The logic followed here is:

GFBE is related to FEAD

AZVY is related to ZYUX

Similarly,

CBXA is related to

Thus, CBXA is related to BAWZ.

Hence, the correct answer is "Option 3".

The logic followed here is:

Thus, 'SZJ' will be the next term in the series.

Hence, the correct answer is "Option 2".

The possible venn diagram:

Some cars are Petrol and Electric

Hence, the correct answer is "Option 3".

The least possible venn diagram:

Conclusions:

(I): Some balls are plastic → True(As Some balls are toys, All toys are plastic. so, Some balls are plastic holds true)

(II): No toy is water → True( All toys are plastic, No plastic is water. so, No toy is water is definitely true)

Thus, Both conclusions (I) and (II) follow. 

Hence, the correct answer is "Option 3".

Given:

In row 1, G, L, O and F are seated and all of them are facing south.

In row 2, B, E, S and T are seated and all of them are facing north.

Thus, each person faces another person from the other row.

No one sits to the left of S. No one sits to the left of L.

Only one person sits between T and S.

The one facing E sits second to the right of L, means the person sits second to the right of L who facing E.

O sits second to the right of G.

Thus, O and B sitting at extreme ends of the rows.

Hence, the correct answer is "Option 4".

The embedded figure is:

Hence, the correct answer is "Option 4".

The logic followed here is:

DGHK is related to ADEH

And,

MQTU is related to JNQR

Similarly,

HLQR is related to

Thus, HLQR is related to 'EINO'.

Hence, the correct answer is "Option 2".

Given:

Arrange Letters in English Alphabetical Order:

The letters in "ROTCHES" are: C, E, H, O, R, S, T.

Original Word:  R  O  T   C   H   E  S

Updated Word: C  E  H  O   R   S  T

Thus, no letters remain in their original positions after arranging the word "ROTCHES" in alphabetical order.

Hence, the correct answer is "Option 2".

Given:

Seven people, E, F, G, H, K, L and M are sitting in a row, facing north .

No one sits to the right of M. Only two people sit between M and F.

F sits to the immediate left of L.

Only three people sit between E and L.

H sits to the immediate right of G.

Thus, 'two' people sit between K and H.

Hence, the correct answer is "Option 1".

The logic followed here is:

Thus, 173 will be the next number in the series.

Hence, the correct answer is "Option 3".

The logic followed here is:

Thus, ILJOP is the missing letters.

Hence, the correct answer is "Option 2".

The figure completes the series:

Hence, the correct answer is "Option 4".

The given dice:

Logic: If two dice have the same two face values in the given image then the third number is opposite to each other.

As 8 and 9 are common in both dice, then 7 and 9 are opposite to each other.

Hence, the correct answer is "Option 4".

The given coded language is:

Thus, the code for A is '^'.

Hence, the correct answer is "Option 3".

The logic followed here is:

Logic: Sum of letter position × 2 = Number.

'NBSF' is coded as '82'

'IMSR' is coded as '118'

Similarly,

 'AYLC' is coded as

Hence, the correct answer is "Option 4".

The paper appear when unfolded:

Hence, the correct answer is "Option 4".

The logic followed here is:

Thus, 690 will be the next number in the series.

Hence, the correct answer is "Option 4".

BODMAS Rule:

According to the question, the signs are interchanged as follows:

Now,

Given e×pression: 48 × 3 − 16 + 6 ÷ 3 = ?

After interchanging the specified signs:

⇒ 48 ÷ 3 + 16 − 6 × 3

Perform operations according to BODMAS/PEMDAS:

⇒ 48 ÷ 3 + 16 − 6 × 3

⇒ 16 + 16 − 6 × 3

⇒ 16 + 16 − 18

⇒ 32 − 18

⇒ 14

Hence, the correct answer is "Option 4".

Decoding symbols:

Given: E + F x G - H ÷ I

E + F → E is the daughter of F.

F x G → F is the sister of G.

G - H → G is the brother of H.

H ÷ I → H is the son of I.

Thus, G is the mother's brother of E.

Hence, the correct answer is "Option 1".

The Correct answer is Chhau.

Key Points

• Chhau is a traditional dance form from Eastern India, primarily performed in the states of Odisha, Jharkhand, and West Bengal.
• The dance is recognized by UNESCO as an element of the Representative List of Intangible Cultural Heritage of Humanity in the year 2010.
• It is a unique dance form that combines elements of martial arts, tribal traditions, and folk culture.
• Chhau dance is performed during major festivals, especially during Chaitra Parva, which is celebrated in the month of April.
• The dance is known for its elaborate masks (used in Purulia Chhau) and vibrant costumes, which depict characters from Hindu epics like the Ramayana and Mahabharata.
• There are three distinct styles of Chhau dance: Purulia Chhau (West Bengal), Seraikella Chhau (Jharkhand), and Mayurbhanj Chhau (Odisha), each with its own unique characteristics.
• The dance is often accompanied by traditional folk music played on instruments like the dhol, dhamsa, and shehnai.
• Chhau is not just a cultural expression but also a means of storytelling that conveys mythological tales and local folklore.

Additional Information

• Garba
• Garba is a popular dance form from the state of Gujarat, performed during the festival of Navratri.
• It is primarily a community dance where participants move in a circular formation around an earthen lamp or a picture of a deity.
• The dance is accompanied by traditional Gujarati folk songs and rhythmic clapping.
• Bihu
• Bihu is a traditional dance form of Assam, performed during the Bohag Bihu festival, which marks the Assamese New Year.
• The dance is known for its energetic movements and vibrant costumes.
• It is accompanied by traditional Assamese instruments like the dhol, pepa, and gogona.
• Lavani
• Lavani is a traditional dance form from the state of Maharashtra, performed to the beats of dholki (a percussion instrument).
• It is known for its expressive gestures, fast-paced rhythm, and sensuous movements.
• Lavani plays a significant role in Maharashtrian folk theatre and is often performed to narrate stories or social themes.

The Correct answer is The fat in groundnut releases oil.

Key Points

• Groundnuts are rich in fat content, specifically natural oils.
• When groundnuts are crushed in a grinder, the mechanical pressure causes the natural fats to release as oil.
• This oil lining can be observed on the walls of the grinder due to the high oil concentration in groundnuts.
• In contrast, cumin seeds have a significantly lower fat content, which is why no oil is released when they are ground.
• The difference lies in the chemical composition of groundnuts and cumin. Groundnuts are a source of edible oil, while cumin seeds are primarily used for their aromatic compounds.
• This phenomenon is a direct result of the oil extraction process, which is naturally triggered by grinding high-fat content foods like groundnuts.
• Understanding this difference is crucial in cooking and food processing, as it explains why some ingredients release oil when processed, while others do not.

Additional Information

• Cumin was of bad quality
• The quality of cumin does not determine whether oil will be released during grinding. The absence of oil release is due to the low fat content in cumin, not its quality.
• The protein in groundnut releases oil
• Proteins do not release oil. Oils are derived from the fat content, not proteins, as proteins are primarily involved in structural and metabolic functions in food.
• The groundnut was not dried
• Drying affects moisture levels but does not impact the oil release significantly. The release of oil is primarily due to the high fat content in groundnuts, not their drying state.

The correct answer is Rigveda.

Key Points

• Sukta refers to the hymns or mantras that are part of the Rigveda.
• The Rigveda is the oldest Vedic text and one of the most important scriptures of ancient Indian literature.
• It consists of 1028 hymns (Suktas), divided into 10 mandalas (books).
• The hymns are primarily dedicated to various deities such as Agni, Indra, Varuna, and Soma.
• The Rigveda provides insights into the social, religious, and economic conditions of the early Vedic period.
• The hymns were composed in Vedic Sanskrit and were orally transmitted for centuries before being written down.
• The focus of the hymns is on invoking divine forces for blessings, prosperity, and protection.
• The Rigveda is considered the foundation of the other three Vedas: Samaveda, Yajurveda, and Atharvaveda.

Additional Information

• Atharvaveda
• The Atharvaveda is the fourth Veda and contains hymns, spells, and incantations for practical purposes such as healing, protection, and success in life.
• It focuses on everyday life and includes topics such as medicine, rituals, and magic.
• Samaveda
• The Samaveda consists of hymns from the Rigveda, but they are set to musical notations and are meant to be sung during rituals and sacrifices.
• It is often referred to as the "Veda of Melodies."
• Yajurveda
• The Yajurveda contains hymns and mantras necessary for performing Vedic rituals and sacrifices.
• It is divided into two main categories: Shukla (White) Yajurveda and Krishna (Black) Yajurveda.

The Correct answer is Wed Feb 01 2023 00:00:00 GMT+0530 (India Standard Time)

Key Points

• The Khelo India Winter Games is a part of the Government of India's initiative to promote sports culture in the country.
• The 3rd edition of the Khelo India Winter Games was held in Gulmarg, Jammu & Kashmir, from February 10–14, 2023.
• This event was organized by the Ministry of Youth Affairs and Sports, in collaboration with the Jammu and Kashmir Sports Council and the Winter Games Association of Jammu and Kashmir.
• The games aimed at promoting winter sports such as skiing, snowboarding, ice hockey, and mountaineering while encouraging participation from athletes across India.
• This edition witnessed participation from over 1500 athletes from across the country.
• The event aligns with the Government's vision under the Khelo India Scheme to identify and nurture talented athletes and promote sports infrastructure.

Additional Information

• Khelo India
• Khelo India Youth Games is a National Programme for Development of Sports.
• It aims to improve sports at a young age and identify talent.
• It is held in January or February for two categories such as
• Under-17 years school students
• Under-21 college students
• The organisation is headquartered in New Delhi.
• Prime Minister Narendra Modi inaugurated it.

The Correct answer is Reduced electricity costs for the private sector.

Key Points

• The PM – Surya Ghar: Muft Bijli Yojana is primarily aimed at providing free electricity to households, promoting renewable energy adoption, and reducing the electricity costs for the government.
• It is a government initiative designed to enhance the use of solar energy in households and support the vision of a more sustainable future.
• This scheme emphasizes the use of solar panels to generate electricity, reducing dependency on conventional energy sources.
• While the program benefits households and the government, it does not specifically aim to reduce electricity costs for the private sector.
• The focus is largely on the citizens and public sector, making electricity affordable and accessible for common people.

Additional Information

• India targets to achieve 500 GW of non-fossil fuel-based energy capacity by 2030, with solar energy playing a crucial role.
• Initiatives like the PM Surya Ghar: Muft Bijli Yojana have boosted the growth of solar capacity, particularly in the rooftop segment.
• The increase in solar energy capacity is supported by substantial investments and policy reforms aimed at enhancing the clean energy infrastructure.
• Solar energy's significant capacity underlines its pivotal role in India's renewable energy portfolio and its contribution to meeting global clean energy commitments​

The Correct answer is Assam.

Key Points

• Assam is the most populous state in the northeastern region of India, as per the Census of India, 2011.
• The total population of Assam as per the 2011 Census was approximately 31.2 million.
• Assam is known for its tea plantations, biodiversity, and the Brahmaputra River, which flows through the state.
• It is bordered by states like Arunachal Pradesh, Nagaland, Manipur, Mizoram, Tripura, and Meghalaya, as well as Bangladesh and Bhutan.
• The state has a rich cultural heritage and is home to various ethnic groups, languages, and traditions.
• Guwahati, the largest city in Assam, is a major hub for the region, and Dispur serves as its capital.
• Assam's economy is largely dependent on agriculture, tea production, oil, and natural gas.
• The state also plays a crucial role in India's Act East Policy, enhancing connectivity with Southeast Asian countries.

Additional Information

• Manipur
• Manipur is a northeastern state known for its natural beauty and culture.
• It has a population of approximately 2.7 million as per the 2011 Census.
• The state is famous for its Loktak Lake and the endangered Sangai deer.
• Mizoram
• Mizoram is one of the least populous northeastern states, with a population of around 1.09 million as per the 2011 Census.
• The state is known for its lush green hills and vibrant culture.
• Arunachal Pradesh
• Arunachal Pradesh is the largest state in the northeast by area but has a sparse population of about 1.38 million as per the 2011 Census.
• The state is known for its mountains, rivers, and diverse tribal communities.

The Correct answer is 16 years.

Key Points

• In the 2014 Asian Games, India won the gold medal in the men’s hockey tournament after a gap of 16 years. Their previous gold medal victory was in the year 1998.
• The final match in 2014 was played against Pakistan, which India won in a dramatic penalty shootout with a score of 4-2.
• This victory marked a significant achievement for India as it ended a long wait for gold in the Asian Games hockey tournament.
• The win also secured India a direct qualification for the 2016 Rio Olympics, adding to its importance.
• Indian men’s hockey has a rich history, being one of the most successful teams in the world, with victories in multiple Olympic Games and Asian Games.
• The team's resurgence in 2014 underlined their commitment to regaining their dominance in the sport.
• India’s victory in the 2014 Asian Games was part of a broader effort to revive its traditional strength in hockey, which included improved training facilities, better coaching, and an emphasis on fitness and strategy.

Additional Information

• Key Points Related to Indian Hockey
• The Indian men’s hockey team has historically been one of the most successful teams in the world, with a record of 8 Olympic gold medals.
• The Asian Games hockey tournament was introduced in 1958, and India has been a dominant force in this competition as well.
• India’s win in the 2014 Asian Games was its third gold medal in the history of the competition, the previous ones being in 1966 and 1998.
• The victory against Pakistan in 2014 was especially significant, as the two nations share a fierce rivalry in hockey.
• The Asian Hockey Federation oversees hockey competitions in Asia, including the Asian Games hockey tournaments.
• India's success in recent years in international hockey tournaments has been supported by organizations like Hockey India, which governs the sport in the country.

The Correct answer is The current flow is proportional to potential difference and inversely proportional to resistance.

Key Points

• This formula is widely known as Ohm's Law, named after Georg Simon Ohm, a German physicist and mathematician.
• It states that the current (I) flowing through a conductor between two points is directly proportional to the voltage (V) across the two points and inversely proportional to the resistance (R) of the conductor.
• The formula is expressed mathematically as I = V/R, where:
• I: Current in amperes
• V: Voltage in volts
• R: Resistance in ohms
• Ohm's Law is crucial for understanding and analyzing electrical circuits, as it provides a relationship between the three main electrical parameters.
• This law is applicable to linear circuits, where the resistance remains constant regardless of the voltage or current.
• Georg Simon Ohm published his findings in the year 1827, revolutionizing the field of electrical engineering.
• Ohm's Law is widely used in practical applications such as designing circuits, calculating power dissipation, and ensuring the safety of electrical components.

Additional Information

• The magnitude of EMF induced in the coil is directly proportional to the rate of change of magnetic flux associated with that coil.
• This statement is related to Faraday's Law of Electromagnetic Induction.
• Faraday's law explains how a changing magnetic field induces an electromotive force (EMF) in a conductor.
• It is widely applied in the design of electric generators, transformers, and induction motors.
• The sum of all currents entering a junction must equal the sum of all currents leaving the junction.
• This principle is known as the Kirchhoff’s Current Law (KCL).
• It is based on the law of conservation of charge, ensuring that no charge is lost at a junction.
• KCL is essential for analyzing complex electrical networks.
• The total electric flux through a closed surface is proportional to the charge enclosed.
• This statement refers to Gauss’s Law, a fundamental law in electromagnetism.
• Gauss’s Law is used to calculate the electric field due to symmetric charge distributions such as spheres and cylinders.
• It is also integral to understanding the behavior of electric fields in various applications.

The Correct answer is Firms sector.

Key Points

• The Firms sector comprises all business entities, corporations, and partnerships engaged in producing goods and services for profit.
• This sector is a critical component of the economic system, as it drives production, employment, and economic growth.
• It includes small, medium, and large enterprises across various industries such as manufacturing, services, agriculture, and technology.
• The firms in this sector are responsible for allocating resources efficiently to produce goods and services that meet consumer demands.
• It interacts with other sectors, including the household sector (as providers of labor and consumers of goods) and the government sector (through taxes and regulations).
• Examples of entities in the firms sector include private companies, public corporations, sole proprietorships, and partnerships.
• The firms sector plays a key role in the market economy by engaging in competition, innovation, and investment.
• In macroeconomic models, the firms sector is often depicted as producing goods and services that are sold in the product market and hiring labor from the household sector in the labor market.

Additional Information

• Government sector
• The government sector includes local, state, and national governments responsible for providing public goods and services, enforcing laws, and regulating the economy.
• This sector collects taxes and uses the revenue for public expenditure such as infrastructure, education, and healthcare.
• It does not include private business entities or corporations.
• Household sector
• The household sector consists of individuals and families who act as consumers of goods and services and provide labor to the firms sector in return for wages.
• This sector does not include business entities or partnerships.
• Foreign sector
• The foreign sector represents trade and economic interactions between a country and the rest of the world, including exports, imports, and foreign investments.
• It does not specifically pertain to domestic corporations or business entities.

The Correct answer is Seventh Schedule.

Key Points

• The Seventh Schedule of the Indian Constitution deals with the division of powers between the Union and State Governments.
• It contains three lists:
• Union List: Includes subjects like defense, foreign affairs, atomic energy, banking, etc., which are under the exclusive legislative jurisdiction of the Union Government.
• State List: Includes subjects like police, public health, agriculture, and fisheries, which are under the exclusive legislative jurisdiction of State Governments.
• Concurrent List: Includes subjects like education, forest, trade unions, marriage, and adoption, where both Union and State Governments can legislate.
• The division of powers as per the Seventh Schedule ensures a federal structure of governance in India.
• This Schedule is a fundamental part of the Constitution to maintain the principle of decentralization and avoid conflicts between different levels of government.
• The Articles 245 to 246 in the Constitution provide the framework for the legislative powers of the Union and States as defined in the Seventh Schedule.
• It plays a crucial role in maintaining the balance of power in India's federal system.

Additional Information

• Fifth Schedule
• The Fifth Schedule deals with the administration and control of Scheduled Areas and Scheduled Tribes in India.
• It includes provisions for the establishment of a Tribal Advisory Council in states with Scheduled Areas.
• The President can declare any area as a Scheduled Area and make necessary rules for its governance.
• Sixth Schedule
• The Sixth Schedule pertains to the administration of tribal areas in the northeastern states of India, such as Assam, Meghalaya, Tripura, and Mizoram.
• It provides for the creation of Autonomous District Councils to govern these areas.
• These councils have legislative, administrative, and judicial powers to protect the rights and culture of tribal communities.
• Eighth Schedule
• The Eighth Schedule deals with the languages recognized by the Constitution of India.
• It initially listed 14 languages, but now includes 22 languages after subsequent amendments.
• The schedule aims to promote and protect the linguistic diversity of India.

The Correct answer is Kerala.

Key Points

• Kalamandalam Kshemavathy Pavithran is a renowned Indian classical dancer, particularly known for her expertise in Mohiniyattam.
• Mohiniyattam is a classical dance form that originated in the state of Kerala and is known for its graceful movements and feminine charm.
• She has been recognized for her outstanding contributions to the field of classical dance with the prestigious Padma Shri award, one of the highest civilian honors in India.
• Kalamandalam Kshemavathy was trained in Kathakali and Bharatanatyam before she specialized in Mohiniyattam, showcasing her versatility in Indian classical dance forms.
• Her performances reflect the rich cultural heritage of Kerala, blending tradition with innovation in her artistic expression.
• The state of Kerala is globally recognized for its contribution to Indian classical arts, including dance, music, and literature.
• Kalamandalam Kshemavathy has also made significant contributions as a teacher and choreographer, inspiring the next generation of dancers.

Additional Information

• Karnataka
• Karnataka is known for its classical dance form Bharatanatyam and the folk dances such as Yakshagana.
• Yakshagana is a unique blend of dance, music, and acting, known for its elaborate costumes and mythological themes.
• The state is also home to Hampi, a UNESCO World Heritage site, showcasing rich cultural and architectural heritage.
• Tamil Nadu
• Tamil Nadu is the birthplace of Bharatanatyam, one of the oldest classical dance forms in India.
• It is also known for its contribution to Carnatic music, a major genre of Indian classical music.
• The state boasts magnificent temple architecture, such as the Brihadeeswarar Temple, which often serves as a backdrop for classical dance performances.
• Telangana
• Telangana is known for its folk art forms, such as Perini Shivatandavam, a vigorous dance dedicated to Lord Shiva.
• The state is also famous for its Kuchipudi dance form, which has its roots in the neighboring state of Andhra Pradesh but is practiced widely in Telangana.
• The Kakatiya dynasty of Telangana is renowned for its cultural and architectural contributions, including the iconic Ramappa Temple, a UNESCO World Heritage site.

The Correct answer is Gajendra Singh Shekhawat.

Key Points

• Gajendra Singh Shekhawat is an Indian politician affiliated with the Bharatiya Janata Party (BJP).
• He represents the Jodhpur constituency in Rajasthan in the Lok Sabha (lower house of Parliament).
• He has been actively involved in politics and governance and is known for his work in the field of water resource management and rural development.
• Before being appointed as the Union Minister of Culture, Gajendra Singh Shekhawat held the portfolio of Union Minister of Jal Shakti, where he spearheaded initiatives like the Jal Jeevan Mission.
• His appointment as the Union Minister of Culture in June 2024 is significant as he is expected to focus on preserving and promoting India’s rich cultural heritage and traditions.
• His leadership in the Ministry of Culture aligns with India's vision to strengthen its soft power globally by showcasing its historical landmarks, art, music, literature, and cultural diversity.

Additional Information

• Jual Oram
• Jual Oram is an Indian politician from Odisha and a member of the Bharatiya Janata Party (BJP).
• He has served as the Union Minister of Tribal Affairs in the past, focusing on the welfare of tribal communities in India.
• He represents the Sundargarh constituency in Odisha in the Lok Sabha.
• Giriraj Singh
• Giriraj Singh is an Indian politician and a member of the BJP.
• He has served as the Union Minister of Rural Development and Panchayati Raj.
• He is known for his work in implementing policies for grassroots-level governance and rural development in India.
• Kinjarapu Rammohan Naidu
• Kinjarapu Rammohan Naidu is an Indian politician affiliated with the Telugu Desam Party (TDP).
• He represents the Srikakulam constituency in Andhra Pradesh in the Lok Sabha.
• He is one of the youngest parliamentarians and is recognized for his active participation in parliamentary debates and youth-centric initiatives.

The Correct answer is Bihar.

Key Points

• According to the Sample Registration System (SRS) 2020, Bihar had the highest natural growth rate in population among Indian states.
• The natural growth rate is calculated as the difference between the crude birth rate (CBR) and the crude death rate (CDR).
• Bihar consistently reports one of the highest birth rates in India, contributing significantly to its high natural growth rate.
• The state has a young population, which leads to a higher rate of births compared to deaths.
• Despite efforts to promote family planning and reduce fertility rates, the state’s socio-economic factors and cultural practices influence its population growth.
• Bihar's high population growth presents challenges related to infrastructure, healthcare, and education, but also provides a large workforce for the state and nation.
• The high growth rate is a key factor in discussions around population policies and sustainable development in India.

Additional Information

• Uttar Pradesh
• Uttar Pradesh has a high population and is the most populous state in India, but its natural growth rate is slightly lower than Bihar’s.
• The state is actively working on reducing its fertility rate through various government programs.
• Madhya Pradesh
• Madhya Pradesh also contributes significantly to India's population but has a relatively lower birth rate compared to Bihar.
• The state is focusing on improving its health infrastructure to address population-related challenges.
• Rajasthan
• Rajasthan has a geographically large area but a moderate population density compared to Bihar and Uttar Pradesh.
• The state has been implementing measures to control population growth by improving education and awareness.

The Correct answer is They integrate production and markets across different countries.

Key Points

• Multinational Corporations (MNCs) play a significant role in the globalisation process by integrating production and markets across various countries.
• MNCs establish production units in multiple countries, enabling the creation of global supply chains that connect diverse economies.
• They facilitate the flow of capital, technology, goods, and services, enhancing economic interdependence among nations.
• By investing in different countries, MNCs bring in foreign direct investment (FDI), which contributes to the economic development of host countries.
• MNCs often encourage technological innovation and the adoption of best practices, improving the efficiency and competitiveness of local industries.
• They enable access to global markets, helping businesses in host countries expand their operations and reach a larger audience.
• MNCs create employment opportunities in host countries by setting up new factories, offices, and subsidiaries.
• Their operations promote cultural exchange and the sharing of ideas, fostering a more interconnected world.
• Globalisation through MNCs has led to the availability of diverse products and services in international markets, enriching consumer choices.
• Examples of prominent MNCs include Apple, Microsoft, Coca-Cola, and Toyota, which operate across multiple countries and contribute to global interconnectedness.

Additional Information

• They regulate national policies on trade.
• MNCs do not have the authority to directly regulate national trade policies. This responsibility lies with governments and international organisations such as the World Trade Organization (WTO).
• While MNCs may influence trade policies indirectly through lobbying or economic impact, they do not possess regulatory power.
• They promote local businesses only.
• MNCs do not exclusively promote local businesses. Instead, they operate globally, often competing with local businesses or collaborating with them for mutual benefit.
• In some cases, MNCs may overshadow local businesses due to their larger scale and resources.
• They discourage international trade.
• MNCs do not discourage international trade; rather, they facilitate it by creating cross-border supply chains and expanding global markets.
• They promote trade by connecting producers and consumers across different countries.

The Correct answer is Flute.

Key Points

• Sikkil Mala Chandrasekhar is a renowned Indian classical musician who specializes in playing the Flute.
• She is a disciple of her mother, Sikkil Neela, and aunt, Sikkil Kunjumani, collectively known as the Sikkil Sisters, who are legendary flautists.
• Sikkil Mala Chandrasekhar is known for her expertise in Carnatic music, a traditional form of Indian classical music primarily performed in the southern states of India.
• The Flute is a wind instrument that holds significant importance in Indian classical music, particularly in compositions associated with Lord Krishna.
• She has performed at numerous prestigious venues and festivals globally and is celebrated for her technical brilliance and emotional depth in her music.
• Her contributions to Indian classical music have earned her various accolades and recognition in the field.
• The Flute plays a vital role in Carnatic music, often used to produce intricate melodies and improvisations.

Additional Information

• Tabla
• The Tabla is a popular percussion instrument in Indian classical music, consisting of two drums: the dayan (right drum) and bayan (left drum).
• It is primarily associated with Hindustani classical music and is used for rhythmic accompaniment in various genres.
• Prominent tabla players include Zakir Hussain and Ustad Alla Rakha.
• Pakhawaj
• The Pakhawaj is a barrel-shaped percussion instrument used in Dhrupad, a genre of Hindustani classical music.
• It is considered an older version of the tabla and is commonly used in traditional Indian music performances.
• It produces deep and resonant sounds suitable for slower compositions.
• Rudra Veena
• The Rudra Veena is a string instrument associated with Dhrupad music.
• It is considered one of the oldest instruments in Indian classical music and is known for its deep and meditative tones.
• Prominent players include Zia Mohiuddin Dagar, who popularized the instrument in recent times.

The correct answer is Lord Linlithgow.

Key Points

• The ‘August Offer’ was made by Lord Linlithgow, the then Viceroy of India, in August 1940.
• The offer was an attempt by the British government to secure Indian support during World War II.
• It promised to grant Dominion Status to India after the war.
• It also proposed to expand the Executive Council of the Viceroy, including more Indian members.
• The British government assured that a Constituent Assembly would be formed to frame the future Constitution of India, with provisions for minorities' consent.
• The Indian National Congress rejected the offer as it fell short of their demand for complete independence.
• The Muslim League found the offer insufficient and continued to press for the creation of Pakistan.

Additional Information

• Neville Chamberlain
• Neville Chamberlain was the Prime Minister of the United Kingdom from 1937 to 1940.
• He is best known for his policy of appeasement towards Nazi Germany, particularly for signing the Munich Agreement in 1938.
• Chamberlain resigned in May 1940, succeeded by Winston Churchill.
• Clement Attlee
• Clement Attlee was the Prime Minister of the United Kingdom from 1945 to 1951.
• He played a crucial role in granting independence to India in 1947.
• His government also established the National Health Service (NHS) in the UK.
• Winston Churchill
• Winston Churchill was the Prime Minister of the United Kingdom during World War II, serving from 1940 to 1945 and again from 1951 to 1955.
• Churchill was known for his strong opposition to granting independence to India and referred to Mahatma Gandhi in derogatory terms.
• His leadership during the war earned him widespread recognition as a wartime leader.

The Correct answer is Tropical wet and dry climate.

Key Points

• Deciduous forests and tree-shredded grasslands are typically found in regions with a Tropical wet and dry climate, also known as the Savanna climate.
• This climate is characterized by distinct wet and dry seasons, which influence vegetation patterns.
• The presence of a long dry season causes trees to shed their leaves to conserve water, forming deciduous forests.
• Tree-shredded grasslands are a common feature, where grasses dominate the landscape alongside scattered trees.
• This type of climate is usually found between tropical rainforest zones and semi-arid regions.
• Regions with a tropical wet and dry climate include parts of India, Africa, South America, and Australia.
• The climate supports a unique biodiversity, including species adapted to periodic droughts and seasonal rainfall.
• The soil in these regions is typically fertile but prone to erosion during heavy rains.
• Human activities like agriculture and livestock grazing are significant in these areas due to the vegetation patterns.

Additional Information

• Humid subtropical climate
• This climate is characterized by hot and humid summers and mild winters.
• It is found in regions such as Southeastern United States, parts of China, Japan, and India.
• The vegetation includes mixed forests and is not dominated by deciduous forests or grasslands like in the tropical wet and dry climate.
• Subtropical steppe climate
• This climate is semi-arid, with low rainfall and high temperatures.
• Vegetation consists of shrubs and grasses, but lacks dense forests.
• Regions with this climate include parts of Central Asia, Southwestern United States, and Australia.
• Warm temperate (mid-latitude) climate
• This climate is found in regions with moderate temperatures and seasonal rainfall.
• Vegetation includes mixed forests and grasslands, but it does not exhibit the distinct characteristics of tropical wet and dry climates.
• Examples of regions with this climate include Mediterranean countries and parts of California.

The Correct answer is Gudi Padwa.

Key Points

• Gudi Padwa marks the beginning of the Marathi New Year.
• It is celebrated on the first day of the Chaitra month (March-April) as per the Hindu lunar calendar.
• The festival is mainly observed in the state of Maharashtra and some parts of Goa.
• On this day, a Gudi (a bright yellow or saffron cloth adorned with garlands) is hoisted on a bamboo stick, symbolizing prosperity and victory.
• The festival holds religious and cultural importance as it is also believed to mark the day when Brahma created the universe.
• Traditional food items like Puran Poli and Shrikhand are prepared and enjoyed during the celebration.
• It is considered an auspicious day for starting new ventures or undertakings.

Additional Information

• Makar Sankranti
• Makar Sankranti is a harvest festival celebrated across India in the month of January.
• It marks the transition of the Sun into the Capricorn zodiac sign (Makara Rashi).
• This festival is associated with kite flying, sesame sweets (tilgul), and prayers to the Sun God.
• Ugadi
• Ugadi is celebrated as the New Year in the states of Karnataka, Andhra Pradesh, and Telangana.
• It is observed on the first day of the Chaitra month as per the Hindu lunar calendar.
• The festival involves the preparation of a special dish called Ugadi Pachadi, which symbolizes different emotions of life.
• Pongal
• Pongal is a harvest festival celebrated primarily in the state of Tamil Nadu.
• It is observed in the month of January and marks the beginning of the Sun's northward journey (Uttarayan).
• A special dish called Pongal is prepared using rice, milk, and jaggery during the festival.

The Correct answer is Agriculture and Industry sectors.

Key Points

• The First Five-Year Plan (1951-1956) in India focused on agriculture and irrigation development as the main priority. It was designed with an emphasis on agricultural production to address food shortages.
• This plan was heavily influenced by the Harrod-Domar model, which emphasizes the role of investment and savings in economic growth.
• The First Plan allocated 44.6% of its total budget to agriculture, irrigation, and community development.
• The Second Five-Year Plan (1956-1961) shifted focus toward the industrial sector. It aimed to establish a strong industrial base, particularly in heavy industries such as steel and machinery.
• The Second Plan was based on the Mahalanobis model, which advocated for rapid industrialization and a focus on capital goods.
• Key projects under these plans included the establishment of major dams like Bhakra Nangal (First Plan) and the expansion of industries like Bhilai Steel Plant (Second Plan).
• The combined focus on Agriculture in the First Plan and Industry in the Second Plan laid the foundation for India's socio-economic development.
• These plans were significant in addressing India's food security challenges and creating infrastructure for long-term industrial growth.

Additional Information

• Industry and Service Sectors
• This option is incorrect because the focus on service sectors did not emerge strongly in the early Five-Year Plans. Services became more prominent in later plans as the economy diversified.
• While industrial development was a focus in the Second Plan, the service sector was not prioritized during the initial plans.
• Agriculture and Service Sectors
• This option is incorrect as the First Plan focused primarily on agriculture, but the service sector was not emphasized during the first two plans.
• Service sectors gained importance in later decades when the Indian economy transitioned towards a more service-driven model.
• Agriculture and Foreign Sectors
• The foreign sector was not a direct focus in the early Five-Year Plans. The emphasis was on domestic development, including agriculture and industry.
• India's foreign trade and external sectors were addressed in later plans as globalization and liberalization policies emerged.

The Correct answer is Article 94.

Key Points

• Article 94 of the Indian Constitution deals with the vacation, resignation, and removal from the offices of the Speaker and Deputy Speaker of the House of the People (Lok Sabha).
• According to this article, the Speaker or Deputy Speaker must vacate their office in the following cases:
• When they cease to be a member of the House of the People.
• When they resign from their position by submitting a letter to another presiding officer.
• When they are removed from office by a resolution passed by a majority of all the members of the Lok Sabha.
• The resolution for removal requires a 14-day notice before being moved in the House.
• This article ensures the accountability and proper functioning of the offices of the Speaker and Deputy Speaker in India's parliamentary system.

Additional Information

• Article 70
• Article 70 of the Indian Constitution deals with the discharge of the functions of the President in certain contingencies.
• It empowers Parliament to make laws regarding how the functions of the President will be discharged in case of a vacancy in the office or if the President is unable to perform duties due to absence, illness, or any other reason.
• Article 101
• Article 101 lays down provisions regarding the vacation of seats, disqualifications, and dual membership in the Parliament.
• It prevents a person from being a member of both Houses of Parliament at the same time and addresses conditions for vacating a seat.
• Article 84
• Article 84 specifies the qualifications required to be elected as a member of Parliament.
• These include being a citizen of India, meeting the minimum age requirement, and other criteria prescribed by law.

Shortcut Trick

Let the Selling Price (SP) of 1 chair be 1 unit.

Total SP of 154 chairs = 154 units.

Profit = SP of 54 chairs = 54 units.

Cost Price (CP) = Total SP − Profit = 154 − 54 = 100 units.

Profit % = (Profit ÷ CP) × 100 = (54 ÷ 100) × 100 = 54%.

∴ The correct answer is 54%.

Alternate Method

Given:

Total chairs sold = 154

Profit = Selling Price (SP) of 54 chairs

Formula Used:

Profit = Total SP − Total Cost Price (CP)

Profit % = (Profit ÷ Total CP) × 100

CP = 100 Units

Profit = 54 Units

Total SP = 154 Units

Profit Analysis in SP Units

Calculations:

⇒ Let the Selling Price of 1 chair be 1 unit.

⇒ Total Selling Price of 154 chairs = 154 units.

⇒ Profit gained = SP of 54 chairs = 54 units.

⇒ Total Cost Price (CP) of 154 chairs = Total SP − Profit

⇒ CP = 154 − 54 = 100 units.

⇒ Profit % = (Profit ÷ CP) × 100

⇒ Profit % = (54 ÷ 100) × 100

⇒ Profit % = 54%

∴ The correct answer is 54%.

Additional Information

Profit/Loss on Selling Price

If profit is given equal to the selling price of 'x' articles, simply assume SP per article = 1 unit to easily find total CP as (Total SP − x).

Loss Equivalent to Selling Price

If there is a loss equal to the SP of 'x' articles, the Total Cost Price will be greater than the Total Selling Price. In that case, CP = Total SP + x.

Base of Profit/Loss Calculation

Unless specifically mentioned otherwise in the question, profit percentage or loss percentage must always be calculated on the base of Cost Price (CP).

Shortcut Trick

Value of 20% in fraction = 1/5

If Cost Price is 5 parts, Profit is 1 part, so Selling Price = 6 parts.

Given 5 parts = ₹520 ⇒ 1 part = 520 ÷ 5 = ₹104

Selling Price (6 parts) = 6 × 104 = 624

∴ The correct answer is ₹624.

Alternate Method

Given:

Cost Price (CP) = ₹520

Profit Percentage = 20%

Formula Used:

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

CP = ₹520 (100%)

• 20% Profit

SP = 120% = ₹624

Calculations:

⇒ SP = 520 × [(100 + 20) ÷ 100]

⇒ SP = 520 × (120 ÷ 100)

⇒ SP = 520 × 1.2

⇒ SP = 624

∴ The correct answer is ₹624.

Additional Information

Loss Formula

If an article is sold at a loss, the Selling Price (SP) is calculated as: SP = CP × [(100 − Loss%) ÷ 100].

Profit/Loss Base Rule

Profit and Loss percentages are always calculated on the Cost Price (CP) unless specifically stated otherwise.

Marked Price & Discount

When a discount is offered on the Marked Price (MP), the Selling Price (SP) becomes: SP = MP × [(100 − Discount%) ÷ 100].

Shortcut Trick

Required number = HCF of (First Number − Remainder 1) and (Second Number − Remainder 2)

Required number = HCF(943 − 7, 1957 − 1)

Required number = HCF(936, 1956)

Since 936 = 12 × 78 and 1956 = 12 × 163, and 163 is a prime number, their highest common factor is 12.

∴ The correct answer is 12.

Alternate Method

Given:

First number = 943, Remainder = 7

Second number = 1957, Remainder = 1

Formula Used:

Greatest number dividing x and y leaving remainders a and b = HCF of (x − a) and (y − b)

Calculations:

⇒ Number 1 = 943 − 7 = 936

⇒ Number 2 = 1957 − 1 = 1956

⇒ Prime factorization of 936 = 2³ × 3² × 13

⇒ Prime factorization of 1956 = 2² × 3 × 163

⇒ Common prime factors = 2² and 3

⇒ HCF = 2² × 3 = 4 × 3 = 12

∴ The correct answer is 12.

Additional Information

HCF for given Remainders

The greatest number that divides x, y, and z leaving remainders a, b, and c respectively is given by HCF of (x − a), (y − b), and (z − c).

HCF for Same Remainder

The greatest number that divides x, y, and z leaving the same remainder in each case is given by HCF of |x − y|, |y − z|, and |z − x|.

LCM for Same Remainder

The least number which when divided by x, y, and z leaves the same remainder r in each case is given by LCM(x, y, z) + r.

Relationship between HCF and LCM

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

Shortcut Trick

Let the initial expenditure on petrol be 100.

Due to a 40% increase in price, the expected expenditure becomes 140.

However, the actual new expenditure is only allowed to increase by 19%, making it 119.

Required reduction in consumption (calculated on the new base of 140) = 140 − 119 = 21.

Percentage reduction = (21 ÷ 140) × 100 = 15%.

∴ The correct answer is 15%.

Alternate Method

Given:

Price increase = 40%

Expenditure increase = 19%

Formula Used:

Expenditure = Price × Consumption

Base = 100

New Price = 140

New Exp = 119

Price +40%

Exp +19%

Reduce by 21

Calculations:

⇒ Let the initial price be 100 and the initial consumption be 100 units.

⇒ Initial Expenditure = 100 × 100 = 10000

⇒ New Price after 40% increase = 100 + 40 = 140

⇒ New Expenditure after 19% increase = 10000 × 1.19 = 11900

⇒ New Consumption = New Expenditure ÷ New Price

⇒ New Consumption = 11900 ÷ 140 = 85 units

⇒ Decrease in Consumption = Initial Consumption − New Consumption

⇒ Decrease in Consumption = 100 − 85 = 15 units

⇒ Percentage decrease = (15 ÷ 100) × 100 = 15%

∴ The correct answer is 15%.

Additional Information

1. Price-Consumption-Expenditure Rule

Total Expenditure = Price × Consumption. If expenditure is kept constant, an increase in price results in a proportionally inverse decrease in consumption.

2. Base Change Concept

Whenever a value is manipulated relative to a new changed value, the percentage change must always be calculated by dividing the absolute difference by the new base.

3. Percentage Decrease Formula

Percentage Decrease = (Decrease in Value ÷ Original Value) × 100.

Shortcut Trick

Total simple interest for 2 years at 5% per annum = 2 × 5% = 10%.

According to the given data, 10% of Principal = ₹524.

Principal (100%) = ₹524 × 10 = ₹5240.

∴ The correct answer is ₹5240.

Alternate Method

Given:

Simple Interest (SI) = ₹524

Time (T) = 2 years

Rate (R) = 5% per annum

Formula Used:

SI = (P × R × T) ÷ 100

Simple Interest Timeline

Start Year 1 Year 2

P = ?

• 5%

• 5%

• 5% SI

• 5% SI

Total SI = 10% = ₹524

Calculations:

⇒ 524 = (P × 5 × 2) ÷ 100

⇒ 524 = (P × 10) ÷ 100

⇒ 524 = P ÷ 10

⇒ P = 524 × 10

⇒ P = 5240

∴ The correct answer is ₹5240.

Additional Information

Compound Interest (CI)

In CI, interest is calculated on both the initial principal and the accumulated interest from previous periods. Formula: A = P(1 + R/100)^T.

Difference between SI and CI

For 2 years, the difference between Compound Interest and Simple Interest on a principal P is calculated directly using: D = P(R/100)².

Rule of 72

A mathematical shortcut used to estimate the number of years required to double an investment at a given annual fixed interest rate: Time ≈ 72 ÷ Rate.

Shortcut Trick

For 2 years, the direct relationship between Compound Interest (CI) and Simple Interest (SI) is given by the formula:

CI ÷ SI = (200 + R) ÷ 200

204 ÷ SI = (200 + 4) ÷ 200

204 ÷ SI = 204 ÷ 200

SI = 200

∴ The correct answer is ₹200.

Alternate Method

Given:

Rate (R) = 4% per annum

Time (T) = 2 years

Compound Interest (CI) = ₹204

Formula Used:

CI = P[(1 + R ÷ 100)² − 1]

SI = (P × R × T) ÷ 100

2-Year SI & CI Tree Method Breakdown

Principal (P) = 2500

4% Interest

1st Yr SI = 100

2nd Yr SI = 100

Int. on Int. = 4

Total CI = 100 + 100 + 4 = 204 | Total SI = 200

Calculations:

⇒ 204 = P[(1 + 4 ÷ 100)² − 1]

⇒ 204 = P[(26 ÷ 25)² − 1]

⇒ 204 = P[(676 ÷ 625) − 1]

⇒ 204 = P(51 ÷ 625)

⇒ P = (204 × 625) ÷ 51 = 4 × 625 = ₹2500

⇒ SI = (2500 × 4 × 2) ÷ 100

⇒ SI = ₹200

∴ The correct answer is ₹200.

Additional Information

Effective Rate Method

For 2 years at R%, Effective CI% = R + R + (R × R) ÷ 100. Effective SI% = 2R.

2-Year Difference Formula

Difference between CI and SI for 2 years = P × (R ÷ 100)².

Rule of 72

A quick formula to find the approximate number of years to double an investment at compound interest: Time ≈ 72 ÷ R.

Shortcut Trick

Increase in average age = 13 − 12 = 1 year.

Number of students originally = 40.

Teacher's age = New Average + (Initial Number of Students × Increase in Average)

Teacher's age = 13 + (40 × 1) = 53 years.

∴ The correct answer is 53.

Alternate Method

Given:

Average age of 40 students = 12 years.

Average age of 41 people (40 students + 1 teacher) = 13 years.

Formula Used:

Total Age = Average Age × Number of People

40 Students (Avg: 12)

Teacher

Combined Average: 13 years

Calculations:

⇒ Total age of 40 students = 40 × 12 = 480 years.

⇒ Total age of 41 people = 41 × 13 = 533 years.

⇒ Age of the teacher = (Total age of 41 people) − (Total age of 40 students)

⇒ Age of the teacher = 533 − 480

⇒ Age of the teacher = 53 years.

∴ The correct answer is 53.

Additional Information

New Member Age Formula

When a person joins a group, their age = New Average + (Old Number of Members × Change in Average).

Leaving Member Age Formula

When a person leaves a group, their age = Old Average + (New Number of Members × Change in Average).

Weighted Average

Combined Average = (n₁x₁ + n₂x₂) ÷ (n₁ + n₂), where n is count and x is the individual average.

Shortcut Trick

If A is r% more than B, then B is less than A by [r / (100 + r)] × 100%.

Here, Ravi's income is 24% more than Ram's, so r = 24.

Required percentage = [24 / (100 + 24)] × 100%

⇒ Required percentage = (24 / 124) × 100% = (6 / 31) × 100% = 600/31%

∴ The correct answer is 600/31%.

Alternate Method

Given:

Ravi's income is 24% more than Ram's income.

Formula Used:

Percentage less = (Difference / Base Value) × 100

Ram's Income (100)

Ravi's Income (124)

+24

Comparison Base = Ravi's Income (124)

Calculations:

⇒ Let Ram's income be 100 units.

⇒ Ravi's income = 100 + 24 = 124 units.

⇒ Difference between their incomes = 124 − 100 = 24 units.

⇒ We need to find the percentage by which Ram's income is less than Ravi's income.

⇒ Required percentage = (Difference / Ravi's income) × 100

⇒ Required percentage = (24 / 124) × 100

⇒ Required percentage = (6 / 31) × 100 = 600/31%

∴ The correct answer is 600/31%.

Additional Information

Base Change in Percentage

If A is x% less than B, then B is [x / (100 − x)] × 100% more than A. Reversing the base changes the percentage magnitude.

Successive Percentage Change

If a value is successively increased or decreased by a% and b%, the net percentage change is given by the formula (a + b + ab/100)%.

Fraction to Percentage Conversion Method

Converting percentage rates to fractions directly accelerates calculations. For example, 24% = 24/100 = 6/25. If value A is 6/25 more than B, then value B is 6/(25 + 6) = 6/31 less than A. Consequently, 6/31 × 100 = 600/31%.

Shortcut Trick

For any two terms A and B, their third proportional is given directly by C = B² ÷ A.

Given B = x^0.25 × y^0.25 × z^0.25, so B² = x^0.5 × y^0.5 × z^0.5.

Given A = x^2.5 × y^−1.5 × z^3.5.

Divide B² by A to get C = x^{(0.5 − 2.5)} × y^{(0.5 − (−1.5))} × z^{(0.5 − 3.5)}.

Simplifying the powers directly gives C = x⁻² × y² × z⁻³ = y² / (x²z³).

∴ The correct answer is y² / (x²z³).

Alternate Method

Given:

First term (A) = (x^2.5 ÷ y^1.5) × z^3.5 = x^2.5y^−1.5z^3.5

Second term (B) = x^0.25 × (y^0.25 ÷ z^−0.25) = x^0.25y^0.25z^0.25

Let the third proportional be C.

Formula Used:

For a third proportional C to terms A and B, the relation is A : B :: B : C.

Term A :

Term B ::

Term C

Proportion: A : B = B : C Formula: C = B² / A

Calculations:

⇒ C = B² ÷ A

⇒ B² = (x^0.25y^0.25z^0.25)²

⇒ B² = x^0.5y^0.5z^0.5

⇒ C = (x^0.5y^0.5z^0.5) ÷ (x^2.5y^−1.5z^3.5)

⇒ C = x^{(0.5 − 2.5)} × y^{(0.5 − (−1.5))} × z^{(0.5 − 3.5)}

⇒ C = x⁻² × y² × z⁻³

⇒ C = y² ÷ (x²z³)

∴ The correct answer is y² / (x²z³).

Additional Information

Types of Proportions

If a : b :: c : d, then a and d are extremes, b and c are means. Product of extremes = Product of means (a × d = b × c).

Mean Proportional

The mean proportional between two numbers a and b is given by the square root of their product: √(a × b).

Fourth Proportional

The fourth proportional d to three numbers a, b, and c is given by d = (b × c) ÷ a.

Duplicate & Sub-duplicate Ratio

The duplicate ratio of a : b is a² : b². The sub-duplicate ratio is √a : √b.

Given:

Evaluate: (-9) - (-60) ÷ (-15) + (-3) × 6

Calculation:

Expression: (-9) - (-60) ÷ (-15) + (-3) × 6

Solve Division and Multiplication first:

(-9) - [(-60) ÷ (-15)] + (-3) × 6

⇒ (-9) - (4) + (-3) × 6

⇒ -9 - 4 - 18 

⇒ -13 - 18

⇒ -31

∴ The correct answer is option (3).

Shortcut Trick

The area of a rhombus can be determined directly by halving the product of its diagonals.

Area = (d₁ × d₂) ÷ 2

Area = (4 × 6) ÷ 2 = 12

∴ The correct answer is 12 m².

Alternate Method

Given:

Length of first diagonal (d₁) = 4 m

Length of second diagonal (d₂) = 6 m

Formula Used:

Area of a rhombus = ½ × d₁ × d₂

d1 = 4 m d2 = 6 m Area of Rhombus

Calculation:

⇒ Area = ½ × 4 × 6

⇒ Area = 2 × 6

⇒ Area = 12 m²

∴ The correct answer is 12 m².

Additional Information

Perimeter of a Rhombus

The perimeter of a rhombus is calculated as 4 × side length, or P = 2 × √(d₁² + d₂²).

Side of a Rhombus

Since the diagonals of a rhombus bisect each other at exactly 90°, the side length can be found using the Pythagoras theorem: side = ½ × √(d₁² + d₂²).

Area using Base and Height

Because a rhombus is a specific type of parallelogram, its area can also be computed directly using Area = base × perpendicular height.

Shortcut Trick

Ratio of shares of Veer and Nitin = (100 + R)^{t₂ − t₁} : 100^{t₂ − t₁}

Difference in time = 13 − 12 = 1 year, and Rate (R) = 4%.

Veer's Share : Nitin's Share = (100 + 4) : 100 = 104 : 100 = 26 : 25

Total parts = 26 + 25 = 51 parts = ₹1224 ⇒ 1 part = ₹24

Nitin's share (25 parts) = 25 × 24 = ₹600

∴ The correct answer is ₹600.

Alternate Method

Given:

Total amount with Krish = ₹1224

Rate of interest (R) = 4% compounded annually

Time period for Veer = 12 years

Time period for Nitin = 13 years

Total: ₹1224

Veer (V) Time = 12 yrs, R = 4%

Nitin (N) Time = 13 yrs, R = 4%

Equal Amount (A)

Formula Used:

Amount in Compound Interest: A = P(1 + R/100)ⁿ

Calculation:

Let the initial share of Veer be V and the initial share of Nitin be N.

⇒ V + N = 1224

According to the given condition, Amount of Veer after 12 years = Amount of Nitin after 13 years

⇒ V × (1 + 4/100)¹² = N × (1 + 4/100)¹³

⇒ V = N × (1 + 4/100)^{13 − 12}

⇒ V = N × (1 + 1/25)

⇒ V = N × (26/25)

⇒ V / N = 26 / 25

⇒ Veer's share : Nitin's share = 26 : 25

⇒ Total sum in parts = 26 + 25 = 51 parts

⇒ 51 parts = 1224

⇒ 1 part = 1224 ÷ 51 = 24

⇒ Nitin's share = 25 parts = 25 × 24 = 600

∴ The correct answer is ₹600.

Additional Information

Compound Interest Formula

The amount accumulated after 'n' years is given by A = P(1 + R/100)ⁿ, where P is the principal and R is the rate of interest per annum.

Division of Sum for Equal Amounts

If a sum is divided into two parts P₁ and P₂ such that their amounts are equal after t₁ and t₂ years respectively, their investment ratio is P₁ / P₂ = (1 + R/100)^{t₂ − t₁}.

Effective Rate of Compound Interest

For a 2-year period at an annual rate R%, the effective compound interest rate can be calculated quickly as (2R + R²/100)%.

Shortcut Trick

Total Work = LCM(30, 10) = 30 units.

Efficiency of A = 1 unit/day, B = 3 units/day.

Work in 1 cycle (2 days) = 1 + 3 = 4 units.

In 7 cycles (14 days), work = 7 × 4 = 28 units. Remaining = 30 − 28 = 2 units.

On 15th day, A does 1 unit. Remaining 1 unit is done by B in 1/3 day.

∴ The correct answer is 15¹/₃ days.

Alternate Method

Given:

Time taken by A alone = 30 days

Time taken by B alone = 10 days

They work on alternate days starting with A.

Concept Used:

Total Work = LCM of days taken by individuals

Efficiency = Total Work ÷ Time

Calculations:

⇒ Work done in a 2-day cycle (Day 1: A, Day 2: B) = 1 + 3 = 4 units.

⇒ Work done in 7 complete cycles (14 days) = 7 × 4 = 28 units.

⇒ Remaining work = 30 − 28 = 2 units.

⇒ On the 15th day, it is A's turn. A completes 1 unit.

⇒ Remaining work = 2 − 1 = 1 unit.

⇒ On the 16th day, it is B's turn. Time taken by B to finish 1 unit = 1 ÷ 3 = 1/3 day.

⇒ Total time taken = 14 + 1 + 1/3 = 15¹/₃ days.

∴ The correct answer is 15¹/₃ days.

Additional Information

Alternate Day Working

When individuals work on alternate days, calculate the work done in a complete cycle (e.g., 2 days for 2 people) and divide the total work by this cycle's work to find the number of full cycles and remaining work.

Work and Efficiency Relation

Efficiency is inversely proportional to the time taken. For a constant amount of work, if an individual takes more days, they have a proportionately lower efficiency.

Total Work Assumption

Assuming total work as the Least Common Multiple (LCM) of individual completion times avoids fractions and strictly speeds up daily unit efficiency calculations.

Shortcut Trick

Total CP for 30 notebooks (25 paid + 5 free) = 30 × ₹5 = ₹150

Total SP for 25 notebooks charged = 25 × ₹10 = ₹250

Profit % = [(250 − 150) ÷ 150] × 100 = 200/3 %

Discount % = [Free items ÷ Total items] × 100 = (5 ÷ 30) × 100 = 50/3 %

Difference = 200/3 % − 50/3 % = 150/3 % = 50%

∴ The correct answer is 50%.

Alternate Method

Given:

Scheme = Buy 25 get 5 free

Professed cost per notebook (Selling Price) = ₹10

Real cost per notebook (Cost Price) = ₹5

Formula Used:

Discount % = (Free Quantity ÷ Total Quantity) × 100

Profit % = (Total Profit ÷ Total CP) × 100

25 Paid Items

5 Free

Total SP = 25 × ₹10 = ₹250

Total CP = 30 × ₹5 = ₹150

Profit = ₹100 | Discount = 5 out of 30

Calculations:

⇒ Total items given to the customer = 25 + 5 = 30 items

⇒ Discount % = (5 ÷ 30) × 100

⇒ Discount % = (1 ÷ 6) × 100 = 50/3 %

⇒ Total CP of 30 notebooks = 30 × ₹5 = ₹150

⇒ Total SP of 25 notebooks = 25 × ₹10 = ₹250

⇒ Total Profit = Total SP − Total CP = 250 − 150 = ₹100

⇒ Profit % = (100 ÷ 150) × 100

⇒ Profit % = (2 ÷ 3) × 100 = 200/3 %

⇒ Difference = Profit % − Discount %

⇒ Difference = 200/3 % − 50/3 % = 150/3 % = 50%

∴ The correct answer is 50%.

Additional Information

Discount % in Buy X Get Y Free

Discount % = [Y ÷ (X + Y)] × 100. The total number of items taken away by the customer forms the base for discount calculation.

Profit Calculation on Actual Cost

Profit % = (Total Profit ÷ Total Actual CP) × 100. The seller's actual investment is the true Cost Price, regardless of what is claimed to the customer.

Dishonest Dealer Concept

When a dealer professes to sell goods at cost price but uses a deceptive scheme or false weights, the professed cost effectively acts as the Selling Price per unit.

Shortcut Trick

Mean proportional of two numbers a and b = √(a × b)

Mean proportional of 18 and 98 = √(18 × 98) = √(1764) = 42

Equating this to the given expression: 2A + 6 = 42

2A = 36 ⇒ A = 18

∴ The correct answer is A = 18.

Alternate Method

Given:

First number = 18

Second number = 98

Mean proportional = 2A + 6

Mean Proportional Concept

18 First Term

x = 42 Mean Prop.

98 Third Term

18 : 42 :: 42 : 98

Formula Used:

Mean proportional of two numbers a and b = √(a × b)

Calculations:

⇒ Mean proportional = √(18 × 98)

⇒ Mean proportional = √(9 × 2 × 2 × 49)

⇒ Mean proportional = 3 × 2 × 7 = 42

⇒ According to the given condition, 2A + 6 = 42

⇒ 2A = 42 − 6

⇒ 2A = 36

⇒ A = 18

∴ The correct answer is A = 18.

Additional Information

Third Proportional

The third proportional of two numbers a and b is c, such that a : b :: b : c. Formula: c = b² ÷ a.

Fourth Proportional

The fourth proportional of three numbers a, b, and c is d, such that a : b :: c : d. Formula: d = (b × c) ÷ a.

Compounded Ratio

When two or more ratios are multiplied together, it is called a compounded ratio. For given ratios a:b and c:d, the compounded ratio is ac:bd.

Shortcut Trick

Teacher's Age = Old Average + (New Total Members × Increase in Average)

Teacher's Age = 15 + (36 × 1.25)

Teacher's Age = 15 + 45 = 60

∴ The correct answer is 60 years.

Alternate Method

Given:

Students = 35, Average age = 15 years

New average increase when teacher joins = 1.25 years

Formula Used:

Total Age = Average Age × Number of Persons

Net Deviation Method

Old Avg = 15

Extra = 36 × 1.25 = 45

Teacher's Age = 15 + 45 = 60

Calculations:

⇒ Total age of 35 students = 35 × 15 = 525 years

⇒ Total members including teacher = 35 + 1 = 36

⇒ New average age = 15 + 1.25 = 16.25 years

⇒ Total age of 36 members = 36 × 16.25 = 585 years

⇒ Teacher's age = Total age of 36 members − Total age of 35 students

⇒ Teacher's age = 585 − 525 = 60 years

∴ The correct answer is 60 years.

Additional Information

Net Deviation Method for Averages

When a new entity joins a group and the average increases: New Value = Old Average + (Total Members × Increase in Average). This works seamlessly to avoid large multiplications.

Combined Average

The combined average of two distinct groups can be found using the formula: (N₁A₁ + N₂A₂) ÷ (N₁ + N₂), where N represents the number of items and A denotes the average of the respective groups.

Replacement Concept in Averages

If an existing member is replaced by a new person: New Person's Value = Replaced Person's Value + (Total Members × Change in Average).

Given:

Evaluate: 32 ÷ 8 × 4 - 3 × 3

Calculations:

⇒ 32 ÷ 8 × 4 - 3 × 3  

⇒ 4 × 4 - 3 × 3

⇒ 16 - 9

⇒ 7

∴ The correct answer is option (1).

Shortcut Trick

Relative speed of trains in the same direction = 90 − 80 = 10 km/h.

Convert to m/s: 10 × (5/18) = 25/9 m/s.

Total distance to cross = Length of both trains = 340 + 360 = 700 m.

Time taken = Distance ÷ Relative Speed = 700 × (9/25) = 252 seconds.

Convert time to minutes = 252 ÷ 60 = 4.2 minutes.

∴ The correct answer is 4.2 minutes.

Alternate Method

Given:

Length of the faster train (L₁) = 360 m

Length of the slower train (L₂) = 340 m

Speed of the faster train (S₁) = 90 km/h

Speed of the slower train (S₂) = 80 km/h

360 m 90 km/h →

340 m 80 km/h →

Total Distance = 700 m

Relative Speed = 90 − 80 = 10 km/h Time = 4.2 mins

Formula Used:

Relative Speed (Same Direction) = S₁ − S₂

Time Taken = Total Length ÷ Relative Speed

Calculations:

⇒ Total Length to cross = L₁ + L₂ = 360 + 340 = 700 m

⇒ Relative Speed = 90 − 80 = 10 km/h

⇒ Convert relative speed to m/s = 10 × (5/18) = 25/9 m/s

⇒ Time Taken (in seconds) = 700 ÷ (25/9)

⇒ Time Taken = (700 × 9) ÷ 25

⇒ Time Taken = 28 × 9 = 252 seconds

⇒ Convert seconds to minutes = 252 ÷ 60 = 4.2 minutes

∴ The correct answer is 4.2 minutes.

Additional Information

Relative Speed in Same Direction

When two objects travel in the same direction, their relative speed is calculated by taking the difference of their individual speeds: Relative Speed = S₁ − S₂.

Relative Speed in Opposite Directions

When two objects travel towards each other in opposite directions, their relative speed is the sum of their individual speeds: Relative Speed = S₁ + S₂.

Distance Covered in Train Crossings

When a train completely crosses another moving or stationary train, a platform, or a bridge, the total distance covered is always the sum of both their lengths (L₁ + L₂).

Speed Conversions

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

Shortcut Trick

Since distance is constant, speed is inversely proportional to time: S₁ × T₁ = S₂ × T₂

⇒ 50 × 4.5 = S₂ × (4.5 − 0.5)

⇒ 225 = S₂ × 4

⇒ S₂ = 56.25 km/hr

Increase in speed = 56.25 − 50 = 6.25 km/hr

∴ The correct answer is 6.25 km/hr.

Alternate Method

Given:

Initial time (T₁) = 4.5 hours

Initial speed (S₁) = 50 km/hr

Time to be saved = 30 minutes = 0.5 hours

New time (T₂) = 4.5 − 0.5 = 4 hours

Chandigarh Amritsar Total Distance = 50 × 4.5 = 225 km Case 1: S = 50 km/hr, T = 4.5 hrs Case 2: New Speed, T = 4.0 hrs New Speed = 225 ÷ 4 = 56.25 km/hr

Formula Used:

Distance = Speed × Time

Speed = Distance ÷ Time

Calculations:

⇒ Total Distance = 50 × 4.5 = 225 km

⇒ New Speed (S₂) = Total Distance ÷ New Time

⇒ S₂ = 225 ÷ 4 = 56.25 km/hr

⇒ Required increase in speed = S₂ − S₁

⇒ Increase in speed = 56.25 − 50 = 6.25 km/hr

∴ The correct answer is 6.25 km/hr.

Additional Information

Inverse Relationship of Speed and Time

When the distance remains constant, speed is inversely proportional to time (S ∝ 1/T). Therefore, S₁ × T₁ = S₂ × T₂.

Average Speed

Average Speed is the ratio of total distance traveled to the total time taken: Average Speed = Total Distance ÷ Total Time.

Relative Speed

When two bodies move in opposite directions, their relative speed is S₁ + S₂. When they move in the same direction, it is |S₁ − S₂|.

Shortcut Trick

The greatest number dividing A and B with remainders R₁ and R₂ is the HCF of (A − R₁) and (B − R₂).

Required number = HCF of (1477 − 0) and (671 − 6)

Required number = HCF of 1477 and 665

Since 665 ends in 5, its factors are 5, 7, and 19. Checking the options, 7 divides both 1477 and 665 perfectly.

∴ The correct answer is 7.

Alternate Method

Given:

Numbers to be divided = 1477 and 671

Remainders left = 0 and 6 respectively

Formula Used:

Required greatest number = HCF[(N₁ − R₁), (N₂ − R₂)]

Calculations:

⇒ First resulting number = 1477 − 0 = 1477

⇒ Second resulting number = 671 − 6 = 665

⇒ Prime factorization of 1477 = 7 × 211

⇒ Prime factorization of 665 = 5 × 133 = 5 × 7 × 19

⇒ The highest common factor (HCF) of 1477 and 665 is 7.

∴ The correct answer is 7.

Additional Information

HCF for Equal Remainders

When the greatest number divides x, y, and z leaving the same remainder in each case, the number is the HCF of |x − y|, |y − z|, and |z − x|.

LCM for Specific Remainders

The smallest number which when divided by a, b, and c leaves remainders p, q, and r respectively (where a−p = b−q = c−r = k) is given by (LCM of a, b, c) − k.

Relation between HCF and LCM

For any two numbers A and B, the product of the numbers is strictly equal to the product of their HCF and LCM (A × B = HCF × LCM).

The correct answer is: Discredit.

Key Points

• The word "Authenticate" means to prove or show something to be true, valid, or genuine. (सत्यापित करना)
• Example: The bank authenticated her identity by verifying her documents.
• "Discredit" means to harm the reputation of someone or something, or to show that something is false or unreliable. (अपयश देना, अविश्वसनीय बनाना)
• Example: The report discredited the politician by exposing their fraudulent activities.
• Hence, the antonym of 'Authenticate' is 'Discredit'.

Therefore, the correct answer is: Discredit.

Additional Information

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

• Entitle (अधिकार देना): To give someone a legal right or a claim to something.
• Example: Everyone is entitled to a fair trial under the law.
• Scatter (बिखेरना): To throw or distribute things in different directions.
• Example: The wind scattered the leaves across the garden.
• Amalgamate (मिलाना): To combine or unite to form one organization or structure.
• Example: The two companies decided to amalgamate to increase their market share.

The correct answer is: Option 4 i.e. Prohibit.

Key Points

• The word "proscribe" means to forbid or prohibit something, especially by law or authority. (प्रतिबंधित करना)
• Example: The government proscribes certain substances to ensure public safety.
• The word "prohibit" refers to stopping or forbidding something officially or by authority. (निषेध करना)
• Example: The school prohibits the use of mobile phones during class hours.
• Hence, "prohibit" is the synonym of "proscribe" as they both convey the idea of forbidding something.

Therefore, the correct answer is: Option 4 i.e. Prohibit.

Additional Information

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

• Vary (भिन्न होना): To differ or change in size, amount, or degree.
• Example: The prices of groceries vary from one store to another.
• Reveal (प्रकट करना): To make something known or visible.
• Example: The investigation revealed critical information about the case.
• Surround (घेरना): To enclose or encircle something completely.
• Example: The castle is surrounded by a beautiful garden.

The correct answer is: Option 3.

Key Points

• The word "communicetion" is incorrectly spelled in the given sentence. The correct spelling is "communication".
• Correct word - "communication": It means the act of sharing information, ideas, or feelings with others. (संचार)
• Example: Effective communication is crucial for building strong relationships.

Therefore, the correct answer is: Option 3.

Additional Information

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

• Collaboration (सहयोग): The act of working together to achieve a common goal.
• Example: Collaboration between departments led to the successful launch of the product.
• Effective (प्रभावी): Producing a desired or intended result.
• Example: Her presentation was so effective that everyone immediately agreed to her proposal.
• Completion (पूर्णता): The act of finishing or bringing something to an end.
• Example: The completion of the project was celebrated with a team dinner.

The correct answer is: busy as a bee.

Key Points

• The phrase "busy as a bee" is an idiom that means someone is very active or busy doing something, similar to how bees are constantly buzzing around working. (बहुत व्यस्त)
• Example: Riya is always busy as a bee, managing her studies and extracurricular activities efficiently.
• In the given sentence, Tamanna is described as being very active or engaged with her projects, which perfectly aligns with the phrase "busy as a bee." (बहुत व्यस्त)

Therefore, the correct answer is: busy as a bee.

Additional Information

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

• Beat around the bush (घुमावदार बात करना): To avoid talking about the main point or issue.
• Example: Stop beating around the bush and tell me what you really think about the proposal.
• Busy as a sparrow (गौरैया की तरह व्यस्त): This is not a common idiom in English and does not convey any specific meaning.
• Busy as a tiger (बाघ की तरह व्यस्त): This is also not a standard idiom in English and does not correctly describe someone being active or engaged.

The correct answer is: Destroy.

Key Points

• The word "Annihilate" means to completely destroy or obliterate something, often in a violent or devastating way. (नष्ट करना)
• Example: The invading army aimed to annihilate the enemy forces in a single battle.
• "Destroy" refers to causing something to become ruined, damaged, or obliterated to the extent that it cannot be repaired or restored. (नष्ट करना)
• Example: The storm destroyed several homes in the coastal area.
• Hence, the synonym of 'Annihilate' is 'Destroy'.

Therefore, the correct answer is: Destroy.

Additional Information

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

• Increase (बढ़ना): To make something greater in size, amount, or intensity.
• Example: The company aims to increase its production capacity by 20% next year.
• Confirm (पुष्टि करना): To establish the truth or validity of something.
• Example: The doctor confirmed the diagnosis after conducting several tests.
• Lengthen (लंबा करना): To make something longer in duration or length.
• Example: She lengthened the skirt to make it more suitable for the occasion.

The correct answer is '2' i.e. nor .

Key Points

• The given sentence uses the construction "Neither...nor," which is a correlative conjunction used to connect two negative ideas.
• In this case, the sentence requires "nor" to complete the structure and make the sentence grammatically correct.
• The correct pair is: "Neither...nor."

Correct sentence: Neither John nor his friends were able to attend the party.

Additional Information

• Correlative Conjunctions:
• Correlative conjunctions are pairs of words that work together to link related elements in a sentence.
• Examples include: neither...nor, either...or, both...and, not only...but also.
• Usage of Neither...Nor:
• Neither...nor is used to join two negative ideas.
• Example: Neither the teacher nor the students were present.

The correct answer is '1' i.e. 'is not big enormous'.

Key Points

• The phrase "is not big enormous" contains an error in adjective usage.
• The adjectives "big" and "enormous" are both used to describe size, but they cannot be used together because they are not cumulative adjectives. Using both creates redundancy.
• Instead, the sentence should use one adjective, such as "is not big enough" or "is not enormous enough."

Correct sentence: The hotel is not big enough to accommodate some more guests.

The erroneous part is: softly examined.

Key Points

• The word 'softly' is an adverb that modifies the verb 'examined' in this sentence.
• However, the usage of 'softly' here is inappropriate, as it does not logically fit with the action of 'examining'.
• One does not 'softly examine' something; instead, adverbs like 'carefully' or 'thoroughly' would be more appropriate.

Hence, the correct answer is: Patricia and her associate carefully examined the ancient artefact.

The correct answer is '4' i.e. contrasted with .

Key Points

• The verb "contrast" is typically followed by the preposition "with" when indicating a comparison between two things to highlight differences.
• The sentence compares rural life with urban life, so the correct preposition to use is "with".
• None of the other prepositions like "at," "off," or "in" are appropriate in this context.

Correct sentence: The rural life can be contrasted with that of urban life.

The correct answer is: Option 1 i.e. Renewel.

Key Points

• The word "Renewel" is incorrectly spelt. The correct spelling is "Renewal".
• Renewal means the process of making something new again or reviving it. (नवीकरण)
• Example: The renewal of his contract brought relief to his team.

Therefore, the correct answer is: Option 1.

Additional Information

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

• Horizon (क्षितिज): The line at which the earth's surface and the sky appear to meet.
• Example: The sun dipped below the horizon, painting the sky in shades of orange and pink.
• Composer (संगीतकार): A person who writes music.
• Example: Beethoven is considered one of the greatest composers of classical music.
• Algebra (बीजगणित): A branch of mathematics dealing with symbols and the rules for manipulating those symbols.
• Example: Solving algebraic equations is an essential skill for students in mathematics.

The correct answer is '1' i.e. both challenging and rewarding.

Key Points

• The underlined phrase "all challenging and rewarding" is grammatically incorrect and does not convey the intended meaning properly.
• The correct substitution is "both challenging and rewarding," which clearly expresses that learning a new language is both of these qualities simultaneously.
• Using "both" emphasizes that the action or experience is equally challenging and rewarding.

Correct sentence: Learning a new language can be both challenging and rewarding.

Additional Information

• Common usage of "both":
• "Both" is used to link two qualities or elements that coexist or are equally applicable.
• Example: She is both intelligent and kind.
• Usage: It emphasizes dual characteristics or actions.
• Incorrect alternatives:
• "Whether both challenging and rewarding" is awkward and does not fit the sentence structure.
• "All both challenging or rewarding" is redundant and grammatically incorrect.
• "Neither challenging and rewarding" changes the meaning of the sentence entirely.

The correct answer is '3' i.e. potential to be used in .

Key Points

• The phrase "potential to be used by" is inappropriate in the context of the sentence because applications do not "use" the technology themselves; rather, it is used "in" applications.
• The correct preposition in this context is "in," since it specifies that the technology can be applied or utilized within a broad range of applications.
• The revised phrase "potential to be used in" correctly conveys that elastocaloric cooling can be employed within various applications.

Correct sentence: Elastocaloric cooling is a promising, eco-friendly technology for refrigeration that has the potential to be used in a broad range of applications and at different temperature ranges.

Additional Information

• Prepositions:
• Prepositions such as "in," "on," and "by" are used to clarify relationships between words in a sentence.
• For example, "used in" indicates the context or area of application, while "used by" indicates the agent or user.
• Contextual Usage:
• Understanding context is essential for choosing the correct preposition, as it affects the clarity and accuracy of the sentence.

The correct answer is: Disavow.

Key Points

• The word "Confess" means to admit or acknowledge something, often a wrongdoing or a secret. (स्वीकार करना)
• Example: She confessed to stealing the money from the drawer.
• "Disavow" means to deny responsibility or association with something, or to refuse to acknowledge something. (अस्वीकार करना)
• Example: He disavowed any connection to the controversial project.
• Hence, we can infer that the antonym of 'Confess' is 'Disavow'.

Therefore, the correct answer is: Disavow.

Additional Information

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

• Scare (डराना): To cause fear or frighten someone.
• Example: The loud noise scared the children.
• Witness (गवाह): Someone who sees an event, typically a crime or accident, occur.
• Example: The witness testified in court about what he saw.
• Preface (भूमिका): An introduction to a book, often written by the author.
• Example: The author wrote a brief preface explaining the purpose of the book.

The correct answer is: Option 1 i.e. sense.

Key Points

• The word "sense" refers to a feeling or perception that arises from an emotional or physical experience. (अनुभूति या एहसास)
• Example: She had a sense of accomplishment after completing the project on time.
• In the given context, "sense" correctly conveys the meaning of relief or an emotional state experienced after the exam was over. (राहत का एहसास)

Therefore, the correct answer is: Option 1 i.e. sense.

Additional Information

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

• Responsibility (जिम्मेदारी): The state or fact of having a duty to deal with something or take care of someone.
• Example: Taking care of the family is a huge responsibility.
• Danger (खतरा): The possibility of suffering harm or injury.
• Example: He sensed the danger of walking alone in the forest at night.
• Touch (स्पर्श): The act of coming into contact with something physically.
• Example: The gentle touch of her hand was comforting.

The correct answer is: Brief.

Key Points

• The word "concise" means expressing much in a few words; clear and succinct. (संक्षिप्त)
• Example: The report was concise, making it easy for everyone to understand.
• "Brief" means short in duration, length, or extent; succinct and to the point. (संक्षिप्त)
• Example: The manager gave a brief overview of the project during the meeting.
• Both "concise" and "brief" have similar meanings, as they refer to something that is expressed in a short and clear manner.

Therefore, the correct answer is: Brief.

Additional Information

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

• Confusing (भ्रमित करने वाला): Something that causes uncertainty or lack of clarity.
• Example: The confusing instructions made it difficult to assemble the furniture.
• Interesting (रोचक): Something that captures attention or arouses curiosity.
• Example: The documentary was so interesting that I couldn’t take my eyes off the screen.
• Detailed (विस्तृत): Something that includes many specific facts or features.
• Example: The report provided a detailed analysis of the market trends.

The correct answer is 'of'.

 

Key Points

• The passage discusses Mr. Cyril Boggis, who is disguised as a spiritual leader, and the correct preposition should relate to his position in the Christian Church.
• The appropriate preposition is "of" as it denotes affiliation or association with a group or institution, in this case, the Christian Church.
• Other options like "off", "oft", and "on" do not correctly express the intended meaning of being part of or associated with the Church.

Therefore, the correct answer is 'Option 1'.

 

Complete Passage: Apart from the fact that he was at this moment, disguised as a spiritual leader of the Christian Church, there was nothing sinister about Mr. Cyril Boggis. He was ...

 

Additional Information

• "Off" (से) is used to indicate separation or removal, which is not fitting for describing affiliation with the Church.
• "Oft" (अक्सर) is an archaic form of "often" and does not work in this context.
• "On" (पर) typically expresses location or position, but here it does not convey the idea of association.

The correct answer is 'by'.

 

Key Points

• The passage describes Mr. Cyril Boggis and his profession as a dealer in antique furniture.
• The appropriate preposition is "by" because it is commonly used to indicate the means or manner of engaging in a trade or profession.
• In this context, it suggests that Cyril Boggis is engaged in the business of antique furniture as his profession.
• Other options like "at", "in", and "from" do not fit as they don't correctly convey the sense of a profession or trade.

Therefore, the correct answer is 'Option 4'.

 

Complete Passage: Apart from the fact that he was at this moment, disguised as a spiritual leader in the Christian Church, there was nothing sinister about Mr. Cyril Boggis. He was by trade a dealer in antique furniture, with his own shop and showroom in the King’s Road, Chelsea.

 

Additional Information

• "At" (पर) is used to refer to a location, which is not appropriate for describing one's profession.
• "In" (में) is used to describe being inside or within something, which does not convey the meaning of being a part of a profession or trade.
• "From" (से) suggests origin, which does not fit in this context where the focus is on the type of profession or trade.

The correct answer is 'were'.

 

Key Points

• The passage discusses Mr. Cyril Boggis and his business. Since the description refers to his business in the past tense, the verb should align with that tense.
• The correct answer is "were" because it matches the past tense used throughout the passage and indicates that his premises were not large at that time.
• Other options like "are", "was", and "is" are incorrect as they do not match the past tense narrative of the passage.

Therefore, the correct answer is 'Option 1'.

 

Complete Passage: Apart from the fact that he was at this moment, disguised as a spiritual leader in the Christian Church, there was nothing sinister about Mr. Cyril Boggis. He was by trade a dealer in antique furniture, with his own shop and showroom in the King’s Road, Chelsea. His premises were not large, and generally he did not do a great deal of business, but because he always bought very, very cheap and sold very, very cheap he managed to make quite a tidy little income every year.

 

Additional Information

• "Are" (हैं) is used for present tense, which doesn't fit the past-tense context of the passage.
• "Was" (था) is a past-tense form but doesn't correctly match the plural subject "premises", which requires "were".
• "Is" (है) is used for present tense, which is not appropriate in this past-tense description of Mr. Boggis' business.

The correct answer is 'dare'.

 

Key Points

 

• The passage describes Mr. Cyril Boggis' talent in buying and selling antique furniture at a profit. The word in blank 4 refers to how he sells the items.
• The word "dear" (महंगा) appropriately fits the context of selling items at a high price. It directly contrasts with "cheap" and implies charging a lot for the items after purchasing them inexpensively.
• Other options like "door" (दरवाज़ा), "dare" (हिम्मत करो), and "deer" (हिरण) do not fit the context of selling items at a high price or profit.

Correct Answer: Option 3

 

Complete Passage: "Apart from the fact that he was at this moment, disguised as a spiritual leader in the Christian Church, there was nothing sinister about Mr. Cyril Boggis. He was by trade a dealer in antique furniture, with his own shop and showroom in the King’s Road, Chelsea. His premises were not large, and generally he did not do a great deal of business, but because he always bought very, very cheap and sold very, very dear, he managed to make quite a tidy little income every year."

 

Additional Information

 

• "Door" (दरवाज़ा) refers to an entrance and is unrelated to the context of selling goods at a high price.
• "Dare" (हिम्मत करो) refers to having the courage or boldness to do something, which does not fit the context of pricing or the act of selling items at a high value.
• "Deer" (हिरण) refers to an animal, which does not make sense in the context of antique furniture sales.

Thus, the correct word to fill in blank number 4 is "dear" (Option 3).

The correct answer is 'piece'.

 

Key Points

• The passage describes Mr. Cyril Boggis as a talented salesman, and when buying or selling, he deals with items, specifically antique furniture.
• The appropriate word for blank 5 is "piece" (टुकड़ा) because it refers to an individual item, in this case, an antique piece of furniture.
• Other options like "pace", "pose", and "peace" do not fit the context of selling individual items, especially antiques, which are typically referred to as "pieces".

Therefore, the correct answer is 'Option 1'.

 

Complete Passage: Apart from the fact that he was at this moment, disguised as a spiritual leader in the Christian Church, there was nothing sinister about Mr. Cyril Boggis. He was by trade a dealer in antique furniture, with his own shop and showroom in the King’s Road, Chelsea. His premises were not large, and generally he did not do a great deal of business, but because he always bought very, very cheap and sold very, very dear he managed to make quite a tidy little income every year. He was a talented salesman, and when buying or selling a piece he could slide smoothly into whichever mood suited the client best. He was well aware of his gift using it shamelessly on every possible occasion.

 

Additional Information

• "Pace" (गति) refers to speed or rate, which does not fit in the context of describing an item being sold.
• "Pose" (मुद्रा) refers to a position or posture, which does not match the context of dealing with items like furniture.
• "Peace" (शांति) refers to tranquility or calm, which is unrelated to selling items like antiques.

‘बहुत परिश्रम करना' के लिए उपयुक्त मुहावरा है- आकाश-पाताल एक करना

Key Points

• 'आकाश-पाताल एक करना' मुहावरे का सही अर्थ - बहुत परिश्रम करना।
• वाक्य प्रयोग - परीक्षा पास करने के लिए, उसने "आकाश-पाताल एक कर दिया"।
• मुहावरा - ऐसे वाक्यांश, जो सामान्य अर्थ का बोध न कराकर किसी विलक्षण अर्थ को प्रकट करते है, उसे मुहावरा कहते है।
• उदाहरण के लिए - '​घर का चिराग गुल होना' का अर्थ - पुत्र की मृत्यु होना।
• वाक्य प्रयोग - यह सुनकर बड़ा दुःख हुआ कि मेरे मित्र के "घर का चिराग गुल हो गया"।

​​अन्य विकल्प -

Additional Information