SSC GD Constable 2026 Official Paper (Held On 25 May, 2026 Shift 1) (Previous Year Paper)

Logic followed here is.

Logic: The next term in the series is determined by subtracting consecutive multiples of 3 from the preceding term.

Following this logic, the missing term is -138.

Hence, the correct answer is "Option 4".

Logic followed here is.

Logic: The series consists of two independent patterns applied to the first and second letters of each term, where each letter follows a constant numerical increment in its alphabetical positional value.

The missing term is RT.

Hence, the correct answer is "Option 2".

Logic followed here is:

The series consists of pairs of letters where both the first and second letters follow a specific addition pattern based on their positional values in the English alphabet.

Combining the results, the missing term in the series is XE.

Hence, the correct answer is "Option 3".

Logic followed here is:

Logic: The series follows a pattern where each term is obtained by adding a constant difference to the previous term.

Hence, the correct answer is "Option 3".

Logic followed here is.

Logic: The series is based on constant addition, where each subsequent term is found by adding a fixed value (common difference) to the previous term.

Therefore, the wrong term is 628.

Hence, the correct answer is "Option 4".

1. Since all persons face the centre: right = counterclockwise, left = clockwise. Fix D at pos(1). Only one person sits between C and D when considering towards the right of D (counterclockwise): D(1) → pos(2) → C(3). Thus, C is at pos(3).

2. B is sitting second to the left of D (clockwise): D(1) → pos(5) → B(4). So, B is at pos(4).

3. A is sitting to the immediate right of B (counterclockwise): B(4) → A(5). Therefore, A is at pos(5).

4. The remaining person E fills the empty seat at pos(2). The final arrangement is: D(1), E(2), C(3), B(4), A(5).

To find who is sitting to the immediate right of A, we move one position

counterclockwise from A(5), which leads us back to D(1). Therefore, D is sitting

to the immediate right of A.

Hence, the correct answer is 'Option 3'.

1. Since all persons face the centre: right = counterclockwise, left = clockwise. Fix G at pos(1). C is second to the right of G (counterclockwise): G(1) → pos(7) → C(6).

2. F is to the immediate right of C (counterclockwise): C(6) → F(5).

3. A is third to the left of E (clockwise): E → skip 2 → A. Placing E at pos(4) gives E(4) → pos(5) → pos(6) → A(7).

4. B is the immediate neighbour of D and E. This means B sits between D and E. Since E is at pos(4), B must be at pos(3) and D at pos(2).

The final arrangement is G(1), D(2), B(3), E(4), F(5), C(6), A(7) in clockwise order. To find the person sitting second to the left of A, move clockwise from A(7): A(7) → G(1) (first left) → D(2) (second left). Thus, D sits second to the left of A.

Hence, the correct answer is 'Option 1'.

Based on the information given, let's determine the seating arrangement of the 7 boys (A, B, C, D, E, F, and G) step-by-step:

1: "Only G is to the right of F"

2: "D is fourth to the left of F"

3: "A is to the immediate left of B" and "B is not next to F or E"

4: "B is not next to E" and remaining positions

Step 5: "If positions of D and C are interchanged"

Interchanging D (at seat 2) and C (at seat 5):

Final Arrangement:

Final Step: How many boys are to the right of D?

In the new arrangement, D is at seat 5. The boys to his right are at seats 6 and 7, which are F and G.

Number of boys to the right of D = 2.

Hence, the correct answer is "Option 3".

According to the question, the price of 10 notebooks is equal to the price of 4 pens.

Calculation:

Let the price of one notebook be N

Let the price of one pen be P

As per the given information:

10 × N = 4 × P

To find the ratio of the price of a notebook to a pen (N : P), we rearrange the equation:

N / P = 4 / 10

Now, simplify the fraction by dividing both the numerator and the denominator by their common factor (2):

N / P = 2 / 5

The ratio of the price of a notebook to the price of a pen is 2 : 5.

Hence, the correct answer is "Option 3".

The logic followed here is:

Logic: Second Number = First Number − 54

For the first pair 677 : 623

⇒ 677 − 54 = 623.

For the third pair 6057 : 6003

⇒ 6057 − 54 = 6003.

Applying the same logic to the second pair

4042 : ?

⇒ 4042 − 54 = 3988.

Hence, the correct answer is 'Option 3'.

The logic followed here is:

Logic: First Number = Second Number + 36

For the second pair 880 : 844

⇒ 844 + 36 = 880

For the third pair 1162 : 1126

⇒ 1126 + 36 = 1162

Applying the same logic to the first pair

? : 226

⇒ 226 + 36 = 262

Hence, the correct answer is 'Option 2'.

Logic followed here is:

Logic: The code is obtained by adding or subtracting specific values from the positional values of the letters of the word according to the pattern: +3, +4, −2, −3.

For VARY is coded as YEPV →

For MIEN is coded as PMCK →

Similarly, let us find the code for EVEN:

Therefore, EVEN is coded as HZCK.

Hence, the correct answer is "Option 4".

The logic followed here is that each term in the series consists of two letters and a number, each following a specific pattern.

Combining the results, the next term in the series is PN552.

Hence, the correct answer is "Option 2".

Logic followed here is.

Logic: The series follows a specific pattern for the letters and the numbers. Each term is derived from the previous term by applying a constant change to the positional values of the letters and by adding a constant value to the numbers.

The only term that deviates from the pattern is OJR150.

Hence, the correct answer is "Option 4".

Logic followed here is:

Logic: Each term in the series consists of three letters and a number, where each component follows a specific incremental or decremental pattern based on its positional value.

The wrong term is WUW12.

Hence, the correct answer is "Option 3".

Concept:

The hour hand covers 360° in 12 hours.

Angular distance covered in 1 hour = 360/12 = 30°

Angular distance covered in 60 minutes = 30°

Angular distance covered in 1 minute = 30/60 = 1/2° (or 0.5°)

The minute hand covers 360° in 60 minutes.

Angular distance covered in 1 minute = 360/60 = 6°

Relative speed between the hands = 6° − 0.5° = 5.5° per minute.

Calculation:

At 1 AM, the hour hand is at the 1 o'clock mark (30°) and the minute hand is at the 12 o'clock mark (0°).

The initial gap between the hands is 30°.

For the hands to overlap, the minute hand must gain 30° over the hour hand.

Time required = Initial Gap ÷ Relative Speed

Time = 30 ÷ 5.5

Time = 300/55 = 60/11 minutes

Time ≈ 5.45 minutes

Therefore, the hands will overlap at approximately 5.45 minutes past 1, which is 1:05 (approximately).

Hence, the correct answer is 1:05.

Alternate Method

The angle between the hour hand and minute hand is given by the formula:

Angle (θ) = |30H − (11/2)M|

For the hands to overlap, the angle θ must be 0°.

Given H = 1 (time is between 1 AM and 2 AM).

0 = |30 × 1 − (11/2)M|

30 = (11/2)M

M = 60/11

M ≈ 5.45 minutes

The approximate time is 1:05.

Therefore, the correct answer is 1:05.

Concept:

When a clock gains time, it moves faster than a standard clock. To find the time shown by such a clock, we determine the total elapsed time and calculate the total gain based on the given rate.

Calculation:

The time interval from 6 AM to 6 PM on the same day is 12 hours.

First, we find the total gain per hour:

Minutes in 1 hour = 60 minutes

Gain rate = 2 seconds for every 5 minutes

Number of 5-minute intervals in 1 hour = 60 ÷ 5 = 12 intervals

Gain in 1 hour = 12 × 2 seconds = 24 seconds

Now, we calculate the total gain over the 12-hour duration:

Total gain = 12 hours × 24 seconds/hour = 288 seconds

Convert the total gain from seconds into minutes and seconds:

Total gain in minutes = 288 ÷ 60

288 seconds = 4 minutes and 48 seconds

The correct time at 6 PM is 6:00:00.

The time shown by the clock = 6:00:00 + 4 minutes 48 seconds = 6:04:48.

Hence, the time the clock will show at 6 PM is 6:04:48.

Therefore, the correct answer is 6:04:48.

The logic followed in this series is: All the elements in the box are changing it's posistion one by one in each step.

Hence, the correct image is "Option 3".

The logic followed here is:

Hence, the correct answer is "Option 1".

The logic followed in this series: All the letters are changing it's place to 1 position in anti-clockwise direction.

Hence, the correct image is "Option 4".

The correct answer is Antonie van Leeuwenhoek.

Key Points

• Antonie van Leeuwenhoek (1632−1723) is universally recognized as the Father of Microbiology because he was the first person to observe and describe microorganisms.
• A Dutch scientist and businessman, he developed high-quality single-lens microscopes with magnification power exceeding 200 times, which was far superior to the compound microscopes of the 17^th century.
• In 1674, he discovered protozoa, and in 1676, he became the first human to witness bacteria, which he initially described as animalcules in his letters to the Royal Society of London.
• His extensive research provided the first microscopic descriptions of red blood cells, spermatozoa, yeast, and the capillary system, effectively establishing the foundation for microbiology and protozoology.
• Unlike his contemporaries, Leeuwenhoek achieved exceptional clarity in his lenses, allowing him to visualize the microscopic world with a level of detail that would not be surpassed for over a century.

 Additional Information

• Louis Pasteur:
• Commonly referred to as the father of modern microbiology and bacteriology.
• He is famous for proving the germ theory of disease and developing the process of pasteurization to kill harmful microbes in food.
• He created vaccines for rabies and anthrax, significantly advancing the field of preventive medicine.
• Robert Hooke:
• An English scientist who, in 1665, used a microscope to observe a thin slice of cork and coined the term cell.
• He published his findings in the landmark book Micrographia, which featured detailed illustrations of insects and plants.
• Edward Jenner:
• Regarded as the father of immunology for his pioneering work in 1796.
• He developed the smallpox vaccine, the first successful vaccine in human history, by utilizing cowpox material to create immunity.

The correct answer is Halons.

Key Points

• Halons are a specific class of halogenated hydrocarbons that contain bromine, along with fluorine and carbon atoms.
• In the Earth's stratosphere, these compounds are broken down by high-energy ultraviolet (UV) radiation in a process known as photolysis or photodissociation.
• This reaction results in the release of highly reactive atomic bromine, which acts as a powerful catalyst in the destruction of the ozone layer.
• Scientifically, bromine is significantly more destructive to ozone (O₃) than chlorine; it is estimated that a single bromine atom can be 40 to 100 times more efficient at destroying ozone molecules than a single chlorine atom.
• Historically, Halons were extensively used in fire suppression systems and portable fire extinguishers because they are electrically non-conductive and leave no residue after application.

 Additional Information

• Other Ozone-Depleting Substances (ODS):
• Chlorofluorocarbons (CFCs): These contain chlorine, fluorine, and carbon. When exposed to UV radiation, they release chlorine atoms, which are the primary drivers of ozone depletion in the polar regions.
• Hydrochlorofluorocarbons (HCFCs): These were developed as transitional substitutes for CFCs. While they also release chlorine, they contain hydrogen, making them more likely to break down in the lower atmosphere before reaching the stratosphere.
• Carbon tetrachloride (CCl₄): A heavy, volatile liquid used historically as a cleaning agent and refrigerant precursor. It releases chlorine atoms upon UV exposure and has a high Ozone Depletion Potential (ODP).
• Montreal Protocol: This 1987 international treaty mandates the phase-out of Halons and other ODS to facilitate the recovery of the Earth's ozone shield.

The correct answer is Hydrochlorofluorocarbons - Chlorine.

Key Points

• Methyl bromide (CH₃Br) is an organobromine compound used extensively as a pesticide. When it reaches the stratosphere, ultraviolet (UV) radiation breaks its molecular bonds to release reactive bromine atoms, not iodine. Hence, statement 1 is incorrect.
• Carbon tetrachloride (CCl₄) is a highly toxic volatile compound formerly used in refrigerants and dry cleaning. Upon exposure to UV radiation in the upper atmosphere, it decomposes to release chlorine atoms; it does not contain bromine. Hence, statement 2 is incorrect.
• Hydrochlorofluorocarbons (HCFCs) are a group of compounds containing hydrogen, chlorine, fluorine, and carbon. They are classified as Ozone-Depleting Substances (ODS) because UV radiation causes the release of free chlorine atoms, which then catalytically destroy ozone (O₃) molecules. Hence, statement 3 is correct.
• Halons are unreactive, halogenated hydrocarbons used in fire extinguishers. They primarily release bromine (and often chlorine) when broken down by UV light. They do not release nitrogen, as nitrogen is not a halogen and does not participate in this specific ozone-depletion mechanism. Hence, statement 4 is incorrect.

 Additional Information

• Ozone Depletion Mechanism:
• The stratospheric ozone layer protects Earth from harmful UV-B radiation.
• Chlorine and Bromine radicals act as catalysts; a single chlorine atom can destroy over 100,000 ozone molecules before it is removed from the stratosphere.
• Montreal Protocol: Signed in 1987, this international treaty aims to phase out the production of CFCs, HCFCs, and Halons.
• Ozone Depletion Potential (ODP): This is a relative measure where CFC-11 is assigned a value of 1.0. HCFCs generally have lower ODPs (ranging from 0.01 to 0.1) compared to CFCs, while Halons have much higher ODPs (up to 10.0) due to the presence of bromine.

The correct answer is Fore-brain.

Key Points

• The Fore-brain (Prosencephalon) is the largest and most complex portion of the human brain, serving as the main site for higher cognitive functions and abstract thinking.
• It includes the Cerebrum, which is the specialized region responsible for logical reasoning, intelligence, imagination, and decision-making.
• The Cerebral Cortex, the outer layer of the fore-brain, processes sensory information from the eyes, ears, and skin to translate them into conscious thoughts and perceptions.
• Within the fore-brain, the Frontal Lobe plays a critical role in executive functions such as problem-solving, planning, and voluntary muscle control.
• The fore-brain also manages the storage of long-term memory and the interpretation of language, which are fundamental to the human thinking process.

 Additional Information

• Mid-brain:
• Acts as a vital relay center for visual and auditory impulses between the hind-brain and fore-brain.
• Controls involuntary eye movements and the pupillary reflex, which adjusts the size of the pupil in response to light.
• Hind-brain:
• Consists of the Cerebellum, Pons, and Medulla Oblongata.
• The Cerebellum is responsible for maintaining posture, equilibrium, and precision in voluntary movements.
• The Medulla Oblongata controls essential life-sustaining involuntary activities like heartbeat, blood pressure, and respiration.
• Spinal Cord:
• A cylindrical bundle of nerve fibers that extends from the Medulla through the vertebral column.
• It acts as the primary pathway for transmitting signals between the brain and the body and coordinates reflex actions without direct brain involvement.

The correct answer is T. Raja Singh.

Key Points

• T. Raja Singh, the Member of the Legislative Assembly (MLA) representing the Goshamahal constituency in Hyderabad, tendered his resignation in June 2025.
• The resignation was driven by his publicly stated dissatisfaction with the state leadership and the internal organizational functioning of the Bharatiya Janata Party (BJP) in Telangana.
• He cited a lack of support from the state executive and differences over the strategic direction the party was taking ahead of regional political developments as core reasons for his exit.
• As a three-time MLA, his departure significantly impacted the BJP's strength in the Telangana Legislative Assembly, given his influence among the urban electorate in the Old City area.
• The resignation letter was formally submitted to the Speaker of the Legislative Assembly, marking a major shift in the state's political landscape during the 2025 period.

 Additional Information

• Bandi Sanjay Kumar:
• A prominent leader who served as the State President of the Telangana BJP and is currently a Union Minister of State in the Home Ministry.
• He is widely known for leading the Praja Sangrama Yatra, a massive foot march that aimed to highlight governance issues in the state.
• G. Kishan Reddy:
• A veteran politician currently serving as the Union Minister of Coal and Mines and the President of the BJP Telangana unit.
• He represents the Secunderabad constituency in the Lok Sabha and has held various Cabinet portfolios at the Union level.
• Etela Rajender:
• Formerly a senior leader and Health Minister in the BRS cabinet, he joined the BJP in 2021 after a high-profile fallout with the state leadership.
• He is a significant Backward Class (BC) leader and currently serves as a Member of Parliament (MP) from the Malkajgiri constituency.

The correct answer is Udhayanidhi Stalin.

Key Points

• Udhayanidhi Stalin was officially appointed as the Deputy Chief Minister of Tamil Nadu on September 28, 2024, following a cabinet reshuffle recommended by Chief Minister M.K. Stalin.
• He becomes the third individual to hold the office of Deputy Chief Minister in Tamil Nadu, a position previously occupied by his father M.K. Stalin (2009–2011) and O. Panneerselvam (2017–2021).
• Prior to this elevation, he served as the Minister for Youth Welfare and Sports Development, a portfolio he continues to hold along with the newly assigned Planning and Development department.
• He is an elected member of the Tamil Nadu Legislative Assembly representing the Chepauk-Thiruvallikeni constituency and is a key youth leader of the Dravida Munnetra Kazhagam (DMK) party.
• The swearing-in ceremony was conducted at Raj Bhavan, where Governor R.N. Ravi administered the oath of office to him and other newly inducted or reassigned ministers.

 Additional Information

• K. Palaniswami:
• He is the former Chief Minister of Tamil Nadu (2017–2021) and currently serves as the Leader of the Opposition in the State Assembly.
• He is the General Secretary of the All India Anna Dravida Munnetra Kazhagam (AIADMK).
• O. Panneerselvam:
• A senior political figure who has served as the Chief Minister of Tamil Nadu multiple times and was the Deputy Chief Minister during the 2017–2021 tenure.
• V. Senthil Balaji:
• He was re-inducted into the Tamil Nadu Cabinet as the Minister for Electricity, Non-Conventional Energy Development, Prohibition, and Excise in September 2024.
• His re-induction followed his release from incarceration after the Supreme Court granted him bail in a money laundering case.

The correct answer is Both I and II.

Key Points

• The human Excretory System consists of a pair of kidneys, which are the primary filtration organs. These bean-shaped organs are located in the abdominal cavity, positioned retroperitoneally on either side of the backbone (vertebral column). Hence, statement I is correct.
• Once urine is produced in the nephrons of the kidneys through processes like ultrafiltration and reabsorption, it travels down through a pair of long, muscular tubes known as ureters. These tubes connect the kidneys to the urinary bladder, where urine is stored until it is released. Hence, statement II is correct.

 Additional Information

• Components of the Human Urinary System:
• Kidneys: Responsible for removing nitrogenous wastes such as urea and uric acid from the blood. They maintain osmoregulation and ionic balance.
• Nephron: The basic functional unit of the kidney. Each kidney contains approximately 1 million nephrons that filter blood to form urine.
• Urinary Bladder: A distensible muscular organ that acts as a reservoir. It is under the control of the nervous system, allowing for voluntary control over micturition (urination).
• Urethra: The final muscular tube through which urine passes from the bladder to the exterior of the body.
• Blood Supply: Blood enters the kidneys via the renal artery and leaves via the renal vein after being filtered.

Concept:

The Ecomark Scheme is a certification program managed by the Government of India to identify products that have a reduced environmental impact throughout their life cycle. The primary objective is to encourage sustainable production and help consumers make environmentally conscious purchasing decisions. To modernize the old 1991 framework, the Ministry of Environment, Forest and Climate Change (MoEFCC) introduced a new set of rules to streamline the certification process and promote the LiFE (Lifestyle for Environment) initiative.

Important Facts:

• The Ecomark Rules, 2024 were officially notified by the MoEFCC on September 26, 2024, under the powers of the Environment (Protection) Act, 1986.
• The new rules designate the Central Pollution Control Board (CPCB) as the implementing agency for the Ecomark certification.
• The rules focus on criteria such as resource efficiency, energy conservation, and the reduction of hazardous substances to ensure that 'Ecomark' labeled products are genuinely eco-friendly.
• This notification supersedes the previous Ecomark scheme that was in place since 1991, bringing in digital transition and stricter monitoring to prevent greenwashing.

Final Answer: The Ministry of Environment, Forest and Climate Change has notified the Eco-mark Rules in September 2024.

The correct answer is Earth.

Key Points

• In terms of physical dimensions, Earth is the fifth largest planet in our Solar System. It follows the four giant planets: Jupiter, Saturn, Uranus, and Neptune.
• The descending order of planets by size (diameter) is Jupiter (largest), Saturn, Uranus, Neptune, Earth, Venus, Mars, and Mercury (smallest).
• Earth has an equatorial diameter of approximately 12,756 kilometers (roughly 7,926 miles), making it the largest of the four terrestrial planets (rocky planets).
• It is the third planet from the Sun and is the only known celestial body to support life, possessing a unique atmosphere and liquid water.
• The shape of the planet is not a perfect sphere but an oblate spheroid or Geoid, meaning it is slightly flattened at the Poles and bulging at the Equator due to its rotation.
• Therefore, Earth is the correct answer as it holds the fifth position in the size ranking of the eight major planets.

 Additional Information

• Mercury:
• It is the smallest planet in the solar system, with a diameter of about 4,879 kilometers.
• It is the closest planet to the Sun and lacks a significant atmosphere.
• Venus:
• Ranking as the sixth largest planet, it is often referred to as Earth's twin due to its similar size and mass.
• It has a diameter of approximately 12,104 kilometers.
• Uranus:
• It is the third largest planet in the solar system by diameter (about 50,724 kilometers) and the fourth largest by mass.
• It is classified as an Ice Giant because it is mostly composed of elements heavier than hydrogen and helium, such as oxygen, carbon, nitrogen, and sulfur.

The correct answer is Nadaswaram.

Key Points

• Nadaswaram is a premier double-reed wind instrument originating from South India, and it is recognized as one of the world's loudest non-brass acoustic instruments.
• The instrument is popularly known as Nayanam or Nagaswaram in regional contexts, particularly in the state of Tamil Nadu, where it is a central part of the Carnatic music tradition.
• Structurally, the Nadaswaram consists of a long conical tube traditionally made from Aacha wood (hard ebony), featuring seven finger holes and a large, detachable flaring bell made of wood or metal.
• It is classified as an aerophone and uses a double reed called the Seevali, which is made from a type of marsh reed found in the Kaveri River delta.
• Culturally, it is revered as a Mangala Vadya (auspicious instrument) and is indispensable in Hindu weddings, temple festivals, and religious rituals across the Southern Indian peninsula.
• Historically, maestros like Sheikh Chinna Moulana and T.N. Rajarathnam Pillai have significantly elevated the status of this instrument in the global classical music arena.

 Additional Information

• Gogona:
• It is a traditional Assamese folk instrument made of bamboo, categorized as a type of jaw harp or lamellophone, typically played during the Bihu festival.
• Timki:
• A small percussion instrument or kettle drum used by tribal communities in Central India, often used to provide rhythmic accompaniment to folk dances.
• Harmonium:
• A keyboard-based aerophone that produces sound through free reeds; although ubiquitous in Hindustani and Sufi music today, it was introduced to India by European missionaries and is not an ancient indigenous invention.

The correct answer is Drum.

Key Points

• The Tur is a traditional percussion instrument extensively utilized in the folk music traditions of Gujarat, specifically among the Dubla and Dhodia tribal communities. It is defined by its cylindrical body, which is traditionally fashioned from clay or terracotta.
• As a classic example of a Membranophone, the Tur features leather surfaces or animal hides stretched across both ends of the cylinder. These membranes are struck manually to produce rhythmic sounds, which confirms its classification as a Drum.
• In Indian musicology, based on the Natya Shastra, instruments like the Tur are categorized as Avanaddha Vadya. This category encompasses all instruments where sound is generated by striking a stretched membrane.
• The instrument is central to tribal dances and social ceremonies, providing the primary rhythmic foundation for various cultural performances in Western India.

 Additional Information

• Harmonium:
• A keyboard-based reed organ that produces sound by pushing air through metal reeds via manual bellows. It is classified as an Aerophone.
• Cymbal:
• Commonly referred to as Manjira or Kantal in India, these are Idiophones made of metal alloys that produce sound when two plates are struck together.
• Guitar:
• A stringed instrument or Chordophone where sound is produced by plucking or strumming strings over a soundboard or through electronic amplification.
• Avanaddha Vadya Context:
• Other notable instruments in this category include the Tabla, Mrudangam, and Dholak, all of which rely on leather membranes for sound production.

The correct answer is Jahangir.

Key Points

• The Shalimar Bagh is the largest Mughal garden in the Kashmir Valley, located on the northeast shore of the Dal Lake in Srinagar.
• It was built by the fourth Mughal Emperor Jahangir in the year 1619 as a summer retreat for his wife, Empress Nur Jahan.
• The garden is considered the high point of Mughal horticulture and is often referred to as the Crown of Srinagar or the Garden of Bliss.
• The layout follows the Charbagh architectural concept, which is a quadrilateral garden layout based on the four gardens of Paradise mentioned in the Quran.
• It is divided into three distinct terraces: the lowest was for the public (Diwan-i-Aam), the middle for the Emperor (Diwan-i-Khas or Farah Baksh), and the top terrace for the royal ladies (Zenana or Faiz Baksh).
• The garden features a central water channel known as the Shah Nahar, which is fed by the Harwan garden springs and flows through the terraces into the Dal Lake.

 Additional Information

• Babur:
• He was the founder of the Mughal Empire and introduced the Persian garden style to India.
• His most famous garden is the Aram Bagh (originally Bagh-i-Gul-Afshan) located in Agra, built in 1528.
• Akbar:
• He was responsible for building the Naseem Bagh in Srinagar in 1586, which is the oldest Mughal garden in Kashmir and is famous for its massive Chinar trees.
• Humayun:
• Though he did not build famous gardens in Kashmir, his tomb in Delhi, commissioned by his wife Bega Begum, is a landmark example of a garden-tomb in India.
• Shah Jahan:
• He was the son of Jahangir and significantly extended Shalimar Bagh in 1630.
• He also constructed the Shalimar Gardens in Lahore in 1641 and the Chashme Shahi garden in Srinagar in 1632.

The correct answer is Swimming.

Key Points

• Sachin Nag (1920–1987) was a distinguished Indian swimmer who etched his name in sports history by winning the first-ever gold medal for India in the inaugural Asian Games.
• He achieved this historic milestone at the 1951 Asian Games held in New Delhi, securing the gold medal in the 100-meter freestyle swimming event.
• Apart from his prowess in competitive swimming, Nag was an exceptionally skilled water polo player, showcasing his versatility in aquatic sports.
• He represented India on the global stage at two Olympic Games, participating in the 1948 London Olympics and the 1952 Helsinki Olympics in both swimming and water polo disciplines.
• In the 1951 Asian Games, he also contributed to India's success by winning bronze medals in the 4×100-meter freestyle relay and the 3×100-meter medley relay.

 Additional Information

• Indian Aquatics and Asian Games:
• The 1951 Asian Games saw India finishing second in the overall medal tally, with swimming being a key contributor to the count.
• The Swimming Federation of India (SFI) is the national governing body responsible for the development and administration of swimming, diving, and water polo in the country.
• Other notable Indian swimmers who gained international acclaim include Mihir Sen, the first Indian to swim across the English Channel in 1958, and Arati Saha, the first Indian woman to achieve the same feat.
• In more recent history, Virdhawal Khade ended a 24-year medal drought for India in swimming at the Asian Games by winning a bronze in the 50m butterfly at the 2010 Guangzhou Games.

The correct answer is Only II.

Key Points

• Statement I: A Helmet is a critical piece of protective equipment used by batsmen, wicket-keepers, and close-in fielders to prevent head injuries. The outer shell is typically manufactured from high-impact synthetic materials such as Carbon Fiber, Kevlar, Fibreglass, or ABS Plastic, while the inner lining consists of high-density foam and the grille is made of Steel or Titanium. Wood is not used in its primary construction due to its inability to meet modern impact-resistance safety standards. Hence, statement I is incorrect.
• Statement II: A Bat is the specialized equipment used by batsmen to hit the ball and is traditionally crafted from wood. The blade of a professional cricket bat is primarily made from English Willow (Salix alba caerulea) or Kashmir Willow, which are chosen for their unique properties of strength, compression resistance, and lightweight nature. The handle is usually made of Cane and Rubber to provide flexibility and shock absorption. Hence, statement II is correct.

 Additional Information

• Cricket Bat Wood Varieties:
• English Willow: It is the standard for high-level international cricket, known for its natural moisture and straight grains, providing the best rebound qualities.
• Kashmir Willow: Primarily grown in India, it is tougher and heavier than its English counterpart, making it highly durable for recreational use.
• Knocking-in: This is a process where the wood fibers are compressed using a wooden mallet to prevent the bat from cracking upon impact with a leather ball.
• Protective Gear Composition:
• Stumps and Bails: These are also primarily made of wood, often using Ash or Guava wood for durability and weight.
• Leg Guards (Pads): Constructed using synthetic leather (PVC or PU), cane ribs, and internal foam padding for protection.

The correct answer is Only II.

Key Points

• Biotic factors refer to the living components or organisms in an ecosystem that influence or affect other organisms. In the context of grain storage, rodents such as rats and mice are living organisms that cause significant damage by consuming grains and contaminating them with their excreta, urine, and hair. Hence, statement II is correct.
• Abiotic factors are the non-living chemical and physical parts of the environment. Inappropriate moisture levels (either too high or too low) represent a physical environmental condition. While moisture influences the survival of biotic factors, it is not a living organism itself. Hence, statement I is incorrect.

 Additional Information

• Biotic Factors causing grain loss:
• Insects: Pests like the Rice Weevil and Pulse Beetle penetrate grain kernels, leading to weight loss and reduced nutritional value.
• Microorganisms: These include Fungi (molds) and Bacteria that cause discoloration, foul odors, and produce toxic substances like Aflatoxins.
• Mites: Microscopic organisms that thrive in high-humidity environments and damage the grain germ.
• Abiotic Factors causing grain loss:
• Temperature: Improper temperatures can lead to thermal damage and increase the respiration rate of the grains, causing them to lose dry matter.
• Humidity: High atmospheric humidity increases the moisture content of the seeds, making them susceptible to fungal growth and sprouting.
• Impact of these factors includes degradation in quality, loss in weight, poor germinability, and discoloration of produce, all of which lead to poor marketability.

The correct answer is Both I and II.

Key Points

• Poultry farming is a specialized branch of animal husbandry dedicated to the rearing, breeding, and management of domesticated fowls or birds, primarily chickens, for economic purposes. Hence, statement I is correct.
• The industry is fundamentally structured into two primary streams: egg production and meat production, which utilize different specialized bird varieties to maximize yield and efficiency. Hence, statement II is correct.
• Broilers are specifically raised for meat production; they are bred for rapid growth and high feed conversion ratios, reaching market weight in a short period.
• Layers are domesticated birds maintained exclusively for egg production, requiring specific environmental conditions and nutritional management to sustain consistent laying cycles.

 Additional Information

• Nutritional Management:
• Broiler rations are formulated with high protein and fat content, supplemented with essential vitamins like Vitamin A and Vitamin K to facilitate muscle development.
• Layer rations require balanced levels of calcium and phosphorus to ensure the formation of strong, high-quality eggshells.
• Breeding Objectives:
• Poultry programs often involve cross-breeding between indigenous breeds like Aseel and exotic breeds like Leghorn.
• Goals include improving chick quality, developing dwarf broiler parents for commercial chick production, and ensuring summer adaptation capacity or tolerance to high temperatures.
• Disease Control: Poultry are susceptible to various viral, bacterial, and fungal diseases, necessitating strict sanitation, spraying of disinfectants, and timely vaccination to prevent large-scale mortality.

The correct answer is Provides structural strength to plants.

Key Points

• The plant cell wall is a specialized, rigid outer layer positioned outside the cell membrane, serving as a defining feature of plant cells, fungi, and some algae.
• The primary chemical constituent of the cell wall is cellulose, a complex polysaccharide that provides high tensile and structural strength to the plant. Hence, statement 1 is correct.
• Because plants lack a skeletal system like animals, the cell wall provides the necessary rigidity and framework required for plants to grow tall and resist mechanical stress.
• It maintains the shape of the cell and regulates turgor pressure, which is the internal pressure of the cell sap against the wall that keeps the plant turgid and upright.
• The cell wall acts as a semi-permeable barrier that prevents the cell from osmotic lysis (bursting) when placed in a hypotonic environment.

 Additional Information

• Structural Components:
• Cellulose Microfibrils: Long chains of glucose that form the primary structural skeleton of the wall.
• Hemicellulose and Pectin: These molecules cross-link cellulose fibers and form the middle lamella, acting as a glue between adjacent cells.
• Lignin: Found in secondary walls, it provides extra stiffness and waterproofing in woody tissues.
• Functional Distinctions:
• Photosynthesis and Food Synthesis: These metabolic functions are carried out by chloroplasts, which contain the green pigment chlorophyll. The cell wall does not contain the machinery for carbon fixation.
• Cell Division: This process is controlled by the nucleus and cytoskeletal elements like microtubules. While a cell plate is formed during cytokinesis to create a new wall, the wall itself does not facilitate the division.

The correct answer is Ministry of Housing and Urban Affairs.

Key Points

• The Municipal Performance Index (MPI) is a specialized tool launched by the Ministry of Housing and Urban Affairs (MoHUA) to evaluate the efficiency and performance of Urban Local Bodies (ULBs) across India.
• The index assesses municipal performance across five comprehensive pillars: Services, Finance, Planning, Technology, and Governance, which are further divided into 20 sectors and 100 indicators.
• It aims to promote evidence-based policy-making and foster a spirit of competitive federalism among cities by identifying gaps in local governance and service delivery.
• In the MPI 2020, municipalities were classified into two categories: Million-plus population and Less than Million population to ensure fair comparison.
• Indore emerged as the top-performing municipality in the Million-plus category, followed by Surat and Bhopal, showcasing excellence in urban management.
• The New Delhi Municipal Council (NDMC) secured the highest rank in the Less than Million category, followed by Tirupati and Gandhinagar.

 Additional Information

• Ease of Living Index (EoLI):
• Released alongside the MPI, the Ease of Living Index measures the Quality of Life, Economic Ability, and Sustainability of Indian cities.
• It incorporates a Citizen Perception Survey, which gives 30 percent weightage to the direct feedback of residents regarding the services provided by their city.
• Smart Cities Mission:
• Launched in 2015, this mission aims to provide core infrastructure, a clean and sustainable environment, and a decent quality of life to citizens through Smart Solutions.
• AMRUT Scheme:
• The Atal Mission for Rejuvenation and Urban Transformation focuses on establishing infrastructure for water supply, sewerage, and urban transport to improve the quality of life for the poor and disadvantaged.

The correct answer is Steeplechase.

Key Points

• Avinash Mukund Sable is a distinguished Indian track and field athlete who specialized in the 3000 meters steeplechase during the Asian Games 2023.
• In the 19^th edition of the Asian Games held in Hangzhou, China, Sable clinched the gold medal, marking a historic achievement for Indian athletics.
• He became the first Indian male athlete to secure a gold medal in this specific discipline at the Asian Games, showcasing India's growing dominance in long-distance obstacle racing.
• Sable completed the race with a timing of 8:19.50, which established a new Asian Games Record, breaking the previous mark held by Iran's Hossein Keyhani.
• His performance was characterized by an aggressive start where he maintained a significant lead over the rest of the field throughout the 3000m course.

 Additional Information

• Event Characteristics:
• The 3000m Steeplechase is an intense obstacle race consisting of 28 fixed barriers and 7 water jumps.
• Athletes must possess a combination of endurance, hurdling technique, and the ability to maintain pace after landing in water pits.
• Athlete Profile:
• Avinash Sable hails from the Beed district of Maharashtra and is a serving Naib Subedar in the 5 Mahar Regiment of the Indian Army.
• He also won a silver medal in the 5000 meters event at the same Asian Games, finishing with a time of 13:21.09.
• Prior to this, he gained international acclaim by winning a silver medal at the 2022 Commonwealth Games in Birmingham, where he famously challenged the long-standing Kenyan monopoly in the event.
• Other Options:
• Badminton: While India won several medals in badminton (including a historic gold in Men's Doubles), Sable is purely a track athlete.
• Golf: India's Aditi Ashok won a silver medal in this category, but it is unrelated to Sable's field of expertise.
• Cycling: This sport involves track and road races on bicycles, whereas Sable competes in athletics (running).

The correct answer is Human Development Index.

Key Points

• The Human Development Index (HDI) is a tool developed by the United Nations Development Programme (UNDP), not the World Economic Forum (WEF). It was first introduced in 1990.
• The index was pioneered by Pakistani economist Mahbub ul Haq and Indian Nobel laureate Amartya Sen to shift the focus of development economics from national income accounting to people-centered policies.
• The HDI is a composite statistic that aggregates three basic dimensions of human development: Long and healthy life (measured by life expectancy at birth), Knowledge (measured by mean and expected years of schooling), and a Decent standard of living (measured by GNI per capita at Purchasing Power Parity).
• In contrast, the World Economic Forum is an international organization for public-private cooperation based in Cologny, Switzerland, and is responsible for the other indices mentioned in the options.

 Additional Information

• Global Gender Gap Index:
• This index was first published in 2006 by the World Economic Forum.
• It benchmarks national gender gaps on economic participation, educational attainment, health and survival, and political empowerment.
• Global Competitiveness Index:
• An annual report published by the WEF since 1979 that ranks countries based on the Global Competitiveness Report.
• It assesses the microeconomic and macroeconomic foundations of national competitiveness through 12 pillars, including infrastructure, technological readiness, and innovation.
• Energy Transition Index (ETI):
• Published by the WEF in collaboration with Accenture, it tracks the progress of nations toward energy system performance and transition readiness.
• The framework is based on the energy triangle, which balances environmental sustainability, energy security, and economic development.
• World Economic Forum (WEF):
• Founded in 1971 by Klaus Schwab, the WEF is famous for its annual meeting in Davos.
• Other major reports published by WEF include the Global Risks Report and the Travel and Tourism Competitiveness Report.

Shortcut Trick

Solve brackets and multiplication first: (39 + 16) × 2 = 55 × 2 = 110.

Combine all positive numbers: 49 + 86 + 110 = 245.

Combine all negative numbers: 58 + 47 = 105.

Final result: 245 − 105 = 140.

∴ The correct answer is 140.

Alternate Method

Given Expression: 49 + 86 − 58 + (39 + 16) × 2 − 47

Applying the BODMAS rule (Brackets, Orders, Division, Multiplication, Addition, Subtraction):

⇒ 49 + 86 − 58 + (55) × 2 − 47

⇒ 49 + 86 − 58 + 110 − 47

⇒ 135 − 58 + 110 − 47

⇒ 77 + 110 − 47

⇒ 187 − 47

⇒ 140

∴ The correct answer is 140.

Additional Information

BODMAS Rule

It ensures calculations are performed in a fixed order: Brackets (), Of, Division (÷), Multiplication (×), Addition (+), and Subtraction (−).

Sign Convention in Addition

When adding or subtracting, group terms with the same sign to simplify the operation: (Sum of positives) − (Sum of negatives).

Multiplication Priority

Always complete multiplication and division before performing addition and subtraction unless brackets dictate otherwise.

Shortcut Trick

Apply BODMAS by grouping positive and negative terms for faster calculation.

Expression: 88 + 26 − 19 + 37 + 32 − 28 + 14

Positive terms: (88 + 32) + (26 + 14) + 37 ⇒ 120 + 40 + 37 = 197

Negative terms: 19 + 28 = 47

Final Value: 197 − 47 = 150

∴ The correct answer is 150.

Alternate Method

Given: 88 + 26 − (19 × 1) + 37 ÷ 1 + 32 − 28 + 14

Follow the BODMAS rule to solve the operations in order:

⇒ 88 + 26 − 19 + 37 ÷ 1 + 32 − 28 + 14 (Solving Bracket 19 × 1)

⇒ 88 + 26 − 19 + 37 + 32 − 28 + 14 (Solving Division 37 ÷ 1)

⇒ 114 − 19 + 37 + 32 − 28 + 14 (Performing Addition: 88 + 26)

⇒ 95 + 37 + 32 − 28 + 14 (Performing Subtraction: 114 − 19)

⇒ 132 + 32 − 28 + 14 (Performing Addition: 95 + 37)

⇒ 164 − 28 + 14 (Performing Addition: 132 + 32)

⇒ 136 + 14 (Performing Subtraction: 164 − 28)

⇒ 150 (Final Addition)

∴ The correct answer is 150.

Additional Information

BODMAS Rule

The acronym stands for Bracket, Of, Division, Multiplication, Addition, and Subtraction. It dictates the priority of operations in mathematics to ensure a unique result.

Simplification Tips

Always check for numbers that form round figures (like 88 + 32 = 120 or 26 + 14 = 40) to simplify manual addition and reduce calculation errors.

Shortcut Trick

Total Work = LCM of 10 and 15 = 30 units.

Efficiency of A = 3 and Efficiency of B = 2.

Work done together in 3 days = (3 + 2) × 3 = 15 units.

Remaining work = 30 − 15 = 15 units.

Days for B to finish remaining = 15 ÷ 2 = 7.5 days; Total days = 3 + 7.5 = 10.5 days.

∴ The correct answer is 7.5 days; 10.5 days.

Alternate Method

Given: Time taken by A = 10 days, Time taken by B = 15 days, Time worked together = 3 days.

Formula Used: Total Work = Efficiency × Time; Total days = Initial time + Remaining time.

⇒ Total efficiency of (A + B) = 3 + 2 = 5 units/day.

⇒ Work completed in 3 days = 5 × 3 = 15 units.

⇒ Remaining work = Total Work − Completed Work = 30 − 15 = 15 units.

⇒ Time taken by B for remaining work = Remaining Work ÷ B's Efficiency = 15 ÷ 2 = 7.5 days.

⇒ Total number of days = 3 (initial) + 7.5 (remaining) = 10.5 days.

∴ The correct answer is 7.5 days; 10.5 days.

Additional Information

Work and Wages

Wages are always distributed in the ratio of the efficiency of the workers or the work done by them, not the time taken.

Alternate Day Work

If workers work on alternate days, calculate the work done in one cycle (e.g., 2 days) and then find how many cycles are needed to complete the total work.

Efficiency and Time Relationship

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

Shortcut Trick

Convert all ratios to milk fractions: Mix 1 = 3/4, Mix 2 = 5/8, and Resultant = 4/6 = 2/3.

Apply Alligation on milk concentration:

Left side (Mix 1 − Mean): 3/4 − 2/3 = (9 − 8)/12 = 1/12

Right side (Mean − Mix 2): 2/3 − 5/8 = (16 − 15)/24 = 1/24

Required Ratio = (1/24) : (1/12) = 1 : 2.

∴ The correct answer is 1:2.

Alternate Method

Given:

Ratio of Milk to Water in Mixture 1 = 3 : 1

Ratio of Milk to Water in Mixture 2 = 5 : 3

Desired Milk to Water ratio in Resultant = 4 : 2 = 2 : 1

Formula Used:

Alligation Rule: Ratio of quantities = (Value 2 − Mean) : (Mean − Value 1)

Calculations:

⇒ Milk proportion in Mixture 1 = 3 / (3 + 1) = 3/4

⇒ Milk proportion in Mixture 2 = 5 / (5 + 3) = 5/8

⇒ Milk proportion in Resultant = 4 / (4 + 2) = 4/6 = 2/3

⇒ Applying alligation, the required ratio is:

⇒ (2/3 − 5/8) : (3/4 − 2/3)

⇒ [(16 − 15) / 24] : [(9 − 8) / 12]

⇒ 1/24 : 1/12

⇒ 1 : 2

∴ The correct answer is 1:2.

Additional Information

Rule of Alligation

It is a modified form of weighted average used to find the ratio in which two components are mixed to get a mean value: (Quantity 1 / Quantity 2) = (Value 2 − Mean) / (Mean − Value 1).

Mixture Consistency

When applying alligation, ensure all values represent the same component (either all milk or all water). The resulting ratio remains the same regardless of which component is used for the calculation.

Unitary Method in Ratios

For simple calculations, equalize the total quantity (LCM of denominators) of all mixtures before comparing the specific component amounts.

Shortcut Trick

Work remaining after 5 hours = 8 pumps × 10 hours = 80 pump-hours.

New number of pumps = 8 + 4 = 12 pumps.

Additional time needed = Remaining work ÷ Total pumps = 80 ÷ 12 = 6.67 hr.

Total time required = Initial time + Additional time = 5 + 6.67 = 11.67 hr.

∴ The correct answer is 11.67 hr.

Alternate Method

Given: Total pumps = 8, Total fill time = 15 hr, Initial time worked = 5 hr, New pumps added = 4.

Formula: Total Work = Efficiency × Time

⇒ Total work units (tank capacity) = 8 × 15 = 120 units.

⇒ Work completed by 8 pumps in 5 hours = 8 × 5 = 40 units.

⇒ Remaining work = 120 − 40 = 80 units.

⇒ New Efficiency (with 4 more pumps) = 8 + 4 = 12 units/hr.

⇒ Additional time taken = 80 ÷ 12 = 6.67 hr.

⇒ Total time required = 5 hr + 6.67 hr = 11.67 hr.

∴ The correct answer is 11.67 hr.

Additional Information

The Chain Rule

The fundamental relation for work is M₁×D₁×H₁ ÷ W₁ = M₂×D₂×H₂ ÷ W₂, where M is workers, D is days, H is hours, and W is work.

Inverse Variation in Work

For a constant volume of work, the time taken is inversely proportional to the number of pumps or workers (T ∝ 1/M).

Additivity of Efficiency

When multiple resources work together, their individual efficiencies are added to determine the net rate of completion.

Shortcut Trick

Convert each fraction into its decimal equivalent to compare values directly.

4(1/3) = 13 ÷ 3 ≈ 4.333

14/3 = 14 ÷ 3 ≈ 4.667

4(1/2) = 4.500

29/6 = 29 ÷ 6 ≈ 4.833

Comparing the values: 4.833 > 4.667 > 4.500 > 4.333

∴ The correct answer is 29/6 > 14/3 > 4(1/2) > 4(1/3).

Alternate Method

Given: 4(1/3), 14/3, 4(1/2), 29/6

Method Used: Convert all fractions to a Common Denominator using LCM.

⇒ Convert Mixed Fractions to Improper Fractions:

⇒ 4(1/3) = (4 × 3 + 1) ÷ 3 = 13/3

⇒ 4(1/2) = (4 × 2 + 1) ÷ 2 = 9/2

⇒ The set of fractions is: 13/3, 14/3, 9/2, 29/6

⇒ LCM of denominators (3, 2, 6) = 6

⇒ 13/3 = (13 × 2) ÷ (3 × 2) = 26/6

⇒ 14/3 = (14 × 2) ÷ (3 × 2) = 28/6

⇒ 9/2 = (9 × 3) ÷ (2 × 3) = 27/6

⇒ 29/6 = 29/6

⇒ Comparing numerators: 29 > 28 > 27 > 26

⇒ Descending Order: 29/6 > 28/6 > 27/6 > 26/6

∴ The correct answer is 29/6 > 14/3 > 4(1/2) > 4(1/3).

Additional Information

Comparing Fractions

To compare unlike fractions, find the Least Common Multiple (LCM) of the denominators and convert each fraction into an equivalent like fraction.

Mixed Fractions

A mixed fraction a(b/c) is converted to an improper fraction using the rule: (a × c + b) ÷ c.

Descending vs Ascending Order

Descending order means arranging values from greatest to least, while ascending order is from least to greatest.

Shortcut Trick

Estimate the middle number by calculating the cube root of the product: ³√9177 ≈ 20.94.

Identify the consecutive odd numbers near 21, which are 19, 21, and 23.

Verify the unit digit product: 9 × 1 × 3 = 27 (Last digit 7 matches 9177).

The largest number among 19, 21, and 23 is 23.

∴ The correct answer is 23.

Alternate Method

Given:

Product of three consecutive odd numbers = 9177.

Formula Used:

If the middle number is x, then the numbers are (x − 2), x, and (x + 2).

Product = (x − 2) × x × (x + 2) = x × (x² − 4) = x³ − 4x.

Calculations:

⇒ x³ − 4x = 9177

⇒ We know that 20³ = 8000 and 22³ = 10648.

⇒ Testing odd number x = 21:

⇒ 21³ − 4(21) = 9261 − 84 = 9177 (Matches given product).

⇒ The numbers are 19, 21, and 23.

⇒ The largest of these numbers is 23.

∴ The correct answer is 23.

Additional Information

Arithmetic Progression of Odd Numbers

Consecutive odd numbers always have a common difference (d) of 2. They can be represented as n, n+2, n+4...

Average of Consecutive Odd Numbers

The average of an odd number of consecutive terms in an AP is always the middle term.

Properties of Odd Products

The product of any number of odd integers is always odd. If the product is even, at least one of the numbers must be even.

Shortcut Trick

Identify prime numbers between 120 and 140 by checking odd numbers: 121, 123, 125, 127, 129, 131, 133, 135, 137, 139.

Eliminate multiples: 121 (11×11), 123 (3×41), 125 (5×25), 129 (3×43), 133 (7×19), 135 (5×27).

The remaining prime numbers are: 127, 131, 137, and 139.

Sum = 127 + 131 + 137 + 139 = 534.

∴ The correct answer is 534.

Alternate Method

Given: Range of numbers between 120 and 140.

To find prime numbers between 120 and 140, we exclude all even numbers and then check the divisibility of odd numbers by primes (3, 7, 11, 13...).

⇒ 121 ÷ 11 = 11 (Composite)

⇒ 123 ÷ 3 = 41 (Composite)

⇒ 125 ÷ 5 = 25 (Composite)

⇒ 127 (Not divisible by 2, 3, 5, 7, 11) → Prime

⇒ 129 ÷ 3 = 43 (Composite)

⇒ 131 (Not divisible by 2, 3, 5, 7, 11) → Prime

⇒ 133 ÷ 7 = 19 (Composite)

⇒ 135 ÷ 5 = 27 (Composite)

⇒ 137 (Not divisible by 2, 3, 5, 7, 11) → Prime

⇒ 139 (Not divisible by 2, 3, 5, 7, 11) → Prime

⇒ Sum = 127 + 131 + 137 + 139 = 534.

∴ The correct answer is 534.

Additional Information

Primality Test

To check if a number n is prime, test its divisibility by all prime numbers less than or equal to √n. If none divide n, then n is prime.

Twin Primes

Pairs of prime numbers that have a difference of exactly 2 are called twin primes. In this range, (137, 139) are twin primes.

Sum of Primes

There is no direct formula to find the sum of primes in a range; they must be identified individually using methods like the Sieve of Eratosthenes.

Shortcut Trick

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

Here, let a = 380 and b = 120.

Expression = 4 × 380 × 120.

Split the factor 4 into 2 × 2 ⇒ (2 × 380) × (2 × 120) = 760 × 240.

∴ The correct answer is 760 × 240.

Alternate Method

Given Expression: (380 + 120)² − (380 − 120)²

Formula Used: X² − Y² = (X + Y)(X − Y)

⇒ Let X = (380 + 120) and Y = (380 − 120).

⇒ Expression = [(380 + 120) + (380 − 120)] × [(380 + 120) − (380 − 120)]

⇒ Expression = [380 + 120 + 380 − 120] × [380 + 120 − 380 + 120]

⇒ Expression = [2 × 380] × [2 × 120]

⇒ Expression = 760 × 240

∴ The correct answer is 760 × 240.

Additional Information

Algebraic Identity - Sum Case

When the squares are added, the identity becomes: (a + b)² + (a − b)² = 2(a² + b²).

Standard Squaring Formulas

The expansion (a + b)² = a² + 2ab + b² and (a − b)² = a² − 2ab + b² are fundamental for solving quadratic and simplification problems.

Difference of Two Squares

The rule a² − b² = (a + b)(a − b) is used to factorize expressions or simplify products of large numbers.

Shortcut Trick

The area of a path inside a square is calculated as: 4w(S − w)

Given side (S) = 10 cm and path width (w) = 2 cm.

Area = 4 × 2 × (10 − 2)

Area = 8 × 8 = 64 cm².

∴ The correct answer is 64 cm².

Alternate Method

Given:

Side of the square park (S) = 10 cm

Width of the inner path (w) = 2 cm

Formula Used:

Area of path = (Area of outer square) − (Area of inner square)

Calculations:

⇒ Area of outer square = Side² = 10² = 100 cm²

⇒ Side of inner square = Outer side − (2 × Path width)

⇒ Inner side = 10 − (2 × 2) = 10 − 4 = 6 cm

⇒ Area of inner square = 6² = 36 cm²

⇒ Area of path = 100 − 36 = 64 cm²

∴ The correct answer is 64 cm².

Additional Information

Area of Path Outside a Square

If a path of width 'w' is built outside a square of side 'S', the area of the path is given by 4w(S + w).

Area of Path Inside a Rectangle

For a rectangle with length L and breadth B, the area of an internal path of width 'w' is 2w(L + B − 2w).

Area of Cross Paths

The area of two paths of width 'w' crossing each other at right angles in the center of a rectangle is w(L + B − w).

Shortcut Trick

The Area of a Rectangle is the product of its Length and Breadth.

Area = 5 × 7 = 35 cm².

∴ The correct answer is 35 cm².

Alternate Method

Given:

Length of the rectangle (L) = 5 cm

Breadth of the rectangle (B) = 7 cm

Formula Used:

Area of a Rectangle = Length × Breadth

Calculations:

⇒ Area = 5 cm × 7 cm

⇒ Area = 35 cm²

∴ The correct answer is 35 cm².

Additional Information

Perimeter of a Rectangle

The total distance around the boundary of a rectangle is P = 2 × (Length + Breadth).

Diagonal of a Rectangle

The straight line connecting opposite vertices is calculated using Pythagoras theorem: d = √(L² + B²).

Area of a Square

For a square, where Length = Breadth = side (a), the Area = a² and Perimeter = 4a.

Shortcut Trick

Semi-perimeter (l + b) = Perimeter ÷ 2 = 40 ÷ 2 = 20 cm.

Breadth (b) = Semi-perimeter − Length = 20 − 12 = 8 cm.

Area = Length × Breadth = 12 × 8 = 96 cm².

∴ The correct answer is 96 cm².

Alternate Method

Given:

Perimeter of the rectangle = 40 cm

Length (l) of the rectangle = 12 cm

Formula Used:

Perimeter = 2 × (Length + Breadth)

Area = Length × Breadth

Calculations:

⇒ 2 × (12 + Breadth) = 40

⇒ 12 + Breadth = 40 ÷ 2

⇒ 12 + Breadth = 20

⇒ Breadth = 20 − 12 = 8 cm

⇒ Area = 12 × 8

⇒ Area = 96 cm²

∴ The correct answer is 96 cm².

Additional Information

Diagonal of a Rectangle

The distance between opposite vertices, calculated as d = √(l² + b²).

Area of a Square

A square is a special rectangle where length = breadth; Area = side × side = a².

Perimeter vs Area Units

Perimeter is a 1D measure (cm, m), while Area is a 2D measure (cm², m²).

Shortcut Trick

The required sum of squares is calculated by subtracting the sum of the first 20 squares from the sum of the first 50 squares.

Formula for sum of squares of first n natural numbers = [n(n + 1)(2n + 1)] ÷ 6.

Sum (1 to 50) = (50 × 51 × 101) ÷ 6 = 42925.

Sum (1 to 20) = (20 × 21 × 41) ÷ 6 = 2870.

Required Sum = 42925 − 2870 = 40055.

∴ The correct answer is 40055.

Alternate Method

Given:

Series: 21² + 22² + 23² + ...... + 50².

Formula Used:

The sum of the squares of the first n natural numbers (Σn²) is given by: [n(n + 1)(2n + 1)] ÷ 6.

Calculations:

⇒ Required Sum = (1² + 2² + ... + 50²) − (1² + 2² + ... + 20²)

⇒ Sum = Σ₁⁵⁰ n² − Σ₁²⁰ n²

⇒ Sum = [50 × (50 + 1) × (2 × 50 + 1) ÷ 6] − [20 × (20 + 1) × (2 × 20 + 1) ÷ 6]

⇒ Sum = [50 × 51 × 101 ÷ 6] − [20 × 21 × 41 ÷ 6]

⇒ Sum = (25 × 17 × 101) − (10 × 7 × 41)

⇒ Sum = 42925 − 2870

⇒ Sum = 40055.

∴ The correct answer is 40055.

Additional Information

Sum of First n Natural Numbers

The sum is calculated as [n(n + 1)] ÷ 2.

Sum of Cubes of First n Natural Numbers

The sum is the square of the sum of the first n natural numbers: [{n(n + 1)} ÷ 2]².

Sum of First n Even Numbers

The sum of the first n consecutive even natural numbers is given by n(n + 1).

Sum of First n Odd Numbers

The sum of the first n consecutive odd natural numbers is given by n².

Shortcut Trick

Assume the Average as 150. Calculate the Net Deviation of the first 4 days from this average.

Net Deviation = (100 − 150) + (155 − 150) + (70 − 150) + (200 − 150)

⇒ −50 + 5 − 80 + 50 = −75.

To maintain the Average of 150, the 5^th day expenditure must compensate for this deficit.

⇒ 5^th Day Expenditure = 150 + 75 = 225.

∴ The correct answer is ₹225.

Alternate Method

Given:

Average Expenditure (5 days) = ₹150

Expenditure of first 4 days = ₹100, ₹155, ₹70, ₹200

Formula Used:

Total Sum = Average × Number of observations

Expenditure on 5^th day = Total Sum − Sum of expenditures of first 4 days

Calculations:

⇒ Total Expenditure for 5 days = 150 × 5 = ₹750

⇒ Sum of Expenditure for first 4 days = 100 + 155 + 70 + 200

⇒ Sum = ₹525

⇒ 5^th day Expenditure = 750 − 525

⇒ 5^th day Expenditure = ₹225

∴ The correct answer is ₹225.

Additional Information

Properties of Arithmetic Mean

The sum of deviations of a set of observations from their Arithmetic Mean is always zero. This property is used in the shortcut deviation method.

Relationship between Average and Sum

If a new observation is added, New Sum = (Old Average × Old Count) + New Observation. The New Average then becomes New Sum ÷ (Old Count + 1).

Weighted Average

Used when different groups have different sizes: Weighted Avg = (n₁x₁ + n₂x₂) ÷ (n₁ + n₂).

Shortcut Trick

Ratio of Boys to Girls = 12 : 8 = 3 : 2

Using Weighted Average ratio method:

Combined Average = (Ratio₁ × Avg₁ + Ratio₂ × Avg₂) ÷ (Total Ratio)

= (3 × 15 + 2 × 10) ÷ (3 + 2) = (45 + 20) ÷ 5 = 65 ÷ 5 = 13

∴ The correct answer is 13 years.

Alternate Method

Given:

Number of boys = 12 | Average age of boys = 15 years

Number of girls = 8 | Average age of girls = 10 years

Formula Used:

Total Age = Number of individuals × Average Age

Combined Average = (Sum of ages of boys + Sum of ages of girls) ÷ (Total number of students)

⇒ Total age of 12 boys = 12 × 15 = 180 years

⇒ Total age of 8 girls = 8 × 10 = 80 years

⇒ Total number of students = 12 + 8 = 20

⇒ Total age of all students = 180 + 80 = 260 years

⇒ Combined Average Age = 260 ÷ 20

⇒ Combined Average Age = 13 years

∴ The correct answer is 13 years.

Additional Information

Weighted Average Formula

Used when different groups have different sizes: Combined Avg = (n₁x₁ + n₂x₂) ÷ (n₁ + n₂).

Properties of Average

The combined average of two groups always lies between the averages of the individual groups (10 < 13 < 15).

Deviation Method

Assume an average (say 10) and calculate the net deviation divided by total count: 10 + [12 × (15 − 10)] ÷ 20 = 10 + 60 ÷ 20 = 13.

Shortcut Trick

Direct multiplication method: Result = Base × 60% × (100% − 30%)

Result = 800 × 0.60 × 0.70

Result = 800 × 0.42 = 336

∴ The correct answer is 336.

Alternate Method

Given: Base number = 800, Step 1 = 60% of base, Step 2 = 30% reduction of Step 1 result.

Formula Used: Value = (Percentage/100) × Number

⇒ First, calculate 60% of 800:

⇒ 60% of 800 = (60 ÷ 100) × 800 = 0.6 × 800 = 480

⇒ Now, find the number which is 30% less than 480:

⇒ Required number = 480 − (30% of 480)

⇒ Required number = 480 − (0.3 × 480) = 480 − 144

⇒ Required number = 336

∴ The correct answer is 336.

Additional Information

Percentage Decrease Formula

To find a value x% less than y, use the formula: New Value = y × (1 − x/100).

Successive Percentage Change

If a value changes by a% and then by b%, the effective change is [a + b + (a × b)/100]%. For decreases, use negative values.

Decimal Conversion

Always convert percentages to decimals for faster manual calculation (e.g., 60% = 0.6, 30% = 0.3).

Shortcut Trick

If Cost Price (CP) of x articles = Selling Price (SP) of y articles, then CP/SP = y/x.

Given: CP × 25 = SP × 30 ⇒ CP/SP = 30/25 = 6/5.

Let CP = 6 units and SP = 5 units. Since CP > SP, there is a Loss.

Loss = CP − SP = 6 − 5 = 1 unit.

Required Ratio = Loss : SP = 1 : 5.

∴ The correct answer is 1 : 5.

Alternate Method

Given:

Cost Price (CP) of 25 articles = ₹197

Selling Price (SP) of 30 articles = ₹197

Calculations:

⇒ Cost Price of 1 article = 197/25

⇒ Selling Price of 1 article = 197/30

⇒ Loss = CP − SP = (197/25) − (197/30)

⇒ Loss = 197 × [(30 − 25) / (25 × 30)] = (197 × 5) / 750 = 197/150

⇒ Ratio = (Loss of 1 article) / (SP of 1 article)

⇒ Ratio = (197/150) / (197/30)

⇒ Ratio = (197/150) × (30/197) = 30/150 = 1/5

∴ The correct answer is 1 : 5.

Additional Information

Profit and Loss Percentage

Profit % = (Profit/CP) × 100 and Loss % = (Loss/CP) × 100. Always calculated on the Cost Price unless stated otherwise.

Ratio of Articles and Prices

When the total amount spent and received is the same, the Price Ratio is the inverse of the Quantity Ratio. If quantities are 25:30, the prices per article are in ratio 30:25.

Selling Price Formula

SP = CP × (100 − Loss%)/100 or SP = CP × (100 + Profit%)/100.

Shortcut Trick

Time taken to empty 1 full tank = 36 min.

To empty 1/4^th of the tank, the time required will be 1/4^th of the total time.

Required time = 36 × 1/4 = 9 min.

∴ The correct answer is 9 min.

Alternate Method

Given:

Total time to empty the tank = 36 min.

Calculations:

⇒ Let the total capacity of the tank be 36 units (LCM of 36).

⇒ Efficiency of the pipe = Total Capacity ÷ Total Time

⇒ Efficiency = 36 ÷ 36 = 1 unit/min (emptying rate).

⇒ Capacity to be emptied = 1/4 × 36 = 9 units.

⇒ Time taken = Capacity to be emptied ÷ Efficiency

⇒ Time taken = 9 ÷ 1 = 9 min.

∴ The correct answer is 9 min.

Additional Information

Pipes and Cisterns Basics

If a pipe can fill a tank in x hours, the part filled in 1 hour = 1/x. Similarly, if an outlet pipe empties it in y hours, the part emptied in 1 hour = 1/y.

Work and Time Relation

Work Done = Rate × Time. For a constant rate, the time taken is directly proportional to the amount of work (or volume) to be completed.

Fractional Work

To find the time for a fraction of work '1/n', simply multiply the total time by the fraction '1/n'.

Shortcut Trick

Total hours for R1 = 18 days × 6 hr/day = 108 hr.

Total hours for R2 = 12 days × 9 hr/day = 108 hr.

Both take equal total hours, so their efficiency is the same.

Combined time = 108 ÷ 2 = 54 hours.

Number of days at 6 hr/day = 54 ÷ 6 = 9 days.

∴ The correct answer is 9 days.

Alternate Method

Given: R1 works 18 days at 6 hr/day and R2 works 12 days at 9 hr/day.

Formula: Total Work = Days × Hours/day × Efficiency

⇒ Total hours for R1 = 18 × 6 = 108 hr.

⇒ Total hours for R2 = 12 × 9 = 108 hr.

⇒ Let Total Work = LCM(108, 108) = 108 units.

⇒ Efficiency of R1 = 108 ÷ 108 = 1 unit/hr.

⇒ Efficiency of R2 = 108 ÷ 108 = 1 unit/hr.

⇒ Combined Efficiency = 1 + 1 = 2 units/hr.

⇒ Total hours needed together = 108 ÷ 2 = 54 hours.

⇒ Number of days working 6 hr/day = 54 ÷ 6 = 9 days.

∴ The correct answer is 9 days.

Additional Information

M-D-H Rule

For the same work, the relationship between men, days, and hours is given by M₁D₁H₁ = M₂D₂H₂.

Efficiency and Time Relation

Efficiency is inversely proportional to the time taken. If the ratio of time taken by two people is a:b, the ratio of their efficiencies is b:a.

Combined Work Formula

If two individuals take X and Y hours respectively, they together take (X × Y) ÷ (X + Y) hours to complete the work.

∴ The correct answer is 9 days.

Shortcut Trick

Equate the percentage coefficients directly by removing the common denominator 100.

LHS: 6 × 1^st + 4 × 2^nd | RHS: 2 × (2 × 1^st + 5 × 2^nd) = 4 × 1^st + 10 × 2^nd.

Balance the 1^st number: 6 − 4 = 2 parts.

Balance the 2^nd number: 10 − 4 = 6 parts.

2 × First Number = 6 × Second Number ⇒ Ratio = 6 : 2 = 3 : 1.

∴ The correct answer is 3 : 1.

Alternate Method

Given:

Let the first number be x and the second number be y.

Formula Used:

The percentage of a number is given by (Rate/100) × Number. Ratio is the comparison of two quantities x : y.

Calculations:

⇒ (6/100)x + (4/100)y = 2 × [(2/100)x + (5/100)y]

⇒ 6x + 4y = 2(2x + 5y)

⇒ 6x + 4y = 4x + 10y

⇒ 6x − 4x = 10y − 4y

⇒ 2x = 6y

⇒ x/y = 6/2

⇒ x/y = 3/1

∴ The correct answer is 3 : 1.

Additional Information

Ratio and Proportion Basics

A ratio compares two quantities. If a : b = c : d, then a × d = b × c (Product of extremes = Product of means).

Linear Equation Solving

To solve for ratios in linear equations, group all terms containing the first variable on one side and the second variable on the other.

Percentage Simplification

When every term in an algebraic equation contains a percentage, the 1/100 factor can be cancelled out from all terms simultaneously to work with integers.

Question) From the alternatives given below, choose the correct meaning of the idiom 'a dog's breakfast'.

The correct answer is: Something that is badly organized or very untidy.

Key Points

• The idiom 'a dog's breakfast' is an informal expression used to describe a situation, piece of work, or object that is badly handled, chaotic, or in a state of total confusion. (अव्यवस्था या गड़बड़झाला)
• Example: The project became a complete dog's breakfast after the lead designer quit halfway through.
• 'Something that is badly organized or very untidy' refers to an unorderly state where things are not in their proper places or a task has been performed poorly. (कुछ ऐसा जो बुरी तरह व्यवस्थित हो या बहुत गंदा हो)
• Example: The kitchen was a dog's breakfast after the kids tried to bake a cake by themselves.
• Thus, it is clear that the idiom perfectly matches the description of being messy or disorganized.

Therefore, the correct answer is- Something that is badly organized or very untidy.

Additional Information

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

• An establishment that functions in a manner similar to a hotel but is usually a private residence (एक निजी निवास जो होटल के समान कार्य करता है): This refers to a Bed and Breakfast (B&B), which offers lodging and morning meals.
• Example: We spent our vacation at a lovely bed and breakfast in the mountains.
• A mattress filled with straw (पुआल से भरा गद्दा): This describes a palliasse, a very basic or old-fashioned type of bedding.
• Example: The travelers had to sleep on a mattress filled with straw in the barn.
• Across a wide area (विस्तृत क्षेत्र में): This refers to something that is widespread or covers a large geographical distance.
• Example: The wildfire smoke spread across a wide area, affecting several neighboring cities.

The correct answer is: Flee.

Key Points

• The word 'escape' means to break free from confinement, control, or a dangerous situation. (बचना / पलायन करना)
• Example: The prisoner managed to escape from the high-security jail last night.
• 'Flee' refers to the act of running away from a place or situation, especially because of fear or danger; it is the closest synonym to escape in the context of getting away from something. (भाग जाना / चंपत होना)
• Example: Many families were forced to flee their homes during the heavy forest fires.
• Hence, we can infer that the closest synonym of 'escape' is 'flee'.

Therefore, the correct answer is: Flee.

Additional Information

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

• Capture (पकड़ना): To take into one's possession or control by force; this is the opposite of escape.
• Example: The soldiers were ordered to capture the enemy leader alive.
• Remain (बने रहना / रुकना): To stay in the same place or to continue to exist when others or other parts are gone.
• Example: Please remain in your seats until the aircraft comes to a complete stop.
• Enter (प्रवेश करना): To come or go into a place or a building.
• Example: You need a special pass to enter the restricted area of the laboratory.

The correct answer is Option(4) i.e. broadcastes.

Key Points

• The term 'broadcastes' is a misspelt word. In standard English, the plural of the noun 'broadcast' is formed by adding only an 's', resulting in 'broadcasts'. (अशुद्ध वर्तनी)
• Example: The draft of the article was flagged for containing several spelling errors, including the word 'broadcastes'.
• 'Broadcasts' refers to the transmission of programs or information by radio or television for public reception. (प्रसारण)
• Example: The radio station is famous for its insightful nightly broadcasts of world news.
• Hence, we can infer that the misspelt word among the given options is 'broadcastes'.

Therefore, the correct answer is: broadcastes.

Additional Information

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

• Journalists (पत्रकार): People who collect, write, or distribute news or other current information to the public.
• Example: Investigative journalists often spend months researching a single story to uncover the truth.
• Censorship (सेंसरशिप): The suppression or prohibition of any parts of books, films, or news that are considered obscene, politically unacceptable, or a threat to security.
• Example: Many citizens were outraged by the government's decision to impose strict censorship on social media.
• Narratives (कहानियां/आख्यान): Spoken or written accounts of connected events; stories or perspectives used to describe a situation.
• Example: Different news outlets can create very different narratives about the same political event.

The correct answer is: Quintillion.

Key Points

• The word 'Quintilion' is misspelt as it lacks the second 'l' required in standard spelling. (अशुद्ध वर्तनी)
• Example: The document contained a typographical error where quintillion was written as 'quintilion'.
• 'Quintillion' is the correct spelling of the word, which refers to a very large number represented by 1 followed by 18 zeros in the US system or 30 zeros in the UK system. (शंख / दस शंख)
• Example: There are an estimated quintillion grains of sand on the Earth's beaches.
• Hence, we can infer that the misspelt word is 'Quintillion' (as it was incorrectly spelled as 'Quintilion').

Therefore, the correct answer is: Quintillion.

Additional Information

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

• Querulous (चिड़चिड़ा / शिकायती): Complaining in a petulant or whining manner.
• Example: The querulous customer complained about the service continuously.
• Quotation (उद्धरण): A group of words taken from a text or speech and repeated by someone other than the original author or speaker.
• Example: The teacher asked the students to write a short essay based on the quotation.
• Quizzical (जिज्ञासु / प्रश्नात्मक): Indicating mild or amused puzzlement.
• Example: She gave him a quizzical look when he made the unusual announcement.

The correct answer is: Untrustworthy.

Key Points

• The word 'Reliable' refers to someone or something that can be trusted to work well or behave in the way that you expect. (भरोसेमंद)
• Example: It is essential to have a reliable backup system for all your digital files.
• 'Untrustworthy' refers to a person or thing that is not able to be relied on as truthful or honest; it represents the lack of reliability. (अविश्वसनीय)
• Example: He proved to be untrustworthy after he failed to keep his promises multiple times.
• Hence, we can infer that the antonym of 'Reliable' is 'Untrustworthy'.

Therefore, the correct answer is: Untrustworthy.

Additional Information

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

• Steady (स्थिर): Something that is firmly fixed, supported, or balanced; not shaking or moving.
• Example: The climber maintained a steady grip on the rocks to avoid falling.
• Dependable (भरोसेमंद): A synonym for reliable; someone who is trustworthy and can be counted on.
• Example: She is a dependable assistant who manages the office efficiently.
• Trustworthy (विश्वसनीय): Another synonym for reliable; someone who is honest and can be trusted with secrets or responsibilities.
• Example: A trustworthy friend is someone you can rely on during difficult times.

The correct answer is The current in the river was too strong for swimming..

Key Points

• The word current is a homonym, meaning it shares the same spelling and pronunciation with other words but holds different definitions based on context.
• In the sentence 'The current in the river was too strong for swimming', the term functions as a noun specifically describing the physical flow or movement of water in a particular direction.
• From a hydrological perspective, a water current is the continuous, directed movement of water generated by forces such as gravity, wind (surface currents), and density differences (thermohaline circulation).
• The velocity of a river current determines its strength; if the kinetic energy of the moving water is too high, it creates a hazard for swimmers and navigation, which is the exact context provided in the correct option.

 Additional Information

• Contextual Usage of 'Current':
• Adjective (Present Time): In the other options (current edition, current affairs, current trends), the word is an adjective meaning belonging to the present time, contemporary, or most recent.
• Electric Current (Physics): This refers to the flow of electric charge (usually electrons) through a conductor. It is measured in Amperes using an ammeter.
• Air Current (Meteorology): This describes the vertical or horizontal movement of air in the atmosphere, which is a primary driver of weather patterns and climatic conditions.
• Ocean Currents: These are large-scale oceanic circulations like the Gulf Stream that transport thermal energy across the globe, significantly impacting global climates.

The correct answer is: Juxtaposition.

Key Points

• The phrase 'the state of being close together, side by side' describes a situation where two or more objects or ideas are positioned in immediate proximity to each other. (पास-पास होने की अवस्था)
• Example: In the city center, the state of being side by side of luxury hotels and small cafes is a common sight.
• 'Juxtaposition' refers to the act or an instance of placing things close together or side by side, especially for the purpose of comparison or contrast. (समीपता / पार्श्व-स्थिति)
• Example: The juxtaposition of the peaceful countryside and the chaotic city was the main theme of the documentary.
• Hence, we can infer that the one-word substitution for the given phrase is 'juxtaposition'.

Therefore, the correct answer is: Juxtaposition.

Additional Information

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

• Kerfuffle (हंगामा): A commotion or fuss, especially one caused by conflicting views or a minor disagreement.
• Example: There was a bit of a kerfuffle at the meeting when the new policy was announced.
• Oxymoron (विरोधाभास): A figure of speech in which apparently contradictory terms appear in conjunction.
• Example: The phrase 'clearly confused' is a common oxymoron used to describe someone's state of mind.
• Contraposition (विपर्यय): In logic, it is the relationship between two propositions such that the second is inferred from the first by negating and swapping their terms.
• Example: The professor explained the concept of contraposition by using simple logical statements on the board.

The correct answer is He is known to be hardworking..

Key Points

• The original sentence They know that he is hardworking consists of a main clause (They know) followed by a subordinate noun clause (that he is hardworking).
• For reporting verbs like know, believe, say, or think followed by a that-clause, the passive voice can be formed using the subject of the subordinate clause as the new passive subject.
• In this transformation, the main verb know (which is in the simple present tense) is changed into the passive form is known to maintain tense consistency.
• The verb in the subordinate clause (is) is then converted into a to-infinitive (to be) to complete the construction.
• Following this rule, He becomes the subject, followed by is known and the infinitive phrase to be hardworking.
• The agent by them is typically omitted in such passive constructions because the focus is on the state of the person being described rather than who knows it.

 Additional Information

• Passive Structures for Reporting Verbs:
• It + Passive Verb: Another correct way to form the passive is It is known that he is hardworking. However, this is not provided in the options with the correct tense.
• Tense Shift Errors: Options using was known are incorrect because the original sentence uses the present tense (know). Changing the tense alters the original meaning and chronological context.
• Infinitive Forms: If the subordinate clause were in the past tense (e.g., he was hardworking), the passive would require a perfect infinitive (to have been), resulting in He is known to have been hardworking.

The correct answer is He was considered to be a genius..

Key Points

• The original sentence is in the Active Voice and follows the Simple Past Tense structure: Subject (People) + V2 (considered) + Object (him) + Object Complement (a genius).
• To convert a Simple Past Tense sentence into Passive Voice, the structure used is: Subject (the former object) + was/were + V3 (Past Participle) + Object Complement.
• The object of the active sentence, him, becomes the subject of the passive sentence in its nominative form, which is He.
• Since the new subject He is singular, the auxiliary verb was is applied, followed by the past participle form of the verb, which remains considered.
• In English grammar, verbs of opinion, belief, or perception (such as consider, believe, think, or know) often use the to be infinitive construction when converted to the passive voice to link the subject to the complement.
• The agent by people is omitted in the passive voice because it is an indefinite or generic subject, and the focus remains on the person being described.

 Additional Information

• Common Errors in Passive Conversion:
• Tense Mismatch: Changing the tense from Past to Present (e.g., using is considered) is a frequent mistake that alters the original meaning.
• Incorrect Verb Forms: Using being (continuous form) in a simple tense construction is grammatically incorrect.
• Subject-Complement Confusion: Treating the complement (a genius) as the primary object leads to awkward and incorrect phrasing like Genius was considered.

The correct answer is 'in'.

Key Points

• The adjective interested is typically followed by the preposition in when referring to a hobby, subject, or activity that someone enjoys.
• The phrase 'interested in something' is a standard collocation used to indicate that someone wants to give their attention to something or learn more about it.
• In the given sentence, Saikrupa expresses a liking for a specific genre of cinema, which is horror movies.
• Options 1, 2, and 3 do not grammatically pair with the word 'interested' in this context.

Therefore, the correct answer is Option 4.

Complete Sentence: 'Saikrupa is very much interested in horror movies.'

Additional Information

• Option 1: 'for' is used to indicate purpose, reason, or duration (e.g., 'This gift is for you').
• Option 2: 'at' is used to indicate a specific point, time, or proficiency (e.g., 'good at English').
• Option 3: 'on' is used to denote position on a surface or specific dates (e.g., 'on the table').

The correct answer is to increase efficiency.

Key Points

• The underlined part is replaced by the infinitive of purpose, which is the most standard grammatical construction in Modern English to express the reason or goal of an action. The to-infinitive (to + base verb) directly connects the action of ordering software to its intended result.
• Using to increase efficiency is more concise and idiomatic than the original prepositional phrase. In formal and business writing, the infinitive phrase is preferred over the for + gerund construction when describing the purpose of a specific human action or decision.
• The omission of the definite article the before efficiency is grammatically sound because efficiency is an uncountable abstract noun used here in a general sense. Referring to the general quality of being efficient does not require a specific determiner unless a particular type of efficiency was previously mentioned.

 Additional Information

• Analysis of incorrect grammatical structures:
• for increased the efficiency: This option is syntactically incorrect because a preposition like for cannot be followed by a finite verb in the past tense. Prepositions typically govern nouns, pronouns, or gerunds.
• for to increase efficiency: This is an archaic or dialectal construction known as a double purpose marker. In standard contemporary grammar, using both a preposition and an infinitive marker to indicate purpose is considered redundant and incorrect.
• Infinitive vs. Gerund: While for + gerund (for increasing) can sometimes describe the function of an object (e.g., 'a pen is for writing'), the to-infinitive is specifically used to show the intention of the subject (the chairman) performing the action.

The correct answer is Option 2.

Key Points

• The paragraph describes the sheltered and joyous life of the narrator before becoming a statue. The sequence follows a logical transition from his environment to his activities, his isolation, and finally his death.
• Sentence S1 is fixed as the opening:
• 'When I was alive and had a human heart,' answered the statue, 'I did not know what tears were, for I lived in the Palace of Sans-Souci, where sorrow is not allowed to enter.'
• Sentence D follows as it describes the narrator's daily routine within the palace mentioned in S1:
• 'In the daytime I played with my companions in the garden, and in the evening I led the dance in the Great Hall.'
• Sentence B comes next because it provides a specific physical description of the garden mentioned in the previous sentence:
• 'Round the garden ran a very lofty wall, but I never cared to ask what lay beyond it, everything about me was so beautiful.'
• Sentence A follows as it reflects on the identity and happiness the narrator felt during that period:
• 'My courtiers called me the Happy Prince, and happy indeed I was, if pleasure be happiness.'
• Sentence C is the final sentence of the jumbled set as it concludes the narrative of his human life:
• 'So, I lived, and so I died.'
• Sentence S2 is fixed at the end, contrasting his past life with his current state as a statue observing misery and ugliness.
• The correct sequence is DBAC.

Coherent paragraph after rearrangement:

'When I was alive and had a human heart,' answered the statue, 'I did not know what tears were, for I lived in the Palace of Sans-Souci, where sorrow is not allowed to enter. In the daytime I played with my companions in the garden, and in the evening I led the dance in the Great Hall. Round the garden ran a very lofty wall, but I never cared to ask what lay beyond it, everything about me was so beautiful. My courtiers called me the Happy Prince, and happy indeed I was, if pleasure be happiness. So, I lived, and so I died. And now that I am dead they have set me up here so high that I can see all the ugliness and all the misery of my city, and though my heart is made of lead yet I cannot choose but weep.'

The correct answer is Option 1.

Key Points

• The paragraph describes the mysterious disappearance of a lighthouse keeper and the subsequent need to fill his vacancy.
• Sentence S1 is fixed: It introduces the event where the lighthouse keeper in Aspinwall disappeared without a trace.
• Sentence C follows S1: It provides the immediate context of the disappearance, mentioning it happened during a storm and offering a supposition that the man was swept out by a wave.
• Sentence B follows C: It uses the phrase 'This supposition' to refer directly back to the theory proposed in sentence C, providing supporting evidence that his boat was also missing.
• Sentence D follows B: Since the man is presumed lost, it logically concludes that the position of the lighthouse keeper has now become vacant.
• Sentence A follows D: It addresses the urgency of filling the vacancy mentioned in D, citing the lighthouse's significance for vessels traveling between New York and Panama.
• Sentence S2 is fixed: It concludes the thought by explaining why navigation is dangerous in that area, mentioning that Mosquito Bay abounds in sandbars and banks.
• The correct sequence is CBDA.

Coherent paragraph after rearrangement:

'One time it happened that the lighthouse keeper in Aspinwall, not far from Panama, disappeared without a trace. Since he disappeared during a storm, it was supposed that the ill-fated man went to the very edge of the small, rocky island on which the lighthouse stood and was swept out by a wave. This supposition seemed the more likely, as his boat was not found next day in its rocky niche. The place of lighthouse keeper had become vacant. It was necessary to fill this place at the earliest moment possible, since the lighthouse had no small significance for the local movement as well as for vessels going from New York to Panama. Mosquito Bay abounds in sandbars and banks.'

The correct answer is was not without its challenges.

Key Points

• The phrase 'not without its challenges' is a standard idiomatic expression in English that employs a double negative (the adverb 'not' combined with the preposition 'without') to affirm the presence of something. In this context, it confirms that the journey was indeed difficult.
• Linguistically, this construction is used to provide rhetorical emphasis. Saying a journey was 'not without' obstacles is often more descriptive and formal than simply stating it was 'with' obstacles or 'challenging.'
• The sentence contains a qualifying clause: 'including unpredictable weather and steep terrain.' Because weather and terrain are explicitly listed as hardships, the main clause must logically acknowledge that challenges existed. Option 1 is the only choice that maintains logical consistency and syntactic correctness.
• The original underlined portion 'was not with' is grammatically incorrect in Standard English. The preposition 'with' denotes association, but when negated as 'not with,' it fails to convey the intended meaning of 'possessing' or 'experiencing' difficulties in this specific sentence structure.
• Option 3, 'was without its challenges,' would imply the journey was entirely smooth and lacked any problems, which is a factual contradiction to the details provided later in the sentence regarding the mountain terrain.

 Additional Information

• Litotes:
• This sentence structure is a classic example of litotes, a figure of speech where an affirmative is expressed by the negative of its contrary.
• It is frequently used in English literature and academic writing to create a more nuanced, understated, or sophisticated tone.
• Possessive Adjectives:
• The word 'its' functions as a possessive adjective referring back to the 'journey.' It ensures the reader understands that the challenges were an inherent part of the climb to the top of the mountain.
• In Sentence Correction, checking the antecedent of pronouns and possessives is a vital step in ensuring grammatical accuracy.