SSC GD Constable 2026 Official Paper (Held On 08 May, 2026 Shift 3) (Previous Year Paper)

Logic followed here is,

−598 − 9 = −607

−607 − 9 = −616

−616 − 9 = −625

−625 − 9 = −634

−634 − 9 = −643 (But the given term is −644)

−643 − 9 = −652

−652 − 9 = −661

Hence, the correct answer is “Option 3”.

The logic followed here is,

-16 + 4 = -12

-12 + 5 = -7

-7 + 6 = -1

-1 + 7 = 6

6 + 8 = 14

14 + 9 = 23

23 + 10 = 33

Hence, the correct answer is 'Option 3';

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Pattern followed here is,

Hence, the correct answer is “Option 1”.

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Pattern followed here is,

Hence, the correct answer is “Option 2”.

For the set '(GW, ES, CO)':

For the set '(AR, YN, WJ)':

Applying the same logic to Option 1 '(UF, SB, QX)':

Thus, the set (UF, SB, QX) follows the same logic.

Hence, the correct answer is 'Option 1'.

Logic followed here is,

-334 - 10 = -344

−344 − 11 = −355

−355 − 12 = −367

−367 − 13 = −380

−380 − 14 = −394

−394 − 15 = −409

−409 − 16 = −425

Hence, the correct answer is “Option 2”.

5 persons J, K, L, M and N are sitting in a row facing north (not necessarily in the same order).

1. N and M are at the extreme ends of the row.
2. K is the immediate neighbour of J and M.
3. L is to the left of J. 

J is sitting in the middle of the row.

Hence, the correct answer is “Option 3”.

Given that there are 6 boys with different heights: M, N, O, P, Q, and R.

From the clues, we can deduce the following relationships:

1. Height of M is less than only Q and O.

→ Only O and Q are taller than M, so the partial order is:

→ O/Q > O/Q > M > _ > _ > _

2. O is the tallest boy among all.

→ O > Q > M > _ > _ > _

3. Height of P is more than R but less than N.

→ N > P > R

4. Since M is taller than only P and R, N must be placed above M.

Combining all these facts gives the final order from tallest to shortest:

→ O > Q > M > N > P > R

Thus, the boys taller than N are O, Q, and M.

Hence, the height of 3 boys is more than N.

Hence, the correct answer is "Option 1".

Pattern followed here is,

Similarly,

Hence, the correct answer is “Option 1”.

Pattern followed here is,

Similarly,

Hence, the correct answer is “Option 3”.

QR75 : NO28 → 

MN99 : JK52 → 

Similarly, 

? : BS46 →

Hence, the correct answer is 'Option 1'.

KLP8 : FGV100 → 

MSB5 : HNH49 → 

ZXO9 : ? → 

Hence, the correct answer is 'Option 4'.

The logic followed here is:

Logic: First Number − 48 = Second Number

For the first pair 2809 : 2761

⇒ 2809 − 48 = 2761

Applying the same logic to the third pair

2487 : 2439

⇒ 2487 − 48 = 2439

Now, applying the same logic to the second pair to find the missing First Number

? : 5520

⇒ ? − 48 = 5520

⇒ ? = 5520 + 48 = 5568

Hence, the correct answer is Option 3.

The logic followed here is:

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

For the first pair 27 : 841

⇒ (27 + 2)²

⇒ 29² = 841.

For the second pair 21 : 529

⇒ (21 + 2)²

⇒ 23² = 529.

Applying the same logic to the third pair

17 : ?

⇒ (17 + 2)²

⇒ 19² = 361.

Hence, the correct answer is 'Option 2'.

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For KETO is coded as PIPJ:

For DAMN is coded as WEII:

Similarly,

let's find the code for HISS:

Hence, the correct answer is “Option 4”.

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CRANK is coded as FWZLG →

FEMME is coded as IJLKA →

Similarly, let's find the code for GUTSY:

Hence, the correct answer is “Option 4”.

Pattern followed here is,

Hence, the correct answer is “Option 2”.

Pattern followed here is,

Hence, the correct answer is “Option 2”.

At 6 AM, the hour hand is at 6 and the minute hand is at 12.

Angle between them at 6:00 = 6 × 300 = 1800

To overlap, the minute hand must cover this 1800 relative to the hour hand.

Relative speed = 60 − 0.50 = 5.50 per minute.

Time taken to overlap = 180 ÷ 5.5 = 360/11 minutes.

360/11 = 32.7272... minutes ≈ 33 minutes.

Therefore, the hands will overlap at approximately 6:33 AM.

Hence, the correct answer is “Option 2”.

 

Alternate Method

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

For the hands to overlap, the angle must be 00.

Here, H = 6.

0 = (60 × 6 − 11 × M) ÷ 2

0 = 360 − 11M

11M = 360

M = 360/11 = 32.72...

M ≈ 33 minutes.

Hence, the correct answer is 6:33.

The clock was set correctly at 10 AM.

The target time is 8 PM on the same day.

Total time duration from 10 AM to 8 PM = 10 hours

Convert the total duration into minutes:

1 hour = 60 minutes

10 hours = 10 × 60 = 600 minutes

The clock gains 3 seconds every 4 minutes.

Number of 4-minute intervals in 600 minutes = 600 / 4 = 150 intervals

Total gain in 150 intervals = 150 × 3 seconds = 450 seconds

Convert the total gain from seconds into minutes and seconds:

Gain in minutes = 450 / 60 = 7.5 minutes

0.5 minutes = 0.5 × 60 = 30 seconds

So, the total gain is 7 minutes and 30 seconds.

The time the clock will show at 8 PM = Actual time + Gain

Time shown = 8:00:00 + 0:07:30 = 8:07:30 PM

Hence, the correct answer is “Option 2”.

Alternate Method

Rate of gain = 3 seconds / 4 minutes = 0.75 seconds per minute.

Total minutes elapsed = 600 minutes.

Total gain = 600 × 0.75 = 450 seconds.

450 seconds = 450 / 60 minutes = 7 minutes 30 seconds.

Display time = 8 PM + 7 min 30 sec = 8:07:30.

Therefore, the correct answer is 8:07:30.

The correct answer is President.

Key Points

• Under Article 124(2) of the Constitution of India, the President of India is the constitutional authority empowered to appoint the Chief Justice of India (CJI) and every other Judge of the Supreme Court.
• The appointment follows the seniority principle, where the outgoing Chief Justice recommends the name of the senior-most judge of the Supreme Court to the Union Ministry of Law and Justice.
• While the Union Law Minister forwards the recommendation to the Prime Minister, who then advises the President, the President remains the ultimate appointing authority under their seal and warrant.
• The Supreme Court has established through the Second Judges Case (1993) and Third Judges Case (1998) that the President must act in accordance with the recommendations of the Collegium, which consists of the CJI and the four senior-most judges.

 Additional Information

• Supreme Court of India:
• Established under Part V, Chapter IV (Articles 124 to 147) of the Constitution, it serves as the apex judicial body.
• The Chief Justice of India holds office until the age of 65 years.
• The CJI administers the oath of office to the President, and conversely, the President administers the oath to the CJI.
• Removal Procedure:
• A Judge can only be removed by the President following an address by Parliament supported by a special majority in both houses.
• The grounds for removal are limited to proved misbehaviour or incapacity as per the Judges (Inquiry) Act, 1968.

The correct answer is Lok Sabha.

Key Points

• According to Article 75(3) of the Constitution of India, the Union Council of Ministers is collectively responsible to the Lok Sabha (House of the People).
• The principle of Collective Responsibility implies that the entire Ministry is at the helm of affairs only as long as it enjoys the confidence of the majority in the Lok Sabha.
• If a No-Confidence Motion is passed in the Lok Sabha, the entire Council of Ministers, including those ministers who are members of the Rajya Sabha, must resign immediately.
• This accountability ensures that the Executive remains subservient to the Legislature, which represents the direct will of the citizens in a Parliamentary Democracy.
• The Council of Ministers functions as a single unit; therefore, a vote of no confidence against a single minister is effectively a vote against the entire Cabinet.

 Additional Information

• President:
• While the Council of Ministers is collectively responsible to the Lok Sabha, individual ministers hold office during the pleasure of the President under Article 75(2). This is known as Individual Responsibility.
• Rajya Sabha:
• Although ministers can be chosen from the Rajya Sabha, the council is not responsible to this Upper House. The Rajya Sabha can discuss policies but cannot remove the government through a No-Confidence Motion.
• Supreme Court:
• The Judiciary performs Judicial Review to check the constitutionality of executive actions but does not hold the Council of Ministers politically accountable for day-to-day administration.

The correct answer is 0-50.

Key Points

• The National Air Quality Index (AQI) was launched in India on 17 September 2014 as part of the Swachh Bharat Abhiyan to simplify air quality data into a single number and color for the public.
• An AQI value between 0 and 50 is classified as Good, representing the best possible air quality with minimal health impact.
• This category indicates that atmospheric pollutant concentrations are well within the safe limits defined by the National Ambient Air Quality Standards (NAAQS).
• The Good category is visually represented by the Green color code on all government monitoring dashboards and public displays.
• The Central Pollution Control Board (CPCB) calculates the index based on the average concentration of pollutants over a 24-hour period (except for CO and O₃ which use 8-hour averages).
• The sub-index for the AQI is determined using eight major pollutants: PM₁₀, PM_2.5, NO₂, SO₂, CO, O₃, NH₃, and Pb.

 Additional Information

• The Indian AQI system features six distinct categories to communicate the severity of air pollution:
• Satisfactory (51−100): Color-coded Light Green; it may cause minor breathing discomfort to sensitive individuals.
• Moderately Polluted (101−200): Color-coded Yellow; can cause breathing discomfort to people with asthma or heart disease.
• Poor (201−300): Color-coded Orange; leads to breathing discomfort to most people on prolonged exposure.
• Very Poor (301−400): Color-coded Red; can result in respiratory illness upon long-term exposure.
• Severe (401−500): Color-coded Dark Red; affects even healthy individuals and poses serious health risks to those with pre-existing conditions.

The correct answer is Mean years of schooling & Expected years of schooling.

Key Points

• The Human Development Index (HDI) is a summary measure of average achievement in key dimensions of human development, released annually by the United Nations Development Programme (UNDP) since 1990.
• The Education Index is a critical component of the HDI and is calculated using the arithmetic mean of two primary indicators: Mean years of schooling and Expected years of schooling.
• Mean years of schooling measures the average number of years of education received by people aged 25 years and older, reflecting the current educational attainment of the adult population based on UNESCO Institute for Statistics data.
• Expected years of schooling estimates the total number of years of schooling a child of school-entrance age can expect to receive if current age-specific enrollment rates remain constant throughout their life.
• This methodology was adopted in the 2010 Human Development Report, replacing the older indicators of Adult Literacy Rate and Gross Enrollment Ratio to provide a more accurate assessment of educational progress and potential.

 Additional Information

• Dimensions of HDI:
• Health Index: Measured by Life Expectancy at Birth, which indicates the capability to live a long and healthy life.
• Standard of Living Index: Measured by Gross National Income (GNI) per capita at Purchasing Power Parity (PPP) in international dollars.
• Foundational Framework:
• The HDI was developed by Pakistani economist Mahbub ul Haq and Indian Nobel laureate Amartya Sen.
• It focuses on the Capability Approach, emphasizing that people and their capabilities should be the ultimate criteria for assessing the development of a country, rather than economic growth alone.
• Classification:
• Countries are grouped into four categories based on their HDI score: Very High, High, Medium, and Low human development.
• The final HDI score is derived by taking the geometric mean of the normalized indices of the three dimensions (Health, Education, and Standard of Living).

The correct answer is Bahlul Lodi.

Key Points

• The Lodi dynasty was the fifth and final ruling family of the Delhi Sultanate, governing from 1451 to 1526 AD.
• Bahlul Lodi (reigned 1451−1489) founded the dynasty after the abdication of the last Sayyid ruler, Alam Shah.
• He belonged to the Shahu Khel clan of the Pashtun (Afghan) Lodi tribe, making this the first Afghan dynasty to rule over Delhi.
• During his 38-year reign, he successfully suppressed various rebellions and annexed the Sharqi dynasty of Jaunpur in 1479, which significantly expanded his territory.
• He is historically noted for his tribal democratic approach, where he treated his Afghan nobles as peers rather than subordinates, often sitting on the floor with them to ensure their loyalty and cooperation.

 Additional Information

• Sikandar Lodi (1489−1517):
• He was the son of Bahlul Lodi and is regarded as the most powerful ruler of the dynasty.
• He founded the city of Agra in 1504 and shifted the capital from Delhi to Agra.
• He introduced the Gazz-i-Sikandari, a standardized unit for land measurement consisting of 32 digits.
• Ibrahim Lodi (1517−1526):
• He was the last Sultan of the Lodi dynasty and the Delhi Sultanate.
• His autocratic style and insistence on royal supremacy led to conflict with his Afghan nobles, prompting Daulat Khan Lodi to invite Babur to invade India.
• He was defeated and killed in the First Battle of Panipat in 1526, which ended the Sultanate era and established the Mughal Empire.

The correct answer is It excluded Indian members..

Key Points

• The Simon Commission, officially known as the Indian Statutory Commission, was sent to India in 1928 (constituted in November 1927) to review the functioning of the Government of India Act 1919.
• The commission was headed by Sir John Simon and consisted of seven members drawn from the British Parliament.
• The fundamental reason for the nationwide boycott was that the commission was an all-white body, entirely excluding Indian members, which was seen as a denial of the right of Indians to participate in deciding their own constitutional future.
• Political groups across the spectrum, including the Indian National Congress (during the 1927 Madras Session) and the All India Muslim League, resolved to boycott the commission.
• Protests were characterized by the slogan Go Back Simon and black flag demonstrations upon the commission's arrival in cities like Bombay and Lahore.

 Additional Information

• Constitutional Demands and Proposals:
• Provincial Autonomy: While the Simon Commission actually recommended the abolition of dyarchy and the implementation of Provincial Autonomy in its 1930 report, this was not the cause of the initial boycott.
• Dominion Status: The commission notably refrained from mentioning Dominion Status as a goal for India, which further aggravated Indian leaders who sought it as a minimum requirement.
• Separate Electorates: The commission recommended the continuation of Separate Electorates for communal representation, a system that remained a point of contention between different political factions.
• Impact on National Movement: The protests led to the tragic death of Lala Lajpat Rai following a lathi charge in Lahore, which radicalized the Indian youth and accelerated the demand for Purna Swaraj (Complete Independence).
• Nehru Report: In response to the challenge by Lord Birkenhead (Secretary of State) that Indians could not draft a constitution, the Nehru Report (1928) was prepared by an all-party committee.

The correct answer is Capitalism.

Key Points

• A Market Economy is an economic system where the production and pricing of goods and services are determined by the interactions of a country's individual citizens and businesses.
• The term Capitalism is used interchangeably with a market economy because it is based on the private ownership of the means of production and the creation of goods for profit.
• In this system, the allocation of resources is handled by the price mechanism, which is driven by the law of supply and demand rather than by a central planning authority.
• Fundamental features of this economy include capital accumulation, competitive markets, voluntary exchange, and a decentralized decision-making process.
• Economists like Adam Smith argued that the invisible hand of the market would lead to the most efficient economic outcomes without the need for government intervention.

 Additional Information

• Socialism:
• Refers to an economic system where the means of production are owned or regulated by the state or community.
• Focuses on social equity and the distribution of resources based on social need rather than individual profit.
• Communism:
• A radical form of socialism that advocates for a classless society where all property is publicly owned.
• It seeks to eliminate the private sector entirely, which is the cornerstone of a market economy.
• Feudalism:
• A historical social and economic system used in medieval Europe based on land ownership and military service.
• Unlike modern economies, it relied on a rigid hierarchy of lords and serfs rather than free-market exchange.

The correct answer is Carbon dioxide + water + energy.

Key Points

• Aerobic respiration is a high-efficiency metabolic process that utilizes Oxygen to break down organic molecules for cellular energy.
• The process initiates in the Cytoplasm through Glycolysis, where a single Glucose molecule is converted into two Pyruvate molecules.
• In the presence of oxygen, Pyruvate is transported into the Mitochondria, where it undergoes oxidative decarboxylation to become Acetyl-CoA before entering the Krebs Cycle.
• Within the Mitochondrial Matrix and the Inner Mitochondrial Membrane, the carbon atoms in pyruvate are completely oxidized to form Carbon dioxide (CO₂).
• The Electron Transport Chain (ETC) facilitates the transfer of electrons to oxygen, the final electron acceptor, resulting in the formation of Water (H₂O).
• This mitochondrial breakdown is the primary source of ATP (Adenosine Triphosphate), yielding approximately 30 to 32 ATP molecules per glucose molecule, which constitutes the Energy used for cellular functions.

 Additional Information

• Anaerobic Respiration Pathways:
• Lactic Acid Formation: This occurs in Muscle Cells during vigorous exercise when oxygen levels are depleted. Pyruvate is converted into Lactic Acid and energy, which can lead to muscle fatigue.
• Ethanol Fermentation: Typically observed in Yeast and certain bacteria, this anaerobic process converts pyruvate into Ethanol, Carbon dioxide, and energy. This is a fundamental process in the Brewing and Baking industries.
• Mitochondria:
• Known as the Powerhouse of the Cell, these organelles possess their own Mitochondrial DNA and a double-membrane structure.
• The inner membrane is folded into Cristae to increase the surface area for the enzymes involved in the ATP synthase process.

The correct answer is Swabhav Swachhata, Sanskaar Swachhata.

Key Points

• The Swachhata Hi Seva (SHS) 2024 campaign was observed from September 17 (Sewa Diwas) to October 2, 2024 (Swachh Bharat Diwas).
• The theme for the 2024 edition was Swabhav Swachhata, Sanskaar Swachhata, which translates to 'Cleanliness of Nature, Cleanliness of Culture'.
• This year marks the 10th anniversary of the launch of the Swachh Bharat Mission (SBM) in 2014.
• The campaign is a joint initiative led by the Ministry of Housing and Urban Affairs (MoHUA) and the Department of Drinking Water and Sanitation under the Ministry of Jal Shakti.
• It focuses on massive advocacy and community mobilization to strengthen the commitment toward a cleaner India.

 Additional Information

• The 2024 campaign was structured around three primary pillars:
• Swachhata Ki Bhagidari: Encouraging public participation through large-scale awareness activities and community engagement.
• Sampoorna Swachhata: Focusing on the transformation of Cleanliness Target Units (CTUs), which involve clearing difficult and neglected waste spots across the country.
• Safai Mitra Suraksha Shivirs: Organizing camps to provide health check-ups, safety equipment, and social security benefits to sanitation workers.
• The Swachh Bharat Mission was launched on October 2, 2014, with the vision of achieving an Open Defecation Free (ODF) nation.
• SBM-Urban 2.0 and SBM-Gramin Phase II are currently being implemented to ensure sustainable sanitation and 100 percent scientific processing of solid waste.
• Previous themes included 'Garbage Free India' for the year 2023, highlighting the evolution of the campaign's focus areas.

The correct answer is Madurai.

Key Points

• The Pandya Dynasty was one of the three major Tamil kingdoms of Southern India, collectively known as the Muventar, alongside the Cholas and the Cheras.
• Madurai, located on the banks of the Vaigai River, served as the primary and most enduring capital of the Pandyas from ancient times through the medieval period.
• The city was the epicenter of Tamil culture and the seat of the Sangam assemblies, where scholarly poets gathered under royal patronage to compile the Sangam literature.
• The Pandyas initially controlled the southern tip of the Indian peninsula, and their early capital and major port was Korkai, famous for its pearl fishery, before the administrative center shifted inland to Madurai.
• The dynasty adopted the Fish as its royal emblem, symbolizing their dominance over the coastal regions and the Indian Ocean trade routes.

 Additional Information

• Ujjain:
• Located in the Malwa region of Madhya Pradesh, it was the ancient capital of the Avanti Mahajanapada.
• It served as a vital trade hub connecting North and West India and was a center for Hindu astronomy.
• Vaishali:
• Situated in modern-day Bihar, it was the capital of the Vrijji confederacy and the Licchavi clan.
• It is celebrated as the site of one of the world's first republican governments (Gana-Sangha).
• Amravati:
• Located in the Guntur district of Andhra Pradesh, it served as the capital for the Satavahana Dynasty under the name Dhanyakataka.
• It is architecturally significant for the Great Stupa, a masterpiece of Buddhist art and the Amaravati school of sculpture.

The correct answer is Only I.

Key Points

• Forests were originally part of the State List but were moved to the Concurrent List (List III) of the Seventh Schedule following the 42nd Constitutional Amendment Act of 1976. This allows both the Union Parliament and the State Legislatures to enact laws concerning forest conservation and management. Hence, statement I is correct.
• Banking is a subject of national importance that requires a uniform policy throughout the country. It is explicitly listed under Entry 45 of the Union List (List I) in the Seventh Schedule. Therefore, only the Central Government has the exclusive power to make laws related to banking operations and the Reserve Bank of India. Hence, statement II is incorrect.

 Additional Information

• Seventh Schedule: Under Article 246, the Constitution classifies legislative powers into three lists to maintain the federal structure of India.
• Union List (List I): Includes subjects like Defense, Foreign Affairs, Railways, and Atomic Energy. It currently contains 100 subjects.
• State List (List II): Includes subjects like Police, Public Health, Agriculture, and Local Government. It currently contains 61 subjects.
• Concurrent List (List III): Includes subjects like Education, Forests, Marriage and Divorce, and Trade Unions. It currently contains 52 subjects.
• 42nd Amendment Act, 1976: This landmark amendment transferred five subjects from the State List to the Concurrent List, namely:
• Education
• Forests
• Weights and Measures
• Protection of Wild Animals and Birds
• Administration of Justice
• Residuary Powers: Subjects not mentioned in any of the three lists fall under Residuary Powers, which are vested in the Union Parliament as per Article 248.

The correct answer is Chapchar Kut.

Key Points

• Chapchar Kut is the most significant and oldest traditional festival celebrated by the people of Mizoram, often referred to as the Festival of Spring.
• It is observed as a thanksgiving ceremony following the arduous task of clearing forests (cutting and burning trees) for Jhum cultivation, which is the traditional slash-and-burn agricultural practice of the region.
• The festival is typically celebrated in the month of March, marking the interval between the burning of the forest debris and the arrival of the first rains for sowing seeds.
• A major highlight of the festivities is the performance of the Cheraw dance, also known as the Bamboo Dance, where performers display intricate footwork between rhythmically tapped bamboo poles.
• It represents a period of communal joy and peace, where the Mizo people dress in vibrant traditional attire, participate in grand feasts, and sing folk songs to celebrate their cultural heritage.

 Additional Information

• Dree:
• This is an agricultural festival celebrated by the Apatani tribe in Arunachal Pradesh.
• It is observed to seek the blessings of deities for a successful harvest and to protect crops from insects and famine.
• Losar:
• It marks the Tibetan New Year and is celebrated with great fervor in Arunachal Pradesh (by the Monpa tribe), Sikkim, and Ladakh.
• The festival involves cleaning homes, religious offerings, and masked dances in Buddhist monasteries.
• Beh-dien-khlam:
• This is a major socio-religious festival of the Pnar (Jaintia) people in Meghalaya.
• The literal meaning is Chasing away the Plague, performed to drive away evil spirits and ensure the well-being of the community.

The correct answer is Ministry of Agriculture and Farmers Welfare.

Key Points

• The National Rainfed Area Authority (NRAA) was constituted by the Government of India on November 3, 2006, as an expert body to provide technical inputs for the planning and management of rainfed farming.
• It functions as an attached office under the Department of Agriculture and Farmers Welfare within the Ministry of Agriculture and Farmers Welfare.
• The mandate of the NRAA is to address the ecological, social, and economic problems of rainfed areas, which account for nearly 51 percent of the net sown area and support 40 percent of the human and 60 percent of the livestock population in India.
• The authority provides technical assistance for the convergence of various schemes like the Watershed Development Component of Pradhan Mantri Krishi Sinchayee Yojana (PMKSY).
• It is headed by a Chief Executive Officer (CEO) and operates under the guidance of a Governing Board chaired by the Union Agriculture Minister.
• NRAA plays a crucial role in improving the agricultural productivity and sustainability of fragile ecosystems through holistic development strategies and climate-resilient farming practices.

 Additional Information

• Ministry of Jal Shakti:
• Formed in May 2019 by merging the Ministry of Water Resources, River Development and Ganga Rejuvenation with the Ministry of Drinking Water and Sanitation.
• Responsible for the Jal Jeevan Mission, Namami Gange, and national river interlinking projects.
• Ministry of Cooperation:
• Established in July 2021 to realize the vision of Sahakar se Samriddhi (Prosperity through Cooperation).
• Focuses on strengthening the cooperative movement and streamlining the processes for Multi-State Cooperative Societies.
• Ministry of Earth Sciences:
• Formed in 2006, it deals with oceanography, meteorology, and seismology.
• Oversees institutes like the India Meteorological Department (IMD) and the National Centre for Medium Range Weather Forecasting (NCMRWF).

The correct answer is To amplify sound for clearer hearing.

Key Points

• The primary function of a hearing aid is amplification, which involves increasing the intensity or amplitude of sound waves to make them audible for individuals with hearing impairments.
• Scientifically, the device acts as an electroacoustic transducer. It uses a microphone to capture sound waves and convert them into electrical signals, which are then processed and strengthened.
• The amplifier within the device boosts the power of these signals. Modern digital hearing aids use complex Digital Signal Processing (DSP) to specifically amplify the frequency ranges where the user has the most significant hearing loss, typically between 250 Hz and 8000 Hz.
• The amplified electrical signal is converted back into acoustic energy by a receiver (miniature speaker) and delivered into the ear canal at a higher decibel (dB) level, facilitating clearer perception of speech and environmental sounds.
• Hearing aids are primarily designed to assist with Sensorineural Hearing Loss, which involves damage to the hair cells in the Cochlea, by providing a louder signal that the auditory nerve can still detect and transmit to the brain.

 Additional Information

• Core Components of a Hearing Aid:
• Microphone: Picks up acoustic signals from the environment.
• Amplifier/Processor: Increases signal strength and filters out unwanted frequencies.
• Receiver: Transmits the amplified sound into the ear.
• Power Source: Usually a Zinc-air battery or a rechargeable Lithium-ion cell.
• Historical Context:
• The first wearable electronic hearing aid, the Akouphone, was created in 1898.
• The invention of the Transistor at Bell Labs in 1947 was a major milestone, allowing devices to become small enough to wear behind the ear.
• Advanced Features:
• Noise Reduction: Distinguishes between speech and steady-state background noise to improve comfort.
• Directionality: Uses dual microphones to focus on sound coming from the front, enhancing the Signal-to-Noise Ratio (SNR) in crowded settings.

The correct answer is 5.5%.

Key Points

• According to the Census 2011, the total population of Rajasthan was recorded at approximately 6.85 crore (68,548,437), which constitutes about 5.66% of India’s total population of 121.05 crore.
• Among the given options, 5.5% is the nearest and most accepted figure in various state-level examinations representing Rajasthan's share of the national population.
• Rajasthan is the largest state in India by geographical area, covering 3,42,239 square kilometers, which is about 10.41% of the total land area of the country.
• Despite its vast landmass, the state’s population share is relatively lower due to the presence of the Thar Desert and arid climatic conditions, which restrict high-density settlements in western regions.
• In terms of population ranking during the 2011 Census, Rajasthan was the seventh most populous state in India.

 Additional Information

• Rajasthan Demographic Indicators (Census 2011):
• Population Density: The state has a density of 200 persons per square kilometer, which is much lower than the national average of 382.
• Sex Ratio: The sex ratio in Rajasthan stands at 928 females per 1000 males.
• Literacy Rate: The overall literacy rate of the state is 66.11%, with male literacy at 79.19% and female literacy at 52.12%.
• Decadal Growth: The population growth rate between 2001 and 2011 was 21.31%.
• District Data: Jaipur is the most populated district, while Jaisalmer is the least populated district in the state.

The correct answer is Open market operation.

Key Points

• Open Market Operations (OMO) are the primary tools used by the Reserve Bank of India (RBI) to regulate the money supply and maintain liquidity within the Indian economy.
• This process involves the purchase and sale of Government Securities (G-Secs), such as Treasury Bills and dated securities, directly in the open market to or from commercial banks and financial institutions.
• When the RBI determines that there is excess liquidity (which may lead to high inflation), it sells government bonds. This action mops up cash from the banking system, thereby reducing the funds available for lending.
• Conversely, to boost liquidity and stimulate economic activity, the RBI purchases bonds from the market, injecting fresh capital into the banking system and lowering the cost of credit.
• OMOs serve as a quantitative instrument of monetary policy, helping the central bank influence short-term interest rates and align them with the Policy Repo Rate.

 Additional Information

• Moral Suasion:
• This is a qualitative or selective credit control method where the RBI uses psychological pressure and persuasion through meetings and circulars to convince banks to comply with its monetary guidelines.
• Margin Requirement:
• This refers to the difference between the market value of security (collateral) offered for a loan and the actual amount of credit granted. It is used to restrict the flow of credit to speculative or unproductive sectors.
• Evergreening of loans:
• It is a banking practice where a lender provides a new loan to a borrower to repay an existing debt. This is often done to prevent the original loan from being classified as a Non-Performing Asset (NPA).

The correct answer is 2008.

Key Points

• Michael Phelps achieved the historic feat of winning eight gold medals in a single Olympic Games during the 2008 Beijing Olympics.
• This performance broke the long-standing record held by Mark Spitz, who won seven gold medals at the 1972 Munich Olympics.
• Phelps won gold in the 400m Individual Medley, 200m Freestyle, 100m Butterfly, 200m Butterfly, 200m Individual Medley, 4×100m Freestyle Relay, 4×200m Freestyle Relay, and 4×100m Medley Relay.
• In addition to winning gold in every event he entered, Phelps set seven world records and one Olympic record (in the 100m butterfly) during the competition.
• The Water Cube (Beijing National Aquatics Center) was the venue where Phelps completed this unprecedented achievement on August 17, 2008.

 Additional Information

• 2004 Athens Olympics:
• Phelps won six gold and two bronze medals at the age of 19.
• He became the second male swimmer to win more than six medals in one Olympic Games.
• 2012 London Olympics:
• He secured four gold and two silver medals.
• During these games, he surpassed Soviet gymnast Larisa Latynina to become the most decorated Olympian of all time.
• 2016 Rio Olympics:
• In his final Olympic appearance, Phelps won five gold and one silver medal.
• He retired with a total of 28 Olympic medals, including 23 gold, 3 silver, and 2 bronze, across five Olympic appearances (2000−2016).

The correct answer is Egypt.

Key Points

• The Philadelphi Corridor, which is also referred to as the Saladin Axis, is a narrow strip of land approximately 14 kilometers (8.7 miles) long and about 100 meters wide.
• It is geographically situated along the entire border between the Gaza Strip and the country of Egypt, stretching from the Mediterranean Sea to the Kerem Shalom border crossing.
• This buffer zone was established under the terms of the 1979 Egypt-Israel Peace Treaty to serve as a demilitarized area between the two nations.
• The primary strategic objective of the corridor is to act as a security barrier to prevent the smuggling of illicit materials, weapons, and personnel between the Sinai Peninsula and Gaza.
• The Rafah Crossing, which is the only land exit from the Gaza Strip not directly bordering Israel, is located along this critical corridor.

 Additional Information

• Philadelphi Accord (2005):
• Following Israel's unilateral disengagement from Gaza in 2005, Israel and Egypt signed this specific accord to regulate the security of the border.
• It authorized Egypt to deploy 750 border guards equipped with light weaponry to patrol the area and combat terrorism and cross-border smuggling.
• The accord ensured that the Egyptian deployment was for security purposes rather than military aggression, maintaining the spirit of the Camp David Accords.
• Recent Developments:
• The corridor has gained significant international attention during the 2023-2024 Israel-Hamas conflict, as control over this strip is viewed as vital for neutralizing underground smuggling tunnels.
• Geopolitically, the corridor remains one of the most sensitive zones in the Middle East, directly impacting the humanitarian and security situation in the region.

The correct answer is B.R. Ambedkar.

Key Points

• Annihilation of Caste is an undelivered speech written in 1936 by Dr. B.R. Ambedkar, the principal architect of the Indian Constitution and a champion of Dalit rights.
• The text was originally prepared as the presidential address for the annual conference of the Jat-Pat-Todak Mandal, an anti-caste Hindu reformist group based in Lahore.
• The organizers cancelled the conference after reviewing the draft, as they found Ambedkar’s critique of Hindu religious texts, specifically the Vedas and Shastras, to be too radical and unacceptable.
• Following the cancellation, Ambedkar self-published the speech in book form, which eventually became a seminal work in Indian political and social philosophy.
• The book argues that the caste system is not merely a division of labor but a division of laborers based on graded inequality, and it calls for the total annihilation of the system rather than superficial reforms.
• It also features a famous exchange of arguments between Ambedkar and Mahatma Gandhi, who critiqued the work in his journal Harijan.

 Additional Information

• Dada Bhai Naurauji:
• Commonly referred to as the Grand Old Man of India.
• Authored the famous book Poverty and Un-British Rule in India, which introduced the Drain of Wealth theory explaining how Britain was depleting India’s resources.
• Tarak Nath Das:
• An Indian revolutionary and scholar associated with the Ghadar Party.
• He founded the newspaper Free Hindustan in North America to advocate for India’s independence.
• Chittaranjan Das:
• Widely known by the title Deshbandhu (Friend of the Nation).
• He was a leading lawyer and the co-founder of the Swaraj Party in 1923 alongside Motilal Nehru.

The correct answer is Sania Mirza.

Key Points

• PV Sindhu is a decorated badminton player who secured a Silver medal at the 2016 Rio Olympics and a Bronze medal at the 2020 Tokyo Olympics. Hence, statement 1 is incorrect.
• Sania Mirza, a former World No. 1 in doubles, participated in four Olympic Games (2008, 2012, 2016, 2020) but never won a medal, finishing fourth in the Mixed Doubles at Rio 2016. Hence, statement 2 is correct.
• Saina Nehwal made history by winning the Bronze medal in Badminton at the 2012 London Olympics, becoming the first Indian shuttler to win an Olympic medal. Hence, statement 3 is incorrect.
• Mary Kom, an iconic boxer, clinched the Bronze medal in the flyweight category during the 2012 London Olympics. Hence, statement 4 is incorrect.

 Additional Information

• Sania Mirza:
• She has won six Grand Slam titles, including three in Women's Doubles and three in Mixed Doubles.
• She was awarded the Major Dhyan Chand Khel Ratna in 2015 and the Padma Bhushan in 2016 for her contributions to sports.
• Olympic Milestones for India:
• Karnam Malleswari was the first Indian woman to win an Olympic medal (Bronze in Weightlifting, 2000).
• PV Sindhu is the only Indian woman to win two individual Olympic medals.
• Leander Paes remains the only Indian to win an Olympic medal in Tennis (Bronze, 1996).

Shortcut Trick

Apply BODMAS: Solve the bracket first, then multiplication, then addition/subtraction.

⇒ (25 + 19) = 44

⇒ 44 × 2 = 88

⇒ 71 + 56 − 88 + 92 − 38 = (71 + 56 + 92) − (88 + 38) = 219 − 126 = 93

∴ The correct answer is 93.

Alternate Method

Given Expression: 71 + 56 − (25 + 19) × 2 + 92 − 38

Rule Used: BODMAS (Bracket, Order, Division, Multiplication, Addition, Subtraction)

⇒ 71 + 56 − (44) × 2 + 92 − 38 (Solving Bracket)

⇒ 71 + 56 − 88 + 92 − 38 (Performing Multiplication)

⇒ 127 − 88 + 92 − 38 (Performing Addition from left to right)

⇒ 39 + 92 − 38

⇒ 131 − 38

⇒ 93

∴ The correct answer is 93.

Additional Information

BODMAS Rule Hierarchy

Operations must follow the order: Brackets ((), {}, []), Orders (powers, square roots), Division, Multiplication, Addition, and Subtraction.

Sign Convention for Grouping

To avoid mistakes in large expressions, group all positive terms and negative terms separately before the final subtraction.

Multiplication Priority

Always ensure that a multiplication operation (like 44 × 2) is completed before any addition or subtraction that surrounds it.

Shortcut Trick

Apply the BODMAS rule to solve the expression efficiently.

Solve Of and Brackets first: (27 of 2) = 54 and 18 of 2 = 36.

Next, perform Division: 44 ÷ 4 = 11.

Simplify the expression by canceling out +36 and −36: 89 + 33 − 54 + 11 + 0.

Final calculation: 122 − 54 + 11 = 68 + 11 = 79.

∴ The correct answer is 79.

Alternate Method

Given Expression: 89 + 33 − (27 of 2) + 44 ÷ 4 + 18 of 2 − 36

Formula Used: BODMAS (Bracket, Of, Division, Multiplication, Addition, Subtraction)

⇒ 89 + 33 − 54 + 44 ÷ 4 + 36 − 36 (Solving Bracket and Of operations)

⇒ 89 + 33 − 54 + 11 + 36 − 36 (Performing Division: 44 ÷ 4 = 11)

⇒ 122 − 54 + 11 + 0 (Solving Addition: 89 + 33 = 122 and 36 − 36 = 0)

⇒ 68 + 11 (Solving Subtraction: 122 − 54 = 68)

⇒ 79

∴ The correct answer is 79.

Additional Information

BODMAS Rule

It stands for Bracket (), Of (multiplication), Division (÷), Multiplication (×), Addition (+), and Subtraction (−).

The 'Of' Operator

In simplification, Of indicates multiplication and must be calculated before division and regular multiplication.

Left-to-Right Priority

When operations of the same priority (like addition and subtraction) remain, solve them from left to right for accuracy.

Shortcut Trick

Identify the pair in the options that satisfies the sum = 156.

Option 1: 13 + 39 = 52 | Option 2: 65 + 91 = 156

Option 3: 39 + 65 = 104 | Option 4: 78 + 91 = 169

Only 65 and 91 satisfy the sum condition; also their LCM is 455 (13 × 5 × 7).

∴ The correct answer is 65 and 91.

Alternate Method

Given: Sum = 156, HCF = 13, LCM = 455.

⇒ Let the numbers be 13a and 13b, where a and b are co-prime numbers.

⇒ Sum: 13a + 13b = 156 ⇒ 13(a + b) = 156 ⇒ a + b = 12.

⇒ LCM: 13 × a × b = 455 ⇒ ab = 455 ÷ 13 = 35.

⇒ We need two numbers with sum 12 and product 35: (a + b) = 12 and (ab) = 35.

⇒ The factors of 35 are 5 and 7, and their sum 5 + 7 = 12. Thus, a = 5 and b = 7.

⇒ First number = 13 × 5 = 65.

⇒ Second number = 13 × 7 = 91.

∴ The correct answer is 65 and 91.

Additional Information

Fundamental Product Rule

For any two numbers x and y, the product of the numbers is equal to the product of their HCF and LCM: x × y = HCF × LCM.

HCF and Sum Relation

The HCF of two numbers always divides their sum, their difference, and their LCM exactly.

LCM in terms of HCF

If two numbers are represented as Ha and Hb (where H is HCF), then their LCM is H × a × b, where a and b are co-prime.

Shortcut Trick

Simplify each square root independently: √0.0169 = 0.13, √3.24 = 1.8, and √0.0576 = 0.24.

Substitute the roots back into the given expression: (0.13 ÷ 1.3) × (0.18 ÷ 1.8) × (0.24 ÷ 0.24).

The calculation reduces to 0.1 × 0.1 × 1 = 0.01.

∴ The correct answer is 0.01.

Alternate Method

Given: (√0.0169 ÷ 1.3) × (0.18 ÷ √3.24) × (0.24 ÷ √0.0576)

Step 1: Calculate the square roots of the decimal numbers.

⇒ √0.0169 = √(169 ÷ 10000) = 13 ÷ 100 = 0.13

⇒ √3.24 = √(324 ÷ 100) = 18 ÷ 10 = 1.8

⇒ √0.0576 = √(576 ÷ 10000) = 24 ÷ 100 = 0.24

Step 2: Substitute these values into the original simplification expression.

⇒ (0.13 ÷ 1.3) × (0.18 ÷ 1.8) × (0.24 ÷ 0.24)

Step 3: Solve each term by adjusting the decimal places.

⇒ 0.13 ÷ 1.3 = 13 ÷ 130 = 0.1

⇒ 0.18 ÷ 1.8 = 18 ÷ 180 = 0.1

⇒ 0.24 ÷ 0.24 = 1

Step 4: Multiply the results together.

⇒ 0.1 × 0.1 × 1

⇒ 0.01

∴ The correct answer is 0.01.

Additional Information

Square Root of Decimals

The number of decimal places in the square root is always half the number of decimal places in the square itself (e.g., 4 places in 0.0169 become 2 places in 0.13).

Common Squares

Memorizing basic squares like 13² = 169, 18² = 324, and 24² = 576 helps in solving simplification problems faster.

BODMAS Rules

Always evaluate operations inside brackets and roots before performing multiplication and division in a sequence.

Shortcut Trick

Identify the unit digit of each square root: √169 ends in 3, √81 ends in 9, and √121 ends in 1.

Multiply the unit digits: 3 × 9 × 1 = 27.

The final result must have 7 as its unit digit.

Comparing with the options, only 1287 ends with the digit 7.

∴ The correct answer is 1287.

Alternate Method

Given: x = √169 × √81 × √121

Formula Used: Square root calculation and basic multiplication.

⇒ √169 = 13 (since 13 × 13 = 169)

⇒ √81 = 9 (since 9 × 9 = 81)

⇒ √121 = 11 (since 11 × 11 = 121)

⇒ x = 13 × 9 × 11

⇒ x = 117 × 11

⇒ x = 1287

∴ The correct answer is 1287.

Additional Information

Perfect Squares

A perfect square is a number that can be expressed as the product of an integer with itself. For exam speed, memorize squares from 1 to 30.

Multiplication by 11 Shortcut

To multiply a number by 11, such as 117 × 11, write down the last digit (7), add adjacent digits (7+1=8, 1+1=2), and write the first digit (1) to get 1287.

Square Root Properties

The property √(a × b) = √a × √b allows for the simplification of products involving multiple square roots independently.

Shortcut Trick

Breadth = Area ÷ Length = 54 ÷ 9 = 6 cm

Required Ratio (Length : Breadth) = 9 : 6 = 3 : 2

∴ The correct answer is 3 : 2.

Alternate Method

Given:

Area of the Rectangle = 54 cm²

Length of the Rectangle = 9 cm

Formula Used:

Area of Rectangle = Length × Breadth

Ratio = Length : Breadth

Calculations:

⇒ 54 = 9 × Breadth

⇒ Breadth = 54 ÷ 9

⇒ Breadth = 6 cm

⇒ Ratio = Length : Breadth

⇒ Ratio = 9 : 6

⇒ Ratio = 3 : 2

∴ The correct answer is 3 : 2.

Additional Information

Perimeter of a Rectangle

The total distance around the boundary of a rectangle is calculated using the formula: P = 2 × (length + breadth).

Diagonal of a Rectangle

The diagonal (d) of a rectangle is the distance between opposite vertices: d = √(length² + breadth²).

Properties of Rectangle

A rectangle is a parallelogram where all four internal angles are right angles (90°) and opposite sides are equal and parallel.

Shortcut Trick

Smallest 4-digit number = 1000.

Divide 1000 by 17 → 1000 = (17 × 58) + 14 (Remainder).

To find the next multiple: 1000 + (17 − 14) = 1003.

∴ The correct answer is 1003.

Alternate Method

Given: Divisor = 17, Required number = Smallest 4-digit number.

⇒ Smallest 4-digit number = 1000

⇒ Divide 1000 by 17:

⇒ 1000 = 17 × 58 + 14

⇒ The smallest 4-digit number divisible by 17 must be the multiple just after 986.

⇒ Next Multiple = 17 × 59

⇒ 17 × (60 − 1) = 1020 − 17

⇒ Required number = 1003

∴ The correct answer is 1003.

Additional Information

Divisibility Rule for 17

To check if a number is divisible by 17, subtract 5 times the last digit from the remaining truncated number. Repeat if necessary. Example: 1003 → 100 − (5 × 3) = 85, which is 17 × 5.

General Formula for Smallest n-digit Multiplier

Smallest n-digit number divisible by x = (Smallest n-digit number) + (x − Remainder), where Remainder is obtained by dividing the smallest n-digit number by x.

Largest n-digit Multiplier

Largest n-digit number divisible by x = (Largest n-digit number) − (Remainder obtained by dividing it by x).

Shortcut Trick

Apply the algebraic identity: a² − b² = (a + b)(a − b).

Let a = 3.452 and b = 2.948.

Calculate the difference: (a − b) = 3.452 − 2.948 = 0.504, which is equal to the denominator.

The expression simplifies to (a + b) × (a − b) ÷ (a − b) = a + b.

Required value = 3.452 + 2.948 = 6.4.

∴ The correct answer is 6.4.

Alternate Method

Given:

Numerator = (3.452)² − (2.948)²

Denominator = 0.504

Formula Used:

The difference of squares formula: a² − b² = (a + b)(a − b)

Calculations:

⇒ Let a = 3.452 and b = 2.948

⇒ a + b = 3.452 + 2.948 = 6.400

⇒ a − b = 3.452 − 2.948 = 0.504

⇒ Numerator = 6.4 × 0.504

⇒ Expression = (6.4 × 0.504) ÷ 0.504

⇒ Expression = 6.4

∴ The correct answer is 6.4.

Additional Information

Difference of Two Squares

The expression a² − b² can always be factored into (a − b)(a + b).

Perfect Square Trinomial (Sum)

The square of a sum is given by (a + b)² = a² + 2ab + b².

Perfect Square Trinomial (Difference)

The square of a difference is given by (a − b)² = a² − 2ab + b².

Shortcut Trick

Sum of Length (L) and Breadth (B) = 60 ÷ 2 = 30 cm.

Ratio L : B = 4 : 1 ⇒ Total 5 units = 30 cm ⇒ 1 unit = 6 cm.

Actual dimensions: L = 24 cm and B = 6 cm.

Diagonal = √(24² + 6²) = 6 × √(4² + 1²) = 6√17 cm.

∴ The correct answer is 6√17 cm.

Alternate Method

Given: Perimeter of rectangle = 60 cm, Length (L) = 4 × Breadth (B).

Formula Used: Perimeter = 2(L + B); Diagonal = √(L² + B²).

⇒ 2(L + B) = 60

⇒ L + B = 30

⇒ Since L = 4B, 4B + B = 30

⇒ 5B = 30 ⇒ Breadth (B) = 6 cm

⇒ Length (L) = 4 × 6 = 24 cm

⇒ Diagonal = √(24² + 6²)

⇒ Diagonal = √(576 + 36) = √612

⇒ Diagonal = √(36 × 17) = 6√17 cm

∴ The correct answer is 6√17 cm.

Additional Information

Diagonal of a Rectangle

The diagonal of a rectangle forms the hypotenuse of a right-angled triangle with the length and breadth: d = √(l² + b²).

Area of a Rectangle

The total space occupied by the rectangle is given by Area = Length × Breadth (l × b).

Pythagorean Triplets

Common sets of integers that satisfy a² + b² = c², such as (3, 4, 5) or (5, 12, 13), help in quick calculation of diagonals.

Shortcut Trick

Total weight (A+B+C) = 30 × 3 = 90 kg

Total of sub-groups (A+B) and (B+C) = (34 × 2) + (28 × 2) = 68 + 56 = 124 kg

Since B is common to both sub-groups, its weight is the difference between the combined sub-groups and the total sum.

Weight of B = 124 − 90 = 34 kg

∴ The correct answer is 34 kg.

Alternate Method

Given:

Average weight of A, B, and C = 30 kg

Average weight of A and B = 34 kg

Average weight of B and C = 28 kg

Formula Used:

Sum of observations = Average × Number of observations

Calculations:

⇒ Total weight of A + B + C = 30 × 3 = 90 kg --- (1)

⇒ Total weight of A + B = 34 × 2 = 68 kg --- (2)

⇒ Total weight of B + C = 28 × 2 = 56 kg --- (3)

⇒ Adding equation (2) and (3):

⇒ (A + B) + (B + C) = 68 + 56

⇒ A + 2B + C = 124 kg

⇒ (A + B + C) + B = 124 kg

⇒ Substituting value from (1):

⇒ 90 + B = 124

⇒ B = 124 − 90 = 34 kg

∴ The correct answer is 34 kg.

Additional Information

Arithmetic Mean (Average)

The average of a set of numbers is the sum of all observations divided by the total number of observations. Formula: Average = Σx ÷ n.

Combined Average

When two groups with averages A₁ and A₂ and sizes n₁ and n₂ are combined, the new average is (n₁A₁ + n₂A₂) ÷ (n₁ + n₂).

Weighted Average

It is an average where each observation has a different weight. Weighted Average = Σ(weight_i × value_i) ÷ Σweight_i.

Shortcut Trick

Net increase in the average = 42 − 30 = 12

Total increase in sum = Increase in average × Total numbers = 12 × 8 = 96

New number = Replaced number + Total increase = 20 + 96 = 116

∴ The correct answer is 116.

Alternate Method

Given:

Number of observations = 8

Original average = 30

Replaced number = 20

New average = 42

Formula Used:

Total Sum = Average × Number of observations

New Number = New Total Sum − (Original Total Sum − Replaced Number)

⇒ Original total sum = 8 × 30 = 240

⇒ Sum of the other 7 numbers = 240 − 20 = 220

⇒ New total sum = 8 × 42 = 336

⇒ New number = 336 − 220 = 116

∴ The correct answer is 116.

Additional Information

Arithmetic Mean

The average or mean is the sum of all values divided by the total count. Formula: Average = (∑x_i) ÷ n.

Replacement Rule

When one value is replaced, the change in average is equal to (New Value − Old Value) ÷ Total Count.

Scaling Property

If every number in a data set is increased or decreased by a constant value k, the average also increases or decreases by k.

Shortcut Trick

The Highest Common Factor (HCF) is the common multiplier between terms of a ratio.

Numbers = (Ratio Parts) × HCF

First number = 3 × 5 = 15

Second number = 7 × 5 = 35

∴ The correct answer is 15, 35.

Alternate Method

Given:

Ratio of numbers = 3 : 7

HCF = 5

Calculations:

⇒ Let the two numbers be 3x and 7x, where x is a common factor.

⇒ Since 3 and 7 are co-prime (no common factor other than 1), the HCF of 3x and 7x is x.

⇒ From the question, HCF = 5, so x = 5.

⇒ First number = 3x = 3 × 5 = 15.

⇒ Second number = 7x = 7 × 5 = 35.

∴ The correct answer is 15, 35.

Additional Information

Fundamental Relation

For any two numbers, Product of numbers = HCF × LCM.

LCM from Ratio and HCF

If the ratio of two numbers is a : b and their HCF is h, then their Least Common Multiple (LCM) = a × b × h.

Co-prime Numbers

Two numbers are called co-prime if their HCF is 1. All prime numbers are co-prime to each other.

Shortcut Trick

In a mixture, 18% weight represents the weight of Element A.

Given that 18% = 90 kg

⇒ 1% = 90 ÷ 18 = 5 kg

⇒ 100% (Total weight) = 5 × 100 = 500 kg

∴ The correct answer is 500 kg.

Alternate Method

Given:

⇒ Weight of Element A in the mixture = 90 kg

⇒ Percentage of Element A by weight = 18%

Formula Used:

⇒ Total Weight = (Weight of component ÷ Percentage of component) × 100

Calculations:

Let the total weight of the mixture be 'W' kg.

⇒ 18% of W = 90

⇒ (18 ÷ 100) × W = 90

⇒ W = (90 × 100) ÷ 18

⇒ W = 5 × 100

⇒ W = 500 kg

∴ The correct answer is 500 kg.

Additional Information

Percentage to Value Conversion

To find the value of a percentage of a total: Value = (Total × Percentage) ÷ 100.

Finding the Base Value

If x% of a number is 'A', then the number itself (100%) is calculated as (A ÷ x) × 100.

Successive Percentage

If a value increases by a% and then by b%, the net percentage change is given by [a + b + (a × b) ÷ 100]%.

Shortcut Trick

Profit percentage 20% corresponds to 1/5 in fraction form.

If 1 unit (Profit) = ₹50

Then 5 units (Cost Price) = 5 × ₹50 = ₹250

∴ The correct answer is ₹250.

Alternate Method

Given: Profit = ₹50, Profit Percentage = 20%

Formula Used: Profit % = (Profit ÷ Cost Price) × 100

⇒ Profit % = (Profit ÷ Cost Price) × 100

⇒ 20 = (50 ÷ Cost Price) × 100

⇒ Cost Price = (50 × 100) ÷ 20

⇒ Cost Price = 50 × 5

⇒ Cost Price = ₹250

∴ The correct answer is ₹250.

Additional Information

Selling Price (SP)

Selling price is the sum of Cost Price and Profit. SP = CP × (100 + Profit %)/100.

Loss Percentage

When CP is greater than SP, a loss occurs. Loss % = (Loss ÷ CP) × 100, where Loss = CP − SP.

Marked Price (MP)

The price displayed on the article. Discount is always calculated on the MP: SP = MP − Discount.

Shortcut Trick

Assume initial Cost Price (CP) = 100 → Initial SP = 160.

New CP (30% increase) = 130.

New SP with 40% profit = 130 × 1.4 = 182.

Increase in SP (y%) = [(182 − 160) ÷ 160] × 100 = (22 ÷ 160) × 100 = 13.75%.

∴ The correct answer is 13.75.

Alternate Method

Given: Initial Profit = 60%, CP increase = 30%, New Profit = 40%.

⇒ Let Initial CP = 100

⇒ Initial SP = CP + 60% of CP = 100 + 60 = 160

⇒ New CP = 100 + 30% of 100 = 130

⇒ New Profit = 40%

⇒ New SP = 130 + 40% of 130 = 130 + 52 = 182

⇒ Percentage increase in SP (y) = [(New SP − Old SP) ÷ Old SP] × 100

⇒ y = [(182 − 160) ÷ 160] × 100

⇒ y = (22 ÷ 160) × 100 = 13.75

∴ The correct answer is 13.75.

Additional Information

Profit Percentage Formula

Profit % = [(SP − CP) ÷ CP] × 100. It is always calculated on the Cost Price unless specified otherwise.

Successive Percentage Change

If a value increases by a% and then by b%, the net change is [a + b + (a × b) ÷ 100] %.

Relation between CP and SP

SP = CP × [(100 + Profit %) ÷ 100] or SP = CP × [(100 − Loss %) ÷ 100].

Shortcut Trick

Assume initial Income = 100, then Expenditure = 50 and Saving = 50.

Net change: Total increase in Income = 40% of 100 = 40 units.

Increase in Saving = 20% of 50 = 10 units.

Required increase in Expenditure = 40 − 10 = 30 units.

% Increase in Expenditure = (30 ÷ 50) × 100 = 60 percent.

∴ The correct answer is 60 percent.

Alternate Method

Given:

Initial Expenditure = 50% of Income

Increase in Income = 40%

Increase in Saving = 20%

Formula Used:

Income = Expenditure + Saving

Percentage Increase = [(New Value − Old Value) ÷ Old Value] × 100

⇒ Let original Income = 100 units

⇒ Original Expenditure = 50% of 100 = 50 units

⇒ Original Saving = 100 − 50 = 50 units

⇒ New Income = 100 × (1 + 40 ÷ 100) = 140 units

⇒ New Saving = 50 × (1 + 20 ÷ 100) = 60 units

⇒ New Expenditure = 140 − 60 = 80 units

⇒ Change in Expenditure = 80 − 50 = 30 units

⇒ Percentage increase in Expenditure = (30 ÷ 50) × 100 = 60%

∴ The correct answer is 60 percent.

Additional Information

Income Balance Equation

Total Income is always the sum of Expenditure and Savings. Any change in total income must be balanced by the sum of changes in its components: ΔIncome = ΔExpenditure + ΔSaving.

Percentage Change Rule

To find the percentage increase, divide the absolute increase by the original base value and multiply by 100: % Increase = (Increase ÷ Original Value) × 100.

Weighted Average Application

Income % change can also be viewed as a weighted average of Expenditure % change and Saving % change based on their initial shares of income.

Shortcut Trick

If 1/3rd of the tank is emptied in 45 min,

The complete tank (1 unit) will be emptied in 45 × 3 min.

Total time = 135 min.

∴ The correct answer is 135 min.

Alternate Method

Given:

Part of tank emptied by the pipe = 1/3

Time taken to empty 1/3 part = 45 min

Calculations:

⇒ Let the total capacity of the tank be 1 unit.

⇒ Time to empty 1/3 unit = 45 min

⇒ Time to empty 1 unit = 45 ÷ (1/3)

⇒ Time to empty 1 unit = 45 × 3

⇒ Total time = 135 min

∴ The correct answer is 135 min.

Additional Information

Unitary Method in Time and Work

If a part 'x' of a task is completed in time 'T', then the total time to complete the entire task is T ÷ x.

Efficiency of a Pipe

The efficiency of an emptying pipe is usually taken as negative in combined work problems. Efficiency = Work done ÷ Time taken.

Fractional Work Rule

If a pipe empties the tank in 'H' hours, then the part emptied in 1 minute is 1 ÷ (60 × H).

Shortcut Trick

Work rate of 12 men = 12 ÷ (6 × 18) = 12 ÷ 108 = 1/9

Work rate of 16 women = 16 ÷ (8 × 12) = 16 ÷ 96 = 1/6

Work rate of 10 boys = 10 ÷ (5 × 20) = 10 ÷ 100 = 1/10

Combined efficiency = 1/9 + 1/6 + 1/10 = (20 + 30 + 18) ÷ 180 = 68/180 = 17/45

Required time = Inverse of efficiency = 45/17 days.

∴ The correct answer is 45/17 days.

Alternate Method

Given:

6 men = 18 days, 8 women = 12 days, 5 boys = 20 days.

Formula Used:

Total Work = Time × Efficiency

Calculations:

⇒ Efficiency of 1 man = 10 ÷ 6 = 5/3 units/day

⇒ Efficiency of 1 woman = 15 ÷ 8 units/day

⇒ Efficiency of 1 boy = 9 ÷ 5 units/day

⇒ Efficiency of (12 men + 16 women + 10 boys) = 12 × (5/3) + 16 × (15/8) + 10 × (9/5)

⇒ Total combined efficiency = 20 + 30 + 18 = 68 units/day

⇒ Time required = Total Work ÷ Total Efficiency = 180 ÷ 68 = 45/17 days

∴ The correct answer is 45/17 days.

Additional Information

Efficiency and Time Relation

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

Work Equivalence Formula

M₁D₁E₁ = M₂D₂E₂, where M is the number of people, D is days, and E is individual efficiency.

Total Work Calculation

Total work is usually considered as the Least Common Multiple (LCM) of the time taken by different groups to simplify efficiency calculations.

Shortcut Trick

For trains crossing each other in opposite direction, the Relative Speed is the sum of their individual speeds.

Total distance to be covered = Sum of lengths of both trains = 600 m.

Relative Speed = 40 m/s (given as total speed).

Time = Distance ÷ Speed = 600 ÷ 40 = 15 sec.

∴ The correct answer is 15 sec.

Alternate Method

Given:

Total length of Train A and Train B (L_A + L_B) = 600 m

Total speed (Relative Speed in opposite direction) = 40 m/s

Formula Used:

Time = (Sum of Lengths of Trains) ÷ (Relative Speed)

Calculations:

⇒ Total Distance = 600 m

⇒ Relative Speed = 40 m/s

⇒ Time = 600 ÷ 40

⇒ Time = 15 sec

∴ The correct answer is 15 sec.

Additional Information

Relative Speed Concepts

When two objects move in opposite directions, relative speed = S₁ + S₂. When they move in the same direction, relative speed = |S₁ − S₂|.

Crossing Conditions

To cross a stationary pole or man, distance = Length of Train. To cross a platform or another train, distance = Length of Train + Length of Object.

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 two objects start at the same time and move towards each other, the time (t) taken to meet is constant for both.

Since Distance = Speed × Time, when time is constant, Distance ∝ Speed.

∴ Ratio of distances covered by A and B = Ratio of their speeds = 50 : 30.

Simplified Ratio = 5 : 3.

∴ The correct answer is 5 : 3.

Alternate Method

Given: Speed of A = 50 km/hr, Speed of B = 30 km/hr. Both start simultaneously.

Formula Used: Distance = Speed × Time

⇒ Let the time taken by both A and B to meet at point S be t hours.

⇒ Distance covered by A to reach S = PS = Speed_A × t = 50t

⇒ Distance covered by B to reach S = QS = Speed_B × t = 30t

⇒ Ratio of distances covered = PS : QS

⇒ Ratio = 50t : 30t

⇒ Ratio = 50 : 30 = 5 : 3

∴ The correct answer is 5 : 3.

Additional Information

Relative Speed in Opposite Direction

When two objects move towards each other, their Relative Speed is the sum of their individual speeds (S₁ + S₂).

Constant Distance Relation

If the distance is constant, the ratio of speeds is inversely proportional to the ratio of time taken (S₁/S₂ = T₂/T₁).

Meeting Time Formula

Time taken to meet = Total Distance ÷ Relative Speed. This applies when both start at the same time.

The correct answer is Option(2) i.e. 'To cause one to become unsure, confused, or perplexed about the best course of action'.

Key Points

• The idiom 'Throw one into a quandary' refers to a situation where someone is placed in a state of perplexity, uncertainty, or a difficult dilemma where the best course of action is not clear. (असमंजस या दुविधा में डालना)
• Example: The sudden resignation of the CEO threw the entire board into a quandary regarding the future of the company.
• To 'cause one to become unsure, confused, or perplexed' means to create a state of mental uncertainty or bewilderment, making it difficult for a person to decide what to do next. (किसी को भ्रमित या अनिश्चित करना)
• Example: The complex and contradictory technical requirements caused the engineers to become perplexed during the planning phase.
• Hence, the meaning of the idiom aligns perfectly with the description of being confused or unsure about a course of action.

Therefore, the correct answer is- To cause one to become unsure, confused, or perplexed about the best course of action.

Additional Information

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

• To plead with someone (दया की याचना करना या विनती करना): To beg or request someone, especially an authority figure, for mercy or leniency.
• Example: The student had to plead with the professor for an extension on his final project.
• To shock, surprise, astonish, or bewilder one (स्तब्ध या चकित कर देना): To cause a sudden feeling of intense surprise or disbelief.
• Example: The magician's final trick astonished the entire audience.
• To put one in the position to be the recipient of blame (किसी पर दोष मढ़ना या बलि का बकरा बनाना): To make someone else responsible for a mistake or criticism, often to protect oneself.
• Example: He tried to put his teammate in the position to be the recipient of blame for the loss, even though it was his own error.

The correct answer is: By an extremely slim or narrow margin.

Key Points

• The idiom 'By a short head' refers to winning or succeeding by a very small distance or margin, originally derived from horse racing where a winner might only be ahead by the length of its head. (बहुत कम अंतर से)
• Example: The incumbent mayor won the re-election by a short head after a very competitive campaign.
• 'By an extremely slim or narrow margin' means a situation where the difference between two outcomes is very tiny or minimal. (बहुत ही मामूली अंतर से)
• Example: The bill was passed in the parliament by an extremely slim margin of only three votes.
• Hence, we can infer that the meaning of the idiom 'By a short head' is to win or lose by a very small amount.

Therefore, the correct answer is- By an extremely slim or narrow margin.

Additional Information

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

• To lack enough people (कर्मियों की कमी होना): This is often described by the idiom 'short-handed', meaning not having enough staff or help.
• Example: The kitchen was short-handed on Saturday night, so the service was slower than usual.
• A hangover (खुमारी): The unpleasant physical and mental effects experienced after drinking too much alcohol.
• Example: He spent the entire Sunday in bed trying to recover from a terrible hangover.
• By a particular amount (एक विशेष मात्रा या अंतर से): Referring to a specific numerical value or score that separates two entities in a competition.
• Example: They trailed the leaders by a particular amount of points that made a comeback nearly impossible.

The correct answer is: Egregious.

Key Points

• The word 'Egregious' is an adjective that refers to something that is outstandingly bad or shocking. (बहुत बुरा/भीषण)
• Example: The auditor found egregious errors in the company's financial statements.
• Among the provided options, 'Egregious' is the only word that is spelled correctly.
• The other words are misspelled versions of 'Exemplary', 'Effervescent', and 'Emanate'.

Therefore, the correct answer is: Egregious.

Additional Information

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

• Exemplary (प्रशंसनीय/अनुकरणीय): Serving as a desirable model; representing the best of its kind. (Misspelled as 'Exemplery')
• Example: His exemplary courage during the rescue operation was rewarded by the President.
• Effervescent (उत्साही/बुलबुलेदार): Vivacious and enthusiastic; or (of a liquid) giving off bubbles. (Misspelled as 'Effervesent')
• Example: She has an effervescent personality that makes everyone around her feel happy.
• Emanate (उत्पन्न होना/निकलना): To issue or spread out from a source. (Misspelled as 'Emmanate')
• Example: A strange light began to emanate from the abandoned building at night.

The correct answer is: Triumph.

Key Points

• The word 'victory' refers to an act of defeating an enemy or opponent in a battle, game, or other competition; it is the state of having won. (जीत)
• Example: The players celebrated their hard-earned victory after the final whistle blew.
• 'Triumph' refers to a great victory or a highly noteworthy achievement; it is the most suitable synonym as it conveys a similar sense of success and winning. (विजय)
• Example: The return of the astronauts was a great triumph for the entire space program.
• Hence, we can infer that the closest synonym of 'victory' is 'triumph'.

Therefore, the correct answer is: Triumph.

Additional Information

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

• Defeat (हार): An instance of losing to an opponent in a contest or battle.
• Example: Despite their best efforts, the team suffered a narrow defeat in the semifinals.
• Loss (हानि): The fact or process of losing something or someone, or the failure to keep something.
• Example: The company reported a heavy financial loss during the last quarter.
• Failure (असफलता): Lack of success in doing or achieving something.
• Example: He did not let one failure stop him from trying again.

The correct answer is: Criticism.

Key Points

• The misspelled word in the options is 'Critiscism', which does not have any standard English meaning because it is spelled incorrectly. (अशुद्ध वर्तनी)
• Example: The essay was marked down because it contained spelling errors like 'critiscism'.
• 'Criticism' is the correct spelling, which means the expression of disapproval of someone or something based on perceived faults or mistakes. (आलोचना)
• Example: The plans met with severe criticism from local conservationists.
• Hence, we can infer that the misspelt word is 'Criticism'.

Therefore, the correct answer is: Criticism.

Additional Information

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

• Optimism (आशावाद): Hopefulness and confidence about the future or the success of something.
• Example: The talk ended on a note of optimism.
• Pessimism (निराशावाद): A tendency to see the worst aspect of things or believe that the worst will happen.
• Example: There is a mood of pessimism about the economy.
• Egotism (अहंकार): The practice of talking and thinking about oneself excessively because of an undue sense of self-importance.
• Example: His egotism was extremely annoying to his colleagues.

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

Key Points

• The word 'embarrassed' refers to the state of feeling self-conscious, ashamed, or awkward in a particular situation, often due to an error or social discomfort. (शर्मिंदा )
• Example: He felt embarrassed when he realized he had been talking to himself while others were watching.
• 'Confident' refers to a state of being self-assured, having a strong belief in one's own abilities or qualities, and lacking social anxiety or shame. (आत्मविश्वासी )
• Example: She gave a confident speech that won the hearts of the entire audience.
• Hence, we can infer that the opposite of 'embarrassed' is 'confident'.

Therefore, the correct answer is- confident.

Additional Information

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

• Ashamed (लज्जित): Feeling shame, guilt, or embarrassment about something one has done.
• Example: He felt ashamed of his rude behavior toward the guests.
• Humiliated (अपमानित): Feeling extremely foolish or ashamed, especially when one's dignity is hurt in front of others.
• Example: The player felt humiliated after losing the match so badly.
• Self-conscious (संकोची): Feeling nervous or uncomfortable because you are worried about what people think of you.
• Example: She felt self-conscious about her new haircut.

The correct answer is: Eccentric.

Key Points

• The phrase 'A person who behaves in an unconventional manner' refers to someone whose actions, habits, or ideas are unusual and deviate from traditional social norms. (एक व्यक्ति जो अपरंपरागत तरीके से व्यवहार करता है)
• Example: Being a person who behaves in an unconventional manner, he decided to travel the world on a unicycle.
• 'Eccentric' describes a person who has strange or unusual habits or beliefs, often in a way that is interesting or slightly amusing. (विलक्षण/सनकी)
• Example: The eccentric billionaire preferred living in a small cabin in the woods rather than a luxury mansion.
• Hence, we can infer that the one-word substitution for the given phrase is 'Eccentric'.

Therefore, the correct answer is- Eccentric.

Additional Information

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

• Reticent (अल्पभाषी): Not revealing one's thoughts or feelings readily; reserved.
• Example: He is very reticent about his past achievements and rarely talks about them.
• Egotist (अहंवादी): A person who is excessively conceited or self-absorbed.
• Example: It is hard to have a conversation with an egotist because they always steer the topic back to themselves.
• Stickler (सिद्धांतवादी/अड़ियल): A person who insists on a certain quality or type of behavior, especially discipline or punctuality.
• Example: Our manager is a stickler for deadlines and expects every report to be submitted on time.

The correct answer is Will the whole team be invited to the party by the sponsors?.

Key Points

• The given sentence is an interrogative sentence written in the Future Indefinite Tense (Active Voice). It denotes an inquiry about a future action.
• The structure for an interrogative sentence in the Active Voice (Simple Future) is: Will/Shall + Subject + Root Form of Verb (V1) + Object? In the prompt, the sponsors is the subject and the whole team is the object.
• To convert such a sentence into Passive Voice, the structure must change to: Will/Shall + Object (New Subject) + be + Past Participle (V3) + by + Subject (New Object)?
• Following this rule, the object 'the whole team' is moved to the position of the subject. The auxiliary verb 'be' is added before the past participle form of the verb 'invite', which is invited.
• The original subject 'the sponsors' is placed at the end of the clause, preceded by the preposition by to indicate the agent of the action.

 Additional Information

• Rules of Passive Transformation:
• For Future Indefinite sentences, the addition of the word be is mandatory to support the third form of the verb.
• The tense of the sentence must remain consistent during the transformation; only the focus shifts from the doer to the receiver of the action.
• If the sentence were a declarative statement (e.g., 'The sponsors will invite...'), the passive would be 'The whole team will be invited...'.
• Evaluation of Incorrect Options:
• Option 1 is incorrect because it uses the first form of the verb 'invite' and completely omits the required auxiliary be.
• Option 2 is incorrect because it maintains the Active Voice structure while simply swapping the positions of the subject and object, which fundamentally alters the intended meaning.
• Option 3 is incorrect as it uses been. This auxiliary is exclusively used for Perfect Tenses (like Future Perfect: 'will have been invited') and is not used in Simple Future passive structures.

The correct answer is War veterans were being felicitated at the event.

Key Points

• The given sentence is in the Active Voice and follows the Past Continuous Tense structure: Subject + was/were + Verb-ing + Object.
• To convert a Past Continuous sentence into Passive Voice, the following rule is applied: New Subject (Object of Active) + was/were + being + V3 (Past Participle) + by + New Object (Subject of Active).
• In the original sentence, They is the subject, were felicitating is the verb, and war veterans is the object.
• When transformed, war veterans becomes the new subject. Since it is plural, the auxiliary verb were is used, followed by being and the third form of the verb felicitated.
• The phrase at the event remains as an adverbial adjunct at the end of the sentence.

 Additional Information

• Understanding why other options are grammatically unsuitable for this transformation:
• Simple Past Passive: Option 1 uses were felicitated, which is the structure for the Simple Past Tense in passive voice (S + was/were + V3). It fails to convey the continuous nature of the original action.
• Present Continuous Passive: Option 2 uses are being felicitated, which changes the tense from Past to Present, thereby altering the temporal context of the original statement.
• Meaning Discrepancy: Option 3 suggests that the war veterans themselves were performing the action of felicitating others, which changes the intended meaning of the active sentence entirely.

The correct answer is Option 1.

 

Key Points

• The error lies in the first part of the sentence: Nirmala has a passion in writing.
• The noun passion is typically followed by the preposition for when referring to a strong liking or enthusiasm for a particular activity or subject.
• Therefore, the phrase passion in writing is grammatically incorrect and should be replaced with passion for writing.
• Using the correct prepositional idiom is essential for clarity and standard grammatical usage in English.

Therefore, the correct answer is 1.

 

Correct Sentence: 'Nirmala has a passion for writing one-act plays based on realities, and she is really adept at it.'

 

Additional Information

• one-act plays based on realities – This part is correct. One-act is a compound adjective modifying the noun plays, and based on is the correct phrasal verb.
• and she is really – This part is a simple conjunction and adverbial phrase that is grammatically sound.
• adept at it – This part is correct. The adjective adept (meaning very skilled or proficient) is correctly followed by the preposition at.

The correct answer is 'In spite of'.

 

Key Points

• The prepositional phrase 'In spite of' is used to express contrast between two ideas.
• It means 'notwithstanding' or 'despite'. It is used to show that something happened although something else might have prevented it.
• In the given sentence, there is a contrast: the subject was in great trouble (a negative situation), yet he helped (a positive action).
• The phrase is correctly followed by the gerund (being).

Therefore, the correct answer is Option 3.

 

Complete Sentence: 'In spite of being in great trouble, he came forward to help me in my need.'

 

Additional Information

• Option 1: Due to is used to indicate a reason or cause.
• Option 2: According to is used to report what someone else has said or what a source indicates.
• Option 4: Owing to is similar to 'due to' and is used to explain the reason for something.

The correct answer is Option 2.

 

Key Points

• The sentence follows the sequence of tenses rule. Since the main verb assured is in the past tense, the subordinate clause must use the past form of the modal, which is would.
• The primary improvement required is the placement of the adverb. In English grammar, adverbs like soon are typically placed after the first auxiliary verb. Therefore, would soon be is more natural and grammatically standard than would be soon.
• The passive voice construction overcome by is correct here as it indicates the agent or means (the efforts of the administration) responsible for the action.
• Thus, the phrase would soon be overcome by is the most grammatically accurate replacement.

Therefore, the correct answer is Option 2.

 

Correct Sentence: 'The governor assured the media that the crisis was under control and would soon be overcome by the efforts of the administration.'

 

Additional Information

• Option 1: Uses will, which violates the sequence of tenses (past 'assured' requires 'would'), and the preposition for is contextually incorrect.
• Option 3: Uses was, which changes the meaning from a future assurance to a completed past action, and due to is less precise than by in this passive structure.
• Option 4: Is incorrect because the adverb placement in the original sentence is awkward and can be improved for better flow.

The correct answer is Option 2.

Key Points

• The paragraph begins with a fixed sentence S1 that describes a notion or a fixation that has taken hold of a character.
• Sentence D is the first sentence to follow because it explains the nature of this notion, clarifying how the character uses names from a newspaper to create imaginary connections:
• 'He cannot draw close to people near at hand so he gets hold of a name out of a newspaper and his mind plays with it.'
• Sentence C follows as it provides the first specific instance of this behavior, introduced by the chronological marker One morning:
• 'One morning he told me he was a cousin to the man named Cox who at the time when I write is a candidate for the presidency.'
• Sentence B is the third sentence as it presents a second example of his fabrications, using the transition On another morning:
• 'On another morning he told me that Caruso the singer had married a woman who was his sister-in-law.'
• Sentence A follows B directly, providing the character's direct speech that clarifies the sister-in-law relationship mentioned previously:
• ''She is my wife's sister,' he said, holding the little dog closely.'
• The sequence ends with the fixed sentence S2, which describes the character's expression (grey watery eyes) after making these claims.
• The correct sequence is DCBA.

Coherent paragraph after rearrangement:

'The notion has possession of him. He cannot draw close to people near at hand so he gets hold of a name out of a newspaper and his mind plays with it. One morning he told me he was a cousin to the man named Cox who at the time when I write is a candidate for the presidency. On another morning he told me that Caruso the singer had married a woman who was his sister-in-law. 'She is my wife's sister,' he said, holding the little dog closely. His grey watery eyes looked appealingly up to me.'

The correct answer is Option 1.

Key Points

• The paragraph describes an emotional scene witnessed by a character named Ellerbee, focusing on various reunions and the profound impact they have.
• Sentence D is the first sentence following S1 as it specifies the affecting sight mentioned:
• 'Nearby, husbands were reunited with wives, mothers with their small babes, daddies with their sons, brothers with sisters - all the intricate blood loyalties and enlisted loves.'
• Sentence C follows as it explains how Ellerbee was able to recognize these connections through his heightened perception:
• 'He understood all the relationships without being told - his heightened perception.'
• Sentence A is the third sentence because it uses the word however to pivot from the general reunions to a specific group that was even most moving:
• 'What was most moving, however, were the old people, related or not, some just lifelong friends, people who had lived together or known one another much the greater part of their lives and then had lost each other.'
• Sentence B is the fourth as it provides a detailed and emotional description of the old people introduced in the previous sentence:
• 'It was immensely touching to Ellerbee to see them gaze fondly into one another's eyes and then to watch them reach out and touch the patient, ancient faces, wrinkled and even withered but, Ellerbee could tell, unchanged in the loving eyes of the adoring beholder.'
• The sequence concludes with S2, which describes the tears of joy and tender laughter that resulted from these reunions.
• The correct sequence is DCAB.

Coherent paragraph after rearrangement:

'Then Ellerbee saw an affecting sight. Nearby, husbands were reunited with wives, mothers with their small babes, daddies with their sons, brothers with sisters - all the intricate blood loyalties and enlisted loves. He understood all the relationships without being told - his heightened perception. What was most moving, however, were the old people, related or not, some just lifelong friends, people who had lived together or known one another much the greater part of their lives and then had lost each other. It was immensely touching to Ellerbee to see them gaze fondly into one another's eyes and then to watch them reach out and touch the patient, ancient faces, wrinkled and even withered but, Ellerbee could tell, unchanged in the loving eyes of the adoring beholder. If there were tears they were tears of joy, tears that melded inextricably with tender laughter.'

The correct answer is a once-in-a-lifetime.

Key Points

• The phrase once-in-a-lifetime is a standard idiomatic expression and a compound adjective used to describe an event that is exceptionally rare, unique, or likely to happen only once.
• In the original sentence, the phrase once-in-the-lifetime is used. This is grammatically incorrect because the standard idiom requires the indefinite article (a) within the hyphenated structure to denote any single lifetime, rather than the definite article (the).
• Linguistically, the word once begins with the vowel letter o, but it is phonetically pronounced starting with the consonant sound w (/wʌns/).
• According to English grammar rules, the article a is used before words that begin with a consonant sound, while an is reserved for words beginning with a vowel sound. Therefore, a once-in-a-lifetime is the only phonetically and idiomatically correct choice.

 Additional Information

• Phonetic Article Selection:
• The choice between a and an depends on the initial sound of the next word.
• Words starting with vowel letters but consonant sounds include a university (/juː/) and a one-way street (/wʌn/).
• Words starting with consonant letters but vowel sounds include an hour (/aʊər/) and an honor (/ɒn.ər/).
• Hyphenation Rules for Compound Adjectives:
• A compound adjective (like once-in-a-lifetime) is a group of words that functions as a single unit to modify a noun (opportunity).
• These are hyphenated when they precede the noun they modify to prevent ambiguity and help the reader identify the group as a single descriptive unit.
• If the adjective follows the noun (e.g., The opportunity was once in a lifetime), the hyphens are usually omitted.

The correct answer is Option 1.

 

Key Points

• According to the passage, India's Act East Policy is centered on fostering cultural ties and enhancing economic cooperation.
• The policy aims to pave the way for regional integration and prosperity by developing strategic relationships with Asia-Pacific countries.
• It encompasses a wide range of collaborative efforts, including space, science and technology, and people-to-people exchange, rather than just focusing on a single sector.
• Therefore, the primary objective is to develop both cultural and economic connections across the broader Asia-Pacific region.

Therefore, the correct answer is 1.

 

Additional Information

• Option 2: This is incorrect because the policy is comprehensive and not limited only to trade agreements; it also includes strategic, cultural, and technological cooperation.
• Option 3: The passage does not suggest limiting India's presence in the West; instead, it focuses on the proactive engagement and growth within the East and Asia-Pacific.
• Option 4: While the North-East region is described as a gateway and a corridor for growth, the main aim of the policy is the larger regional integration with the Asia-Pacific, not just domestic tourism.

The correct answer is Option 1.

 

Key Points

• According to the passage, the North-East region serves as a gateway to South-East Asia.
• It is described as an extended corridor for growth, progress, and prosperity within India.
• The region, particularly Manipur, is a physical and strategic partner that enhances connectivity by land, air, and sea.
• The transformation of these corridors of connectivity into corridors of economic cooperation is fundamental to the Act East Policy.

Therefore, the correct answer is Option 1.

 

Additional Information

• Option 2: The passage focuses on regional integration and connectivity rather than specific cutting-edge tech centers in the North-East.
• Option 3: While the policy aims to strengthen Buddhist and Hindu links to foster connections, the primary importance of the North-East geography is its role as a connectivity gateway.
• Option 4: The policy emphasizes economic cooperation, people-to-people exchange, and growth, making the description of it as purely a military base incorrect.