SSC GD Constable Previous Year Paper (Held on: 26th November 2021 Shift 2)

The logic followed here is :-

1) BQJM

2) ATGN

3) GSHH

4) DEWK

∴ Here, 'DEWK' is different from other three alternatives.

Hence, the correct answer is "DEWK".

The logic followed here is :-

By using BODMAS RULE :

Option 1) : 27 and 24

• Given equation : 27 + 36 ÷ 9 × 15 – 24 = 57

After interchanging the numbers in given equation the equation is as follows : 

• 24 + 36 ÷ 9 × 15 - 27 = 57
• 24 + 4 × 15 - 27 = 57
• 24 + 60 - 27 = 57
• 84 - 27 = 57
• 57 = 57

LHS = RHS

Option 2) : 27 and 9

• Given equation : 27 + 36 ÷ 9 × 15 – 24 = 57

After interchanging the numbers in given equation the equation is as follows : 

• 9 + 36 ÷ 27 × 15 - 24 = 57
• 9 + 1.33 × 15 - 24 = 57
• 9 + 20 - 24 = 57
• 29 - 24 = 57
• 5 ≠ 57

LHS ≠ RHS

Option 3) : 24 and 9

• Given equation : 27 + 36 ÷ 9 × 15 – 24 = 57

After interchanging the numbers in given equation the equation is as follows : 

• 27 + 36 ÷ 24 × 15 - 9 = 57
• 27 + 1.5 × 15 - 9 = 57
• 27 + 22.5 - 9 = 57
• 49.5 - 9 = 57
• 40.5 ≠ 57

LHS ≠ RHS

Option 3) : 15 and 9

• Given equation : 27 + 36 ÷ 9 × 15 – 24 = 57

After interchanging the numbers in given equation the equation is as follows : 

• 27 + 36 ÷ 15 × 9 - 24 = 57
• 27 + 2.4 × 9 - 24 = 57
• 27 + 21.6 - 24 = 57
• 48.6 - 24 = 57
• 24.6 ≠ 57

LHS ≠ RHS

Hence, the correct answer is "27 and 24".

Given :- TK_TKT_P_K_KPTK_K_TK

By checking options and substituting accordingly.

1) P, T, K, P, T, K → T K P T K - T T P K K - P K P T K - T K K T K

2) P, K, T, T, T, P → T K P T K - T K P T K - T K P T K - T K P T K

• Here "T K P T K" is repeated.

3) P, K, T, P, K, T → T K P T K - T K P T K - P K P T K - K K T T K

4) P, T, T, K, P, T → T K P T K - T T P T K - K K P T K - P K T T K

• Option (2) gives the pattern of :- T K P T K - T K P T K - T K P T K - T K P T K.

Hence, the correct answer is "P, K, T, T, T, P".

The logic followed here is :-

Column 1 : 3, 4, 6

Column 2 : 16, 20, 28

Column 3 : 26, 32, ?

Hence, the correct answer is "44".

The logic followed here is :-

Hence, the correct answer is "240".

The logic followed here is :-

Hence, the correct answer is "546".

Mistake PointsIf we observe between Option 1 and Option 2 carefully in Option 2 the rectangle is at near to right end but in Option 1 rectangle is in middle and same as upper part of diagram.

The figure that complete the given pattern is as shown below :-

Hence, the correct answer is "Option 1"

The least possible Venn diagram for the given statements is as shown below :

Conclusions:

I. No tractor is a car → False (As Some cars are trains and Some trains are tractors so, No tractor is a car is possible)

II. No train is a car → False (As Some cars are trains and Some trains are tractors so, No train is a car is false)

III. Some tractors are cars → False (As Some cars are trains and Some trains are tractors so, Some tractors are cars is possible)

Conclusion I and III form a complimentary pair.

Hence, the correct answer is "Either conclusion I or III follows".

The logic followed here is :-

‘FLOWER’ is written as ‘KQTSAN’.

Similarly,

‘WINDOW’ will be written as :

Hence, the correct answer is "BNSZKS".

The logic followed here is :-

Sum of digits of Second number = First number.

• 15 : 555 → 5 + 5 + 5 = 15
• 17 : 719 → 7 + 1 + 9 = 17

Similarly, 

• ? : 221 → 2 + 2 + 1 = 5

Hence, the correct answer is "5".

The logic followed here is :-

• First letter of word is increased by +2.
• Second letter of word is increased by +3.
• This above logic is repeated for other alphabets alternatively.

LARGE : NDTJG

Similarly,

APPLES : ?

Hence, the correct answer is "CSROGV".

After unfolding the given paper the figure formed is as shown below :-

Hence, the correct answer is "Option 2".

The logic followed here is :-

‘FLORA’ is written as ‘DORII’.

Similarly,

‘MUSIC’ will be written as :

Hence, the correct answer is "FFVRP".

Let us consider total monthly income of Rajan's family = 100%

    ♦ Rajan's family spent monthly income on groceries = 60%

    ♦ Rajan's family spent monthly income on room rent = 12%

    ♦ Rajan's family spent monthly income on medical expenses = 8%

Total expenditure = 60% + 12% + 8%

Total expenditure = 80%

    ♦ Total Income = Total Expenditure + Savings

100% = 80% + Savings

   ♦ Savings = 20% of Rajan's monthly income.

Given amount of savings = 18000/-

∴ 20% = 18000/-

⇒ 1% = 18000/20

⇒ 1% = 900/-

Total monthly income of Rajan's family = 100%

As 1% = 900/- 

⇒ 1% × 100 = 900 × 100

⇒ 100% = 90,000/-

∴ Here, Total monthly income of Rajan's family is 90,000/-.

Hence, the correct answer is "90,000/-".

The image embedded in given figure is as shown below :

Hence, the correct answer is "Option 3".

The least possible Venn diagram from the given representation is as shown below :-

∴ Here, '13' members represents rural honest managers who are NOT females.

Hence, the correct answer is "13".

Family Chart :-

According to the given information:-

1) Atharv is married to Chetna, who is the only sister of Dilip.

2) Gyan is the son of Dilip and Ekta.

3) Neha is married to Mukul and they have two sons, Hardik and Bhavesh.

4) Hardik is unmarried. Anjali is the daughter-in-law of Neha.

So Anjali is married to Bhavesh.

5) Chetna's paternal grandfather is Mukul.

So, Mukul is a male and Neha is a female.

∴ Here, 'Chetna is aunt of Gyan from the family tree'.

Hence, the correct answer is "Aunt".

The arrangement of the given words in the order in which they appear in an English dictionary is as shown below :

The two letters C and E are common in all these words. So we will start from third letter.

1. Censored
2. Centripetal
3. Centurion 
4. Cerebellum
5. Ceremonial

Hence, the correct answer is "1, 3, 5, 2, 4".

The logic followed here is :-

Hence, the correct answer is "SMTQG".

Six friends, G, H I, J, K and L, are sitting around a circular table, facing towards the centre of the table.

1) H is sitting third to the left of G.

2. L and I are not neighbours of H.

Case (i) :

Case (ii) :

3) K is sitting to the immediate right of I.

Here case (ii) gets eliminated.

∴ Here, 'J' is sitting to immediate left of 'L'.

Hence, the correct answer is "J".

Eight friends, P, Q, R, S, T, U, V and W, are sitting clockwise around a circular table in the same sequence, facing the centre, at equal distances between them.

1) If U is facing the north-east direction

2. Eight friends, P, Q, R, S, T, U, V and W, are sitting clockwise around a circular table in the same sequence facing the centre.

∴ Here, 'P' is facing in south direction.

Hence, the correct answer is "P".

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

Detailed Explanation:

• The line PQ is the mirror.
• The word "DOC4UME9NT" ends with 'T'. So the mirror image will start with "T" ⇒ Option 3 and option 4 is eliminated.
• The word "DOC4UME9NT" has last third letter '9'. So the mirror image should be "

" ⇒ Option 1 is eliminated

Hence, the correct answer is "Option 2".

The logic followed here is :-

Lucknow is situated on bank of river 'Gomti'.

Similarly,

Varanasi is situated on bank of river 'Ganga'.

Hence, the correct answer is "Ganga".

Important Points

In first and second dice 4, 6 are common in both dice.

First dice is rotated anti-clockwise in horizontal direction the other adjacent side of 4, 6 is '2'.

As from above dices the opposite side of 5 is '2'.

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

In first dice and second dice.

Numbers 4, 6 are common.

∴ Here, '5' is opposite face showing face '2'.

Hence, the correct answer is "5".

The logic followed here is :-

Sum of opposite alphabet positional values of given word + Number of letters in given word.

‘POEM’ is coded as ‘63’.

Number of letter in word POEM = 4

= (11 + 12 + 22 + 14) + 4

= 59 + 4

= 63.

Similarly,

‘FILE’ will be coded as :

Number of letters of word FILE = 4

= (21 + 18 + 15 + 22) + 4

= 76 + 4

= 80.

Hence, the correct answer is "80".

The correct answer is  Khan Abdul Ghaffar Khan.

Key Points

• Khan Abdul Ghaffar Khan was the founder of Khudai Khidmatgar, a predominantly Pashtun nonviolent resistance movement known for its activism against the British Raj in colonial India.
• He formed the Khudai Khidmatgar party on the eve of the Qissa Khwani Bazaar Massacre in March 1930.
• Khan Abdul Ghaffar Khan founded several reform movements prior to the formation of the Khudai Khidmatgar, the Anjuman-e Islah ul-Afghan in 1921, the farmers' organization Anjuman-e Zamidaran in 1927, and the youth movement Pashtun Jirga in 1927.
• Khudai Khidmatgar is a predominantly Pashtun nonviolent resistance movement known for its activism against the British Raj in colonial India.
• In June 1947, the Khudai Khidmatgars declared the Bannu Resolution, demanding that the Pashtuns be given a choice to have an independent state of Pashtunistan, composing all Pashtun territories of British India, instead of being made to join Pakistan.

Additional Information

• Lala Lajpat Rai:
• He was born in Punjab. Also known by ‘Punjab Kesari’.
• He was influenced by Swami Dayananda Saraswati and joined the Arya Samaj in Lahore.
• Along with Bipin Chandra Pal and Bal Gangadhar Tilak, he formed the Lal-Bal-Pal trio of extremist leaders.
• Fought against untouchability.
• Founded the Servants of People Society in 1921.
• Bal Gangadhar Tilak raised the slogan, “Swaraj is my birthright and I shall have it!”.
• The word Swarajya was first coined by Bal Gangadhar Tilak.
• Bal Gangadhar Tilak was also known as Lokmanya Tilak.
• He established a prominent organization Deccan Education Society to promote modern learning.
• He also established Fergusson College at Pune.
• Subhash Chandra Bose:
• He founded the Independence for India League with Jawaharlal Nehru.
• He was elected as the President of INC at its Haripura Session (1938) and Tripuri Session (1939) but resigned from Tripuri due to differences with Mahatma Gandhi.
• He took the charge of the Indian Army (Azad Hind Fauj) in 1943 in Singapore and set up an Indian Provisional government there.
• Subhash Chandra Bose was the one who addressed Mahatma Gandhi as the Father of the Nation.

The correct answer is Ministry of Agriculture and Farmers Welfare.

Key Points

• Ministry of Agriculture and Farmers Welfare declares the Minimum Support Price (MSP) for the crops.
• Minimum Support Price (MSP) is market intervention by the Government of India to insure agricultural producers against any sharp fall in farm prices.
• Government announces minimum support prices (MSPs) for 22 mandated crops and fair and remunerative prices (FRP) for sugarcane.
• The mandated crops are 14 crops of the Kharif season, 6 rabi crops, and two other commercial crops.
• Announced on the basis of the recommendations of the Commission for Agricultural Costs and Prices (CACP).
• CACP is a decentralized agency and the advisory body to the Ministry of Agriculture & Farmers Welfare of the Government of India.

Additional Information

• The Ministry of Agriculture & Farmers Welfare, formerly the Ministry of Agriculture, is a branch of the Government of India and the apex body for formulation and administration of the rules and regulations and laws related to agriculture in India.
• Headquarters: New Delhi
• Jurisdiction: India
• Officeholders: Parshottam Rupala (Minister of State).

The correct answer is Burning.

Key Points

• Sustainable method of waste management:
• Recycling
• Recycling refers to both the direct reuse of used products (e.g. used clothing and functioning parts removed from used vehicles) and material recycling, that is the recovery of raw materials from waste.
• Incineration
• Combustible waste from households and waste wood that is not suitable for recycling undergo thermal treatment in waste incineration plants or waste wood furnaces.
• The heat released in the process is used to generate electricity and heat buildings.
• Chemical-physical and biological treatment
• The objective of both chemical-physical and biological treatment is to enable the removal of pollutants from waste or its safe landfilling. Wastewater and polluted excavated material are typical of the types of waste that are managed in this way.
• Landfills
• Residues from waste incineration or waste that is not suitable for material recycling or thermal treatment are deposited in landfills that are compliant with the legal requirements.
• Collection and logistics
• The waste management sector involves many different specialised actors.
• Their tasks include the collection of waste at source (industry, commerce and households) in suitable transport containers, its intermediate storage and handover to waste disposal operations.
• Hence Burning is NOT a sustainable method of waste management.

The correct answer is Quarantine.

Key Points

• "Quarantine" has been named the 2020 Word of the Year by the Cambridge Dictionary.
• Cambridge Dictionary's data shows it was one of the most highly searched words on its website this year.
• "Quarantine" was closely followed by "lockdown" and "pandemic" on the shortlist for Word of the Year.
• Earlier in Nov 2020, Collins Dictionary said "lockdown" was its Word of The Year in 2020.

Additional Information

• Merriam-Webster has announced “pandemic" as its 2020 word of the year.

The correct answer is 8.

Key Points

• 8 beaches of India have been awarded the 'Blue Flag Certification'.
• Blue Flag’ certification is a certification that is given to a beach, marina, or sustainable boating tourism operator.
• It also serves as an eco-label.
• The certification indicates their high environmental and quality standards.
• It is awarded by the Foundation for Environmental Education, an NGO based in Denmark.
• It puts strict environmental, educational, safety-related & access-related parameters that applicants must achieve and maintain.
• It was instituted in France in 1985 and for nations out of Europe in 2001.

Additional Information

• 10 Indian beaches have been awarded the prestigious ‘Blue Flag’ certification by an international jury comprising members of the following organisations:(Oct 2022)

The correct answer is They neither produce flowers or seeds.

Key Points

• Pteridophyta 
• The plant body is differentiated into roots, stems, and leaves, apart from having a specialized tissue for conduction.
• ​The plant body is differentiated into roots, stems, and leaves
• It has specialized tissue for the conduction of water and other substances from one part of the plant body to another.
• Some examples are Marsilea, ferns, and horsetails.
• They produce neither flowers nor seeds. That is why they are sometimes referred to as "cryptogams" (hidden reproductive organs)

Additional Information

• The Life cycle of Pteridophytes:
• In pteridophytes, the main plant body is a sporophyte i.e diploid which is differentiated into true root, stem, and leaves
• These organs possess well-differentiated vascular tissues.
• The leaves in Pteridophyta are small (microphylls) as in Selaginella or large (macrophylls) as in ferns.
• The sporophytes bear sporangia that are subtended by leaf-like appendages called sporophylls.
• The sporangia produce spores by meiosis in spore mother cells.
• The spores germinate to give rise to inconspicuous, small but multicellular, free-living, mostly photosynthetic thalloid gametophytes called prothallus.
• The gametophytes bear male and female sex organs called antheridia and archegonia, respectively.
• Water is required for the transfer of antherozoids – the male gametes released from the antheridia to the mouth of the archegonium.
• Fusion of male gamete with the egg present in the archegonium results in the formation of zygote.
• Zygote thereafter produces a multicellular well-differentiated sporophyte which is the dominant phase of the pteridophytes.

The correct answer is 1950-51.

Key Points

• The first Economic Survey of India was presented in 1950–51.
• Economic Survey is a report of the government on the state of the economy of the country during the last one year.
• It is prepared by the Department of Economic Affairs, under the Ministry of Finance.
• Chief Economic Advisor releases the Economic Survey.

Additional Information

• At first, it was released along with the Union Budget but later it was separated from the budget in 1964 to give a better understanding of the budget proposals.
• It is released one day before the Union Budget.
• Now it is presented in 2 volumes.
• It has no constitutional backing. Its findings and suggestions are not binding on the government.
• First Chief Economic Advisor to the government was Mr. J.J. Anjaria.
• The current Chief Economic Advisor is Krishnamurthy Subramanian.

The correct answer is Thomas Alva Edison.

Key Points

• Thomas Alva Edison was an American inventor and businessman, who has been described as America's greatest inventor.
• He developed many devices that greatly influenced life around the world, including the phonograph, the motion picture camera, and the long-lasting, practical electric light bulb.

Additional Information

• Albert Einstein was a German-born theoretical physicist, widely acknowledged to be one of the greatest and most influential physicists of all time. Einstein is best known for developing the theory of relativity.
• Sir Isaac Newton was an English mathematician, physicist, astronomer, alchemist, theologian, and author, widely recognised as one of the greatest mathematicians and physicists of all time and among the most influential scientists.
• Alexander Graham Bell was a Scottish-born inventor, scientist and engineer who is credited with patenting the first practical telephone.

The correct answer is He was 18 years old when he ascended the throne.

Key Points

• Babur, the first Mughal emperor (1526- 1530), succeeded to the throne of Ferghana in 1494 when he was only 12 years old.
• Hence statement 3 is incorrect.
• He was forced to leave his ancestral throne due to the invasion of another Mongol group, the Uzbegs.
• After years of wandering he seized Kabul in 1504.
• In 1526 he defeated the Sultan of Delhi, Ibrahim Lodi, at Panipat and captured Delhi and Agra.

Additional Information

• Babur:
• He is the founder of the Mughal Empire.
• He fought the first Battle of Panipat in 1526 with Ibrahim Lodhi and laid the foundation of the Mughal Empire.
• His autobiography Tuzuk-i-Babri was written in the Turkish Language.
• In 1527 his general Mir Baki built Babri Maszid.
• He died in 1530.
• Humayun:
• He was the son of Babur.
• He was a mathematician and astronomer.
• His autobiography Humayunama was written by his sister Gulbadan Begum.
• Akbar:
• He was born in 1542 at Amarkot.
• He fought the second battle of Panipat in 1556 with Hemu and he defeated Hemu.
• He abolished the religious tax Jizya.
• He founded a new religion "Din-i- illahi".
• His autobiography was written by Abul Fazal " Ain-i-Akbari".
• Jahangir:
• His childhood name was Salim.
• He executed the fifth guru of Sikh Arjun Dev.
• His period was the golden age of painting.
• Shah Jahan
• His period was the golden age of architecture.
• He built the Taj Mahal in memory of his wife Mumtaz Mahal.
• Aurangzeb:
• He was an accomplished Veena Player.
• He executed the 9^th Sikh Guru Tej Bahadur.
• He adopted the name of Alamgir.
• He abolished the Persian Festival "Navroj".
• Bahadur Shah
• He was the last ruler of the Mughal Empire.
• He led the Delhi in 1857 revolt.

The correct answer is Muscat.

Key Points

• The IPL 2020 is slated to be played from September 19-November 10 in the UAE across three venues:
• Dubai,
• Abu Dhabi, and
• Sharjah.
• Mumbai Indians won the Indian Premier League (IPL), in 2020.
• The final match was played between Mumbai Indians and Delhi Capitals.

Additional Information

• ​IPL 2020 was the 13^th edition of India's premier T20 league.
• Indian Premier League was conceptualized after India's landmark victory in the maiden ICC WT20 in 2007.
• The league came into existence in 2008 with 8 franchises.
• IPL has been a great platform for young talent to showcase their skills and rub shoulders with the best players in the world.

The correct answer is Radical group.

Key Points

• Lala Lajpat Rai, a nationalist from Punjab, was a member of the Radical group.
• Lala Lajpat Rai, Bal Gangadhar Tilak, and Bipin Chandra Pal were the three important leaders of the Radical Nationalists group.
• The Radical Reform Organization was a lobbying group inside the Liberal Party that was founded in 1952 to promote social liberalism and Keynesian economics.

Additional Information

• Lala Lajpat Rai
• He founded the National School at Lahore.
• He presided over the AITUC in 1920 AD.
• He boycotted the Simon Commission and demonstrated against it at Lahore, during which he was brutally assaulted by the police and he subsequently succumbed to his injuries.
• He was called the Sher-e-Punjab (Lion of Punjab).
• He was inspired by Mahatma Hansraj.
• He was the President of the special session of the Congress at Calcutta, 1920 AD.
• He opposed the withdrawal of the Non-Cooperation Movement in 1922 AD.
• He founded Swaraj Party with Motilal Nehru and C.R. Das.
• He was the editor of Bande Matram, Punjab and The People.

The correct answer is Siddhartha Mukherjee.

Key Points

• Siddhartha Mukherjee was one of the Indian winners of the Great Immigrants of the Year 2020 award given by the US.
• Indian American Pulitzer Prize-winning physician author, Siddhartha Mukherjee and Harvard economist Raj Chetty, among 38 US citizens in Carnegie Corporation of New York's 2020 list of 'great immigrants' for their role in combating the COVID-19 pandemic.
• Siddhartha Mukherjee has been honoured for using "his communication skills to educate the public and create awareness about COVID-19 through forums and his widely read essays".
• He won the Pulitzer Prize in 2011 for his book 'The Emperor of All Maladies: A Biography of Cancer'.
• He received Padma Shri in 2014.

Additional Information

• Great Immigrants: The Pride of America
• ​Every Fourth of July since 2006, Carnegie Corporation of New York has celebrated the exemplary contributions of immigrants to American life.
• The Great Immigrants initiative is a tribute to the legacy of Andrew Carnegie, a Scottish immigrant who rose from poverty to become a leading industrialist.
• Carnegie founded more than 20 philanthropic organizations, including the Corporation, a grantmaking foundation established in 1911 to advance the causes of democracy, education, and international peace.

The correct answer is 'Hand of God' goal.

Key Points

• Diego Maradona, the Argentine soccer player who passed away on 25 Nov 2020, is fondly remembered for one memorable goal known as 'Hand of God' goal.
• He was known for the "Hand of God" goal in which, during the 1986 World Cup quarterfinals, he punched the ball into England's net.
• Diego Armando Maradona was born on 30 October 1960.
• He was an Argentine professional football player and manager.
• He was one of the two joint winners of the FIFA Player of the 20^th Century award.
• He was also called "El Pibe de Oro" ("The Golden Boy").

Additional Information

• About Football
• Football is the world’s most popular ball game in terms of the number of participants and spectators.
• Football, also called Association Football or Soccer, is a game in which two teams of 11 players, using any part of their bodies except their hands and arms, try to manoeuvre the ball into the opposing team’s goal.
• Only the goalkeeper is permitted to handle the ball and may do so only within the penalty area surrounding the goal.

The correct answer is Odisha.

Key Points

• The Similipal Biosphere Reserve is located in the Mayurbhanj district of Odisha.
• With a reserve forest area of over 2750 sq km, Similipal Wildlife Sanctuary is one of the biggest in the country.
• Housing a variety of wild animals, including Royal Bengal Tigers, 304 species of birds and plants, the sanctuary is extremely rich in biodiversity.
• The core area of Similipal Tiger Reserve extends up to 1194 sq km and the buffer area measures 1555 sq km.

Additional Information

The correct answer is Foreign Policy of India.

Key Points

• The theory of Panchsheel/Concept of Panchsheel was given by Pt. Jawahar Lal Nehru.
• The Panchsheel Agreement is also known as the Five Principles of Coexistence.
• It contains a set of principles to govern relations between states.
• The Panchseel agreement was signed between Prime Minister Jawaharlal Nehru and China's first Premier Zhou Enlai.
• The principles were first codified during an agreement between India and China in 1954.
• The principles were emphasized by Pt. Jawahar Lal Nehru in a speech at the Asian Prime Ministers conference at Columbo.

Additional Information

• The five principles of the agreement are 
• mutual respect for each other's territorial integrity and sovereignty,
• mutual non-aggression,
• non-interference in other's internal affairs,
• equality, peace, and
• mutual benefit.
• It was presented by India, Yugoslavia, and Sweden at the United Nations General Assembly on 11 December 1957.

The correct answer is Andaman Nicobar.

Key Points

• ‘Dugong’ as the state animal of Andaman Nicobar.
• Dugongs are mammals, which means they give birth to live young and then produce milk and nurse them.
• It is the flagship animal of Gulf of Mannar Marine National Park.
• Once the female is pregnant, she will carry the unborn baby, called a foetus for 12-14 months before giving birth.

Additional Information

The list of all Indian States and their State Animals:

The correct answer is Punjab.

Key Points

• Union Minister of Youth Affairs and Sports Shri Kiren Rijiju virtually inaugurated Sports Authority of India’s (SAI) new Regional Centre in Zirakpur, Punjab, which will now act as one of the main SAI centres for the northern belt of India.
• It is 11^th Regional Centre of the Sports Authority of India.
• The Zirakpur Regional Centre’s administrative block has been built by the Central Public Works Department (CPWD)

Additional Information

10 SAI Regional Centres (SRC)s

• SAI Netaji Subhas Regional Centre, Chandigarh
• SAI Chaudhary Devi Lal Northern Regional Centre, Sonepat, Haryana
• SAI Netaji Subhas Regional Centre, Lucknow, Uttar Pradesh
• SAI Netaji Subhas North-East Regional Centre, Guwahati, Assam
• SAI Netaji Subhas North-East Regional Centre, Imphal, Manipur
• SAI Netaji Subhas Eastern Centre, Kolkata, West Bengal
• SAI Udhav Das Mehta Bhaiji Central Centre, Bhopal, Madhya Pradesh
• SAI Netaji Subhas Southern Centre, Bengaluru, Karnataka
• SAI Regional Centre, Mumbai, Maharashtra
• SAI Netaji Subhas Western Centre, Gandhinagar, Gujarat

The correct answer is President.

Key Points

• Every bill after being passed by the houses of parliament, either singly or in a joint sitting, is presented to the President for his assent.
• Legislative Powers of President:
• He summons or prorogues Parliament and dissolve the Lok Sabha.
• He summons a joint sitting of Lok Sabha and Rajya Sabha in case of deadlock.
• He addresses the Indian Parliament at the commencement of the first session after every general election.
• He appoints a speaker, deputy speaker of Lok Sabha, and chairman/deputy chairman of Rajya Sabha when the seats fall vacant.

Additional Information

• Executive Powers:
• As the Executive Head of the State, the President enjoys many executive powers.
• All the actions and decisions of the Government are taken in the name of the President.
• He appoints the attorney general of India and determines his remuneration.
• He appoints the following people:
• Comptroller and Auditor General of India (CAG)
• Chief Election Commissioner and other Election Commissioners
• Chairman and members of the Union Public Service Commission
• State Governors
• Finance Commission of India chairman and members

The correct answer is Repo rate.

Key Points

• Monetary Policy has Direct Instruments and Indirect Instruments.
• Direct Instruments 
• CRR, SLR, and Refinance facilities.
• Indirect Instruments 
• LAF, OMO, MSF, and Repo/Reverse Rate.
• Repo rate 
• It is the rate at which the RBI lends money to the commercial banks for a short term period with a repurchase agreement.
• RBI buys securities from the banks and thereby provides funds.

Additional Information

• CRR (Cash Reserve Ratio) 
• It is the share of NDTL (net demand and time liabilities) that banks must maintain in the form of cash with the RBI.
• LAF (Liquidity Adjustment Facility) -
• It is the tool used by the RBI that allows banks to borrow money through repo agreements or for banks to make loans to the RBI through reverse repo agreements.
• It consists of daily infusion or absorption of liquidity using government securities as collateral.
• OMO (Open Market Operations)
• Outright sale/purchase of government securities takes place in the open market so as to infuse or absorb the liquidity.
• This tool helps to determine the level of liquidity over the medium term.

The correct answer is Zaid.

Key Points 

• Watermelon, muskmelon, Cucumber is an example of zaid crop.
• Crops that are being raised throughout the year due to artificial irrigation are Zaid crops.
• Zaid Kharif: Sown in August-September and harvested in December-January. Important crops include rice, jowar, rapeseed, cotton and oilseeds.
• Zaid Rabi: Sown in February – March and harvested in April -May. Important crops are watermelon, cucumber, leafy and other vegetables.

Additional Information 

• Kharif crops
• Crops are sown at the beginning of the southwest monsoon and harvested at the end of the South -West monsoon.
• Sown in June-July when rains first begin.
• Harvested in September-October.
• Requires a lot of water and hot weather to grow.
• Important kharif crops: Jowar, bajra, rice, maize, cotton, Jute, groundnut, sugarcane, tobacco, etc.
• Rabi crops
• Crops need a relatively cool climate during the period of growth but a warm climate during the germination of their seed and maturation.
• Sown in October-November.
• Harvested in April-May.
• Important Rabi Crops: Wheat, barley, gram, linseed, mustard, Masur, peas, and potatoes.

The correct answer is Bull Strike.

Key Points

• A special tri-Service combat exercise called “Bull Strike” was conducted by the Andaman and Nicobar Command (ANC).
• The high-voltage exercise, with assets and manpower from the Army, Navy and IAF as well as Para-SF and marine commandos, was conducted from November 3 to 5, 2020.
• The combat manoeuvres included combat free-fall and para-drop from C-130J “Super Hercules” strategic airlift aircraft.

Additional Information

• Andaman and Nicobar Islands were formed due to the collision between the Indian Plate and Burma Minor Plate [part of Eurasian Plate][Similar to the formation of the Himalayas].
• Andaman and Nicobar Islands are a southward extension of the Arakan Yoma range [Myanmar][Arakan Yoma in itself is an extension of Purvanchal Hills].
• This archipelago is composed of 265 big and small islands [203 Andaman islands + 62 Nicobar Islands]

The correct answer is high temperature, high humidity and rainfall.

Key Points

• Rice crop needs a hot and humid climate.
• It is best suited to regions which have high humidity, prolonged sunshine and an assured supply of water.
• The average temperature required throughout the life period of the crop ranges from 21 to 37°C.
• Fertile riverine alluvial soil is best for rice cultivation.

Additional Information

• Rice is a staple food for the overwhelming majority of population in India.
• Though, it is considered to be a crop of tropical humid areas,
• It has about 3,000 varieties which are grown in different agro-climatic regions.
• In southern states and West Bengal the climatic conditions allow the cultivation of two or three crops of rice in an agricultural year.
• But in Himalayas and northwestern parts of the country, it is grown as a kharif crop during southwest Monsoon season.
• India contributes 22.07 per cent of rice production in the world and ranked second after China in 2018.
• West Bengal, Uttar Pradesh, and Punjab are the leading rice producing states in the country.

The correct answer is Lord Shiva.

Key Points 

• The Shiva temple known as Rajarajeshwara is situated near Taliparamba in Kerala's Kannur district.
• The temple is one of the 108 old Shiva temples that still stand in ancient Kerala.
• It occupies a prominent position among South India's numerous Shiva temples.
• Among the temples of the era, it had the tallest shikhara.
• The top of the Rajarajeshwara temple weighs roughly 90 tonnes.

Additional Information 

• The Hindu god Shiva has a temple named after him called the Rajarajeshvara temple.
• The temple, which was built during the Chola era under Rajaraja and is situated in Thanjavur in the south Indian state of Tamil Nadu, is well-known for its exquisite structure.
• As per Tamil Nadu Hindu Endowments Board, there are 38,615 temples.
• Most of the largest Hindu temples reside here.
• Studded with complex architecture, a variety of sculptures, and rich inscriptions, the temples remain the very essence of the culture and heritage of Tamil land with historical records dating back to at least 3,000 years.
• Ex:- Karpaka Vinayakar Temple, Ucchi Pillayar Temple, Manakula Vinayagar Temple, Manimoortheeswaram Temple, Sri Poyyamozhi Vinayagar Temple etc.

The correct answer is Gitagovinda - Jayadeva.

Key Points

• Gitagovindam 
• Jayadev is a Sanskrit poet who has attained immortal reputation through a single work.
• He lived in the twelfth century and was the court-poet of Lakshmanasena.
• His Gitagovindam finds no parallel in world literature, it has a place of pride in the Odissi dance repertoire.
• Hence it is correctly matched.

Additional Information

• Rajatarangini:
• It is an epic poem that was written in Sanskrit by Kalhana in the year 1148.
• It has nearly 8000 verses that are spread over eight books.
• The book is an account of the many royal dynasties that ruled the ancient kingdom of Kashmir.
• Vikramankadevacharita:
• It was written by Bilhana in honour of Vikramaditya VI.
• The book is written in Sanskrit.
• Prithviraj Raso -
• The " Prithviraj Raso" is a Braj Bhasha poem.
• The poem is about the 12^th-century Indian Rajput king Prithviraj Chauhan.
• The poem is written by Chand Bardai.

The correct answer is Manipur.

Key Points

• Manipuri Dance is also known as Jagoi and is one of the major Indian classical dance forms.
• The ethnic majority of Meitei people call dance Jagoi and the traditional 'Lai Haraoba' festival is observed in the honor of Sylvan deities.
• The musical instrument used in this art form includes the Pung which is a barrel drum, harmonium, flute, Ppna, and stem bong.
• The language of text songs of Manipuri dance lyrics is varied including Sanskrit, Brij Bhasa, and Maithali.

Additional Information 

• There are eight classical dances in India:
• Bharatanatyam: Tamil Nadu
• Mohiniyattam: Kerala
• Kathakali: Kerala
• Kathak: North India (Uttar Pradesh)
• Kuchipudi: Andhra Pradesh
• Sattriya: Assam
• Odissi: Odisha
• Manipuri: Manipur

Given:

A person walking at a speed of 7.2 km/h and crosses a bridge in 25 minutes.

Concept used:

1m/s = 18/5 km/h

Time × Speed = Distance

1 minute = 60 seconds

Calculation:

7.2 km/h = 7.2 ÷ 18/5 = 2 metres per second (m/s)

25 minutes = 25 × 60 = 1500 seconds 

Now, the length of the bridge = 2 × 1500 = 3000 metres

∴ The length of the bridge is 3000 metres.

Given:

152 is divided into three parts such that one-fifth of the first part, one-third of the second part and one-eleventh of the third part are equal. 

Calculation:

Let the three parts of 152 be P, Q, and R.

According to the question,

P/5 = Q/3 = R/11

⇒ P/5 = Q/3 = R/11 = K (let)

So, P = 5K, Q = 3K and R = 11K

Now,

5K + 3K + 11K = 152

⇒ 19K = 152

⇒ K = 152/19

⇒ K = 8

Sum of the second and the third part = P + Q

⇒ 3K + 11K

⇒ 14 × 8 = 112

∴ The sum of the second and the third part is 112.

Given:

A certain sum of money amounts to Rs. 12,144 at simple interest in 4 years and to Rs. 13,984 in 6$\frac{1}{2}$ years.

Concept used:

Simple Interest, SI = (P × R × T)/100

Amount = P + SI

where

P = Principal amount

R = Rate of interest per year

Calculation:

Interest incurred in (6.5 - 4) i.e. 2.5 years,

= 13984 - 12144 = Rs. 1840

Interest per year = 1840/2.5 = Rs. 736

Interest in 4 years = 4 × 736 = Rs. 2944

Principal amount = 12144 - 2944 = Rs. 9200

Let the rate of interest be R% per annum.

According to the concept,

(9200 × R × 4)/100 = 2944

⇒ R = 294400/(9200 × 4)

⇒ R = 8

∴ The rate of interest is 8% per annum.

Given:

24, 40 and 48

Concept used:

LCM is the smallest common multiple of two or more numbers.

Calculation:

LCM (24, 40, 48) = 240

Greatest four-digit number = 9999

Quotient when 9999 is divided by 240 = 9999/240 = 41.6625

Now, The greatest four-digit number which is divisible by 24, 40, and 48 = 41 × 240

⇒ 9840

∴ The greatest four-digit number which is divisible by 24, 40, and 48 is 9840.

Given:

From a basket full of eggs, 20% of the eggs broke, 8% were rotten and 24% were kept aside for baking a cake.

The remaining 12 eggs were consumed by some people.

Shortcut Trick Here, 20% + 8% + 24% = 52%

Now, 100% - 52% = 48% 

It means, 48% = 12 

⇒ 1% = 12/48 = 1/4

⇒ 100% = 100/4 = 25

∴ 25 eggs were there in the basket initially.

Alternate MethodCalculation:

Let there be 100m eggs in the first place.

Number of broken eggs = 100m × 20% = 20m

Number of rotten eggs = 100m × 8% = 8m

Number of eggs kept aside = 100m × 24% = 24m

According to the question,

20m + 8m + 24m + 12 = 100m

⇒ 100m - 24m - 8m - 20m =  12

⇒ 48m = 12

⇒ m = 12/48

⇒ m = 0.25

Now, the number of egg in the first place = 100 × 0.25 = 25

∴ 25 eggs were there in the basket initially.

Given:

Third proportional to 18, 12.

Concept used:

If A : B :: C : D then (B × C) = (A × D)

Calculation:

Let the third proportional be m.

So, the proportion = 18 : 12 :: 12 : m

According to the concept,

18 × m = 12 × 12

⇒ 18 × m = 144

⇒ m = 144/18

⇒ m = 8

∴ The third proportion is 8.

Given:

The average of 48 numbers is 48.

It was found later that observation 48 was wrongly taken as 84 at two places. 

Concept used:

Total = Average × Number of entities

Calculation:

Sum of 48 numbers when taken wrongly = 48 × 48 = 2304

Sum of 48 numbers when taken correctly = 2304 - 84 × 2 + 48 × 2

⇒ 2232

Now, the correct average of 48 numbers = 2232/48 = 46.5

∴ The correct average is 46.5.

Given:

\frac{{9 \div \left{ {5 - 5 \div \left( {6 - 7} \right) \times 8 + 9} \right}}}{{4 + 4 \times 4 \div 4;of;4}}

Concept used:

Calculation:

\frac{{9 \div \left{ {5 - 5 \div \left( {6 - 7} \right) \times 8 + 9} \right}}}{{4 + 4 \times 4 \div 4;of;4}}

⇒ \frac{{9 \div \left{ {5 - 5 \div \left( {6 - 7} \right) \times 8 + 9} \right}}}{{4 + 4 \times 4 \div 16}}

⇒ \frac{{9 \div \left{ {5 - 5 \div \left( -1 \right) \times 8 + 9} \right}}}{{4 + 4 \times 4 \div 16}}

⇒ \frac{{9 \div \left{ {5 - \left( -5 \right) \times 8 + 9} \right}}}{{4 + 4 \times 0.25}}

⇒ \frac{{9 \div \left{ {5 + 40 + 9} \right}}}{{4 + 4 \times 0.25}}

⇒ \frac{{9 \div \left{ 54 \right}}}{{4 + 1}}

⇒ $\frac{1 \over 6} {5}$

⇒ $\frac {1}{30}$

∴ The simplified value is $\frac {1}{30}$.

Shortcut Trick

Pipe A fills in 10 hr, Pipe B empties in 30 hr (2/3 in 20 hr ⇒ full in 30 hr).

Combined (A+B+C) fills in 40 hr. Let total capacity = 120 units (LCM of 10, 30, 40).

Efficiencies: A = +12, B = −4, (A+B+C) = +3.

C efficiency: 12 − 4 − C = 3 ⇒ C = 5 units (emptying).

Time for C to empty 2/3 tank (80 units): 80 ÷ 5 = 16 hr.

∴ The correct answer is 16 hr.

Alternate Method

Given: Filling Pipe A = 10 hr, Emptying Pipe B (2/3 part) = 20 hr, Combined (A+B+C) = 40 hr.

Formula Used: Total Work = Time × Efficiency; Efficiency of emptying pipe is negative.

⇒ Time for Pipe B to empty full tank = 20 × (3/2) = 30 hr.

⇒ Let the Total Capacity of the tank be the LCM of 10, 30, and 40 = 120 units.

⇒ Total Efficiency (A + B + C) = Eff_A + Eff_B + Eff_C

⇒ 3 = 12 − 4 + Eff_C

⇒ 3 = 8 + Eff_C

⇒ Eff_C = 3 − 8 = −5 (Negative sign indicates emptying pipe)

⇒ 2/3 part of the tank capacity = (2/3) × 120 = 80 units.

⇒ Time taken by Pipe C alone = 80 ÷ 5 = 16 hr.

∴ The correct answer is 16 hr.

Additional Information

Pipes and Cisterns Convention

Inflow pipes that fill the tank are taken as positive (+) work, while outflow or leak pipes that empty the tank are taken as negative (−) work.

Total Capacity via LCM

The total capacity of a tank is usually assumed to be the Lowest Common Multiple (LCM) of the individual times taken by the pipes to fill or empty it.

Net Rate Formula

If pipe A fills in x hr and pipe B empties in y hr, the net part filled in 1 hr is (1/x − 1/y). If the result is negative, the tank is being emptied.

Given:

The incomes of A and B are in the ratio 5 ∶ 7.

The expenditure of A is equal to the savings of B.

The total expenditure of A and B is Rs. 15,750.

Concept used:

Income = Expenditure + Savings

Calculation:

Let the incomes of A and B be 5p and 7p respectively and A's expenditure be m.

B's expenditure = (15750 - m)

B's savings = m

A's savings = 5p - m

Total savings of them = 5p - m + m = 5p

According to the question,

7p - (15750 - m) = m

⇒ 7p - 15750 + m = m

⇒ 7p = 15750

⇒ p = 15750/7

⇒ p = 2250

Now, their total savings = 5 × 2250

⇒ Rs. 11,250

∴ Their total savings is Rs. 11,250.

Given:

A trader earns a profit of 30% by selling an article X and loses 16% by selling another article Y.

The ratio of the cost prices of X and Y is 3 ∶ 4.

Concept used:

Profit% = ${Profit \over Cost\ Price} \times 100\%$

Selling Price = Cost Price - Cost Price × Loss%

Selling Price = Cost Price + Cost Price × Gain%

Calculation:

Let the cost price of X and Y be Rs. 300 and Rs. 400.

Total cost price = 300 + 400 = Rs. 700

Selling price of X = 300 + 300 × 30% = Rs. 390

Selling price of Y = 400 - 400 × 16% = Rs. 336

Total selling price = 390 + 336 = Rs. 726

Gain made = 726 - 700 = Rs. 26

Now, gain% in the entire transaction = ${26 \over 700} \times 100\%$ ≈ 3.7%

∴ The gain in the entire transaction is 3.7%.

Given:

The marked price of an item is Rs. 800.

The shopkeeper offers two discounts, one of 10% and another of 5% on the item.

Concept used:

Successive discounts of A% and B% = $(A + B - {AB \over 100})\%$

Selling price = Marked Price - Marked Price × Discount%

Calculation:

Final discount percentage = $(10 + 5 - {10 × 5 \over 100})\%$ = 14.5%

Now, the selling price of the item = 800 - 800 × 14.5%

⇒ 800 - 116

⇒ Rs. 684

∴ The selling price of the item is Rs. 684.

Shortcut Trick

Work balance: Work lost by 6 persons in remaining days = Work compensated by 9 persons in extra days.

Let 6 persons leave after x days. They would have worked for (42 − x) more days.

Extra days taken by remaining 9 persons = 54 − 42 = 12 days.

6 × (42 − x) = 9 × 12

42 − x = 18 ⇒ x = 42 − 18 = 24 days.

∴ The correct answer is 24 days.

Alternate Method

Given:

Initial Persons (M₁) = 15 | Planned Days (D₁) = 42

Persons leaving = 6 | Remaining Persons (M₂) = 15 − 6 = 9

Actual Total Days = 54

Formula Used:

Total Work = M₁ × D₁

Total Work = (Persons₁ × Time₁) + (Persons₂ × Time₂)

Calculations:

⇒ Total Work = 15 × 42 = 630 units

⇒ Let the 6 persons leave after x days.

⇒ Work done in x days by 15 persons = 15 × x

⇒ Remaining days = 54 − x

⇒ Work done in remaining days by 9 persons = 9 × (54 − x)

⇒ 630 = 15x + 9(54 − x)

⇒ 630 = 15x + 486 − 9x

⇒ 630 − 486 = 6x

⇒ 144 = 6x

⇒ x = 144 ÷ 6 = 24 days

∴ The correct answer is 24 days.

Additional Information

Chain Rule (Man-Days Concept)

The total work is directly proportional to the number of men and the number of days: W = M × D × H × E (where H is hours and E is efficiency).

Inverse Relationship

For a constant amount of work, the number of persons is inversely proportional to the time taken: M₁D₁ = M₂D₂.

Efficiency of Group

When members leave or join, the rate of work changes. Total work remains the sum of partial work done in different intervals.

Given:

The amount obtained by investing a sum of Rs. 15,000 at 8% p.a. in a certain time is Rs. 17,496, interest compounded annually. 

Concept used:

In case of the compound interest,

Amount = P(1 + R/100)^N

CI = P(1 + R/100)^N - P

where

P = Principal amount

R = Rate of interest per year

N = Time in years

Calculation:

Let the money be invested for N years.

According to the question,

15000(1 + 8/100)^N = 17496

⇒ 1.08^N = 17496/15000

⇒ 1.08N = 1.1664

⇒ 1.08N = 1.082

⇒ N = 2

2 years = 24 months

When interest compounded 8-monthly, N = 24/8 = 3

When interest compounded 8-monthly, rate of interest = 15 × 8/12 = 10%

Now, the amount will be

⇒ 15000(1 + 10/100)³

⇒ Rs. 19965

∴ The amount of the same sum at 15% p.a. for the same time, interest compounded 8-monthly will become Rs. 19,965.

Given:

Amarnath invested a sum of Rs. 22,500.

Time = 4 years

Amount becomes = Rs. 28800

Concept used:

Simple Interest, SI = (P × R × T)/100

Amount = P + SI

where

P = Principal amount

R = Rate of interest per year

T = Time in years

Calculation:

Let the rate of interest be R%.

According to the question,

22500 + (22500 × R × 4)/100 = 28800

⇒ (22500 × R)/25 = 28800 - 22500

⇒ (900 × R) = 6300

⇒ R = 6300/900

⇒ R = 7

∴ At 7% rate of simple interest per annum he will obtain a total amount of Rs. 28,800 at the end of 4 years.

Given:

A motor boat covers a distance of 24 km upstream in one hour more than the time taken to cover the same distance downstream

Speed of the current = 2 km/h

Concept used:

Upstream speed = Speed of the boat in still water - Speed of the flow

Downstream speed = Speed of the boat in still water + speed of the flow

Distance = Speed × Time

(A + B) (A - B) = A² - B²

Calculation:

Let the speed of the boat be S km/h.

Upstream speed =  (S - 2) km/h

Downstream speed = (S + 2) km/h

According to the question,

24/(S - 2) - 24/(S + 2) = 1

⇒ 1/(S - 2) - 1/(S + 2) = 1/24

⇒ ${S + 2 - S + 2} \over {(S - 2) (S + 2)}$ = 1/24

⇒ $4 \over {(S^2 - 2^2)}$ = 1/24

⇒ S2 - 22 = 24 × 4

⇒ S² = 24 × 4 + 2²

⇒ S² = 100

⇒ S = 10 (∵ Speed can't be negative)

Now, the upstream speed = 10 - 2 = 8 km/h

∴ The upstream speed of the boat is 8 km/h.

Given:

In a right-angled triangle, the right angle is contained between the sides with lengths of 14 cm and 48 cm.

It is made to revolve around the longer side.

Concept used: 

ΔABC is a right-angled triangle at B.

Now, According to the Pythagoras Theorem,

AC2 = AB2 + BC2

BD is perpendicular to AC. So, BD × AC = AB × BC

Volume of cone = (πR2H)/3

where R = Radius of base and H = Height

Calculation:

Let ΔABC be the aforementioned right-angled triangle at B. 

Here, AB = 14 and BC = 48

So, applying Pythagoras Theorem, AC = $\sqrt {14^2 + 48^2}$ = 50 cm

In ΔABC, BF is perpendicular to Hypotenuse AC.

We know,

BF × AC = AB × BC

⇒ BF × 50 = 14 × 48

⇒ BF = (14 × 48)/50

⇒ BF = 13.44

Now, ΔABC is revolved around the Hypotenuse AC.

So, two cones ABD and BCD are formed. 

In the case of cone ABD,

Radius of base = 13.44 cm

Height = AF

So, the volume of the cone ABD = (π × 13.44² × AF)/3

In the case of cone BCD,

Radius of base = 13.44 cm

Height = CF

So, the volume of the cone BCD = (π × 13.442 × CF)/3

Now, the volume of the solid so formed

⇒ (π × 13.442 × AF)/3 + (π × 13.442 × CF)/3

⇒ {(π × 13.442) × (AF + CF)}/3

⇒ {(π × 13.442) × AC}/3

⇒ {(π × 13.442) × 50}/3

⇒ 9461.76 ≈ 9462 cm³

∴ The volume of the solid so formed is 9462 cm3.

Given:

The average weight of a certain number of children in a group was 31 kg.

11 children of average weight 32.5 kg joined the group, then the average weight of all the children would increase by 0.25 kg. 

Concept used:

Total = Average × Number of entities

Calculation:

Let there be N number of children initially.

The total initial sum of their weight = 31N kg

Total weight of 11 new joiners children = 32.5 × 11 = 357.5 kg

According to the question,

31N + 357.5 = (N + 11) × (31 + 0.25)

⇒ 31N + 357.5 = (N + 11) × 31.25

⇒ 31N + 357.5 = 31.25N + 343.75

⇒ 357.5 - 343.75 = 31.25N - 31N

⇒ 0.25N = 13.75

⇒ N = 13.75/0.25

⇒ N = 55

∴ The number of children initially in the group was 55.

Given:

The marked price of an item is Rs. 15,800.

The shopkeeper earns a profit of 18% after allowing a discount of 20%.

Concept used:

Selling price = Marked Price - Marked Price × Discount%

Selling Price = Cost Price + Cost Price × Gain%

Calculation:

Selling price of the item = 15800 - 15800 × 20% = Rs. 12640

Let the cost price of the item be P.

According to the question,

P + P × 18% = 12640

⇒ 1.18P = 12640

⇒ P = 12640/1.18

⇒ P = 10711.86

⇒ P ≈ 10712

∴ The cost price of the item is Rs. 10,712.

Shortcut Trick

Ratio of Volume to Curved Surface Area (CSA) of a cylinder = (πr²h) / (2πrh) = r/2.

Given: CSA = (1/8) × Volume ⇒ Volume / CSA = 8.

Equating the two: r/2 = 8 ⇒ r = 16 cm.

Substitute r in Volume: 8448 = (22/7) × 16 × 16 × h.

h = (8448 × 7) / (22 × 256) = (33 × 7) / 22 = 21/2 = 10.5 cm.

∴ The correct answer is 10.5 cm.

Alternate Method

Given:

Volume of cylinder (V) = 8448 cm³

Curved Surface Area (CSA) = (1/8) × V

Formula Used:

Volume (V) = πr²h

Curved Surface Area (CSA) = 2πrh

Calculations:

⇒ CSA = 8448 ÷ 8 = 1056 cm²

⇒ 2πrh = 1056 --- (i)

⇒ πr²h = 8448 --- (ii)

Dividing equation (ii) by equation (i):

⇒ (πr²h) / (2πrh) = 8448 / 1056

⇒ r / 2 = 8

⇒ r = 16 cm

Substitute r = 16 in equation (i):

⇒ 2 × (22/7) × 16 × h = 1056

⇒ h = (1056 × 7) / (2 × 22 × 16)

⇒ h = (1056 × 7) / 704

⇒ h = 7392 / 704

⇒ h = 10.5 cm

∴ The correct answer is 10.5 cm.

Additional Information

Total Surface Area of Cylinder

It is the sum of the curved surface area and the areas of the two circular bases: TSA = 2πrh + 2πr² = 2πr(h + r).

Volume of a Hollow Cylinder

The volume of a hollow cylinder with external radius R and internal radius r is V = πh(R² − r²).

Conversion Factor

1 Liter = 1000 cm³ and 1 m³ = 10⁶ cm³.

Given:

3 + (1 + $\frac{1}{2}$ - {3 - (8 ÷ 2)} + $\frac{1}{3}$ + $\frac{2}{5}$)

Concept used:

Calculation:

3 + (1 + $\frac{1}{2}$ - {3 - (8 ÷ 2)} + $\frac{1}{3}$ + $\frac{2}{5}$)

⇒ 3 + (1 + $\frac{1}{2}$ - {3 - 4} + $\frac{1}{3}$ + $\frac{2}{5}$)

⇒ 3 + (1 + $\frac{1}{2}$ + 1 + $\frac{1}{3}$ + $\frac{2}{5}$)

⇒ 3 + ${30 + 15 + 30 + 10 + 12} \over 30$

⇒ 3 + $97 \over 30$

⇒ $(90 + 97) \over 30$

⇒ $\frac{187}{30}$

∴ The simplified answer is $\frac{187}{30}$.

Given:

The winning secretarial candidate got 69% of the votes and

Won 342 votes more than his rival.

Concept used:

Total number of votes cast = Total number of students in the college

Calculation:

Considering the total votes to be 100%.

The candidate who lost got = 100 - 69 = 31% of total votes

Difference between the candidates in votes in terms of percentage = 69 - 31 = 38%

According to the question,

38% × Total votes = 342

⇒ Total votes = 342/38%

⇒ Total votes = 342/0.38

⇒ Total votes = 900

∴ The total number of students in the college is 900.

Given:

The profit made by selling an article for Rs. 12,400 is equal to the loss incurred on selling the same article at Rs. 10,600. 

Concept used:

Loss = Cost price - Selling price

Profit = Selling price - Cost price

Profit% = ${(Selling\ Price\ -\ Cost\ Price) \over Cost\ Price} \times 100\%$

Calculation:

Let the cost price of the article be R.

According to the question,

12400 - R = R - 10600

⇒ 2R = 12400 + 10600

⇒ R = 23000/2

⇒ R = 11500

Now, the profit% = ${{14950 - 11500} \over 11500} \times 100\%$

⇒ ${{3450} \over 11500} \times 100\%$

⇒ $0.3 \times 100\%$ = 30%

∴ The profit percent if it is sold for Rs. 14,950 is 30%.

Given:

The retail price of a table is Rs. 900 and the gain percentages of the manufacturer, the wholesale dealer and the retailer are 8%, 10% and 20%, respectively.

Concept used:

Selling Price = Cost Price + Cost Price × Gain%

Calculation:

Let the cost of production of the table be p.

Manufacturer price = p + p × 8% = 1.08p

Wholesale price = 1.08p + 1.08p × 10% = 1.188p

Retailer price = 1.1188p + 1.1188 × 20% = 1.4256p

According to the question,

1.4256p = 900

⇒ p = 900/1.4256

⇒ p ≈ 631.31

⇒ p ≈ 631

∴ The cost of production of the table is Rs. 631.

Given:

The LCM and HCF of two numbers are 420 and 6.

Sum of the numbers is 102.

Concept used:

LCM is the smallest common multiple of two or more numbers.

HCF is the largest number or quantity that is a factor of each member of a group of numbers.

(A + B)² - 4AB  = (A - B)²

Calculation:

Let the numbers be 6p and 6q respectively. (P, Q are co-primes and 6p>6q)

Difference between the numbers = 6p - 6q

According to the question,

LCM (6p, 6q) = 420

⇒ 6 × p × q = 420

⇒ pq = 70

⇒ 4pq = 280       ....(1) (Multiplied both by 4)

6p + 6q = 102

⇒ 6(p + q) = 102

⇒ (p + q) = 17

⇒ (p + q)² = 17²

⇒ (p + q)2 - 4pq = 172 - 4pq (Subtracting 4pq from both side)

⇒ (p - q)2 = 289 - 280 (From 1)

⇒ (p - q)² = 9

⇒ (p - q) = 3

⇒ 6(p - q) = 18 (Multiplied both side by 6)

⇒ 6p - 6q = 18

∴ The difference between the numbers is 18.

The correct answer is 'A first woman gold medalist'.

Key Points

• The error lies in 'a first woman gold medalist' part .
• It should be 'the first woman gold medalist'.
• We use article 'the' before singular and plural nouns when the noun is specific or particular.
• Similarly, here 'the' is showing specificity that a grand celebration in honour was organised for that particular first woman gold medalist by the family members.
• Therefore, the correct answer is option 1.

The correct answer is "Will be".

Key Points

• The use of 'are' is incorrect here.
• The given sentence is a first conditional sentence that expresses a sitaution in which a outcome is likely to happen in future.
• When using the first conditional structure, we use the simple present tense in the 'if' clause and simple future tense in the main clause.
• Therefore, we will use 'will' in the main clause as per the above structure.
• The correct answer is option 2.

The correct answer is 'Growl'.

Key Points

• Here, let's explore different options and find out which is the one word for the given group of words
• Caw : to utter the harsh raucous natural call of the crow or a similar cry.
• Bray : It is the loud, harsh cry of a donkey.
• Growl is  to make a low, guttural, aggressive sound and , animals that growl include dogs, crocodiles, bears etc.
• Purr : to utter a low, continuous, murmuring sound expressive of contentment or pleasure, as a cat does.
• So after exploring the meanings of all four options, we are able to conclude that the one word for 'that sound a bear makes' is Growl.
• Hence, the correct answer is option 3.

The correct answer is " to postpone something".

Key Points

• The given idiom 'to put something on hold' means to postpone something; to stop the progress of something.
• Example: Financial crunch led them to put their future plans on hold.
• With the given meaning and its example sentence, it's pretty obvious that the meaning is 'To postpone something.'
• Thus, the correct answer is option 3.

The correct answer is 'patriot'.

Key Points

• Here, we need a one-word substitution for 'A person who loves, supports and defends his country' from the given options:
• The marked option 'patriot' means a person who loves his or her country and is ready to boldly support and defend it.
• Example : All the freedom fighters in history are revered as patriots.
• ​  From the above given meaning and example of the marked option 'patriot' we are sure that it can be used as a one word substitute for the given group of words.
• Therefore, the correct answer is option 4.

The erroneous spelling is 'Pickel'.

Key Points

• Pickel is the erroneous spelling of Pickle.
• The meaning of the word Pickle is a food that's made by soaking vegetables in brine or vinegar.
• Example:  No Indian meal is complete without a modicum of a pickle.
• Therefore, the correct answer is option 3.

The correct answer is 'Ultimately'.

Key Points

• From the given options, we need to choose the appropriate word that fits well in the given blank contextually.
• Immediately : without delay or intervention.
• Accurately: in a way that is correct, exact, and without any mistakes.
• Ultimately: In the end, finally, most importantly, and conclusively.
• Happily:  Luckily, fortunately
• From the given options,  'ultimately' is the best fit here in the given blank as the sentence conveys that in the end /conclusively, the person is solely responsible to blame himself.
• Therefore, the correct answer is option 3.

The correct answer is  Control

Key Points

• Restrain meaning is to control the actions or behavior of someone by force.
• Example: Virat Kohli has to restrain himself from eating his favorite Chole Bhature.
• The marked option Control means the 'power or authority to direct, order or restrain.'
• From the above-given meaning of the marked option and the given word, it is obvious that 'restrain' and control both are synonyms of each other.
• Therefore, the correct answer is option 2.

The correct answer is "I returned home".

Key Points

• Here we need to correct the incorrect usage of tense.
• 'Last ' word indicates that the tense is simple past.
• The simple past tense is used to talk about a past activity.
• The structure goes like :
• Subject(He/she/It/I/You/We/They)+Past form of the Verb(V2)
• Therefore 'returned' will be used instead of 'returning' in the above-given sentence for making it error-free.
• Thus, the correct answer is option 2.

The correct answer is " Lack".

Key Points

• Resource: Something that is available for use in abundance or that can be used for support or help.
• Example: Saudi Arabia is rich in natural resources like natural gas, petroleum reserves, etc.
• The marked option 'Lack' means scarcity or absence of something needed or desirable.
• Example: A lack of exposure to Sunlight causes Vitamin D deficiency.
• Therefore, from the above-given example sentences and their meanings, we can infer that 'resource' and 'lack' are antonyms of each other.
• Thus, the correct answer is option 3.

The erroneous segment is "Nobody were".

Key Points

• We have to select that segment that contains a grammatical error.
• The given sentence is not grammatically correct.
• The error lies in Part A of the sentence.
• Here Nobody is an indefinite pronoun that refers to  'not any person'.
• Nobody is a singular pronoun and therefore we use it with a singular verb.
• Therefore, the usage of 'were' is incorrect here.
• We will use 'was' instead of 'were' with nobody for making this sentence error-free.
• Thus, the correct answer is option 4.

Correct Sentence: Nobody was allowed into the containment zones during the pandemic.