SSC CHSL Tier-1 2023: Official Paper (Held On: 17 Aug, 2023 Shift 2) (Previous Year Paper)

According to the given information,

Thus, 'and' is coded as 'bi'.

Hence, the correct answer is "Option 2".

The logic followed here is:

Let's check the options one by one,

Option 1: XXBXXBXB → XBX / XBX / XBX / XBX / XBX

Option 2: XBXBXBXX → XBX / BXX / BBX / XBX / XXX

Option 3: BBXXBXXX → BBX / BXX / XBB / XXX / XXX

Option 4: BXXXBBBB → BBX / XXX / XBB / XBX / BBX

Thus, "Option 1" follows a pattern of "XBX".

Hence, the correct answer is "Option 1".

The logic followed here is:

So, 'O 24 X' will replace the question mark in the given series.

Hence, the correct answer is "Option 3".

The logic follows here is:

Thus, '124' is the missing number in the given series.

Hence, the correct answer is "124".

The logic followed here is:

Logic: (First number + Second number) + 5 = Third number.

Now, for 4 - 5 - 14

⇒ (4 + 5) + 5

⇒ 9 + 5 = 14 

For, 7 - 8 - 20

⇒ (7 + 8) + 5

⇒ 15 + 5 = 20 

Similarly, Option 3) 9 - 12 - 26

⇒ (9 + 12) + 5 

⇒ 21 + 5 = 26.

Hence, the correct answer is "Option 3".

The logic follows here is:

Thus, '149' is the missing term in the given series.

Hence, the correct answer is "Option 3".

The correct mirror image for the given figure is:

Hence, the correct answer is "Option 2".

Let's check the options one by one:

Option 1:

4 : 36 → 4 × 9 = 36

Thus, 36 is the multiple of 4.

Option 2: 

2 : 10 → 2 × 5 = 10

Thus, 10 is the multiple of 2.

Option 3: 

5 × 11 = 55

Thus, 55 is the multiple of 5.

Option 4:

23 is not a multiple of 3, so option 3 will be the odd one out.

Hence, the correct answer is "Option 4".

Given Statements are:

All papers are scissors.

Some scissors are books.

All books are animals.

The possible venn diagram for the given statements is:

Conclusions:

(I) Some animals are books → True (All books are animals implies that some animals are also books) 

(II) Some scissors are papers → True (All papers are scissors implies that some scissors are also papers)

Thus, both Conclusion I and Conclusion II follows.

Hence, the correct answer is "Option 3".

The positions of the letters according to the English alphabet series:

The pattern follows here is:

Thus, 'QAK' will replace the question mark in the given series.

Hence, the correct answer is "Option 3".

BODMAS Table: 

Given equation: 13 ÷ 145 × 29 - 69 + 27 = ?

Now, if ‘+’ and ‘-‘ and ‘×' and '÷’ are interchanged, then:

⇒ 13 × 145 ÷ 29 + 69 - 27 = ?

⇒ 13 × 5 + 69 - 27 = ?

⇒ 65 + 69 - 27 = ?

⇒ 134 - 27 = ?

⇒ ? = 107.

Hence, the correct answer is "Option 3".

The pattern follows here is:

So, the combination of 'GGKC' will sequentially placed in the blanks of the given series will make the series logically complete.

Hence, the correct answer is "Option 2".

There are 8 total number of triangles in the given figure. These are as follows:

Hence, the correct answer is "Option 1".

The logic followed here is:

Logic: The letters are getting shifted to each alternate boxed.

So, Option 3 will complete the image series.

Hence, the correct answer is "Option 3".

The logic followed here is: 

Logic: (First number × 4) + 12 = Second number

Let's check the options one by one,

Option 1 →  21 : 100

⇒ (21 × 5) = 105

⇒ 105 - 5 = 100

Option 2 → 19 : 88

⇒ 19 × 4 = 76

⇒ 76 + 12 = 88

Option 3 → 13 ∶ 64

⇒ 13 × 4 = 52

⇒ 52 + 12 = 64

Option 4 → 17 ∶ 80

⇒ 17 × 4 = 68

⇒ 68 + 12 = 80

Thus, "Option 1" is odd one.

Hence, the correct answer is "Option 1".

According to the question:

From the above information, 'you' is coded as 'mp'.

Hence, the correct answer is "Option 1".

Let's check the options one by one,

Option 1:

Option 2:

Option 3:

Option 4:

Thus, all except "YWU" follows a pattern.

Hence, the correct answer is "Option 2".

On replacing the letters with the mathematical signs, we get

⇒ 13 × 145 ÷ 29 + 69 - 17 = ?

Now, by applying the bodmas rule, we have

⇒ 13 × 145 ÷ 29 + 69 - 17 = ?

⇒ 13 × 5 + 69 - 17 = ?

⇒ 65 + 69 - 17 = ?

⇒ 134 - 17 = ?

⇒ 117 = ?

Thus, 117 will replace the question mark.

Hence, the correct answer is "Option 4".

The logic follows here is:

Logic: First number + 11 = Second number

23 is related to 34 → 23 + 11 = 34

84 is related to 95 → 84 + 11 = 95

Similarly, 

59 is related to 70 → 59 + 11 = 70

Hence, the correct answer is "Option 3".

The mirror image for the given figure, when a mirror is placed at MN, is:

Hence, the correct answer is "Option 3".

The given statements are:

All Fingers are Hands.

Some Hands are Seconds.

All Seconds are Clocks.

The least possible venn diagram for the given statements is:

Conclusions:

(I) Some Clocks are Hands → True (Those parts of hands which are seconds will also be clocks)

(II) Some Fingers are Clocks → False (There is no definite relation given between fingers and clocks so It can be possible only)

Thus, Only Conclusion I follows.

Hence, the correct answer is "Option 3".

Given: 2 June 1995 is Friday.

Now, 1995 to 1996 = 1 year.

In 1 year, 1996 is a leap year,

So, 2 June 1996 will be = Friday + 2 = Sunday

Now, from 2 June to 16 June, there are 14 days,

⇒ 14/7 = 2 weeks + 0 odd days.

So, 16 June 1996 = Sunday + 0 = Sunday

Thus, on 16 June 1996, the day was 'Sunday'

Hence, the correct option is "Option 2".

The pattern follows here is:

DMTS is related to FOVU

And, KGQO is related to MISQ

Similarly, HCMJ 

Thus, 'HCMJ' will be related to 'JEOL'.

Hence, the correct answer is "Option 3".

The logic follows here is:

Bitter : Pungent → Bitter and Pungent are synonyms

Similarly,

Boggle : Wonder → Boggle and Wonder are synonyms

Hence, the correct answer is "Option 1".

Given word: 'JOURNEY'

After arranging in alphabetical order:

From the above table, the positions of J, O, U, R, N, and E are changed

Thus, there are 6 letters in the word whose positions are changed.

Hence, the correct answer is "Option 4".

The correct answer is Income Tax.

Key Points

• Direct Tax:
• Taxes that are imposed by the government on individuals or corporations directly.
• The same person is subject to both the incidence and the impact of the direct tax.
• They are progressive in nature.
• For example:
• Income tax
• Corporate tax
• Security transaction tax
• Capital gain tax
• Income Tax:
• It is applied to the net taxable income of an individual or Hindu Undivided Family over the duration of the fiscal year.
• In India, it is progressive in nature.
• All sources of income are put together and taxed according to the individual's income tax bracket for taxation purposes.
• Agricultural income is not subject to tax.

Additional Information

• Indirect Tax:
• Tax that the government imposes on a single party (goods manufacturers), but which the manufacturers then pass along to the final customer.
• The incidence and impact of the tax fall on different persons.
• They are regressive in nature.
• For Example:
• Customs duty
• Sales tax
• Excise duty
• Goods and Service tax
• Dividend distribution tax
• Custom Duty:
• When products are carried across international boundaries, customs taxes are levied as a levy or charge.
• Its goal is to safeguard the country's economy.
• India calculates import taxes using ad valorem calculations.
• Good and Service Tax:
• In India, various central and state taxes were combined to create a single, unified tax structure.
• The majority of domestic indirect taxes were consolidated into one, including excise, service, and entertainment taxes.
• It is imposed at three different levels: on intrastate supplies of goods and services, the State Government levies and collects State GST (SGST), the Central Government levies and collects Central GST (CGST), and on interstate supplies of goods and services, the Centre Government levies and collects Integrated GST (IGST).
• The 101^st Constitution Amendment Act introduced article 246A of the Indian Constitution, which defined GST.

The correct answer is Inserted by 43^rd Constitutional Amendment.

Key Points

• The Forty-third Amendment of the Constitution of India, formally titled the Constitution Act of 1977, annulled six articles that were introduced into the Constitution through the 42^nd Amendment.
• The 42^nd Amendment was enacted during the Emergency under the leadership of Indira Gandhi and the Indian National Congress.
• The Constitution (Forty-third Amendment) Act of 1977 was initially presented in the Lok Sabha on December 16, 1977, under the name Constitution (Forty-fourth Amendment) Bill, 1977.
• Shanti Bhushan, the Minister of Law, Justice, and Company Affairs, introduced the bill.
• It aimed to modify Articles 145, 228, and 366, while also removing Articles 31D, 32A, 131A, 144A, 226A, and 228A from the Constitution.

Important Points

• The 42^nd Amendment of the Constitution passed in 1976, introduced the enumeration of Fundamental Duties for citizens.
• Article 51 'A', found in Part IV A of the Constitution, addresses these Fundamental Duties.
• These duties include, among other obligations, upholding the Constitution, embracing and pursuing the noble ideals that fueled India's fight for independence, defending the nation, and contributing to national service when required, as well as fostering harmony and a sense of common brotherhood that surpasses religious, linguistic, regional, or sectional differences.

Additional Information

• List of Fundamental Duties
• Abide by the Constitution and respect the national flag & National Anthem
• Follow the ideals of the freedom struggle
• Protect the sovereignty & integrity of India
• Defend the country and render national services when called upon
• Spirit of common brotherhood
• Preserve composite culture
• Preserve natural environment
• Develop scientific temper
• Safeguard public property
• Strive for excellence
• Duty for all parents/guardians to send their children in the age group of 6-14 years to school.

The correct answer is Financially viable and self - sustaining MFIs.

Key Points

• Financial viability and self-sustainability are crucial for MFIs (Microfinance Institutions) to grow and serve more clients effectively.
• Being financially viable allows MFIs to attract more resources, including investments and loans, which can be used to expand their services.
• MFIs that are self-sustaining can reinvest their profits into the business, enhancing their capacity to provide more and larger loans to clients.
• A focus on financial sustainability helps MFIs to reduce their dependence on external funding, such as foreign aid, making them more robust against financial crises.

Additional Information

The correct answer is 8.

Key Points

• The South Asian Association for Regional Cooperation (SAARC) was founded on December 8, 1985.
• Its Secretariat was established in Kathmandu, Nepal, on January 17, 1987.
• SAARC comprises eight member countries: Afghanistan, Bangladesh, Bhutan, India, Maldives, Nepal, Pakistan, and Sri Lanka.
• The objectives of SAARC include enhancing the welfare of the people of South Asia, improving their standard of living, fostering economic growth, social advancement, and cultural enrichment in the region.
• SAARC also aims to ensure every individual has the opportunity to lead a dignified life and realize their full potential.
• Additionally, SAARC endeavours to strengthen collaboration with other developing nations and to engage with international and regional organizations sharing similar goals and objectives.

Important Points

• SAARC Heads of State convene at annual Summits, with the most recent one held in Kathmandu in 2014.
• Subsequently, Nepal has been hosting informal meetings of SAARC Foreign Ministers annually. The latest such gathering took place virtually in September 2020 alongside the UNGA.
• To address the challenges posed by the COVID-19 pandemic, SAARC devised and enacted a regional emergency fund totaling approximately 22 million USD.
• This fund aims to enhance cooperation among member states in combatting the pandemic's effects and supporting collective efforts towards recovery and resilience.

The correct answer is Himachal Pradesh.

Key Points

• Chaitrual and Phulaich are the festivals of Himachal Pradesh.
• Chaitrual is a widely celebrated festival in the Sirmaur area, occurring during the Chaitra month's bright fortnight on a specific day.
• During this occasion, households clear and adorn their walls, painting them and embellishing them with depictions of male animals and crops, symbolizing abundance.
• It is also referred to as the "festival of pictures."
• In the Kinnaur district of Himachal Pradesh, the Phulaich Festival, alternatively known as Ookayand Festival or Ukyam Festival, is observed in September.
• The term 'Oo' denotes 'flowers,' while 'Kayang' signifies 'festival,' making Phulaich synonymous with the 'festival of flowers.'
• On the 16^th day of the Hindu month of 'Bhadrapada,' ten Rajputs from the village venture to the high hills to gather select flowers from the blooming season of wildflowers in the upper regions of Kinnaur district.

Important Points

• Himachal Pradesh is a state located in the northern region of India.
• Nestled in the Western Himalayas, Himachal Pradesh is one of the thirteen mountain states and boasts a rugged landscape marked by numerous peaks and extensive river systems.
• As the northernmost state in India, it shares borders with the union territories of Jammu and Kashmir and Ladakh to the north.
• To the west lie the states of Punjab, while Haryana borders it to the southwest and Uttarakhand to the southeast.
• Additionally, Himachal Pradesh has a narrow boundary with Uttar Pradesh to the south. Towards the east, the state shares an international border with the Tibet Autonomous Region in China.

The correct answer is Avadh.

Key Points

• Princely state Avadh was primarily associated with Kathak.
• The National Institute of Kathak Dance, commonly known as Kathak Kendra, is the foremost institution dedicated to the classical dance form of Kathak.
• As a unit of the Sangeet Natak Akademi, India's National Academy of Music, Dance, and Drama, it is located in New Delhi.
• Established in 1964, Kathak Kendra primarily focuses on Kathak training but also offers courses in Hindustani classical music (vocal) and Pakhawaj and Tabla. With the decline of royal patronage after India gained independence in 1947, Kathak exponents and gurus faced challenges. Many began teaching privately.
• Under the patronage of the Awadh state, Lachhu Maharaj relocated to Bombay, while his brother, Shambhu Maharaj, along with his nephew, moved to Delhi in 1955.

Additional Information

• Shambhu Maharaj was honored with the Sangeet Natak Akademi Fellowship, the highest award bestowed by the Sangeet Natak Akademi, in 1967.
• Following Shambhu Maharaj's passing in 1970, his nephew, Birju Maharaj, a renowned Kathak dancer and guru, assumed leadership roles at the institution.
• Birju Maharaj's tenure witnessed a transformation in Kathak performance, adapting it from intimate gatherings to large-scale productions in modern theaters.
• He introduced several acclaimed ballets during this period, gradually transitioning Kathak from a solo dance form to one that embraced group performances.

The correct answer is Only ii.

Key Points

• Self-help Groups (SHGs) are informal associations formed by people with similar economic and social backgrounds to collectively address their challenges and enhance their quality of life.
• These groups are typically self-managed and operated by their members. Individuals often come together with the assistance of non-governmental organizations (NGOs) or government agencies to address common issues and uplift their living standards.
• The roots of SHGs in India can be traced back to the establishment of the Self-Employed Women’s Association (SEWA) in 1972.
• Even earlier instances of self-organization existed, such as the formation of the women’s wing of the Textile Labour Association (TLA) of Ahmedabad in 1954, aimed at training women from mill worker families in various skills.

Important Points

• To foster the growth of the SHG movement, the government should create an enabling environment and act as a facilitator and promoter. Additionally, expanding the SHG movement to credit-deficient areas like Madhya Pradesh, Rajasthan, and the North-Eastern states is crucial for broader socioeconomic development.
• To bolster financial infrastructure, including that of the National Bank for Agriculture and Rural Development (NABARD), it's imperative to embrace extensive IT-enabled communication and capacity-building initiatives in these states.
• This approach can enhance accessibility and efficiency in financial services delivery, particularly in rural and remote areas.

The correct answer is intensive cultivation.

Key Points

• Use of more labour and capital inputs on the given land under cultivation is referred to as intensive cultivation.
• Intensive agriculture, also referred to as intensive farming, conventional agriculture, or industrial agriculture, is characterized by the significant utilization of labor and capital in relation to land area.
• It involves higher levels of input and output per unit of agricultural land area compared to extensive farming practices.
• In contrast, extensive farming involves cultivating large farms with relatively smaller inputs, such as cash and labor, and is typically practiced in regions with extensive land and sparse population.

Important Points

• Extensive farming, also known as extensive agriculture, is characterized by the use of minimal inputs of labor, fertilizers, and capital in relation to the land area being farmed.
• Hybrid cultivation involves the cross-breeding of two different varieties of plants to combine desired traits.
• In a Capitalistic farming system, farming activities are directed and managed by individual entrepreneurs who exercise control over the agricultural processes.

The correct answer is 1982.

Key Points

• Kapil Dev, an iconic figure in Indian cricket, was honored with the Padma Shri in 1982 and the Padma Bhushan in 1991, two of India's highest civilian awards.
• He was named the Indian Cricketer of the Century in 2002 and inducted into the International Cricket Council's Hall of Fame in 2010, recognizing his exceptional contributions to the sport.
• Kapil Dev Nikhanj, an esteemed former Indian cricketer, is renowned as one of the finest all-rounders in cricket history, excelling as a fast-medium bowler and a powerful middle-order batsman.
• He holds the unique distinction of being the only player to have amassed over 400 wickets (434 wickets) and scored more than 5,000 runs in Test matches.
• As captain, Dev led the Indian cricket team to victory in the 1983 Cricket World Cup, making history as the first Indian captain to achieve this milestone. Notably, he remains the youngest captain, having achieved this feat at the age of 24.
• Retiring in 1994, he was the first player to claim 200 wickets in One Day Internationals (ODIs) and held the world record for the highest number of wickets in Test cricket until it was surpassed by Courtney Walsh in 2000.

Important Points

• The Padma Shri stands as the fourth-highest civilian award in India, following the Bharat Ratna, the Padma Vibhushan, and the Padma Bhushan.
• Established on January 2, 1954, this accolade is bestowed in acknowledgment of outstanding contributions across a wide array of fields such as arts, education, industry, literature, science, acting, medicine, social service, and public affairs.
• Annually conferred by the Government of India, it is a prestigious honor awarded on India's Republic Day.

The correct answer is Per capita Gross National Product.

Key Points

• Per capita Gross National Product is the most generally used indicator of overall economic performance.
• Per capita Gross National Product (GNP) is indeed a widely used indicator to gauge the economic performance of a country.
• It measures the average economic output per person in a given country, providing insight into the standard of living and economic well-being of its citizens.
• By dividing the total GNP of a country by its population, policymakers, economists, and analysts can assess trends in economic growth, compare the economic performance of different countries, and make informed decisions regarding economic policies and strategies.

Important Points

• The Human Development Index (HDI) indeed serves as a comprehensive measure of a country's social and economic development, encompassing key factors like education, health, and income. By combining indicators such as mean years of schooling, expected years of schooling, life expectancy at birth, and gross national income (GNI) per capita, the HDI provides a holistic assessment of human well-being and development across different nations.
• The Physical Quality of Life Index (PQLI) offers another perspective on societal well-being by considering various social factors, including life expectancy, infant mortality rate, and literacy rate. It provides a broader understanding of the overall quality of life within a population, highlighting areas for improvement and policy intervention.
• The standard of living refers to the overall level of prosperity and well-being enjoyed by individuals or communities, typically measured by factors such as income, access to basic needs, and quality of life indicators. It provides insight into the material comforts, services, and opportunities available to people within a given society or location, reflecting their economic and social status.

The correct answer is United Nations Statistical Office.

Key Points

• The analysis of the interrelationship between the economy and the environment in the economic environmental accounting system was put forward by United Nations Statistical Office.
• The System of Environmental-Economic Accounting (SEEA), endorsed by the United Nations Statistical Commission in 2012, serves as the official international framework for natural capital accounting.
• It offers a standardized approach to organizing and presenting statistics concerning the environment and its interconnectedness with the economy.
• At its core, SEEA comprises two key components: the Central Framework (SEEA-CF) and Ecosystems Accounting (SEEA-EA).
• The SEEA-CF adopts an economic perspective, analyzing how natural resources such as fish, timber, and water are utilized in production and consumption processes.
• Additionally, it examines the resultant pollution, encompassing waste, water, and air emissions. On the other hand, SEEA-EA complements the Central Framework by focusing on ecosystems and their significance in enhancing human well-being through the provision of identifiable ecosystem services.
• This component offers insights into the contribution of ecosystems to various aspects of human life, offering a holistic understanding of environmental sustainability and economic development.

Important Points

• The United Nations Statistics Division (UNSD) is dedicated to advancing the global statistical system, facilitating the harmonization of statistical practices and standards worldwide.
• The Central Statistics Office (CSO) is a governmental agency in India operating under the Ministry of Statistics and Programme Implementation. Its primary responsibilities include coordinating statistical activities across India and developing and upholding statistical standards.
• The National Environmental Engineering Research Institute (NEERI) in Nagpur, originally established in 1958 as the Central Public Health Engineering Research Institute (CPHERI), focuses on research and development in the field of environmental engineering.
• DES serves as the Principal Statistical Organisation of the State Government, overseeing all statistical activities within the state. It is designated as the "Nodal Agency" responsible for coordinating statistical endeavors throughout the state.

The correct answer is Swami Vivekananda.

Key Points

• Narendranath Dutta, renowned as Swami Vivekananda, emerged as one of the most prominent disciples of Ramakrishna Paramahansa.
• Born in 1863, Swami Vivekananda propagated the belief that all religions emphasize the unity of God and the equality of humanity.
• Following Ramakrishna's passing, Swami Vivekananda played a pivotal role in popularizing his teachings and establishing both the Ramakrishna Order and the Ramakrishna Mission.
• The Ramakrishna Order offers spiritual guidance to both householders and monastics, while the Ramakrishna Mission is dedicated to charitable endeavors, education, and social welfare.
• Functioning as a non-profit organization, the Ramakrishna Mission aims to facilitate individuals in their quest for spiritual enlightenment and salvation.

Important Points

• Dayanand Saraswati was an eminent Indian philosopher, social reformer, and the founder of the Arya Samaj, a movement aimed at revitalizing Hinduism. His seminal work, "Satyarth Prakash," remains a cornerstone text, offering profound insights into Vedic philosophy and elucidating various human duties and concepts.
• Swami Sahajananda, a notable Indian politician, served as a Member of the Legislative Assembly of Tamil Nadu. He represented the Chidambaram constituency as an Indian National Congress candidate in both the 1952 and 1957 elections, contributing significantly to the state's legislative proceedings.
• Swami Shraddhanand, also known as Mahatma Munshi Ram Vij, was a revered Arya Samaj sannyasi and a prominent figure in India's struggle for independence. He dedicated his life to promoting the teachings of Dayanand Saraswati and played a pivotal role in advocating social reform and national awakening.

The correct answer is National Waterway 1.

Key Points

• National Waterway 1 runs from Haldia to Prayagraj.
• The National Waterway 1 (NW-1), also known as the Ganga-Bhagirathi-Hooghly river system, spans from Prayagraj in Uttar Pradesh to Haldia in West Bengal, traversing through Patna and Bhagalpur in Bihar along the Ganges river.
• Stretching over 1,620 km (1,010 mi), NW-1 holds the distinction of being India's longest waterway.
• Renowned for its strategic location, NW-1 passes through several states including West Bengal, Jharkhand, Bihar, and Uttar Pradesh, connecting major cities
• Designated as a national waterway in October 1986, NW-1 facilitates navigation by mechanical boats up to Patna, playing a pivotal role in inland water transportation in India.

Important Points

• National Waterway 2 (NW-2) is a segment of the Brahmaputra River stretching over 891 kilometers. It extends from the Bangladesh border near Dhubri to Sadiya in Assam. Officially designated as NW-2 on September 1, 1988, this waterway plays a crucial role in inland navigation in the northeastern region of India.
• National Waterway 3 (NW-3) spans 205 kilometers and serves as an inland navigational route in Kerala, India. Running from Kollam to Kottapuram, NW-3 was declared a National Waterway in 1993, facilitating transportation and trade within the state of Kerala.
• National Waterway 4 (NW-4) covers a distance of 1,095 kilometers, linking the Indian states of Telangana, Andhra Pradesh, Tamil Nadu, and the union territory of Puducherry. This waterway connects the Krishna and Godavari rivers, serving as a vital transportation route for cargo and passenger movement in the region.

The correct answer is Business and Enhancing skill Development.

Key Points

• Business and Enhancing skill Development component is NOT related to the New India Literacy Programme.
• The government has initiated the "New India Literacy Programme" (NILP), a Centrally Sponsored Scheme, set to run over five years from FYs 2022-23 to 2026-27.
• With a total financial outlay of Rs. 1037.90 crore, comprising a Central share of Rs. 700.00 crore and a State share of Rs. 337.90 crore, the scheme aims to target 5.00 crore non-literates aged 15 years and above.
• NILP comprises five key components: Foundational Literacy and Numeracy, Critical Life Skills, Vocational Skills Development, Basic Education, and Continuing Education.
• Beneficiaries are identified through door-to-door surveys conducted via a Mobile App by designated surveyors in the States/UTs.
• Alternatively, non-literates can register directly from any location via the mobile app to avail scheme benefits. Notably, the scheme hinges on volunteerism for teaching and learning, with volunteers able to register through the mobile app for this purpose.

Important Points

• The scheme is primarily technology-driven and relies heavily on online platforms for implementation.
• Teaching and learning materials and resources are accessible through the DIKSHA platform of NCERT via mobile apps.
• Additionally, alternative dissemination modes such as television, radio, and Samajik Chetna Kendra are also employed to spread Foundational Literacy and Numeracy.
• The scheme is inclusive, targeting all non-literates aged 15 years and above, ensuring widespread access to its benefits.

The correct answer is Mahanadi.

Key Points

• The Mahanadi River begins its journey near Sihawa in the Raipur district of Chhattisgarh, then courses through Odisha before eventually reaching the Bay of Bengal.
• Regarded as one of the major east-flowing peninsular rivers in India, the Mahanadi holds significant importance, particularly in the state of Chhattisgarh.
• Stretching approximately 851 kilometers in length, it originates from the Shrungi mountains in Sihawa Tehsil of Dhamtari district.
• The river is also known by various names such as Kanaknandini, Chitrapalal, and Mahasweta.
• Prior to the construction of the Hirakud Dam, the Mahanadi River was navigable from its mouth all the way up to Arrang, situated approximately 250 kilometers from its source.

Important Points

• The Krishna River, coursing through the Deccan plateau, ranks as India's third-longest river, trailing only the Ganges and Godavari. It stands as the fourth-largest river in terms of both water inflows and river basin area in the country, following the Ganges, Indus, and Godavari.
• The Godavari River, stretching 1,465 kilometers, claims the title of India's second-longest river, surpassed only by the Ganga. It boasts the largest Peninsular river system and drains the third largest basin in India, encompassing approximately 10% of the nation's total geographical area.
• The Kaveri, also recognized as the Cauvery or its anglicized name, emerges as one of India's major rivers, traversing through the states of Karnataka and Tamil Nadu.

The correct answer is Pradhan Mantri Gram Sadak Yojana.

Key Points

• The Pradhan Mantri Gram Sadak Yojana (PMGSY), initiated by the Government of India, aims to enhance connectivity to previously unlinked habitations as a key component of poverty alleviation efforts.
• The government endeavors to establish rigorous technical and managerial standards while facilitating policy development and planning at the state level to ensure the sustainable management of rural road networks.
• As per the latest data provided by state governments through a survey conducted to identify the Core Network under the PMGSY program, approximately 1.67 lakh unconnected habitations are deemed eligible for inclusion in the program.
• This entails the construction of around 3.71 lakh kilometers of new roads for connectivity purposes and the upgrading of 3.68 lakh kilometers of existing roads.

Important Points

• The Prime Minister's Rural Development Fellows (PMRDF) scheme is a collaborative initiative between the Ministry of Rural Development (MoRD) and state governments aimed at diminishing poverty and enhancing the quality of life for individuals residing in rural India.
• The Swarnjayanti Gram Swarozgar Yojana (SGSY) is a governmental scheme established by the Ministry of Rural Development in April 1999 with the objective of assisting economically disadvantaged families in rural areas to achieve self-employment.
• The National Rural Livelihoods Mission (NRLM) is a comprehensive poverty alleviation program implemented in India, focusing on empowering rural communities and fostering sustainable livelihoods.

The correct answer is Tansen.

Key Points

• Miyan Tansen, a distinguished classical music composer, musician, and vocalist, is credited with creating the popular raga Miyan Ki Malhar during the 16^th century.
• He held a prominent position in the court of the Mughal Emperor Akbar and was revered as the "Sangeet Samrat" or the "Monarch of Indian Music".
• Miyan Ki Malhar, a monsoon raga, is often employed to herald the arrival of the monsoon season and to invoke rainfall.
• The melodic patterns of this raga have the ability to emulate the rumbling thunder of clouds and the cascading torrents of rain.
• Malhar, an ancient raga in Indian classical music, is deeply associated with the onset of torrential rains and is renowned for its evocative portrayal of the monsoon season.

Important Points

• Amir Khusrau was a prominent Indo-Persian Sufi singer, musician, poet, and scholar who thrived during the era of the Delhi Sultanate. Revered as an iconic figure in the cultural heritage of South Asia, he was renowned for his mysticism and spiritual devotion as a disciple of Nizamuddin Auliya of Delhi, India.
• Meera, also known as Mirabai, was a revered Hindu mystic poet and devotee of Lord Krishna during the 16^th century. Venerated as Sant Meerabai, she remains a celebrated Bhakti saint, especially within the North Indian Hindu tradition.
• Ustad Zakir Hussain, an eminent figure in the realm of Indian classical music, is recognized as a tabla player, composer, percussionist, music producer, and film actor. He is the eldest son of the legendary tabla player Alla Rakha and is widely regarded as one of the greatest tabla players in history.

The correct answer is Stevenson screen.

Key Points

• A Stevenson screen serves as a protective shelter for meteorological instruments, such as wet and dry bulb thermometers, safeguarding them from direct sunlight and precipitation while facilitating free airflow.
• These screens are typically constructed from wood and painted white to reflect solar radiation effectively.
• Featuring louvered sides, Stevenson screens enable unrestricted air circulation around the thermometers, ensuring accurate temperature measurements.
• Moreover, they are strategically positioned 1.25 meters above the ground to minimize the influence of strong temperature gradients present at ground level.
• Thomas Stevenson, a notable Scottish civil engineer, credited with the design of the Stevenson screen in 1864. He is also recognized as the father of the renowned writer Robert Louis Stevenson.

Additional Information

• Thomas Stevenson was a pioneering Scottish civil engineer, renowned for his contributions to lighthouse design and meteorology. He designed over thirty lighthouses in and around Scotland, as well as the Stevenson screen used in meteorology.
• His innovative designs revolutionized lighthouse construction and set a new standard in the field.
• Stevenson held prestigious positions throughout his career, including serving as president of the Royal Scottish Society of Arts from 1859 to 1860 and as president of the Royal Society of Edinburgh from 1884 to 1886.
• Additionally, he played a key role as a co-founder of the Scottish Meteorological Society.

The correct answer is Arpinder Singh.

Key Points

• Arpinder Singh was NOT awarded the Arjuna Award in 2022.
• Arpinder Singh secured a Gold Medal for India in the Men's triple jump event at the Asian Games in Jakarta, marking the end of a 48-year hiatus since India last achieved this feat.
• The previous champion was Mohinder Singh Gill in 1970.
• Prior to his victory in Jakarta, Arpinder's most recent medal was a bronze in the 2014 Commonwealth Games held in Glasgow.
• Lakshya Sen, Sushila Devi and HS Prannoy were awarded the Arjuna Award in 2022.

Important Points

• Lakshya Sen is a prominent Indian badminton player, having previously held the title of world junior no. 1. He achieved gold medals at the 2018 Asian Junior Championships in the boys' singles category and at the Summer Youth Olympics in the mixed team event.
• Shushila Devi Likmabam represents India in judo and earned the silver medal in the women's 48 kg weight class at the judo event during the 2014 Commonwealth Games in Glasgow.
• Prannoy Haseena Sunil Kumar, also known as H. S. Prannoy, is an accomplished Indian badminton player who is currently undergoing training at the Gopichand Badminton Academy in Hyderabad. His notable achievements include winning the bronze medal at the 2023 World Championships.

The correct answer is 3.

Key Points

• Article 3 of the Indian Constitution outlines the process for the formation of new States and the alteration of areas, boundaries, or names of existing States.
• In this regard, the Parliament may enact laws to:
• Form a new State by separation of territory from any State or by uniting two or more States or parts of States or by uniting any territory to a part of any State.
• Increase the area of any State.
• Diminish the area of any State.
• Alter the boundaries of any State.
• Alter the name of any State.
• These provisions empower the Parliament to undertake significant changes in the territorial structure and nomenclature of States within the Indian Union.

Important Points

• Article 4 of the Constitution of India enables changes to be made to the names of states in the Union of India and the allocation of seats each state receives in the Rajya Sabha. Additionally, it addresses incidental, supplemental, and consequential matters related to these changes.
• Article 5 of the Constitution of India, 1950, addresses citizenship at the commencement of the Constitution.
• Article 6 of the Constitution deals with the citizenship status of individuals who migrated from Pakistan to India during the partition between India and Pakistan.

The correct answer is Ethynyl.

Key Points

• Ethynyl compounds having the molecular formula C2H is derived from the hydride of acetylene.
• Ethynyl, characterized as a terminal acetylenic compound and an organic radical, serves as a functional group in organic chemistry with the formula −C≡CH.
• The ethynyl radical, with the chemical formula C≡CH, is a straightforward molecule found abundantly in the interstellar medium but is not naturally occurring on Earth.
• Acetylene, a hydrocarbon and the simplest alkyne, exists as a colorless gas extensively employed as both a fuel and a fundamental chemical building block.

Important Points

• Propargyl serves as a functional group in organic chemistry, featuring the structure CH≡C−CH₂.
• It is an alkyl group derived from propyne. Vinyl is a chemical compound obtained from ethylene and chlorine. Widely recognized as the world's most versatile plastic, it finds application in various products including food wrap, flooring, siding, wall covering, and auto body parts.
• In organic chemistry, an allyl group is a substituent with the structural formula −CH₂−HC=CH₂. This name is derived from Allium sativum, the scientific name for garlic.

The correct answer is Mir Saman.

Key Points

• Khan-i-Saman, alternatively known as Mir-i-Saman, held the esteemed position of overseeing the Mughal Empire's imperial household.
• This household, also referred to as the karkhanas, encompassed various factories and stores owned by the central government.
• As the head of the imperial household, Khan-i-Saman had multifaceted responsibilities, which included managing the karkhanas, overseeing stores, maintaining order, managing interactions, and handling internal relations.
• The Mughal imperial household accommodated the emperor, his wives, concubines, and relatives. Female servants and slaves were also part of the household staff, serving the needs of its members.

Important Points

• Mir Bakshi held the esteemed position of leading the Military Administration within the Mughal Empire. His duties encompassed gathering intelligence and providing recommendations regarding military appointments and promotions.
• In the Mughal Administration, the Mir-i-Atish served as the Head of the ordinance department, responsible for overseeing matters related to weaponry and artillery.
• Mir-i-Bahar was tasked with overseeing customs, as well as managing boats, ferry taxes, and port duties in coastal towns within the Mughal Empire.

The correct answer is Gurunaidu Sanapathi.

Key Points

• Gurunaidu Sanapathi won the gold medal at International Weightlifting Federation's youth world championship in June 2022.
• At the IWF Youth World Championships held in Leon, Mexico, Indian weightlifter Saanapathi Gurunaidu clinched the gold medal in the men’s 55-kilogram category event.
• Additionally, on the opening day of the IWF competition, two other Indian weightlifters, Vijay Prajapati and Akanksha Kishor Vyavhare, secured silver medals.
• Saanapathi achieved a total lift of 230 kilograms, earning him the gold medal in the men’s 55-kilogram event. He secured the silver medal in the Snatch category with a lift of 104 kg and the gold medal in the Clean and Jerk category with a lift of 126 kilograms.
• Vijay, competing in the Men’s 49-kilogram event, lifted a total of 175 kilograms, securing the second position. In the Snatch category, he lifted 78 kilograms, while in the Clean and Jerk category, he lifted 97 kilograms.
• In the Women’s 40-kilogram division, Akanksha claimed the gold medal. She achieved a total lift of 127 kilograms, earning her the silver medal after finishing first in the Snatch section with a lift of 59 kilograms and third in the Clean and Jerk section with a lift of 68 kilograms.

Important Points

• The IWF Youth World Championships is organized by the International Weightlifting Federation (IWF).
• The inaugural competition took place in May 2009, marking the beginning of this prestigious event.
• The upcoming edition of the Youth World Weightlifting Championships is scheduled to be held in Lima, Peru, in 2024.
• Previously, the 2023 Youth World Weightlifting Championships were hosted in Durrës, Albania, from March 25 to April 1, 2023.
• Similarly, the 2022 championships were held in León, Mexico, from June 11 to 18, 2022.

The correct answer is Sattriya.

Key Points

• Ranjumoni Saikia was awarded the Sangeet Natak Akademi Award 2019 for her contribution to Sattriya.
• Among the 168 winners from Assam were Sattriya dancer Ranjumoni Saikia, actor Pranjal Saikia, director Abinash Sharma, theatre artist Gunindra Nath Ojha, and folk artist Prashanna Gogoi.
• Sattriya dancer Ranjumoni Saikia, actor Pranjal Saikia, and director Abinash Sharma were specifically recognized as the recipients of the prize in 2019.
• Sattriya Nritya, commonly referred to as Sattriya, is a classical Indian dance form with roots dating back over 500 years in Assam.
• It holds a distinguished status as one of the eight principal classical dance styles of India.
• Introduced in the 15^th century by Mahapurusha Sankaradeva, a revered Vaishnava saint and reformer from Assam, Sattriya was initially conceived as an integral component of Bhaona.
• Bhaona encompasses performances of one-act plays known as Ankiya Nat. Sattriya serves as a potent medium for propagating the Vaishnava faith, embodying spiritual themes and expressions.

Important Points

• The Sangeet Natak Akademi Award, also known as the Akademi Puraskar, is a prestigious honor bestowed by the Sangeet Natak Akademi, India's National Academy of Music, Dance & Drama.
• Regarded as the highest recognition in the Indian performing arts realm, this award acknowledges individuals for their outstanding contributions.
• Initially instituted in 2003, the award comprised a cash prize of Rs. 50,000, along with a citation, an angavastram (a shawl), and a tamrapatra (a brass plaque).
• However, since 2009, the cash prize has been enhanced to ₹1,00,000.
• These accolades are conferred across various categories including music, dance, theatre, other traditional arts and puppetry, as well as for noteworthy contributions or scholarship in the field of performing arts.

The correct answer is Seaborgium.

Key Points

• Seaborgium, with the atomic number 106, is classified as a transuranium element. It is artificially created by bombarding californium^-249 with oxygen^-18 nuclei.
• As a synthetic element, seaborgium is solid at room temperature and belongs to the transition metal group. Its most stable isotope, seaborgium^-266, has a half-life of 27.3 seconds.
• In 1994, the proposal to name element 106 "seaborgium" was made in tribute to Glenn T. Seaborg, the scientist credited with discovering the transuranium elements.
• Seaborg, an American chemist, was awarded the 1951 Nobel Prize in Chemistry for his pioneering work in the field.

Important Points

• Dubnium (Db) is an artificially generated radioactive transuranium element situated in Group Vb of the periodic table, with an atomic number of 105. The discovery of dubnium, much like that of rutherfordium (element 104), has been the subject of contention between Soviet and American scientists.
• Hassium (Hs) is another artificially produced element belonging to the transuranium group, with an atomic number of 108. It was first synthesized and identified in 1984 by researchers from West Germany at the Institute for Heavy Ion Research (Gesellschaft für Schwerionenforschung [GSI]) in Darmstadt.
• Copernicium is a synthetic chemical element characterized by the symbol Cn and atomic number 112. Its known isotopes are profoundly radioactive and have exclusively been generated within laboratory settings.

Given:

A seller sold a bag at a profit of 12%.

Concept used:

CP × (100 + Profit)% = Selling price

Calculation:

Let the CP of the bag be 100x

According to the question,

100x × 1.12 + 900 = 100x × 1.27

⇒ 112x + 900 = 127x

⇒ 900 = 15x

⇒ x = 60

⇒ 100x = 6000

∴ The CP of the bag is ₹6,000.

Given:

(3x - 2y) (3x + 2y) (9x2 + 4y2)

Concept used:

a² - b² = (a + b)(a - b)

Calculation:

(3x - 2y) (3x + 2y) (9x2 + 4y2)

⇒ {(3x)² - (2y)²} (9x2 + 4y2)

⇒ {9x2 - 4y2} (9x2 + 4y2)

⇒ 81x4 - 16y4

∴ The required answer is 81x4 - 16y4.

Given:

A and B are running on a circular track of length 1400 metres.

The speed of A is 33 m/sec and the speed of B is 47 m/sec.

Concept used:

The relative speed of two objects, when they are moving in the opposite, directs = Sum of their speeds

Calculation:

If they are meeting for the second time, then the total distance traveled by them = 2 × 1400 = 2800 metres.

The relative speed of 'A' and 'B' = 33 + 47 = 80 m/sec

Required time taken to meet for the second time =  2800 ÷ 80 = 35 sec

∴ They will meet for the second time after 35 sec.

Given:

The average weight of 48 students is 64 kg

The average weight of 32 students is 24 kg

Concept used:

Average = (The sum of all items)/(The total number of items)

Calculation:

The total weight of 64 students = 64 × 48 = 3072

The total weight of 32 students = 32 × 24 = 768

The combined average weight of the classes = (3072 + 768)/(96) = 40 kg

∴ The average weight of both classes combined is 40 kg.

Given:

An arc of length 33 π cm subtends an angle of 132° at the centre of the circle.

Concept used:

Length of an arc = $\frac{θ}{360°}×2πr$

Calculation:

Let the radius of the circle be r

$\frac{132^o}{360^o} \times 2\pi r=33\pi$

⇒ 8r = 360

⇒ r = 45

So, the radius of the circle = 45 cm

∴ The radius of the circle is 45 cm.

Given:

Selling price = Rs. 3,068.5

Concept used:

Selling price = Marked price × (100 - Discount)%

Calculation:

Let the Marked price be 100a

According to the question,

100a × 0.95 × 0.85 = 3068.5

⇒ 80.75a = 3068.5

⇒ a = 38

⇒ 100a = 3800

So, the marked price = Rs. 3,800

∴ The marked price is Rs. 3,800.

Given :

Compound Interest = 5,044

Rate = 10% per annum

Time = 1.5 years

Formula Used :

CI = P [(1 + r/100)T - 1]

Where P = Principle, r = Rate, T = Time

Calculation :

Since interest is compounded half-yearly

Hence r = 10% / 2 = 5% per half-year

And T = 1.5 × 2 = 3 half-years

Using formula, 5044 = P [(1 + 5/100)³ - 1]

⇒ 5044 = P [(1 + 1/20)³ - 1]

⇒ 5044 = P [(9261/8000) - 1]

⇒ 5044 = P [(9261 - 8000) / 8000]

⇒ 5044 = P × 1261 / 8000

⇒ 5044 × 8000 / 1261 = P

⇒ 32000 = P

∴ Total sum is 32,000.

Given:

a ∶ b  = 3 ∶ 7

Calculation:

Let a and b be 3k and 7k, respectively

(2a + 3b) ∶ (3a + 2b)

⇒ (2 × 3k + 3 × 7k) ∶ (3 × 3k + 2 × 7k)

⇒ (27k) : (23k)

⇒ 27 : 23

∴ The required answer is 27 : 23.

Calculation:

Let, Total no. of students in 2021 = x

Total no. of students in 2022 = y

So, number of pharmaceutical sciences in 2022 = 25.2y

Number of pharmaceutical sciences in 2021 = 32.4x

Number of students opting for agriculture in 2022 = 25.2y

Number of students opting for agriculture in 2021 = 21.6x

According to the question,

25.2y = 32.4x + 180     ---(1)

⇒ y = (32.4x + 180)/25.2     ---(2)

25.2y = 21.4x + 1380     ---(3)

Comparing equations (1) and (3), we get

32.4x + 180 = 21.6x + 1380

⇒ 32.4x - 21.6x = 1380 - 180

⇒ 10.8x = 1200

⇒ x = 1200/10.8 = 111.11° 

Putting the value of x in equation (2), we get

So, y = ((32.4 × 1200)/10.8 + 180)/25.2 = 150° 

Now, difference between no. of students in 2021 and 2022 = (150 - 111.11) × 360 

⇒ 13996.4 ≈ 14000

∴ The positive difference between the total number of students in 2021 and 2022 was 14000.

Given:

A sum of money at Simple Interest amounts to ₹750 in 3 years.

The same money amounts to ₹825 in 4 years.

Formula used:

Simple interest = (Principal × rate × time)/100

Calculation:

Simple interest for 1 year = 825 – 750 

⇒ 75

Simple interest for 3 year = 75 × 3

⇒ 225

The sum is = 750 – 225

⇒ ₹525

∴ The sum is ₹525.

Given :

The inner radius of the bowl r1 = 4 cm

The thickness of the bowl = 1 cm

The outer radius of the bowl r2 = 4 + 1 = 5 cm

Formula Used :

Volume of hemisphere = (2/3) πr3

Calculation :

The volume of steel used in the bowl (V) = Volume of the outer hemisphere - Volume of the inner hemisphere

⇒ V = (2/3) πr23 - (2/3) πr13

⇒ V = (2/3) ×  π × (r23 - r13)

⇒ V = (2/3) ×  π × (53 - 43)

⇒ V = (2/3) × π × (125 - 64)

⇒ V = (122/3) × π 

⇒ V = $40 \frac{2}{3} \pi$

∴ The volume of the steel used in the bowl = $40 \frac{2}{3} \pi$ cm3.

Given:

Three angles of a triangle are (x - 15)°, (x + 45)° and (x +  60)°

Concept used:

The sum of all angles in the triangle is 180°

Calculation:

x – 15 + x + 45 + x + 60 = 180

⇒ 3x + 90 = 180

⇒ 3x = 90 

⇒ x = 30

So, the angles of the triangle = 15°, 75°, 90°

So, the triangle is a Right angle triangle

∴ The required answer is the Right angle triangle.

Given:

cosecA + cotA = a√b

Concept:

We'll use trigonometric identities to manipulate the given equation and express it in terms of sinA and cosA

Formula Used:

cosecA = 1/sinA,

cotA = cosA/sinA

sin²A + cos²A = 1

Calculation :

cosecA + cotA = a√b

 1/sinA + cosA/sinA = a√b

(1 + cosA)/sinA = a√b

Now, we'll square both sides of the equation

{(1 + cosA)/sinA}² = (a√b)²

$\frac{(1 + cosA)^2}{sin^2 A} = a^2b$

$\frac{1 + 2cosA + cos^2A}{1 - cos^2 A} = a^2b$        __________Eqn 1

Subtracting  -1 in both sides, we gets

$\frac{1 + 2cosA + cos^2A}{1 - cos^2 A} - 1= a^2b -1$

$\frac{1 + 2cosA + cos^2A -1+cos^2A}{1 - cos^2 A} = a^2b-1$

$\frac{ 2cosA + 2cos^2A}{1 - cos^2 A} = a^2b-1$

= $\frac{ 2cosA(1 + cosA)}{1 - cos^2 A} = a^2b-1$     ________Eqn 2

Adding +1in both sides to eqn1 

$\frac{1 + 2cosA + cos^2A} {1 - cos^2 A} +1= a^2b+1$

$\frac{1 + 2cosA + cos^2A +1-cos^2A}{1 - cos^2 A} = a^2b+1$

$\frac{2+ 2cosA }{1 - cos^2 A} = a^2b+1$

= $\frac{2(1+ cosA) }{1 - cos^2 A} = a^2b+1$    _______ Eqn3

Now, dividing eqn2 and eqn3

$\frac{ \frac{ 2cosA(1 + cosA)}{1 - cos^2 A}}{\frac{2(1+ cosA) }{1 - cos^2 A}}=\frac{ a^2b-1}{ a^2b+1}$

cosA = $\frac{ a^2b-1}{ a^2b+1}$

So, the answer is cosA

Given:

$\left(\frac{2+7 \times 7 \div 9 \text { of } 9+6 \div 6 \times 2}{4 \div 4 \text { of } 5+7 \times 7 \div 7-6+4}\right)$

Calculation:

$\left(\frac{2+7 \times 7 \div 9 \text { of } 9+6 \div 6 \times 2}{4 \div 4 \text { of } 5+7 \times 7 \div 7-6+4}\right)$

⇒ $\left(\frac{2+7 \times 7 \div81+6 \div 6 \times 2}{4 \div 20+7 \times 7 \div 7-6+4}\right)$

⇒ $\left(\frac{2+7 \times \frac{7}{81}+1 \times 2}{\frac{1}{5}+7 \times 1-6+4}\right)$

⇒ $\left(\frac{2+\frac{49}{81}+2}{\frac{1}{5}+7-6+4}\right)$

⇒ $\left(\frac{\frac{373}{81}}{\frac{26}{5}}\right)$

⇒ $\frac{1865}{2106}$

∴ The required answer is $\frac{1865}{2106}$.

Given:

tan A = $\frac{3}{4}$

Concept used:

Hypotenuse² = Perpendicular² + Base²

sinθ = (P/H)

tanθ = (P/B)

Calculation:

tan A = $\frac{P}{B}=\frac{3}{4}$

So, H = √(3² + 4²)

⇒ H = √(9 + 16)

⇒ H = √25 = 5 cm

Now,

$\frac{6 \sin A}{1-\sin A}$=  $\frac{\frac{6 \times 3}{5}}{1-\frac{3}{5}}$

⇒ $\frac{6 \sin A}{1-\sin A}$ = $\frac{\frac{18}{5}}{\frac{5-3}{5}}$

⇒ $\frac{6 \sin A}{1-\sin A}$ = $\frac{18}{2}$ = 9

∴ The required answer is 9.

Given:

Raju and Akber take 4 hours and 6 hours to type 32 pages and 48 pages, respectively,

Calculation:

Let's first find the typing rates of Raju and Akber in terms of pages per hour:

Raju's typing rate = (32/4) = 8 pages per hour 

Akber's typing rate = (48/6) = 8 pages per hour = 8 pages per hour 

Now, if they work together, their combined typing rate = 8 + 8 = 16 pages per hour

Required time = 256/16 = 16 hours

∴ They will take 16 (in hours) to complete the assignment.

Given:

Triangle ABC is an isosceles triangle with AB = AC

∠BAC = 50°

Concept used:

If two angles are congruent in an isosceles triangle, then the sides opposite to them are also congruent. 

Calculation:

As AB = AC, then ∠ABC = ∠ACB

So, ∠ABC = (180° - 50°)/2

⇒ 65°

∴ The measure of angle ABC is 65°.

Given:

Average speed = 40 km/h

Time taken = 7 hours

Concept used:

Distance = Time × speed

Calculation:

Total distance = 40 × 7 = 280 km

Required average speed = 280 ÷ 5 = 56 km/h

∴ I can reach the same destination in 5 hours at 56 km per hour.

Given:

Selling price of the article = Rs. 864

Discount % = 25

Concept used:

Marked price × (100 - Discount)% = Selling price

Calculation:

Let the marked price of the article be 100x

According to the question,

100x × 0.75 × 0.75 = 864

⇒ 56.25x = 864

⇒ x = 864 ÷ 56.25 = 15.36

⇒ 100x = 1536

So, discount = 1536 - 864 = 672

∴ The discount (in Rs.) is 672.

Given:

Percentage of total salary budget used for sales department = 30%

Average salary of an employee in the sales department = Rs. 48,000

Total number of employees = 7200

Percentage of workforce in the sales department = 20%

Calculation:

⇒ Number of employees in sales department = 20% of 7200

⇒ Number of employees in sales department = 0.20 × 7200

⇒ Number of employees in sales department = 1440

⇒ Total salary of sales department = Number of employees in sales department × Average salary

⇒ Total salary of sales department = 1440 × 48000

⇒ Total salary of sales department = Rs. 69120000

⇒ Total salary budget = Rs. 69120000 / 0.30

⇒ Total salary budget = Rs. 230400000

⇒ Total salary budget in crores = Rs. 230400000 / 10000000

⇒ Total salary budget in crores = 23.04

∴ The total salary budget is Rs. 23.04 crores.

Given:

In a right - angled triangle PQR, PQ = 5 cm, QR = 13 cm and ∠P = 90°.

Concept used:

tanθ = $\frac{P}{B}$

Here, P = perpendicular, B = Base

Calculation:

PR = √(13² - 5²)

⇒ PR = √144 = 12 cm

Now,

tan Q - tan R = $\frac{12}{5} - \frac{5}{12}$

⇒ $\frac{144-25}{60}$

⇒ $\frac{119}{60}$

∴ The required answer is $\frac{119}{60}$.

Calculation:

Total number of challans in Maharashtra = 1600 + 1400 = 3000

Total number of challans in Himachal Pradesh = 200 + 400 = 600

Total number of challans in Odisha = 100 + 300 = 400

Required percentage = {3000/(600 + 400)} × 100 = 300

∴ The required answer is 300%.

Given:

(5p + 3q) (5p - 3q)

Concept used:

a² - b² = (a + b)(a - b)

Calculation:

(5p + 3q) (5p - 3q)

⇒ (5p)² - (3q)²

⇒ 25p2 - 9q2

∴ The required answer is 25p2 - 9q2.

Given:

Height of the building = 11.25 m

Distance of the tree from Suhas = 7.5 m

Distance of the tree from the building = 45 m

Height of Suhas's eyes from the ground = 1.8 m

Calculation:

Distance of Suhas from the building = 7.5 m + 45 m = 52.5 m

The length of BC = 11.25 - 1.80 = 9.45

Now In the triangle, ABC,

⇒ tan θ = 9.45/52.5.....(1)

Now In the triangle, AGH.

⇒ tan θ = x/7.5.....(2)

From 1 and 2

⇒ x/7.5 = 9.45/52.5.

⇒ x = 1.35 m

⇒ Height of the tree = 1.35 m + 1.8 m

⇒ Height of the tree = 3.15 m

∴ The height of the tree is 3.15 m.

Given:

p2 - 4p − 1 = 0

Concept used:

$(a - \frac{1}{a})^2 = a^2 + \frac{1}{a^2}-2$

Calculation:

p2 - 4p − 1 = 0

⇒ p2 − 1 = 4p

⇒ $p -\frac{1}{p}=4$

By squaring both sides we get,

$p^2 +\frac{1}{p^2}-2=16$

⇒ $p^2 +\frac{1}{p^2}=18$

Now,

p2 + 3p + $\frac{1}{p^2}-\frac{3}{p}$ = 18 + 4 × 3

⇒ 18 + 12

⇒ 30

∴ The required answer is 30.

The correct answer is: Modest.

Key Points

• The word "pompous" refers to someone who is overly self-important or arrogant; showing off in an attempt to impress others. (आत्ममुग्ध)
• Example: The CEO's pompous speech about his own success left many employees feeling disconnected.
• "Modest" refers to someone who does not boast about their abilities or achievements and tends to be unassuming or humble in nature. (विनम्र)
• Example: Despite her many achievements, she remained modest and always credited her team for their hard work.
• Hence, we can infer that the opposite of 'pompous' is 'modest'.

Therefore, the correct answer is: Modest.

Additional Information

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

• Lofty (उच्च): Of imposing height; especially impressively high or tall.
• Example: The lofty mountains surrounding the village create a breathtaking view.
• Grandiose (भव्य ): Impressive or magnificent in appearance or style, especially pretentiously so.
• Example: The billionaire's grandiose mansion was filled with priceless art and lavish decorations.
• Haughty (घमंडी): Arrogantly superior and disdainful.
• Example: His haughty demeanor made it difficult for others to approach him with their ideas.

The correct answer is: Option 3.

Key Points

• The word "Souvenir" refers to a thing that is kept as a reminder of a person, place, or event. (स्मारिका)
• Example: She bought a small model of the Eiffel Tower as a souvenir from her trip to Paris.
• The word "Suseptible" is incorrectly spelt. The correct spelling is "Susceptible", which means likely or liable to be influenced or harmed by a particular thing. (संवेदनशील)
• Example: Children are more susceptible to the effects of poor nutrition.
• Hence, the incorrect spelling is "Suseptible", making option 3 the correct answer.

Therefore, the correct answer is: Option 3.

Additional Information

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

• Symbolise (प्रतीक): To represent something.
• Example: The dove symbolises peace in many cultures.
• Sympathetic (सहानुभूतिपूर्ण): Feeling, showing, or expressing sympathy.
• Example: She was sympathetic towards the plight of the homeless.

The correct answer is 'Option 1' i.e. He was younger than his brother is the correct version.

Key Points

• The original sentence "He was youngest than his brother." is incorrect because it improperly uses "youngest" in a comparative context.
• The correct comparative form when comparing two entities is "younger" not "youngest," which is used for superlative comparisons among three or more entities.
• The preposition "than" is correctly used in comparisons, making "younger than" the appropriate phrase to use.
• The correct sentence structure for comparing the age of two people is "Subject + was + younger than + object."

Hence, the correct answer is option 1.

Correct sentence: He was younger than his brother.

Additional Information

• "He was youngest to his brother." - This option is incorrect because "youngest" is a superlative form and "to" is not the correct preposition for comparison in this context.
• "He was too young than his brother." - This option is grammatically incorrect because "too" is not used in standard comparative structures, and "than" is misused here.
• "He was young to his brother." - This option lacks a comparative form and incorrectly uses the preposition "to" for comparison.

The correct answer is: Casual.

Key Points

• The word "enthusiastic" means having or showing intense and eager enjoyment, interest, or approval; it suggests a lively or eager interest in something. (उत्साही)
• Example: She was always enthusiastic about attending art workshops.
• "Casual" refers to something done without much thought or seriousness, showing little concern; it implies a relaxed or indifferent attitude. (अनौपचारिक)
• Example: His casual approach to the project resulted in many mistakes.
• Hence, we can infer that the opposite of 'enthusiastic' is 'casual'.

Therefore, the correct answer is: Casual.

Additional Information

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

• Obsessed (जुनूनी): Preoccupied with or constantly worrying about something.
• Example: He became obsessed with the idea of finding a lost city in the jungle.
• Anxious (चिंतित): Feeling worried, nervous, or uneasy about something with an uncertain outcome.
• Example: She was anxious about her exams despite her thorough preparation.
• Inclined (प्रवृत्त): Feeling willing or favorably disposed towards an action, belief, or attitude.
• Example: He was inclined to agree with their proposal after hearing all the details.

The correct answer is 'Option 2' i.e. 'The officers talked about this in the meeting' is the sentence rewritten in active voice.

Key Points

• The original sentence is in passive voice, indicated by the structure 'was talked about by the officers'.
• To convert to active voice, the subject ('the officers') performs the action of the verb ('talked about').
• The correct active voice construction places the subject at the beginning, followed by the verb and then the object ('this').
• Option 2 correctly rearranges the sentence into active voice without changing its original meaning.

Hence, the correct answer is option 2.

Correct sentence: 'The officers talked about this in the meeting'.

Additional Information

• Option 1 ('The officers were talking about in the meeting') is incorrect because it lacks an object for 'talking about' and does not clearly convert the sentence to active voice.
• Option 3 ('The officers in the meeting had talked about it') changes the tense to past perfect, which is not necessary for converting the given sentence to active voice.
• Option 4 ('The officers talk about this in the meeting') uses the present tense, which changes the meaning of the original sentence that is in the past tense.

The correct answer is 'Option 3' i.e. it is evident that a lot more women have been opting for professional courses.

Key Points

• The original phrase "From a recent research, evident is it" is awkward and incorrectly structured.
• The correct phrase should start with the subject and follow the natural order of English sentences.
• "It is evident that" is the correct beginning for the sentence, making it clear and concise.
• The phrase "a lot more women" correctly indicates an increase in the number of women choosing professional courses.