Delhi Police Head Constable (Ministerial) 12 Oct 2022 Shift 3 Official Paper (Previous Year Paper)

The correct answer is 1942.

Key Points

• The Indian National Army also known as the Azad Hind Fauj was an armed force that was formed by imperial Japan and the Indian Nationalists in the year 1942.
• INA was formed during World War II by Indian Nationalists in 1942 in Southeast Asia to overthrow the British Raj in Colonial India, with the help of Japanese assistance.
• Mohan Singh who was a former officer of the British Indian Army captured during the Malay campaign, is known to be the founder of the first INA.
• The first INA disbanded due to the difference caused between Mohan Singh and the Japanese but was formed again under the leadership of Subhash Chandra Bose recommended by Mohan Singh.
• The Rani of Jhansi was the only women's regiment of the INA and it was led by Captain Lakshmi Sahgal.

Additional Information

• 1932 - Poona Pact (agreement between Mahatma Gandhi and B.R. Ambedkar)
• 1937 - Faizpur INC Session headed by Pandit Jawaharlal Nehru (Only INC Session to be held in the village).
• 1940 - August Offer
• 1942 - Quit India Movement which is known as the leaderless movement.

 

The correct answer is NABARD

Key Points

• India's apex development bank NABARD, was established in 1982 under the Act of Parliament to promote sustainable and equitable agriculture and rural development.
• Based on the Committee's interim report recommendation headed by Shri B. Sivaraman, a former Member of the Planning Commission, the creation of the National Bank for Agriculture and Rural Development (NABARD) was approved by the parliament through Act 61 of 1981.
• It was dedicated to the service of the nation by the late Prime Minister Smt. Indira Gandhi on 05 November 1982.
• It was formed in the Sixth Five-Year Plan.

Additional InformationRBI:

• The Reserve Bank of India was established on April 1, 1935, in accordance with the provisions of the Reserve Bank of India Act, 1934.
• The central office of RBI was initially established in Kolkata but was permanently moved to Mumbai in 1937. The Central Office is where the Governor sits and where policies are formulated.
• It was nationationalized in the year 1949 by the Government of India.
• First Governor of RBI: Sir Osborne Smit
• Present Governor: Shaktikanta Das (25th)

SIDBI:

• The Small Industries Development Bank of India (SIDBI) was set up on 02 April 1990 under an act of the Indian Parliament.
• It acts as the Principal Financial Institution for the promotion, financing, and development of the MSME sector.
• Headquartered in Lucknow
• Present Chairman: Sivasubramaniam Ramann.

SBI:

• State Bank of India (SBI) is an Indian multinational public sector bank and financial services statutory body.
• SBI is the 48th largest bank in the world by total assets and ranked 236th in the Fortune Global 500 list of the world's biggest corporations of 2022, being the only Indian Bank on the list.
• Headquartered in Mumbai.
• First Chairman: John Mathai
• Present Chairman: Dinesh Kumar Khara

The correct answer is 42^nd.

Key Points

• The 42nd Amendment of the Constitution, adopted in 1976, enumerated the Fundamental Duties of the citizens.
• The 42^nd Amendment, 1976 added 10 Fundamental Duties.
• The 86^th Amendment, 2002 added the 11th Fundamental Duty.
• In 1976, the Swaran Singh Committee was constituted to make recommendations on the Fundamental Duties.
• Article 51 'A', contained in Part IV A of the Constitution deals with Fundamental Duties.
• The 42^nd Amendment Act is also known as the “Mini-Constitution” or "the Constitution Act, 1976".

Additional Information

• 20th Amendment, 1966- Validates the appointments, postings, promotions, and transfer of District judges.
• 22nd Amendment, 1969- Facilitated the creation of a new autonomous State of Meghalaya within the State of Assam.
• 40th Amendment, 1976- Gave the Parliament the power to periodically define India's territorial seas, continental shelf, exclusive economic zone (EEZ), and maritime zones

Important Points

Fundamental Duties-

1. To abide by the Constitution and respect its ideals and institutions, the National Flag and the National Anthem.
2. To cherish and follow the noble ideals which inspired our national struggle for freedom.
3. To uphold and protect the sovereignty, unity, and integrity of India.
4. To defend the country and render national service when called upon to do so.
5. To promote harmony and the spirit of common brotherhood amongst all the people of India transcending religious, linguistic, and regional or sectional diversities; to renounce practices derogatory to the dignity of women.
6. To value and preserve the rich heritage of our composite culture.
7. To protect and improve the natural environment including forests, lakes, rivers, wildlife, and to have compassion for living creatures.
8. To develop the scientific temper, humanism, and the spirit of inquiry and reform.
9. To safeguard public property and to abjure violence.
10. To strive towards excellence in all spheres of individual and collective activity so that the nation constantly rises to higher levels of endeavor and achievement.
11. Who is a parent or guardian, to provide opportunities for education to his child, or as the case may be, ward between the age of six to fourteen years.​

The correct answer is Bihar.

Key Points

• The Barabar Hills is located in the Makhdumpur region, in Jehanabad district of Bihar.
• The hills embrace the cluster of four caves, together called Barabar Caves.
• These are known as 'Lomas Rishi', 'Sudama', 'Vishwakarma', and 'Karan Chaupar' caves.
• The caves are the oldest surviving rock-cut caves in India dating back to the Maurayan Period ( 322 BCE -185 BCE ).
• These caves are carved from granitic monolithic stone with a high degree of symmetry and have polished inner surfaces.
• The Barabar Caves got included in the list of 90 exotic geoheritage sites of the country by the Geological Survey of India.
• The detailed proposal for inclusion in the tentative list of UNESCO World Heritage sites is being prepared by the Archeological Survey of India

Additional Information

The correct answer is Khatima.

Key Points

• The First CMof Uttarakhand was Nityanand Swami.
• The First Governorof Uttarakhand was Surjit Singh Barnala.
• Current CM of Uttarakhand is Pushkar Singh Dhami and Governor is Gurmit Singh.

Additional Information

• Purola : This constituency located in Uttarkashi district and reserved for Scheduled Caste candidates.
• Yamunotri : It is the origin of Yamuna river and famous for Temple of Goddess of Yamuna which was built by Maharaja Pratap Shah.
• Badrinath : It is a town of Chamoli district and famous for Badrinath Temple which is one of the 4 sites of Bharat's Char Dham Pilgrimage and was re-established as a major pilgrimage site by Adi Shankaracharya in the 8th century.

The current answer is 1885, at Bombay.

Key Points

• Wyomesh Chandra Banerjee was the 1st President of Congress.
• The First session was attended by 72 delegates.
• Allan Octavian Hume was the founder of the Congress on 28 December 1885.

Additional Information

The correct answer is personal income which is available for consumption and saving.

Key Points

• Disposable Personal Income:
• Disposable Personal Income (DPI) is how much money a person has to spend after taxes and any other mandatory withholdings are taken from their paycheck.
• Disposable personal income is the total amount someone has after taxes to spend on necessities, like housing and food.
• It is calculated as DPI=gross wages-taxes.
• Economists use DPI to look at how much money is actually available to spend in a specific area.
• ​Disposable personal income= Personal income (–) personal direct taxes​
• Personal income :
• Personal income is the amount of money collectively received by the inhabitants of a country.
• Sources of personal income include money earned from employment, dividends, and distributions paid by investments, rents derived from property ownership, and profit-sharing from businesses.
• Personal income is generally subject to taxation.

The correct answer is Yahya Sirhindi.

Key Points

• Tarik-i-Mubarak Shahi  is written by Yahya-bin-Ahmad Sirhindi.
• Tarikh-i Mubarak Shahi provides valuable information about the rulers of Sayyid Dynasty (1414-1451 AD) of Delhi.
• It also contains the history of Muhammad Ghori and his rulers up to the third ruler of the Sayyid dynasty.
• The earlier part of the book was written with the help of the works of other historians but the later part was written by him on the basis of trustworthy information and personal knowledge.
• Many later writers have used it as a primary text for their works.

The correct answer is Arunachal Pradesh.

In News

• According to Civil Aviation Minister Jyotiraditya Scindia, India is set to witness a high number of industries holding drone innovation in a bid to make India the World's Drone Hub by 2030.

Key Points

• In Arunachal Pradesh, "Medicine From The Sky Project" was unveiled successfully on Aug 15th, 2022 (After Telangana - 2021).
• This Poject is inspired from Prime MInister's **Vision of Transforming India into World's Drone Hub.**​
• ​​First flight of drone service was carried from Seppa to Chayang Tajo in east Kameng district.
• This project is implemented by **Redwing Labs, Bengaluru.**​

Additional Information

• Manipur, Mizoram and Assam are three of seven sisters.
• Assam is a state in northeastern India known for its wildlife, archeological sites and tea plantations. In the west, Guwahati, Assam’s largest city, features silk bazaars and the hilltop Kamakhya Temple.
• Mizoram  is known for its tourism, culture, and traditions. The hill station of Aizawl is the Capital of Mizoram.
• Manipur is not only famous for its rich culture and traditions but also for its vibrant dance forms and music, scenic landscapes and delectable local cuisines.

The correct answer is Chennai Super Kings.

Key Points

• Chennai Super Kings (CSK), has become the country's first sports Unicorn with its market cap having touched a high of Rs 7,600 crores.
• The Mahendra Singh Dhoni led CSK, which won its fourth IPL title in Dubai (2021) and fifth title in Ahmedabad (2023).
• CSK is the only team to not have had a foreign captain in their rich history.
• Director N. Srinivasan is the current owner of CSK.

Additional Information

• Kolkata Knight Riders (KKR), is owned by Bollywood actor Shah Rukh Khan, actress Juhi Chawla and her spouse Jay Mehta.
• Mumbai Indians (MI), is owned by India's biggest conglomerate, Reliance Industries.
• Royal Challengers Banglore (RCB),  is owned by United Spirits Limited, a company by Diageo Group (a global leader in the alcohol industry). 

The correct answer is 17.64%.

Key Points

• The decadal growth rate from 2001-2011 was recorded as 17.64%.
• The lowest decadal growth rate can be found in Nagaland (-0.5%).
• The first census was conducted in 1872 at the time of Viceroy Lord Mayo.
• The approximate population in India according to the 2011 census is 122 crore.
• 51.54% are Male, and 48.46% are Female.
• The sex ratio is 943.
• The child sex ratio is 919.
• The Literacy rate is approx 74.04%. Of which Male are 82.10% and Female are 65.46%.

Additional Information Top 5 states with the highest growth rate.

 

Mistake Points

• The first complete Census was done in 1881 under Viceroy Lord Ripon.

The correct answer is Third.

In News

Mamata Banerjee became the third-time chief minister in a row in 2021.

Key Points

• The First CM of West Bengal was Dr. Bidhan Chandra Roy. 12 years 156 days. (26^th January 1950 to 1^st July 1962)
• The most serving CM of West Bengal was Jyoti Basu. 23 years 157 days. (21^st June 1977 to 5^th November 2000)
• The first Female CM of West Bengal is Mamata Banerjee. Who is currently serving as CM of West Bengal.

Additional Information

• West Bengal is the 14^th largest state in India.
• The total area is 88,752 sq km. Which is approx 2.7 % of the total area of India.
• In terms of population, it is the 4^th largest state in India.
• The population is approx 9.2 crore (As per 2011 census)
• The literacy rate is approx 76.26% (As per 2011 census)
• The sex ratio is approx 950. (As per 2011 census)

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The correct answer is Bihar.

Key Points

• Peaty and Marshy soil is found in wet, humid regions like river deltas and marshlands, wetlands.
• Mainly its distribution is the northern part of Bihar, southern part of Uttarakhand & Coastal areas of West Bengal, Orissa and Tamil Nadu.
• These are marshy soils that are a result of water logging and anaerobic conditions that lead to the partial decomposition of organic matter. Hence, the formation of peaty soil.
• Peaty soils are normally heavy and black in colour.
• These soils are characterized by a rich humus and organic content, utilized for the cultivation of rice.​

Additional Information

 

peaty and marshy soil

​

  

Confusion Points Soil distribution of India

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The correct answer is Myanmar.

Key Points

• Myanmar, also known as Burma, is the largest of the Mainland Southeast Asian states.
• Naypyidaw is the new capital of Myanmar.
• It is bordered by India to its northwest.
• Earlier the capital of Myanmar was Yangon (Rangoon).

Additional Information

• Afghanistan is located in Central Asia and the capital of Afghanistan is Kabul.
• The Kingdom of Bhutan has a border with the Indian states of Sikkim, Assam, Arunachal Pradesh and West Bengal and its capital is Thimpu.
• China is also known as Zhonghua Renmin, officially the People's Republic of China (PRC) is in East Asia and its capital is **Beijing.**​

The correct answer is Narma.

 In News

• Due to Pink bollworm infestation, rising cotton prices, and Export Demand.​

Key Points

• Narma cotton is a long-staple cotton variety that is known for its strong and durable fibers.
• It is a popular crop in the north-western part of India, particularly in the states of Punjab, Haryana, and Rajasthan.
• Narma cotton is used in a variety of textile applications, including the production of high-quality fabrics such as towels, bedsheets, and denim.
• It is a high-yielding crop that provides farmers with a good income.
• Narma cotton also plays an important role in the region's textile industry.
• Narma cotton is a relatively drought-tolerant crop, and it can be grown with less water than other cotton varieties.
• This makes it a good choice for farmers in regions that are facing water scarcity.

Important Points

• It is named after the Narmada River, which flows through the north-western region of India.
• Narma cotton is also known as "American cotton" because it was originally introduced to India from the United States.
• Some popular Narma cotton varieties grown in north-western India include FCH 16-18, BCH 13-2, FCH 1138, FCH 1030, FCH 1234, and FCH 1346.

Additional Information

• Robta: A long-staple cotton variety grown in India, known for its strong and durable fibers.
• Boro: A rice variety grown in South Asia, known for its high yields and ability to grow in a variety of conditions.
• Arabica: A coffee variety known for its mild flavor and high acidity.

The correct answer is Kerela.

Key Points 

• The International Institute of Advanced Virology (IIAV) is a state-of-the-art virology research institute located in the Bio 360 Life Sciences Park at Thiruvananthapuram, Kerala, India.
• It was established in 2018 by the Government of Kerala through the Kerala Biotechnology Commission (KBC) of the Kerala State Council for Science Technology and Environment (KSCSTE) in the wake of the 2018 Nipah virus outbreak in Kerala.
• The IIAV is envisioned as an institute of global standards networking Global Virology Institutes with the most modern laboratories focusing on research, diagnosis, and management of emerging and re-emerging infectious viral diseases.
• The IIAV is also affiliated with the Global Virus Network (GVN).
• The first phase of the IIAV was inaugurated on February 9, 2019, by the Chief Minister of Kerala, Pinarayi Vijayan.

Important Points

• The IAV has been established to strengthen Kerala's preparedness to deal with future pandemics and other viral outbreaks.
• The institute is also working to develop new vaccines and diagnostic tests for viral diseases.

Additional Information

• Maharashtra: The state is home to several leading virology research institutes, including the National Institute of Virology (NIV) in Pune and the Indian Institute of Science Education and Research (IISER) in Pune.
• Karnataka: The state is home to the National Institute of Mental Health and Neuro Sciences (NIMHANS) in Bengaluru, which has a strong virology research program.
• Tamil Nadu: The state is home to the King Institute of Preventive Medicine (KIPM) in Chennai, which is a leading virology research and diagnostic center in India.

The correct answer is Satbir Singh v. State of Haryana.

Key Points

• Satbir Singh v. State of Haryana
• The case is related to the prominent death of women due to dowry
• The guideline of court is to trial court that " soon before her death " does not mean just before death of women there should be a proper connection between dowry death and cruelty for dowry demanded by the husband or relatives

Additional Information

• Rahul Sharma v. National Insurance Company Ltd case is related to the Motor Accident claims Tribunal.
• Devilal v. State of Madhya Pradesh is case of caste dispute and accused Devilal with his two son injured and died.
• Laxmibai Chandaragi v. State of Karnataka is a case of right choose a life partner is a Fundamnetal rights under Article 21.

The correct answer is High 

Key Points Green Revolution -

• HYV seed stand for High Yielding Varieties.
• The Green Revolution was an initiated by Norman Borlaug in the 1960s. He is known as the 'Father of Green Revolution' in world
• In India, the Green Revolution was mainly led by M.S. Swaminathan
• The Green Revolution resulted in a great increase in production of food grains especially wheat and rice.
• Green Revolution  early  successes were in Mexico and the Indian.

Additional Information Objectives of Green Revolution -

• Modernized the agriculture sector and make it profitable and efficient.
• Improve the income and living standards of farmer and rural area people.
• To achieve Self-reliance and food security.

 Impact of Green Revolution -

• It result in increase in crop production
• Reduce the import of food grain so the per capita food grain increased.
• Green Revolution helped the farmers in raising their level of income.

The correct answer is ​Kuchipudi.

Key Points

• Kuchipudi is dance and drama performance, its root in the ancient Sanskrit text Natya Shastra.
• It originates from a village named Kuchipudi in the Indian state of Andhra Pradesh.
• Kuchipudi is known for its impressive, quick footwork, dramatic characterization, expressive eye movements and spirited narrative.
• Kuchipudi  is a combination of Tandava and Lasya.
• Yamini Krishnamurthy is related to both Kuchipudi and Bharatnatyam.

Additional Information Manipuri -

• Manipuri Dance, also referred to as the Manipuri Raas Leela  is one of the eight major Indian classical dance forms.
• Originated from the state of Manipur.
• Some of the famous dancers of the Manipuri Dance include Darshana Jhaveri, Yumlembam Gambhini Devi, Guru Bipin Sinh, Nirmala Mehta, Guru Bipin Singh, Charu Mathur, Nayana, Ranjana & Suverna, Devyani Chalia.

 ​Odissi- 

• Odissi is a classical India dance form it originates from the state of Odisha.
• Odissi mainly deals with religious themes. One of the popular themes is the spiritual love of Radha and Krishna.
• Odissi is a highly stylised dance and to some extent is based on the classical Natya Shastraand the Abhinaya Darpana.

Kathak-

• Kathak refers to one of the major classical dance forms  found in northern India.
• The roots of this dance form trace back to Sanskrit Hindu text on performing arts called ‘Natya Shastra’ written by ancient Indian theatrologist and musicologist Bharata Muni.
• Famous dancer Janaki Prasad of the Benaras Gharana.
• Pandit Birju Maharaj of the Lucknow Gharana.
• Raja Chakradhar Singh of the Raigarh Gharana.

The correct answer is Kerala.

Key Points

• Onam is a major festival of India Primarily celebrated in the Indian State of Kerala.
• The Onam festival is celebrated because of the Homecoming of King Mahabali.
• The Onam celebrations include Pookalam, Kathakli, Onasadhya, Snake boat race, and Pulikali majorly.
• On this Day Religion, caste or creed are not of Importance in the state.

Given:

James can do a work in 5 days,

William in 8 days

Peter in 12 days

Calculations:

According to the question,

One-days work of James = 1/5 units

One-days work of William = 1/8 units

One-days work of Peter = 1/12 units

One-days work of all-together 

⇒ (1/5 + 1/8 + 1/12) units

⇒ (24 + 15 + 10)/120 units

⇒ 49/120 units

Total days to complete the work together = 120/49 days or $2{22 \over 49}$ days.

∴ The time taken by James, William and Peter to do the work if they work together will be $2{22 \over 49}$ days.

Formula Used:

a³ + b³ + c³ - 3abc = $1\over 2$(a + b + c){(a - b)² + (b - c)² + (c - a²)}

Calculation:

Using the above formula, we get, 

⇒ $1\over 2$(459 + 460 + 463){(459 - 460)2 + (460 - 463)2 + (463 - 459)2}

⇒ $1\over 2$(1382){(- 1)2 + (- 3)2 + (- 4)2}​​​

⇒ $1\over 2$(1382){1 + 9 + 16}

⇒ 691(26)

⇒ 17966

∴ The value of the given expression is 17966.

Given:

Proportional numbers 20:24::40:?

Calculations:

According to the question,

Let the unkon proportional no. be x

⇒ 20:24::40:x

⇒ 20/24 = 40/x

⇒ x = (40 × 24)/20

⇒ x = 2 × 24 = 48

∴ The fourth proportional to the numbers 20, 24, 40 is 48

Given:

(5.5 × 5.5 – 16.5 + 1.5 × 1.5)

Calculations:

According to the question,

(5.5 × 5.5 – 16.5 + 1.5 × 1.5)

⇒ 30.25 - 16.5 + 2.25

⇒ 32.5 - 16.5 = 16

∴ (5.5 × 5.5 – 16.5 + 1.5 × 1.5) is equal to 16.

Given:

Total amount = Rs. 3270

Rate of interest = 9%.

Time = 3 years.

Annual installments.

Concept:

All installments are equal in the case of simple Intrest if no conditions specified.

Formula used:

Installment (100 × A)/[(100 × t) + (r × t × (t - 1)/2)]

Where T is time,

r is the rate of interest

A is the amount.

Calculation:

According to the question,

Installment = (100 × 3270)/((100 × 3) + (9 × 3 × (3 - 1)/2))

⇒ Installment = (100 × 3270)/((300) + (27 × 2/2))

⇒ Installment = (100 × 3270)/(300 + 27)

⇒ Installment = 327000/327 = Rs. 1000

∴ The annual installment will be Rs. 1000.

Given:

Raju can complete a piece of job in 15 hours,

Vinay in 20 hours 

Vardhan in 30 hours.

Total earning from working together Rs. 7,200 for the job

Concept Used:

Efficiency = Total Work/Total Time

Total Work = LCM of total number of days

Amount is divided as per the ratio of efficiency.

Calculations:

Total work = LCM of 15, 20 and 30

⇒ Total units of work = 60 units

Raju's efficiency, 

⇒ 60/15 = 4 units/hour

Vinay's efficiency, 

⇒ 60/20 = 3 units per hour

Vardhan's efficiency = 60/30 = 2 units/hour

Total efficiency = 4 + 3 + 2 = 9 units/hour

According to the question, 

⇒ 7200 = 9 units

⇒ 1 unit = 7200/9 = 800

 Vinay's efficiency, 

⇒ 3 units = 3 × 800 = 2400

∴ Vinay received Rs. 2400.

Given:

ABCD is a square. DEC is an equilateral triangle.

Concept used:

All sides of square are equal

All sides of equilateral triangle are equal

Adjacent angles of Isosceles triangle are equal

Sum of all the angles of triangle  = 180° 

Calculations:

ABCD is a square,

⇒ AB = BC = CD = DA

DEC is an equilateral triangle,

⇒ CD = DC = CE

Therefore, AB = BC = CD = DA = CE = DC

In △DAE,

⇒ AD = DE

Thus, ∠DEA = ∠EAD = y

∠EDA = ∠CDA + ∠CDE

⇒ ∠EDA = 90° + 60°

⇒ ∠EDA = 150° 

Sum of angles of triangle DAE = 180°

∠EDA + ∠DEA + ∠DAE = 180°

⇒ 150° + y + y = 180°

⇒ 2y = 180° - 150°

⇒ 2y = 30°

⇒ y = 15°

∴ ∠DAE = 15°.

Given:

Marked price = Rs. 640

Selling price = Rs. 489.60

Formula used:

S.P. = (1 - D₁/100)(1 - D₂/100) × M .P.

Calculations:

According to the question,

489.6 = (1 - 10/100)(1 - x/100) × 640

⇒ 489.6 = (1 - 10/100)(1 - x/100) × 640

⇒ (1 - x/100) = (489.60 × 100)/(90 × 640)

⇒ (1 - x/100) = 0.85

⇒ x/100 = 1 - 0.85

⇒ x = 0.15 × 100 = 15

∴ The value of x is 15.

Given:

A motorcycle goes 35 meters in 9 seconds

Formula used:

Speed = Distance/Time

Concept used:

To convert from m/s to km/h = m/s × 18/5

Calculations:

According to the question,

Speed = 35/9 m/s

⇒ Speed in km/h = (35/9)(18/5)

⇒ Speed = 7 × 2 = 14 km/h

∴ Speed in km/h is 14 km/h.

Given:

Average weight of 12 members = 55 kg

Weight of a man included the new average = 56 kg

Concept used:

Average = Total weight/Total members

Calculation:

Let the weight of new member be x

Total weight of a family = 55 × 12 = 660

⇒ New Average = (660 + x)/13

⇒ 56 = (660 + x)/13

⇒ 56 × 13 = (660 + x)

⇒ 728 = (660 + x)

⇒ 728 - 660 = x

⇒ x = 68

∴ The weight of the new member is 68 kg.

Given:

The selling price of 10 mangoes is equal to the cost price of 12 mangoes,

Formula used:

P% = [(SP - CP)/CP] × 100

Calculations:

Let the CP of mangos be x and SP be y

According to the question,

10y = 12x

⇒ y = 12x/10

⇒ y = 6x/5

Now the Proft%,

P% = [(6x/5 - x)/x] × 100

⇒ P% = (6/5 - 1) × 100

⇒ P% = (6 - 5)/5 × 100

⇒ P% = 1/5 × 100 = 20%

∴ The profit percentage is 20%.

Given:

Perimeter = 16 cm

Concept used:

Perimeter of an isosceles triangle = 2a + y

An isosceles right triangle's surface area = 1/2 × a2

Equal sides make up an isosceles triangle = a 

Calculation:

The two sides of the right angle are equal in an isosceles right angled triangle.

As a result, the isosceles right angled triangle's hypotenuse = √(a² + a²) = √2 a

Let the equal sides be a

Perimeter = a + a + a√2 = 16

⇒ 2a + a√2 = 16

⇒ a(2 + √2) = 16

⇒ a = 16/(2 + √2)

⇒ a = (16(2 - √2))/((2 + √2)(2 - √2))

⇒ a = (16(2 - √2))/(2² - (√2)²)

⇒ a = (16(2 - √2))/(4 - 2)

⇒ a = (16(2 - √2))/2

⇒ a = 8(2 - √2)

Now Area,

A = 1/2 × (8(2 - √2))²

⇒ A = 1/2 × 64(4 + 2 - 4√2)

⇒ A = 1/2 × 2 × 64(2 + 1 - 2√2)

⇒ A = 64(3 - 2√2)

∴ The area of an isosceles right-angled triangle is 64(3 - 2√2) cm².

Concept Used:

${0.a\overline {bc}}$ = ${abc - a}\over 990$, 

numerator = subtract a non-barred number from the complete number

denominator = 9 will come as many times as barred digits are there, and 0 will come as many times as barred digits

Calculation:

$0.51\overline{345}$

⇒ ${51345 - 51}\over 99900$

⇒ $51294 \over 99900$

∴ The value  of $0.51\overline{345}$  is $51294 \over 99900$.

Given:

a2 + b2 + c2 = 529 and (ab + bc + ca) = $147 \over 2$,

Concept used:

(a + b + c)² = a² + b² + c² + 2ab + 2bc + 2ca ,

Calculations:

According to the question,

(a + b + c)2 = a2 + b2 + c2 + 2ab + 2bc + 2ca

⇒ (a + b + c)2 = (a2 + b2 + c2)+ 2(ab + bc + ca)

⇒ (a + b + c)2 = (529) + 2(147/2)

⇒ (a + b + c)2 = 529 + 147

⇒ (a + b + c)2 = 676

⇒ (a + b + c) = √(676)

⇒ (a + b + c) = 26 or -26

∴ The value of given equation is -26.

Given:

A sum of Rs. 10,000 at the rate of 8% p.a. for a period of 3 years

Formula used:

SI = (P × R × T)/100

CI = P(1 + R/100)^T =  P(1 + R%)T

Calculations:

According to the question,

Amount = CI - SI

⇒ A = P[((1 + R%)T) - ((R × T)/100)]

⇒ A = 10000[((1 + 8%)3) - ((8 × 3)/100)]

⇒ A = 10000[((1 + 0.08)3) - (24/100)]

⇒ A = 10000[(1.08)3 - 0.24]

⇒ A = 10000[(1.08)3 - 0.24]

⇒ A = 10000[1.259712 - 0.24]

⇒ A = 10000[1.019712] = Rs. 10197.12

Difference = 10000 - 10197.12 = Rs. 197.12

∴ The difference between the compound interest and the simple interest is of 197.12.

Alternate Method

Formula used:

• Difference between C.I & S.I for 3 year = $\frac{P \times r^2 \times (300 + r)}{100^3}$ 

Calculation:

⇒ $\frac{10000 \times 8^2 \times (300 + 8)}{100^3}$ 

⇒ $\frac{10000 \times 64 \times 308}{1000000}$ 

⇒ $\frac{64 \times 308}{100}$ 

⇒ 197.12

∴ The correct answer is 197.12

Formula used:

secθ = cosec(90 - θ)                                

cotθ = tan(90 - θ) also tanθ = cot(90 - θ)

sin45° = 1/√2 

sec2θ - tan2θ = 1

cosec2θ - cot2θ = 1

sinθ × cosecθ = 1

Solution:

${\sec^2 54^{\circ}-\cot^236^{\circ} \over {\ cosec^2 57^{\circ}-\tan^233^{\circ}}} + 2\sin^258^{\circ}.\sec^232^{\circ}-\sin^245^{\circ}$

Using the first set of formulae, 

⇒ ${\sec^2 54^{\circ}-\tan^2(90 - 36)^{\circ} \over {\ cosec^2 57^{\circ}-\tan^2(90 - 33)^{\circ}}} + 2\sin^258^{\circ}.\ cosec^2(90 - 32)^{\circ}-\sin^245^{\circ}$

⇒ ${\sec^2 54^{\circ}-\tan^2(54)^{\circ} \over {\ cosec^2 57^{\circ}-\cot^2(57)^{\circ}}} + 2\sin^258^{\circ}.\ cosec^2(58)^{\circ}- (1/\sqrt 2)^2$

Using the second set of formulae,

⇒ ${1\over {1}} + 2(1) - {1 \over 2}$

⇒ 3 - 1/2 = 5/2

∴ The value of is 5/2.

Given:

The ratio of the ages between A and B is 2 ∶ 3

Concept used:

Percentage = (Given value/reference value) × 100

Calculations:

According to the question,

Percentage = (Age of B/Age of A) × 100

⇒ P = (3/2) × 100

⇒ P = 1.5 × 100 = 150%

∴ B’s age is 150% of A’s age.

Shortcut Trick

Radius (r) = 3 m

Volume of Hemisphere = (2 ÷ 3) × π × r³

⇒ Volume = (2 ÷ 3) × π × 3³

⇒ Volume = (2 ÷ 3) × π × 27 = 18π m³

∴ The correct answer is 18π m³.

Alternate Method

Given:

⇒ Radius (r) of the sphere = 3 m

⇒ The sphere is cut into two equal halves, forming two hemispheres.

Formula Used:

⇒ Volume of Sphere = (4 ÷ 3) × π × r³

⇒ Volume of Hemisphere = (1 ÷ 2) × Volume of Sphere = (2 ÷ 3) × π × r³

Calculations:

⇒ Volume = (2 ÷ 3) × π × (3)³

⇒ Volume = (2 ÷ 3) × π × 27

⇒ Volume = 2 × π × 9

⇒ Volume = 18π m³

∴ The correct answer is 18π m³.

Additional Information

Surface Area of Hemisphere

The Curved Surface Area (CSA) is 2πr² and the Total Surface Area (TSA) is 3πr².

Sphere Properties

For a complete sphere, the Surface Area is 4πr² and the Volume is (4 ÷ 3)πr³.

Units of Volume

Volume is always measured in cubic units (m³, cm³, etc.) as it represents three-dimensional space.

Given:

The population of 7 villages is shown in the following pie chart.

<br>

If the total population of all the villages is 60000

Calculations:

According to the question,

Population of village G = 15% of total population of all villages

Population of G = 15% × 60000

Population of G = 0.15 × 60000 = 9000

∴ The population of village G is 9000.

Given:

All the prime numbers between 80 and 100

Calculations:

According to the question,

All the prime numbers between 80 and 100 = 83, 89, 97

Sum of all the prime numbers between 80 and 100 = 83 + 89 + 97 = 269

∴ The sum of all the prime numbers between 80 and 100 is 269.

As we can see that, the letter I is common in both the dices as shown in the figure:

Arrange the letter of each dice in clock wise direction  starting from the common letter as:

1st Dice: I - E - F

2nd Dice: I - D - H

So, from this we can say that, F and H are opposite to each other.

Thus, letter F face opposite to letter H.

Hence, the correct answer is 'option 3'.

As we can see the circle shape contains the females and the rectangle one is of from Maharashtra.

So, total females who are from Maharashtra 

=31+9=40

Hence, the correct option is '40'.

Given:

The logic here is:

1. The letter 

 is placed at the corners in clockwise direction moving one step and then two steps and this pattern is repeated.

2. The shape 

 is placed opposite to letter 

.

3. The shape 

is placed next to letter 

 in the 1st two images and then in the exactly middle of the line in the next two images. This is repeated.

 

Thus, the next image will be:

Hence, the correct answer is 'option 3'.

According to the given statements, we will get the Venn diagram as:

Next, we will check the conclusions

I. Some sharpeners are colours → **Follows [**Since given some pens are colours and all pens are sharpeners. So, some sharpeners are colours is definitely true.]

II. All pencils are pens → **Does not Follow [**Since given some pens are colours and all colors are pencils. So, this means that some pencils are colours. So, we can say that, some pencils are pens but not all. The conclusion is possible but not definitely true] 

Thus, only conclusion 1 is true.

Hence, the correct answer is 'option 3'.

Given: CR_LDRP_E_PL_RPL 

Let's check each option:

1) PRFD: CRPL - DRPR - EFPL - DRPL

2) PEDR: CRPL - DRPE - EDPL - RRPL

3) PLRF: CRPL - DRPL - ERPL - FRPL

<br>

4) EDPR: CREL - DRPD - EPPL - RRPL  

Option 3 forms a combination: CRPL - DRPL - ERPL - FRPL

Thus, the letters 'PLRF' will complete the series as it is repeating itself. 

Hence, the correct answer is 'option 3'.

According to the given statement, we have:

1) Six students are sitting around a circular table facing the centre. Amar is sitting second to the right of Diya.

2. Ananya is an immediate neighbour of both Diya and Ishan. Inaya is sitting third to the right of Ishan.

3. Nikhil is sitting second to the left of Ananya. Thus, the final sitting arrangement will be:

 

Thus, Diya is sitting between Inaya and Ananya.

Hence, the correct answer is 'option 2'.

The alphabets and their positions are:

The logic used here is:

Thus, the missing letter cluster is 'MHHR'.

Hence, the correct answer is 'option 2'.

The pattern used here is:

Thus, the next number will be 400.

Hence, the correct answer is 'option 1'.

As per the given statements:

G is sister of E.

C is mother of E.

D is the son of F and brother of C.

F is married to A.

B is brother-in-law of D.

Hence, G is the daughter of B.

Hence, the correct answer is 'Option 4'.

Logic: (First Number ÷ 7) + 7 = Second Number

So, 112 : 23 → (112 ÷ 7) + 7 = 16 + 7 = 23 

and 252 : 43 → (252 ÷ 7) + 7 = 36 + 7 = 43

Similarly, for ? : 28 →

(? ÷ 7) + 7 = 28

⇒ (? ÷ 7) = 21

⇒  ? = 147

Thus, the missing number is 147.

Hence, the correct answer is 'option 3'.

We are given 6 letters and out that letter X is common in both the dices as shown below:

We will read the dice in clockwise direction as:

1st dice: X - W - S

2nd dice: X - U - V

Thus, letter X will be opposite to letter T. 

Hence, option '4' is correct.

BODMAS Rule:

Given: 31 * 46 * 2 * 341 * 206 = 821

Now, Checking all the options:

1) +, ÷, ×, −

Applying signs, we will get,

⇒ 31 + 46 ÷ 2 × 341 - 206 = 821 

Apply BODMAS rule, we will get,

⇒ 31 + 23 × 341 - 206 = 821

⇒ 31 + 7843 - 206 = 821

⇒ 7874 - 206 = 821

⇒ 7668 ≠ 821

 

2) +, ×, −, −

Applying signs, we will get,

⇒ 31 + 46 × 2 - 341 - 206 = 821 

Apply BODMAS rule, we will get,

⇒ 31 + 92 - 341 - 206 = 821

⇒ 31 + 92 - 341 - 206 = 821

⇒ 123 - 547 = 821

⇒ - 424 ≠ 821

 

3) ÷, ×, −, +

Applying signs, we will get,

⇒ 31 ÷ 46 × 2 - 341 + 206 = 821 

Apply BODMAS rule, we will get,

⇒ 0.673 × 2 - 341 + 206 = 821 

⇒ 1.347 - 341 + 206 = 821

⇒ 207.347 - 341 = 821

⇒ - 133.653 ≠ 821

 

4) ×, ÷, +, −

Applying signs, we will get,

⇒ 31 × 46 ÷ 2 + 341 - 206 = 821 

Apply BODMAS rule, we will get,

⇒ 31 × 23 + 341 - 206 = 821

⇒ 713 + 341 - 206 = 821

⇒ 1054 - 206 = 848

⇒ 848 = 848

Thus, the correct combination of sign is '×, ÷, +, −'.

Hence, the correct answer is 'option 4'.

Logic is: Second term = (square of First term) + First term

Third term = square of (First term +1)

Given: (12, 156, 169) :  2nd term = $(12)^2 + 12$ = 156, 3rd term = 13² = 169

And, (14, 210, 225): 2nd term = $(14)^2 + 14$ = 210, 3rd term = 15² = 225

Let's check the options:

1) (5, 20, 16):2nd term = $(5)^2 + 5 = 30 \ne 20$ , 3rd term = 6² = 36 $\ne$ 16

2) (8, 72, 100): 2nd term = $(8)^2 + 8 = 72$, 3rd term = 9² = 81 $\ne$ 100

3) (10, 110, 100): 2nd term = $(10)^2 + 10 = 110$, 3rd term = 11² = 121 $\ne$ 100

4) (6, 42, 49): 2nd term = $(6)^2 + 6 = 42$, 3rd term = 7² = 49

Thus, the set of numbers '(6, 42, 49)' is related in the same way as given.

Hence, the correct answer is 'option 4'.

The pattern is that which instrument is played by the person (musician).

Here, Hariprasad Chaurasia played flute.

Similarly,

Bismillah Khan played Shehnai.

Hence, the correct answer is 'option 3'.

The correct mirror image of the given combination when the mirror is placed at MN is as shown below :-

Detailed Explanation:

• The line MN is the mirror.
• The word "Lde94e" the last letter is "e". So, the mirror should be " 

" ⇒ Option 2 is eliminated.

• In the given word the second last letter is "

". So, the mirror image should be "

" ⇒ Option 1 and 3 are eliminated

Hence, the correct answer is 'Option 4'.

Additional Information

• In a mirror image Left changes to right and the right changes to left where top and bottom remains the same.
• When placement of mirror not given, by default we will assume it in vertical direction.
• The starting letter word will be at last after the mirror image drawn with left changes to right and right changes to left.

From the given information,

Based on given data, we can draw family tree,

Thus, the man is brother of chitra.

Hence, the correct answer is 'option 2'.

The word EVIDENCE is coded as:

And the word FORECAST is coded as:

Similarly the word INTEGRAL will be coded as:

Thus, the word INTEGRAL is coded as ETNILARG.

Hence, the correct answer is 'option 2'.

BODMAS Rule:

Given: 24 ÷ 12 + 6 × 28 - 30 = 10

We will check all the options as below:

1. ÷ and ×

Applying the signs, we will get,

⇒ 24 × 12 + 6 ÷ 28 - 30 = 10

Applying the BODMAS rule, we will get,

⇒ 24 × 12 + 0.21 - 30 = 10 

⇒ 288 + 0.21 - 30 = 10

⇒ 258.21 = 10, is not true

2) + and ×

Applying the signs, we will get,

⇒ 24 ÷ 12 × 6 + 28 - 30 = 10

Applying the BODMAS rule, we will get,

⇒ 2 × 6 + 28 - 30 = 10

⇒ 12 + 28 - 30 = 10

⇒ 10 = 10, is true

3) - and ÷

Applying the signs, we will get,

⇒ 24 - 12 + 6 × 28 ÷ 30 = 10

Applying the BODMAS rule, we will get,

⇒ 24 - 12 + 6 × 0.93 = 10

⇒ 24 - 12 + 5.6 = 10

⇒ 17.6 = 10, is not true

4) × and -

Applying the signs, we will get,

⇒ 24 ÷ 12 + 6 - 28 × 30 = 10

Applying the BODMAS rule, we will get,

⇒ 2 + 6 - 28 × 30 = 10

⇒ 2 + 6 - 840 = 10

⇒ -832 = 10, is not true

Thus, signs '+ and ×' are interchange to make the given equation correct.

Hence, the correct answer is 'option 2'.

The alphabet and their positions are:

1. EVGX: 

2. BYEA:

 

3. CXEZ:

4. AZCB:

Thus, the letter cluster 'BYEA' does not belong to the group.

Hence, the correct answer is 'option 2'.

According to the given statements we have:

1) Six friends I, J, K, L, M and N are sitting around a circular table facing the centre. I is sitting second to the left of M.  J is sitting second to the left of I.  

 

2) K is sitting second to the right of N. N is the only one sitting between I and M.

 

Thus, the final sitting arrangement will be:

 

Thus, J is sitting between L and K.

Hence, the correct answer is 'option 3'.

The alphabet and their positions are:

The code for VJRDS : IPEJF is:

And the code for GLRDX : TREJK is:

Similarly the code for PTCJR : ? will be:

Hence, the correct answer is 'option 1'.

As we can see that the shapes 

 and 

interchange their positions in each step.

Next we can see that, 

 is moving in anticlockwise direction with 90 degree turn in each step at its own place.

Also, for the shape  

is moving in clockwise direction with 5 degree turn in each step at its own place.

 

Thus, the next figure will be:

Hence, the correct answer is 'option 3'.

Arrange the given words in alphabetic order as:

3 Fearless

4 Fearsome

2 Felicity

1 Feminism

5 Fetching

Thus, the order of words is 3, 4, 2, 1, 5 in alphabetic order.

Hence, the option '2' is correct.

The pattern used here is:

Thus, the missing number is 834.

Hence, the correct answer is 'option 2'.

The alphabet and their positions are:

For the word UNTIL, we have:

 

For the word ALONG, we have:

 

Similarly the word ADMIT is coded as:

 

Thus, the word ADMIT is coded as VLOGC.

Hence, the option 'c' is correct.

The correct answer is "combat"

Key Points

• ​Battle means a fight between armed forces.
• Example: The battle of Somme.
• ​Marked option combat means a fight, especially during a war.
• ​Example: There was fierce combat between the two sides.
• ​ Therefore, the correct answer is option 2.

Additional Information

• ​Let's understand the usage and meaning of the other options.

The correct answer is "came forward to help"

Key Points

• The most appropriate option to substitute the underlined segment in the given sentence is 'came forward to help.'
• Here, in the given question, 'forward' should be used instead of 'forwards.'
• The word 'forwards' is a wrong usage and it does not contain meaning.
• Forward: towards the future.
• Example: I always look forward, not back.
• Therefore, as per the points mentioned above, the correct answer is option 4. ​​

​Correct sentence:  They came forward to help the children in distress.

The correct answer is "impartial"

Key Points

• In the given fill-in-the-blank, the most appropriate answer is 'impartial.'
• Impartial: not supporting any of the sides involved in an argument.
• Example: A trial must be fair and impartial.
• Therefore, the correct answer is **option 3.**​

Additional Information​

• Let's understand the usage and meaning of the other options.

The correct answer is "ACDB"

Key Points

• Sentence A should come first as it is the opening of the paragraph.
• Sentence C is the second sentence as it states the first step where a response is established.
• Sentence D is the third sentence as it states about a formal picture resting on building blocks.
• Sentence B comes at the end as it is the conclusion of the paragraph.

Additional Information

• ​The paragraph after the re-arrangement is as follows:
• Acquisition is a very significant stage in learning process. It is the first step where response is established. These responses lay the foundation for difficult learning. The formal picture would be seen as building blocks resting on each other.

The correct answer is "elocution"

Key Points

• In the given options, the most appropriate answer is 'elocution.'
• Elocution: the art of careful public speaking, using clear pronunciation and good breathing to control the voice.
• Example: The syllables were pronounced by the actors in a variety of elocutions.
• Therefore, the correct answer is **option 1.**​

Additional Information

• ​Let's understand the usage and meaning of the other options.

The correct answer is "inconceivable"

Key Points

• Plausible means seeming likely to be true.
• Example: A plausible explanation.
• Marked option inconceivable means impossible to imagine.
• Example: The idea that they might not win was inconceivable to him.
• Therefore, the correct answer is **option 1.**​

Additional Information

• Let's understand the usage and meaning of the other options.

The correct answer is "at"

Key Points

• In the given options, the most appropriate answer is 'at'
• It is a preposition.
• A preposition is a word or group of words used before a noun, pronoun, or noun phrase to show direction, time, place, location, etc.
• Example: He eats lunch at noon.
• Therefore, as per the points mentioned above, the correct answer is option 4.

The correct answer is "to be completed in time"

Key Points

• In the given options, the most appropriate option that can substitute the underlined segment  is 'to be completed in time.'
• Here, 'to be completed in time' should be used instead of 'to complete in time.'
• Here, the sentence states that the assignment cannot be completed within the time limit.
• Therefore, as per the points mentioned above, the proper usage and the correct answer is option 3.

The correct answer is "means of livelihood"

Key Points

• The most appropriate meaning of the given idiom is 'means of livelihood.'
• Bread and butter: a job or activity that provides you with the money you need to live.
• Example: Gardening is my bread and butter right now.
• Therefore, as per the points mentioned above, we find that the correct answer is option 3.​

Additional Information

• Let's look at the usage and meaning of some idioms.

The correct answer is "adamant, persuaded"

Key Points

• In the given options, the most appropriate answer is 'adamant, persuaded.'
• Adamant: unwilling to change an opinion or decision.
• Example: I have told her she should stay at home and rest but she is adamant that she is coming.
• Persuaded: to make someone do or believe something by giving them a good reason to do it.
• Example: If she doesn't want to go, nothing you can say will persuade her.
• Therefore, as per the points mentioned above, the correct answer is **option 4.**​

Correct sentence: Though Peter was adamant in the beginning, later his friends persuaded him to join the party.

The correct answer is "expresion"

Key Points

• In the given options, the incorrectly spelt word is 'expresion'
• The correct spelling of the word is 'expression'
• Expression: the act of saying what you think or showing how you feel using words or actions.
• Example: He wrote a poem as an expression of his love.
• Therefore, the correct answer is option 2.​

Additional Information

• ​Let's look at the usage and meaning of the other options.

The correct answer is "bandying"

Key Points

• In the given options, the most appropriate answer that can be used as a one-word substitute is 'bandying'
• Bandying: to talk about something without careful consideration.
• ​Example: Wild guesses of the value of the painting were being bandied about.
• ​ Therefore, the correct answer is **option 2.**​

Additional Information

• Let's understand the usage and meaning of the other options.

The correct answer is "secure"

Key Points

• Precarious means in a dangerous state because of not being safe.
• Example: The lorry was lodged in a very precarious way, with its front wheels hanging over the cliff.
• Secure means positioned or fixed firmly and correctly.
• Example: That ladder doesn't look very secure to me.
• Therefore, the most appropriate antonym of the given word 'precarious' is 'secure.'​

Additional Information

• Let's understand the usage and meaning of the other options.

The correct answer is "proclaimed"

Key Points

• Ordained means to order or establish something officially..
• Example: The church ordained her as its first female pastor.
• Proclaimed means to announce something publicly or officially.
• Example: All the countries have proclaimed their loyalty to the alliance.
• ​Therefore, as per the points mentioned above, the correct answer is option 4.

Additional Information​

• ​Let's understand the usage and meaning of the other options.

The correct answer is "here"

Key Points

• In the given options, the most appropriate homophone of the given word is 'here.'
• Homophones are words that sound similar to another word but have different spellings and meanings.
• Examples: see-sea, new-knew, fair-fare
• Therefore, the correct answer is **option 4.**​

Additional Information

• Let's look at some homophones.

​

The correct answer is "back to the drawing board"

Key Points

• In the given options, the most appropriate idiom to complete the given sentence is 'back to the drawing board.'
• Back to the drawing board: to start over
• Example: The company went back to the drawing board to make a better product.
• Therefore, as per the points mentioned above, the correct answer is **option 4.**​

Additional Information

• ​Let's understand the usage and meaning of the other idioms given in the options.

​

The correct answer is "agnostic"

Key Points

• In the given options, the most appropriate option that can be used as a one-word substitute is 'agnostic.'
• Agnostic: believes that it is impossible to know if a god exists.
• Example: The group includes atheists and agnostics as well as religious believers.
• Therefore, the correct answer is **option 2.**​

Additional Information

• ​Let's understand the usage and meaning of the other options.

The correct answer is "you seen it yourself"

Key Points

• In the given options, the most appropriate answer is 'you seen it yourself.'
• Here, 'have seen' should be used instead of 'seen.'
• In this sentence, the verb 'have seen' indicates seen recently or seen in the indefinite past.
• Example: I have seen you.
• The verb form 'have seen' is used in the present perfect tense.
• The formation of the present perfect tense is :
• Subject + have/has + past participle
• ​Therefore, as per the points mentioned above, the correct answer is option 2.

The correct answer is "parliment"

Key Points

• In the given options, the incorrectly spelt word is 'parliment.'
• The correct spelling of the word is 'parliament.'
• Parliament: the group of elected politicians who make the laws for their country.
• ​Example: She was elected to Parliament in 1997.
• ​ Therefore, the correct answer is option 4.​​

Additional Information

• ​Let's look at the usage and meaning of the other options.

The correct answer is "stuffy"

Key Points

• In the given options, the most appropriate answer is 'stuffy.'
• Airy: with a lot of light and space.
• Example: The new offices are light and airy.
• Stuffy: unpleasant because it has no fresh air.
• Example: A stuffy office.
• ​ Therefore, the correct answer is **option 1.**​

Additional Information

• Let's look at the usage and meaning of the other options.

The correct answer is "in"

Key Points

• In the given options, the most appropriate answer is 'in'
• It is a preposition.
• A preposition is a word or group of words used before a noun or pronoun or noun phrase to show direction, time, place, location, etc.
• Example: He reads in the evening.
• Therefore, as per the points mentioned above, the correct answer is option 1.

The correct answer is "his"

Key Points

• In the given options, the most appropriate answer is 'his'
• It is a pronoun.
• His is the possessive form of he. 
• Example: My computer didn't cost much as his.
• Therefore, as per the points mentioned above, the correct answer is option 2.

The correct answer is "spoke"

Key Points

• In the given options, the most appropriate answer is "spoke"
• The word 'spoke' is the past tense form of the verb 'speak.'
• Example: They spoke English.
• Therefore, the correct answer is option 2.

The correct answer is "had"

Key Points

• In the given options, the most appropriate answer is 'had.'
• The verb 'had' is the past simple and past participle of have, also used with the past participle of other verbs to form the past perfect.
• Example: When I was a child I had a dog.
• ​ Therefore, the correct answer is option 2.

The correct answer is "learnt both"

Key Points

• In the given options, the most appropriate answer is 'learnt both.'
• The verb 'learnt' is the past simple and past participle of 'learn.'
• Therefore, the correct answer is option 3.

The correct answer is FILE

Key Points

• The File tab is the leftmost tab in the ribbon that helps you manage functions like opening, saving, printing, sharing, etc.
• The file tab also allows the users to jump into the backstage view that contains necessary file-related commands. Hence option 2 is correct.
• You can save the worksheet with a standard extension or you have the option to save the worksheet with a different name and different extension.

Additional Information

• The review tab provides tools for spell check, tracking changes, adding and showing comments to the notes, etc.
• This menu provides Restricted editing options that prevent users from modifying or editing the document. This option makes the document read-only.
• The Formula tab provides various predefined formulas of different categories like logical, financial, text, date & time etc.
• The Home tab allows the users to enhance the worksheet's appearance by changing the font style, colour, formatting the cells, alignment etc.

The correct answer is Ctrl + PageDown

Key Points

• Moving between the worksheets reduces the time that you take to scroll through some unnecessary worksheets to get the important worksheet.
• Excel provides a few shortcuts to switch between the sheets.
• ​Ctrl + PageDown shortcut moves to the next worksheet. Hence option 1 is correct.​
• Ctrl + PageUp moves to the previous worksheet.
• You can switch between the sheets by holding Ctrl and scrolling with the mouse.

Additional Information

• Alt + PageUp shortcut moves the worksheet one page to the left.
• Alt + PageDown shortcut moves the worksheet one page to the right.​

The correct answer is Network Interface Card

Key Points

• Ethernet is a communication protocol used for connecting devices in the Local Area Network (LAN) or Wide Area Network (WAN).
• An Ethernet card allows the computer to access the internet through Ethernet cables.
• The Network Interface Card (NIC) or called Network adapter is hardware that lets the computer access the internet.
• An ethernet card also called Network Interface Card, is used to set up a cabled network. Hence option 4 is correct.

Additional Information

• Wi-Fi cards allow the computer to connect to the wireless network.
• Fiber optics are cables that transmit data as light pulses along the fiber.
• These are very fast because of the light pulses and also the data loss is very low.
• A Bluetooth card is a wireless card that allows the computer to receive Bluetooth signals wirelessly to connect different devices.

The correct answer is AutoSum

Key Points

• AutoSum option calculates the aggregate of the numbers of a row or a column in an Excel sheet.
• ​It uses the SUM function to calculate the sum.
• You can also use AutoSum to add the contents of a cluster of adjacent cells. Hence option 3 is correct.
• You can find the AutoSum tool in the Home tab > Editing group > AutoSum.

Additional Information

• A Pivot Table is used to calculate and analyze the data and it displays the comparisons and patterns among the discrete values.
• ​To insert a Pivot table, go to Insert tab > PivotTable.
• AutoFill option lets you fill the data in the cells that follow a particular pattern.
• Charts let the users visually analyze large data through the graphs such as Pie charts, Radar, Line graphs etc.

The correct answer is Ctrl + J

Key Points

• The resources that you download using the browser are stored in the downloads folder.
• To open the downloads window in the Chrome browser, use Ctrl + J shortcut. Hence option 3 is correct.

Additional Information

• Alt + D shortcut selects the URL in the address bar in many browsers.
• Ctrl + H opens the history page in a new tab.
• Ctrl + D bookmark the current page that is opened in the browser.

The correct answer is Ctrl + R

Key Points

• Alignment changes how the values or data in the cells appear and MS Word provides four types of alignment: Right, Left, Center and Justified.
• In Word, the Left alignment is the default alignment.
• You can do it by Selecting the text, and going to the Home tab > Paragraph group.
• To align the text Right, use the shortcut Ctrl + R. Hence option 4 is correct.

Additional Information

• For center alignment, select the text, choose the option from the Paragraph group in the Home tab, or click Ctrl + E shortcut.
• For Left alignment, you can click the Ctrl + L shortcut and for Justify, use Ctrl + J shortcut.
• ​You can also set the rotation clockwise or anti-clockwise, or change the angle and orientation of the text.

The correct answer is Ctrl+K

Key Points

• A hyperlink is a link that if clicked, takes you to another location in the current workbook or opens a document.
• To insert a hyperlink for the cell, click the cell, and go to Insert tab > Link.
• ​Use the Ctrl + K shortcut to open a hyperlink dialog box. Hence option 2 is correct.

​

Additional Information

• If you have a text or a value on any cell, you can paste the same value in the immediate below cell using Ctrl + D shortcut. But you cannot paste it immediately above the cell.
• Ctrl + G opens the Go to the window that lets you focus on a particular cell reference.
• Ctrl + H opens the Find and Replace dialog box that lets you replace a text or a value with another one.

The correct answer is From

Key Points

• When an email is received, it also contains the email address of the sender, date and time, subject and details of the security protocol.
• From field in the email indicates who sent the email. Hence option 2 is correct.

Additional Information

• Inbox is a folder in an email that stores incoming messages in a list. Click each mail to view the content.
• Bcc stands for Blind Carbon Copy.
• Adding someone's email in Bcc makes it hidden.
• It helps you share the email copy securely with someone without the primary recipient knowing it.
• To section in the email refers to whom you want to send the email.

The correct answer is Now()

Key Points

• Excel provides the Now function to display the current date and time in the cell. Hence option 2 is correct.
• Its syntax is NOW() and it takes no arguments.
• For example, =NOW() written in the formula bar returns the current date and time in  MM/DD/YYYY HH: mm format but you can change it.
• NOW()+7 returns the date and time 7 days after the current date.

Additional Information

• Time() functions return the decimal part of a particular time and syntax is TIME(hour, minute, second). All the arguments are required.
• TIMEVALUE() function returns the decimal number of the time represented by a string. 
• ​Its syntax is TIMEVALUE(time_text). Time_text is a string that represents time in a string format (in double quotes), for example, "9:30 AM".
• DATE() returns the serial number of a particular date. Its syntax is DATE(year, month, day).
• ​It takes three different arguments and combines them to form a date.

The correct answer is Shift + F12

Key Points

• If you want to save an open file with a default extension, click the Save option. You can find this option in the File tab > Save.
• You can also save the file using Shift + F12 shortcut. Hence option 1 is correct.

Additional Information

• If you want to save the file in a different format like PDF, CSV or XPS, or if you're going to save the file under a different name, you have to use "Save As".
• To use the Save As option, go to the File tab > Save As or use F12 function key.
• Ctrl + F5 is for reloading the current page.
• Shift + F5 jump the previous edit you have made in the document.
• Ctrl + F12 shortcut opens a document in Word.