SSC GD Constable 2026 Official Paper (Held On 09 May, 2026 Shift 2) (Previous Year Paper)

Logic followed here is,

−405 − 10 = −415

−415 − 10 = −425

−425 − 10 = −435

−435 − 10 = −445

−445 − 10 = −455 (But the series mentions −453)

−455 − 10 = −465

−465 − 10 = −475

Hence, the correct answer is “Option 4”.

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Pattern followed here is,

Hence, the correct answer is “Option 4”.

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Pattern followed here is,

 

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Hence, the correct answer is “Option 2”.

For the set '(BW, ZR, XM)':

For the set '(OE, MZ, KU)':

Applying the same logic to the option '(CN, AI, YD)':

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Hence, the correct answer is 'Option 4'.

Logic followed here is,

−413 − 10 = −423

−423 − 11 = −434

−434 − 12 = −446

−446 − 13 = −459

−459 − 14 = −473

−473 − 15 = −488

−488 − 16 = −504

Hence, the correct answer is “Option 1”.

Logic followed here is,

384 - 20 = 364

364 - 21 = 343

343 - 22 = 321

321 - 23 = 298

298 - 24 = 274

274 - 25 = 249

249 - 26 = 223

Hence, the correct answer is “Option 2”.

Given that 5 bowlers A, B, C, D and E have taken different numbers of wickets.

From the given clues, we can deduce the following relationships:

1. Wickets taken by C are less than both E and B but more than A.

→ E, B > C > A

2. Wickets taken by D are the least.

→ E, B > C > A > D

3. Since E and B both have more wickets than C, their relative order is not fixed, but both are above C.

→ Possible order: B/E > E/B > C > A > D

4. Therefore, only one bowler (D) has taken fewer wickets than A.

Combining all the facts gives the final order from highest to lowest wickets:

→ B/E > E/B > C > A > D

Thus, the number of bowlers having fewer wickets than A is 1.

Hence, the correct answer is "Option 1".

Given that there are 6 boys A, B, C, D, E and F with different marks.

From the clues, we can deduce the following relationships:

1. Marks of C are the least.

→ _ > _ > _ > _ > D > C

2. Marks of A are more than only D and C.

→ _ > _ > _ > A > D > C

3. Marks of B are more than F but less than E.

→ E > B > F

4. Since A is more than only D and C, A cannot be above E, B or F.

→ Therefore, E, B and F must all have more marks than A.

Combining all these facts gives the final order from highest to lowest:

→ E > B > F > A > D > C

Thus, the boy having the highest marks is E.

Hence, the correct answer is "Option 3".

Pattern followed here is,

Similarly,

Hence, the correct answer is “Option 1”.

Pattern followed here is,

Similarly,

Hence, the correct answer is “Option 3”.

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AJ150 : YH243:

KG300 : IE393:

Similarly,

For, SL310 : ?

 

Hence, the correct answer is "Option 4".

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ZYX160 : VUS320  

JLR180 : FHM360

Similarly,

? : ATK240 

Hence, the correct answer is 'Option 2'.

The logic followed here is:

Logic: First Number − 41 = Second Number

For the first pair 6276 : 6235

⇒ 6276 − 41 = 6235

For the second pair 3592 : 3551

⇒ 3592 − 41 = 3551

Applying the same logic to the third pair

? : 7054

⇒ ? − 41 = 7054

⇒ ? = 7054 + 41 = 7095

Hence, the correct answer is 'Option 1'.

The logic followed here is:

Logic: Second Number = (First Number ÷ 2) − 3

For the first pair 324 : 159

⇒ (324 ÷ 2) − 3

⇒ 162 − 3 = 159.

For the second pair 1710 : 852

⇒ (1710 ÷ 2) − 3

⇒ 855 − 3 = 852.

Applying the same logic to the third pair

680 : ?

⇒ (680 ÷ 2) − 3

⇒ 340 − 3 = 337.

Hence, the correct answer is 'Option 3'.

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PALL is coded as LWHH →

GREY is coded as CNAU →

Similarly,

let us find the code for PULP:

Hence, the correct answer is “Option 4”.

For GREAT is coded as 84 →

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Sum of opposite positional values = 20 + 9 + 22 + 26 + 7 = 84

For TEST is coded as 44 →

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Sum of opposite positional values = 7 + 22 + 8 + 7 = 44

Similarly, for PEAR:

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Sum of opposite positional values = 11 + 22 + 26 + 9 = 68

Hence, the correct answer is “Option 4”.

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Pattern followed here is,

Hence, the correct answer is “Option 2”.

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Pattern followed here is,

Hence, the correct answer is “Option 4”.

The given time is 3:20 PM.

Angle covered by the hour hand from 12 o'clock:

For 3 hours = 3 × 30 = 90°

For 20 minutes = 20 × 1/2 = 10°

Total angle covered by the hour hand = 90 + 10 = 100°

Angle covered by the minute hand from 12 o'clock:

For 20 minutes = 20 × 6 = 120°

The angle between the hour hand and minute hand = 120° − 100° = 20°

Hence, the angle between the hands is 20°.

Alternate Method

The angle between the hour hand and minute hand = $|60H - 11M| \over 2$

Here, H = 3 and M = 20.

Angle = $|(60 \times 3 - 11 \times 20)| \over 2$

Angle = $|180 - 220| \over 2$

Angle = $|-40| \over 2$ = 20°

Hence, the correct answer is 20°.

Important Points 

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°

Minute hand covers 360° in 60 minutes.

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

The time interval from 7 AM to 7 PM on the same day is calculated as:

Total time elapsed = 12 hours

Given that the clock gains 5 seconds every 15 minutes.

First, find the gain per hour:

1 hour = 60 minutes

Number of 15-minute intervals in one hour = 60 ÷ 15 = 4 intervals

Gain in 1 hour = 4 × 5 seconds = 20 seconds

Now, calculate the total gain over the 12-hour period:

Total gain = 12 × 20 seconds = 240 seconds

Convert the total gain from seconds to minutes:

Gain in minutes = 240 ÷ 60 = 4 minutes

At 7 PM, the correct time is exactly 7:00:00 PM. Since the clock has gained 4 minutes, the time it shows will be:

Time shown = 7:00:00 PM + 4 minutes = 7:04:00 PM

Hence, the correct answer is “Option 1”.

The correct answer is Ireland.

Key Points

• The Directive Principles of State Policy (DPSP) are contained in Part IV of the Constitution of India, covering Articles 36 to 51.
• The concept was borrowed from the Irish Constitution of 1937, which had itself borrowed it from the Spanish Constitution.
• These principles serve as guidelines or instruments of instruction for the government to establish a socialist, secular, and democratic state as envisioned in the Preamble.
• Unlike Fundamental Rights, the DPSPs are non-justiciable, meaning they cannot be enforced by a court of law; however, they are fundamental in the governance of the country.
• The primary objective of these principles is to ensure social and economic justice and to transform India into a Welfare State.

 Additional Information

• Other major sources of the Indian Constitution include:
• United States of America: Source for Fundamental Rights, Judicial Review, Preamble, and the Impeachment of the President.
• United Kingdom: Contributed the Parliamentary form of government, Rule of Law, Single Citizenship, and the Cabinet System.
• Canada: Provided the framework for a Federation with a strong Centre, Residuary Powers with the Centre, and the Advisory jurisdiction of the Supreme Court.
• Australia: Inspired the Concurrent List and the Joint Sitting of the two houses of Parliament.
• Soviet Union (USSR): The concept of Fundamental Duties and the ideals of justice (social, economic, and political) in the Preamble.

The correct answer is Bihar.

Key Points

• In the Indian political system, a bicameral legislature refers to a state government that consists of two distinct houses: the Legislative Assembly (Vidhan Sabha) and the Legislative Council (Vidhan Parishad).
• Article 168 of the Indian Constitution provides for the constitution of legislatures in states. While most states have a unicameral system, Bihar is one of the few that maintains both houses.
• The Bihar Legislative Council is a permanent body and was first established in 1912. It represents the upper house of the state legislature, ensuring a system of checks and balances over the popularly elected Legislative Assembly.
• Currently, only six states in India have a bicameral arrangement: Andhra Pradesh, Telangana, Uttar Pradesh, Bihar, Maharashtra, and Karnataka.

 Additional Information

• Unicameral States:
• States like Haryana, Rajasthan, and Himachal Pradesh possess a unicameral legislature, meaning they only have the Legislative Assembly.
• In these states, the legislative process is streamlined into a single house, and all legislative powers are vested in the Vidhan Sabha.
• Constitutional Provisions for Legislative Councils:
• Under Article 169, the Parliament of India has the authority to create or abolish a Legislative Council in a state if the Legislative Assembly of that state passes a resolution by a special majority.
• The total number of members in the Legislative Council of a state cannot exceed one-third of the total membership of the Legislative Assembly and must not be less than 40.
• Members of the Legislative Council (MLCs) are chosen through various methods, including election by local bodies, graduates, teachers, and nomination by the Governor.

The correct answer is Main workers, marginal workers, and non-workers.

Key Points

• The Census of India classifies the entire population into three categories based on economic activity: Main Workers, Marginal Workers, and Non-workers.
• Main Workers are individuals who worked for a major part of the reference year, specifically for at least 183 days (six months) or more. This group constitutes the primary workforce contributing to the Gross Domestic Product (GDP).
• Marginal Workers are those who worked for less than 183 days in the reference year. This category often includes seasonal laborers in the Agricultural sector or temporary workers in the informal economy.
• Non-workers are persons who did not participate in any economically productive activity during the entire reference period. This includes students, rentiers, dependents, pensioners, and individuals engaged in unpaid household duties.
• According to the 2011 Census, the work participation rate in India was approximately 39.8 percent, meaning nearly 60 percent of the population were classified as non-workers.

 Additional Information

• Conceptual Distinctions:
• Agricultural, Industrial, and Service Workers: These terms describe the Three-Sector Model of an economy rather than the specific demographic classification used by the Registrar General of India.
• Organized and Unorganized: These refer to the regulatory framework of employment. The unorganized sector comprises units typically not registered with the government and where labor laws are not strictly enforced.
• Migrant Workers: This classification is based on the place of birth or place of last residence being different from the place of enumeration, rather than employment duration.
• Census Sub-categories:
• The Census further divides workers into four broad occupational categories: Cultivators, Agricultural Labourers, Household Industry Workers, and Other Workers (including trade, commerce, and construction).
• Data from the 2011 Census highlighted that Agricultural Labourers and Cultivators still make up the largest portion of the Indian workforce, despite the growing Service Sector.

The correct answer is Food Safety and Standards Act, 2006.

Key Points

• The Food Safety and Standards Act, 2006 was enacted to consolidate various existing laws related to food safety and standards into a single, comprehensive framework in India.
• This Act mandated the establishment of the Food Safety and Standards Authority of India (FSSAI), which serves as the apex statutory body for regulating food products and ensuring their safety for human consumption.
• The legislation aimed to replace a multi-level, multi-departmental control system with a single integrated line of command, shifting from a regulatory to a self-compliance based approach.
• It repealed several older and overlapping laws, including the Prevention of Food Adulteration Act, 1954, the Fruit Products Order, 1955, the Meat Food Products Order, 1973, and the Edible Oils Packaging (Regulation) Order, 1998.
• The FSSAI operates under the administrative jurisdiction of the Ministry of Health and Family Welfare and is responsible for framing science-based standards and guidelines for food items.

 Additional Information

• National Food Security Act, 2013:
• The primary objective is to provide nutritional security by ensuring access to adequate quantities of quality food at subsidized prices to approximately two-thirds of India's population.
• It grants legal entitlements to existing programs like the Public Distribution System (PDS) and the Mid-Day Meal Scheme.
• Competition Act, 2002:
• This Act replaced the MRTP Act, 1969 and established the Competition Commission of India (CCI) to prevent practices that have an adverse effect on market competition.
• It regulates mergers, acquisitions, and anti-competitive agreements to ensure fair trade and consumer welfare.
• Consumer Protection Act, 2019:
• It replaced the 1986 legislation to address modern challenges such as e-commerce and misleading advertisements.
• It established the Central Consumer Protection Authority (CCPA) to protect, promote, and enforce the rights of consumers as a class.

The correct answer is rice and wheat.

Key Points

• The Green Revolution in India was launched in the mid-1960s (around 1966-67) to transform the country into a self-reliant nation in food grain production.
• The core of this movement was the introduction of High Yielding Variety (HYV) seeds, which were scientifically developed to produce more grain per plant compared to traditional seeds.
• The revolution primarily focused on wheat and rice. For wheat, semi-dwarf varieties like Lerma Rojo and Sonora 64 were imported from Mexico, which were highly resistant to lodging and responsive to fertilizers.
• For rice, the IR8 variety (developed at the International Rice Research Institute in the Philippines) was introduced, which significantly increased yields in tropical conditions.
• These HYV seeds are characterized by a shorter life cycle, allowing farmers to engage in multiple cropping, and are often referred to as dwarf varieties because of their shorter stems.

 Additional Information

• Key Personalities:
• M.S. Swaminathan: Known as the Father of the Green Revolution in India, he collaborated with global scientists to adapt seeds to Indian agro-climatic zones.
• Norman Borlaug: Known as the Father of the Green Revolution worldwide, his development of high-yield Mexican wheat earned him the Nobel Peace Prize.
• Essential Inputs:
• Irrigation: HYV seeds require a continuous and controlled water supply, which led to the expansion of canal systems and tube wells in states like Punjab and Haryana.
• Chemical Fertilizers: The success of these seeds is heavily dependent on the intensive use of NPK (Nitrogen, Phosphorus, Potassium) fertilizers to maximize growth.
• Geographical Concentration:
• The initial phase of the revolution was highly concentrated in North India, specifically in Punjab, Haryana, and Western Uttar Pradesh, where agricultural infrastructure was relatively better.
• Other Options:
• While jowar and bajra (millets) and mustard (oilseeds) are vital crops, they were not the primary focus of the first phase of the Green Revolution, which prioritized staples to tackle acute food shortages.

The correct answer is Both I and II.

Key Points

• The Chola inscriptions (9th to 13th centuries) provide a meticulous record of land administration, classifying land into several distinct categories based on the recipient and the purpose of the grant.
• Shalabhoga was the specific nomenclature used for land designated for the maintenance of a school. The term is derived from Shala (educational institution) and Bhoga (possession or enjoyment), indicating that the revenue from such lands was exclusively utilized for educational purposes and supporting scholars. Hence, statement I is correct.
• Devadana and Tirunamattukkani refer to lands gifted to temples. These grants were vital for the socio-economic role of temples in the Chola period, allowing them to function as centers of religious, cultural, and economic activity. Such lands were often exempt from tax or had their revenues redirected to the temple treasury. Hence, statement II is correct.

 Additional Information

• The Chola land revenue system also recognized other significant categories:
• Vellanvagai: This was land held by non-Brahmana peasant proprietors. It represented the most common form of landholding and was the primary source of state revenue.
• Brahmadeya: These were lands donated to Brahmanas. These grants led to the emergence of prosperous Brahmana settlements, particularly in the fertile Kaveri valley, where local assemblies known as Sabhas managed the land.
• Pallichchhandam: This category referred to land donated to Jaina institutions, reflecting the pluralistic religious patronage of the Chola monarchs.
• Land Grants: These grants were typically recorded on copper plates or engraved on the stone walls of temples to ensure permanence and legal validity, detailing the boundaries and the rights of the donees.

The correct answer is Annapurna Devi.

Key Points

• In November 2024, the Union Minister for Women and Child Development, Annapurna Devi, officially launched the Bal Vivah Mukt Bharat (Child Marriage Free India) campaign to eliminate the social evil of child marriage.
• The campaign is designed to be a Jan Andolan (people’s movement), encouraging community participation to ensure every child is protected from early marriage and provided with opportunities for education and growth.
• The initiative emphasizes the effective implementation of the Prohibition of Child Marriage Act, 2006, and seeks to empower local governance bodies like Panchayats to monitor and prevent such instances.
• This movement is part of the government's broader vision of Viksit Bharat, recognizing that ending child marriage is crucial for improving Maternal and Child Health and overall human development indices.

 Additional Information

• Annapurna Devi:
• She is a senior political leader serving as the Union Minister of Women and Child Development since June 2024.
• Before her current role, she served as the Union Minister of State for Education, where she focused on foundational literacy and the National Education Policy (NEP) 2020.
• Child Marriage Regulations in India:
• The legal age for marriage in India is currently 18 years for females and 21 years for males.
• Violations under the Prohibition of Child Marriage Act can lead to rigorous imprisonment of up to two years and a fine of up to 1 lakh rupees.
• The government also utilizes the Childline 1098 service as a critical tool for reporting and intervening in cases of potential child marriages.

The correct answer is Mohenjodaro.

Key Points

• The Dancing Girl is a world-renowned bronze statuette created approximately in 2500 BCE during the peak of the Harappan Civilization.
• It was unearthed in 1926 by British archaeologist Ernest Mackay in the residential quarters of the Mohenjodaro site, located in present-day Sindh, Pakistan.
• The figurine stands 10.5 centimeters tall and is a prime example of the lost-wax casting (cire-perdue) method, where molten bronze is poured into a clay mold, demonstrating advanced metallurgical skills.
• The sculpture depicts a young woman in a confident standing position, wearing a large number of bangles (approximately 24 on the left arm and 4 on the right), a necklace, and her hair tied in a neat bun.
• British archaeologist Mortimer Wheeler famously described her as a girl perfectly confident of herself and the world, highlighting the sophisticated social status and artistic expression of women in the Indus Valley Civilization.
• Currently, this masterpiece is preserved and displayed at the National Museum in New Delhi, India.

 Additional Information

• Lothal:
• Located in the Bhal region of Gujarat, it served as the vital maritime trade hub of the civilization.
• It is famous for possessing the world's first artificial brick dockyard, which was connected to the old course of the Sabarmati River.
• Chanhudaro:
• Situated south of Mohenjodaro, it was exclusively an industrial town focused on craft production and shell-working.
• It is the only Harappan city found without a citadel and yielded evidence of bead-making factories and use of kohl and lipsticks.
• Ropar:
• Located on the banks of the Sutlej River in Punjab, India, it was the first site excavated after Indian Independence.
• Excavated by Y.D. Sharma in 1953, it provided evidence of a unique burial practice where a dog was buried along with a human.

The correct answer is One-fourth of the total membership of either House.

Key Points

• The President of India can be removed from office by a process of impeachment for the 'violation of the Constitution' as per Article 61.
• The process can be initiated by either House of Parliament (Lok Sabha or Rajya Sabha) by framing specific charges.
• To initiate the impeachment proceedings, the charges must be contained in a resolution that has been signed by at least one-fourth of the total membership of the House in which the charge is originated.
• A 14 days' notice in writing, signed by the required number of members, must be given to the President before the resolution can be moved.
• After the resolution is moved, it must be passed by a special majority of two-thirds of the total membership of that House.

 Additional Information

• Investigation by the Second House:
• Once the first House passes the resolution, the other House investigates the charges or causes them to be investigated.
• The President has the right to appear and to be represented at such an investigation to defend themselves.
• Final Resolution:
• If the investigating House also sustains the charges and passes the impeachment resolution by a majority of two-thirds of the total membership, the President stands removed from office.
• The removal is effective from the date on which the resolution is so passed by the second House.
• Participation Details:
• The nominated members of either House of Parliament can participate in the impeachment, although they do not vote in the Presidential election.
• The elected members of the Legislative Assemblies of States and Union Territories do not participate in the impeachment process.
• Article 56: Provides that the President shall hold office for a term of five years but can be removed via the procedure laid down in Article 61.

The correct answer is Hypothalamus.

Key Points

• The Hypothalamus is a small but critical region of the forebrain located below the thalamus, functioning as the main control center for the autonomic nervous system and the endocrine system.
• It produces the Growth Hormone-Releasing Hormone (GHRH), frequently referred to as the growth hormone-releasing factor, which is a peptide hormone consisting of 44 amino acids.
• The hypothalamus releases GHRH into the hypophyseal portal system, a network of blood vessels that connects the hypothalamus to the anterior pituitary gland.
• Upon reaching the anterior pituitary, GHRH binds to specific receptors on somatotropic cells, triggering the synthesis and secretion of Growth Hormone (GH) or somatotropin into the bloodstream.
• The hypothalamus also produces Somatostatin, which acts as the Growth Hormone-Inhibiting Hormone (GHIH), providing a regulatory feedback loop to maintain hormonal balance.

 Additional Information

• Pituitary Gland:
• Often called the Master Gland, it is located in a bony cavity called the sella turcica.
• It is responsible for secreting the actual Growth Hormone (GH), not the releasing factor.
• Thyroid Gland:
• Located in the neck region, it secretes Thyroxine (T4) and Triiodothyronine (T3).
• These hormones regulate the Basal Metabolic Rate (BMR) and physical and mental growth.
• Thymus Gland:
• A lobular structure located between the lungs behind the sternum.
• It secretes Thymosins, which play a major role in the differentiation and maturation of T-lymphocytes for cell-mediated immunity.

The correct answer is Gonds.

Key Points

• Laru Kaj is a significant traditional and religious festival celebrated primarily by the Gond tribe in the Mandla, Jabalpur, and Seoni districts of Madhya Pradesh.
• The festival is dedicated to Lord Narayan Deo, who is revered as the guardian deity of the household and the protector of the family.
• The central ritual of Laru Kaj involves the sacrifice of a pig, which is carried out with elaborate ceremonies to please the deity and seek blessings for health, prosperity, and happiness.
• This festival is not an annual event for every household; it is typically performed once every nine or twelve years by a family, or upon the fulfillment of a specific vow or during a marriage.
• During the celebration, traditional Gondi songs are sung, and community feasts are organized, reinforcing the social bonds and cultural heritage of the Gond community.

 Additional Information

• Bhils:
• Recognized as the largest tribal group in India, predominantly residing in Dhar, Jhabua, and West Nimar.
• They are famous for the Bhagoria Haat festival, a traditional celebration involving matchmaking and cultural dance.
• Baigas:
• Considered a Particularly Vulnerable Tribal Group (PVTG), they reside mainly in the Maikal range of eastern Madhya Pradesh.
• They are known for their deep knowledge of medicinal herbs and traditional Karma dance.
• Sahariyas:
• Another PVTG concentrated in the northwestern districts like Morena, Sheopur, and Gwalior.
• They are traditionally wood-cutters and gatherers of forest produce, with a unique culture influenced by the Rajasthan border.

The correct answer is Guru Ghasidas-Tamor Pingla tiger reserve.

Key Points

• The Ministry of Environment, Forest and Climate Change officially notified the Guru Ghasidas-Tamor Pingla Tiger Reserve in Chhattisgarh as the 56th tiger reserve of India in November 2024.
• This new reserve was formed by integrating the Guru Ghasidas National Park and the Tamor Pingla Wildlife Sanctuary, spanning across the districts of Manendragarh-Chirmiri-Bharatpur, Koriya, and Surajpur.
• It covers a massive area of approximately 2,829.38 square kilometers, making it the third largest tiger reserve in the country, trailing only the Nagarjunasagar Srisailam Tiger Reserve in Andhra Pradesh and Manas Tiger Reserve in Assam.
• The notification follows the recommendation of the National Tiger Conservation Authority (NTCA), aiming to strengthen the tiger habitat in the Chota Nagpur plateau and Baghelkhand regions.
• This reserve serves as a vital ecological corridor, connecting tiger populations between the Sanjay-Dubri Tiger Reserve in Madhya Pradesh and the Palamau Tiger Reserve in Jharkhand.

 Additional Information

• Bandhavgarh Tiger Reserve:
• Located in Madhya Pradesh, it is famous for having one of the highest densities of Royal Bengal Tigers in the world and houses the ancient Bandhavgarh Fort.
• Sundarbans Tiger Reserve:
• Situated in West Bengal, this UNESCO World Heritage Site is the largest mangrove forest globally and is the only mangrove habitat where tigers are found.
• Kanha Tiger Reserve:
• Located in Madhya Pradesh, it is the largest national park in Central India and is well-known for successfully reintroducing the Barasingha (Swamp Deer).
• Tiger Conservation in India:
• Project Tiger was launched on April 1, 1973, to protect the national animal. India currently hosts about 75 percent of the global wild tiger population according to recent census data.

The correct answer is Neither I nor II.

Key Points

• Ultrasound imaging, also referred to as sonography, is a diagnostic medical procedure that uses high-frequency sound waves to produce visual representations of the inside of the body, particularly soft tissues and organs. Hence, statement I is incorrect.
• The Liver is one of the primary organs evaluated through abdominal ultrasound. It allows clinicians to check for hepatomegaly (enlarged liver), fatty liver disease, cirrhosis, and malignant tumors or cysts. Hence, statement I is incorrect.
• The Gallbladder is routinely and effectively imaged using ultrasound to detect gallstones (cholelithiasis), inflammation known as cholecystitis, and blockages in the bile ducts. It is the gold standard for gallbladder evaluation due to its high sensitivity. Hence, statement II is incorrect.
• Since both the liver and the gallbladder are standard organs that are frequently and successfully imaged using ultrasound technology, neither of them fits the criteria of an organ that is NOT imaged. Hence, statement II is incorrect.

 Additional Information

• Diagnostic Scope of Ultrasound:
• Abdominal Imaging: Beyond the liver and gallbladder, it is used for the pancreas, spleen, and kidneys.
• Obstetrics: Widely known for monitoring fetal development and uterine health during pregnancy.
• Echocardiography: A specialized ultrasound used to visualize heart valves, chambers, and blood flow patterns.
• Limitations: Ultrasound waves cannot easily penetrate bone or pass through air/gas. Consequently, organs like the lungs or the gastrointestinal tract (which contains gas) are difficult to image using this specific modality.
• Safety: Unlike X-rays or CT scans, ultrasound does not use ionizing radiation, making it safe for sensitive patients.

The correct answer is PDI = Personal Income - Personal tax payments - Non-tax payments.

Key Points

• Personal Disposable Income (PDI) is the actual amount of income available to the household sector for consumption and savings after all mandatory government deductions are made.
• Personal Income (PI) refers to the total income received by individuals, including wages, salaries, rent, interest, and transfer payments (unearned income like pensions), before any direct taxes are subtracted.
• To calculate PDI, one must subtract Personal Tax Payments, which primarily consist of direct taxes such as Income Tax, Wealth Tax, and Property Tax.
• The calculation also requires the deduction of Non-tax Payments, which include miscellaneous payments to the government such as fines, administrative fees, license fees, and penalties.
• The fundamental equation used in Macroeconomics is: PDI = Personal Income − Personal Tax Payments − Non-tax Payments.
• This metric is a more accurate representation of the purchasing power of the public than National Income or Personal Income alone.

 Additional Information

• Income Flow in the Indian Economy:
• National Income (NI) is the total value of goods and services produced. Personal Income is derived by subtracting Undistributed Profits, Net Interest Payments by households, and Corporate Taxes from NI, and adding Transfer Payments.
• Disposable Income is subsequently used to determine the Average Propensity to Consume (APC) and Average Propensity to Save (APS).
• Significance for Policy:
• Changes in the Income Tax slabs in the Union Budget directly affect the PDI of the citizens.
• Higher Personal Disposable Income generally stimulates aggregate demand and encourages economic growth through increased consumer spending.

The correct answer is 1964.

Key Points

• The Indian Open, currently known as the Hero Indian Open due to sponsorship, was established in 1964 as the premier national open golf championship of India.
• The inaugural tournament was held at the prestigious Delhi Golf Club (DGC) in New Delhi, which has served as the most frequent venue in the history of the event.
• Legendary Australian golfer Peter Thomson, a five-time winner of The Open Championship, was the visionary behind the creation of this tournament to promote the sport in Asia.
• Peter Thomson cemented his legacy in Indian golf by winning the first-ever edition in 1964 with a total score of 292.
• The championship is a vital stop on the Asian Tour and has been co-sanctioned by the European Tour (now the DP World Tour) since 2015, attracting high-ranking international players.

 Additional Information

• Significant Indian Milestones:
• In 1965, Prem Gopal (P.G.) Sethi made history by becoming the first amateur and the first Indian to win the Indian Open title.
• In 1991, Ali Sher became the first Indian professional golfer to win the tournament, a feat that triggered a golf boom in the country.
• Other notable Indian winners include Jyoti Randhawa, Arjun Atwal, Jeev Milkha Singh, Anirban Lahiri, and S.S.P. Chawrasia, who has won the title multiple times.
• Venues and Governance:
• While the Delhi Golf Club is the spiritual home of the event, it has also been hosted at other elite courses like the Royal Calcutta Golf Club and the DLF Golf and Country Club in Gurugram.
• The tournament is organized under the aegis of the Indian Golf Union (IGU), the apex governing body for golf in India.

The correct answer is Thimphu.

Key Points

• The 6th Joint Group of Customs (JGC) meeting between India and Bhutan was scheduled to be held in Thimphu, the capital city of Bhutan, from 24th to 25th April 2025.
• This high-level meeting serves as a critical institutional mechanism to discuss and resolve various issues related to bilateral trade, transit, and customs cooperation between the two neighboring nations.
• The primary objective of the JGC is to facilitate smoother movement of goods across the borders by streamlining Customs procedures and enhancing connectivity through Land Customs Stations (LCS).
• The delegations typically involve senior officials from the Central Board of Indirect Taxes and Customs (CBIC) of India and the Department of Revenue and Customs of the Royal Government of Bhutan.
• Key agenda items often include the operationalization of Integrated Check Posts (ICPs), the implementation of the Electronic Cargo Tracking System (ECTS), and the notification of new trade routes to bolster economic ties.

 Additional Information

• India-Bhutan Trade Relations:
• The bilateral trade relationship is governed by the Agreement on Trade, Commerce, and Transit, which provides for a Free Trade regime between the two countries.
• India remains Bhutan's largest trading partner, accounting for a significant majority of its total external trade.
• India provides transit facilities for Bhutanese trade with third countries through designated entry and exit points on the Indian border.
• Strategic Cooperation:
• The Joint Group of Customs meetings are essential for addressing field-level bottlenecks that traders face at border crossings such as Jaigaon-Phuentsholing and Joghighopa.
• Recent initiatives include the integration of digital customs systems to reduce the turnaround time for cargo and minimize physical documentation requirements.
• Collaborative efforts also focus on preventing the smuggling of controlled substances and wildlife products across the porous Himalayan borders.

The correct answer is Devdutt Pattanaik.

Key Points

• Devdutt Pattanaik is a prominent Indian mythologist, illustrator, and author widely recognized for his work on sacred lore, folklore, and Hindu mythology.
• He has authored the book 'Indian Wisdom', which distills complex philosophical ideas, rituals, and symbols from ancient Indian texts into simple, practical insights for contemporary life.
• His writing style uniquely integrates his own hand-drawn illustrations to explain deep-rooted cultural concepts from the Vedas, Upanishads, and epics like the Mahabharata and Ramayana.

 Additional Information

• Sadhguru (Jaggi Vasudev):
• He is the founder of the Isha Foundation, a non-profit spiritual organization.
• His notable literary contributions include bestselling books like 'Inner Engineering: A Yogi's Guide to Joy' and 'Karma: A Yogi's Guide to Crafting Your Destiny'.
• Deepak Chopra:
• An Indian-American author and alternative medicine advocate who has written extensively on mindfulness, spirituality, and holistic health.
• His famous works include 'The Seven Spiritual Laws of Success' and 'Ageless Body, Timeless Mind'.
• Radhakrishnan Pillai:
• An academic and corporate trainer best known for researching and applying Chanakya's ancient teachings to modern management practices.
• His popular publications include 'Corporate Chanakya', 'Chanakya in Daily Life', and 'Chanakya's 7 Secrets of Leadership'.

The correct answer is 2024.

Key Points

• The RESET Programme, which stands for Retired Sportsperson Empowerment Training, was officially launched by the Union Minister for Youth Affairs and Sports, Dr. Mansukh Mandaviya, on August 29, 2024.
• The launch was strategically timed to coincide with National Sports Day, a day celebrated across India to honor the birth anniversary of the legendary hockey player Major Dhyan Chand.
• The primary aim of this initiative is to support athletes who have retired from active competition by providing them with the necessary skills and training to transition into new professional roles.
• The programme identifies that many athletes struggle after retirement; hence, it seeks to make them employable within the broader sports ecosystem or other corporate sectors by bridging the gap between their athletic achievements and career requirements.

 Additional Information

• Eligibility and Scope:
• The programme is designed for retired sportspersons in the age bracket of 20 to 50 years.
• Candidates must have represented India at the international level or secured medals in recognized national competitions like the National Games or Khelo India Games.
• Strategic Alignment:
• The initiative is aligned with the goals of the National Education Policy (NEP) 2020, which emphasizes vocational training and lifelong learning opportunities.
• By empowering these individuals, the government aims to utilize their expertise as mentors, coaches, or sports administrators, thereby strengthening India's grassroots sports structure.
• Career Support:
• Participants receive training in modern sports technologies, management, and leadership, ensuring they remain relevant in the evolving job market.
• It helps address the socio-economic security of athletes who have dedicated their youth to representing the nation.

The correct answer is Sweden.

Key Points

• Sweden has secured the top position in the Energy Transition Index (ETI), maintaining its leadership in the global shift toward sustainable energy systems.
• The index is published annually by the World Economic Forum (WEF) in collaboration with Accenture, assessing 120 countries on their current energy system performance and transition readiness.
• The evaluation is based on three critical dimensions: energy equity, energy security, and environmental sustainability.
• Sweden excels due to its high share of renewable energy (particularly hydro and wind), a stable political commitment to net-zero targets, and robust investment in green technologies.
• The ETI framework helps nations identify areas where energy policy and investment need to be prioritized to achieve a resilient and low-carbon future.

 Additional Information

• Top Rankings:
• Denmark (ranked 2nd) and Finland (ranked 3rd) closely follow Sweden, reinforcing the dominance of Nordic countries in energy transition.
• Norway and France round out the top five, with France being the highest-ranked G20 nation.
• India's Position:
• India was ranked 63rd in the latest report, showing improvement driven by significant renewable energy capacity additions and effective policy interventions.
• World Economic Forum (WEF):
• An international organization founded in 1971 by Klaus Schwab, headquartered in Cologny, Switzerland.
• It serves as a platform for global leaders to shape industrial, regional, and global agendas through various reports like the Global Gender Gap Report.
• Transition Readiness Factors:
• Key indicators include institutional framework, infrastructure, human capital, and business environment, which determine a country's ability to support a structural energy shift.

The correct answer is Both I and II.

Key Points

• The North Eastern Region (NER) District SDG Index 2023-24 (Edition 2.0) is a comprehensive framework that evaluates the progress of 103 districts across the eight North Eastern states in achieving 15 Sustainable Development Goals.
• Statement I: Sikkim has displayed remarkable performance in social and environmental indicators, particularly in Clean Water and Sanitation (SDG 6) and Decent Work and Economic Growth (SDG 8). All districts in Sikkim, including East Sikkim, West Sikkim, South Sikkim, and North Sikkim, attained scores above 65, placing the entire state in the Front Runner category. Hence, statement I is correct.
• Statement II: Mizoram stands out for its high performance in Quality Education (SDG 4) and Gender Equality (SDG 5). In the 2023-24 index, every district in Mizoram, including top-performing districts like Serchhip and Aizawl, achieved the Front Runner status with scores ranging between 65 and 99. Hence, statement II is correct.

 Additional Information

• NER District SDG Index Performance Categories:
• Front Runner: Districts with a score of 65−99. This category represents significant progress toward the 2030 Agenda.
• Performer: Districts with a score of 50−64.
• Aspirant: Districts with a score of 0−49.
• Achiever: A perfect score of 100.
• Institutional Framework:
• The index is released by NITI Aayog and the Ministry of Development of North Eastern Region (MDoNER).
• Technical support is provided by the United Nations Development Programme (UNDP).
• The 2023-24 edition follows the first edition launched in 2021-22, tracking 84 indicators to monitor local-level development.
• Other states like Tripura also saw all their districts classified as Front Runners, while states like Nagaland and Meghalaya had a mix of Front Runners and Performers.

Shortcut Trick

Identify parts of the expression using BODMAS: Solve brackets and multiplication first.

Value of bracket (24 + 17) = 41

Value of multiplication 35 × 2 = 70

Combine results: 93 − 47 + 69 − 41 + 70 = 144

∴ The correct answer is 144.

Alternate Method

Given: 93 − 47 + 69 − (24 + 17) + 35 × 2

Apply BODMAS (Bracket, Of, Division, Multiplication, Addition, Subtraction):

Step 1: Solve the parenthesis (B)

⇒ 93 − 47 + 69 − 41 + 35 × 2

Step 2: Perform the multiplication (M)

⇒ 93 − 47 + 69 − 41 + 70

Step 3: Perform addition and subtraction from left to right (A/S)

⇒ 46 + 69 − 41 + 70

⇒ 115 − 41 + 70

⇒ 74 + 70

⇒ 144

∴ The correct answer is 144.

Additional Information

BODMAS Hierarchy

Mathematical operations must follow the priority: Brackets → Orders (powers/roots) → Division → Multiplication → Addition → Subtraction.

VBODMAS Rule

In complex simplifications, V stands for Vinculum (bar bracket), which is solved even before standard brackets.

Sign Rules

When multiplying signs: (−) × (−) = (+), (+) × (−) = (−), and (−) × (+) = (−).

Shortcut Trick

Solve multiplication and division terms first: (27 × 1) = 27 and 39 ÷ 3 = 13.

Rewrite the expression: 92 + 27 − 41 + 13 + 21 − 17.

Sum all positive numbers: 92 + 27 + 13 + 21 = 153.

Sum all negative numbers: 41 + 17 = 58.

Final value: 153 − 58 = 95.

∴ The correct answer is 95.

Alternate Method

Given: 92 + (27 × 1) − 41 + 39 ÷ 3 + 21 − 17

Method: Apply the BODMAS rule (Brackets, Orders, Division, Multiplication, Addition, Subtraction).

⇒ 92 + 27 − 41 + 39 ÷ 3 + 21 − 17 (Solving Bracket: 27 × 1)

⇒ 92 + 27 − 41 + 13 + 21 − 17 (Solving Division: 39 ÷ 3)

⇒ 119 − 41 + 13 + 21 − 17 (Solving Addition from left: 92 + 27)

⇒ 78 + 13 + 21 − 17 (Solving Subtraction: 119 − 41)

⇒ 91 + 21 − 17 (Solving Addition: 78 + 13)

⇒ 112 − 17 (Solving Addition: 91 + 21)

⇒ 95 (Final Subtraction)

∴ The correct answer is 95.

Additional Information

BODMAS Rule

It stands for Brackets, Orders, Division, Multiplication, Addition, and Subtraction, defining the correct sequence for solving arithmetic operations.

Left-to-Right Associativity

When operations like addition and subtraction (or division and multiplication) appear together, they are generally performed in the order they appear from left to right.

Shortcut Trick

For any set of fractions:

HCF = HCF(Numerators) ÷ LCM(Denominators) = HCF(3, 5, 7) ÷ LCM(8, 12, 18) = 1/72

LCM = LCM(Numerators) ÷ HCF(Denominators) = LCM(3, 5, 7) ÷ HCF(8, 12, 18) = 105/2

∴ The correct answer is HCF = 1/72, LCM = 105/2.

Alternate Method

Given Fractions: 3/8, 5/12, and 7/18

Formula Used:

1. HCF of Fractions = HCF of Numerators ÷ LCM of Denominators
2. LCM of Fractions = LCM of Numerators ÷ HCF of Denominators

Step-by-step Calculations:

⇒ Numerators = 3, 5, 7

⇒ Denominators = 8, 12, 18

⇒ HCF(3, 5, 7) = 1 (Since they are co-prime numbers)

⇒ LCM(3, 5, 7) = 3 × 5 × 7 = 105

⇒ LCM(8, 12, 18):

⇒ 8 = 2³

⇒ 12 = 2² × 3

⇒ 18 = 2 × 3²

⇒ LCM = 2³ × 3² = 8 × 9 = 72

⇒ HCF(8, 12, 18) = 2 (Highest common factor among 8, 12, and 18)

⇒ HCF of Fractions = 1/72

⇒ LCM of Fractions = 105/2

∴ The correct answer is HCF = 1/72, LCM = 105/2.

Additional Information

HCF of Fractions

To find the Highest Common Factor of fractions, calculate HCF(Numerators) ÷ LCM(Denominators). Ensure fractions are in simplest form.

LCM of Fractions

To find the Least Common Multiple of fractions, calculate LCM(Numerators) ÷ HCF(Denominators).

Co-prime Numbers

If a set of numbers are co-prime (like 3, 5, 7), their HCF is always 1 and their LCM is their product.

Shortcut Trick

Calculate the Numerator: 15.625 − 3.375 − 0.25 = 12.

Calculate the Denominator: 6.25 + 2.25 − 7.5 = 1.

Result = 12 ÷ 1 = 12.

∴ The correct answer is 12.

Alternate Method

Given: ((2.5)³ − (1.5)³ − 0.25) ÷ ((2.5)² + (1.5)² − 7.5)

Formula Used: Simplification using powers and basic Arithmetic operations.

⇒ Step 1: Calculate the cubes for the numerator: (2.5)³ = 15.625 and (1.5)³ = 3.375

⇒ Step 2: Simplify Numerator: 15.625 − 3.375 − 0.25 = 12.25 − 0.25 = 12

⇒ Step 3: Calculate the squares for the denominator: (2.5)² = 6.25 and (1.5)² = 2.25

⇒ Step 4: Simplify Denominator: 6.25 + 2.25 − 7.5 = 8.5 − 7.5 = 1

⇒ Final Step: Perform division: 12 ÷ 1 = 12

∴ The correct answer is 12.

Additional Information

BODMAS Rule

Always prioritize operations in the order: Brackets, Orders (powers/roots), Division, Multiplication, Addition, and Subtraction.

Difference of Cubes

The identity a³ − b³ = (a − b)(a² + ab + b²) can be used to simplify decimal expressions involving cubes quickly.

Decimal Exponents

For competitive exams, memorizing squares and cubes of common decimal values like 1.5, 2.5, and 3.5 saves significant calculation time.

Shortcut Trick

Solve for square roots: √289 = 17, √225 = 15, and √144 = 12.

Calculate x: x = (17 × 15) + 12 = 255 + 12 = 267.

Calculate the required value: 2x = 2 × 267 = 534.

∴ The correct answer is 534.

Alternate Method

Given:

Expression: x = √289 × √225 + √144

Method Used:

Apply BODMAS rule and basic Square Roots calculation.

Calculations:

⇒ x = 17 × 15 + 12

⇒ x = 255 + 12

⇒ x = 267

⇒ 2x = 2 × 267

⇒ 2x = 534

∴ The correct answer is 534.

Additional Information

BODMAS Rule

The acronym stands for Brackets, Orders (Powers and Roots), Division, Multiplication, Addition, and Subtraction. It defines the order of operations to solve complex arithmetic expressions.

Perfect Squares

Numbers like 289, 225, and 144 are perfect squares. Memorizing squares up to 30 (e.g., 17² = 289, 15² = 225, 12² = 144) is essential for fast calculations in competitive exams.

Simplification Shortcut

When multiplying numbers ending in 5 (like 17 × 15), use the property (16 + 1)(16 − 1) = 16² − 1 = 256 − 1 = 255 for quicker results.

Shortcut Trick

Identify the highest perfect square factors for all terms: 98 = 49 × 2, 147 = 49 × 3, 18 = 9 × 2, and 27 = 9 × 3.

Rewrite the expression as (7√2 − 7√3) ÷ (3√2 − 3√3).

Factor out the coefficients 7 and 3: [7(√2 − √3)] ÷ [3(√2 − √3)].

Cancel the common factor (√2 − √3) from both the numerator and the denominator.

The remaining fraction is 7/3.

∴ The correct answer is 7/3.

Alternate Method

Given: (√98 − √147) ÷ (√18 − √27)

Simplify each radical term separately:

⇒ √98 = √(49 × 2) = 7√2

⇒ √147 = √(49 × 3) = 7√3

⇒ √18 = √(9 × 2) = 3√2

⇒ √27 = √(9 × 3) = 3√3

Substitute these values back into the expression:

⇒ (7√2 − 7√3) ÷ (3√2 − 3√3)

Factor out 7 from the numerator and 3 from the denominator:

⇒ 7(√2 − √3) ÷ 3(√2 − √3)

Since (√2 − √3) ≠ 0, cancel it out:

⇒ 7/3

∴ The correct answer is 7/3.

Additional Information

Properties of Surds

For any positive real numbers a and b, √(a × b) = √a × √b and √(a ÷ b) = √a ÷ √b.

Simplifying Radicals

To simplify a radical, factor the radicand into a perfect square and another factor, then take the square root of the perfect square factor.

Rationalization

If the denominator contains a surd like (√a − √b), it can be rationalized by multiplying both numerator and denominator by its conjugate (√a + √b).

Shortcut Trick

Ratio of Length : Breadth = 5 : 4 (since Breadth = 4/5 of Length).

Product of ratio units = 5 × 4 = 20 units².

20 units² = 320 m² ⇒ 1 unit² = 16 m² ⇒ 1 unit = 4 m.

Difference between Length and Breadth = (5 − 4) = 1 unit.

Difference = 1 × 4 = 4 m.

∴ The correct answer is 4 m.

Alternate Method

Given:

Breadth (B) = 4/5 × Length (L)

Area of the floor = 320 m²

Let the Length be 5x and the Breadth be 4x.

⇒ Area = Length × Breadth

⇒ 320 = 5x × 4x

⇒ 320 = 20x²

⇒ x² = 320 ÷ 20

⇒ x² = 16

⇒ x = √16 = 4 m

⇒ Length = 5 × 4 = 20 m

⇒ Breadth = 4 × 4 = 16 m

⇒ Difference = 20 m − 16 m = 4 m.

∴ The correct answer is 4 m.

Additional Information

Area of a Rectangle

The total space occupied by the rectangle is calculated as Area = Length × Breadth.

Perimeter of a Rectangle

The total boundary length is given by Perimeter = 2 × (Length + Breadth).

Diagonal of a Rectangle

The distance between opposite corners is found using Diagonal = √(Length² + Breadth²).

Shortcut Trick

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

Here, a = 325 and b = 275.

Sum of values: 325 + 275 = 600.

Simplified result: 600² = 360000.

∴ The correct answer is 360000.

Alternate Method

Given values: a = 325, b = 275.

Method Used: Identity expansion and simplification.

⇒ (325 − 275)² + 4 × 325 × 275

⇒ Let a = 325 and b = 275.

⇒ The expression is in the form: (a − b)² + 4ab.

⇒ (a² + b² − 2ab) + 4ab

⇒ a² + b² + 2ab = (a + b)².

⇒ (325 + 275)²

⇒ 600² = 360000.

∴ The correct answer is 360000.

Additional Information

Basic Square Identities

Standard expansions for binomial squares: (a + b)² = a² + b² + 2ab and (a − b)² = a² + b² − 2ab.

Difference and Sum Square Relation

Conversion formula between the sum and difference of squares: (a + b)² − (a − b)² = 4ab.

Sum of Squared Terms

Addition identity for combined squares: (a + b)² + (a − b)² = 2(a² + b²).

Shortcut Trick

Sum of length and breadth = 140 ÷ 2 = 70 m

Difference of dimensions = 10 m

Larger dimension (L) = (70 + 10) ÷ 2 = 40 m

Smaller dimension (B) = (70 − 10) ÷ 2 = 30 m

Area = 40 × 30 = 1200 m²

∴ The correct answer is 1200 m².

Alternate Method

Given:

Difference (L − B) = 10 m

Perimeter = 140 m

Formula Used:

Perimeter of rectangle = 2 × (L + B)

Area of rectangle = L × B

Calculations:

⇒ 2 × (L + B) = 140

⇒ L + B = 70 ----(1)

⇒ L − B = 10 ----(2)

Adding equations (1) and (2):

⇒ 2L = 80

⇒ L = 40 m

Substituting L = 40 in (1):

⇒ 40 + B = 70

⇒ B = 30 m

Now, calculate the area:

⇒ Area = 40 × 30

⇒ Area = 1200 m²

∴ The correct answer is 1200 m².

Additional Information

Diagonal of a Rectangle

The distance between opposite vertices is given by the Pythagorean theorem: d = √(L² + B²).

Relationship between Area and Perimeter

For a given perimeter, the area of a rectangle is maximum when it is a square (L = B).

Square Properties

A square is a special rectangle where L = B; its Area = side² and Perimeter = 4 × side.

Shortcut Trick

Weight of B = [Sum of group 1 + Sum of group 2] − [Total sum]

Sum of A and B = 32 × 2 = 64 kg

Sum of B and C = 38 × 2 = 76 kg

Sum of A, B and C = 30 × 3 = 90 kg

Weight of B = (64 + 76) − 90 = 140 − 90 = 50 kg

∴ The correct answer is 50 kg.

Alternate Method

Given:

Average weight of (A + B + C) = 30 kg

Average weight of (A + B) = 32 kg

Average weight of (B + C) = 38 kg

Formula Used:

Total Weight = Average Weight × Number of Persons

Calculations:

⇒ Total weight of A + B + C = 30 × 3 = 90 kg --- (i)

⇒ Total weight of A + B = 32 × 2 = 64 kg --- (ii)

⇒ Total weight of B + C = 38 × 2 = 76 kg --- (iii)

⇒ Adding (ii) and (iii): (A + B) + (B + C) = 64 + 76

⇒ A + 2B + C = 140 kg --- (iv)

⇒ Subtracting (i) from (iv): (A + 2B + C) − (A + B + C) = 140 − 90

⇒ Weight of B = 50 kg

∴ The correct answer is 50 kg.

Additional Information

Definition of Average

The average (Arithmetic Mean) is the sum of all values divided by the total number of values. Formula: Average = Sum of observations ÷ Number of observations.

Net Deviation Method

The sum of deviations of all values from the average is always zero. This is useful for finding missing values in a data set when the average is known.

Combined Average

If two groups have n₁ and n₂ elements with averages A₁ and A₂, the combined average is [n₁A₁ + n₂A₂] ÷ [n₁ + n₂].

Shortcut Trick

Total numbers increased by 50 (from 100 to 150) and the average increased by 20.6 (74.1 − 53.5).

Sum of new numbers = (New Average × Quantity of new numbers) + (Old Quantity × Increase in Average)

Sum = (74.1 × 50) + (100 × 20.6)

Sum = 3705 + 2060 = 5765

∴ The correct answer is 5765.

Alternate Method

Given:

Initial count (n₁) = 100, Initial average (A₁) = 53.5

New added count (n₂) = 50, Total count (n_total) = 150

Final average (A_total) = 74.1

Formula Used:

Sum = Average × Number of terms

Sum of new numbers = (Total Sum of 150 numbers) − (Initial Sum of 100 numbers)

Calculations:

⇒ Initial Sum = 100 × 53.5 = 5350

⇒ Total Sum after adding 50 numbers = 150 × 74.1

⇒ Total Sum = 11115

⇒ Sum of 50 newly added numbers = 11115 − 5350

⇒ Sum = 5765

∴ The correct answer is 5765.

Additional Information

Weighted Average Formula

When two groups are combined, the combined average is (n₁A₁ + n₂A₂) ÷ (n₁ + n₂).

Effect of Adding/Removing a Term

If a new value X is added to a group of n terms with average A, the new average A′ = (nA + X) ÷ (n + 1).

Sum of First n Natural Numbers

The sum is given by [n(n + 1)] ÷ 2, and their average is (n + 1) ÷ 2.

Shortcut Trick

To find the next simultaneous change, calculate the LCM of the given intervals: 30, 45, and 60 seconds.

LCM(30, 45, 60) = 180 seconds.

Convert 180 seconds to minutes: 180 ÷ 60 = 3 minutes.

Add 3 minutes to the initial time 7:00 a.m. → 7:03 a.m.

∴ The correct answer is 7:03 a.m.

Alternate Method

Given:

Interval of Light 1 = 30 seconds

Interval of Light 2 = 45 seconds

Interval of Light 3 = 60 seconds

Starting Time = 7:00 a.m.

Formula Used:

Next simultaneous event = Initial time + LCM(Intervals)

Calculations:

⇒ Prime factors of 30 = 2 × 3 × 5

⇒ Prime factors of 45 = 3² × 5

⇒ Prime factors of 60 = 2² × 3 × 5

⇒ LCM(30, 45, 60) = 2² × 3² × 5

⇒ LCM = 4 × 9 × 5 = 180 seconds

⇒ Time in minutes = 180 ÷ 60 = 3 minutes

⇒ Next simultaneous change = 7:00 a.m. + 3 minutes = 7:03 a.m.

∴ The correct answer is 7:03 a.m.

Additional Information

Concept of LCM

The Least Common Multiple (LCM) is used to find the next time periodic events (like bells, traffic lights, or racing laps) will occur simultaneously.

Time Conversion

Always ensure units are consistent. Use 1 minute = 60 seconds to convert large second counts into readable time formats.

Relationship between HCF and LCM

For any two numbers a and b: HCF(a, b) × LCM(a, b) = a × b.

Shortcut Trick

Profit 25% = 1/4 (Fractional value)

Ratio of Cost Price (CP) : Selling Price (SP) = 4 : (4 + 1) = 4 : 5

Given 5 units (SP) = ₹5625 ⇒ 1 unit = 5625 ÷ 5 = ₹1125

CP = 4 units = 4 × 1125 = ₹4500

∴ The correct answer is ₹4500.

Alternate Method

Given:

Selling Price (SP) = ₹5625

Profit percentage = 25%

Formula Used:

Cost Price (CP) = [Selling Price × 100] ÷ [100 + Profit %]

Calculations:

⇒ CP = [5625 × 100] ÷ [100 + 25]

⇒ CP = [5625 × 100] ÷ 125

⇒ CP = 5625 ÷ 1.25

⇒ CP = ₹4500

∴ The correct answer is ₹4500.

Additional Information

Cost Price with Loss

When there is a loss, CP = [SP × 100] ÷ [100 − Loss %].

Profit/Loss Basis

Profit or Loss is always calculated on the Cost Price unless otherwise specified in the question.

Marked Price (MP)

MP = CP + Markup. Selling Price is also calculated as MP − Discount.

Shortcut Trick

Convert percentage to ratio: 20% = 1/5

If B is 5 units, then A is (5 − 1) = 4 units.

Given A = 480 ⇒ 4 units = 480

1 unit = 480 ÷ 4 = 120

B = 5 units = 5 × 120 = 600

∴ The correct answer is 600.

Alternate Method

Given:

Value of A = 480

A is 20 percent less than B.

Formula Used:

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

Calculations:

⇒ A = B × (100 − 20) ÷ 100

⇒ 480 = B × (80 ÷ 100)

⇒ 480 = B × 0.8

⇒ B = 480 ÷ 0.8

⇒ B = 4800 ÷ 8

⇒ B = 600

∴ The correct answer is 600.

Additional Information

Percentage to Fraction Conversion

To simplify calculations, memorize common fractions: 20% = 1/5, 25% = 1/4, 33.33% = 1/3, and 50% = 1/2.

Percentage Increase/Decrease

New Value = Original Value × (1 ± r/100), where 'r' is the rate of percentage change.

Inverse Percentage Relation

If A is x% less than B, then B is [x / (100 − x)] × 100% more than A. In this case, B is 25% more than A.

Shortcut Trick

Calculate the first value: 30% of 500 = 150.

Express 50% more than A as a multiplier: 100% + 50% = 150% or 1.5.

Set up the equation: 1.5 × A = 150 ⇒ A = 150 ÷ 1.5 = 100.

∴ The correct answer is 100.

Alternate Method

Given:

⇒ Target value = 30% of 500

⇒ Condition: Target value is 50% more than A.

Formula Used:

⇒ Value = Base × (1 + Percentage Increase/100)

Calculations:

⇒ First, find 30% of 500:

⇒ (30 ÷ 100) × 500 = 150

⇒ Let the unknown value be A. As per the question:

⇒ 150 = A + 50% of A

⇒ 150 = A + 0.5A

⇒ 150 = 1.5A

⇒ A = 150 ÷ 1.5

⇒ A = 100

∴ The correct answer is 100.

Additional Information

Percentage Multiplier

To increase a value by x%, multiply the base by (1 + x/100). To decrease by x%, multiply by (1 − x/100).

Base Change Rule

If X is r% more than Y, then Y is less than X by [r ÷ (100 + r)] × 100 %.

Fractional Equivalents

50% is equivalent to the fraction 1/2. Thus, 50% more than a value is the same as 3/2 times that value.

Shortcut Trick

Profit is 30% of Selling Price (SP), which equals 3/10.

Let SP = 10 units, then Profit = 3 units.

Cost Price (CP) = SP − Profit = 10 − 3 = 7 units.

Required Ratio of Profit to CP = 3 : 7.

∴ The correct answer is 3 : 7.

Alternate Method

Given:

Profit = 30% of the Selling Price (SP).

Formula Used:

Cost Price (CP) = Selling Price (SP) − Profit

⇒ Let the Selling Price (SP) of the article be ₹100.

⇒ Profit = 30% of ₹100 = (30/100) × 100 = ₹30.

⇒ Cost Price (CP) = SP − Profit

⇒ CP = 100 − 30 = ₹70.

⇒ Ratio of Profit to Cost Price = 30 : 70

⇒ Ratio = 3 : 7.

∴ The correct answer is 3 : 7.

Additional Information

Profit Percentage on Cost Price

Usually, profit is calculated on CP. Profit % = (Profit ÷ CP) × 100.

Selling Price Formula

SP = CP × (100 + Profit%) ÷ 100, where Profit% is based on the Cost Price.

Relationship between SP, CP, and Profit

When SP > CP, there is a profit. Profit = SP − CP.

Shortcut Trick

Time taken to empty one full tank = 48 min

Time taken to empty 1/6 part of the tank = 48 × (1/6) = 8 min

∴ The correct answer is 8 min.

Alternate Method

Given:

Time taken by the pipe to empty the full tank = 48 min

Part of the tank to be emptied = 1/6

Formula Used:

Efficiency = Total Work ÷ Time Taken

Time Taken for partial work = (Part of work) × (Total time for full work)

Calculations:

⇒ Let the total capacity of the tank be 48 units.

⇒ Efficiency of the pipe = 1 unit per minute.

⇒ Work to be done (1/6 of capacity) = 48 × (1/6) = 8 units.

⇒ Time required = 8 units ÷ 1 unit/min = 8 min.

∴ The correct answer is 8 min.

Additional Information

Efficiency of a Pipe

The rate at which a pipe fills or empties a tank is its efficiency, calculated as 1/T where T is the time taken to complete the task alone.

Fractional Work Rule

If a task takes H hours to complete, then 1/n part of the same task will take H ÷ n hours to complete.

Outlet vs Inlet Pipes

Inlet pipes perform positive work (filling), while outlet/leak pipes perform negative work (emptying) in problems involving both.

Shortcut Trick

Total work = LCM of 8 and 16 = 16 units.

Efficiency of (P + Q) = 16 ÷ 8 = 2 units/day.

Efficiency of R = 16 ÷ 16 = 1 unit/day.

Combined efficiency of (P + Q + R) = 2 + 1 = 3 units/day.

Time for 1/2 part of work = (16 ÷ 2) ÷ 3 = 8/3 days.

∴ The correct answer is 8/3 days.

Alternate Method

Given:

Time taken by (P + Q) = 8 days

Time taken by R = 16 days

Formula Used:

Total Work = Efficiency × Time

Calculations:

⇒ Total work assumed (LCM of 8, 16) = 16 units

⇒ Efficiency of (P + Q + R) = Efficiency of (P + Q) + Efficiency of R

⇒ Combined Efficiency = 2 + 1 = 3 units/day

⇒ 1/2 part of total work = 16 ÷ 2 = 8 units

⇒ Time taken by (P + Q + R) to complete 8 units = 8 ÷ 3 days

∴ The correct answer is 8/3 days.

Additional Information

Total Work Concept

Total work is always constant for the same task and is usually taken as the LCM of the days to simplify calculations.

Efficiency Relationship

Efficiency is inversely proportional to Time taken when work is constant (E₁/E₂ = T₂/T₁).

Work and Wages

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

Combined Work Formula

If A takes 'a' days and B takes 'b' days, together they take (a × b) ÷ (a + b) days to finish the total work.

Shortcut Trick

When two objects move in opposite directions, their relative speed is the sum of their individual speeds.

Relative Speed = 40 m/s

Total distance to cover = Sum of lengths of Train A and Train B = 800 m.

Time = Total Distance ÷ Relative Speed = 800 ÷ 40 = 20 seconds.

∴ The correct answer is 20 sec.

Alternate Method

Given:

Sum of lengths (L₁ + L₂) = 800 m

Sum of speeds (S_A + S_B) = 40 m/s

Formula Used:

Time (t) = Total Distance ÷ Relative Speed

Calculations:

⇒ Total Distance = 800 m

⇒ Relative Speed = 40 m/s

⇒ Crossing Time (t) = 800 ÷ 40

⇒ t = 20 sec

∴ The correct answer is 20 sec.

Additional Information

Relative Speed Concept

When two objects move in opposite directions, the relative speed is the sum (S₁ + S₂). If they move in the same direction, the relative speed is the difference (|S₁ − S₂|).

Crossing Criteria

When a train crosses a pole or a man, distance equals the length of the train. When it crosses a bridge or platform, distance equals (Length of train + Length of platform).

Unit Conversion

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

Shortcut Trick

When speed is constant, the Distance covered is directly proportional to the Time taken.

Time to cover Train Length (L) = 4 sec

Time to cover Total Length (Train + Platform) = 12 sec

Required Ratio = 4 : 12

⇒ Ratio = 1 : 3

∴ The correct answer is 1 : 3.

Alternate Method

Given:

Time taken to cross a standing man = 4 sec

Time taken to cross a platform of length 'y' = 12 sec

Let the Length of the Train be L and its Speed be S.

Case 1: Crossing a standing man

⇒ Speed (S) = Distance ÷ Time = L ÷ 4

Case 2: Crossing a platform of length y

⇒ Speed (S) = (L + y) ÷ 12

Equating the speeds:

⇒ L ÷ 4 = (L + y) ÷ 12

⇒ 3 × L = L + y

⇒ y = 2 × L

Total length of Train and Platform = L + y = L + 2L = 3L

Required Ratio = Length of Train : Total Length

⇒ Ratio = L : 3L

⇒ Ratio = 1 : 3

∴ The correct answer is 1 : 3.

Additional Information

Crossing Objects

When a train crosses a pole or a standing man, the distance covered equals the Length of the Train. When it crosses a platform or bridge, the distance equals Length of Train + Length of Platform.

Relative Speed in Same Direction

If two trains of lengths L₁ and L₂ move in the same direction at speeds S₁ and S₂, the time to cross is (L₁ + L₂) ÷ (S₁ − S₂).

Speed Conversion Factor

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

The correct answer is 'Option (3)' i.e. 'An unspoken policy or concealment by police regarding the wrongdoing or illicit activity of other officers.'.

Key Points

• The idiom 'Blue code of silence' refers to a custom or unwritten rule among police officers where they refuse to report or testify against their colleagues for any misconduct or criminal activity. (पुलिस अधिकारियों के बीच अपने सहयोगियों के गलत कामों की रिपोर्ट न करने की एक अघोषित नीति)
• Example: The internal investigation was hampered by the blue code of silence, as no officer was willing to speak against their partner.
• 'An unspoken policy or concealment by police regarding the wrongdoing or illicit activity of other officers' describes the systemic culture of protecting fellow law enforcement members from legal or disciplinary consequences. (पुलिस द्वारा अन्य अधिकारियों की गलत या अवैध गतिविधियों के संबंध में एक अघोषित नीति या उसे छिपाने का कृत्य)
• Example: Many reforms aim to dismantle the blue code of silence to ensure greater accountability within the police department.
• Hence, we can infer that the idiom 'Blue code of silence' represents the concealment of illicit activities within the police force.

Therefore, the correct answer is- An unspoken policy or concealment by police regarding the wrongdoing or illicit activity of other officers.

Additional Information

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

• A silence that unnerves one (एक ऐसी चुप्पी जो किसी को घबरा दे): This refers to a quiet environment or situation that makes a person feel anxious, scared, or uneasy.
• Example: After the strange noise in the basement, there was a silence that unnerves one, making my heart race.
• An absence of speech or sound that creates or communicates an especially effective or poignant message (मौन की स्थिति जो एक विशेष रूप से प्रभावशाली या मर्मस्पर्शी संदेश देती है): Also known as eloquent silence, it is used to convey deep meaning without words.
• Example: When the memorial began, the absence of speech among the thousands of people communicated a powerful sense of shared grief.
• A very tense, awkward, or uncomfortable atmosphere among a group of people (लोगों के बीच एक बहुत ही तनावपूर्ण या असहज वातावरण): This describes a social situation filled with friction or embarrassment where no one knows what to say.
• Example: After the harsh criticism of the manager, there was a very tense and uncomfortable atmosphere in the meeting room.

The correct answer is: To think or act in accordance with set rules.

Key Points

• The idiom 'Stay within the lines' means to behave in a way that is consistent with the established rules, norms, or expectations without deviating from them. (नियमों या मर्यादाओं के भीतर रहना)
• Example: In a highly regulated industry like banking, it is crucial for employees to stay within the lines to avoid legal issues.
• 'To think or act in accordance with set rules' refers to the process of making decisions or performing actions that strictly follow a predefined framework or set of guidelines. (निर्धारित नियमों के अनुसार सोचना या कार्य करना)
• Example: The project manager ensured that everyone was thinking and acting in accordance with set rules to maintain safety standards.
• Hence, we can infer that the meaning of the idiom 'stay within the lines' is 'to think or act in accordance with set rules'.

Therefore, the correct answer is: To think or act in accordance with set rules.

Additional Information

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

• Stay present during some event or timeframe (किसी घटना या समय सीमा के दौरान उपस्थित रहना): This refers to physical or mental presence during a specific period.
• Example: It is mandatory for all students to stay present during the annual guest lecture.
• Be in a place as near as possible (जितना संभव हो उतना निकट स्थान पर होना): This describes being in close physical proximity to a person, object, or location.
• Example: For the best view of the parade, you should try to be in a place as near as possible to the main gate.
• A strict and inflexible view of or position on something (किसी चीज़ पर सख्त और अडिग दृष्टिकोण या स्थिति): This refers to a rigid mindset or an uncompromising stance on a particular issue.
• Example: The chairman has a strict and inflexible view of the company's dress code policy.

The correct answer is: Cryptic.

Key Points

• The word 'Cryptic' refers to something that is mysterious, obscure, or having a hidden meaning that is difficult to understand. (रहस्यमय)
• Example: The detective found a cryptic message at the crime scene that required a code to break.
• 'Cryptic' is the correctly spelled word among the choices, used to describe enigmatic or puzzling statements. (गुढ़)
• Example: His cryptic smile made me wonder if he knew more about the secret than he was letting on.
• Hence, we can infer that 'Cryptic' is the only word correctly spelled in the given list.

Therefore, the correct answer is: Cryptic.

Additional Information

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

• Cajole (फुसलाना): To persuade someone to do something by sustained coaxing or flattery. (The spelling 'cajoule' is incorrect).
• Example: He managed to cajole his friend into loaning him the money for the tickets.
• Capitulate (आत्मसमर्पण करना): To cease to resist an opponent or an unwelcome demand; to surrender. (The spelling 'Capitalate' is incorrect).
• Example: The rebel forces were finally forced to capitulate after months of conflict.
• Charlatan (पाखंडी): A person falsely claiming to have a special knowledge or skill; a fraud. (The spelling 'Charletan' is incorrect).
• Example: The self-proclaimed expert turned out to be a charlatan who had no formal training.

The correct answer is: Option(2) i.e. Retreat.

Key Points

• The word 'withdraw' means to pull back, remove, or move away from a particular place or situation. (वापस लेना / पीछे हटना)
• Example: The government decided to withdraw the troops from the conflict zone after the peace treaty was signed.
• 'Retreat' refers to the act of moving back or withdrawing from a position or situation, often because it is dangerous, difficult, or as a tactical move in battle. (पीछे हटना)
• Example: The army had to retreat to a safer location when the enemy launched a surprise offensive.
• Hence, we can infer that the synonym of 'withdraw' is 'retreat'.

Therefore, the correct answer is- Retreat.

Additional Information

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

• Advance (आगे बढ़ना): To move forward in a purposeful way or to make progress.
• Example: The technology continues to advance at a rapid pace every year.
• Offer (प्रस्ताव देना): To present or proffer something for someone to accept or reject.
• Example: The company decided to offer him a higher salary to keep him from leaving.
• Attack (आक्रमण करना): To take aggressive action against a person or place with weapons or force.
• Example: The enemy was planning to attack the city under the cover of darkness.

The correct answer is: Ludicrious.

Key Points

• The word 'Ludicrious' is misspelt as it contains an extra 'i'; there is no such word in standard English. (अशुद्ध शब्द)
• Example: The editor highlighted 'ludicrious' as a spelling mistake in the manuscript.
• 'Ludicrous' is the correct spelling, which refers to something that is so foolish, unreasonable, or out of place as to be amusing; ridiculous. (हास्यास्पद)
• Example: It is ludicrous to suggest that he could have completed the entire marathon in ten minutes.
• Hence, we can infer that the misspelt word among the options is 'Ludicrious'.

Therefore, the correct answer is: Ludicrious.

Additional Information

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

• Cemetery (कब्रिस्तान): A large burial ground, especially one not associated with a church.
• Example: They laid fresh flowers on the grave at the local cemetery.
• Punctuate (विराम-चिह्न लगाना): To insert punctuation marks in a text to make its meaning clear.
• Example: You must punctuate your sentences properly so that they are easy to read.
• Indolence (आलस्य): Avoidance of activity or exertion; laziness.
• Example: His failure in the project was a direct result of his sheer indolence.

The correct answer is: Lowered.

Key Points

• The word 'Elevated' refers to something that is situated or placed higher than the surrounding area, or it can describe something that is at a high level or position. (उच्च या ऊपर उठा हुआ)
• Example: The patient was advised to keep her elevated leg on a pillow to reduce swelling.
• 'Lowered' means to move something to a lower position or to reduce the height or level of something; it is the direct opposite of raising or elevating. (नीचा किया हुआ या घटाया हुआ)
• Example: He lowered the volume of the radio so he could hear the phone ringing.
• Hence, we can infer that the opposite of 'Elevated' is 'Lowered'.

Therefore, the correct answer is: Lowered.

Additional Information

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

• Raised (उठाया हुआ): Something that has been moved to a higher position or level.
• Example: She raised her hand to ask a question during the lecture.
• Upright (सीधा): Sitting or standing with the back straight; in a vertical position.
• Example: Please keep the box in an upright position to prevent the contents from leaking.
• Lifted (ऊपर उठाया गया): To be picked up or moved to a different, higher position.
• Example: The heavy boxes were lifted onto the truck by the workers.

The correct answer is: Amateur.

Key Points

• The phrase 'One who takes part in an activity for pleasure and not professionally' refers to a person who pursues an interest or a hobby primarily for enjoyment rather than for financial gain or as a full-time career. (एक व्यक्ति जो किसी गतिविधि में आनंद के लिए भाग लेता है न कि पेशेवर रूप से)
• Example: Even as an amateur, his skill in playing the violin was remarkable.
• 'Amateur' is a person who engages in a pursuit, especially a sport or an art, on an unpaid rather than a professional basis. (गैर-पेशेवर या शौकिया)
• Example: The photo contest is only open to amateur photographers.
• Hence, we can infer that the most suitable one-word substitution for the given phrase is 'Amateur'.

Therefore, the correct answer is- Amateur.

Additional Information

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

• Novice (नौसिखिया): A person who is new to and inexperienced in a job or situation.
• Example: This computer course is designed for the complete novice.
• Apprentice (प्रशिक्षु): A person who is learning a trade from a skilled employer, having agreed to work for a fixed period at low wages.
• Example: He worked as an apprentice to a master carpenter to learn the craft.
• Veteran (अनुभवी/दिग्गज): A person who has had long experience in a particular field or someone who has served in the military.
• Example: As a veteran of many political campaigns, she knew exactly how to handle the media.

The correct answer is The bungalow will have been renovated by him by next month..

Key Points

• The original sentence is in the Future Perfect Tense, which follows the active structure: Subject + will + have + V3 (Past Participle) + Object.
• To transform this into the Passive Voice, the grammatical rule dictates the following structure: Object + will + have + been + V3 (Past Participle) + by + Subject.
• The active subject He is replaced by the active object The bungalow, which becomes the grammatical subject in the passive construction.
• The pronoun He must be converted into its objective form, him, when placed after the preposition by as the agent of the action.
• The auxiliary phrase will have been is essential in the passive form to maintain the perfective aspect and the future timeline of the completion of the renovation.
• The main verb renovated is already in its Past Participle (V3) form and remains unchanged in the passive voice, paired with the auxiliary been.

 Additional Information

• Future Perfect Passive Construction
• The use of will have been is mandatory for all subjects (singular or plural) in the Future Perfect Passive to indicate that an action will be completed relative to a future point.
• The word been serves as the critical marker that distinguishes the passive state from the Active Future Perfect, which would simply be will have.
• Functional Use of Prepositions
• In the passive sentence, the preposition by is used twice: first to identify the agent (the person performing the action, him) and second to denote the time constraint or deadline (next month).
• Maintaining the time phrase (by next month) at the end of the sentence ensures the context of the Future Perfect Tense is preserved accurately.
• Pronoun Case Transformation
• In English syntax, personal pronouns must change from the nominative case (He, She, I, They) to the accusative/objective case (him, her, me, them) when they shift from the subject position to the object/agent position in the passive voice.

The correct answer is Was classical music being played at the concert by the musicians?.

Key Points

• The original sentence Were the musicians playing classical music at the concert? is an interrogative sentence in the Past Continuous Tense.
• In the Active Voice, the structure for this tense is: Was/Were + Subject + Verb-ing + Object?
• When converting to Passive Voice, the object of the active sentence classical music becomes the new subject. Since classical music is an uncountable and singular noun, the auxiliary verb Was is used.
• The specific rule for converting Past Continuous interrogative sentences into passive voice is: Was/Were + Subject + being + Past Participle (V3) + by + Agent?
• Following this rule, the verb playing is transformed into being played to maintain the continuous aspect of the action.
• The phrase by the musicians serves as the agent at the end of the sentence, completing the logical conversion while preserving the original meaning and tense.

 Additional Information

• Understanding Tense Variations in Passive Voice:
• Simple Past Tense: Uses the structure Was/Were + Subject + V3. Option 1 follows this but fails to capture the continuous nature of the original verb.
• Present Perfect Tense: Uses Has/Have + Subject + been + V3. Option 3 is incorrect because it changes the tense from past to present perfect.
• Present Continuous Tense: Uses Is/Am/Are + Subject + being + V3. Option 4 is incorrect because it changes the timeline of the event from the past to the present.
• Continuous Aspect: In any continuous tense (present, past, or future), the addition of the word being is mandatory in the passive form to reflect that the action was ongoing.

The correct answer is disadvantage with teaching.

Key Points

• The segment The only acts as a specific determiner phrase that correctly limits the subject to a single negative aspect. Hence, statement 1 is correct.
• The phrase disadvantage with teaching contains a prepositional error; in English grammar, the noun disadvantage is typically followed by the preposition of when referring to an inherent quality or feature of an activity. Hence, statement 2 is incorrect.
• The part is repeating the same is grammatically sound, using the linking verb followed by a gerund (repeating) which serves as the subject complement to describe the disadvantage. Hence, statement 3 is correct.
• The concluding segment curriculum again and again correctly uses the object of the gerund and an idiomatic adverbial phrase to emphasize the repetitive nature of the task. Hence, statement 4 is correct.

 Additional Information

• Prepositional Collocations:
• Definition: A collocation is a group of words that are frequently used together by native speakers.
• Usage: The noun disadvantage specifically pairs with of (e.g., the disadvantage of technology) or to (e.g., a disadvantage to the students). Using with in this context is non-standard.
• Gerunds as Complements:
• A gerund is a verb form ending in -ing that functions as a noun.
• In this sentence, repeating functions as a predicate nominative, providing more information about the subject (the disadvantage).
• Emphasis in English:
• Phrases like again and again or time and again are common rhetorical devices used to highlight the frequency or monotony of an action.

The correct answer is 'against'.

 

Key Points

• The preposition 'against' is used to indicate opposition, disagreement, or in legal contexts, to indicate that someone is being accused of something.
• The phrase 'evidence against someone' is a standard expression used to describe facts or information that suggest a person is guilty of a crime or wrongdoing.
• The sentence implies that the police were looking for proof of the person's guilt, making 'against' the most appropriate fit.

Therefore, the correct answer is Option 4.

 

Complete Sentence: "The police could not collect sufficient evidence against him to prove him guilty."

 

Additional Information

• Option 1: 'for' is incorrect because evidence 'for' someone would typically mean supportive evidence or evidence in their favor, which contradicts the goal of proving them guilty.
• Option 2: 'about' is incorrect because it is too vague; while we can have information about someone, evidence specifically linking them to a crime is usually 'against' them.
• Option 3: 'of' is incorrect because we usually say 'evidence of a crime' (e.g., evidence of theft), but not typically 'evidence of a person' in this context.

The correct answer is replete with inconsistencies and therefore required.

Key Points

• The adjective replete is part of a specific prepositional collocation where it is almost exclusively followed by the preposition with to mean filled or well-supplied. Using in, of, or by in this context is grammatically incorrect.
• The sentence follows a past tense narrative structure, established by the main reporting verb concluded and the subsequent linking verb was.
• To maintain tense consistency and parallelism within the subordinate clause, the second action (governed by the same subject policy) must also be in the simple past tense. Therefore, required is the correct form to match was.
• Option 1 correctly combines the idiomatic preposition with and the past tense verb required, ensuring the sentence is both grammatically sound and logically consistent.

 Additional Information

• Understanding Prepositional Collocations:
• Replete with: Formal term used for abundance or being full (e.g., a book replete with illustrations).
• Full of: A more common alternative, but specifically requires the preposition of.
• Fraught with: Typically used when something is filled with negative elements like danger, difficulties, or risks.
• Abounding in/with: Used to indicate that something exists in large numbers or amounts.
• Tense Sequencing Rules:
• When the Principal Clause is in the Past Tense, the Subordinate Clause must also be in the Past Tense, unless it expresses a universal truth or a habitual action.
• In this sentence, the need for revision is a specific past consequence of the panel's finding, necessitating the use of required over requires or requiring.

The correct answer is Option 3.

Key Points

• The paragraph describes a specific memory of a horse race and the narrator’s reaction to a particular horse.
• S1 is fixed as the opening sentence:
• 'I remember once out at St. Cloud.' - This sets the setting for the narrative.
• Sentence C follows S1 because it provides the context for what was happening at St. Cloud:
• 'It was a big two hundred thousand franc race with seven entries and Kzar a big favourite.' - It defines the event and introduces the central subject, the horse named Kzar.
• Sentence D is the next sentence as it transitions from the race details to the narrator's direct experience:
• 'I went around to the paddock to see the horses with my old man and you never saw such horses.' - This establishes the physical location (paddock) and the act of observing the animals.
• Sentence A follows D as it focuses on the specific horse that was the favorite:
• 'This Kzar is a great big yellow horse that looks like just nothing but run.' - This gives a physical description of the horse mentioned in sentence C.
• Sentence B follows A to emphasize the narrator's awe:
• 'I never saw such a horse.' - This provides a personal emotive reaction to the physical description just given.
• S2 is fixed as the concluding sentence:
• 'He was being led around the paddocks with his head down and when he went by me I felt all hollow inside he was so beautiful.' - This perfectly complements the sequence by describing the horse's movement and the narrator's profound admiration.
• The correct sequence is CDAB.

Coherent paragraph after rearrangement:

'I remember once out at St. Cloud. It was a big two hundred thousand franc race with seven entries and Kzar a big favourite. I went around to the paddock to see the horses with my old man and you never saw such horses. This Kzar is a great big yellow horse that looks like just nothing but run. I never saw such a horse. He was being led around the paddocks with his head down and when he went by me I felt all hollow inside he was so beautiful.'

The correct answer is Option 1.

Key Points

• The paragraph describes a recurring dream about the narrator's late mother and the emotional and visual details of these encounters.
• Sentence D follows S1 because it provides the necessary real-life context to the dream described in the opening sentence. While S1 mentions discovering the mother is still alive in a dream, Sentence D clarifies the reality: 'The fact is, she died when I was in my early twenties...'
• Sentence B is the second sentence as it begins describing the specific scenarios of these dreams using the word 'Sometimes'. it depicts a familiar, domestic setting like the 'old kitchen'.
• Sentence C follows B to provide a contrast to the familiar kitchen setting. The phrase 'But other times' directly links to the 'Sometimes' in sentence B, moving the setting to the 'street' and unexpected places.
• Sentence A is the fourth sentence because it provides specific examples of the unexpected places mentioned in Sentence C, such as a 'hotel lobby' or an 'airport'.
• S2 concludes the paragraph by describing the mother's physical appearance in these dream sequences, noting that she looked 'quite well' despite the 'paralyzing disease' she had in real life.
• The logical sequence is DBCA.

Coherent paragraph after rearrangement:

'In the dream I would be the age I really was, living the life I was really living, and I would discover that my mother was still alive. (The fact is, she died when I was in my early twenties and she in her early fifties.) Sometimes I would find myself in our old kitchen, where my mother would be rolling out pie crust on the table, or washing the dishes in the battered cream-colored dishpan with the red rim. But other times I would run into her on the street, in places where I would never have expected to see her. She might be walking through a handsome hotel lobby, or lining up in an airport. She would be looking quite well - not exactly youthful, not entirely untouched by the paralyzing disease that held her in its grip for a decade or more before her death, but so much better than I remembered that I would be astonished.'