SSC GD Constable 2026 Official Paper (Held On 21 May, 2026 Shift 1) (Previous Year Paper)

The logic followed here is:

The given number series follows a geometric progression where each term is multiplied by 2 to obtain the next term as explained below:

Thus, the missing term in the series is −6912.

Hence, the correct answer is 'Option 1';

The logic followed for the given series is:

Hence, the correct answer is "Option 1".

Logic followed here is.

Hence, the correct answer is "Option 4".

Logic followed here is.

Hence the correct answer is "Option 2".

Logic followed here is.

Hence, the correct answer is "Option 1".

Logic followed here is the step-by-step arrangement of 5 boys (P, Q, R, S, and T) facing North.

1. T is second to the left of P. 2. R is second to the left of Q. 3. R is third to the left of S.

Final Arrangement:

The person sitting at the right end of the row is S.

Hence, the correct answer is "Option 1".

According to the given information, a certain number of persons are facing south in a row. In a south-facing arrangement, the right direction is towards our left and the left direction is towards our right.

Step-by-step derivation:

1) Q is standing second from the right end of the row:

If we number the positions starting from the right end as 1, then Q is at position 2.

2) Only two persons stand between Q and M:

Since Q is at position 2, there are two positions (3 and 4) between them, making M at position 5.

3) S is standing seventh to the left of M:

Facing south, the left direction moves towards higher position numbers. So, S is at position 5 + 7 = 12.

4) Only one person stands between S and O, when counted towards the right of S:

The right direction moves towards lower position numbers. One person between position 12 (S) and O means O is at position 10 (with position 11 being the person between them).

5) O is fourth to the right of R:

If O is to the right of R, then R must be to the left of O (higher number position). R is at position 10 + 4 = 14.

The arrangement can be summarized in the following table:

 

Now, we need to find who stands eighth to the right of O:

Position of O = 10

Counting 8 positions towards the right (lower numbers): 10 − 8 = 2

At position 2, the person standing is Q.

Hence, the correct answer is "Option 1".

Based on the given information, we can determine the arrangement of persons in the row. Since the persons are facing South, their Left and Right directions will be as follows:

• Right direction: Towards the Left side of the viewer.
• Left direction: Towards the Right side of the viewer.

Step-by-step Arrangement:

1. B is standing at the right end of the row.
2. Only three persons stand between B and N.

Position: (Right end) B > _ > _ > _ > N

3. C is standing sixth to the left of N (towards the viewer's right).

Position: B (1) > _ (2) > _ (3) > _ (4) > N (5) > _ (6) > _ (7) > _ (8) > _ (9) > _ (10) > C (11)

4. C is second to the right of L (This means L is at position 13, so that C at 11 is 2^nd to its right).

Position: B (1) ... N (5) ... C (11) > _ (12) > L (13)

5. Only two persons stand between C and P, when counted towards the right of C.

Counting from C (11) towards the right (towards 1): positions 10 and 9 are between them, so P is at position 8.

The final arrangement is as follows:

To find the person standing fifth to the right of L:

Starting from L (position 13) and moving towards the right:

1^st to the right: Position 12

2^nd to the right: Position 11 (C)

3^rd to the right: Position 10

4^th to the right: Position 9

5^th to the right: Position 8 (P)

Therefore, P stands fifth to the right of L.

Hence, the correct answer is "Option 1".

Given:

Total apples = 20

Rotten apples = 4

Calculation:

Good apples = 20 − 4 = 16

Percentage of good apples = (16 / 20) × 100

= 80%

Hence, the correct answer is "Option 2".

The logic followed here is:

Logic: Second Number = First Number + 38

For the first pair 8548 : 8586

⇒ 8548 + 38 = 8586

Applying the same logic to the third pair 5435 : 5473

⇒ 5435 + 38 = 5473

Now, applying the same logic to the second pair to find the missing number

1104 : ?

⇒ 1104 + 38 = 1142

Hence, the correct answer is 'Option 3'.

The logic followed here is:

Logic: Second Number = First Number + 40

For the second pair 5191 : 5231

⇒ 5191 + 40 = 5231

For the third pair 8759 : 8799

⇒ 8759 + 40 = 8799

Applying the same logic to the first pair

? : 6993

⇒ 6993 − 40 = 6953

Hence, the correct answer is 'Option 1'.

Logic followed here is:

Logic:  (Position + 1, Position + 3, Position − 2, Position − 5).

For

LEAK is coded as MHYF →

 

RAFT is coded as SDDO →

 

Similarly, let's find the code for FIFE:

hence, the correct answer is "Option 2".

Logic followed here is.

Logic: Each term in the series consists of two letters and a number. The pattern followed is a constant subtraction applied to each component of the term.

Hence, the correct answer is "Option 3".

The logic followed in this series is based on separate patterns for the letters and the numbers within each term.

Applying the observed patterns, the 5^th term should be EVE50.625.

The term EWE50.60 does not follow the pattern for both the middle letter and the number calculation.

Hence, the correct answer is "Option 2".

Logic followed here is:

The series consists of four components: three letters and a number. Each component follows a specific mathematical pattern based on the positional values of the alphabet and basic arithmetic.

 

The term PLS330 does not follow the logic of the series.

Hence, the correct answer is "Option 2".

Concept:

The hour hand covers 360° in 12 hours.

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

Angular distance covered by the hour hand in 1 minute = 30 / 60 = 0.5°

The minute hand covers 360° in 60 minutes.

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

Calculation:

The given time is between 10 AM and 11 AM. Let the time be 10:M.

Position of the hour hand at 10:M (taking 12:00 as 0°):

Angle = (10 × 30°) + (M × 0.5°) = 300° + 0.5M

Position of the minute hand at 10:M:

Angle = M × 6° = 6M

The absolute difference between these angles is given as 165 degrees:

| (300 + 0.5M) − 6M | = 165

| 300 − 5.5M | = 165

Case 1:

300 − 5.5M = 165

5.5M = 300 − 165

5.5M = 135

M = 135 / 5.5 = 270 / 11

M ≈ 24.545

Rounding to the nearest whole number, M ≈ 25 minutes.

Case 2:

300 − 5.5M = −165

5.5M = 300 + 165

5.5M = 465

M = 465 / 5.5 ≈ 84.54 (This exceeds 60 minutes, so it falls outside the 10 AM to 11 AM range).

Therefore, the time is approximately 10:25 AM.

Alternate Method

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

θ = $|30H - {11 \over 2}M|$

Here, H = 10 and θ = 165°.

165 = |30 × 10 − 5.5M|

165 = |300 − 5.5M|

135 = 5.5M

M = 135 / 5.5 ≈ 24.54

Hence, the approximate time is 10:25 AM.

The correct answer is 10:25.

Given:

The watch is 5 minutes slow at 12:00 AM.

It gains 10 seconds every hour.

Calculation:

Initial loss = 5 minutes = 300 seconds

Gain per hour = 10 seconds

Time required to recover 300 seconds = 300 ÷ 10 = 30 hours

30 hours after 12:00 AM = 6:00 AM (next day)

Since the question asks in AM, the watch will show the correct time again at 6:00 AM.

Hence, the correct answer is "Option 3".

The logic followed here is: The shaded portion inside the circle is moving anti-clockwise and the shapes around the corner are moving in clockwise direction.

Hence, "Option 2" is the correct answer.

The logic followed here is: The object isnide the box is rotating in anti-clockwise direction and number of triangles are decreasing and number of squares are increasing in each step.

Hence, the correct answer is "Option 3".

The logic followed in this series is: Each number of triangles repeats twice — first filled, then outlined. 

Hence, the correct answer is "Option 2".

The correct answer is Urea and uric acid.

Key Points

• The human body generates nitrogenous waste primarily from the metabolism of proteins and nucleic acids.
• Ammonia is the immediate byproduct of protein deamination, which is highly toxic; the liver converts it into urea through the Ornithine cycle (also known as the Urea cycle) to facilitate safe transport in the blood.
• Urea constitutes the largest portion of nitrogenous waste in human urine, and humans are therefore classified as ureotelic organisms.
• Uric acid is a nitrogenous byproduct formed during the catabolism of purines, which are essential components of nucleotides like adenine and guanine found in DNA and RNA.
• The kidneys serve as the primary organ for osmoregulation and excretion, where nephrons perform ultrafiltration to separate these nitrogenous wastes from the bloodstream for elimination.

 Additional Information

• Carbon dioxide and oxygen:
• Carbon dioxide is a byproduct of cellular respiration but is primarily excreted via the lungs through expiration.
• Oxygen is an essential gas required for aerobic respiration and is not a waste product.
• Amino acids and glucose:
• These are vital nutrients; in healthy individuals, the Proximal Convoluted Tubule (PCT) of the kidney reabsorbs nearly 100% of glucose and amino acids back into the blood.
• Fatty acids and glycerol:
• These are products of lipid digestion and are used for energy production or stored in adipose tissues rather than being excreted as nitrogenous wastes.

The correct answer is Plastic.

Key Points

• Non-biodegradable waste is defined as any pollutant or material that cannot be broken down, decomposed, or dissolved by natural agents such as bacteria, fungi, and other microorganisms.
• Plastic is a common example of this category because it is a synthetic polymer primarily derived from petrochemicals like ethylene and propylene, which are not recognized by the enzymes of biological decomposers.
• The molecular structure of plastic features strong carbon-to-carbon bonds that require centuries (often 450 to 1,000 years) to degrade through photodegradation from ultraviolet (UV) light.
• Unlike organic waste, plastic does not return to the biogeochemical cycles; instead, it fragments into microplastics, leading to long-term environmental persistence in landfills and oceans.

 Additional Information

• Biodegradable Waste: This category includes materials that can be efficiently decomposed into carbon dioxide, methane, or organic molecules by microbial action.
• Food Scraps: Composed of organic matter like carbohydrates and proteins, these are readily converted into compost or humus, enriching the soil with nutrients.
• Paper: Manufactured from cellulose fibers obtained from wood pulp; it is easily broken down by cellulolytic microorganisms in the presence of moisture.
• Dead Leaves: Natural plant litter that undergoes mineralization, serving as a critical component of the forest ecosystem by recycling nitrogen and carbon.
• Other common non-biodegradable items include glass, metals, synthetic rubber, and Styrofoam, all of which necessitate specialized recycling or waste management strategies.

The correct answer is Switching from plastic bags to jute bags.

Key Points

• Reduce is the most prioritized component of the waste management hierarchy (Reduce, Reuse, Recycle), focusing on waste prevention by minimizing the amount of material used at the source.
• Switching from plastic bags to jute bags is a primary example of reduction because it eliminates the need for multiple single-use plastic bags that would otherwise end up in landfills or oceans.
• Plastics are derived from petroleum products and are non-biodegradable, often persisting in the environment for hundreds of years, whereas jute is a natural fiber that is biodegradable and sustainable.
• By choosing a long-lasting, reusable jute bag, a consumer effectively reduces the demand for plastic production and the subsequent generation of plastic waste, addressing the problem of environmental pollution at its origin.

 Additional Information

• Reuse:
• Using a paint bucket multiple times is classified as reusing because the item is utilized repeatedly for the same or a new purpose without being processed into a new raw material.
• Recycle:
• Recycling old newspapers involves collecting waste paper and processing it back into pulp to manufacture new paper products, which helps in saving trees and energy compared to virgin production.
• Waste Disposal:
• Throwing items like aluminium cans in the trash is not a management strategy but a form of disposal; however, aluminium is 100% recyclable and should ideally be diverted from the waste stream.
• Environmental Impact:
• Effective source reduction conserves natural resources, reduces greenhouse gas emissions, and saves energy required for the extraction and manufacturing of new products.

The correct answer is Chhatri.

Key Points

• Chhatris are elevated, dome-shaped pavilions that serve as cenotaphs or memorials in Indian architecture, particularly prominent in Rajput and Maratha styles.
• The term is derived from the Sanskrit word for umbrella, symbolizing protection, pride, and honor bestowed upon the deceased.
• These structures are typically built at the cremation sites of royalty and noblemen, serving as a lasting tribute rather than a tomb, as Hinduism generally practices cremation.
• Architecturally, they consist of a raised plinth (Jagati) supporting several pillars, which in turn support a central dome or multiple smaller domes often decorated with inverted lotus motifs.
• Famous examples in Rajasthan include the Royal Gaitor in Jaipur, the Ahar Cenotaphs in Udaipur, and the Bada Bagh in Jaisalmer, showcasing intricate sandstone and marble carvings.

 Additional Information

• Garbhagriha:
• Refers to the sanctum sanctorum or the innermost chamber of a Hindu temple.
• It houses the primary deity and is usually a small, unadorned square room designed for focused worship.
• Stepwell:
• Locally known as Baori, Bawdi, or Vav, these are deep wells with a flight of steps leading to the water level.
• They were essential for water management and social gatherings in the arid regions of Western India.
• Gopuram:
• A monumental, ornate entrance tower characteristic of Dravidian architecture.
• These are found predominantly in South Indian temple complexes, often towering over the main shrine.

The correct answer is Vascular tissue.

Key Points

• Epithelial tissue consists of cells that form a continuous sheet to cover the external body surfaces and line the internal organs and cavities for protection and secretion. Hence, statement 1 is correct.
• Connective tissue is responsible for binding, supporting, and packing various organs of the body, and it includes specialized forms like bone, cartilage, and blood. Hence, statement 2 is correct.
• Muscular tissue is made up of elongated cells called muscle fibers that contain contractile proteins, enabling the body to perform movement and locomotion. Hence, statement 3 is correct.
• Vascular tissue is a specialized conducting tissue found in plants, consisting of Xylem and Phloem, which facilitate the transport of water and nutrients. Hence, statement 4 is incorrect.
• In animals, the components of the circulatory system (veins, arteries, and blood) are classified under epithelial and connective tissues rather than being labeled as a separate 'vascular tissue' category in histology.

 Additional Information

• Primary Animal Tissues:
• Nervous Tissue: Composed of neurons that receive and transmit electrochemical impulses, primarily located in the brain and spinal cord.
• Muscular Tissue Subtypes: Includes Skeletal (striated/voluntary), Smooth (non-striated/involuntary), and Cardiac (heart muscles).
• Epithelial Subtypes: Categorized as Squamous, Cuboidal, or Columnar based on cell shape.
• Plant Vascular System:
• Xylem: Responsible for the unidirectional transport of water and dissolved minerals from roots to leaves.
• Phloem: Responsible for the bidirectional transport of organic nutrients (food) from leaves to other storage organs.

The correct answer is Amphibians.

Key Points

• Amphibians are a class of ectothermic (cold-blooded) vertebrate animals that belong to the group Lissamphibia. They are unique for their dual life cycle, which allows them to inhabit both aquatic and terrestrial environments.
• The term is derived from the Greek words amphi, meaning 'both', and bios, meaning 'life', highlighting their ability to survive in two different habitats.
• Most species undergo metamorphosis, starting as aquatic larvae (like tadpoles) that breathe through gills and maturing into semi-terrestrial adults that typically develop lungs.
• They possess a unique permeable skin that acts as a secondary respiratory organ, allowing for cutaneous respiration (gas exchange through the skin), which must remain moist to function effectively.
• Modern amphibians are divided into three main orders: Anura (frogs and toads), Caudata (salamanders and newts), and Gymnophiona (caecilians).

 Additional Information

• Mammals:
• These are endothermic vertebrates characterized by the presence of mammary glands, which produce milk for nourishing their young.
• They typically have hair or fur, three middle ear bones, and a neocortex region in the brain.
• Most mammals are viviparous (giving birth to live young), though exceptions like the platypus are oviparous.
• Terrestrial Animals:
• This classification refers to animals that live predominantly or entirely on land, such as reptiles, birds, and various arthropods.
• They have evolved specific adaptations such as internal fertilization, hard-shelled eggs, or specialized limbs for movement on solid ground.
• Aquatic Animals:
• These organisms spend their entire lives or the majority of their lives in water, including freshwater systems or marine environments.
• They utilize gills to extract dissolved oxygen or have specialized respiratory systems to surface for air, like cetaceans (whales and dolphins).

The correct answer is They recycle nutrients back into the soil.

Key Points

• Decomposers are organisms, primarily bacteria and fungi, that break down dead or decaying organic matter, including animal remains and leaf litter.
• The biological process of decomposition involves the conversion of complex organic substances into simpler inorganic matter such as carbon dioxide, water, and nutrients.
• By breaking down the detritus, these organisms release essential chemical elements like nitrogen, phosphorus, and potassium back into the ecosystem.
• These recycled nutrients are absorbed by the soil, where they become available for uptake by primary producers (plants) to sustain new growth.
• This function is critical for maintaining ecological balance and completing the nutrient cycle, ensuring that life-sustaining minerals are not permanently lost to the environment.

 Additional Information

• Autotrophic Organisms:
• These are producers, such as green plants and algae, that synthesize their own food using sunlight (photosynthesis) or chemical energy (chemosynthesis).
• Decomposers are actually heterotrophic, specifically saprotrophs, because they rely on external organic sources for energy.
• Consumers and Predators:
• Organisms that eat live animals are known as carnivores or predators, occupying higher trophic levels in the food web.
• Scavengers like vultures initiate the breakdown of large carcasses, but only decomposers finish the process at a molecular level.
• Plant Nutrition:
• While decomposers provide the raw inorganic minerals, plants produce their own 'food' (glucose) via the chloroplasts in their leaves.

The correct answer is V. K. Pandian.

Key Points

• V. K. Pandian, a former bureaucrat turned politician, announced his withdrawal from active politics on June 9, 2024.
• This decision followed the Biju Janata Dal (BJD) party's defeat in the 2024 Odisha Legislative Assembly and Lok Sabha elections, which ended the 24-year governance of Naveen Patnaik.
• He is a former IAS officer of the 2000 batch who served as the Private Secretary to Chief Minister Naveen Patnaik for over a decade before taking voluntary retirement in October 2023.
• After retiring from the civil services, he was appointed as the Chairman of 5T (Transparency, Technology, Teamwork, Time, and Transformation) and Nabin Odisha with a cabinet rank.
• Pandian formally joined the Biju Janata Dal in November 2023 and played a central role in the party's 2024 election campaign strategy.
• In his exit statement, he clarified that his entry into politics was solely to assist his mentor, Naveen Patnaik, and expressed regret if his presence was used as a tool by political opponents to target the party.

 Additional Information

• Naveen Patnaik:
• The founder-president of the Biju Janata Dal and the longest-serving Chief Minister of Odisha (2000−2024).
• Following the 2024 electoral defeat, he took over the role of the Leader of Opposition in the Odisha Assembly.
• Baijayant Panda:
• A senior leader and National Vice President of the Bharatiya Janata Party (BJP).
• He successfully contested and won the Kendrapara Lok Sabha seat in the 2024 general elections.
• Dharmendra Pradhan:
• A prominent BJP leader and the current Union Minister of Education in the Government of India.
• He won the Sambalpur Lok Sabha seat in 2024, marking his return to direct electoral politics after several years in the Rajya Sabha.

The correct answer is Daljit Singh Chaudhary.

Key Points

• Daljit Singh Chaudhary, a distinguished 1990-batch Indian Police Service (IPS) officer of the Uttar Pradesh cadre, was appointed as the Director General (DG) of the Border Security Force (BSF) in August 2024.
• The Appointments Committee of the Cabinet (ACC) approved his appointment for a term ending on November 30, 2025, coinciding with his date of superannuation.
• Prior to this role, he was serving as the Director General of the Sashastra Seema Bal (SSB) and was also holding the additional charge of the National Security Guard (NSG).
• He took over the command from Nitin Agarwal, who was prematurely repatriated to his state cadre by the Union Government.
• This appointment is critical as the BSF is responsible for the internal security and border integrity of India, especially along the Pakistan and Bangladesh frontiers.

 Additional Information

• Border Security Force (BSF):
• Established on December 1, 1965, it is one of the seven Central Armed Police Forces (CAPF) of India.
• It functions under the administrative control of the Ministry of Home Affairs and is headquartered in New Delhi.
• The primary mandate of the BSF is to ensure the security of the borders of India and matters connected therewith; it is often called the First Line of Defence.
• The motto of the force is Jeevan Paryant Kartavya (Duty Unto Death).
• Sashastra Seema Bal (SSB):
• Another CAPF established in 1963, primarily tasked with guarding India's borders with Nepal and Bhutan.

The correct answer is To increase the surface area for absorption.

Key Points

• Villi are tiny, finger-like projections that line the inner walls of the small intestine in the human digestive system.
• The primary function of these structures is to dramatically increase the surface area available for the absorption of digested food molecules into the bloodstream.
• Increased surface area is critical because the rate of nutrient absorption is directly proportional to the surface area in contact with the chyme (partially digested food).
• Each villus contains a network of blood capillaries and a central lymphatic vessel known as a lacteal, which facilitate the immediate transport of nutrients.
• Without villi, the small intestine would need to be considerably longer to absorb the same amount of glucose, amino acids, and fatty acids required by the body.
• The epithelial cells covering the villi further possess microvilli, which together create a brush border, increasing the absorptive surface area by nearly 600 times compared to a flat surface.

 Additional Information

• Lacteals:
• These are specialized lymphatic capillaries located inside each villus.
• They are responsible for absorbing dietary fats and fat-soluble vitamins (A, D, E, and K) that are too large to enter blood capillaries directly.
• Digestive Enzymes:
• While the pancreas and stomach secrete major enzymes, the brush border of the villi also produces enzymes like maltase, sucrase, and lactase to finalize the digestion of carbohydrates.
• Neutralizing Stomach Acid:
• This process is primarily handled by bicarbonate ions released from the pancreas into the duodenum, rather than by the villi themselves.
• Food Breakdown:
• Mechanical breakdown occurs through mastication in the mouth and peristalsis in the stomach; villi only handle the end-stage absorption of the broken-down molecules.

Key Points

• The Aravalli Green Wall Project is a major environmental initiative launched by the Union Ministry of Environment, Forest and Climate Change in March 2023.
• The project is designed to combat desertification and land degradation by creating a 5 km wide green belt buffer around the Aravalli Mountain Range.
• This initiative aligns with Indias goal to restore 26 million hectares of degraded land by 2030, supporting the United Nations Convention to Combat Desertification (UNCCD).
• The primary objective is to act as a barrier against the eastward expansion of the Thar Desert and to improve the ecological health of the region.

Additional Information

• The Aravalli Mountain Range naturally stretches across four regions in North and West India.
• The project specifically covers the states and Union Territories where these hills are located: Gujarat, Rajasthan, Haryana, and Delhi.
• Key activities under this project include afforestation, reforestation, and the restoration of local water bodies (rejuvenation of ponds and lakes).
• While Haryana, Rajasthan, and Gujarat are integral parts of the project area, Maharashtra is situated further south and is not part of the Aravalli geographical corridor.

Conclusion

The Aravalli Green Wall Project includes Gujarat, Rajasthan, Haryana, and Delhi. It does not include Maharashtra. Therefore, the correct answer is Maharashtra.

The correct answer is 4.

Key Points

• The Satellite Launch Vehicle-3 (SLV-3) was India's first experimental satellite launch vehicle, developed by the Indian Space Research Organisation (ISRO).
• The SLV-3 was designed as a four-stage rocket, where every stage utilized solid propellant motors to achieve the necessary velocity for orbital injection.
• The project was spearheaded by the eminent scientist Dr. A.P.J. Abdul Kalam, who served as the Project Director, leading a team of hundreds of engineers and scientists.
• On July 18, 1980, the vehicle was successfully launched from the Sriharikota Range (SHAR), now known as the Satish Dhawan Space Centre.
• The primary mission of the SLV-3 was to place the 40 kg Rohini satellite (RS-1) into a Low Earth Orbit (LEO), a feat that made India the sixth nation to join the exclusive club of space-faring countries.
• The four-stage configuration allowed the rocket to shed mass progressively, ensuring the final stage could reach the speed of approximately 28,000 km/h required for orbit.

 Additional Information

• Technical Specifications of the SLV-3:
• The vehicle stood at a total height of 22.7 meters and possessed a lift-off mass of 17 tonnes.
• All four stages used Hydroxyl Terminated Polybutadiene (HTPB) based solid propellants, which were chosen for their reliability and ease of storage.
• The first stage (S1) was the largest, generating a maximum thrust of 43 tonnes to lift the vehicle off the launch pad.
• Legacy and Successor Vehicles:
• The technological breakthroughs achieved with the four-stage SLV-3 served as the foundation for the Augmented Satellite Launch Vehicle (ASLV).
• It eventually led to the development of the Polar Satellite Launch Vehicle (PSLV), which incorporates both solid and liquid propulsion stages and has become ISRO's most reliable workhorse.
• The success of SLV-3 validated India's capability in multistage propulsion, inertial navigation, and real-time tracking systems.

The correct answer is Faag.

Key Points

• Faag is a traditional folk song genre of Chhattisgarh, predominantly sung to welcome the Spring season (Vasant Ritu).
• These songs are performed during the Hindu month of Phalguna, which typically falls between February and March, marking the transition from winter.
• The performance of Faag is inseparable from the Holi festival celebrations, serving as a medium to express the joy of the 'Festival of Colors'.
• In rural and tribal communities of Chhattisgarh, Faag is a communal activity where singers gather in groups to perform rhythmic and energetic compositions.
• The musical accompaniment usually features traditional instruments like the Nagara (kettledrum), Dholak, and Manjira, which provide the upbeat tempo essential to the genre.
• The lyrical content often highlights the blooming of Palash and Semal flowers, agricultural prosperity, and the divine play of Radha and Krishna.

 Additional Information

• Rai:
• This is a famous folk dance and music tradition of the Bundelkhand region in Madhya Pradesh.
• It is traditionally performed by the Bedia tribe to celebrate weddings, births, and the successful completion of a harvest.
• Kolatam:
• A traditional stick dance originating from Andhra Pradesh and practiced across South India.
• It involves performers moving in a circle and striking wooden sticks in a synchronized rhythmic pattern, similar to the Dandiya Raas.
• Kawini:
• While Chhattisgarh has diverse folk music forms like Pandwani, Panthi, and Soowa, Kawini is not recognized as a primary spring-related folk song of the state.

The correct answer is West Bengal.

Key Points

• Gajan is a traditional folk festival celebrated with great fervor in West Bengal, primarily during the month of Chaitra (March-April), coinciding with the Bengali New Year.
• The Gajan folk songs are an integral part of this ritualistic festival, which is dedicated to the worship of deities like Lord Shiva, Dharmathakur, and Nil.
• The theme of these songs often revolves around a dialogue between gods, particularly Lord Shiva and Parvati, reflecting the agricultural and domestic concerns of the rural population.
• Devotees, known as Sannyasis or Bhaktas, perform these songs while dressed as various deities or mythological characters, accompanied by traditional instruments like the Dhak and Kansar.
• The festival serves as a platform for social equality, where people from various castes participate together in the rituals and singing.

 Additional Information

• Etymology and Forms:
• The term Gajan is believed to be derived from the word Garjan, which means roar, representing the collective chanting of the devotees.
• In the Malda district of West Bengal, a similar folk form called Gambhira is performed, which also includes a dialogue-based interaction with the deity Shiva.
• Other Regional Folk Forms:
• Maharashtra is known for its high-energy folk forms like Lavani and Powada, which focus on storytelling and valor.
• Punjab is famous for Bhangra and Gidda, which are celebratory harvest dances, while Nagaland is known for tribal folk songs like Heliamlo.

The correct answer is PT Usha.

Key Points

• PT Usha, born Pilavullakandi Thekkeparambil Usha, is a legendary Indian track and field athlete often hailed as the Queen of Indian Track and Field.
• The nickname Payyoli Express originates from her hometown, Payyoli, situated in the Kozhikode district of Kerala.
• She gained global recognition during the 1984 Los Angeles Olympics, where she competed in the 400m hurdles and finished fourth, missing the bronze medal by a heartbreaking margin of 0.01 seconds.
• Her career reached its pinnacle at the 1986 Seoul Asian Games, where she won four gold medals and one silver medal, setting multiple games records.
• She was awarded the Padma Shri and the Arjuna Award in 1985 for her stellar achievements in athletics and currently serves as the President of the Indian Olympic Association (IOA).

 Additional Information

• Milkha Singh:
• Widely known as The Flying Sikh, he was a track and field sprinter who won gold at the 1958 Commonwealth Games and multiple Asian Games golds.
• Dutee Chand:
• A professional sprinter and national record holder in the women's 100m event, she is often nicknamed the Chand Express.
• Roshan Mistry:
• She was a pioneering female athlete who became the first Indian woman to win a medal at the Asian Games, securing silver in the 100m sprint at the 1951 New Delhi Games.
• Other Notable Nicknames:
• Hima Das: Known as the Dhing Express, representing the state of Assam.
• Major Dhyan Chand: Known as The Wizard of Hockey due to his extraordinary ball control.

The correct answer is Both I and II.

Key Points

• Narcotics, specifically opioid analgesics such as morphine, methadone, and pethidine, act directly on the central nervous system to alleviate intense pain. A significant physiological side effect of these substances is the depression of the autonomic nervous system, which leads to bradycardia (a notable decrease in heart rate) and reduced blood pressure. Hence, statement I is correct.
• The ingestion of narcotics frequently stimulates the chemoreceptor trigger zone located in the medulla oblongata of the brain. This stimulation, combined with the irritation of the gastrointestinal tract, commonly results in symptoms of nausea and vomiting. These reactions are among the most prevalent acute adverse effects reported by individuals using these substances. Hence, statement II is correct.

 Additional Information

• Narcotics are strictly monitored and banned in-competition by the World Anti-Doping Agency (WADA) because they allow athletes to perform beyond their natural pain threshold, risking severe injury.
• Respiratory Depression: The most severe risk involves a decrease in the respiratory drive, which can lead to inadequate oxygenation of the blood and potentially fatal outcomes.
• Impaired Coordination: These substances cause drowsiness, loss of mental focus, and impaired physical balance, which can lead to accidents during athletic activities.
• Addiction and Tolerance: Long-term use often results in physical dependence and addiction, necessitating higher doses to achieve the same analgesic effect.
• Gastrointestinal Issues: Beyond vomiting, narcotics are notorious for causing chronic constipation by slowing down the motility of the digestive system.

The correct answer is Common Cause & Lokniti.

Key Points

• The Status of Policing in India Report (SPIR) is a comprehensive collaborative study conducted by Common Cause and Lokniti, which is a research program of the Centre for the Study of Developing Societies (CSDS).
• The report aims to provide a data-driven assessment of the Indian police system by capturing the perspectives of both the general citizenry and the police personnel themselves.
• The 2025 edition of the report focuses on identifying structural gaps, the effectiveness of police reforms, and the evolving relationship between the police and the public in the context of new legislative frameworks like the Bharatiya Nyaya Sanhita.
• Unlike official government data, the SPIR utilizes perception-based surveys and fieldwork across multiple states to evaluate levels of trust, discrimination, and adequacy of infrastructure within the force.
• The report is widely used by policymakers, academicians, and civil society to advocate for judicial and administrative reforms in the security sector.

 Additional Information

• Common Cause:
• Founded in 1980 by H.D. Shourie, it is a premier non-profit organization dedicated to championing public interest causes and institutional accountability in India.
• It has played a significant role in historical Public Interest Litigations (PILs) concerning electoral reforms and the right to information.
• NITI Aayog:
• As the National Institution for Transforming India, it serves as the government’s apex policy think tank, replacing the Planning Commission in 2015.
• It publishes significant reports like the SDG India Index and the Export Preparedness Index.
• Ministry of Home Affairs (MHA):
• The nodal ministry responsible for internal security and police administration in India.
• It oversees the National Crime Records Bureau (NCRB), which publishes the official Crime in India annual statistics.
• DARPG:
• The Department of Administrative Reforms and Public Grievances is the nodal agency for formulating administrative reform policies and redressing public grievances.

The correct answer is CSD.

Key Points

• The Council for Social Development (CSD) is a premier research organization established in 1962 as a study group under the India International Centre and later registered as an autonomous body in 1970.
• The India Social Development Report (ISDR) is a flagship biennial publication of the CSD, serving as an essential resource for academics and policymakers since its inception in 2006.
• The report provides a critical analysis of India's social sectors, covering themes like tribal development, education, health, disability, rural livelihoods, and marginalization.
• Dr. Durgabai Deshmukh, a renowned social reformer and freedom fighter, was the Founder President of the CSD, emphasizing research-based advocacy for social justice and human rights.
• The CSD operates out of two main campuses located in New Delhi and Hyderabad, focusing on the social impact of economic policies.

 Additional Information

• NITI Aayog:
• Replaced the Planning Commission on January 1, 2015, to function as the premier policy Think Tank of the Government of India.
• It produces major indices like the SDG India Index, Export Preparedness Index, and the Aspirational Districts Programme reports.
• Ministry of Social Justice and Empowerment:
• Dedicated to the welfare of Scheduled Castes, OBCs, Senior Citizens, and Persons with Disabilities.
• It manages the National Trust for Welfare of Persons with Autism and various social security and pension schemes.
• CPCB (Central Pollution Control Board):
• A statutory organization constituted in 1974 under the Water (Prevention and Control of Pollution) Act.
• It provides technical services to the Ministry of Environment, Forest and Climate Change regarding air and water quality standards and environmental regulation.

The correct answer is Maharishi Valmiki.

Key Points

• Maharishi Valmiki is revered as the Adi Kavi, which translates to the First Poet in the history of Sanskrit literature.
• He is the celebrated author of the Ramayana, one of the two great Sanskrit epics of Ancient India, containing approximately 24,000 shlokas.
• The title Adi Kavi was given to him because he is credited with discovering the Anustubh meter, a rhythmic structure that transformed Vedic Sanskrit into Classical Sanskrit poetry.
• According to tradition, the first poetic shloka was born from his shoka (sorrow) after he witnessed a hunter killing a male Krouncha bird while it was with its mate.
• His epic work is divided into seven chapters known as Kandas, which trace the life, exile, and victory of Lord Rama, establishing the cultural and moral framework of Dharma.

 Additional Information

• Raskhan:
• A 16^th-century poet who was born as Syed Ibrahim Khan but became a devout follower of Lord Krishna.
• He is famous for his Bhakti poetry written in the Braj Bhasha dialect, particularly in his works Sujan Raskhan and Prem Vatika.
• Chanakya:
• Also known as Kautilya or Vishnugupta, he was a master strategist and the prime architect of the Mauryan Empire under Chandragupta Maurya.
• He authored the Arthashastra, an ancient Indian treatise on statecraft, economics, and military strategy.
• Vishakhadatta:
• A renowned Sanskrit playwright from the Gupta period known for his historical and political dramas.
• His most famous work is Mudrarakshasa, which details the political schemes used by Chanakya to secure the throne for the Mauryan dynasty.

The correct answer is A. P. J. Abdul Kalam.

Key Points

• Dr. A. P. J. Abdul Kalam served as the 11^th President of India, holding the office from July 25, 2002, to July 25, 2007.
• Widely regarded as the Missile Man of India, he played a critical role in the development of India's ballistic missile and nuclear weapons programs, including the Pokhran-II nuclear tests in 1998.
• Kalam was an eminent aerospace scientist who made significant contributions to the Indian Space Research Organisation (ISRO) and the Defence Research and Development Organisation (DRDO).
• He was popularly known as the People's President due to his simple lifestyle, accessibility, and his dedication to inspiring the youth and students of the nation.
• He was elected with the support of both the Bharatiya Janata Party (BJP) and the Indian National Congress (INC), making him a rare consensus candidate for the presidency.
• In 1997, he was awarded the Bharat Ratna, India's highest civilian honor, becoming the third President to receive it before entering office.

 Additional Information

• Pratibha Patil:
• She served as the 12^th President of India from 2007 to 2012.
• She holds the distinction of being the first woman President of India.
• Pranab Mukherjee:
• He served as the 13^th President of India from 2012 to 2017.
• A veteran politician, he also served as the Union Finance Minister and was awarded the Bharat Ratna in 2019.
• Shankar Dayal Sharma:
• He served as the 9^th President of India from 1992 to 1997.
• Prior to his presidency, he was the 8^th Vice President of India and served as the Chief Minister of Bhopal.

Shortcut Trick

Apply the BODMAS rule to prioritize operations: Bracket/Of → Division → Addition → Subtraction.

Solve Of and Division first: (24 of 1) = 24 and 47 ÷ 1 = 47.

The expression becomes: 91 − 33 + 28 + 47 + 24.

Group positive values: (91 + 28 + 47 + 24) − 33 = 190 − 33 = 157.

∴ The correct answer is 157.

Alternate Method

Given:

91 − 33 + 28 + 47 ÷ 1 + (24 of 1)

Formula Used:

The BODMAS rule: Brackets, Of, Division, Multiplication, Addition, and Subtraction.

Calculations:

⇒ 91 − 33 + 28 + 47 ÷ 1 + 24 (Solving Of/Bracket: 24 × 1 = 24)

⇒ 91 − 33 + 28 + 47 + 24 (Solving Division: 47 ÷ 1 = 47)

⇒ 58 + 28 + 47 + 24 (Solving Subtraction: 91 − 33 = 58)

⇒ 86 + 47 + 24 (Solving Addition: 58 + 28 = 86)

⇒ 133 + 24 = 157

∴ The correct answer is 157.

Additional Information

BODMAS Rule

Standard order for solving mathematical expressions: Brackets (), Of (multiplication), Division (÷), Multiplication (×), Addition (+), Subtraction (−).

VBODMAS Rule

An extension where V stands for Vinculum (bar bracket), which is solved even before standard brackets.

Operation of Of

In mathematical simplification, the term of represents multiplication but holds higher precedence than division and standard multiplication.

Shortcut Trick

Directly apply the BODMAS rule to the expression: 93 − (36 ÷ 6) + 29 + 42 × 1 − 14 + 18.

Solve Division and Multiplication: 36 ÷ 6 = 6 and 42 × 1 = 42.

Resulting expression: 93 − 6 + 29 + 42 − 14 + 18.

Combine all positive and negative values: (93 + 29 + 42 + 18) − (6 + 14) = 182 − 20 = 162.

∴ The correct answer is 162.

Alternate Method

Given: 93 − (36 ÷ 6) + 29 + 42 × 1 − 14 + 18

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

⇒ 93 − 6 + 29 + 42 × 1 − 14 + 18 (Solving Bracket: 36 ÷ 6 = 6)

⇒ 93 − 6 + 29 + 42 − 14 + 18 (Solving Multiplication: 42 × 1 = 42)

⇒ 87 + 29 + 42 − 14 + 18 (Performing Subtraction: 93 − 6 = 87)

⇒ 116 + 42 − 14 + 18 (Performing Addition: 87 + 29 = 116)

⇒ 158 − 14 + 18 (Performing Addition: 116 + 42 = 158)

⇒ 144 + 18 (Performing Subtraction: 158 − 14 = 144)

⇒ 162 (Final Addition)

∴ The correct answer is 162.

Additional Information

BODMAS / VBODMAS Rule

It defines the order of priority: Vinculum, Bracket, Of/Orders, Division, Multiplication, Addition, and Subtraction.

Operation Grouping

In expressions containing only addition and subtraction, the calculation can be simplified by summing all positive numbers and negative numbers independently before the final subtraction.

Shortcut Trick

Ratio of speeds (S₁ : S₂) = 60 : 90 = 2 : 3.

Since distance is constant, time ratio (T₁ : T₂) = 3 : 2.

Initial time = 180 ÷ 60 = 3 hours.

Difference in time ratio units = 3 − 2 = 1 unit.

As 3 units = 3 hours, then 1 unit = 1 hour.

∴ The correct answer is 1 hr.

Alternate Method

Given:

Distance = 180 km

Initial Speed (v₁) = 60 km/h

New Speed (v₂) = 90 km/h

Formula Used:

Time = Distance ÷ Speed

Calculations:

⇒ Initial time (t₁) = 180 ÷ 60 = 3 hours

⇒ New time (t₂) = 180 ÷ 90 = 2 hours

⇒ Time saved = t₁ − t₂

⇒ Time saved = 3 − 2 = 1 hour

∴ The correct answer is 1 hr.

Additional Information

Relationship between Speed and Time

When distance is constant, Speed is inversely proportional to Time (S ∝ 1/T). If speed increases by a factor, time decreases by the same factor.

Average Speed Formula

For two equal distances covered at speeds x and y, the Average Speed = (2 × x × y) ÷ (x + y).

Unit Conversion

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

Shortcut Trick

Total volume is 36 litres and 12 litres are removed, which is 1/3 of the total.

Remaining volume = 24 litres. Ratio 2:1:1 remains constant in the residual mixture.

In 24 L: Alcohol = 12 L, Acid = 6 L, Water = 6 L.

Add 12 L acid: Alcohol = 12 L, Acid = 18 L, Water = 6 L.

New ratio = 12 : 18 : 6 ⇒ 2 : 3 : 1.

∴ The correct answer is 2:3:1.

Alternate Method

Given: Initial volume = 36 litres, Ratio = 2:1:1, Drawn out = 12 litres, Replaced with Acid.

Formula: Component quantity = (Ratio part ÷ Total parts) × Total volume

Step-by-step Calculation:

⇒ Total parts = 2 + 1 + 1 = 4 units

⇒ Initial quantities: Alcohol = (2/4) × 36 = 18 L, Acid = (1/4) × 36 = 9 L, Water = (1/4) × 36 = 9 L.

⇒ When 12 L mixture is removed, Remaining volume = 36 − 12 = 24 L.

⇒ Remaining quantities (Ratio 2:1:1): Alcohol = (2/4) × 24 = 12 L, Acid = (1/4) × 24 = 6 L, Water = (1/4) × 24 = 6 L.

⇒ 12 L Acid is added to the mixture.

⇒ New quantities: Alcohol = 12 L, Acid = 6 + 12 = 18 L, Water = 6 L.

⇒ New Ratio = 12 : 18 : 6 = 2 : 3 : 1.

∴ The correct answer is 2:3:1.

Additional Information

Mixture Replacement Rule

When a portion of a mixture is removed, the ratio of components in the remaining mixture and the portion removed remains the same as the initial ratio.

Final Ratio Calculation

The final quantity of a component after removal and replacement can be found by adding the added quantity to its residual quantity: Q_final = Q_initial − Q_removed + Q_added.

Ratio Simplification

A ratio a : b : c can be simplified by dividing all terms by their Highest Common Factor (HCF) to represent it in the simplest form.

Shortcut Trick

Use the And/Or formula: Time = Days ÷ [(M_and ÷ M_or) + (W_and ÷ W_or)]

⇒ Time = 20 ÷ [(10 ÷ 5) + (4 ÷ 8)]

⇒ Time = 20 ÷ [2 + 0.5] = 20 ÷ 2.5 = 8 days.

∴ The correct answer is 8 days.

Alternate Method

Given: 5 men or 8 women complete the work in 20 days.

Efficiency: Since 5M = 8W, the ratio of Efficiency (M:W) = 8:5 (1 Man = 8 units/day, 1 Woman = 5 units/day).

⇒ Total Work = Efficiency × Time = (5 × 8) × 20 = 800 units.

⇒ Combined Efficiency of 10 men and 4 women = 10(8) + 4(5) = 80 + 20 = 100 units/day.

⇒ Time Taken = Total Work ÷ Combined Efficiency = 800 ÷ 100 = 8 days.

∴ The correct answer is 8 days.

Additional Information

Chain Rule Formula

For work-related problems, M₁ × D₁ × H₁ ÷ W₁ = M₂ × D₂ × H₂ ÷ W₂, where M is manpower, D is days, H is hours, and W is work.

Pipes and Cisterns

The same efficiency logic applies here; inlet pipes have positive efficiency, while outlet (leakage) pipes have negative efficiency.

Work and Wages

Wages are always distributed in the ratio of the work done by each person, which is (Efficiency × Time).

Shortcut Trick

Check which fraction pair has a cross-product sum that equals the target numerator (5) when using the common denominator (6).

For 1/3 + 1/2: Cross-multiply → (1 × 2) + (1 × 3) = 2 + 3 = 5.

Common denominator: 3 × 2 = 6.

The resulting fraction is 5/6, which matches the target.

∴ The correct answer is 1/3 + 1/2.

Alternate Method

Given: Target sum = 5/6.

Formula Used: To add unlike fractions, use the Least Common Multiple (LCM) of the denominators: a/b + c/d = (ad + bc) / bd.

⇒ Denominators of the selected option are 3 and 2.

⇒ LCM of 3 and 2 = 6.

⇒ Convert 1/3 to an equivalent fraction: (1 × 2) / (3 × 2) = 2/6.

⇒ Convert 1/2 to an equivalent fraction: (1 × 3) / (2 × 3) = 3/6.

⇒ Add the numerators: 2/6 + 3/6 = (2 + 3) / 6 = 5/6.

∴ The correct answer is 1/3 + 1/2.

Additional Information

Addition of Unlike Fractions

To add fractions with different denominators, they must first be converted into like fractions by finding the Least Common Multiple (LCM).

Equivalent Fractions

Multiplying both the numerator and the denominator by the same non-zero number creates an equivalent fraction (e.g., 1/2 = 3/6).

Unit Fractions

A fraction where the numerator is 1 is called a unit fraction. The sum of two unit fractions 1/x + 1/y is always (x + y) / (x × y).

Shortcut Trick

Perform prime factorization of 105: 105 = 3 × 5 × 7.

Observe that 3, 5, and 7 are consecutive odd numbers.

The smallest number in the sequence 3, 5, 7 is 3.

∴ The correct answer is 3.

Alternate Method

Given: The product of three consecutive odd numbers is 105.

Method: Algebraic representation and product estimation.

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

⇒ x × (x + 2) × (x + 4) = 105

⇒ Since the product is 105 (ends in 5), one of the odd numbers must be 5.

⇒ Testing the set around 5: 3 × 5 × 7 = 105.

⇒ The condition is satisfied for numbers 3, 5, and 7.

⇒ Smallest number = 3.

∴ The correct answer is 3.

Additional Information

Consecutive Odd Numbers

Numbers that follow each other by a constant difference of 2. They can be represented as (2n−1), (2n+1), (2n+3) etc.

Properties of Product

If the product of three consecutive numbers (x−d), x, (x+d) is given, the middle term is approximately the cube root of the product.

Divisibility Rule of 5

Any integer ending in 5 or 0 is divisible by 5. In a product of odd numbers ending in 5, at least one factor must be a multiple of 5.

Shortcut Trick

For an odd number of consecutive even numbers, the middle number is always equal to the average.

Average = 42 ÷ 3 = 14

The three numbers are: 14 − 2, 14, 14 + 2 ⇒ 12, 14, 16

Product of smallest and largest = 12 × 16 = 192

∴ The correct answer is 192.

Alternate Method

Given: Sum of three consecutive even numbers is 42.

Let the three consecutive even numbers be x − 2, x, and x + 2.

⇒ (x − 2) + x + (x + 2) = 42

⇒ 3x = 42

⇒ x = 42 ÷ 3 = 14

⇒ Smallest number = x − 2 = 14 − 2 = 12

⇒ Largest number = x + 2 = 14 + 2 = 16

⇒ Required Product = 12 × 16 = 192

∴ The correct answer is 192.

Additional Information

Consecutive Even Numbers

Even numbers that follow each other in order with a constant difference of 2. Example: 2n, 2n+2, 2n+4.

Arithmetic Progression (AP) Property

The average of a set of numbers in AP is exactly the middle term if the number of terms is odd.

Sum of first n even numbers

The sum of the first n consecutive even numbers starting from 2 is given by the formula n(n + 1).

Shortcut Trick

Use the direct formula: Area = (Diagonal)² ÷ 2.

⇒ 81 = d² ÷ 2

⇒ d² = 162

⇒ d = √162 = 9√2 cm.

∴ The correct answer is 9√2 cm.

Alternate Method

Given: Area of the square = 81 cm².

Formula Used: Area = a² and Diagonal (d) = a√2, where 'a' is the side of the square.

⇒ a² = 81

⇒ a = √81 = 9 cm

⇒ Diagonal = a × √2

⇒ Diagonal = 9 × √2 = 9√2 cm

∴ The correct answer is 9√2 cm.

Additional Information

Perimeter of a Square

The total boundary length of a square is given by 4 × side (4a).

Pythagoras Theorem in Square

The diagonal divides the square into two right-angled triangles. d² = a² + a² = 2a², which leads to d = a√2.

Incircle and Circumcircle

Radius of incircle = a/2. Radius of circumcircle = d/2 = a/√2.

Shortcut Trick

Area of a rectangle = Length × Breadth

Area = 14 × 9

Area = 126 cm²

∴ The correct answer is 126 cm².

Alternate Method

Given:

Length (L) = 14 cm

Breadth (B) = 9 cm

Formula Used:

Area of Rectangle = Length × Breadth

Calculations:

⇒ Area = 14 cm × 9 cm

⇒ Area = 126 cm²

∴ The correct answer is 126 cm².

Additional Information

Perimeter of a Rectangle

The perimeter is the total distance around the rectangle, calculated as P = 2 × (Length + Breadth).

Diagonal of a Rectangle

The length of the diagonal can be found using the Pythagoras theorem: d = √(L² + B²).

Square as a Special Rectangle

A square is a special type of rectangle where the length is equal to the breadth (L = B).

Shortcut Trick

Factor out 7 from the Arithmetic Progression: 7 × (1 + 2 + 3 + ... + 20).

Number of terms (n) = 140 ÷ 7 = 20.

Sum of first 20 natural numbers = [20 × 21] ÷ 2 = 210.

Total Sum = 7 × 210 = 1470.

∴ The correct answer is 1470.

Alternate Method

Given:

First term (a) = 7

Common difference (d) = 14 − 7 = 7

Last term (l) = 140

Formula Used:

n = [(l − a) ÷ d] + 1

S_n = (n ÷ 2) × (a + l)

Calculations:

⇒ n = [(140 − 7) ÷ 7] + 1

⇒ n = [133 ÷ 7] + 1

⇒ n = 19 + 1 = 20

⇒ S₂₀ = (20 ÷ 2) × (7 + 140)

⇒ S₂₀ = 10 × 147

⇒ S₂₀ = 1470

∴ The correct answer is 1470.

Additional Information

Arithmetic Progression (AP)

A sequence of numbers where the difference between consecutive terms is constant. The n^th term is given by a_n = a + (n − 1)d.

Sum of First 'n' Natural Numbers

The sum of the first 'n' positive integers is calculated using the formula: S_n = n(n + 1) ÷ 2.

Sum of 'n' terms of an AP

When the first term (a) and the last term (l) are known, the sum is S_n = (n ÷ 2)(a + l).

Shortcut Trick

The Perimeter of a Rectangle is twice the sum of its adjacent sides.

Sum of sides = 5 + 7 = 12 cm.

Perimeter = 2 × 12 = 24 cm.

∴ The correct answer is 24 cm.

Alternate Method

Given:

Length (L) = 5 cm

Breadth (B) = 7 cm

Formula:

Perimeter of Rectangle = 2 × (Length + Breadth)

Calculations:

⇒ Perimeter = 2 × (5 + 7)

⇒ Perimeter = 2 × 12

⇒ Perimeter = 24 cm

∴ The correct answer is 24 cm.

Additional Information

Area of Rectangle

The total surface area enclosed by the boundary, calculated as Area = Length × Breadth.

Diagonal of Rectangle

The line segment connecting opposite vertices, calculated using Pythagoras theorem: Diagonal = √(Length² + Breadth²).

Geometric Properties

A Rectangle is a quadrilateral where all four angles are right angles (90°) and opposite sides are parallel and equal.

Shortcut Trick

The given series is the sum of the first n even numbers starting from 2.

Identify the number of terms (n): n = Last term ÷ 2 ⇒ n = 288 ÷ 2 = 144.

Shortcut formula: Sum = n × (n + 1).

Sum = 144 × (144 + 1) = 144 × 145 = 20880.

∴ The correct answer is 20880.

Alternate Method

Given: The series 2 + 4 + 6 + ... + 288 is an Arithmetic Progression (AP).

First term (a) = 2, Last term (l) = 288, Common difference (d) = 2.

Formula used: n = [(l − a) ÷ d] + 1 and Sum (S_n) = (n ÷ 2) × (a + l).

⇒ n = [(288 − 2) ÷ 2] + 1

⇒ n = [286 ÷ 2] + 1 = 143 + 1 = 144.

⇒ S₁₄₄ = (144 ÷ 2) × (2 + 288)

⇒ S₁₄₄ = 72 × 290

⇒ S₁₄₄ = 20880.

∴ The correct answer is 20880.

Additional Information

Sum of first n natural numbers

The sum of the first n positive integers is calculated as S_n = n(n + 1) ÷ 2.

Sum of first n odd numbers

The sum of the first n consecutive odd numbers starting from 1 is given by S_n = n².

Arithmetic Progression (AP)

Any sequence where the difference between consecutive terms is constant is an AP. The n^th term is a_n = a + (n − 1)d.

Shortcut Trick

Net deviation from the average (50) must be zero.

Deviations: (110−50) + (40−50) + (29−50) + (56−50) + (30−50) + (52−50) = +60 − 10 − 21 + 6 − 20 + 2 = +17.

To balance, the 7^th player deviation must be −17 ⇒ 50 − 17 = 33 runs.

Comparing 33 with other scores: only 29 and 30 are less than 33.

∴ The correct answer is 2 players.

Alternate Method

Given:

Average of 7 players = 50 runs

Runs of 6 players = 110, 40, 29, 56, 30, 52

Formula Used:

Total value = Average × Number of observations

Calculations:

⇒ Total runs of 7 players = 50 × 7 = 350

⇒ Sum of runs of first 6 players = 110 + 40 + 29 + 56 + 30 + 52 = 317

⇒ Runs of 7^th player = 350 − 317 = 33

⇒ Scores lower than 33 from the given list: 29 and 30.

⇒ Number of such players = 2.

∴ The correct answer is 2 players.

Additional Information

Arithmetic Mean

The average or mean is calculated by dividing the sum of all observations by the total number of observations. Formula: Mean = (Σx_i) / n.

Deviation Property

The sum of deviations of a set of values from their arithmetic mean is always zero. This is a very useful property for finding missing values in a series.

Effect of Change in Value

If each observation is increased or decreased by a constant value 'k', the new average will also increase or decrease by 'k'.

Shortcut Trick

Assume the base average is 43.

Remaining 9 numbers have a surplus of (57 − 43) = 14 each.

Total surplus = 9 × 14 = 126.

Net increase in average = Total surplus ÷ Total numbers = 126 ÷ 14 = 9.

Required value m = 43 + 9 = 52.

∴ The correct answer is 52.

Alternate Method

Given:

Total numbers = 14

Average of 14 numbers = m

Average of 5 numbers = 43

Average of remaining (14 − 5 = 9) numbers = 57

Formula Used:

Total Sum = Average × Number of items

Calculations:

⇒ Sum of first 5 numbers = 5 × 43 = 215

⇒ Sum of remaining 9 numbers = 9 × 57 = 513

⇒ Total sum of 14 numbers = 215 + 513 = 728

⇒ Total sum of 14 numbers = 14 × m

⇒ 14 × m = 728

⇒ m = 728 ÷ 14

⇒ m = 52

∴ The correct answer is 52.

Additional Information

Weighted Average Formula

When a group is divided into two parts with counts n₁, n₂ and averages A₁, A₂, the total average A = (n₁A₁ + n₂A₂) ÷ (n₁ + n₂).

Net Deviation Principle

The sum of deviations of all observations from their arithmetic mean is always zero. This is used for faster calculation in deviation method.

Sum of First n Natural Numbers

The average of the first n natural numbers is (n + 1) ÷ 2 and their total sum is [n(n + 1)] ÷ 2.

Shortcut Trick

The difference between the two percentages given is 24% − 11% = 13%.

According to the question, this 13% gap is equal to the value 117.

⇒ 13% → 117

⇒ 1% → 117 ÷ 13 = 9

⇒ 100% (The number) → 9 × 100 = 900

∴ The correct answer is 900.

Alternate Method

Given:

Addition value = 117

First percentage = 11%

Resulting percentage = 24%

Formula Used:

Number = (Value × 100) ÷ (Percentage Difference)

Calculations:

Let the number be x.

⇒ (11/100) × x + 117 = (24/100) × x

⇒ 117 = (24x/100) − (11x/100)

⇒ 117 = 13x / 100

⇒ x = (117 × 100) ÷ 13

⇒ x = 9 × 100

⇒ x = 900

∴ The correct answer is 900.

Additional Information

Percentage Change

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

Fractional Equivalents

Percentages can be simplified into fractions for faster calculation, e.g., 25% = 1/4, 20% = 1/5, and 12.5% = 1/8.

Base Value Property

In mathematical statements, 'percent of a number' implies multiplication between the percentage rate and the number (Base).

Shortcut Trick

Find the Cost Price (CP): CP = SP + Loss = 4000 + 1000 = 5000.

Loss % = (Loss ÷ CP) × 100.

Loss % = (1000 ÷ 5000) × 100 = 1/5 × 100 = 20%.

∴ The correct answer is 20%.

Alternate Method

Given:

Selling Price (SP) = ₹4000

Loss = ₹1000

Formula Used:

Cost Price (CP) = Selling Price (SP) + Loss

Loss Percentage = (Loss ÷ Cost Price) × 100

Calculations:

⇒ Cost Price (CP) = ₹4000 + ₹1000

⇒ CP = ₹5000

⇒ Loss Percentage = (1000 ÷ 5000) × 100

⇒ Loss % = (1 ÷ 5) × 100

⇒ Loss % = 20%

∴ The correct answer is 20%.

Additional Information

Profit Percentage

Profit % = (Profit ÷ Cost Price) × 100. It is always calculated on the base of the purchase price.

Relation between CP and SP

If SP > CP, there is a Profit. If CP > SP, there is a Loss.

Successive Changes

When multiple profit/loss percentages are applied, the net change is found using a + b + (a × b)/100.

Shortcut Trick

Total Work (LCM of 30, 70) = 210 units.

Efficiency of M = 210 ÷ 30 = 7 units/day.

Efficiency of N = 210 ÷ 70 = 3 units/day.

Combined Efficiency = 7 + 3 = 10 units/day.

Work completed in 6 days = 10 × 6 = 60 units.

Percentage work = (60 ÷ 210) × 100 = 200/7.

∴ The correct answer is 200/7.

Alternate Method

Given:

Time taken by M = 30 days

Time taken by N = 70 days

Formula Used:

Work Done = Efficiency × Time

Percentage of work = (Work Done ÷ Total Work) × 100

Calculations:

⇒ Total Efficiency of (M + N) = 7 + 3 = 10 units/day

⇒ Work done in 6 days = 10 × 6 = 60 units

⇒ Percent of total work completed = (60 ÷ 210) × 100

⇒ Percentage = (2 ÷ 7) × 100

⇒ Percentage = 200/7

∴ The correct answer is 200/7.

Additional Information

Relationship between Efficiency and Time

Efficiency is inversely proportional to the time taken to complete a work. If the ratio of time is a:b, then the ratio of efficiency is b:a.

Total Work formula

Total Work = LCM of individual days taken by each person. This allows for integer values of efficiency.

Combined Work Formula

If A takes X days and B takes Y days, they complete (1/X + 1/Y) work in one day.

Shortcut Trick

Total hours for R1 = 15 × 6 = 90 hours.

Total hours for R2 = 10 × 9 = 90 hours.

Combined time for both = (90 × 90) ÷ (90 + 90) = 45 hours.

Required days (working 6 hr/day) = 45 ÷ 6 = 7.5 days.

∴ The correct answer is 7.5 days.

Alternate Method

Given:

Total time for R1 = 15 × 6 = 90 hours.

Total time for R2 = 10 × 9 = 90 hours.

Target working hours = 6 hours per day.

⇒ Combined Efficiency of R1 and R2 = 1 + 1 = 2 units/hour.

⇒ Total hours needed together = Total Work ÷ Combined Efficiency

⇒ Total hours = 90 ÷ 2 = 45 hours.

⇒ Days required (at 6 hr/day) = Total hours ÷ 6

⇒ Days required = 45 ÷ 6 = 7.5 days.

∴ The correct answer is 7.5 days.

Additional Information

Work, Time and Efficiency

The fundamental formula is Total Work = Efficiency × Time. If work is constant, efficiency and time are inversely proportional.

Combined Rate Formula

When two people work together, the time taken is T = (T₁ × T₂) ÷ (T₁ + T₂), provided the units of time are the same.

Pipes and Cisterns

This concept also applies to pipes and cisterns, where an inlet pipe does positive work and an outlet pipe (leak) does negative work.

Shortcut Trick

Initial Boys : Girls ratio = 3 : 2 (Sum = 5 units)

Final Boys : Girls ratio = 2 : 3 (Sum = 5 units)

Since 3 boys left and 3 girls joined, the Total number of students remains the same.

Change in boys ratio part = 3 − 2 = 1 unit.

Equating 1 unit to the 3 boys who left, 1 unit = 3.

∴ The correct answer is 9.

Alternate Method

Given:

Initial Ratio of Boys and Girls = 3 : 2

New Ratio after change = 2 : 3

Change = 3 boys leave (−3) and 3 girls join (+3)

Let the initial number of Boys be 3x and Girls be 2x.

⇒ (3x − 3) / (2x + 3) = 2 / 3

⇒ 3 × (3x − 3) = 2 × (2x + 3)

⇒ 9x − 9 = 4x + 6

⇒ 9x − 4x = 6 + 9

⇒ 5x = 15

⇒ x = 3

⇒ Initial number of boys = 3x = 3 × 3 = 9.

∴ The correct answer is 9.

Additional Information

Ratio Scaling

If the total sum of the ratio parts (a+b) is the same for both the initial and final ratios, the unit change in one component directly reflects the actual quantity changed.

Cross Multiplication in Ratios

For any ratio change represented as (ax ± k₁) / (bx ± k₂) = m / n, we can solve for x to find initial values.

Constant Sum Property

When one item is removed and another is added in the same quantity, the total strength remains constant, facilitating easier ratio comparison.

The correct answer is: Option (4) i.e. 'You have a world of opportunities before you and can do anything you want or go anywhere you want because you have the ability and freedom to achieve your desires'.

Key Points

• The idiom 'the world is your oyster' is used to describe a situation where someone has the freedom and ability to take advantage of the many opportunities that life offers them. (पूरी दुनिया आपके लिए अवसरों से भरी है)
• Example: With her excellent education and strong work ethic, the world is her oyster.
• The phrase 'You have a world of opportunities before you...' highlights that an individual is in a privileged position to choose any path they desire and succeed in it. (आपके पास अवसरों की पूरी दुनिया है और आप जो चाहें कर सकते हैं)
• Example: After winning the scholarship, the young student felt that the world was his oyster.
• Hence, we can infer that the correct meaning of the idiom is having unlimited possibilities and the liberty to pursue them.

Therefore, the correct answer is- You have a world of opportunities before you and can do anything you want or go anywhere you want because you have the ability and freedom to achieve your desires.

Additional Information

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

• 'Outlook affected or altered negatively' (दृष्टिकोण या जीवनशैली का नकारात्मक रूप से बदल जाना): This refers to a major change, often due to a traumatic event, that disrupts one's life.
• Example: Her entire world was turned upside down after the tragic accident.
• 'Drastically alter one's outlook' (मौलिक रूप से अपने दृष्टिकोण या जीवन के तरीके को बदलना): This involves making fundamental changes to how one lives or thinks.
• Example: Moving to a different country can fundamentally alter one's outlook on life.
• 'Acknowledge negative result' (संभावित नकारात्मक परिणाम को स्वीकार करना): This is used when someone is about to say something that might offend others or cause trouble.
• Example: At the risk of sounding repetitive, I must emphasize the importance of safety.

The correct answer is: Refresh.

Key Points

• The word 'renew' means to resume an activity after an interruption or to make something effective for a further period; it involves restoring something to its original state or making it new again. (नवीकरण करना/फिर से नया करना)
• Example: The lease for the apartment was set to expire, so they decided to renew it for another year.
• 'Refresh' refers to the act of giving new strength or energy to someone or something; it means to reinvigorate, restore, or update. (ताज़ा करना/नया करना)
• Example: You can refresh the web page to see the most recent updates on the scores.
• Hence, we can conclude that 'refresh' is the closest synonym to 'renew' as both convey the idea of restoration or starting fresh.

Therefore, the correct answer is: Refresh.

Additional Information

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

• Cancel (रद्द करना): To decide or announce that a planned event, appointment, or order will not take place.
• Example: The flight was cancelled due to heavy fog at the airport.
• Destroy (नष्ट करना): To damage something so badly that it cannot be repaired, or to end the existence of something.
• Example: The earthquake managed to destroy several old structures in the town.
• Break (तोड़ना): To separate into pieces as a result of a blow, shock, or strain.
• Example: Be careful not to break the fragile ornaments while packing them.

The correct answer is electricity.

Key Points

• In spelling evaluations, the term electricity is a frequently tested word due to phonetic confusion where the letter 'c' is often mistakenly replaced by 's' (resulting in the misspelling 'electrisity').
• The correct spelling of the noun is electricity, which refers to the form of energy resulting from the existence or flow of charged particles.
• Structurally, it is derived from the adjective electric combined with the suffix -ity (used to denote a state or quality), tracing its etymological roots back to the New Latin word electricus.

 Additional Information

• gridlock:
• This is a compound noun formed by combining grid and lock, denoting a complete halt in movement or progress within a system.
• threaten:
• This is a transitive verb meaning to state one's intention to take hostile action or present an impending danger.
• ability:
• This noun is defined as the possession of the physical or mental power, skill, or means needed to do something.

The correct answer is: Quiwer.

Key Points

• The word 'Quiwer' is misspelt and does not exist in the English dictionary; the correctly spelled word is 'Quiver'. (गलत वर्तनी वाला शब्द)
• Example: The misspelt word 'Quiwer' was highlighted in red by the spell-checker.
• 'Quiver' means to tremble or shake with a slight rapid motion, often due to strong emotion, cold, or nervousness. (थरथराना/कांपना)
• Example: A quiver of fear ran through her body as she entered the dark room.
• Hence, we can infer that the misspelt word among the options is 'Quiwer'.

Therefore, the correct answer is: Quiwer.

Additional Information

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

• quarter (एक चौथाई): One of four equal parts into which something is or can be divided.
• Example: We cut the apple into four quarters to share it among the children.
• Query (प्रश्न/शंका): A question, especially one expressing doubt or requesting information.
• Example: If you have a query about the project, please feel free to ask.
• quench (प्यास बुझाना/शांत करना): To satisfy a thirst by drinking or to extinguish a fire.
• Example: They stopped at the well to quench their thirst after the long hike.

The correct answer is: Ignore.

Key Points

• The word 'Recognize' means to identify someone or something from having encountered them before; to know again. (पहचानना)
• Example: I could barely recognize my old school friend after twenty years.
• 'Ignore' refers to the act of intentionally refusing to take notice of or acknowledge someone or something; to disregard something. (अनदेखा करना)
• Example: It is dangerous to ignore safety warnings while operating heavy machinery.
• Hence, we can infer that the antonym or opposite of the word 'recognize' is 'ignore'.

Therefore, the correct answer is: Ignore.

Additional Information

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

• Identify (पहचान करना): To establish or indicate who or what someone or something is.
• Example: The witness was asked to identify the suspect from a group of people.
• Acknowledge (स्वीकार करना): To accept or admit the existence or truth of something.
• Example: He finally decided to acknowledge his mistakes and apologize.
• Know (जानना): To be aware of something through observation, inquiry, or information.
• Example: Do you know the way to the nearest hospital?

The correct answer is The rose in the garden smells sweet..

Key Points

• In statement 1, the word rose is the past tense of the irregular verb rise, indicating the action of waking up or getting out of bed at an early time. Hence, statement 1 is incorrect.
• In statement 2, rose functions as a concrete noun referring to the fragrant bloom of a woody perennial plant, specifically within the context of a garden. Hence, statement 2 is correct.
• In statement 3, rose serves as a verb that describes an increase in intensity or the ascension of an abstract quality, such as courage, in response to a situation. Hence, statement 3 is incorrect.
• In statement 4, rose is used as an intransitive verb to describe the physical act of a crowd standing up to express opposition or protest. Hence, statement 4 is incorrect.

 Additional Information

• Linguistic Context of Homonyms
• Homonyms: The word rose is a homonym (specifically both a homograph and a homophone) because it shares the same spelling and sound but has unrelated meanings depending on its part of speech.
• Syntactic Function: Identification of the correct meaning relies on syntactic clues; nouns typically follow articles like the or a, while verbs follow subjects and indicate actions.
• Botanical Attributes of the Rose
• Taxonomy: The rose belongs to the genus Rosa within the family Rosaceae, which includes over 300 species.
• Characteristics: These plants are known for their prickly stems, pinnate leaves, and the production of essential oils that give the flower its distinctive sweet scent.

The correct answer is Option (3) i.e. Gumption.

Key Points

• The phrase 'shrewd common sense and initiative' refers to a quality of having practical intelligence and the drive to take action independently and resourcefully. (व्यावहारिक समझ और पहल)
• Example: The young entrepreneur showed great shrewd common sense and initiative in identifying a gap in the market.
• 'Gumption' refers to the ability to decide what is the best thing to do in a particular situation and to do it with resourcefulness and boldness. (साहस और बुद्धिमत्ता)
• Example: It took a lot of gumption for her to quit her steady job and start her own non-profit organization.
• Hence, we can infer that the one-word substitution for 'shrewd common sense and initiative' is 'gumption'.

Therefore, the correct answer is- Gumption.

Additional Information

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

• Contrition (पछतावा): The state of feeling remorseful and penitent for a past wrong.
• Example: He expressed deep contrition for the mistake that led to the team's loss.
• Equanimity (धीरज): Mental calmness, composure, and evenness of temper, especially in a difficult situation.
• Example: She faced the stressful situation with her usual equanimity and kept everyone calm.
• Travesty (प्रहसन): A false, absurd, or distorted representation of something.
• Example: The trial was considered a travesty of justice by many legal experts.

The correct answer is It is believed that she will marry soon..

Key Points

• The original sentence People believe she will marry soon consists of a Subject (People), a Reporting Verb (believe), and a Noun Clause acting as the object (she will marry soon).
• When a sentence contains a Reporting Verb followed by a that-clause, the Passive Voice can be formed using the Impersonal It construction.
• The reporting verb believe is in the Simple Present Tense. To convert this into the passive form, we use the structure is/am/are + Past Participle (V3). Since It is a singular subject, it takes is believed.
• The structure for this specific passive conversion is: It + passive reporting verb + that-clause. The that-clause itself (she will marry soon) typically remains unchanged in this format.
• The phrase by people is often omitted in the passive voice because the subject is general or obvious, making the final sentence It is believed that she will marry soon.

 Additional Information

• Reporting Verbs:
• Verbs such as say, think, consider, expect, know, and report follow the same passive transformation rules.
• An alternative passive structure involves moving the subject of the that-clause to the start: Subject + passive reporting verb + to-infinitive. For example, She is believed to marry soon.
• Analysis of Incorrect Options:
• Option 1: Uses an incorrect grammatical structure to be marry. In English, to be must be followed by a past participle or an adjective, not a base verb.
• Option 3: Changes the tense from Present (believe) to Past (was believed) and the modal will to would. Passive voice must maintain the original tense of the active sentence.
• Option 4: This is merely a rearrangement of the active voice and does not use the passive verb form (be + V3).

The correct answer is How was Othello manipulated by Iago?.

Key Points

• The given sentence 'How did Iago manipulate Othello?' is in the Active Voice and follows the Interrogative structure of the Simple Past Tense.
• In the Active Voice, the structure for a Simple Past question is: 'Wh-word + did + subject + base verb (V1) + object?'. Here, Iago is the subject, manipulate is the verb, and Othello is the object.
• To convert a Simple Past interrogative sentence into Passive Voice, the structure changes to: 'Wh-word + was/were + new subject (original object) + past participle (V3) + by + agent (original subject)?'.
• The object of the active sentence, Othello, becomes the subject of the passive sentence. Since Othello is a singular noun, the auxiliary verb was is used.
• The base verb 'manipulate' is transformed into its past participle form, which is manipulated.
• The original subject, Iago, is placed at the end of the sentence preceded by the preposition by.
• Applying these rules results in the sentence: 'How was Othello manipulated by Iago?'.

 Additional Information

• Voice Conversion Rules:
• Subject-Object Swap: The subject and object must exchange places while maintaining the logical meaning of the sentence.
• Tense Retention: The Passive Voice must reflect the same tense as the Active Voice. If the question uses did (Simple Past), the passive must use was/were.
• Past Participle: Regardless of the tense, the main verb in Passive Voice is always in the third form (V3).
• Iago and Othello: These are central characters in William Shakespeare's tragedy, Othello, where Iago acts as the antagonist who deceives the protagonist.

The correct answer is 'with'.

 

Key Points

• The phrase 'in love' is an idiomatic expression that is followed by the preposition 'with' when referring to the person or thing that is the object of affection.
• The standard grammatical structure is: Subject + Verb (be) + in love + with + Someone.
• In this sentence, Pruthwiraj is the subject and 'the woman' is the object of his love. Even though the preposition appears at the end of the relative clause, 'with' is the correct choice to complete the idiom.
• Options 1, 2, and 3 are grammatically incorrect because they do not form the standard idiom used to express romantic affection.

Therefore, the correct answer is Option 4.

 

Complete Sentence: 'That is the woman Pruthwiraj was in love with.'

 

Additional Information

• Option 1: 'of' is incorrect; while we can say 'fond of' or 'scared of', we do not use 'in love of'.
• Option 2: 'for' is incorrect; although one can have 'love for' someone (noun usage), the phrase 'in love' (adjective phrase) requires 'with'.
• Option 3: 'in' is incorrect; the word 'in' is already used within the phrase 'in love', and using it again would be redundant and illogical.

The correct answer is translated into practical application for the welfare of society.

Key Points

• The verb translate, when used to describe the process of changing or converting an idea, theory, or abstract concept into a physical form or action, is idiomatically followed by the preposition into. In this context, translated into correctly signifies the transformation of knowledge into practical application. Hence, the use of into is the most grammatically appropriate choice.
• The preposition in used in the original sentence is incorrect because it typically denotes a state, position, or location within something. It fails to convey the dynamic transition or conversion required when moving from an intellectual state to an active state. Hence, the original sentence requires improvement.
• The phrase for the welfare of society is the most balanced construction. The preposition for indicates the purpose or beneficiary of the action, while the definite article 'the' before welfare provides the necessary formal structure for a specific abstract noun phrase. Hence, this phrasing is superior to the alternatives provided in other options.
• Therefore, the improved sentence correctly aligns the phrasal verb and prepositional usage to ensure clarity and grammatical accuracy. Hence, the correct answer is translated into practical application for the welfare of society.

 Additional Information

• Prepositional Nuances:
• Translate To: This is often used when discussing equivalence (e.g., 100 degrees Celsius translates to 212 degrees Fahrenheit) or a direct result. While sometimes used for conversion, it is less common than into for expressing a change in nature or state.
• Translate As: This phrasal verb is specifically used for interpretation or assigning a meaning to a particular behavior or statement (e.g., her silence was translated as a refusal). It is not suitable for implementing concepts.
• Welfare: This term refers to the well-being or prosperity of a group. In academic and legal contexts, the welfare of society is a standard collocation used to describe actions taken for the public good.

The correct answer is Option 4.

Key Points

• The passage follows a narrative sequence involving the characters Ratan and the postmaster, focusing on a conversation about Ratan's past.
• S1 is the fixed starting sentence, which describes Ratan entering with a hookah bowl.
• Sentence B follows S1 because it provides a direct physical and verbal response to Ratan's entry:
• 'Taking it from her, the postmaster would say abruptly, ‘So, Ratan, do you remember your mother?’’ Here, 'taking it' refers back to the hookah bowl mentioned in S1.
• Sentence C follows B as it describes Ratan's reaction to the postmaster's question:
• 'She had lots to tell him: some things she remembered, others she did not.' This sentence bridges the gap between the question and the specific memories.
• Sentence A follows C by narrowing down the memories to her parents:
• 'Her father loved her more than her mother did - she remembered him a little.' This introduces the father as a central figure in her recollections.
• Sentence D is the fourth sentence as it elaborates on the memory of her father:
• 'He used to come home in the evening after working hard all day, and one or two evenings were clearly etched in her memory.' This provides a specific detail about the father’s routine mentioned in sentence A.
• The sequence concludes with S2, which describes Ratan's physical proximity to the postmaster as she continues her storytelling.
• The correct sequence is BCAD.

Coherent paragraph after rearrangement:

Soon Ratan came in, puffing out her cheeks as she blew on the bowl of the hookah. Taking it from her, the postmaster would say abruptly, ‘So, Ratan, do you remember your mother?’ She had lots to tell him: some things she remembered, others she did not. Her father loved her more than her mother did - she remembered him a little. He used to come home in the evening after working hard all day, and one or two evenings were clearly etched in her memory. As she talked, Ratan edged nearer to the postmaster and would end up sitting on the ground at his feet.

The correct answer is Option 3.

Key Points

• The paragraph describes the preparations made for an inspection of a railway line. The fixed first sentence (S1) establishes the context: Once the Chief came to inspect the line.
• Sentence C follows S1 as it provides the reason for the Chief's inspection and the timeline:
• 'Three days later important personages were coming from St. Petersburg and would pass over the line.'
• Sentence A follows C because it explains the purpose of the visit by the important personages ('They'):
• 'They were conducting an inquiry, so that previous to their journey it was necessary to put everything in order.'
• Sentence D follows A as it details the specific physical actions taken to 'put everything in order' as mentioned in the previous sentence:
• 'Ballast was laid down, the bed was levelled, the sleepers carefully examined, spikes driven in a bit, nuts screwed up, posts painted, and orders given for yellow sand to be sprinkled at the level crossings.'
• Sentence B follows D as a concluding detail of the preparation process involving the community:
• 'The woman at the neighbouring hut turned her old man out to weed.'
• The sequence ends with the fixed sentence S2, summarizing the duration of this intensive preparation: 'Semyon worked for a whole week.'
• The logical sequence is CADB.

Coherent paragraph after rearrangement:

'Once the Chief came to inspect the line. Three days later important personages were coming from St. Petersburg and would pass over the line. They were conducting an inquiry, so that previous to their journey it was necessary to put everything in order. Ballast was laid down, the bed was levelled, the sleepers carefully examined, spikes driven in a bit, nuts screwed up, posts painted, and orders given for yellow sand to be sprinkled at the level crossings. The woman at the neighbouring hut turned her old man out to weed. Semyon worked for a whole week.'

Therefore, the correct answer is Option 3 (CADB).

The correct answer is No improvement required.

Key Points

• The original sentence is grammatically correct and maintains a formal tone suitable for describing business or political negotiations. It effectively uses a non-restrictive relative clause ('which were already difficult') to provide supplementary information about the state of the negotiations.
• The word already is an adverb of time used correctly here to indicate that the difficulty was a pre-existing condition before the situation escalated further.
• The phrase even more complicated is a standard and precise way to form a comparative degree of an adjective. The word even acts as an adverb of degree, providing emphasis to show that the complexity increased from an already high baseline.
• The subject-verb agreement and tense consistency are maintained throughout the sentence, with both were and became appearing in the simple past tense to describe a completed series of events.

 Additional Information

• Analysis of incorrect phrasing:
• Complexed: In Option 1, the word complexed is typically used in psychology (referring to a person having a complex) or chemistry (referring to the formation of a complex). It is not a standard synonym for complicated in general English usage.
• Got complicated more and more: Option 2 uses a repetitive and colloquial structure. In formal writing, became is preferred over got, and even more is more concise than more and more.
• Felt more difficult: Option 3 introduces subjectivity by using the verb felt, which describes a perception rather than the objective fact of the situation. Additionally, changing already to now alters the temporal logic of the sentence.