² = 625 − 225

⇒ x² = 400

⇒ x = √400 = 20 cm

⇒ Length of other diagonal (d₂) = 2 × x = 2 × 20 = 40 cm

∴ The correct answer is 40 cm.

Additional Information

Area of Rhombus

The area can be calculated using diagonals: Area = 1/2 × d₁ × d₂.

Relationship between Side and Diagonals

The formula relating side (a) and diagonals is: 4a² = d₁² + d₂².

Diagonals Property

In a rhombus, diagonals bisect each other at right angles (90°) and also bisect the vertex angles.

Shortcut Trick

To find the Least Common Multiple (LCM) of three numbers, we use the property: LCM(A, B, C) = LCM(LCM(A, B), C).

Given LCM(A, B) = 36 and C = 24.

We simply need to find LCM(36, 24).

List multiples of the larger number (36): 36, 72...

Since 72 is exactly divisible by 24 (24 × 3 = 72), the LCM is 72.

∴ The correct answer is 72.

Alternate Method

Given:

LCM of A and B = 36

Value of C = 24

Formula Used:

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

Calculations:

⇒ We need to calculate the LCM of 36 and 24 using Prime Factorization.

⇒ 36 = 2 × 2 × 3 × 3 = 2² × 3²

⇒ 24 = 2 × 2 × 2 × 3 = 2³ × 3¹

⇒ LCM is the product of the highest powers of all prime factors involved.

⇒ LCM = 2³ × 3²

⇒ LCM = 8 × 9

⇒ LCM = 72

∴ The correct answer is 72.

Additional Information

Relation between LCM and HCF

For any two numbers 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

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

Co-prime Numbers

If two numbers are co-prime (HCF = 1), their LCM is simply the product of the two numbers.

Shortcut Trick

The Least Common Multiple (LCM) of any set of numbers must always be exactly divisible by their Highest Common Factor (HCF).

Given HCF = 12, we check which option is a multiple of 12.

144 ÷ 12 = 12 (Remains 0).

Since 144 is the only option divisible by 12, it can be the LCM.

∴ The correct answer is 144.

Alternate Method

Given:

HCF of two numbers = 12

Property Used:

If two numbers are 12x and 12y (where x and y are coprime), then their LCM = 12 × x × y.

Calculations:

⇒ Let the numbers be a and b.

⇒ a = 12p and b = 12q (where p, q are integers).

⇒ LCM(a, b) = 12 × LCM(p, q).

⇒ This implies LCM must be divisible by 12.

⇒ Option 1: 130 ÷ 12 = 10.83 (Not an integer)

⇒ Option 2: 110 ÷ 12 = 9.16 (Not an integer)

⇒ Option 3: 144 ÷ 12 = 12 (Integer)

⇒ Option 4: 95 ÷ 12 = 7.91 (Not an integer)

∴ The correct answer is 144.

Additional Information

Product Rule of HCF and LCM

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

HCF of Coprime Numbers

If two numbers are coprime, their Highest Common Factor is always 1, and their LCM is simply the product of the two numbers.

HCF and LCM of Fractions

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

Shortcut Trick

A is 30% less than B, which means A is 70% of B.

70% of B = 630

100% of B = (630 ÷ 70) × 100

Value of B = 9 × 100 = 900

∴ The correct answer is 900.

Alternate Method

Given:

Value of A = 630

Relationship: A = B − 30% of B

Formula used:

Value = Base × (100 − % Decrease) ÷ 100

Calculations:

⇒ 630 = B × (100 − 30) ÷ 100

⇒ 630 = B × (70 ÷ 100)

⇒ 630 = B × 0.7

⇒ B = 630 ÷ 0.7

⇒ B = 900

∴ The correct answer is 900.

Additional Information

Percentage Change Formula

Percentage Change = (Difference ÷ Original Value) × 100.

Base Comparison Rule

If A is x% less than B, then B is [x ÷ (100 − x)] × 100% more than A.

Multiplier Method

A 30% decrease corresponds to a multiplying factor of 0.70, while a 30% increase corresponds to 1.30.

Shortcut Trick

Express the relation as a Ratio: A : B = 1 : 4.

The difference between B and A is 4 − 1 = 3 units.

Percentage less = (Difference / Base value B) × 100.

⇒ (3 / 4) × 100 = 75%.

∴ The correct answer is 75%.

Alternate Method

Given:

Relation: A = (1/4) × B

Formula Used:

Percentage Less = [(Value 1 − Value 2) / Value 1] × 100

Calculations:

⇒ Let the value of B = 100

⇒ Value of A = (1/4) × 100 = 25

⇒ Difference between B and A = 100 − 25 = 75

⇒ Percentage by which A is less than B = (Difference / B) × 100

⇒ Percentage Less = (75 / 100) × 100

⇒ Percentage Less = 75%

∴ The correct answer is 75%.

Additional Information

Percentage Change Formula

Percentage change is calculated as [|New Value − Old Value| / Old Value] × 100. The denominator is always the reference (base) value.

Fraction to Percentage Conversion

Common fractions like 1/4 = 25%, 1/2 = 50%, and 3/4 = 75% are helpful for quick quantitative aptitude calculations.

Base Value Rule

In the phrase 'A is less than B', B is the base value. In 'B is more than A', A becomes the base value.

Shortcut Trick

In a transaction involving a loss, the difference between Cost Price (CP) and Selling Price (SP) is the absolute loss.

Given Loss Percentage = 20% and Difference (Loss) = ₹520.

20% of CP = ₹520

100% of CP = 520 × (100 ÷ 20) = 520 × 5 = ₹2600

∴ The correct answer is ₹2600.

Alternate Method

Given:

Difference (CP − SP) = ₹520

Loss Percentage = 20%

Formula Used:

Loss = CP − SP

Loss % = (Loss ÷ CP) × 100

Calculations:

⇒ Let the Cost Price of the article be ₹x.

⇒ Loss = 20% of x = 0.20x

⇒ We know that CP − SP = Loss

⇒ Given, CP − SP = 520

⇒ 0.20x = 520

⇒ x = 520 ÷ 0.20

⇒ x = (520 × 100) ÷ 20

⇒ x = 520 × 5 = 2600

∴ The correct answer is ₹2600.

Additional Information

Profit and Loss Basic Formulas

Profit = Selling Price (SP) − Cost Price (CP) when SP > CP. Loss = Cost Price (CP) − Selling Price (SP) when CP > SP.

Calculating CP from SP and Loss%

CP = [SP ÷ (100 − Loss%)] × 100. This is used when the final selling price and loss percentage are known.

Marked Price and Discount

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

Shortcut Trick

The Loss percentage (16%) represents the difference between Cost Price (CP) and Selling Price (SP).

16% of CP = ₹420

1% of CP = 420 ÷ 16 = 26.25

100% (Cost Price) = 26.25 × 100 = ₹2625

∴ The correct answer is ₹2625.

Alternate Method

Given:

Difference (CP − SP) = ₹420

Loss Percentage = 16%

Formula Used:

Loss = Cost Price − Selling Price

Loss% = (Loss ÷ CP) × 100

Calculations:

⇒ Loss % = (Loss ÷ CP) × 100

⇒ 16 = (420 ÷ CP) × 100

⇒ CP = (420 × 100) ÷ 16

⇒ CP = 42000 ÷ 16

⇒ CP = ₹2625

∴ The correct answer is ₹2625.

Additional Information

Profit Percentage

Profit occurs when SP > CP. It is calculated as Profit% = [(SP − CP) ÷ CP] × 100.

Selling Price in Case of Loss

When an article is sold at a loss, the Selling Price is given by: SP = CP × (100 − Loss%) ÷ 100.

Relation between CP and Loss

The absolute Loss value is always the product of the Cost Price and the Loss fraction (Loss% ÷ 100).

Shortcut Trick

Daily efficiency of A = 40% ÷ 8 = 5% per day.

Work completed in 15 days = 15 × 5% = 75%.

∴ The correct answer is 75%.

Alternate Method

Given: A completes 40% work in 8 days.

Total time for 100% work = 8 × (100 ÷ 40) = 20 days.

⇒ Work done by A in 15 days = Efficiency × Time

⇒ Work = 5 × 15 = 75 units

⇒ Percentage = (75 ÷ 100) × 100% = 75%

∴ The correct answer is 75%.

Additional Information

Work Rate Formula

Total Work = Efficiency × Time. Efficiency is the amount of work done in 1 unit of time.

Unitary Method in Work

If a person does 1/n part of a work in one day, they will take 'n' days to complete the full work.

Percentage Work Relation

Work done is directly proportional to the time taken when efficiency remains constant (W₁/T₁ = W₂/T₂).

Shortcut Trick

Ratio of work done by A and B = (6 × 3) : (4 × 5) = 18 : 20 = 9 : 10

Total wage units = 9 + 10 = 19 units

Given, 19 units = ₹4408

Difference in shares = (10 − 9) = 1 unit = 4408 ÷ 19 = ₹232

∴ The correct answer is ₹232.

Alternate Method

Given:

Days worked by A = 6 days, Days worked by B = 4 days

Efficiency of A = 3 units/day, Efficiency of B = 5 units/day

Total wages = ₹4408

Formula Used:

Total Work = Time × Efficiency

Share of Wage ∝ Total Work Done

Calculations:

⇒ Total work done by A = 6 × 3 = 18 units

⇒ Total work done by B = 4 × 5 = 20 units

⇒ Total work = 18 + 20 = 38 units

⇒ Wage for 38 units = ₹4408

⇒ Wage for 1 unit = 4408 ÷ 38 = ₹116

⇒ Difference in shares = 20 − 18 = 2 units

⇒ Required difference = 2 × 116 = ₹232

∴ The correct answer is ₹232.

Additional Information

Wage Distribution Principle

Wages are always distributed in the ratio of the total work done by each person, which is the product of their efficiency and the time they worked.

Efficiency and Time Relationship

If the work is constant, efficiency is inversely proportional to the time taken. Efficiency = Work ÷ Time.

Work & Wages in Partnership

Similar to partnership investments, where Profit = Capital × Time, in work problems, Wage = Efficiency × Time.

Shortcut Trick

Total Distance covered when a train crosses a bridge = Length of Train + Length of Bridge.

Distance = Speed × Time

Total Distance = 15 m/s × 65 s = 975 m.

Length of Train = Total Distance − Bridge Length = 975 − 500 = 475 m.

∴ The correct answer is 475 m.

Alternate Method

Given:

Speed of the train = 15 m/s

Length of the Bridge = 500 m

Time taken to cross the bridge = 65 s

Formula Used:

Total Distance (D) = Speed (s) × Time (t)

When a train crosses a platform or a bridge, the total distance is the sum of the length of the train and the bridge.

Calculations:

⇒ Total Distance = Speed × Time

⇒ (Length of Train + Length of Bridge) = 15 × 65

⇒ Length of Train + 500 = 975

⇒ Length of Train = 975 − 500

⇒ Length of Train = 475 m

∴ The correct answer is 475 m.

Additional Information

Crossing a Stationary Point Object

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

Speed Conversion

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

Relative Speed

When two objects move in the opposite direction, relative speed is the sum of their speeds (s₁ + s₂). In the same direction, it is the difference (s₁ − s₂).

Shortcut Trick

Upstream Speed = 80 ÷ 8 = 10 km/hr

Downstream Speed = 80 ÷ 4 = 20 km/hr

Speed of Boat in Still Water = (Downstream Speed + Upstream Speed) ÷ 2

Still Water Speed = (20 + 10) ÷ 2 = 30 ÷ 2 = 15 km/hr

∴ The correct answer is 15 km/hr.

Alternate Method

Given:

Distance (D) = 80 km

Upstream Time (t_u) = 8 hr

Downstream Time (t_d) = 4 hr

Formula Used:

Speed = Distance ÷ Time

If speed of boat is x and speed of stream is y:

Downstream Speed = x + y

Upstream Speed = x − y

⇒ Upstream speed (x − y) = Distance ÷ Upstream Time

⇒ x − y = 80 ÷ 8 = 10 km/hr ---- (i)

⇒ Downstream speed (x + y) = Distance ÷ Downstream Time

⇒ x + y = 80 ÷ 4 = 20 km/hr ---- (ii)

⇒ Adding (i) and (ii): (x − y) + (x + y) = 10 + 20

⇒ 2x = 30

⇒ x = 30 ÷ 2 = 15 km/hr

∴ The correct answer is 15 km/hr.

Additional Information

Speed of Current (Stream)

The speed of the current can be calculated as: y = (Downstream Speed − Upstream Speed) ÷ 2.

Relative Speed in Water

While moving Downstream, the speeds of the boat and the water add up, whereas in Upstream, the water speed is subtracted from the boat speed.

Average Speed of Boat

Average speed for the total journey = (2 × Downstream × Upstream) ÷ (Downstream + Upstream).

Shortcut Trick

Initial Ratio A : B = 7 : 5 (Difference = 2 parts)

New Ratio A : B = 4 : 3 (Difference = 1 part)

Multiply new ratio by 2 to equate difference: 8 : 6

Increase in each part = 8 − 7 = 1 unit → 3

Sum of initial parts = 7 + 5 = 12 units

Total Initial Sum = 12 × 3 = 36

∴ The correct answer is 36.

Alternate Method

Given initial ratio of Numbers A and B is 7 : 5.

Let the common multiplier be x. So, A = 7x and B = 5x.

According to the question, when both numbers are increased by 3:

⇒ (7x + 3) / (5x + 3) = 4 / 3

⇒ 3 × (7x + 3) = 4 × (5x + 3)

⇒ 21x + 9 = 20x + 12

⇒ 21x − 20x = 12 − 9

⇒ x = 3

Initial Values:

⇒ A = 7 × 3 = 21

⇒ B = 5 × 3 = 15

⇒ Sum of A and B = 21 + 15 = 36

∴ The correct answer is 36.

Additional Information

Ratio Balancing Method

When the same value is added or subtracted from both terms, the difference between the terms remains proportional. Equating the differences simplifies calculation.

Compound Ratio

The compound ratio of two ratios (a : b) and (c : d) is (ac : bd), obtained by multiplying corresponding terms.

Duplicate and Triplicate Ratios

The duplicate ratio of a : b is a² : b², and the triplicate ratio is a³ : b³.

Shortcut Trick

Let Selling Price (SP) = 11 units.

Discount = 9/11 × 11 = 9 units ⇒ Marked Price (MP) = 11 + 9 = 20 units.

Profit = 20% ⇒ Cost Price (CP) = 11 ÷ 1.2 = 55/6 units.

Ratio MP : CP = 20 : (55/6) = 120 : 55 = 24 : 11.

∴ The correct answer is 24 : 11.

Alternate Method

Given:

Profit % = 20%

Discount = 9/11 × Selling Price (SP)

Formula Used:

SP = CP × (100 + Profit%)/100

MP = SP + Discount

Calculations:

⇒ Let CP = 100x

⇒ SP = 100x + 20% of 100x = 120x

⇒ Discount = (9/11) × 120x = 1080x/11

⇒ MP = SP + Discount

⇒ MP = 120x + 1080x/11

⇒ MP = (1320x + 1080x) ÷ 11 = 2400x/11

⇒ Ratio MP : CP = (2400x/11) ÷ 100x

⇒ Ratio MP : CP = 2400 ÷ 1100 = 24 : 11

∴ The correct answer is 24 : 11.

Additional Information

Relationship between CP and MP

The ratio of Marked Price to Cost Price can also be calculated using the formula: MP/CP = (100 + Profit%)/(100 − Discount%).

Discount Percentage

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

Profit and Selling Price

Selling Price is the final amount after adding Profit to CP or subtracting Discount from MP.

Shortcut Trick

Price after the first 10% discount = 3000 − (10% of 3000) = ₹2700.

The article is finally sold for ₹1890.

Value of second discount (A) = [(2700 − 1890) ÷ 2700] × 100.

A = (810 ÷ 2700) × 100 = 30.

∴ The correct answer is 30.

Alternate Method

Given:

Marked Price (MP) = ₹3000

Final Selling Price (SP) = ₹1890

Successive Discounts = 10% and A%

Formula:

SP = MP × (1 − d₁/100) × (1 − d₂/100)

Calculations:

⇒ 1890 = 3000 × (1 − 10/100) × (1 − A/100)

⇒ 1890 = 3000 × (90/100) × (100 − A)/100

⇒ 1890 = 3000 × 0.9 × (100 − A)/100

⇒ 1890 = 2700 × (100 − A)/100

⇒ 1890 = 27 × (100 − A)

⇒ 100 − A = 1890 ÷ 27

⇒ 100 − A = 70

⇒ A = 100 − 70 = 30

∴ The correct answer is 30.

Additional Information

Single Equivalent Discount

For two successive discounts d₁% and d₂%, the single equivalent discount is calculated as (d₁ + d₂ − d₁d₂/100)%.

Relationship between MP and SP

Selling Price is always calculated on the Marked Price after deducting the discount: SP = MP × (100 − Discount%) / 100.

Successive Multiplier Method

Final SP = MP × f₁ × f₂, where f is the multiplying factor (e.g., for 10% discount, f = 0.9).

Shortcut Trick

For four numbers in proportion (a : b :: c : d), the fourth proportional is found using: d = (b × c) ÷ a.

X = (5 × 20) ÷ 25

X = 100 ÷ 25 = 4

∴ The correct answer is 4.

Alternate Method

Given: The numbers 25, 5, 20, and X are in proportion.

Formula Used: If four numbers a, b, c, and d are in proportion, then the ratio of the first two is equal to the ratio of the last two: a/b = c/d (also expressed as product of extremes = product of means).

Calculations:

⇒ 25 ÷ 5 = 20 ÷ X

⇒ 5 = 20 ÷ X

⇒ 5 × X = 20

⇒ X = 20 ÷ 5

⇒ X = 4

∴ The correct answer is 4.

Additional Information

Fourth Proportion

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

Mean Proportion

The mean proportional between two numbers a and b is the square root of their product: Mean = √(a × b).

Continued Proportion

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

Third Proportion

In a continued proportion a : b :: b : c, c is the third proportional and is given by c = b² ÷ a.

The correct answer is: Noticeably superior to others within the same category.

Key Points

• The idiom 'a cut above' refers to someone or something that is of a higher quality or standard than others of the same kind. (दूसरों से बेहतर या श्रेष्ठ)
• Example: The quality of service at this five-star hotel is a cut above the rest in the city.
• 'Noticeably superior to others within the same category' means being distinctly better than similar people or things in a particular group. (एक ही श्रेणी के अन्य लोगों की तुलना में काफी बेहतर)
• Example: Her performance in the competition was noticeably superior to the other contestants.
• Hence, we can infer that the meaning of the idiom 'a cut above' is 'noticeably superior to others within the same category'.

Therefore, the correct answer is: Noticeably superior to others within the same category.

Additional Information

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

• Suited to or capable of doing some activity or task (किसी कार्य के लिए उपयुक्त): This describes having the right qualities or being appropriate for a specific role or job.
• Example: He realized early in his career that he was not suited to a desk job.
• To cause a lot of damage or suffering in a specific area or population (भारी तबाही या कष्ट पहुँचाना): This refers to an event or action that leads to significant destruction or pain.
• Example: The civil war continued to cause a lot of suffering in the northern region.
• To garner attention (ध्यान आकर्षित करना): To collect or gather interest and focus from an audience or the public.
• Example: The innovative marketing campaign managed to garner attention worldwide.

The correct answer is: Until it is no longer possible to continue with some activity or pursuit.

Key Points

• The idiom 'until the wheels fall off' means to continue doing something for as long as possible, or until it can no longer be done due to exhaustion, failure, or reaching a natural end. (जब तक संभव हो या अंत तक)
• Example: They promised to work on their startup until the wheels fall off.
• 'Until it is no longer possible to continue with some activity or pursuit' correctly defines the idiom, emphasizing the idea of persisting until the very limit of possibility. (जब तक किसी गतिविधि या कार्य को जारी रखना संभव न हो)
• Example: The band decided they would keep touring until the wheels fall off.
• Hence, we can infer that the meaning of the idiom 'until the wheels fall off' is to continue an activity until it is no longer possible.

Therefore, the correct answer is: Until it is no longer possible to continue with some activity or pursuit.

Additional Information

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

• To use something until it is destroyed (किसी चीज़ का तब तक उपयोग करना जब तक वह नष्ट न हो जाए): This refers to the literal physical destruction of an object through use.
• Example: He used his hiking boots until they were completely destroyed and unwearable.
• Play a toy till it is broken (खिलौने से तब तक खेलना जब तक वह टूट न जाए): A literal action usually associated with children and their toys.
• Example: The toddler played with the toy car till it was broken into pieces.
• Do until one is exhausted (थकने तक काम करना): To work or perform an activity until one has no energy left.
• Example: The athlete continued to train until he was completely exhausted.

The correct answer is: Favoured.

Key Points

• The word Fortunate refers to someone who is favored by or involving good luck or fortune; lucky. (भाग्यशाली)
• Example: He felt very fortunate to have such a supportive family during his difficult times.
• Favoured means being treated with preference or being blessed with better circumstances and luck. (पसंदीदा/भाग्यशाली)
• Example: As the favoured candidate for the promotion, she received the most attention from the board.
• Hence, we can infer that the closest synonym of Fortunate is Favoured.

Therefore, the correct answer is: Favoured.

Additional Information

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

• Unlucky (दुर्भाग्यपूर्ण): Having, bringing, or resulting from bad luck.
• Example: It was unlucky for the team to lose their star player just before the final match.
• Sad (उदास): Feeling or showing sorrow; unhappy.
• Example: The children were sad when their summer vacation came to an end.
• Common (सामान्य): Occurring, found, or done often; prevalent.
• Example: It is a common belief that drinking tea can help soothe a sore throat.

The correct answer is: Treacherous.

Key Points

• The word 'Trecherous' is misspelt, as it is an incorrect spelling of the word 'Treacherous' which means guilty of or involving betrayal or deception, or presenting hidden or unpredictable dangers. (विश्वासघाती)
• Example: He gave a trecherous (incorrect spelling) smile before betraying his ally.
• 'Treacherous' is the correct spelling, which refers to someone or something that is untrustworthy, unfaithful, or full of danger and hazards. (विश्वासघाती / खतरनाक)
• Example: The sailors had to navigate through treacherous waters to reach the safe harbor.
• Hence, we can infer that the misspelt word among the options is 'Treacherous'.

Therefore, the correct answer is: Treacherous.

Additional Information

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

• Transcendent (उत्कृष्ट): Beyond or above the range of normal or physical human experience; exceptional or supreme.
• Example: The orchestra performed with a transcendent beauty that moved the entire audience to tears.
• Triumphant (विजयी): Having won a battle or contest; victorious.
• Example: The team made a triumphant return to their home country after winning the championship.
• Transgression (उल्लंघन): An act that goes against a law, rule, or code of conduct; an offense.
• Example: Forgiving someone for their transgression can be a difficult but healing process.

The correct answer is: Tuttelage.

Key Points

• The word 'Tuttelage' is the misspelt version of the intended word. (गलत वर्तनी)
• Example: The editor circled the word 'Tuttelage' and noted that it contained an unnecessary extra 't'.
• 'Tutelage' is the correct spelling, referring to the protection of or authority over someone or something; guardianship or instruction. (संरक्षण/शिक्षा)
• Example: The young artist developed her unique style under the tutelage of a master painter.
• Hence, we can infer that the misspelt word is 'Tuttelage'.

Therefore, the correct answer is: Tuttelage.

Additional Information

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

• Territorial (प्रादेशिक/क्षेत्रीय): Relating to the ownership of a particular area of land or sea.
• Example: The two neighboring states have been locked in a territorial dispute for many years.
• Tenacious (दृढ़/अटल): Tending to keep a firm hold of something; persistent and not easily discouraged.
• Example: The tenacious defense attorney refused to give up until the truth was revealed.
• Tranquillity (शांति): The quality or state of being calm, quiet, and peaceful.
• Example: Many people visit the mountains to experience the tranquillity of nature away from the city.

The correct answer is: Painless.

Key Points

• The word 'Aching' refers to a continuous or prolonged dull pain in a part of one's body. (दर्द होना)
• Example: After walking for ten miles in new shoes, his feet were aching.
• 'Painless' refers to something that does not cause or involve any physical pain; it is the opposite of experiencing pain or aching. (पीड़ारहित)
• Example: The dentist used a special numbing gel to ensure the filling was completely painless.
• Hence, we can infer that the opposite of 'aching' is 'painless'.

Therefore, the correct answer is- Painless.

Additional Information

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

• Sore (दुखता हुआ): A part of one's body that is painful or aching, often due to injury or infection.
• Example: Her throat was sore, making it difficult for her to swallow.
• Hurting (दर्द करना): The act of causing physical pain or injury, or the feeling of being in pain.
• Example: Stop pulling my hair; you are hurting me!
• Throbbing (टीस मारना): A strong, regular, and rhythmic pain, similar to a heartbeat.
• Example: He woke up with a throbbing headache after a restless night.

The correct answer is: Ostracism.

Key Points

• The phrase 'Exclusion from a society or group' refers to the act of deliberately keeping someone out or preventing them from participating in social activities. (किसी समाज या समूह से बहिष्कार)
• Example: In many ancient cultures, the exclusion from a society or group was a punishment worse than physical harm.
• 'Ostracism' is the term used to describe the intentional exclusion or banishment of an individual from social acceptance by common consent. (बहिष्कार)
• Example: His controversial actions led to his complete ostracism by his neighbors and colleagues.
• Hence, we can infer that 'Ostracism' is the most suitable one-word substitution for the given phrase.

Therefore, the correct answer is- Ostracism.

Additional Information

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

• Dichotomy (द्विभाजन): A division or contrast between two things that are or are represented as being opposed or entirely different.
• Example: There is a strict dichotomy between the two political ideologies presented in the debate.
• Abnegation (अस्वीकार): The act of renouncing or rejecting something, especially a right, possession, or self-interest.
• Example: His abnegation of all worldly wealth to join the monastery surprised his family.
• Solipsism (अहंवाद): The philosophical theory that only the self exists or can be known to exist.
• Example: His worldview was a form of solipsism, leading him to believe that the entire universe was just a dream of his own mind.

The correct answer is ''.

Key Points

The preposition 'on' (or 'upon'), when followed by a gerund (the -ing form of a verb), is used to indicate that an action happens immediately after or as a result of another event. In this context, 'on hearing' means 'as soon as she heard' or 'at the moment she heard' the news. The sentence describes a sudden reaction to an event, which is the standard usage for this prepositional structure.

Therefore, the correct answer is Option 2.

Complete Sentence: 'On hearing the news, Mrs. White fell to the ground.'

Additional Information

Option 1: 'In' is generally used to denote location, position, or time periods and does not fit the context of an immediate reaction to a specific event. Option 3: 'Under' usually refers to a physical position below something or being subject to a condition (e.g., under pressure) and is grammatically incorrect in this phrase. Option 4: 'For' is used to indicate purpose, reason, or duration, which does not convey the intended meaning of a temporal sequence in this sentence.

The correct answer is Had the software team corrected the technical errors before the product launch?.

Key Points

• The original sentence is in the Passive Voice and follows the Past Perfect Tense in its Interrogative Form. The passive structure for this tense is: Had + Object + been + V3 (Past Participle) + by + Subject?
• To transform this into the Active Voice, the Agent of the action (the software team) must move to the subject position, and the Recipient of the action (the technical errors) must move to the object position.
• The Active Voice structure for an interrogative sentence in the Past Perfect Tense is: Had + Subject + V3 (Past Participle) + Object?
• In this conversion, the auxiliary been is removed as it is only a marker for the passive construction. The main verb corrected remains in its Past Participle (V3) form.
• The resulting sentence, Had the software team corrected the technical errors before the product launch?, maintains the same chronological sequence and tense consistency as the original question.

 Additional Information

• Grammatical Tense Analysis:
• Simple Past (Did): Used for actions that were completed at a specific time in the past. Using did would require the base form of the verb correct, which changes the tense of the original query.
• Present Perfect (Has/Have): Connects a past action to the present moment. Using has would be grammatically incorrect because the original context is set entirely in the past before a product launch.
• Past Continuous (Was/Were + V-ing): Focuses on the duration or ongoing nature of a past action. This changes the aspect from a completed action (perfect) to an ongoing one (continuous).
• Past Perfect Usage: Specifically used to emphasize that one action was completed before another action or point in the past (the product launch).

The correct answer is Take the injured man to the hospital at once..

Key Points

• The original sentence is in the Passive Voice. This is identified by the structure: Subject (The injured man) + Modal Verb (must) + be + Past Participle (taken).
• When a passive sentence expresses an urgent command, advice, or instruction and does not mention a specific agent (the doer of the action), it is commonly converted into the Active Voice using the Imperative Mood.
• An Imperative Sentence in the active voice typically begins with the Base Form of the Verb (V1). In this case, the verb is Take.
• The subject 'you' is implied in imperative sentences, making it the most suitable active equivalent for a general instruction starting with 'must be'. Hence, the structure becomes: Verb (Take) + Object (the injured man) + Prepositional Phrase (to the hospital at once).

 Additional Information

• Active vs. Passive Voice:
• Active Voice: The subject performs the action (e.g., 'Take the man'). It is direct and clear.
• Passive Voice: The subject receives the action (e.g., 'The man must be taken'). It is often used when the actor is unknown or less important than the action itself.
• Analysis of Incorrect Options:
• Option 1: This uses 'must be taken' which is a Passive Voice construction; adding 'You' as a subject before it creates a grammatical error.
• Option 2: This incorrectly identifies the hospital as the agent (the one doing the taking/carrying), whereas the hospital is actually the destination.
• Option 4: This uses the 'Let + Object + be + V3' structure, which is another way to form the Passive Voice for imperative sentences. It does not fulfill the requirement for Active Voice.

The correct answer is 'for'.

Key Points

• The adjective 'responsible' is followed by the preposition 'for' when it refers to being in charge of a duty, task, or obligation.
• In the given sentence, the task is 'keeping the house neat and clean'. Therefore, the preposition 'for' is the grammatically correct choice.
• The fixed expression is responsible for + something/doing something.

Therefore, the correct answer is Option 2.

Complete Sentence: 'The servants were responsible for keeping the house neat and clean.'

Additional Information

• Responsible to: This preposition is used when someone is accountable to a person or authority (e.g., 'The manager is responsible to the director').
• Options 3 and 4: 'About' and 'on' are not used with the word 'responsible' to denote duty or accountability.

The correct answer is hang by a thin thread.

Key Points

• The expression 'hang by a thread' (or 'hang by a thin thread') is a fixed idiomatic phrase in English, meaning to be in a very dangerous, uncertain, or precarious situation.
• In this idiom, the preposition 'by' is mandatory. It indicates the means or the slender connection by which a person or object is suspended above disaster or failure.
• The original sentence used the preposition 'on', which is grammatically incorrect for this specific figurative expression; idiomatic accuracy requires 'by' to convey the intended meaning of instability.
• Using 'hang by a thin thread' correctly illustrates that the economy is at high risk of collapsing due to the negative impact of unchecked corruption.

 Additional Information

• Etymology and Origin:
• This idiom is widely believed to originate from the legend of Damocles, where a king suspended a heavy sword over Damocles' head by a single horsehair to demonstrate the constant peril faced by those in power.
• Idiomatic Rigidity:
• Idioms are fossilized constructions. Substituting key elements such as prepositions (e.g., replacing 'by' with 'upon' or 'with') results in non-standard English and is considered a lexical error in competitive examinations.
• Contextual Usage:
• The phrase is commonly used in political science, economics, and healthcare to describe systems or patients whose survival depends on a very fragile factor.

The correct answer is Option 3.

Key Points

• The paragraph follows a chronological and thematic progression from the start of a journey to the interior of a chapel.
• Sentence S1 is the introductory sentence where the narrator leaves for a special errand.
• Sentence D follows S1 as it describes the immediate change in environment:
• 'The sky had changed from clear, sunny cold, to driving sleet and mist.'
• Sentence A follows D as it depicts the narrator's physical response to the storm:
• 'Wrapping myself in my shaggy jacket of the cloth called bearskin, I fought my way against the stubborn storm.'
• Sentence C follows A because it marks the end of the outdoor struggle and the narrator's entry into the destination:
• 'Entering, I found a small, scattered congregation of sailors, and sailors' wives and widows.'
• Sentence B follows C as it describes the internal atmosphere of the place the narrator just entered:
• 'A muffled silence reigned, only broken at times by the shrieks of the storm.'
• Sentence S2 is the concluding sentence, which provides further detail about the individuals in the congregation (worshippers) mentioned in Sentence C and the silence mentioned in Sentence B.
• The correct sequence is DACB.

Coherent paragraph after rearrangement:

'Returning from my first morning stroll, I again sallied out upon this special errand. The sky had changed from clear, sunny cold, to driving sleet and mist. Wrapping myself in my shaggy jacket of the cloth called bearskin, I fought my way against the stubborn storm. Entering, I found a small, scattered congregation of sailors, and sailors' wives and widows. A muffled silence reigned, only broken at times by the shrieks of the storm. Each silent worshipper seemed purposely sitting apart from the other, as if each silent grief were insular and incommunicable.'

The correct answer is Option 2.

Key Points

• The paragraph describes the solitary life of a widow living in the zamindar Sharadashankar's house and the emotional bond she forms with a child who is not her own.
• Sentence C follows S1 because it explains what happened to the blood relatives mentioned in the opening sentence:
• 'One by one they had died.'
• Sentence A is the second in the sequence as it extends the description of her isolation to her husband's family, clarifying that she has no direct heirs or spouse there:
• 'In her husband's family, too, there was no one she could call her own, having no husband or son.'
• Sentence D is the third sentence because it introduces a crucial exception to her loneliness using the contrastive conjunction 'But':
• 'But there was a little boy - her brother-in-law's son - who was the apple of her eye.'
• Sentence B is the fourth as it provides the backstory for this relationship, explaining why the widow, Aunt Kadambini, was the one to raise the child:
• 'His mother had been very ill for a long time after his birth, so his Aunt Kadambini had brought him up.'
• The logical sequence CADB concludes with S2, which reflects on the deep ties of affection that develop when someone raises another person's child.
• The correct sequence is CADB.

Coherent paragraph after rearrangement:

'The widow living with the zamindar Sharadashankar's family, in the big house at Ranihat, had no blood relatives left. One by one they had died. In her husband's family, too, there was no one she could call her own, having no husband or son. But there was a little boy - her brother-in-law's son - who was the apple of her eye. His mother had been very ill for a long time after his birth, so his Aunt Kadambini had brought him up. Anyone who brings up someone else's son becomes specially devoted: there are no rights, no social claims - nothing but ties of affection.'

The correct answer is not uncommon to find street musicians.

Key Points

• The phrase 'none uncommon' used in the original sentence is grammatically incorrect because 'none' is a pronoun or an adverb meaning 'not any' or 'to no extent', and it cannot properly modify the adjective 'uncommon' in this specific sentence structure.
• The correct expression 'not uncommon' is a rhetorical device known as litotes, where a negative statement (not) is used to affirm a positive sentiment (common); it suggests that the event occurs with reasonable frequency.
• In the structure 'It is' (contracted as 'It's'), the word 'is' acts as a linking verb which must be followed by an adjective or an adjectival phrase; the adverb 'not' is the standard tool for negating such adjectives in English.
• The term 'street musicians' is a correctly formed compound noun referring to individuals who perform music in public spaces for tips, fitting the context of the sentence perfectly.

 Additional Information

• 'Nothing uncommon' vs. 'Not uncommon':
• 'Nothing' is a pronoun. While one could say 'There is nothing uncommon about this', it does not fit the dummy subject structure of 'It is...' as effectively as the adverb 'not'.
• 'Never uncommon' and 'Streets of musicians':
• 'Never' is an adverb of frequency meaning 'at no time'; using it here would create an absolute statement that is stylistically unusual for describing a casual weekend observation.
• The phrase 'streets of musicians' uses a prepositional phrase that changes the meaning entirely, suggesting the physical roads are populated by or belong to musicians, rather than describing the buskers themselves.
• Litotes in English:
• This figure of speech is frequently used in formal writing and literature to provide emphasis through understatement, often making a claim seem more objective or cautious.

The correct answer is 'quickly'.

Key Points

• The sentence describes Ananya's arrival at a guesthouse for a school competition.
• The phrase following the blank is 'eager to rehearse her debate speech'.
• The word 'eager' implies a sense of enthusiasm or urgency to start her preparation.
• 'Quickly' is the most appropriate adverb as it matches the context of someone who wants to finish a routine task (checking in) rapidly to get to their main goal (rehearsing).
• Other options like 'calmly', 'silently', or 'nervously' do not directly align with the motivation of being 'eager' to start a task.

Therefore, the correct answer is 'Option 4'.

Complete Passage: Last winter, Ananya traveled alone to Shimla for a school competition. The town, covered in snow, looked like a painting that had come alive. She checked into the guesthouse 1. quickly eager to rehearse her debate speech. But just as she reached for her notes, she realized something alarming, her suitcase 2. was locked, and the key was missing. Had she dropped it at the railway station? Or had she left it in the train itself? The more she thought, the more restless she became. 'Stay calm, Ananya,' she whispered to 3. herself, 'panic will solve nothing.' Determined to find a way, she asked the receptionist for help. He suggested calling a locksmith. While waiting, she kept 4. pacing the hall, her mind filled with worry. How embarrassing it would be if she could not present her speech tomorrow! When the locksmith finally arrived, he 5. examined the lock and said confidently, 'Do not worry, miss, this will open soon.' Within min, the suitcase clicked open. What a moment of relief it was! Ananya almost cried with gratitude. That night, while reviewing her speech, she reflected: 'Life often tests us with unexpected problems. If we stay calm, solutions eventually appear.' She promised herself she would remember this lesson in every challenge ahead.

Additional Information

• Calmly: Means in a quiet and peaceful manner.
• Silently: Means without making any sound.
• Nervously: Means in an anxious or apprehensive way, usually due to fear or stress.