SSC GD Constable 2026 Official Paper (Held On 20 May, 2026 Shift 2) (Previous Year Paper)

Logic followed here is:

Logic: Every term in the series is obtained by subtracting 5 from the previous term.

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According to the subtraction pattern, the next term after 347 should be 342. However, the given series contains 339 at that position.

Thus, 339 is the wrong term in the series.

Hence, the correct answer is "Option 3".

The logic followed here is:

Logic: The difference between consecutive terms in the series increases by 1 for each subsequent term.

The missing term is 230, which follows the pattern of adding consecutive natural numbers starting from 8.

Hence, the correct answer is "Option 1".

Logic followed here is:

Logic: The series consists of two separate patterns for the first and second letters of each pair, where each letter increments by a specific constant value.

Hence, the correct answer is "Option 3".

The logic followed here is:

The series consists of pairs of letters where each letter follows a specific positional increment to determine the next term in the sequence.

Therefore, the missing term is HN.

Hence, the correct answer is "Option 1".

The logic followed in this pattern is a combination of alphabetical shifts where the positional values of the letters in each cluster are decreased by a fixed number.

For the set '(VD, SX, PR)':

For the set '(MW, JQ, GK)':

Applying the same logic to the set '(AU, XO, UI)':

Thus, (AU, XO, UI) follows the same logic as the given sets.

Hence, the correct answer is 'Option 2'.

The logic followed in these sets is based on a consistent alphabetical shift applied to the first and second letters of the clusters within each set.

For the set '(UI, SC, QW)':

For the set '(BL, ZF, XZ)':

Applying the same logic to the options, we test '(KE, IY, GS)':

Thus, the letter clusters (KE, IY, GS) follow the same logic of subtraction by 2 for the first letter and 6 for the second letter.

Hence, the correct answer is 'Option 4'.

The logic followed here is:

Logic: The series is formed by subtracting consecutive even numbers starting from 16 from each preceding term to get the next term.

By following the pattern, the missing number is 785.

Hence, the correct answer is "Option 2".

Logic followed here is the linear arrangement of people in a row facing North based on the given directions.

Step-by-step explanation:

1. A is sitting fourth to the right of C: In a row of 5 persons, this is only possible if C is at the 1st position (left end) and A is at the 5th position (right end).

2. B is sitting second to the right of C: This means B occupies the 3rd position from the left (1 + 2 = 3).

3. D is sitting to the immediate left of B: Since B is at the 3rd position, the position to its immediate left is the 2nd position, which is occupied by D.

4. E is the remaining person: The only available spot left is the 4th position, which must be occupied by E.

Final Seating Arrangement:

From the final arrangement, we can see that the persons sitting to the left of E (at the 4th position) are C, D, and B.

Total number of persons to the left of E = 3

Hence, the correct answer is "Option 2".

Given:

• C has the least marks.
• A has more marks than only D and C.
• B has more marks than F but less than E.
• No two boys have the same marks.

Vertical arrangement:

Explanation:

Since C has the least marks, C is placed at the bottom.

A has more marks than only D and C, so the order is A > D > C.

B has more marks than F but less than E, so the order is E > B > F.

Combining both groups gives:

E > B > F > A > D > C

Boys having less marks than E are:

B, F, A, D, C = 5 boys.

Hence, the correct answer is "Option 1 (5)".

Given:

KT222 : QH336 → 

SU302 : RP416 →

ZW432 : ? →

Hence, the cluster formed is TW546.

Hence, the correct answer is 'Option 1'.

Given:

ZKX102 : UHW204 :: XYR126 : ? :: LST305 : QPI610

For cluster ZKX102 : UHW204:

For cluster LST305 : QPI610:

Similarly, for cluster XYR126 : ? 

The cluster formed is OVU252.

Hence, the correct answer is 'Option 3'.

The logic followed here is:

Logic: Second Number = First Number + 45

For the first pair 2793 : 2838

⇒ 2793 + 45 = 2838.

For the third pair 8180 : 8225

⇒ 8180 + 45 = 8225.

Applying the same logic to the second pair

6270 : ?

⇒ 6270 + 45 = 6315.

Hence, the correct answer is 'Option 3'.

The logic followed here is:

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

For the first pair 479 : 960

⇒ (479 + 1) × 2

⇒ 480 × 2 = 960.

For the second pair 25 : 52

⇒ (25 + 1) × 2

⇒ 26 × 2 = 52.

Applying the same logic to the third pair

? : 728

⇒ (First Number + 1) × 2 = 728

⇒ First Number + 1 = 728 ÷ 2 = 364

⇒ First Number = 364 − 1 = 363.

Hence, the correct answer is 'Option 1'.

The logic followed in the given series is based on the alphabetical order of letters and numerical multiplication.

.

The missing term in the series is VF1600.

Hence, the correct answer is "Option 3".

The logic followed for the series is based on the positional values of the letters and a specific mathematical operation for the numbers.

As shown above, the term DHD88 does not follow the established logic for the third letter or the number sequence.

Hence, the correct answer is option 2.

Concept:

The angle between the hour hand and the minute hand of a clock at any given time can be calculated using the formula:

Angle (θ) = |30H − (11/2)M|

Where:

H = the value of the hour (between 1 and 12).

M = the value of the minutes (between 0 and 59).

Calculation:

Given the time is between 6 AM and 7 AM, we take H = 6.

The required angle between the hands is 30°.

Substitute these values into the formula:

30 = |30 × 6 − (11/2)M|

30 = |180 − 5.5M|

This equation gives two possible cases:

Case 1: When the minute hand is behind the hour hand

180 − 5.5M = 30

5.5M = 180 − 30

5.5M = 150

M = 150/5.5 ≈ 27.27 minutes

This corresponds to approximately 6:27 AM.

Case 2: When the minute hand has crossed the hour hand

5.5M − 180 = 30

5.5M = 180 + 30

5.5M = 210

M = 210/5.5 = 420/11 ≈ 38.18 minutes

This corresponds to approximately 6:38 AM.

Comparing the results with the given options, the time 6:38 AM is listed as an option.

Hence, the correct answer is 6:38.

Concept:

The time interval from 8 AM to 8 PM on the same day is 12 hours.

Total time in minutes = 12 × 60 = 720 minutes.

Calculation:

Given that the clock gains 2 seconds in every 6 minutes.

Rate of gain = 2 ÷ 6 = 1/3 seconds per minute.

Total gain in 720 minutes = 720 × 1/3 = 240 seconds.

Converting the total gain into minutes: 240 ÷ 60 = 4 minutes.

Now, the actual time is 8 PM.

Time shown by the clock = Actual time + Total gain

Time shown = 8:00:00 + 4 minutes = 8:04:00.

Hence, the correct answer is 8:04:00.

Alternate Method

Clock gain in 1 hour (60 minutes):

6 minutes = 2 seconds

60 minutes = (2 ÷ 6) × 60 = 20 seconds.

Total gain in 12 hours = 12 × 20 = 240 seconds.

Total gain in minutes = 240 ÷ 60 = 4 minutes.

Therefore, the time the clock will show at 8 PM is 8:04:00.

The logic followed here is: The arrow and the box both are rotating in clockwise direction by 45°.

Hence, 'Option 3' is the correct answer.

The logic followed here is: The object inside the the box is rotating 45° in clockwise direction

Hence, the correct answer is "Option 1".

The logic followed here is: The objects are moving in clockwise direction.

Hence, the correct answer is "Option 2".

The correct answer is 97th Amendment.

Key Points

• The 97th Constitutional Amendment Act of 2011 was enacted to provide constitutional status and protection to cooperative societies in India, coming into effect on February 15, 2012.
• It introduced Article 19(1)(c) in the Fundamental Rights section (Part III), which explicitly grants citizens the right to form cooperative societies.
• The amendment inserted Article 43B into the Directive Principles of State Policy (Part IV), directing the State to promote the voluntary formation, autonomous functioning, democratic control, and professional management of cooperative societies.
• It added a new Part IXB to the Constitution, titled The Co-operative Societies, spanning Articles 243ZH to 243ZT, which regulates the incorporation, number and term of members of the board, and the auditing of accounts.
• The primary objective was to ensure that cooperatives across the country operate in a professional and democratic manner, reducing political interference and improving economic efficiency for farmers and small-scale producers.

 Additional Information

• 73rd Amendment Act, 1992:
• Granted constitutional status to Panchayati Raj Institutions by adding Part IX and the Eleventh Schedule to the Constitution.
• 86th Amendment Act, 2002:
• Inserted Article 21A, making the Right to Education a fundamental right for children between the ages of 6 and 14 years.
• 91st Amendment Act, 2003:
• Limited the size of the Council of Ministers to 15 percent of the total strength of the Lok Sabha or State Legislative Assembly and strengthened Anti-Defection laws.
• Ministry of Cooperation:
• In July 2021, the Union Government created this ministry to provide a separate administrative, legal, and policy framework for strengthening the cooperative movement under the vision of Sahkar se Samriddhi.

The correct answer is Dhol.

Key Points

• Giddha is a popular folk dance of women in the Punjab region of India and Pakistan, traditionally performed during social gatherings and festivals like Teeyan and Baisakhi.
• The Dhol, a large double-sided barrel drum, is the primary musical instrument that provides the rhythmic foundation for the dance. While Bhangra (the male counterpart) uses a larger version, Giddha performances often feature the Dhol or its smaller variant, the Dholki.
• The instrument is typically constructed from a wooden barrel (often Mango or Sheesham wood) with animal hide stretched over both ends, played using wooden sticks or hands to produce deep bass and sharp treble sounds.
• The rhythm of the Dhol complements the Boliyan (folk singing), where the beat accelerates during the clapping sequences, which is a signature element of the Giddha performance.
• In a traditional setup, the woman playing the Dhol sits in the center of a circle formed by other dancers, who move in rhythmic patterns mimicking daily village chores like churning milk or spinning yarn.

 Additional Information

• Tabla
• A set of two small drums used predominantly in Hindustani classical music and Sufi devotional songs.
• It consists of the Dayan (treble) and Bayan (bass) and is known for its complex finger-tapping techniques rather than the loud, rustic beats required for folk dances.
• Harmonium
• A keyboard-based reed instrument that produces sound by blowing air through bellows; it is a staple in Ghazals, Qawwalis, and Kirtans.
• While it provides melodic support in various Punjabi folk genres, it is not the lead rhythmic instrument for Giddha.
• Sarangi
• A short-necked, bowed string instrument made of wood with a skin-covered soundbox, often used to accompany vocalists in classical and folk ballads.
• It is revered for its ability to mimic the nuances of the human voice but is rarely used in the high-energy percussion-centric environment of Giddha.

The correct answer is Northern Plains.

Key Points

• The Northern Plains of India are formed by the massive depositional work of three major river systems: the Indus, the Ganga, and the Brahmaputra, along with their numerous tributaries.
• This physiographic division covers an area of approximately 7 lakh square kilometers, extending about 2,400 kilometers in length and 240 to 320 kilometers in width.
• The region is characterized by a deep cover of alluvial soil, which has been deposited over millions of years in a vast basin situated at the foothills of the Himalayas.
• The alluvium is extremely fertile and rich in minerals, which, combined with a perennial water supply and a favorable climate, makes this area the most agriculturally productive part of the country, often referred to as the granary of India.
• Due to its high agricultural output and the flat nature of the terrain, which facilitates easy transportation and urbanization, the Northern Plains have the highest population density among all physiographic divisions in India.
• The plains are further categorized into the Bhabar, Terai, Bhangar, and Khadar regions based on the variations in relief and the nature of the soil deposits.

 Additional Information

• Peninsular Plateau:
• It is a tableland composed of old crystalline, igneous, and metamorphic rocks, formed due to the breaking and drifting of the Gondwana land.
• This region is known for its black soil (Regur) in the Deccan Trap, which is ideal for cotton cultivation but is not as densely populated as the Northern Plains.
• Coastal Plains:
• These are narrow coastal strips running along the Arabian Sea on the west and the Bay of Bengal on the east.
• The Eastern Coastal Plain features large deltas formed by rivers like the Mahanadi, Godavari, Krishna, and Kaveri, which are fertile but much smaller in scale compared to the Northern Plains.
• Himalayas:
• These are geologically young and structurally fold mountains that stretch across the northern borders of India.
• The rugged terrain, steep slopes, and harsh climatic conditions make it unsuitable for intensive agriculture, resulting in a sparse population density.

The correct answer is J.J. Thomson.

Key Points

• Sir Joseph John Thomson, a British physicist, is credited with the discovery of the electron in 1897 through his series of experiments with cathode ray tubes.
• He observed that cathode rays were deflected by both electric and magnetic fields, suggesting they were composed of negatively charged particles rather than waves.
• By measuring the degree of deflection, Thomson calculated the charge-to-mass ratio (e/m) of these particles and found it to be constant, regardless of the material of the electrodes or the gas in the tube.
• He concluded that these particles, which he initially termed corpuscles, were a fundamental part of all atoms, thereby proving that the atom was divisible.
• Following this discovery, he proposed the Plum Pudding Model of the atom in 1904, where negative electrons were embedded in a uniform sphere of positive charge.
• Thomson was awarded the Nobel Prize in Physics in 1906 for his work on the conduction of electricity by gases and the discovery of the electron.

 Additional Information

• Ernest Rutherford:
• He is known as the father of nuclear physics.
• Conducted the famous Gold Foil Experiment in 1911, which led to the discovery of the atomic nucleus.
• He also discovered the proton and established that most of the atom's mass is concentrated in the center.
• Niels Bohr:
• Developed the Bohr Model of the atom in 1913.
• He proposed that electrons revolve around the nucleus in specific quantized energy levels or shells.
• James Chadwick:
• He discovered the neutron in 1932.
• The neutron is a subatomic particle with no net electric charge, located within the atomic nucleus along with protons.

The correct answer is Chhatrapati Shivaji Maharaj Vastu Sangrahalaya (formerly Prince of Wales Museum), Mumbai.

Key Points

• The Chhatrapati Shivaji Maharaj Vastu Sangrahalaya, situated in Mumbai, stands as a premier example of the Indo-Gothic (also known as Indo-Saracenic) architectural style, which emerged during the British colonial period in the late 19th century.
• The structure was designed by the renowned British architect George Wittet, who won a competition in 1909 to design the building. The foundation stone was laid earlier in 1905 by the Prince of Wales (later King George V).
• This architectural style is a hybrid that blends elements of Victorian Gothic revivalism with Mughal, Maratha, and Jain influences, creating a unique aesthetic suitable for the Indian climate and landscape.
• The building is characterized by a grand white dome inspired by the Gol Gumbaz of Bijapur and the Lodi Gardens in Delhi, while its internal layout and ornamentation reflect traditional Indian craft techniques.
• The construction primarily utilized locally sourced Kurla basalt (grey) and Malad yellow stone (trachyte), giving the facade its distinctive multi-tonal appearance typical of South Mumbai's historic district.

 Additional Information

• Taj Mahal, Agra:
• Commissioned by Emperor Shah Jahan in 1631, it represents the zenith of Mughal Architecture, which is an entirely different style characterized by white marble, pietra dura inlay work, and symmetrical gardens (Charbagh).
• Qutub Minar, Delhi:
• A UNESCO World Heritage Site, it is a masterwork of early Indo-Islamic architecture. Built by Qutb-ud-din Aibak and Iltutmish, it features red sandstone and marble with intricate Kufic inscriptions.
• Red Fort, Delhi:
• A historic citadel built by Shah Jahan in 1639 when he shifted the capital to Shahjahanabad. It is constructed of massive red sandstone walls and represents the late Mughal style rather than the British-led Indo-Gothic style.

The correct answer is 3.

Key Points

• In the traditional Indian sport of Kho-Kho, the game is played between two teams, where one team takes the role of the chasing side and the other acts as the defending side.
• The defenders do not enter the field all at once; instead, they follow a systematic batch system to ensure the game remains continuous and organized.
• At the beginning of a defense turn, exactly 3 defenders enter the court to face the chasing team.
• These three players are referred to as a batch. Once all three players of the initial batch are declared out, the next batch of three defenders must enter the field.
• The entry of the next batch must occur before the next Kho is signaled by the chaser to a sitting teammate, maintaining the rhythm of play.
• This rotation continues until the end of the allotted 9-minute turn for that specific inning.

 Additional Information

• Team Composition and Roles:
• A Kho-Kho team consists of 12 players in total, but only 9 players take the field during a chasing turn (one active chaser and eight sitting chasers).
• The active chaser can only run in one direction between the poles and cannot cross the central lane directly.
• Court Specifications:
• The standard dimensions of a Kho-Kho court for senior men and women are 27 meters in length and 16 meters in width.
• The rectangular field includes two wooden poles fixed at both ends of the central lane.
• Match Format:
• A match consists of two innings. Each inning contains a chasing and a defending turn for both teams, lasting 9 minutes each.
• The Kho-Kho Federation of India (KKFI) is the primary governing body that sets these competitive rules and standards.

The correct answer is Maize (Zea mays).

Key Points

• Maize (Zea mays) is recognized as a dual-purpose crop in India because it is cultivated both for grain (human food) and for its vegetative parts (animal fodder).
• It is popularly known as the Queen of Cereals due to its high genetic yield potential and its versatility in adjusting to different agro-climatic conditions across the country.
• The crop is primarily grown during the Kharif season, but in certain states like Bihar, it is also a major Rabi season crop, highlighting its adaptability.
• Geographically, it requires a temperature range of 21°C to 27°C and performs best in old alluvial soil with proper drainage systems.
• As a fodder crop, maize is highly valued because it is highly palatable, digestible, and can be converted into silage, which serves as a nutritious feed for livestock during lean periods.
• The use of High Yielding Variety (HYV) seeds and improved irrigation has made states like Karnataka, Madhya Pradesh, and Uttar Pradesh leading producers.

 Additional Information

• Nutritional and Industrial Applications:
• Maize contains about 70% starch, making it a critical industrial raw material for producing liquid glucose, dextrin, and corn oil.
• It provides essential nutrients such as Vitamin A, Vitamin E, and minerals like iron and magnesium for human diets.
• Other Crop Contexts:
• Barley (Hordeum vulgare): A Rabi crop mostly used for human food and as a primary ingredient in the malting industry for alcoholic beverages.
• Sugarcane (Saccharum officinarum): A major commercial cash crop used for manufacturing sugar, gur (jaggery), and khandsari; its byproduct, bagasse, is used for fuel and paper.
• Jowar (Sorghum bicolor): A coarse grain millet that is drought-resistant and common in the Deccan Plateau, used as both a staple food and forage.

The correct answer is Only II.

Key Points

• Harichandra, historically known by the title Rohilladhi, is recognized as the progenitor or founder of the Gurjara-Pratihara dynasty during the 6th century AD.
• The early seat of power for this dynasty was established at Mandavyapura, which corresponds to the modern-day Mandore region in the state of Rajasthan. Hence, statement II is correct.
• During the period of the early Pratiharas, the region of Tamil Nadu was governed by southern dynasties such as the Pallavas and the Pandyas, and it never fell under the direct administration of the Gurjara-Pratihara kingdom. Hence, statement I is incorrect.

 Additional Information

• Dynastic Roots and Expansion:
• Harichandra was a Brahmana king who possessed knowledge of the Vedas and Shastras; his lineage from a Kshatriya wife, Bhadra, formed the royal Pratihara line.
• His sons—Bhogabhata, Kakka, Rajjila, and Dadda—were instrumental in conquering Mandavyapura and constructing a defensive fort to consolidate their territory.
• Historical Significance:
• The Gurjara-Pratiharas later became one of the three major powers involved in the Tripartite Struggle for the control of Kannauj in the Indo-Gangetic Plain.
• Under rulers like Nagabhata I, the dynasty played a crucial role in resisting the Arab invasions from Sindh during the 8th century, particularly during the Battle of Rajasthan.
• The Jodhpur and Ghatiyala inscriptions serve as primary epigraphic sources documenting the origins of Harichandra and the early Pratihara genealogy.

The correct answer is Alok Joshi.

Key Points

• In April 2025, the Government of India designated Alok Joshi as the Chairman of the National Security Advisory Board (NSAB), a body responsible for providing multi-disciplinary advice on strategic security issues.
• Alok Joshi is a highly distinguished 1976-batch Indian Police Service (IPS) officer from the Haryana cadre, known for his extensive experience in intelligence and internal security.
• Prior to this appointment, he served as the Chief of the Research and Analysis Wing (R&AW), India's external intelligence agency, from 2012 to 2014, and also held the position of Chairman of the National Technical Research Organisation (NTRO).
• The NSAB functions under the National Security Council (NSC) and consists of experts from outside the government who offer independent perspectives on geopolitical trends, defense technology, and internal security challenges.
• As the head of NSAB, Alok Joshi will lead a diverse group of specialists to assist the National Security Advisor (NSA) in formulating long-term strategies for India's national interests.

 Additional Information

• National Security Council (NSC) Structure:
• The NSC is a three-tiered organization comprising the Strategic Policy Group (SPG), the National Security Advisory Board (NSAB), and the National Security Council Secretariat (NSCS).
• It was established in 1998 to serve as the prime agency for advising the Prime Minister's Office on matters of national security and strategic policy.
• Other Notable Figures:
• Ajit Doval: A former Director of the Intelligence Bureau (IB) and the current National Security Advisor, known for his role in operationalizing India's offensive-defense strategy.
• Shivshankar Menon: An eminent diplomat who served as the Foreign Secretary and as the 4th National Security Advisor under the UPA government.
• Brajesh Mishra: He served as India's first National Security Advisor (1998–2004) and played a critical role in India's nuclear diplomacy following the Pokhran-II tests.

The correct answer is Sikkim.

Key Points

• Prem Singh Tamang, popularly known as P.S. Golay, was sworn in as the Chief Minister of Sikkim for a second consecutive term on June 10, 2024.
• His political party, the Sikkim Krantikari Morcha (SKM), achieved a landslide victory in the 2024 Sikkim Legislative Assembly elections, securing 31 out of the 32 available seats.
• The Governor of Sikkim, Lakshman Prasad Acharya, administered the Oath of Office and Secrecy during a high-profile ceremony held at the Paljor Stadium in Gangtok.
• Tamang first rose to the position of Chief Minister in 2019, successfully challenging the 25-year long incumbency of the Sikkim Democratic Front (SDF).
• Under his leadership, the SKM government has emphasized local welfare, sustainable tourism, and infrastructure development across the Himalayan state.

 Additional Information

• Sikkim Krantikari Morcha (SKM):
• The party was founded by P.S. Golay in February 2013 at Soreng, West Sikkim, with the objective of bringing 'parivartan' (change) to the state's governance.
• Legislative Assembly of Sikkim:
• With only 32 seats, it is the smallest legislative assembly in India.
• One seat is uniquely reserved for the Sangha, representing the monastic community of the state.
• Arunachal Pradesh (Related Event):
• Coinciding with the 2024 elections, Pema Khandu was also sworn in as the Chief Minister of Arunachal Pradesh for his third term after the BJP won 46 out of 60 seats.
• Constitutional Framework:
• The Chief Minister is appointed by the Governor under Article 164 of the Indian Constitution, which stipulates that the council of ministers is collectively responsible to the State Legislative Assembly.

The correct answer is 13000.

Key Points

• The One Nation One Subscription (ONOS) is a landmark initiative by the Government of India designed to provide nationwide access to high-quality scholarly literature and research journals.
• Under this scheme, the government has negotiated with 30 major international publishers to provide access to more than 13,000 scholarly journals to all government-funded higher education and research institutions.
• The project is spearheaded by the Ministry of Education and the Department of Science and Technology (DST) to ensure that research resources are not limited by the financial constraints of individual institutions.
• The initiative covers approximately 6,300 institutions, including Central Universities, IITs, NITs, IISERs, and various state-funded universities and colleges across India.
• The implementation of ONOS aims to foster a robust research ecosystem by democratizing access to global knowledge, particularly benefiting students and faculty in smaller or remote educational centers.

 Additional Information

• Nodal Agency and Infrastructure:
• The Information and Library Network (INFLIBNET) Centre, an Inter-University Centre of the University Grants Commission (UGC), acts as the nodal agency for the execution and management of the ONOS portal.
• The initiative aligns with the goals of the National Education Policy (NEP) 2020, which emphasizes research, innovation, and the use of technology in education.
• By consolidating subscriptions at a national level, the government achieves significant cost-efficiency and eliminates the duplication of efforts and payments by individual institutions.
• It supports the Anusandhan National Research Foundation (ANRF) vision to elevate India's global standing in scientific and academic research.

The correct answer is Urgent Question.

Key Points

• Starred Questions are those for which a member desires an oral answer on the floor of the House. These are distinguished by an asterisk mark. Because the answer is delivered orally, supplementary questions can be asked by members with the permission of the Speaker or Chairman. Hence, Starred Question is a valid type.
• Unstarred Questions are those for which a written explanation is required. These are not specifically marked with an asterisk, and the written reply is deemed to be laid on the table of the House by the concerned Minister at the end of Question Hour. No supplementary questions can follow these. Hence, Unstarred Question is a valid type.
• Short Notice Questions relate to matters of urgent public importance and can be asked with a notice shorter than the standard ten clear days. These questions are answered orally, provided the Minister concerned agrees to answer at short notice. Hence, Short Notice is a valid type.
• The Indian parliamentary system does not recognize a category formally named Urgent Question. While the Short Notice Question addresses urgent matters, the terminology 'Urgent Question' is not used in the Rules of Procedure and Conduct of Business of the Lok Sabha or Rajya Sabha. Hence, Urgent Question is not a type of parliamentary question.

 Additional Information

• Question Hour:
• It is the first hour of every parliamentary sitting where members of Parliament (MPs) exercise their right to hold the Executive accountable.
• Questions can also be addressed to Private Members if the subject matter relates to a Bill or Resolution for which that member is responsible.
• Zero Hour:
• This is an Indian parliamentary innovation that is not mentioned in the Rules of Procedure.
• It starts immediately after the Question Hour and lasts until the regular agenda of the House is taken up.

Concept:

The monitoring and documentation of animal diversity in India are carried out by the Zoological Survey of India (ZSI), a premier organization under the Ministry of Environment, Forest and Climate Change. Every year, the ZSI releases a publication titled 'Animal Discoveries', which catalogs new species discovered (new to science) and new records (species found in India for the first time) during the preceding calendar year.

The relation used to determine the total additions is:

Total Faunal Additions = New Species discovered + New Records for the country

Given

The report released in the year 2024 (detailing discoveries from the year 2023) by the Zoological Survey of India (ZSI).

Calculation

In July 2024, during the 109th Foundation Day of the Zoological Survey of India, the Union Minister for Environment, Forest and Climate Change, Bhupender Yadav, released the 'Animal Discoveries 2023' report. According to the data compiled in this comprehensive survey:

1. Scientists and researchers identified a significant number of species across different geographical zones including the Western Ghats, North-East India, and the Andaman and Nicobar Islands.
2. The total number of faunal taxa added to the Indian database as per the specific data release for that period was 683.
3. This total includes invertebrates (which comprise the majority, particularly insects) and vertebrates (such as reptiles, fishes, and mammals).
4. With these additions, the total faunal diversity of India has reached a new milestone, reinforcing India's status as a mega-biodiverse nation.

Final Answer: ✅ 683

The correct answer is 3.

Key Points

• The Gaganyaan project is the first human spaceflight mission by the Indian Space Research Organisation (ISRO), aiming to demonstrate indigenous capability.
• The mission profile involves launching a crew of three members into a Low Earth Orbit (LEO) at an altitude of approximately 400 kilometers.
• The duration of the mission is specifically planned for 3 days, during which the crew will carry out various micro-gravity and scientific experiments.
• A primary objective is the safe recovery of the crew, which will be achieved by landing the Crew Module in Indian sea waters (likely the Arabian Sea) after re-entry into the atmosphere.
• The project was officially announced in 2018, making India the fourth country in the world to launch a human spaceflight mission after the Soviet Union, USA, and China.

 Additional Information

• Launch Vehicle Mark-3 (LVM3):
• The mission will utilize the LVM3 rocket, previously known as GSLV Mk III, which has been human-rated to ensure the highest safety standards for the astronauts.
• It features two S200 solid boosters, a L110 liquid core, and a powerful C25 cryogenic stage.
• Orbital Module (OM):
• The OM consists of two main parts: the Crew Module (CM), which is the habitable space for astronauts, and the Service Module (SM), which houses the propulsion system and power hardware.
• The Crew Escape System (CES) is a critical safety mechanism designed to automatically eject the crew module in case of any anomaly during the launch phase.
• Vyommitra:
• ISRO developed a half-humanoid robot named Vyommitra to be sent on uncrewed test flights to monitor parameters and simulate human functions before the actual crewed mission.
• Astronaut Selection:
• The designated astronauts, known as Gaganauts, were selected from the Indian Air Force (IAF) and underwent extensive training at the Gagarin Cosmonaut Training Center in Russia and ISRO's specialized facilities.

The correct answer is HAL.

Key Points

• The Combat Air Teaming System (CATS) Warrior is an indigenous unmanned combat aerial vehicle (UCAV) concept spearheaded by Hindustan Aeronautics Limited (HAL).
• It is designed as a loyal wingman, an autonomous platform intended to fly in tandem with manned fighter aircraft such as the LCA Tejas or the upcoming AMCA.
• The system utilizes Manned-Unmanned Teaming (MUM-T) technology, which allows human pilots to command a fleet of drones to perform Intelligence, Surveillance, and Reconnaissance (ISR) or strike missions.
• The Warrior is designed to carry a variety of munitions, including air-to-air and air-to-ground missiles, and is powered by a twin-engine configuration utilizing modified PTAE-7 turbojet engines.
• By deploying the Warrior for high-risk operations, the Indian Air Force (IAF) can effectively penetrate contested airspaces while significantly reducing the risk to human pilots and expensive manned assets.
• The project is a critical component of India’s Atmanirbhar Bharat initiative, aiming for self-reliance in advanced Artificial Intelligence (AI) based combat technologies.

 Additional Information

• Hindustan Aeronautics Limited (HAL):
• Established in 1940 and headquartered in Bengaluru, it is a premier Navratna Central Public Sector Enterprise under the Ministry of Defence.
• HAL is responsible for the design and manufacture of the LCA Tejas, LCH Prachand, and HTT-40 trainer aircraft.
• CATS Ecosystem Components:
• CATS Hunter: A standoff, air-launched cruise missile designed to hit targets deep within enemy territory.
• CATS ALFA (Air-Launched Flexible Asset): A specialized carrier capable of releasing swarm drones to overwhelm and saturate enemy air defenses.
• CATS Infinity: A High-Altitude Pseudo-Satellite (HAPS) designed for ultra-long endurance flights for persistent surveillance and communication relay.
• DRDO (Defence Research and Development Organisation):
• While DRDO focuses on broader military R&D, including the Tapal-BH and Ghatak UCAV projects, the CATS Warrior is specifically an HAL-led innovation.

The correct answer is New Delhi.

Key Points

• New Delhi is designated to host the prestigious World Para Athletics Championships in 2025, marking a monumental milestone for India's para-sports ecosystem.
• This global event brings together elite para-athletes from over 100 countries to compete in various track and field disciplines, promoting inclusivity, diversity, and sporting excellence.
• The selection of India's capital city highlights the nation's rising prominence in the international Paralympic movement, driven by historic medal tallies at recent Paralympic Games.
• The tournament is coordinated under the joint efforts of the Paralympic Committee of India (PCI) and World Para Athletics, the international governing body for the sport.

 Additional Information

• World Para Athletics Championships:
• It is a prestigious biennial athletics event organized by World Para Athletics, a sub-branch of the International Paralympic Committee (IPC).
• The championships serve as a primary qualification pathway for athletes securing slots for major upcoming Paralympic events.
• Paralympic Committee of India (PCI):
• Established in 1992, PCI is the apex national body responsible for promoting and developing para-sports within India.
• It is recognized by the Ministry of Youth Affairs and Sports, Government of India, and is actively involved in training and selecting athletes for international meets.
• New Delhi's Sporting Legacy:
• The capital has a rich history of hosting major multi-sport events, including the 1951 and 1982 Asian Games and the 2010 Commonwealth Games.
• Key venues like the Jawaharlal Nehru Stadium offer world-class, barrier-free infrastructure tailored to meet the accessibility needs of para-athletes.

The correct answer is 5.

Key Points

• The Secretary-General of the United Nations (UN) is appointed for a standard term of 5 years.
• According to Article 97 of the UN Charter, the Secretary-General serves as the chief administrative officer of the organization and is appointed by the General Assembly upon the recommendation of the Security Council.
• While the UN Charter does not specify a fixed term length, the General Assembly established the five-year duration through Resolution 11(I) in 1946 to ensure administrative stability.
• The term is renewable, and by established convention, most officeholders serve for a maximum of two consecutive terms (10 years total).

 Additional Information

• Selection and Appointment Process:
• The recommendation for the post is subject to the veto power of the five permanent members (P5) of the Security Council: the United States, United Kingdom, France, Russia, and China.
• To maintain neutrality, candidates are generally not chosen from the P5 nations, and the position often rotates among different geographic regions.
• Roles and Responsibilities:
• Under Article 99, the Secretary-General has the unique authority to bring any matter that may threaten international peace and security to the attention of the Security Council.
• The Secretary-General oversees the UN Secretariat, which is responsible for the day-to-day operations of the UN across the globe.
• Notable Incumbents:
• Trygve Lie from Norway served as the first Secretary-General of the United Nations.
• The current Secretary-General is António Guterres of Portugal, who assumed office on January 1, 2017, and began his second five-year term in 2022.

The correct answer is Shehnai.

Key Points

• The Kali is a traditional wind instrument, categorized as a Sushir Vadya, predominantly found in the musical culture of Assam.
• A Sushir Vadya (aerophone) is a class of musical instruments where sound is produced by the resonance of air, usually through a reed or a blowing hole.
• The Kali is structurally and functionally a refined version of the Shehnai, featuring a wooden pipe with several finger holes and a flared metal bell at the distal end.
• It utilizes a double reed system to produce its characteristic sharp and piercing tone, which is a hallmark of sophisticated wind instruments in the Indian subcontinent.
• Historically and culturally, the Kali is indispensable in Assamese folk traditions, especially during the Bihu festival, Ankiya Naat (traditional theatre), and various religious ceremonies held in Sattras (monasteries).
• The evolution of the Kali from basic reed pipes into a more complex melodic tool mirrors the development of the Shehnai in North Indian classical music, making it a critical regional counterpart.

 Additional Information

• Classification of Indian Instruments:
• Sushir Vadya:
• Includes instruments like the Bansuri (flute), Nadaswaram, and Pungi.
• The Shehnai is the most recognized classical instrument in this category, made famous globally by Ustad Bismillah Khan.
• Ghana Vadya:
• Solid instruments or idiophones like the Cymbal (known as Manjira or Bhartal in Assam) that do not require tuning.
• Avanaddha Vadya:
• Membranophones or percussion instruments like the Drum, Dhol, and Khol, where sound is produced by a stretched membrane.
• Tat Vadya:
• Chordophones or stringed instruments like the Guitar, Sitar, and Suroz.

The correct answer is 3.

Key Points

• Swachh Survekshan is an annual survey of cleanliness, hygiene, and sanitation in cities and towns across India, launched as part of the Swachh Bharat Mission (Urban).
• The design and assessment methodology of the survey are fundamentally built upon three key pillars that determine the final rankings of the Urban Local Bodies (ULBs).
• The first pillar is Service Level Progress (SLP), which accounts for a significant portion of the total score. It evaluates the performance of cities in segregated waste collection, processing, disposal, and sustainable sanitation through data submitted by the local authorities.
• The second pillar is Certification, which involves third-party verification of cities. This includes ratings under the Star Rating Protocol for Garbage-Free Cities (GFC) and various Open Defecation Free (ODF, ODF+, ODF++) certifications.
• The third pillar is Citizens Voice, which emphasizes direct feedback from residents. It measures citizen engagement, awareness, and satisfaction through surveys, the Swachhata App, and innovative initiatives led by the community.

 Additional Information

• Ministry of Housing and Urban Affairs (MoHUA):
• This is the nodal ministry responsible for conducting the Swachh Survekshan survey annually since its inception in 2016.
• The first survey in 2016 covered only 73 cities, but it has grown to become the world largest urban sanitation survey, covering over 4,000 cities.
• Swachh Bharat Mission (SBM):
• Launched on October 2, 2014, to commemorate the 145th birth anniversary of Mahatma Gandhi.
• The mission aims to achieve 100% scientific management of municipal solid waste and eliminate open defecation across India.
• The 2023 edition of the survey was themed Waste to Wealth, highlighting the importance of circular economy principles in waste management.

The correct answer is Ukraine.

Key Points

• According to the Stockholm International Peace Research Institute (SIPRI) report released in March 2025, Ukraine has emerged as the world's largest arms importer for the period 2020-24.
• The surge in imports is a direct result of the large-scale military aid and procurement following the Russian invasion in 2022, which fundamentally altered the global arms trade landscape.
• Prior to 2022, Ukraine was not a major importer, but it surpassed long-standing top importers like India and Saudi Arabia due to the influx of heavy artillery, air defense systems, and armored vehicles from the United States and NATO allies.
• The SIPRI data utilizes Trend Indicator Values (TIV) to measure the volume of transfers of major conventional weapons rather than the financial value of the contracts.
• The report also highlighted that Europe nearly doubled its arms imports between 2015-19 and 2020-24, reflecting heightened security concerns across the continent.

 Additional Information

• SIPRI (Stockholm International Peace Research Institute):
• Founded in 1966, it is an independent international institute that researches conflict, armaments, arms control, and disarmament.
• It provides open-source data on military expenditure and international arms transfers, serving as a primary resource for global security analysis.
• Japan:
• Japan has significantly increased its arms imports in the 2020-24 period to enhance its long-range strike capabilities and maritime defense in response to regional tensions in the Indo-Pacific.
• Brazil:
• Brazil is a major defense actor in Latin America, focusing on strategic projects like the Prosub submarine program and the acquisition of Gripen fighter jets to modernize its air force and navy.
• North Korea:
• Subject to strict United Nations Security Council sanctions, North Korea is prohibited from legal arms imports and exports, focusing instead on indigenous development of ballistic missiles and nuclear technology.

Shortcut Trick

Solve the expression using the BODMAS priority rule.

First, solve the bracket: (49 + 9) = 58.

Next, perform multiplication: 24 × 2 = 48.

Then, solve the remaining addition and subtraction: 73 + 62 − 38 + 48 − 58 = 87.

∴ The correct answer is 87.

Alternate Method

Given:

73 + 62 − 38 + 24 × 2 − (49 + 9)

Formula Used:

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

Calculations:

⇒ 73 + 62 − 38 + 24 × 2 − 58 (Solving Bracket)

⇒ 73 + 62 − 38 + 48 − 58 (Performing Multiplication)

⇒ 135 − 38 + 48 − 58 (Performing Addition from left)

⇒ 97 + 48 − 58 (Performing Subtraction)

⇒ 145 − 58 (Performing Addition)

⇒ 87

∴ The correct answer is 87.

Additional Information

BODMAS Rule

It ensures that mathematical expressions with multiple operators are solved in a standard sequence: Brackets → Orders (powers/roots) → Division/Multiplication → Addition/Subtraction.

Left-to-Right Rule

When operators of the same priority (like addition and subtraction) appear together, solve the expression from left to right to avoid errors.

Sign Convention

Always group positive numbers and negative numbers separately during lengthy calculations to simplify the final subtraction step.

Shortcut Trick

Perform Division and Multiplication first: 33 ÷ 3 = 11 and 18 × 1 = 18.

Expression simplifies to: 84 + 36 − 11 + 29 + 18 − 22.

Combine all positive terms: 84 + 36 + 29 + 18 = 167.

Combine all negative terms: −11 − 22 = −33.

Final value: 167 − 33 = 134.

∴ The correct answer is 134.

Alternate Method

Given: 84 + 36 − (33 ÷ 3) + 29 + 18 × 1 − 22

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

⇒ 84 + 36 − 11 + 29 + 18 × 1 − 22 (Solving Bracket/Division)

⇒ 84 + 36 − 11 + 29 + 18 − 22 (Solving Multiplication)

⇒ 120 − 11 + 29 + 18 − 22 (Solving Addition from left)

⇒ 109 + 29 + 18 − 22 (Solving Subtraction from left)

⇒ 138 + 18 − 22 (Solving Addition)

⇒ 156 − 22 (Solving Addition)

⇒ 134

∴ The correct answer is 134.

Additional Information

BODMAS Hierarchy

Operations must follow the order: Brackets (), Of (or exponents), Division (÷), Multiplication (×), Addition (+), and Subtraction (−).

Left to Right Rule

When operators of the same priority level appear (like ÷ and ×, or + and −), solve them sequentially from left to right.

Vinculum (VBODMAS)

In VBODMAS, the 'V' stands for Vinculum (a bar over numbers), which represents the highest priority, even before standard brackets.

Shortcut Trick

Total Work = LCM(10, 20) = 20 units.

Efficiency: M = 20 ÷ 10 = 2; N = 20 ÷ 20 = 1.

M at 60% efficiency = 2 × 0.6 = 1.2.

Total efficiency = 1.2 + 1 = 2.2.

Time required = 20 ÷ 2.2 ≈ 9.09 days.

∴ The correct answer is 9 days.

Alternate Method

Given:

Time taken by M = 10 days

Time taken by N = 20 days

Efficiency of M = 60%

Efficiency of N = 100%

Formula Used:

Total Work = Time × Efficiency

Time = Total Work ÷ Combined Efficiency

⇒ Actual efficiency of M = 60% of 2 = 0.6 × 2 = 1.2 units/day

⇒ Actual efficiency of N = 100% of 1 = 1 unit/day

⇒ Combined efficiency of M and N = 1.2 + 1 = 2.2 units/day

⇒ Total approximate time = 20 ÷ 2.2

⇒ Time = 200 ÷ 22 = 100 ÷ 11

⇒ Time ≈ 9.09 days

∴ The correct answer is 9 days.

Additional Information

Efficiency and Days Relation

Efficiency is inversely proportional to the number of days taken to complete the work. Efficiency ∝ 1 ÷ Time.

Work and Wages

Wages are generally distributed in the ratio of the work done by each person, which depends on their efficiency and the time they worked.

Alternate Work Concept

In alternate day work, calculate the combined efficiency for the cycle (e.g., 2 days) and then find how many cycles fit into the total work.

Shortcut Trick

Sum of ratio parts = 7 + 5 = 12 units.

Given 12 units = 60 balls.

Value of 1 unit = 60 ÷ 12 = 5 balls.

Number of red balls = 7 units × 5 = 35 balls.

∴ The correct answer is 35 balls.

Alternate Method

Given:

Ratio of red balls to blue balls = 7 : 5

Total balls in the bag = 60

Calculations:

⇒ Let the number of red balls be 7x and blue balls be 5x.

⇒ Total balls = 7x + 5x = 12x

⇒ 12x = 60

⇒ x = 60 ÷ 12

⇒ x = 5

⇒ Number of red balls = 7 × 5 = 35

∴ The correct answer is 35 balls.

Additional Information

Ratio Division

To divide a total quantity Q into a ratio a:b, the first part is [a / (a+b)] × Q and the second part is [b / (a+b)] × Q.

Percentage in Ratio

The percentage of a component in a ratio a:b is calculated as [a / (a+b)] × 100.

Inverse Ratio

The inverse ratio of a:b is b:a. This is often used in speed-time or efficiency-work problems.

Shortcut Trick

Total number of terms in the series (3, 15, 35, 63, 99) is 5.

Sum of whole number parts: 640 × 5 = 3200.

Sum of fractional parts using 1/(n × (n+2)): (1/2) × [1/1 − 1/11] = 5/11.

Combined result: 3200 + 5/11 = 3200 5/11.

∴ The correct answer is 3200(5)/(11).

Alternate Method

Given: 640 1/3 + 640 1/15 + 640 1/35 + ... + 640 1/99

Method: Separate the whole numbers and the fractions (Telescoping Series).

⇒ (640 + 640 + 640 + 640 + 640) + (1/3 + 1/15 + 1/35 + 1/63 + 1/99)

⇒ 3200 + [1/(1 × 3) + 1/(3 × 5) + 1/(5 × 7) + 1/(7 × 9) + 1/(9 × 11)]

⇒ 3200 + (1/2) × [(1/1 − 1/3) + (1/3 − 1/5) + (1/5 − 1/7) + (1/7 − 1/9) + (1/9 − 1/11)]

⇒ 3200 + (1/2) × [1 − 1/11]

⇒ 3200 + (1/2) × (10/11)

⇒ 3200 + 5/11 = 3200 5/11

∴ The correct answer is 3200(5)/(11).

Additional Information

Mixed Fraction Addition

For any mixed fractions, (A + b/c) + (D + e/f) = (A + D) + (b/c + e/f). This allows separate processing of integers and fractions.

Telescoping Series Sum

The sum of a series of the form 1/[n × (n+d)] is calculated as (1/d) × [1/First Factor − 1/Last Factor].

Denominator Pattern

In such series, denominators often follow the pattern (2n − 1)(2n + 1) or similar Arithmetic Progressions of factors.

Shortcut Trick

If the difference between the denominator and numerator (D − N) is the same for all given proper fractions, then the fraction with the smallest numerator is the smallest fraction.

Difference for all: 24 − 23 = 1 | 20 − 19 = 1 | 30 − 29 = 1 | 15 − 14 = 1.

Comparing numerators: 14 < 19 < 23 < 29.

Smallest numerator is 14, so 14/15 is the smallest.

∴ The correct answer is 14/15.

Alternate Method

Given fractions: 23/24, 19/20, 29/30, 14/15

Convert each fraction into the form (1 − difference/denominator):

⇒ 23/24 = 1 − 1/24

⇒ 19/20 = 1 − 1/20

⇒ 29/30 = 1 − 1/30

⇒ 14/15 = 1 − 1/15

Comparing the subtracted values:

⇒ 1/15 > 1/20 > 1/24 > 1/30

⇒ When a larger value is subtracted from 1, the result is smaller.

⇒ Since 1/15 is the largest subtracted part, 14/15 is the smallest fraction.

∴ The correct answer is 14/15.

Additional Information

Comparison of Proper Fractions

For proper fractions with the same difference between numerator and denominator, the fraction with the larger numbers is always greater.

Cross Multiplication Method

To compare a/b and c/d, check the products a × d and b × c. If a × d < b × c, then a/b < c/d.

Same Numerator Rule

If numerators are equal, the fraction with the larger denominator is the smaller fraction (e.g., 1/10 < 1/5).

Shortcut Trick

Direct formula: Side of a square = Perimeter ÷ 4

Given Perimeter = 32 cm

Side = 32 ÷ 4 = 8 cm

∴ The correct answer is 8 cm.

Alternate Method

Given:

The perimeter of the square = 32 cm

Formula Used:

Perimeter of a square = 4 × side

Calculations:

Let the side of the square be s cm.

⇒ 4 × s = 32

⇒ s = 32 ÷ 4

⇒ s = 8 cm

∴ The correct answer is 8 cm.

Additional Information

Area of a Square

The total space occupied by the square is given by the formula: Area = side².

Diagonal of a Square

The distance between opposite vertices: Diagonal = side × √2.

Properties of a Square

All four sides are equal and all internal angles are 90°.

Shortcut Trick

Side of square = Perimeter ÷ 4

Side = 16 ÷ 4 = 4 cm

Area of square = Side²

Area = 4² = 16 cm²

∴ The correct answer is 16 cm².

Alternate Method

Given:

Perimeter of the square = 16 cm

Formula Used:

Perimeter of square = 4 × s (where s = side)

Area of square = s²

Calculations:

⇒ 4 × side = 16

⇒ side = 16 ÷ 4

⇒ side = 4 cm

⇒ Area = side × side

⇒ Area = 4 × 4

⇒ Area = 16 cm²

∴ The correct answer is 16 cm².

Additional Information

Diagonal of a Square

The length of the diagonal (d) is given by d = side × √2.

Area in terms of Diagonal

The Area of a square can also be calculated as (diagonal²) ÷ 2.

Properties of a Square

All four sides are equal, and all interior angles are 90°. Diagonals bisect each other at 90°.

Shortcut Trick

The series is a multiple of 4: 4 × (1 + 2 + 3 + ... + 22).

Total number of terms n = 88 ÷ 4 = 22.

Sum of n terms = 4 × [n × (n + 1) ÷ 2] = 2 × n × (n + 1).

Required Sum = 2 × 22 × 23 = 44 × 23 = 1012.

∴ The correct answer is 1012.

Alternate Method

Given: First term (a) = 4, Common difference (d) = 4, Last term (l) = 88.

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

⇒ Number of terms (n) = [(88 − 4) ÷ 4] + 1

⇒ n = [84 ÷ 4] + 1 = 21 + 1 = 22

⇒ Sum (S₂₂) = (22 ÷ 2) × (4 + 88)

⇒ S₂₂ = 11 × 92

⇒ S₂₂ = 1012

∴ The correct answer is 1012.

Additional Information

Arithmetic Progression n^th Term

The n^th term of an AP is given by a_n = a + (n − 1)d, where a is the first term and d is the common difference.

Sum of Arithmetic Progression

The sum S_n can also be expressed as (n ÷ 2)[2a + (n − 1)d] or (n ÷ 2)(first term + last term).

Sum of First n Natural Numbers

The sum of the series 1 + 2 + 3 + ... + n is always S = [n × (n + 1)] ÷ 2.

Shortcut Trick

For a number to be divisible by 6, it must be divisible by both 2 and 3.

The number 95P8 ends in 8, so it is already divisible by 2.

For divisibility by 3, the sum of digits (9 + 5 + P + 8 = 22 + P) must be a multiple of 3.

Checking options: 22 + 2 = 24, which is divisible by 3.

∴ The correct answer is 2.

Alternate Method

Given: The number 95P8 is divisible by 6.

Formula Used: A number is divisible by 6 if it satisfies the divisibility rules of both 2 and 3.

⇒ Divisibility rule of 2: The last digit of the number must be even (0, 2, 4, 6, or 8).

⇒ In 95P8, the unit digit is 8, which is even. Thus, the number is divisible by 2 for any value of P.

⇒ Divisibility rule of 3: The sum of all digits of the number must be divisible by 3.

⇒ Sum of digits = 9 + 5 + P + 8 = 22 + P

⇒ For the number to be divisible by 3, 22 + P must be a multiple of 3 (24, 27, 30, ...).

⇒ If 22 + P = 24, then P = 2.

⇒ If 22 + P = 27, then P = 5.

⇒ If 22 + P = 30, then P = 8.

⇒ Among the given options (0, 2, 4, 6), only P = 2 satisfies the condition.

∴ The correct answer is 2.

Additional Information

Divisibility by 3

A number is divisible by 3 if the sum of its digits is a multiple of 3.

Divisibility by 4

A number is divisible by 4 if the last two digits of the number are divisible by 4.

Divisibility by 9

A number is divisible by 9 if the sum of its digits is divisible by 9.

Shortcut Trick

Increase in average required = 40 − 38 = 2 runs

Total matches after next game = 16

Runs required = New Average + (Old Matches × Increase)

Required runs = 40 + (15 × 2) = 40 + 30 = 70

∴ The correct answer is 70 runs.

Alternate Method

Given: Average of 15 matches = 38, Target average of 16 matches = 40.

Formula: Total Runs = Average × Number of Matches

⇒ Total runs in 15 matches = 15 × 38

⇒ Total runs (15 matches) = 570 runs

⇒ Total runs required for 16 matches = 16 × 40

⇒ Total runs (16 matches) = 640 runs

⇒ Runs needed in 16th match = Total runs (16 matches) − Total runs (15 matches)

⇒ Runs in 16th match = 640 − 570 = 70 runs

∴ The correct answer is 70 runs.

Additional Information

Average Basic Concept

Average is the sum of all observations divided by the number of observations. Average = Sum ÷ Count.

Net Deviation Method

The sum of deviations of all values from the average is always zero. If the average increases, the new value must be New Avg + (Previous Count × Increase).

Inclusion/Exclusion Rule

When a new member joins and the average increases, the value of the new member = Old Average + (New Total Strength × Increase in Average).

Shortcut Trick

In any Arithmetic Progression (AP), if an equal number of terms are added symmetrically to both the start and the end, the Average remains unchanged.

The 12 consecutive odd numbers form an AP with a common difference of 2.

Adding the just previous and just next odd number is a perfectly symmetrical addition around the central value.

Original Average = 36.

New Average = 36.

∴ The correct answer is 36.

Alternate Method

Given: Average of 12 consecutive odd natural numbers is 36.

Formula Used: Average of numbers in Arithmetic Progression = (First term + Last term) ÷ 2

⇒ For 12 consecutive odd numbers, the average 36 lies between the 6^th and 7^th term.

⇒ Middle terms = 36 − 1 and 36 + 1 = 35 and 37.

⇒ First term (a) = 35 − (5 × 2) = 25.

⇒ Last term (l) = 37 + (5 × 2) = 47.

⇒ Just previous odd number = 25 − 2 = 23.

⇒ Just next odd number = 47 + 2 = 49.

⇒ New Average = (New First Term + New Last Term) ÷ 2

⇒ New Average = (23 + 49) ÷ 2 = 72 ÷ 2 = 36.

∴ The correct answer is 36.

Additional Information

Arithmetic Progression (AP) Property

For any AP, the average of n terms is always (a + l) ÷ 2, where a is the first term and l is the last term.

Symmetrical Addition Rule

Adding or removing terms symmetrically from the center of an AP does not change the Arithmetic Mean.

Sum of Consecutive Odd Numbers

The sum of first n odd numbers starting from 1 is n². For any other sequence, sum = n × Average.

Shortcut Trick

Prime Factorization of 200 = 2³ × 5².

To find the total number of positive factors, add 1 to each exponent and multiply the results.

Total factors = (3 + 1) × (2 + 1) = 4 × 3 = 12.

∴ The correct answer is 12.

Alternate Method

Given: The number is 200.

Formula Used: If a number N can be expressed in prime factorization as N = p^a × q^b × r^c..., then the total number of positive factors is given by (a + 1)(b + 1)(c + 1)...

⇒ Prime factorization of 200: 200 = 2 × 100

⇒ 200 = 2 × 2 × 50

⇒ 200 = 2 × 2 × 2 × 25

⇒ 200 = 2³ × 5²

⇒ Here, p = 2, a = 3 and q = 5, b = 2.

⇒ Total number of factors = (3 + 1) × (2 + 1)

⇒ Total number of factors = 4 × 3 = 12.

∴ The correct answer is 12.

Additional Information

Sum of Factors

The sum of all factors of N = p^a × q^b is calculated as [(p^a+1 − 1) / (p − 1)] × [(q^b+1 − 1) / (q − 1)].

Number of Odd and Even Factors

For N = 2^a × p^b × q^c, the number of odd factors is (b+1)(c+1)... and the number of even factors is a × (b+1)(c+1)...

Product of Factors

The product of all factors of a number N is equal to N^{(Total Factors / 2)}.

Shortcut Trick

To find when the bells ring together, find the LCM of their ringing intervals.

Intervals = 6, 8, 10, and 15 seconds.

LCM(6, 8, 10, 15) = 120 seconds.

Convert to minutes: 120 ÷ 60 = 2 minutes.

∴ The correct answer is 2 min.

Alternate Method

Given:

Intervals of 4 bells = 6 sec, 8 sec, 10 sec, and 15 sec.

Formula Used:

Time interval for events to occur together = LCM of individual intervals.

Calculations:

⇒ Prime factorization of intervals:

⇒ 6 = 2 × 3

⇒ 8 = 2 × 2 × 2 = 2³

⇒ 10 = 2 × 5

⇒ 15 = 3 × 5

⇒ LCM = 2³ × 3 × 5

⇒ LCM = 8 × 3 × 5 = 120 seconds

⇒ Required time in minutes = 120 ÷ 60

⇒ Required time = 2 minutes

∴ The correct answer is 2 min.

Additional Information

LCM for Recurring Events

For questions involving traffic lights, bells, or runners on a track, the time they meet/repeat together is always the LCM of their individual cycles.

Time Conversion

To convert seconds to minutes, divide by 60. To convert minutes to hours, divide by 60.

Prime Factorization Method

LCM is the product of the highest powers of all prime factors involved in the given numbers.

Shortcut Trick

Profit percentage = 15% = 3/20 → Ratio of CP to SP = 20 : 23

Given Selling Price (SP) = 23 units = ₹345

1 unit = 345 ÷ 23 = ₹15

Value of Profit = 3 units = 3 × 15 = ₹45

∴ The correct answer is ₹45.

Alternate Method

Given:

Selling Price (SP) = ₹345

Profit percentage = 15%

Formula Used:

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

Profit = Selling Price − Cost Price

Calculations:

⇒ CP = (345 × 100) ÷ (100 + 15)

⇒ CP = 34500 ÷ 115

⇒ CP = ₹300

⇒ Profit = 345 − 300

⇒ Profit = ₹45

∴ The correct answer is ₹45.

Additional Information

Profit Percentage Formula

The percentage of profit is always calculated on the Cost Price: Profit % = (Profit ÷ CP) × 100.

Loss Calculation

When the Selling Price is less than the Cost Price, a loss occurs. Loss = CP − SP.

Relationship between SP and CP

For a given profit percentage (P%), the selling price is calculated as: SP = CP × (100 + P) ÷ 100.

Shortcut Trick

Profit percentage 25% = 1/4, where 4 is Cost Price (CP) and 1 is Profit.

The difference between SP and CP is the Profit itself = 1 unit.

Given, 1 unit = ₹150.

Selling Price (SP) = CP + Profit = 4 + 1 = 5 units.

SP = 5 × ₹150 = ₹750.

∴ The correct answer is ₹750.

Alternate Method

Given:

Difference (SP − CP) = ₹150

Profit percentage = 25%

Formula Used:

Profit = (Profit % × Cost Price) ÷ 100

Selling Price = Cost Price + Profit

Calculations:

⇒ Profit = 25% of Cost Price (CP)

⇒ 150 = (25 ÷ 100) × CP

⇒ 150 = (1 ÷ 4) × CP

⇒ CP = 150 × 4 = ₹600

⇒ SP = CP + Profit

⇒ SP = 600 + 150 = ₹750

∴ The correct answer is ₹750.

Additional Information

Profit and Loss Basics

Profit occurs when SP > CP, and Loss occurs when CP > SP. Both are always calculated on the Cost Price unless specified otherwise.

Direct SP Formula

SP = CP × (100 + Profit%) ÷ 100. For a loss, SP = CP × (100 − Loss%) ÷ 100.

Marked Price and Discount

Selling Price can also be calculated using Marked Price (MP): SP = MP − Discount. Discount percentage is always calculated on the Marked Price.

Shortcut Trick

Assume initial income = 100 units.

Expenditure = 70 units, Saving = 30 units.

New Income = 100 + 60% = 160 units.

New Expenditure = 70 + 50% = 105 units.

New Saving = 160 − 105 = 55 units.

55 units = Rs. 5500 ⇒ 100 units = Rs. 10000.

∴ The correct answer is Rs. 10000.

Alternate Method

Given:

Initial expenditure = 70% of Income

Income increase = 60%

Expenditure increase = 50%

Final saving = Rs. 5500

Formula: Income = Expenditure + Saving

⇒ Let the initial income be 100x.

⇒ Initial expenditure = 70x

⇒ Initial saving = 100x − 70x = 30x

⇒ New income = 100x × 160/100 = 160x

⇒ New expenditure = 70x × 150/100 = 105x

⇒ New saving = 160x − 105x = 55x

⇒ 55x = 5500

⇒ x = 100

⇒ Initial income = 100 × 100 = Rs. 10000

∴ The correct answer is Rs. 10000.

Additional Information

Income-Expenditure Relationship

Total Income is always the sum of total Expenditure and total Savings. Any increase in income is distributed between increase in expenditure and increase in savings.

Percentage Change Formula

New Value = Original Value × (100 + Increase %)/100. This is useful for calculating updated income and expenses quickly.

Savings Growth Rate

If the percentage increase in Income is greater than the percentage increase in Expenditure, the percentage increase in Savings will typically be significantly higher than the income growth rate.

Shortcut Trick

Total work = LCM(18, 27, 54) = 54 units.

Efficiencies: A = 3, B = 2, C = 1. (Sum = 6 units/day).

Work done by A, B, and C in 3 days = 6 × 3 = 18 units.

Remaining work = 54 − 18 = 36 units.

Time taken by A and C = 36 ÷ (3 + 1) = 9 days.

∴ The correct answer is 9 days.

Alternate Method

Given:

Time taken by A = 18 days

Time taken by B = 27 days

Time taken by C = 54 days

Formula Used:

Efficiency = Total Work ÷ Time Taken

Calculations:

⇒ Total work assumed is the LCM of 18, 27, and 54, which is 54 units.

⇒ Combined efficiency of A, B, and C = 3 + 2 + 1 = 6 units/day.

⇒ Since they worked together for 3 days, work completed = 6 × 3 = 18 units.

⇒ Remaining work = Total Work − Completed Work = 54 − 18 = 36 units.

⇒ Efficiency of (A + C) = 3 + 1 = 4 units/day.

⇒ Time taken to complete remaining work = 36 ÷ 4 = 9 days.

∴ The correct answer is 9 days.

Additional Information

Work and Efficiency

The time taken to complete a work is inversely proportional to the efficiency of the person. Time × Efficiency = Constant (Total Work).

Pipes and Cisterns

This topic is an extension of Time and Work where filling pipes have positive efficiency and outlet/leakage pipes have negative efficiency.

Work and Wages

Wages are generally distributed in the ratio of the work done by each person. If they work for the same duration, wages are divided in the ratio of their efficiencies.

Shortcut Trick

Since the speed is constant, the difference in time can be calculated directly by dividing the difference in distance by the speed.

Time Difference = (Distance₁ − Distance₂) ÷ Speed

Time Difference = (126 − 72) ÷ 18 = 54 ÷ 18

Time Difference = 3 hr

∴ The correct answer is 3 hr.

Alternate Method

Given:

Distance₁ = 126 km

Distance₂ = 72 km

Speed = 18 km/hr

Formula Used:

Time = Distance ÷ Speed

Calculations:

⇒ Time taken to cover 126 km (T₁) = 126 ÷ 18

⇒ T₁ = 7 hr

⇒ Time taken to cover 72 km (T₂) = 72 ÷ 18

⇒ T₂ = 4 hr

⇒ Difference in time = T₁ − T₂

⇒ Difference in time = 7 − 4 = 3 hr

∴ The correct answer is 3 hr.

Additional Information

Average Speed

When a body covers different distances at different speeds, Average Speed = Total Distance ÷ Total Time.

Unit Conversion

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

Relative Speed

If two objects move in the same direction with speeds u and v, relative speed = |u − v|. If they move in opposite directions, relative speed = u + v.

Shortcut Trick

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

Directly equate the percentage units: 9x + 3y = 3 × (2x + 5y)

⇒ 9x + 3y = 6x + 15y

⇒ 3x = 12y

⇒ x/y = 4/1

∴ The correct answer is 4:1.

Alternate Method

Given:

First number = x

Second number = y

Formula Used: Percentage of a number = (Rate/100) × Number

Calculations:

⇒ (9/100)x + (3/100)y = 3 × [(2/100)x + (5/100)y]

⇒ (9x + 3y) / 100 = 3 × (2x + 5y) / 100

Multiplying both sides by 100:

⇒ 9x + 3y = 6x + 15y

Grouping the variables:

⇒ 9x − 6x = 15y − 3y

⇒ 3x = 12y

⇒ x / y = 12 / 3

⇒ x / y = 4 / 1

∴ The correct answer is 4:1.

Additional Information

Ratio and Proportion

A ratio compares two quantities by division. If a/b = c/d, then a, b, c, d are in proportion.

Percentage to Fraction

To convert a percentage to a fraction, divide the value by 100. For example, 25% = 25/100 = 1/4.

Comparison of Ratios

To compare two ratios, convert them into fractions and make the denominators equal or convert them into decimal values.

The correct answer is: Someone or something whose success or popularity is short-lived.

Key Points

• The idiom 'a flash in the pan' refers to something that starts out with great promise but soon fails or is not repeated; it implies a temporary success. (क्षणभंगुर सफलता)
• Example: The new company's high profits last month proved to be just a flash in the pan when they went bankrupt this month.
• 'Someone or something whose success or popularity is short-lived' describes a person or thing that achieves fame or success for a very brief period and then disappears from the spotlight. (अल्पकालिक सफलता)
• Example: Many pop stars of the 90s were just short-lived sensations who are no longer remembered today.
• Hence, we can infer that the meaning of the idiom 'a flash in the pan' is 'someone or something whose success or popularity is short-lived'.

Therefore, the correct answer is: Someone or something whose success or popularity is short-lived.

Additional Information

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

• To abruptly turn on (अचानक चालू होना): To start or activate something, especially lights or machinery, very suddenly.
• Example: The security lights abruptly turned on as soon as the thief climbed over the wall.
• To look at one (एक नज़र देखना): To cast a quick or unexpected glance at someone or something.
• Example: She took a quick look at him to see if he was joking.
• To be thought of in a quick or fleeting fashion (क्षणभर के लिए विचार में आना): When an idea or thought passes through the mind very rapidly without staying.
• Example: For a second, the idea of quitting his job was thought of in a fleeting fashion, but he decided to stay.

The correct answer is: Enlarge.

Key Points

• The word 'expand' means to increase in size, volume, or quantity, or to make something become larger. (विस्तार करना)
• Example: Metals tend to expand when they are heated.
• 'Enlarge' means to make something bigger or to become larger in size or scale. It is the closest synonym for 'expand' as both describe the process of increasing dimensions. (बड़ा करना)
• Example: We are planning to enlarge our kitchen to make more space for dining.
• Hence, we can infer that the synonym of 'expand' is 'enlarge'.

Therefore, the correct answer is- Enlarge.

Additional Information

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

• Reduce (कम करना): To make something smaller or less in amount, degree, or size.
• Example: You need to reduce the speed of the car as you approach the intersection.
• Hide (छिपाना): To put or keep something out of sight or to keep a secret.
• Example: He tried to hide the broken vase behind the curtain.
• Destroy (नष्ट करना): To end the existence of something by damaging it so badly that it cannot be repaired.
• Example: The heavy earthquake managed to destroy many old buildings in the city.

The correct answer is: Sponteneous.

Key Points

• The word 'Spontaneous' is the correct spelling, which means performed or occurring as a result of a sudden impulse or inclination and without premeditation. (स्वतः होने वाला)
• Example: The audience burst into spontaneous applause at the end of the play.
• The option 'Sponteneous' is incorrectly spelled.
• Hence, we can identify 'Sponteneous' as the correct choice.

Therefore, the correct answer is: Sponteneous.

Additional Information

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

• Sanctimonious (ढोंगी): Making a show of being morally superior to other people.
• Example: We were tired of his sanctimonious lectures about healthy eating.
• Scintillating (शानदार): Sparkling or shining brightly; brilliantly clever or exciting.
• Example: The professor delivered a scintillating lecture on quantum physics.
• Serendipity (आकस्मिक लाभ): The occurrence and development of events by chance in a happy or beneficial way.
• Example: Finding her lost ring in the garden was a stroke of pure serendipity.

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

Key Points

• The word 'encourage' means to give support, confidence, or hope to someone; it involves stimulating the development or progress of an action or person. (प्रोत्साहित करना)
• Example: A good teacher will always encourage students to ask questions and explore new ideas.
• 'Dishearten' means to cause someone to lose determination or confidence; it describes the act of making someone feel less hopeful or enthusiastic. (हतोत्साहित करना)
• Example: Although the team lost the first match, they did not let the defeat dishearten them for the rest of the tournament.
• Hence, we can infer that the opposite of 'encourage' is 'dishearten'.

Therefore, the correct answer is- Dishearten.

Additional Information

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

• Inspire (प्रेरित करना): To fill someone with the urge or ability to do or feel something, especially something creative or positive.
• Example: The athlete's journey from injury to victory continues to inspire millions of fans.
• Praise (प्रशंसा करना): To express warm approval, admiration, or commendation for someone's achievements or qualities.
• Example: The manager was quick to praise the staff for completing the project ahead of schedule.
• Motivate (प्रेरित करना/उत्साहित करना): To provide someone with a reason for doing something or to make them feel enthusiastic about a task.
• Example: Financial rewards are often used to motivate employees to reach their monthly targets.

The correct answer is: Capture.

Key Points

• The word 'Escape' means the act of breaking free from confinement, control, or a dangerous situation. (बच निकलना/पलायन)
• Example: The convicts made a daring escape from the prison during the storm.
• 'Capture' refers to the act of catching or taking possession of someone or something by force or skill; it is the direct opposite of letting someone go or them getting away. (पकड़ना/बंदी बनाना)
• Example: The police were finally able to capture the criminal after a week-long search.
• Hence, we can infer that the opposite of 'Escape' is 'Capture'.

Therefore, the correct answer is- Capture.

Additional Information

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

• Liberation (मुक्ति/स्वतंत्रता): The act of setting someone free from imprisonment, slavery, or oppression.
• Example: The liberation of the occupied territory brought great joy to the local population.
• Breakout (जेल से भागना/प्रस्फुटन): A sudden and forcible escape from a place or a sudden development.
• Example: Security was tightened immediately after the news of the prison breakout reached the authorities.
• Flight (पलायन/उड़ान): The action of fleeing or running away from a threat; it can also refer to the movement through the air.
• Example: The flight of refugees from the war-torn region created a humanitarian crisis.

The correct answer is 'on'.

 

Key Points

• The preposition 'on' is used when referring to travelling by public transport or large vehicles where there is space to stand or walk, such as a bus, train, or plane.
• When a vehicle is preceded by an article ('a', 'an', or 'the') or a determiner, the preposition 'on' is required (e.g., 'on a tour bus').
• The preposition 'by' is used to indicate a mode of transport in general and is followed directly by the noun without an article (e.g., 'by bus').
• Options 1, 3, and 4 are grammatically incorrect in this specific context.

Therefore, the correct answer is Option 2.

 

Complete Sentence: 'The teachers are going on a tour bus.'

 

Additional Information

• Option 1: 'by' would be correct if the sentence was 'going by tour bus', as 'by' cannot be used with the article 'a' for transport.
• Option 3: 'in' is used for small, private vehicles where you sit down immediately, like cars or taxis (e.g., 'in a car').
• Option 4: 'through' indicates movement from one side to another or within an enclosed area (e.g., 'through the city').

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

Key Points

• The phrase 'The ability to make quick decisions and good judgements in a particular field' refers to having a high level of insight and shrewdness in a specific area, such as business or politics. (किसी विशेष क्षेत्र में त्वरित और सटीक निर्णय लेने की क्षमता)
• Example: He is known for his sharp business acumen, which has helped him build several successful companies.
• 'Acumen' means the ability to make good judgments and take quick decisions, typically in a particular domain. (कुशाग्रता/बारीक समझ)
• Example: Her financial acumen was instrumental in helping the firm navigate the economic crisis.
• Hence, we can infer that 'Acumen' is the most suitable one-word substitution for the given description.

Therefore, the correct answer is- Acumen.

Additional Information

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

• Contrition (पछतावा/अनुताप): The state of feeling remorseful and penitent for a sin or shortcoming.
• Example: The defendant showed genuine contrition for his actions during the trial.
• Candor (स्पष्टवादिता/निष्कपटता): The quality of being open and honest in expression; frankness.
• Example: We were surprised by the candor of her confession regarding the mistake.
• Abnegation (त्याग/अस्वीकार): The act of renouncing or rejecting something, typically a right, belief, or pleasure.
• Example: Her life was marked by self-sacrifice and the abnegation of material comforts.

The correct answer is Classical music is played by the orchestra at the concert hall every weekend.

Key Points

• The provided sentence is in the Simple Present Tense, which is used to describe habitual actions, general truths, or routines. This is identified by the base verb plays (V1+s) following the singular subject The orchestra.
• In the Active Voice, the structure follows the pattern: Subject + Verb (s/es) + Object. In this instance, The orchestra is the subject performing the action, and classical music is the direct object receiving the action.
• To convert a sentence from Active to Passive Voice in the Simple Present Tense, the object of the active sentence becomes the subject of the passive sentence. The grammatical formula is: New Subject + is/am/are + Past Participle (V3) + by + Agent (Optional).
• The term Classical music is an uncountable noun and is treated as singular. Therefore, the auxiliary verb is must be used to maintain Subject-Verb Agreement.
• The Past Participle form of the verb play is played. Consequently, the core passive structure becomes is played.
• The agent of the action, the orchestra, is introduced using the preposition by. The phrase at the concert hall every weekend serves as an Adverbial of Place and Time and remains at the end of the sentence to preserve the original context and frequency.

 Additional Information

• Analysis of incorrect tense conversions:
• Simple Past Passive: The phrase was played is used only if the original sentence was in the Simple Past (e.g., 'The orchestra played'). Since the original action is habitual/present, this is incorrect.
• Present Continuous Passive: The structure is being played is reserved for actions currently in progress at the time of speaking. It does not fit the every weekend habitual context.
• Present Perfect Passive: The construction has been played indicates an action that started in the past and has just been completed or continues to have relevance, which changes the Simple Present meaning.
• Transitive Verbs: Only sentences with transitive verbs (verbs that take an object) can be converted into the passive voice. Here, plays is transitive as it acts upon classical music.

The correct answer is Is a science quiz being prepared by you for the children?.

Key Points

• The given sentence is an interrogative sentence written in the Present Continuous Tense. The active voice structure is: Am/Is/Are + Subject + V1 + ing + Object?.
• To convert a Present Continuous sentence into Passive Voice, the structure used is: Am/Is/Are + New Subject + being + Past Participle (V3) + by + New Object?.
• In the active sentence, the subject is you and the object is a science quiz. During conversion, a science quiz becomes the new subject of the passive sentence.
• Since the new subject a science quiz is singular, the helping verb Is must be placed at the beginning of the sentence to maintain the interrogative form.
• The main verb preparing is changed into its Past Participle form, which is prepared. The auxiliary word being is added before the past participle to indicate the continuous aspect of the action in the passive state.
• The original subject you becomes the agent of the action, introduced by the preposition by. The phrase for the children remains as an additional adjunct at the end of the clause.

 Additional Information

• Incorrect Tense and Subject-Verb Agreement:
• Was a science quiz...: This option is incorrect because it uses the Past Continuous Tense auxiliary verb Was, which changes the timeframe of the original Present Continuous sentence.
• Are a science quiz...: This option is grammatically incorrect because it fails to follow Subject-Verb Agreement. The plural verb Are cannot be used with the singular subject a science quiz.
• Has a science quiz...: This option incorrectly utilizes the Present Perfect Tense helping verb. The Present Perfect Passive requires the structure Has/Have + Subject + been + V3, which does not match the continuous nature of the original question.

The correct answer is The workers were painting the gates all afternoon..

Key Points

• The given sentence is in the Passive Voice and follows the Past Continuous Tense structure. The passive form for this tense is: Subject + was/were + being + Past Participle (V3) + by + Agent.
• To convert the sentence into the Active Voice, the Agent (the workers) must be shifted to the Subject position, and the Passive Subject (the gates) must be shifted to the Object position.
• The auxiliary verb being is removed, and the Past Participle (painted) is changed back into its Present Participle form (painting) to reflect continuous action in the past.
• The active structure for the Past Continuous Tense is: Subject + was/were + Present Participle (V-ing) + Object. Since The workers is a plural noun, the auxiliary verb were is retained.
• Combining these elements, the sentence becomes 'The workers were painting the gates all afternoon'.

 Additional Information

• Tense Variations:
• Simple Past Tense: Used for actions completed at a specific time in the past. The active form is 'The workers painted the gates'.
• Past Perfect Tense: Used to describe an action that was completed before another action or time in the past. The active form is 'The workers had painted the gates'.
• Simple Future Tense: Used for actions that will happen after the current moment. The active form is 'The workers will paint the gates'.
• Active vs. Passive Voice:
• In Active Voice, the subject performs the action. It is more direct and emphasizes the doer.
• In Passive Voice, the subject receives the action. It is often used when the action itself or the receiver is more important than the doer.

The correct answer is 'of'.

 

Key Points

• The adjective proud is habitually followed by the preposition of when referring to the object of one's pride.
• The phrase proud of means feeling deep pleasure or satisfaction as a result of one's own achievements, qualities, or possessions.
• In this context, the sentence indicates that the French feel a sense of pride regarding their valour (great courage in the face of danger).
• Using any other preposition like in, at, or about with the adjective proud is grammatically incorrect.

Therefore, the correct answer is Option 1.

 

Complete Sentence: 'The French are very proud of their valour.'

 

Additional Information

• Take pride in: While we use the preposition of with the adjective proud, we use the preposition in with the noun pride (e.g., They take pride in their work).
• Option 2: 'in' is used with the verb/noun form (pride in) but not with the adjective proud.
• Option 3: 'at' and Option 4: 'about' are not standard collocations for expressing pride in English grammar.

The correct answer is replete with loopholes that could have.

Key Points

• The adjective replete identifies a state of being full or abundantly supplied. In the English language, it is a linguistic fact that replete must be followed by the fixed preposition with to form a grammatically correct collocation.
• The sentence utilizes the past tense verb was found in the principal clause. To maintain tense consistency (also known as the sequence of tenses), the subordinate clause describing the potential of the loopholes must use the past form of the modal verb. Therefore, could is required instead of can.
• The relative pronoun that is preferred here to introduce a restrictive relative clause. This clause is essential to the sentence as it defines the specific nature of the loopholes that made the proposal problematic.
• The phrase could have correctly expresses past possibility or potential, aligning with the observation made when the proposal was first evaluated.

 Additional Information

• Prepositional Usage:
• Replete of: This is a grammatical error often caused by confusion with the phrase 'full of'. While they share meanings, their syntactic requirements differ.
• Replete in: This variation is generally restricted to scientific or biological contexts, such as a substance being 'replete in nutrients', and does not apply to abstract flaws like loopholes.
• Modal Verb Logic:
• The use of can in the original sentence creates a tense mismatch. In formal writing, if the discovery (was found) happened in the past, the potential consequences are viewed from that past perspective, necessitating could.
• Could also functions as a subjunctive mood marker here, indicating a hypothetical outcome based on the existing flaws in the proposal.

The correct answer is Option 4.

Key Points

• The paragraph begins with a metaphor comparing a person's actions to those of a philanthropist whose altruistic motives unexpectedly lead to a lucrative investment.
• Sentence D follows S1 as it directly continues the philanthropist metaphor, detailing the specific ten percent reward and the resulting awkward feeling that the profit detracts from the savour of his virtue.
• Sentence A is the third sentence because it transitions from the general metaphor to the specific character Bateman Hunter. He relates to the philanthropist's dilemma and dreads the scrutiny of Isabel Longstaffe’s cool grey eyes.
• Sentence C follows A by providing a description of the cool grey eyes mentioned at the end of sentence A, stating that they were far-seeing and wise.
• Sentence B is the fifth sentence as it expands on Isabel Longstaffe’s character, describing her meticulous uprightness, her exacting code, and her tendency to express disapproval through cold silence.
• The fixed sentence S2 concludes the sequence by emphasizing the finality of Isabel's judgement, which is a direct consequence of the uprightness described in sentence B.
• The correct sequence is DACB.

Coherent paragraph after rearrangement:

He was like the philanthropist who with altruistic motives builds model dwellings for the poor and finds that he has made a lucrative investment. He cannot prevent the satisfaction he feels in the ten percent which rewards the bread he had cast upon the waters, but he has an awkward feeling that it detracts somewhat from the savour of his virtue. Bateman Hunter knew that his heart was pure, but he was not quite sure how steadfastly, when he told her his story, he would endure the scrutiny of Isabel Longstaffe's cool grey eyes. They were far-seeing and wise. She measured the standards of others by her own meticulous uprightness and there could be no greater censure than the cold silence with which she expressed her disapproval of a conduct that did not satisfy her exacting code. There was no appeal from her judgement, for, having made up her mind, she never changed it.

The correct answer is Option 4.

Key Points

• The paragraph follows a narrative structure, moving from a general introduction about learning fables to the specific plot and dialogue of a famous story.
• Sentence D is the first sentence in the sequence as it provides a direct link to S1 by identifying a specific fable from the collection mentioned:
• 'Among those I learnt was The Ant and The Grasshopper which is devised to bring home to the young the useful lesson that in an imperfect world industry is rewarded and giddiness punished.'
• Sentence A follows D because it introduces the primary setting and the initial actions of the two main characters within that specific fable:
• 'In this admirable fable... the ant spends a laborious summer gathering its winter store, while the grasshopper sits on a blade of grass singing to the sun.'
• Sentence B is the third sentence as it advances the timeline to winter and describes the consequence of the characters' previous actions:
• 'Winter comes and the ant is comfortably provided for, but the grasshopper has an empty larder: he goes to the ant and begs for a little food.'
• Sentence C is the fourth sentence as it prepares the reader for the climax of the story, which is the ant's verbal response:
• 'Then the ant gives him her classic answer:'
• The fixed sentence S2 provides the actual dialogue introduced by sentence C: 'What were you doing in the summertime?'
• The correct sequence is DABC.

Coherent paragraph after rearrangement:

'When I was a very small boy I was made to learn by heart certain of the fables of La Fontaine, and the moral of each was carefully explained to me. Among those I learnt was The Ant and The Grasshopper which is devised to bring home to the young the useful lesson that in an imperfect world industry is rewarded and giddiness punished. In this admirable fable (I apologize for telling something which everyone is politely, but inexactly, supposed to know) the ant spends a laborious summer gathering its winter store, while the grasshopper sits on a blade of grass singing to the sun. Winter comes and the ant is comfortably provided for, but the grasshopper has an empty larder: he goes to the ant and begs for a little food. Then the ant gives him her classic answer: What were you doing in the summertime?'