Delhi Police Head Constable (Ministerial) 13 Oct 2022 Shift 1 Official Paper (Previous Year Paper)

The correct answer is 24.

Key Points

• Sushil Chandra
• Shri Sushil Chandra assumed office as the 24^th Chief Election Commissioner of India on 13^th April 2021.
• Shri Chandra belongs to the 1980 Batch of the Indian Revenue Service.
• Shri Chandra has been Election Commissioner in ECI since 15^th February 2019.
• He replaces Sunil Arora who has retired.
• The current Chief Election Commissioner of India is Rajiv Kumar.

The correct answer is Kerala.

Key Points

• According to the 2011 Census, the state with the highest female literacy rate in India was Kerala.
• The female literacy rate in Kerala was reported as 92.07%, which was the highest among all the Indian states.
• Kerala's emphasis on education, gender equality, and social development is widely recognized. The state's emphasis on education, including female education, has significantly contributed to its high literacy rates.
• This achievement is reflective of the broad access to education in Kerala and the state government's consistent efforts to reduce gender disparity in education, focusing on women's education and empowerment.

The correct answer is John Saunders.

Key Points

• The British police officer who was mistakenly killed by Bhagat Singh and his followers on December 17, 1928, was Assistant Superintendent John P. Saunders.
• This arose from a plot to assassinate Superintendent of Police James A. Scott, who they held responsible for the death of Indian freedom fighter Lala Lajpat Rai.
• Bhagat Singh believed Scott had ordered a lathi charge which led to Lajpat Rai's fatal injuries.
• Due to misinformation, a mistake was made in the identification of their target, and John P. Saunders, who was mistaken for Scott, was shot and killed instead.
• Bhagat Singh, along with Shivaram Rajguru and Chandrashekhar Azad who were part of the plan, subsequently had to go into hiding to evade arrest.
• This entire episode marked a significant moment in the Indian freedom struggle, pushing Bhagat Singh and his revolutionary activities to the forefront.

The correct answer is Fundamental Duty.

Key Points

Fundamental Duties:

• ​To abide by the Constitution and respect its ideals and institutions, the National Flag and the National Anthem;
• To cherish and follow the noble ideals that inspired the national struggle for freedom;
• To uphold and protect the sovereignty, unity and integrity of India;
• To defend the country and render national service when called upon to do so;
• To promote harmony and the spirit of common brotherhood amongst all the people of India transcending religious, linguistic and regional or sectional diversities and to renounce practices derogatory to the dignity of women;
• To value and preserve the rich heritage of the country’s composite culture;
• To protect and improve the natural environment including forests, lakes, rivers and wildlife and to have compassion for living creatures;
• To develop scientific temper, humanism and the spirit of inquiry and reform;
• To safeguard public property and to abjure violence;
• To strive towards excellence in all spheres of individual and collective activity so that the nation constantly rises to higher levels of endeavour and achievement; and
• To provide opportunities for education to his child or ward between the age of six and fourteen years (added by the 86^th Constitutional Amendment Act, 2002).

Additional Information

• The Fundamental Duties were incorporated in Part IV-A of the Constitution by the 42^nd Constitutional Amendment Act, 1976 on the recommendations of Swaran Singh Committee.
• The idea of Fundamental Duties is inspired from the Constitution of Russia.
• The Fundamental duties are non-justiciable in nature.
• There are total 11 Fundamental Duties listed in Article 51-A of the Constitution

The correct answer is Tamil Nadu.

Key Points 

• Naan Mudhalvan portal aims to provide dynamic information on Higher Education courses and consequent careers that Class 9-12 students can evaluate and choose to pursue.
• It includes live up-to-date information on entrance examinations for colleges across the country along with Scholarships or Education loans that students can avail.
• This will enable the students of TamilNadu to get training in their chosen field of interest that will help them in achieving their career goals.
• Objective: 
• The objective of this scheme is to identify potential training providers, to impart various skill trainings based on current industry gaps.
• Through this flagship program the students will be able to get trained and ensure they get jobs according to their skill sets. We will also offer career and academic guidance to students in state educational institutions.

The correct answer is 1^st April to 31^st March.

Key Points

The Annual Financial Statement in India, commonly known as the Budget, is generally implemented for the fiscal year that begins on 1^st April and ends on 31^st March.

• Periodicity: It covers the financial allocations for a period of one year, from the 1^st of April of the current year to the 31^st of March of the next year.
• Presentation: It is usually presented by the Finance Minister of India in the parliament on the 1^st of February each year. This allows the budgetary provisions to be implemented after the passing of the Finance Bill, which should be completed by the 31^st of March.
• Allocations and expenditures: The Budget includes comprehensive details on the government's revenue and expenditures. It outlines the financial allocations to different sectors and the sources of revenue for the government.
• Fiscal Responsibility: This period fits within the government's aim for fiscal responsibility, as it gives the government a clear time frame to monitor and assess its fiscal performance and to adjust monetary policies if necessary.
• Economic Blueprint: The budget presented for the fiscal year serves as an economic blueprint for the forthcoming year. It sets the economic, fiscal and monetary course of action that the government plans to follow for the country's development. It also provides a sense of the government's policy directions in matters of taxation, expenditures or allocation to various sectors.

The correct answer is P. C. Mahalanobis

Key Points  Second Five-Year Plan of India (1956 – 61)

• Also called the ‘Mahalanobis Plan’ after its chief architect PC Mahalanobis.
• It was based on the 1928 Soviet Model of Feldman.
• Its emphasis was on economic stability.
• The agricultural target fixed in the first plan was almost achieved. Consequently, the agriculture sector got low priority in the second five Year plan.
• Its objective was Rapid Industrialization, particularly basic and heavy industries such as iron and steel, heavy chemicals like nitrogenous fertilizers, and heavy engineering and machine building industry.
• Besides, the Industrial Policy of 1956 emphasized the role of the Public Sector and accepted the establishment of a socialistic pattern of society as the goal of economic policy.
• Advocated huge imports which led to the emptying of funds leading to foreign loans. It shifted basic emphasis from agriculture to industry far too soon. During this plan, the price level increased by 30%, against a decline of 13% during the First Plan.

The correct answer is The Insurance Act, 1938.

Key Points

• The Insurance Act, 1938: The Insurance (Amendment) Act, 2021 primarily amends the Insurance Act, 1938, which is the principal Act governing the insurance sector in India just before the establishment of the Insurance Regulatory and Development Authority (IRDA) in 1999.
• Foreign Investment: One of the key amendments was related to foreign investment. The amendment increased the limit of foreign investment permitted in an Indian insurance company from 49% to 74%. This amendment promotes a higher degree of foreign direct investment (FDI) in the insurance sector and thus provides a significant boost to the industry.
• Safeguarding Policyholders' interests: Regarding policyholder protection, the 2021 Amendment Act states that the majority of key management personnel, including directors, and at least half of the directors will be resident Indians, ensuring that policyholder's interests are represented.
• Removal of restrictions: In addition to these amendments, a significant feature of the Insurance (Amendment) Act, 2021 is the removal of certain restrictions on ownership and control of these insurance companies, thus fostering more investment and boosting the growth of the sector.

The correct answer is 1907.

Key Points

Tata Iron and Steel Company:

• The first and one of the largest manufacturing plants in Asia is Tata Iron and Steel Company, also known as TISCO.
• Tata iron and steel Company is situated in Jharkhand which was founded by Jamsetji Tata in 1907 and is the oldest steel plant in India. Hence, Option 2 is correct.
• Tata Iron and Steel Company or TISCO is the first iron and steel manufacturing plant in India which was founded and established by Jamsetji Tata and Dorabji Tata respectively on 26^th August 1907 at Jamshedpur, Jharkhand.
• Tata iron and steel Company started production of pig iron in the year 1911 and production of steel in the year 1912.
• Tata iron and steel Company made rapid progress during the First World War and by 1939, the largest steel plant was operated by Tata iron and steel Company within the British Empire.
• The establishment of Tata Iron and Steel Company at Jamshedpur includes various advantages like it is near to deposits of coal and manganese, iron ores, and even to Kolkata which provided a large market.
• An adequate water supply is ensured by the rivers Kharkai and Subarnarekha.
• The headquarters of Tata iron and steel company is in Mumbai, Maharashtra and its marketing headquarters are situated in Kolkata and West Bengal.
• Its manufacturing operations are present in 26 countries which include India, Australia, United Kingdom, United Arab Emirates, Malaysia, France, Canada, etc.
• The iron and steel manufactured by Tata iron and steel Company are utilized in construction, automation, engineering, lifting and excavation, defense and security sectors, and many more.
• The first iron and steel plant in India was established at Jamshedpur city in Jharkhand state.

The correct answer is Kidambi Srikanth.

Key Points

1. Name of the Player: Kidambi Srikanth became the first Indian male shuttler to win the silver medal at the BWF World Championships. This achievement occurred in 2021.
2. Prior Accomplishments: Srikanth has had an impressive career in Badminton before this achievement. He became the highest-ranked Badminton player in the world in 2017, and he has been a consistent performer on the international stage.
3. Performance at Championship: In the 2021 BWF World Championships, Srikanth showed exceptional talent and determination. He defeated multiple skilled opponents on his way to the finals, marking an impressive campaign at the Championships.
4. Final Match: Srikanth faced off against Kento Momota of Japan in the finals. Despite giving a tough fight, he ended up on the losing side, securing the silver medal. Nonetheless, this achievement marked a significant milestone in Indian badminton history, particularly for the men's singles category.

The correct answer is People enjoy quality of life and have access to drinking water.

Key Points

• Out of the options given, the statement "People enjoy quality of life and have access to drinking water" is NOT generally correct about poverty in India.
• Poverty is a multidimensional problem that impacts various aspects of a person's life, including access to clean drinking water, quality of life, healthcare, education, and more.
• Many people living in poverty, particularly in rural areas of India, still struggle to get access to clean drinking water and a high quality of life.
• Other symptoms of poverty, such as unemployment, irregular work, and inadequate housing, which are mentioned in the other options, are indeed often faced by people living in poverty.
• It's also essential to understand that poverty varies greatly across different regions and communities of India, and so does access to resources and services.

The correct answer is Battle of Chanderi.

Key Points

• Battle of Chanderi
• It was fought between Medni Rai of Malwa and Babur.
• It took place in 1528 (near Chanderi in MP), in which Medni Rai was defeated.
• This battle led to the expansion of the Mughal empire towards Malwa.

​

Additional Information

• The first battle of Panipat was held in 1526.

1. It was fought on 20 April 1526 between the forces of Babur and Ibrahim Lodi of the Lodi dynasty.
2. This battle marked the beginning of the Mughal empire and the end of Delhi Sultanate.
3. Babur defeated Ibrahim Lodi in this battle. His gun's and cannons proved decisive in the battle.

• The Second battle of Panipat-

1. It was fought on 5 November 1556.
2. It was fought between the forces of Akbar and Hemu, king of Delhi.
3. Akbar won the battle.

• Battle of Kannauj

1. The war fought between Sher Shah and Humayun.
2. After the victory of Shershah, Agra was occupied by him

The correct answer is One Herb, One Standard.

Key Points

• A Memorandum of Understanding (MoU) was signed between Pharmacopoeia Commission for Indian Medicine and Homoeopathy (Ministry of Ayush) and Indian Pharmacopoeia Commission (Ministry of Health & Family Welfare) in New Delhi.
• The MoU aims for Inter-Ministerial cooperation for promotion and facilitation of “One Herb, One Standard”.
• The primary objective of this MoU is the development of cooperative efforts between PCIM&H and IPC to promote public health by facilitating the development of harmonized Herbal drug standards.
• Since both PCIM&H and IPC are working with the common cause, it is logical and meaningful to harmonize the standards to achieve “One Herb – One Standard”.
• This MoU will further facilitate collaboration for promoting exchange of information in the area of standardization of Traditional medicine by sharing of scientific information and drug raw materials/extracts, seminars, workshops, training and brainstorming programs.
• The sole authority of publication of monographs categorized under the “one herb one standard” will lie with PCIM&H only.The technical content of the monographs will be jointly developed by PCIM&H and IPC.
• Ministry of Ayush believes that this harmonization of standards will fulfill the objective of “One Herb, One Standard and One Nation” and improve ease of doing business in India and also improve overall trade of Indian botanicals.

The correct answer is M3.

Key Points

The most commonly used measure of money supply that is also referred to as Aggregate Monetary Resources is M3.

M3, sometimes referred to as broad money, includes:

• All physical money such as coins and currency along with the deposits in the central bank (known as M0)
• The deposits in the commercial banks (known as M1)
• 'Time' deposits or deposits that have a longer maturity period as well as amounts in money market funds (known as M2)
• Additionally, it includes large time deposits, institutional money market funds, short-term repurchase agreements and other larger liquid assets.

This measure provides a broad perspective on the entire money supply within an economy hence, often referred to as Aggregate Monetary Resources. However, the components of M3 may vary from one country to another based on the definitions set by their respective central banking systems.

The correct answer is Arunachal Pradesh.

Key Points

• In the Arunachal Pradesh state, the Tapu dance is performed.
• Tapu is a war dance of the Adi tribe of Arunachal Pradesh.
• The only males perform the tapu war dance during the festival of Aran.
• It is performed to drive away evil spirits from villages.
• It is celebrated on 7^th March to herald the season of shifting cultivation.

The correct answer is Khajuraho​.

Key Points 

• Most Khajuraho temples were built between 885 AD and 1000 AD by the Chandela dynasty.
• The Khajuraho Group of Monuments is a group of Hindu and Jain temples in the Chhatarpur district, Madhya Pradesh(Jhansi), India.
• They are a UNESCO World Heritage Site.
• The temples are famous for their nagara-style architectural symbolism and a few erotic sculptures.

The correct answer is Indian Institute of Technology, Kanpur.

Key PointsIIT Kanpur develops biodegradable nanoparticles to protect crops

• Researchers from IIT Kanpur have developed a novel nanoparticle-based biodegradable carbenoid metabolite.
• It can be used as an alternative to chemical-based pesticides and help farmers protect their crops from bacterial and fungal infections.
• The bio formulation is of non-toxic nature, eco-friendly, easily degradable and helps in suppressing the growth and development of plant pathogens.
• Coined Biodegradable Carbonoid Metabolite (BioDCM), the nanoparticle can remain active at low concentration and can be as effective as pesticides without having any negative impact on soil and health of consumers.
• IIT Kanpur claims it acts fast as it is applied in bioactive form and can withstand high temperatures.
• A June 2021 report by the United Nations’ Food and Agriculture Organization (FAO) said that every year farmers across the world lose up to 40% of crops to insects and diseases, resulting in an estimated loss of $290 billion to the global economy$.

The correct answer is Goa.

Key Points

The Shigmo festival is primarily celebrated in the Western Indian state of Goa.

• Traditional Celebration: Shigmo is a major spring festival celebrated by the locals, particularly the Hindu Konkani diaspora. It is a vibrant and colourful festival filled with cultural performances and traditional music.
• Dates: This festival usually takes place in the month of Phalguna (February-March) in the Hindu calendar and can last over a fortnight. The dates vary each year, based on the lunar calendar.
• Processions: One of the major highlights of the festival is the large processions arranged by different villages and towns across the state. The processions are filled with traditional folk and street dancers, and elaborately built floats depicting scenes from regional mythology.
• Celebration of Local Culture: The festival is also a celebration of local culture and traditions. It features performances of traditional folk dances like the "Ghode Modni" (a warrior dance) and "Fugdi" performed by the locals.
• Religious Roots: The Shigmo Festival has deep religious roots. It begins with 'Naman' or prayers and ends with the 'Vasantosav' or the spring festival. It's also associated with the welcome of the spring season and is a post-harvest festival.

The correct answer is Srinagar.

Key Points

Out of the cities listed - Kolkata, Srinagar, Mumbai, and Jaisalmer - Srinagar is likely to have the highest annual range of temperature.

• Located in the northernmost state of Jammu and Kashmir, Srinagar experiences significant seasonal variations in temperature due to its geographical location. Winters can be severely cold, with temperatures often dropping below freezing point, while summers can be quite warm, with temperatures often reaching around 30 degrees Celsius (86 degrees Fahrenheit).

On the other hand:

• Kolkata, being in the eastern coastal part of India, is subjected to a tropical wet-and-dry climate, making its temperature vary less drastically over the year.
• Mumbai, being a coastal city, has a tropical climate with less temperature variation throughout the year.
• Jaisalmer, located in the desert area of Rajasthan, also sees temperature fluctuations, with very hot summers and cool winters. However, the temperature range between summer and winter is typically lesser than that of Srinagar.

Remember, the annual range of temperature is calculated by subtracting the lowest known temperature from the highest known temperature in a region for a year.

The correct answer is ACC.

Key Points

• The abbreviation ACC is associated with the cement industry in India. ACC stands for the Associated Cement Companies Limited. It's one of India's leading manufacturers of cement and ready mix concrete, with a countrywide network of factories and marketing offices.

On the other hand:

• BCCI stands for Board of Control for Cricket in India, which is the main governing body for cricket in India.
• MCI could refer to a number of organizations, including the Medical Council of India. It doesn't refer to a particular entity in the context of the cement industry in India.
• FCI stands for Food Corporation of India, which is a government organization responsible for managing the food grain supply chain in the country.

Given:

Namita bought a cell phone for Rs. 2,575 and sold it at a profit of 12%.

Formula used:

Selling price = (100 + profit)CP/100

Calculations:

According to question,

Selling price = (100 + 12)CP/100

⇒Selling price = (112 × 2575)/100

⇒Selling price = 288400/100

⇒ Selling price = Rs. 2884

Hence, The Required selling price is Rs. 2884.

Given:

4x2 + \(\rm\frac{1}{x^2}\) = 12 for a positive number x.

Formula used:

(a + b)² = a² + b² + 2ab

(a + b)³ = a³ + b³ + 3ab(a + b)

Calculations:

According to question,

 4x2 + \(\rm\frac{1}{x^2}\) = 12 

⇒ (2x)² + \((\frac{1}{x})²\) + 2(2x)(1/x) = 12 + 4

⇒ (2x)² + \((\frac{1}{x})²\) + 2(2x)(1/x) = (4)²

⇒ {2x + 1/x}² = 4²

⇒ 2x + 1/x = 4

Now,  8x3 + \(\rm\frac{1}{x^3}\) 

= (2x)³ + 1/x³

= (2x + 1/x)³ - 3(2x)(1/x)(2x + 1/x)

= 4³ - 6(4)

= 64 - 24

= 40

Hence, The Required value is 40.

Given:

Metal spheres, each of radius 1 cm, are packed in a rectangular box of dimensions 12 cm × 4 cm × 4 cm.

24 spheres are packed, the box is filled with preservative liquid.

Formula used:

Volume of Sphere = 4πr³/3

Volume of rectangular box = l × b × h

Calculations:

According to question,

Volume of Sphere = 4πr³/3 = 4π/3 = 88/21 = 4.2

Volume of Rectangular box

= (l × b × h)

= (12 × 4 × 4)

= 192 cm²

Volume of preserving liquid

= Volume of rectangular box - 24 × Volume of Sphere 

= 192 - 24 × 4.19

= 192 - 100.56

= 192 - 100.6

= 91.4

Hence, The Required value is 91.4 cm³.

Formula used:

If (a + b + c) = 0, a³ + b³ + c³ = 3abc

Calculations:

According to question,

As (p - q) + (q - r) + (r - p) = 0

and (p² - q²) + (q² - r²) + (r² - p²) = 0

According to concept:

\(\rm\frac{(p−q)^3+(q−r)^3+(r−p)^3}{\left(p^2−q^2\right)^3+\left(q^2−r^2\right)^3+\left(r^2−p^2\right)^3}\)

= \(\frac{3(p-q)(q-r)(r-p)}{3(p²-q²)(q²-r²)(r²-p²)}\)

= \(\frac{3(p-q)(q-r)(r-p)}{3(p-q)(p+q)(q-r)(q+r)(r-p)(r+p)}\)

= \(\frac{1}{(p+q)(q+r)(r+p)}\)

Hence, The Required value is \(\frac{1}{(p+q)(q+r)(r+p)}\).

Given: 

The ratio of the surface area of the two-sphere is 9 : 4

Concept: 

When D = Diameter of sphere, Surface area of the sphere = πD²

Calculation: 

Let the diameter of one sphere is D₁ and another sphere is D₂ 

According to the question 

The ratio of the surface area of the sphere is 

⇒ πD₁² : πD₂² = 9 : 4

⇒ D₁² : D22 = 9 : 4

⇒ D₁ : D₂ = 3 : 2

∴ The required ratio is 3 : 2.

Concept used:

Prime numbers are the number which are only divisible by 1 and itself.

Calculations:

According to question,

697 = 17 × 41, Hence, not a prime number

657 = 9 × 73, Hence, not a prime number

679 = 7 × 97, Hence not a prime number

701 , it has no other factors than 1 and itself, Hence it is a prime number.

Hence, The Required value is 701.

Given:

P and Q can complete a task in 30 days. Q and R can do the identical task in 24 days, while R and P can complete it in 20 days. They began working together, but after 10 days, Q and R left.

Calculations:

Suppose total work = 120 units (LCM of 30, 24 and 20)

⇒ Efficiency of P + Q = 120/30 = 4

⇒ Efficiency of Q + R = 120/24 = 5

⇒ Efficiency of P + R = 120/20 = 6

Efficiency of P = (10 - 5)/2 = 5/2

They started the work together, but Q and R left after 10 days 

= {(6 + 5 + 4)/2} × 10

= 75

Remaining work 

= 120 - 75

= 45

Time taken P to complete the remaining work 4

= 45/(5/2)

= 18

∴ P did the work in 18 days.

Given:

\(0.\overline{45} \)

Calculations:

Let, \(0.\overline{45} \) be x.

then, 100x = 45.\(\overline{45} \)

now, 100 x - x = 45.\(\overline{45} \) - 0.\(\overline{45} \)

⇒99x = 45

⇒ x = 5/11

Hence, The Required value is 5/11.

Given:

In a race of 800 m, Ram can beat Shyam by 50 m, and in a race of 600 m, Shyam can beat Ghanshyam by 40 m.

Calculations:

Ram runs 800 metres when Shyam runs 750 metres.

Shyam runs 600 metres when Ghanshyam runs 560 metres.

LCM of 750 and 600 = 3000 metres.

Ram runs 3200 metres when Shyam runs 3000 metres

Shyam Runs 3000 metres Ghanshyam runs 2800 metres.

Ram beats Ghanshyam by 400 metres in a 3200 metre race.

In 400 metre race = (400 × 400)/3200 = 50 metres 

∴ Ram beats Ghanshyam in 400 metre race by 50 metres.

Shortcut Trick

Interest for 1 year = 5238 ÷ 12 = ₹436.5

Rate % = (Interest per year ÷ Principal) × 100

⇒ Rate % = (436.5 ÷ 2425) × 100

⇒ Rate % = 0.18 × 100 = 18%

∴ The correct answer is 18%.

Alternate Method

Given:

Principal (P) = ₹2,425

Simple Interest (SI) = ₹5,238

Time (T) = 12 years

Formula Used:

SI = (P × R × T) ÷ 100

Calculations:

⇒ 5238 = (2425 × R × 12) ÷ 100

⇒ 5238 = (24.25 × 12) × R

⇒ 5238 = 291 × R

⇒ R = 5238 ÷ 291

⇒ R = 18%

∴ The correct answer is 18%.

Additional Information

Simple Interest Definition

Interest calculated only on the initial principal amount throughout the entire investment period.

Amount Formula

Total Amount (A) = Principal (P) + Simple Interest (SI). In this case, A = 2425 + 5238 = ₹7663.

Rate of Interest

It is the percentage of the principal charged as interest for a specific period, usually one year (per annum).

Given:

A class of 25 students took a science test. 10 students got an average score of 80. The other students got an average score of 60.

Formula used:

Sum of observation = Total no. of observation × Average 

Calculations:

According to question,

Total marks of 10 students = 10 × 80 = 800

Total marks of 15 students = 15 × 60 = 900

Total marks of 25 students = 800 + 900

= 1700

Average

= 1700/25

= 68

Hence, the average is 68.

Given:

Discount = 12%

Marked price = 32% more than the cost price

Formula Used:

Selling price = Marked price – Discount

Profit = Selling price - Cost price 

Calculation:

Let the cost price be Rs. ‘x’

Marked price = x + 32% of x

⇒ 1.32x

Selling price = Marked price – Discount

⇒ 1.32x – 12% of 1.32x

⇒ (88/100) × 1.32x

⇒ 1.1616x

Profit = Selling price - Cost price 

⇒ 1.1616x - x 

⇒ 0.1616x

Profit percentage = (Profit/CP) × 100

⇒ (0.1616x/x) × 100

⇒ 16.16%

∴ Profit percentage is 16.16 %.

Given:

 (a − b)3 (a + b)3, (a − b)(a + b)

Formula used :

Mean proportion of a and b = √(ab)

Calculations:

According to question,

Mean proportion

= \(\sqrt{(a-b)³(a+b)³ × (a-b)(a + b)}\)

= √{(a - b)⁴(a + b)⁴}

= √{(a² - b²)⁴

= (a² - b²)²

Hence, The Required value is (a² - b²)².

Given:

A and B together can do a piece of work in 12 days. A can alone do the job in 36 days.

Calculations:

According to the question,

B can finish the work alone in d days.

∴ In one day B finishes 1/d part of the work.

A can finish the work in 36 days.

∴ In one day A finishes 1/36^th part of the work.

In one day working together, they can finish part of the work = 1/d + 1/36

Given A and B can together finish the work in 12 days.

∴ They can finish 1/12^th of the work in one day of working together.

Now, 1/12 = 1/d + 1/36

⇒ 1/d = 1/12 - 1/36

⇒ 1/d = 2/36

⇒ d = 18

⇒ d = 18 days

Hence, B can do the work in 18 days.

Given:

\(\rm\frac{\tan A+\sec A−1}{\tan A−\sec A+1}\)

Formula used:

secA - tanA= 1/(secA + tanA)

Componendo-dividendo

For a and b , a/b = a+b/a-b

Calculations:

According to question,

\(\rm\frac{\tan A+\sec A−1}{\tan A−\sec A+1}\)

= \(\rm\frac{(\tan A+\sec A)−1}{1 −(\sec A - \tan A)}\)

According to concept used,

= \(\rm\frac{\tan A + \sec A - 1}{\frac{-1}{\tan A + \sec A}+1}\)

= \(\rm\frac{(\tan A+\sec A−1)}{\frac{(\tan A+\sec A-1}{\tan A + \sec A}}\)

= tan A + sec A

=  (1 + sinA)/cosA

Hence, The Required value is (1 + sinA)/cosA.

Shortcut Trick

The product of two numbers is equal to the product of their LCM and HCF.

Other Number = (LCM × HCF) ÷ First Number

⇒ Other Number = (150 × 3) ÷ 25

⇒ Other Number = 450 ÷ 25 = 18

∴ The correct answer is 18.

Alternate Method

Given:

LCM of the two numbers = 150

HCF of the two numbers = 3

One of the numbers = 25

Formula Used:

First Number × Second Number = LCM × HCF

Calculation:

Let the second number be x.

⇒ 25 × x = 150 × 3

⇒ 25 × x = 450

⇒ x = 450 ÷ 25

⇒ x = 18

∴ The correct answer is 18.

Additional Information

LCM and HCF Product Rule

For any two positive integers a and b, the product of their HCF and LCM is strictly equal to the product of the numbers: a × b = HCF(a, b) × LCM(a, b).

Co-prime Numbers

Two numbers are said to be co-prime if their HCF is 1. For co-prime numbers, their LCM is simply their product.

Fractions LCM and HCF

LCM of fractions = (LCM of numerators) ÷ (HCF of denominators). HCF of fractions = (HCF of numerators) ÷ (LCM of denominators).

Shortcut Trick

For half-yearly compounding, Rate = 10% ÷ 2 = 5% and Time = 2 × 2 = 4 periods.

Effective rate for 4 periods at 5% = 21.550625%.

Compound Interest = 5000 × 21.550625% = 1077.53125.

Rounding to two decimal places, we get ₹1077.50.

∴ The correct answer is Rs. 1,077.50.

Alternate Method

Given: Principal (P) = ₹5,000, Rate (R) = 10% p.a., Time (n) = 2 years.

Formula Used: Amount (A) = P(1 + r/100)^t; CI = A − P.

⇒ Since interest is compounded half-yearly:

⇒ New Rate (r) = 10% ÷ 2 = 5% per half-year.

⇒ New Time (t) = 2 × 2 = 4 half-years.

⇒ A = 5000 × (1 + 5/100)⁴

⇒ A = 5000 × (21/20)⁴

⇒ A = 5000 × (194481 / 160000)

⇒ A = 5000 × 1.21550625 = 6077.53125

⇒ CI = 6077.53125 − 5000 = 1077.53125

∴ The correct answer is Rs. 1,077.50.

Additional Information

Half-Yearly Compounding Rule

When interest is compounded half-yearly, the annual rate is halved (R/2) and the time period is doubled (2n).

Quarterly Compounding Rule

When interest is compounded quarterly, the annual rate is divided by 4 (R/4) and the time period is multiplied by 4 (4n).

Effective Rate Formula

For two successive cycles of r%, the effective rate is (r + r + r²/100)%.

Given: 

Increase in numerator = 25%

Decrease in denominator = 10%

New value = 15/16

Concept used:

x% increase = (100 + x)/100

x% decrease = (100 – x)/100

Calculation:

Let the original fraction be x/y.

Change in numerator = (100 + 25)/100 = 5/4

Change in denominator = (100 – 10)/100 = 9/10

⇒ (x × 5/4)/(y × 9/10) = 15/16

⇒ (5x × 10)/(9y × 4) = 15/16

⇒ 50x/36y = 15/16

⇒ 10x/9y = 3/4

⇒ x/y = 27/40

∴ The original value of the fraction is 27/40.

Given:

The table shows the number of students in different streams in 5 departments.

Calculations:

According to the question,

The number of students in department A of Physics, Chemistry and Computer science is 

⇒  400 + 750 + 250

⇒ 400 + 1000

⇒ 1400

The number of students in the department B of physics, chemistry, and computer science is

⇒ 500 + 600 + 300

⇒ 1400

Ratio required= 1400 : 1400 = 1 : 1

Hence, The Required ratio is 1 : 1.

In the figure, AB and CD are the chords with lengths 12 cm and 16 cm;

In Triangle OPB;

OB = Radius = 20/2 cm, PB = 12/2 cm

∴ OP2 = (20/2)2 – (12/2)2

⇒ OP2 = 100 – 36

⇒ OP2 = 64

⇒ OP = 8 cm

In Triangle OQD;

OD = Radius = 20/2 cm, QD = 16/2 = 8 cm

∴ OQ2 =  (20/2)2 – (16/2)2

⇒ OQ2 = 100 – 64

⇒ OQ2 = 36

⇒ OQ = 6

∴ Distance between these chords = OP – OQ = 8 – 6 = 2 cm

The pattern followed in the given series is:

   The '+' sign moves left to right after every step.

   The circle turns shaded after every alternate step. 

   The triangle points in clockwise direction in each step.

Next step:

   The '+' sign will be at the right.

   The circle will be shaded.

   The triangle will point upwards.

Now we compare the options:

Option 1) The circle is not shaded.

Option 2) The positioning of '+' sign is wrong.

Option 3) The pattern matches completely.

Option 4) The positioning of '+' sign is wrong and circle is also not shaded.

Hence the correct answer is option 3)

We apply each option to the given equation and solve it using BODMAS rule:

Option 1) 3 and 13

39 ÷ 13 + 3 × 5 – 9 = 9

3 + 3 × 5 – 9 = 9

3 + 15 - 9 = 9

18 - 9 = 9

9 = 9

Option 2) 3 and 9

39 ÷ 9 + 13 × 5 – 3 = 9

4.3 + 13 × 5 – 3 = 9

4.3 + 65 – 3 = 9

69.3 – 3 = 9

66.3 ≠ 9 

Option 3) 5 and 9

39 ÷ 3 + 13 × 9 – 5 = 9

13 + 13 × 9 – 5 = 9

13 + 117 – 5 = 9

130 – 5 = 9

125 ≠ 9

Option 4) 13 and 9

39 ÷ 3 + 9 × 5 – 13 = 9

13 + 9 × 5 – 13 = 9

13 + 45 – 13 = 9

58 – 13 = 9

45 ≠ 9

Hence the correct answer is option 1)

From the given figure, we have to find out the region that represents males who are technicians as well as government employees which means we have to find a region that is common between circle, square and triangle.

We can see that S is the region that represents males who are technicians as well as government employees.

Hence the correct answer is option 2)

From the given information:

Only three people sit to the left of Z.

Z sits third to the left of Y.

W sits fourth to the left of V.

X is not an immediate neighbour of Y.

T sits second to the right of U.

U sits at one of the extreme ends.

From the arrangement we can see that X sits to the immediate right of Z.

Hence the correct answer is option (4).

From the given information we draw a chart using the following symbols:

Wife of my husband = Rajni herself

 We can see that the brother of daughter of Rajni is Rajni's son.

Hence the correct answer is option 1)

We unfold the paper step by step:

Now we consider each option:

Option 1) The pattern is not symmetrical.

Option 2) Upper half of the pattern is wrong.

Option 3) Right half of the pattern is wrong.

Option 4) The pattern matches completely.

Hence the correct answer is option 4)

The pattern in the given sets is:

    Third term - First term = Second term/2

Now we apply the pattern with the given sets:

(31, 46, 54)

54 - 31 = 46/2

54 - 31 = 23

23 = 23 

(23, 48, 47)

47 - 23 = 48/2

47 - 23 = 24

24 = 24

Now we consider each option:

Option 1) (27, 40, 57)

57 - 27 = 40/2

57 - 27 = 20 

30 ≠ 20

Option 2) (26, 42, 38)

38 - 26 = 42/2

38 - 26 = 21

12 ≠ 21  

Option 3) (33, 38, 52)

52 - 33 = 38/2

52 - 33 = 19

19 = 19

Option 4) (37, 44, 55)

55 - 37 = 44/2

55 - 37 = 22

18 ≠ 22

Hence the correct answer is option 3)

According to the English alphabets and their positional values:

The pattern followed in each cluster is:

Option 1) 

Option 2) 

Option 3) 

Option 4) 

Hence the correct answer is option 1)

According to the English alphabets and their positional values:

The pattern followed in the codes is:

   Sum of positional values of alphabets - 10 = Code

52 - 10 = 42

 65 - 10 = 55

Similarly,

58 - 10 = 48

Hence the correct answer is option 1)

The mirror image of the given combination is:

Now we compare the given options:

Option 1) The combination is inverted.

Option 2) The combination is incorrectly placed.

Option 3) The combination matches completely.

Option 4) The combination is incorrectly placed.

Hence the correct answer is option 3)

According to the English alphabets and their positional values:

The pattern followed in the codes is:

   Sum of the positional values of the alphabet - 10 = Number.

   First alphabet is increased to 1 positional value and placed at last.

   Last alphabet is decreased to 1 positional value and placed at first.

48 - 10 = 38  → C38C

52 - 10 = 42  → S42E

Similarly,

49 - 10 = 39 → M39H

Hence the correct answer is option 2)

The pattern followed in the given series is:

  The difference between the consecutive odd and even terms is 13.

Hence the correct answer is option 4)

From the given information:

Step 1: Y is sitting second to the left of Z. Z is sitting second to the left of W.

We place Y and then Z after that we place W second to the right of Z.

Step 2: X is the only one sitting between Z and W. V is sitting second to the right of X.

Now we place X in between W and Z then place V second to the right of X and lastly we place U at the last spot.

We can see that W is sitting between X and V.

Hence the correct answer is option 2)

The pattern followed in the given series is:

   The difference of the difference between the terms is 6.

Hence the correct answer is option 3)

From the given information:

‘Abundant’ is related to ‘Scarce’ → Abundant and Scarce are antonyms.

Similarly,

‘Artificial’ is related to ‘?’ → We have to find out the antonym of Artificial.

Now we consider each option:

Option 1) Natural is the antonym of Artificial.

Option 2) Insincere is the antonym of Sincere.

Option 3) Hollow is the antonym of Solid.

Option 4) Pretend is the antonym of Be original.

Hence the correct answer is option 1)

When we rotate the dice keeping the face M constant, we get the four sides of the dice and from the basic theory we know that the sides opposite to each other appears on the same position when the dice is rotated.

We rotate the dice and observe P is opposite to R and O is opposite to Q.

Hence the correct answer is option 3)

We apply each option to the given equation and solve it using BODMAS rule:

Option 1) −, ÷, ×, −, +

981 - 672 ÷ 469 × 3 - 441 + 7 = 309

981 - 1.4 × 3 - 441 + 7 = 309

981 - 4.2 - 441 + 7 = 309

988 - 4.2 - 441 = 309 

542.8 ≠ 309

Option 2) −, +, ÷, ×, −

981 - 672 + 469 ÷ 3 × 441 - 7 = 309

981 - 672 + 156.3 × 441 - 7 = 309

981 - 672 + 68928.3 - 7 = 309

69909.3 - 672 - 7 = 309

69230.3 ≠ 309

Option 3) ÷, ×, −, +, ×

981 ÷ 672 × 469 - 3 + 441 × 7 = 309

1.4 × 469 - 3 + 441 × 7 = 309

656.6 - 3 + 3087 = 309

3743.6 - 3 = 309

3740.3 ≠ 309

Option 4) +, −, ×, +, ÷

981 + 672 - 469 × 3 + 441 ÷ 7 = 309

981 + 672 - 469 × 3 + 63 = 309

981 + 672 - 1407 + 63 = 309

1716 - 1407 = 309 

309 = 309

Hence the correct answer is option 4)

According to the English alphabets and their positional values:

The pattern followed in the series is:

Hence the correct answer is option 3)

From the given statements we draw a Venn diagram:

All Iron is Zinc. 

Some Copper is gold. 

No Gold is Zinc.

Now we consider the given conclusions:

(I) Some Iron can be Gold → Does not follow → From the given information we have 'all iron is zinc' and 'no gold is zinc' which can also be said as no gold is iron and therefore the conclusion does not follow.

(II) No Iron is Gold → follow → From the given information we have 'all iron is zinc' and 'no gold is zinc' which can also be said as no gold is iron similarly no iron is gold and thus the conclusion follow. 

(III) Some Copper is Zinc → Does not follow → Since no gold is zinc and some copper is gold then it is safe to say that no copper is zinc and therefore the conclusion does not follow.

So only conclusion II follows.

Hence the correct answer is option 4)

The pattern followed in the given series is:

   This is a recurring pattern in which the pattern repeats itself after a certain number of steps in this case it is 4 i.e. after every 4^th step the pattern will be exactly the same.

Next step :

• The star will be at top left corner.

• The circle will be at top right corner.

• The pentagon will be at the center.

• The square will be at the bottom left corner.

Now we compare the given options:

Option 1) The position of circle and star is incorrect.

Option 2) The pattern is correct.

Option 3) The position of star is incorrect.

Option 4) The whole pattern is incorrect.

Hence the correct answer is option 2)

The correct order according to the English dictionary is:

2. Hoodlum
3. Hoodwink
4. Hoop
5. Hooter
6. Hoover

So the correct order is 2, 4, 5, 1, 3.

Hence the correct answer is option 4)

From the given information we solve the equation and draw a chart using the following symbols:

C ÷ M – S – K + T × Q means:

C is the sister of M, M is the mother of S, S is the mother of K, K is the father of T, T is the husband of Q.

Now we consider the options:

Option 1) K is the father-in-law of Q → True

Option 2) S is C’s sister’s daughter → True 

Option 3) S is T’s father’s father → False

Option 4) M is K’s mother’s mother → True

Hence the correct answer is option 3)

According to the English alphabets and their positional values:

The pattern followed in the series is:

   The alphabets are arranged backwards in the code after increasing them to a certain positional value.

Similarly,

Hence the correct answer is option 3)

The pattern followed in the given sets is:

   First term × Second term - second term = Third term

Now we apply the pattern on the given sets:

(19, 8, 144)

19 × 8 - 8 = 144

152 - 8 = 144 

144 = 144

(13, 6, 72)

13 × 6 - 6 = 72

78 - 6 = 72

72 = 72 

Now we consider the given options:

Option 1) (7, 4, 32)

7 × 4 - 4 = 32 

28 - 4 = 32 

24 ≠ 32

Option 2) (9, 3, 18)

9 × 3 - 3 = 18

27 - 3 = 18 

24 ≠ 18

Option 3) (12, 8, 96)

12 × 8 - 8 = 96

96 - 8 = 96 

88 ≠ 96

Option 4) (15, 4, 56)

15 × 4 - 4 = 56

60 - 4 = 56

56 = 56

Hence the correct answer is option 4)

Given: YR_TYRG_YRGR_RG_

Let's check each option:

1)  SYTR → YRST - YRGY - YRGR - TRGR

2)  STRP → YRST - YRGT - YRGR - RRGP

3) SYPG → YRST - YRGY - YRGR - PRGG

4) GSYQ →

So, In option 3 " YRGT " is repeating itself.

Hence, ‘GSYQ’ is the correct answer.

The correct answer is "Personell"

Key Points

• Personel correct spelling is Personnel.
• Personnel(noun) means a group of people that work for a large group of organizations like training people or armed forces.
• Example: The personnel in the office are very friendly.
• Confused words: Personal and Personnel.
• Personal means belonging to, or related to something.
• Example: These stationary items are her personal belongings.

​ 

Additional Information

• Other words in the options have the correct spelling.
• Hoarse means rough or harsh sound.
• Example: Due to the cold she had a hoarse voice.
• Roast: To heat or dry something.
• Example: I ate roasted chicken today.
• Cynic: means disbeliever, egoist, doubter, pessimist
• Example: Mukesh's wealth made him a cynical person.

The correct answer is "Despite of"

Key Points

• The error lies in Part(a)/ option 1 of the sentence.
• Despite means not influenced by something or somebody.
• It is a prepositional expression. It expresses a contrast between two things, despite playing a negative part and the sentence that depends on it plays a positive role in the sentence.
• Example: Despite the rain, we enjoyed dancing.
• The correct answer is "Despite a short deadline, he finished the assignment on time."
• The short period didn't affect him to keep the work pending.

Additional Information

• Despite has many forms like, in spite of, although, even though, and though.
• All these words are used in front of the phrase 'the fact that' then they can be used as a subject and a verb.
• Common mistake: Use 'in spite of/ Despite' not 'Despite of'.
• Despite forms two types of sentences:
• Preposition + something:
• Example: Despite the heat, we enjoyed the soup.
• Preposition + Gerund(Ving):
• Example: Despite being sick, I went to school.

The correct answer is "since"

Key Points

• Since shows the thing from the starting point that is still going on.
• Example: Since I left my job, I was unable to pay my EMIs.
• Since is also used for specific dates and times.
• Example: I have been teaching English since 2015.
• The sentence is in past perfect continuous tense and an assertive sentence.
• The correct answer is "Ryan had been waiting at the bus stop since 5 p.m."
• As Ryan was still at the bus stop and his return has not been mentioned so since will go with the sentence.

Additional Information

• Confused words: for and since
• Since is used for describing the thing that is still in continuous form
• Example: They have been watching tv since 4 o'clock.
• For is used to indicate a certain period
• Example: She watched Tv for 3 hours straight.
• One shows the continuity and the other shows the exact period respectively.

The correct answer is "capricious; frequently"

Key Points

• Capricious means impulsive and unpredictable behaviour.
• Example: Autumn season is very capricious.
• Frequently means very often.
• Example: He visits frequently his friend's house.
• Here two simple/ assertive sentences have been joined by a conjunction and.
• Example: Anita left school and went to college.
• The correct answer is "She is a capricious person and changes her mind frequently without any reason."

Additional Information

• Other options that don't suit the sentence because they have different meanings.
• Conversant means to be familiar with, learned, skilled and experienced
• ​Example: I am not so conversant with strangers.
• Unusually means rare or strange.
• For example: Eating non-veg during Sawan is unusual.
• Chaste means morally pure, decent or innocent.
• Example: The chaste n her eyes took my heart.
• Occasionally means happens from time to time but not very often.
• Example: Occasionally I love to eat fast food.
• Charismatic means a person who is very attractive, and inspiring that fascinates others.
• Example: APJ Abdul Kalam has a charismatic personality.
• Intermittently means not continuous.
• Example: After twelve hours of intermittent fasting she finally had her supper.

The correct answer is "a cynical"

Key Points

• Pessimistic means negativity or a person who always sees the dark side of the outcome.
• Example: He is too pessimist about his final result in the entrance.
• Its synonym cynical means solely disrespecting or not trusting others.
• Example: Her best friend is very cynical of her other friends.
• The sentence is in the simple present tense.
• It is clear that Pessimist and Cynical are synonyms of each other.

 Additional Information

• Better is the comparative form of good.
• Example: English is far better than Mathematics.
• Overthinking means thinking or analyzing too much.
• Example: Overthinking is the cause of depression.
• Bad means unfavourable or unwell.
• Example: His bad manners bought him misfortune.

The correct answer is "Reprimanded"

Key Points

• Reprimand is the synonym of Chastised.
• Chastised means to punish or to criticize.
• Example: Nitra was chastised by her parents for scoring a low grade on her exam.
• Reprimand means letting someone know their mistake officially.
• Example: You might reprimand your maid if she steals something.
• It is clear from the meaning that Reprimand is a synonym for Chastise.

Additional Information

• Thrash means to beat mercilessly or to defeat utterly.
• Example: Animals were thrashed in the circus.
• Invigorate means lively or to impart strength.
• Example: Cold water invigorated the Penguin.
• Scourge means to remove dirt, and to suffer from diarrhoea.
• Example: If a cow is scouring don't delay treatment. ​​

The correct answer is "Mild"

Key Points

• Excruciating means causing pain or anguish.
• Example: The back pain excruciating and I can't bear it.
• Mild means gentle or ease.
• Example: Use mild soap for the skin.
• So we can conclude from the meanings that Mild is the antonym of Excruciating.

Additional Information

• Acute means brief, intense, urgent or it may be an angle. 
• Example: She has an acute sense.
• Relaxing: To become less serious or calm down or to make something loose.
• Example: The music is so relaxing.
• Disturbing: To distract, to divert or to have a negative impact.
• Example: Don't disturb me while I am studying.

The correct answer is "cub"

Key Points 

• As the calf is the baby of the cow so does Cub the baby of the lion.
• Example: kitten is the baby of Cat.
• There are two individual simple sentences with separate meanings but joined with the conjunction As... So.
• The first sentence is the principal clause and the second one coordinates it.

Additional Information 

• Colt is the baby of the horse.
• Kid is the baby of a human.
• Lamb is the baby of sheep.

The correct answer is "uncertain"

Key Points

• Synonyms mean different words with the same meaning.
• Dicey means unpredictable and certainly dangerous.
• Example: The dramas of Shakespeare are very dicey.
• Uncertain means not completely sure about something.
• Example: You are very uncertain about your own decision.
• From these meanings it can be said that Uncertain is the synonym of Dicey.

Additional Information 

• Exciting means very enthusiastic and eager for something.
• Example: I'm excited to meet granny.
• Playful: giving or expressing pleasure and amusement or fond of games.
• Example: Children are playful by nature.
• Enjoyable means delight or pleasure.
• Example: He is the best comedian, they are really enjoyable.

The correct answer is "imitable."

Key Points

• One-word substitution means a group of individual words combined with words to form a new meaning is called one-word substitution.
• Copy means Imitate.
• Example: Students are quite nervous while imitating the drama.
• Example: Copy the answer from the blackboard.
• Some other examples of one-word substitution: 
• Example: Lasting for a very short time is called Ephemeral.

Additional Information 

• Similarity means a state of being similar/ same.
• Example: There are some differences and similarities in the laws of the countries.
• Plagiarised means taking the idea of someone else and writing as it is.
• Example: No plagiarized content is allowed in the context.
• Identical means similar in every detail.
• Example: Mrs. Gupta has identical Twins.

The correct answer is "Don't give up"

Key Points

• The most appropriate meaning of the given idiom Hang in there is Don't give up.
• Hang in there means a way to encourage someone not to give up.
• Example: Don't hang in there while preparing for the civil services.
• Therefore, as per the points mentioned above, we find option 1 as the correct answer.

Additional Information

• Let's look at other meanings of the given options.
• | Idioms | Meanings | Examples | | --- | --- | --- | | Don’t be resilient | Don't be overwhelmed and turn things unhealthy. | Don't be resilient before winning the race. | | Give up just in time | Losing hope at the end of winning something. | Don't give up at the time of winning the race. | | Always go for the gold | To pursue or attempt to achieve the very best possible outcome or reward from some activity, task, or endeavour. | You have to give your best and go for the gold to achieve the medal. |

The correct answer is "Mottle"

Key Points

• The most appropriate meaning of the given group of words is Mottle.
• Mottle means a distinguishing blotch of colour hades as if stained.
• Example: The acid turned her fair skin into a mottled one.
• The one-word substitution for "Mark with spots or smears of colour is Mottle."

Additional Information

• Moult means to lose hair or feathers before new hairs.
• Example: The snake moults its skin to form a new one.
• Mould means a hollow container used to give a particular shape.
• Example: I brought mould to give a new shape to the chocolate.
• Motto: a sentence or a phrase forming part of the heraldic achievement or providing a bracing shot of inspiration
• Example: The motto of my life is to help people till your last breath.

The correct answer is "We are decorating the living- room at the moment"

Key Points

• The correct answer is Option 2.
• "We" is the first person plural form and the sentence is in the present continuous tense.
• The answer is 'We are decorating' because at the end of the sentence we can see the action denotes the continuity of their work.
• Example: She is writing a letter now.
• Example: We are waiting for her arrival.

The correct answer is "To give away a secret"

Key Points

• The most appropriate meaning of Spill the beans is To give away a secret.
• Spill the beans means to let the secret information known to others.
• Example: We will be celebrating her birthday, now don't spill the bean over her.
• Spill the beans came from ancient Greek from their voting system where black/brown beans mean yes and white bean means yes.

 Additional Information

• Other idioms in the options means

The correct answer is "Traibe" 

Key Points

• The correct spelling of the given word "Traibe is Tribe"​
• Tribe means a group of people with their families and clans that have their language and culture.
• Example: Gond is the second largest tribe in India.

Additional Information

• Other options' meanings are listed below with examples.
• Trivial means of little importance; not worth considering.
• Example: I don't know why he gets so upset about something so trivial,
• Triumph means a great success or victory.
• Example: They earned a magnificent triumph over the invading army.
• Trouble means extra work or effort.
• Example: Let’s eat out tonight. It will save you the trouble of cooking.

The correct answer is "cooled"

Key Points

• Words that are spelt and pronounced like another word but that have a different meaning are called Homonyms.
• Example: Bat an animal as well as equipment to play cricket.
• ​Words that are spelt and pronounced like another word but that have a different meaning 
• Example: My mother doesn't have a cent.
• Example: She sent a letter to her friend.
• Example: The scent used by you smells awesome.

Additional Information 

• Cold means having a low temperature; not hot or warm.​
• Example: I’m not going into the sea, the water’s too cold.
• Coaled means providing a supply of coal.
• Example: The ships had to be coaled and supplied today.
• Cowled means with a cowl neck (= a wide, loose collar that folds over on itself):
• Example: The image showed her casually dressed in a cowled sweater and jeans.

The correct option is "c, a, d, b"

Key Points

• First know the point of the sentence and where it is leading.
• Here Option C says the plot took place a couple of weeks later followed by option A.
• He drove to the asylum to see Charlie and saw he was lying on a porch.
• At the end the narrator saw that Charlie was looking wane and thin.
• The correct answer is "It was a couple of weeks later, that I drove up the asylum to see Charlie he was lying on a cot on big-screened-in porch looking wane and thin."

The correct answer is "Agony"

Key Points

• Extremely physical or mental suffering means Agony.
• One-word substitution means giving one specific word to a group of words.
• Example: A doctrine which identifies god with the universe is called Pantheism.
• Example: *A collection of weapons and military equipment is called **Arsenal.*​ ​

Additional Information

• Pain means suffering or ache in a body or distress. 
• Example: Her pain of departure was unbearable.
• Destitute means lack of something or extreme poverty.
• Example: The pandemic left the labourers in the state of destitute.
• Trauma means a psychological disorder or serious injury to the body.
• Example: Because of failure she was in trauma.

The correct answer is "The major reason for his financial success"

Key Points

• In the question fiscal success is written which means treasure of the country or taxes and it is a basic fact that one can't be proud of the tax of the government.
• Example: The government needs to work on the fiscal policy of the country.
• Financial success means having enough money to fulfil desires.
• Example: In his twenties, she became financially independent.
• This is a simple sentence.
• The final answer is "The major reason for his financial success is that his parents are influential people."

Additional Information

• Budgetary success means how to spend money within a stipulated time period.
• Example: My father handles the budget of the family.
• Capitalistic means an economy or political system which owns private property for profit purposes.
• Example: Bank works as a capitalist for the country.

The correct answer is "abandon"

Key Points

• ​Fulfill means to do something as promised or intended, or to satisfy your hopes or expectation.
• Example: An Overthinker always wishes to fulfil the daydreams he imagines.
• Abandon means to leave without intending to return.
• Example: After five years of marriage he abandoned her.
• From the meaning of both words it can be said that "Abandon is the antonym of Fulfill."

Additional Information

• Other options in the given question are:
• Continuous means to keep going without interruption.
• Example: Tulsi continuously studied the Vedas and completed them.
• Help: To give hand to someone to make the work easier.
• Example: She helped him for digging the well.
• Miss: to fail, to catch or remember someone after not seeing them for some time.
• Example: Dyna missed the meeting, and now missing her mates.

The correct answer is "ramifications".

Key Points

• The ramification is similar to a consequence but typically unintentional and unpleasant.
• The phrase is frequently used in political conversations concerning laws or decisions made by governments because they may be made locally but may impact individuals worldwide.
• The correct sentence would be:
• The National Institute of Educational Planning and Administration (NIEPA) occupies a unique position in the network of educational institutions in India, with its functions covering a broad spectrum of academics having both, domestic and international ramifications.

The correct answer is "were to".

Key Points

• As well as the first and third person plural past tenses, "were" is the second person singular and plural past tense of the verb to be.
• For example:
• Last night, you were at home.
• Therefore, the correct sentence would be:
• The principal functions of the Centre were to conduct research on the problems related to educational planning, administration, and school supervision as well as conduct short-term training programs.

The correct answer is "taking over".

Key Points

• Taking over means starting to be in charge of or accountable for something, especially in the place of someone else.
• Therefore, the correct sentence would be:
• The taking over of the Asian Institute by the Government of India at the end of a 10-year agreement between it and UNESCO paved the way for its transformation into the National Staff College for Educational Planners and Administrators in 1970.

The correct answer is "transformation".

Key Points

• A transformation is a significant alteration in appearance or form.
• A full change in something or someone's appearance or personality, especially for the purpose of improving that thing or someone, is referred to as a transformation.
• The correct sentence would be:
• The taking over of the Asian Institute by the Government of India at the end of a 10-year agreement between it and UNESCO paved the way for its transformation into the National Staff College for Educational Planners and Administrators in 1970.

The correct answer is "mandate".

Key Points

• Mandate refers to the authority that is formally granted to a group of individuals to take action, often after they have won an election.
• Example:
• The governor's mandate to construct extra roads was carried out by them.
• Therefore, the correct sentence would be: 
• `This college was restructured and re-registered as the National Institute of Educational Planning and Administration (NIEPA) on 31 May 1979, with an expanded mandate.

The correct answer is Alt + Enter

Key Points

• You can insert a new line of text or a space between lines or text in the worksheet cell.
• ​Double-click the cell you want, move the cursor to the position where you want to insert a line break and click Alt + Enter. Hence option 3 is correct.

​

• In the above example, Alt + Enter shortcut was pressed after the letter 'x' in the word.

Additional Information

• Ctrl + Shift + Enter shortcut automatically inserts an array formula.
• Ctrl + Enter fills the selected cells with the current entry.

The correct answer is In MS Excel 2010, we cannot insert comments into a cell.

Key Points

• Adding comments to a cell works as notes or a remainder and is visible when the user hovers over it.
• ​Comments are used for conversations between different users.
• You can insert a comment into a cell. To do that, right-click the selected cell, and click the new comment option. Hence option 1 is correct.
• Whenever you hover over the cell, that comment appears. Various users in the workbook can involve in the conversation by adding a reply.

​

Additional Information

• To insert a table, go to Insert tab > Tables group.
• You can find the table option where you have to enter where you want to insert the table.
• The F12 shortcut is used to save the file. You can also save it from the File tab.
• Ctrl + N shortcut is used to create a new file.