SSC GD Constable Previous Year Paper (Held on: 14th December 2021 Shift 1)

Five persons, A, B, C, D and E, are sitting at each corner of a pentagonal table, facing the centre.

1. C is to the right of A and is second to the left of D.

2. E is not between A and D.

Clearly, E is sitting between D and C as it is the only position left for E.

Now, the vacant position will be occupied by B, the only person left.

Clearly, B is sitting third to the left of E.

Hence, 'B' is the correct answer.

The logic followed here is:

28 × 0.5 = 14

14 × 1 = 14

14 × 1.5 = 21

21 × 2 = 42

42 × 2.5 = 105

105 × 3 = 315

Hence, '315' is the correct answer.

Faces opposite to each other is shown below:

 → It can be formed.

  → It cannot be formed as 2 is to the right side of 5, so it cannot be at the top of 5.

 → It cannot be formed as 4 and 2 are faces opposite to each other.

 → It cannot be formed as 5 and 3 are faces opposite to each other.

Hence, 'Only A' is the correct answer.

Mistake Points

The sequence from question figure is as follows

The sequence in B is as follows

As seen from above figures, sequence in B is in opposite direction, thus it can't be the correct answer.

The logic followed here is:

Hence, 'LPTX' is the correct answer.

The paper when unfolded will appear as shown below:

Hence, 'option 4' is the correct answer.

Let the number of boys be x.

According to problem:

(4/5)x = 48

⇒ 4x = 48 × 5

⇒ 4x = 240

⇒ x = 240 ÷ 4

⇒ x = 60

Let the number of students in the class be y.

According to problem:

(3/4)y = 60

⇒ 3y = 60 × 4

⇒ 3y = 240

⇒ y = 240 ÷ 3

⇒ y = 80

Total number of girls in the class = Total number of students - Total number of boys = 80 - 60 = 20

Hence, '20' is the correct answer.

Given sequence: D P _ X _ D _ N _ R _ P _ X R

1. N R P X D N → D P N X R - D P N X R - D P N X R
2. R N P X D N → D P R X N - D P N X R - D P N X R
3. N X P X D N → D P N X X - D P N X R - D P N X R
4. N R P X N D → D P N X R - D P N X R - N P D X R

Hence, ‘N R P X D N’ is the correct answer.

The logic followed here is:

Similarly,

Hence, 'MR' is the correct answer.

The logic followed here is:

Logic: When we interchange the positions of 1st number, we get second number.

• 78  ∶ 87 → When we interchange the positions of the digits in the number 78, we get 87.
• 65  ∶ 56 → When we interchange the positions of the digits in the number 65, we get 56.

Similarly,

• 43  ∶ ? → When we interchange the positions of the digits in the number 43, we get 34.

Hence, '34' is the correct answer.

By using the symbols in the table given below, we can draw the following family tree:

Clearly, my mother is the maternal grandmother of Dheeraj.

Hence, ‘Maternal grandmother’ is the correct answer.

The correct mirror image of the given figure when the mirror is placed to its right side is shown below:

Hence, 'option 4' is the correct answer.

The logic followed here is:

• ‘Pen’ is related to ‘Ink’ → Ink is required to use a pen. We can also say that pen and ink are complementary goods.

Similarly,

• ‘Needle’ is related to ‘_______’ → Needle is required to use a thread. Needle and thread are complementary goods.

Hence, 'Thread' is the correct answer.

The logic followed here is:

Similarly,

Hence, 'RXCMDX' is the correct answer.

The logic followed here is:

 

 

Similarly,

Hence, '23-43' is the correct answer.

The logic followed here is:

Column wise: (1st number × 3) + (2nd number × 2) = 3rd number

Column 1: 

(9 × 3) + (8 × 2) = 27 + 16 = 43.

Column 2: 

(10 × 3) + (12 × 2) = 30 + 24 = 54.

Column 3: 

(13 × 3) + (14 × 2) = 39 + 28 = 67.

So, 67 will replace the question mark.

Hence, the correct answer is "67".

The correct option that indicates the arrangement of the given words in the order in which they appear in an English dictionary is:

4. Count
5. Courage
6. Course
7. Court
8. Courteous

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

The image embedded in given figure is as shown below:

Hence, 'option 1' is the correct answer.

The least possible Venn diagram is:

Conclusions:

I. Some dentists are doctors. → Follows (As, Some dentists are surgeons and All the surgeons are doctors)

II. No surgeons are dentists. → Do not follow (As, Some dentists are surgeons)

Hence, 'Only conclusion I follows' is the correct answer.

The logic followed here is:

1. CXTP → C - 5 = X; X - 4 = T; T - 4 = P
2. RMHC → R - 5 = M; M - 5 = H; H - 5 = C
3. TOJE → T - 5 = O; O - 5 = J; J - 5 = E
4. NIDY → N - 5 = I; I - 5 = D; D - 5 = Y

Hence, 'CXTP' is the correct answer.

The logic followed here is:

Hence, '171' is the correct answer.

The logic followed here is:

Similarly,

Hence, 'BATNMTUDMX' is the correct answer.

Sitting in a row, Wilson, Peter, Yagnik and Zohra are watching TV.

1. Yagnik is sitting at the left side of Zohra, who is at the left side of Wilson.
2. If Yagnik is NOT sitting at any end of the row.

Clearly, Peter is at the left side of Yagnik if he is NOT sitting at any end of the row.

Hence, 'Peter' is the correct answer.

The Venn diagram that best represents the relationship between Sea animals, Shrimp, and Walrus is shown below:

Both Shrimp and Walrus are name of sea animals.

Hence, ‘option 1’ is the correct answer.

The rectangle is moving in anti-clockwise direction and as we move along the series, we see the black colored portion of the rectangles shifts one position in each step.

The figure at the centre of the image is rotating in clockwise direction.

Hence, 'option 1' is the correct answer.

Given expression: 55a5b5c5d3

After replacing the letters by their meaning, we get:

55 × 5 ÷ 5 - 5 + 3

= 55 × 1 - 5 + 3

= 55 - 5 + 3

= 58 - 5

= 53

Hence, '53' is the correct answer.

The correct answer is Douglas Stuart. 

Key Points

• Douglas Stuart has won the Booker Prize for his novel ‘Shuggie Bain’.
• ‘Shuggie Bain’ is Douglas’ debut novel that has been published in 2020.
• It is an autobiographical novel that tells the story of his mother and him and is set in Glasgow of 1980s.
• The Novel us about a boy supporting her mother suffering for alcoholism, marriage breakdown and poverty.
• The novel was rejected by 32 publishers before being published by UK based Picador Publishers.

Additional Information 

About the Booker Prize:

• It is literary award given for the novels written in English and Published in either England or Ireland.
• The prize was constituted in the year 1969 by Booker McConnell Limited Company.
• The awardee is presented with a reward of 50,000 Euros.
• The first winner of this prize was PH Newby who won it for his novel ‘Something to Answer for’.
• Since 2019, The award is being presented by ‘Crankstart’.

Indian winners of Booker Prize:

• VS Naipaul: On a Free State.
• Salman Rushdie: Midnight’ s Children
• Arundhati Roy: The god of small things
• Kiran Desai: The inheritance of Loss
• Aravind Adiga: The White Tiger

The correct answer is Hunter Commission.

Key Points

• The Hunter Commission of 1882 was presided over by Sir William Hunter.
• This Commission was appointed for the enquiry of education in India which was earlier given by Wood’s Despatch in 1854.
• Recommendations of the Hunter Commission:
• Preference was given to literate candidates for government jobs in the lower levels, along with the expansion of primary schools in backward districts.
• District and municipal boards were entrusted with the management of primary education under the Local Self Government Act. The funds were separated for rural and urban areas to avoid funds earmarked for rural schools being misappropriated by urban schools.
• Secondary schools were to be established by private parties with funds provided by the government. Model schools fully run by the government were to be opened in each district to guide such private schools.
• The secondary school curriculum was also revised with academic and vocational courses diversified into different branches.
• Missionary schools were discouraged, and Indian participation in the private school system was solicited by the raj. Special care was supposed to be taken in advancing the education of girls and women.

Additional Information

• Sadler Commission-1917
• As observed by the Sadler Commission in 1917, The next important evolution was the realization of the need for the advancement of secondary education for the enhancement of University education.
• This agitate also stemmed from the need for ramifying college courses.
• Sadler Commission suggested bifurcating higher education at the intermediate examination instead of the matriculation examination.
• Suggested the formation of Intermediate colleges which would provide instruction in Arts, Medicine, Science, Teaching, Engineering, etc
• The Calcutta University Commission
• In 1917, the Calcutta University Commission was appointed by the Government of India under the Chairmanship of Mr. Michel Sadler, the Vice-Chancellor of the University of Leeds.
• So it was popularly known as the Sadler Commission. This Commission was appointed for the purpose of making recommendations to reform Calcutta University.
• Although it dealt with Calcutta University only, the problems it studied were more or less common to other Indian Universities.
• Hence, the report of the Commission is a document of provincial importance and it had far-reaching consequences on the development of universities in India as a whole.
• The University Commission
• Lord Curzon evinced a keen interest in the development of education in British India.
• Soon after his arrival as Viceroy, he convened one educational conference at Shimla in 1901, to discuss the problems ranging from Primary to University education.
• A University Commission was appointed on January 27, 1902.

The correct answer is Penganga.

Key Points

• Penganga is a tributary of the river Godavari.
• The Penganga River is a tributary of the Wardha River, which is a tributary of the Pranhita River, which flows into the Godavari.
• The Godavari is the biggest east-flowing river in India.
• The Godavari river rises from Trimbakeshwar, Nashik Maharashtra.
• The Godavari river is an outfall in the Bay of Bengal.
• The total length of the Godavari is 1465 km.
• The Godavari is the main river of Telangana state.

Additional Information

• Major left-bank tributaries: 
• Purna, Pranhita, Indravati, and Sabari river.
• Major right bank tributaries: 
• Pravara, Manjira, and Manair river.
• The Pranhita river is the largest tributary of Godavari.
• Important dams were built across the Godavari river: Jayakwadi dam, Gangapur Dam, Babli project, and Sriram Sagar Dam.
• The Coringa mangrove forest is situated in the Godavari delta.

The correct answer is connective.

Key Points

• Adipose tissue is a type of loose connective tissue located mainly beneath the skin.
• The cells of this tissue are specialized to store fats.
• Connective tissues are most abundant and widely distributed in the body of complex animals.
• They are named connective tissues because of their special function of linking and supporting other tissues/organs of the body.
• They range from soft connective tissues to specialized types, which include cartilage, bone, adipose, and blood.
• In all connective tissues except blood, the cells secrete fibres of structural proteins called collagen or elastin.

Additional Information

• Epithelial tissue:
• The epithelial tissues are formed by cells that cover the organ surface such as the surface of the skin, the airways, the reproductive tract, and the inner lining of the digestive tract.
• Muscular tissues:
• Muscular tissue is a soft tissue that composes muscles.
• Skeletal muscle (voluntary muscles), cardiac muscle (involuntary muscles) are examples of it.
• Nervous tissue:
• The main components of the nervous system are the brain, spinal cord, and nerves which regulate and control body functions.
• It is made up of neurons that have important functions in the nervous system.

The correct answer is 1 December.

Key Points

• The Border Security Force celebrated its Raising Day on 1 December.
• The BSF is now one of the largest border guarding armies in the world.
• BSF Jammu is stationed on the Line of Control with the Indian Army and along 192 kilometres of the international border with Pakistan.
• The Border Security Force (BSF), India's central armed police force, was established on December 1, 1965.

Additional Information 

• BSF is the only CAPF (Central Armed Police Forces) to have a Full-fledged Water Wing, Air Wing, and even an Artillery Regiment of its own.
• It comes under the Ministry of Home Affairs.
• It is one of the five Central Armed Police Forces of India.
• BSF has been termed as the First Line of Defence of Indian Territories.
• It is headquartered in New Delhi.
• Praveen Kumar is the current Director General of BSF.

The correct answer is Arunachal Pradesh.

Key Points

• Pakke Tiger Reserve (PTR) is located in Arunachal Pradesh.
• It has become the first in the Northeast to provide insurance cover against COVID-19 for its 'Green Soldiers'.
• 57 frontline staff of the Park have been insured for nine months against health issues due to infection by the Novel Coronavirus.
• The 'Wildlife Trust of India' (WTI), an NGO, paid the insurance amount with support from 'Foundation Serge'.
• The insurance coverage is Rs 1 lakh each, but a few who would be retiring soon have been insured for Rs 50,000.
• India's frontline Forest staff work in the most challenging conditions with insufficient life or health cover; and for a remote location like Pakke, any illness or hospitalization can prove ruinous.

Additional Information

• Nagarjunasagar - Srisailam Tiger Reserve is the largest tiger reserve in India.
• It is present in Andhra Pradesh.
• A Tiger Reserve consists of a 'Core' or 'Critical Tiger Habitat'.
• It is to be managed as an inviolate area, and a 'Buffer' or Peripheral area immediately abutting a Core area, which may be accorded a lesser degree of habitat protection. This is the typical zonation of a Tiger Reserve.
• Bor Tiger Reserve (Maharashtra) is the smallest Tiger Reserve in India.

The correct answer is 2021.

Key Points

• This Is the first-ever digital Union Budget, presented by Union Minister of Finance and Corporate Affairs Smt. Nirmala Sitharaman.
• Union Budget 2021-22 is based on 6 pillars.  
• Health and Wellbeing
• Physical & Financial Capital, and Infrastructure
• Inclusive Development for Aspirational India
• Reinvigorating Human Capital
• Innovation and R&D
• Minimum Government and Maximum Governance

Additional Information

• Here are some interesting facts about the Union Budget:
• The term Budget has been derived from the French word 'Bougette' which translates to 'small bag'.
• The first Union Budget of India was introduced on April 7, 1860, by the East India Company to the British Crown.
• It was presented by James Wilson, a Scottish Economist.
• The Budget did not have the word ‘infrastructure’ until it was introduced in the 1900s.
• The first Budget of independent India was introduced on November 26, 1947.
• It was presented by R.K. Shanukham Chetty, India’s first Finance Minister.
• The Budget was printed in the English language only until 1955.
• Since 1955-56, it has been printed in English and Hindi.

The correct answer is Ashok Lavasa.

Key Points

• The Asian Development Bank has appointed election commissioner Ashok Lavasa as its Vice-President.
• He was next in line of succession to become the chief election commissioner of India after incumbent Sunil Arora retires in April 2021 and would have overseen more than half a dozen assembly elections.
• He will succeed the current vice president at ADB Diwakar Gupta whose tenure ends on 31 August 2020.

Additional Information

• ADB:
• Headquarters - Mandaluyong, Philippines.
• President - Masatsugu Asakawa.
• Founded On - 19 December 1966.

The correct answer is 2008.

Key Points

• ​The National Urban Sanitation Policy was launched in 2008 by the Ministry of Urban Development of India.
• It emphasizes the need of:
• defining integrated city-wide sanitation plans including institutional strengthening.
• awareness generation, behavioural changes.
• pro-poor approaches.
• cost-effective technologies aiming at developing state sanitation strategies
• city sanitation plans should lead to open defecation-free cities.
• sanitary and safe disposal of all human and liquid wastes.

Additional Information

• Under the National Urban Sanitation Policy, a city that scores points between 34 and 66 and needs considerable improvement is colour-coded as black.
• The comparative rating of cities is based on 19 sanitation indicators.
• It is currently being carried out in 441 cities and towns with a population of more than 100,000.
• The indicators are based on output/process/outcome levels.
• Cities will be rated on parameters such as:
• complete elimination of open defecation.
• elimination of open scavenging.
• safe collection and disposal of total human excreta.
• On the basis of the rating, cities will be classified as Red, Black, Blue, or Green to denote increasing achievement of good environmental and health outcomes (red being the lowest and green the highest).

The correct answer is Pushyamitra Shunga.

Key Points

• The last Mauryan king was assassinated by Pushyamitra Shunga.
• Bridhadratha was the last ruler of the Maurya dynasty.
• He was assassinated by his commander-in-chief Pushyamitra Shunga in 185 BC.
• Pushyamitra Shunga established the Shunga dynasty.
• Pushyamitra Sunga was a Brahmin.
• Pushyamitra Sunga was the commander in chief of the Last Mauryan king, Brihadratha.
• He destroyed many of the Ashokan Stupas and Inscriptions.
• Agnimitra was the son of Pushyamitra.
• Bhagabhadra was the son of Agnimitra and Devabhuti was the son of Bhagabhadra.

Additional Information

• The Mauryan dynasty lasted 137 years.
• Chandragupta dethroned the last Nanda ruler Dhanananda and occupied the Patliputra in 322 BC.
• Three important rulers of the Maurya dynasty were
• Chandragupta.
• Bindusara.
• Ashoka.

The correct answer is Assam.

Key Points

• There are five Indian states through which Nepal shares its border.
• Nepal shares a border of almost 1850 km with Uttar Pradesh, Uttarakhand, Bihar, Sikkim, and West Bengal.
• Hence Assam does NOT have a border with Nepal.

Additional Information

• The following table shows that a List of International boundaries shared with respective states of India & lengths of borderline.

The correct answer is Mysuru.

Key Points

• India's first sandalwood museum has been set up at Aranya Bhavan in Ashokapuram, Mysuru, Karnataka.
• The museum has been set up by the regional forest department to educate the farmers about the importance of sandalwood cultivation.
• It will also provide information on technical assistance, plant availability, marketing facilities, pest control measures, incentives, and schemes provided by the government for sandalwood growers.

Additional Information

• Important information about Karnataka:
• State Foundation Day: 1 November 1956 (Celebrated as Karnataka Rajyotsava or Kannada Rajyotsava or Kannada Day, also known as Karnataka Formation Day or Karnataka Day).
• In 1956, all the Kannada language-speaking regions of South India were merged to form the state of Karnataka.
• Chief Minister: B. S. Yediyurappa
• Governor: Vajubhai R Vala
• State Animal: Indian elephant
• State Bird: Indian Roller
• State Tree: Sandal-wood
• National Parks: Bannerghatta National Park, Bandipur National Park, Nagarhole National Park, Kudremukh National Park, Anshi National Park

The correct answer is Cricket.

Key Points 

• Vasudev, alias Vasoo, Paranjape — a former First Class cricketer who mentored numerous greats of the game, passed away at his home after a prolonged illness.
• He was 82.
• Paranjape’s career as a cricketer was restricted to 29 appearances for Mumbai from 1956 to 1970.
• From Sunil Gavaskar to Rohit Sharma, from Dilip Vengsarkar to Rahul Dravid, from Sachin Tendulkar to Ramesh Powar, and from Anil Kumble to W.V. Raman, hundreds of international cricketers benefited from Paranjape’s timely advice at different junctures in their career.
• He was the coach of India Under-19 for the inaugural Youth World Cup in 1988, with the squad including the likes of M. Senthilnathan, Pravin Amre, Nayan Mongia, Narendra Hirwani, Venkatapathy Raju, and Subroto Banerjee.

Additional Information

• A book named ''Cricket Drona'' on one of India's most respected cricket coaches, Vasoo Paranjape, will be released on September 2, 2020.
• The book published by Penguin has been co-authored by Paranjape's son, former India player Jatin along with cricket journalist Anand Vasu.

The correct answer is Article 24.

Key Points

• Article 24 of the Constitution of India defines that no child below the age of 14 years shall be employed to work in any factory or mine or engaged in any other hazardous employment.
• A child's employment under the age of 14 is strictly prohibited.
• If violated, can result in the imposition of fines, or imprisonment in some states.
• Also, night work, work for more than 6 hours a day, and overtime work is also strictly prohibited.
• The Child Labour Amendment Act 2012 was passed in 2016 in this regard.

Additional Information

• Article 76 talks about the office of the Attorney General of India.
• AG is the chief legal advisor to the government of India.
• AG is not considered a government servant.
• Article 34 empowers the Parliament to indemnify (compensate) any government servant or any other person for any act done by him in connection with the maintenance or restoration of order in any area where martial law was in force.
• Article 89 Officers of Parliament  Constitution Of India
• The Vice-President of India shall be ex officio Chairman of the Council of States.
• The Council of States shall, as soon as may be, choose a member of the Council to be Deputy Chairman thereof and, so often as the office of Deputy Chairman becomes vacant, the Council shall choose another member to be Deputy Chairman thereof.

The correct answer is Prime Minister of India.

Key Points

• Prime Minister Shri Narendra Modi chaired the 13th BRICS Summit virtually in 2021.
• He is an Indian politician serving as the 14th and current prime minister of India since 2014.
• He was the chief minister of Gujarat from 2001 to 2014 and is the Member of Parliament from Varanasi.
• BRICS is the acronym coined to associate five major emerging economies - Brazil, Russia, India, China and South Africa.
• Its headquartered in Shanghai, China.

Additional Information

• The first BRIC Summit took place in 2009 in the Russian Federation and focused on issues such as reform of the global financial architecture.
• The 11th BRICS summit took place in Brazil (Brasilia) from 13 to 14 November 2019.
• The 2020 BRICS summit was held virtually amid the covid pandemic under the chairmanship of Russia.
• The 13th BRICS Summit was held under India's Chairmanship on 09 September 2021.
• China will take over the BRICS chairmanship and host the 14th BRICS Summit in the year 2022.

The correct answer is 5.

Important Points

• Union Finance Minister Nirmala Sitharaman presented the Union Budget 2020-21 in which five archaeological sites are proposed to be developed.
• Three sites will be developed in the North, one in the North East and one in the South of India, and are mentioned below-
• Rakhigarhi in Haryana
• Hastinapur in Uttar Pradesh
• Sivasagar in Assam
• Dholavira in Gujarat
• Adichanallur in Tamil Nadu
• Apart from this, a tribal museum is also proposed to be developed in Ranchi in Jharkhand, an Indus Valley civilization maritime museum in Loktak, and a Harappan civilization maritime museum in Ahmedabad.

The correct answer is Yuzvendra Chahal.

Key Points

• Yuzvendra Chahal represented India at the World Youth Chess Championships as a teenager.
• Yuzvendra Chahal is a former chess player and an Indian Cricketer who represented India in both day international and Twenty-20 Internationals
• He played for Mumbai Indians, and Royal Challengers Bangalore and now playing for Rajasthan Royals (2022) in the IPL and for Haryana in domestic cricket.

Additional Information

• Mohammed Shami Ahmed is an Indian international cricketer, who plays for the Indian national cricket team in all formats of the game as a bowler.
• Ajinkya Madhukar Rahane is an Indian international cricketer and former captain of the Indian national cricket team in all formats.
• Bhuvneshwar Kumar Singh is an Indian international cricketer and a former limited-overs vice-captain who plays for Uttar Pradesh in domestic first-class cricket and for Sunrisers Hyderabad in the Indian Premier League.

The correct answer is Wheat Revolution.

Key Points

• Indira Gandhi officially recorded the impressive strides in agriculture, by releasing a special stamp in July 1968, entitled Wheat Revolution.
• The Green Revolution in India is largely the Wheat Revolution as the wheat production increased by more than three times between 1967-68 and 2003-04.
• The Green Revolution was an endeavour initiated by Norman Borlaug in the 1960s.
• He is known as the 'Father of Green Revolution in the world.
• In India, the Green Revolution was mainly led by M.S. Swaminathan.
• For introducing high-yielding varieties of rice and wheat to increase food production in order to alleviate hunger and poverty.
• The Green Revolution was a period when agriculture in India was converted into an industrial system and was a change in crop pattern.

Additional Information

• White Revolution was started to make India self-dependent in milk production.
• The master brain behind the white revolution in India was Dr Verghese Kurien.
• Verghese Kurien is well known as the milkman of India.
• Operation flood is the code name given to the white revolution.
• The 'Brown Revolution' is focused on giving emphasis to an Increase in the production of raw leather.
• Hiralal Chaudri is considered the father of the Brown Revolution.
• The Brown Revolution is related to Visakhapatnam’s tribal areas.
• Yellow revolution is related to Oil seeds like mustard, groundnut sesame, etc.
• Sam Pitroda is credited for the Yellow revolution.
• It also resulted in a sudden increase in the production of edible oil due to the production of Hybrid oil seeds.
• The Yellow revolution started in the year 1986-87.

The correct answer is 1875.

Key Points

• Sir Syed launched the Aligarh Movement of which Aligarh was the centre.
• He had two immediate objectives in mind: to remove the state of misunderstanding and tension between the Muslims and the new British government and to induce them to go after the opportunities available under the new regime without deviating in any way from the fundamentals of their faith.

Additional Information

• The Aligarh Movement had other objectives also such as:
• To persuade Muslims to learn English education.
• To persuade Muslims to abstain from politics of agitation.
• To produce an intellectual class from amongst the Muslim community.
• To bring social and cultural reform to the Muslim community.

The correct answer is 13th.

Key Points

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

Additional Information 

• Mumbai Indians won the Indian Premier League (IPL), in 2020.
• The final match was played between Mumbai Indians and Delhi Capitals.
• Mumbai Indians won this match by 5 wickets.
• Mumbai Indians also won Paytm Fairplay Award this year.
• This is the consecutive second time Mumbai Indians won the IPL title & and overall 5th time.

The correct answer is North-West Frontier Province.

Key Points

• Khan Abdul Ghaffar Khan was the Pashtun leader from North-West Frontier Province. 
• He was called 'Frontier Gandhi’ in India and ‘Bacha Khan’ in Pakistan.
• The arrest of Abdul Ghaffar Khan in 1930 led to angry demonstrations in the streets of Peshawar.
• The Khudai Khidmatgar (literally Servants of God), led by Khan Abdul Ghaffar Khan, was a group of Pashtuns committed to the removal of British rule through non-violent methods.
• On 23 April 1930, Ghaffar Khan was arrested after giving a speech in Utmanzai urging resistance to British rule.
• This led to demonstrations by a cross-section of civil society in and around Peshawar, led by Maulana Abdur Rahim Popalzai against discriminatory laws like the Frontier Crimes Regulation against the people of the province.

Additional Information

The correct answer is Karama Festival.

Key Points

• Karama Festival is an agricultural festival celebrated by tribals in Madhya Pradesh and some other states of India, in the month of September-October every year in honour of the God of youth and power.
• The Karama Festival is widely celebrated and popular among the tribal people of Sundargarh, Mayurbhanj, Sambalpur, Bolangir, Dhenkanal, and Keonjhar.
• The deity worshipped in the festival is either 'Karam', a God, or 'Karamsani', a Goddess who is represented with a branch of the Karam tree.

Additional Information

• The Thrissur Pooram is an annual temple festival held in Thrissur, Kerala, India.
• It is held at the Vadakkunnathan (Shiva) Temple in Thrissur.
• The Chandanakudam festival was conducted on the eve of the Pettathullal (ceremonial mass dance) held at the Nainar Masjid (Vavar Palli) at Erumeli, Kerala.
• Attukal Pongala is a 10-day religious festival celebrated at the Attukal Bhagavathy Temple in Thiruvananthapuram in the Indian state of Kerala.

The correct answer is Plants

Key Points

• All living organisms are made up of one or more units called cells.
• Organisms consist of only one cell is called a unicellular organism.
• Amoeba is an example of a unicellular organism.
• Other examples of the unicellular organisms are:
• Chlamydomonas.
• Protozoa
• Paramoecium.
• Bacteria.
• Nostoc.
• Yeast.
• Many cells group together in a single body and assume different functions in it to form various body parts in multicellular organisms.
• Examples of a multicellular organism are:
• Plants.
• Animals.
• Fungi.
• Algae.
• Hence Plants is the correct answer.

Additional Information

• Every multi-cellular organism has come from a single cell.
• All cells come from pre-existing cells.
• If an organism has no cell, it is called acellular.
• Virus is an example of an acellular organism.

The correct answer is ​Sikkim.

Key Points

• Sikkim won the 'Most Film Friendly State Award' at the 67th National Film Awards, 2019
• Rajat Kamal & Certificate is provided.
• Ahead of the announcement, the Chairperson and other Jury members called on the Union Minister for Information and Broadcasting Shri Prakash Javadekar and presented him with the selections for the Awards.

Additional Information 

The correct answer is 104.

Key Points

• 104 amendments were made to the Constitution of India till December 2020.
• The latest amendment is 104th Amendment Act, 2020.
• It extended the deadline for the cessation of seats for SCs and STs in the Lok Sabha and states assemblies from Seventy years to Eighty. Removed the reserved seats for the Anglo-Indian community in the Lok Sabha and state assemblies.
• Under Article 331, the President use to nominate 2 members of the Lok Sabha from the Anglo-Indians Community.

Additional Information

• The Part of the constitution that deals with the amendments of the constitution are Part-XX of the constitution.
• The only Article-368 contained in Part-XX of the Indian Constitution deals with the Power of Parliament & procedure of the amendments in the Constitution.
• Till date, the total number of amendments in the constitution is 104 among which the latest one is the amendment of Article 334 on 25th January 2020.
• The 42nd amendment act, of 1976 is also known as the Mini Constitution of India as it Contained various amendments in the Preamble, Fundamental Rights, Legislature etc., as well as Part-IV(A), was also inserted in the constitution of India.

Given:

Ratio of incomes of A and B = 3 : 7

Expenditures of A and B ratio = 2 : 5

Formula used:

Income - Expenditures = Saving

Calculation:

Let income ratio of A and B = 3x : 7x

And expenditures ratio of A and B = 2y : 5y

According to question,

⇒ 3x - 2y = 5500 -------------(1)

⇒ 7x - 5y = 5500 --------------(2)

From (1) and (2), we get

x = 16500

Income of B = 7x

⇒ 7 × 16500 = 115500

∴ The income of B = 115500

Given: 

Case(1) - Amount = 8330, Time = 2.5 Years

Case(2) - Amount = 10166, Time = 5.5 Years

Formula used:

A = P + SI

SI = (P× r × t)/100

Calculation:

Case (1)- 

⇒ 8330 = P + ( P × r × 2.5)/100

⇒ 8330 = P[1 + (r × 2.5)/100]      ...(i)

Case (2)-

⇒ 10166 = P[1 + (r × 5.5)/100]    ...(ii)

Apply Eqn (i)/(ii)

⇒ 8330/10166 = $\large{\frac{[1 + \frac{2.5× r}{100}]}{[1 + \frac{5.5× r}{100}]}}$  

⇒ 0.8194 [100 + 5.5r] = [100 + 2.5r]

⇒ 81.94 + 4.5r = 100 + 2.5r

⇒ 2r = 18.06

⇒ r = 9%

From eqn (i)

⇒ 8330 = P [100 + 9 × 2.5]/100

⇒ P = 8330 ×100/122.5

⇒P = Rs. 6800 

Now acc. to Question-

R = 2r = 18%, t = 4 Years

SI = (P × R × t)/100

⇒ (6800 ×18 × 4)/100

⇒ Rs 4896  

Alternate Method 

 Calculation:-

∴ S.I. for 2$\large{\frac{1}{2}}$ years = 612 × 2.5 = Rs. 1530

∴ Principal for 2$\large{\frac{1}{2}}$ years = A - SI = 8330 - 1530

Principal(P) = Rs.6800

S.I. for 2$\large{\frac{1}{2}}$ years = 1530 = (6800 × R × 2$\large{\frac{1}{2}}$)/100

∴ R = $\large{\frac{1530 × 200}{6800 × 5}}$

R = 9%

According to question,

T = 4 years, r = 2R = 18%

S.I. = (6800 × 18 × 4)/100

S.I. = Rs.4896

∴ Required S.I. is Rs.4896.

Concept Used:

Calculation:

⇒ \( 2-\left[2 \frac{1}{2} \times\left(-\frac{2}{3}\right)-5\left{\frac{1}{5}-\left(\frac{3}{5}-\frac{7}{10}\right)\right}\right]\)

⇒ \(2-\left[2 \frac{1}{2} \times\left(-\frac{2}{3}\right)-5\left{\frac{1}{5}+\frac{1}{10}\right}\right] \)

⇒ $2-\left[2 \frac{1}{2} \times\left(-\frac{2}{3}\right)-5\times\frac{3}{10}\right]$

⇒ $2-\left[ \frac{5}{2} \times-\frac{2}{3}-5\times\frac{3}{10}\right]$

⇒ $2-\left[ -\frac{10}{6}-\frac{15}{10}\right]$

⇒ 2 + $\frac{190}{60}$

⇒ 310/60

⇒ 5$\large{\frac{1}{6}}$

∴ The correct answer is 5$\large{\frac{1}{6}}$

Given: 

SP = Rs. 870 

Loss = 25%

Formula used:

 $CP = \frac{100}{(100 - Loss\%)}\times SP$

$SP = \frac{(100+Gain\%)}{100}\times CP$

Calculation:

$CP = \frac{100}{(100 - Loss\%)}\times SP$

⇒ $\frac{100}{(100 - 25)}\times 870$

⇒ $\frac{100}{75}\times 870$

CP = Rs.1160

According to the question

New selling price,

$SP = \frac{(100+Gain\%)}{100}\times CP$

⇒ $\frac{(100+25)}{100}\times 1160$

⇒ $\frac{125}{100}\times 1160$

∴ The Sales price of the items is Rs. 1450

Alternate MethodGiven:

SP₁ = Rs. 870

Loss = 25%

Gain = 25%

$SP_2 = \frac{(100+Gain\%)}{(100-Loss\%)}\times SP_1$

⇒ $\frac{(100+25)}{(100-25)}\times 870$

⇒ $\frac{125}{75}\times 870$

∴ The sales price of the items is Rs. 1450

Calculation:

\(\frac{72+\frac{3}{8}\text{of}56-8}{95-\frac{5}{2}\text{of}(25-21)}\)

Concept used:

Follow the BODMAS rule according to the table given below

Solution:

⇒ (72 + 3 × 7 - 8) / (95 - $5\over 2$ of 4)

⇒ (72 + 21 - 8) / (95 - 10)

⇒ 85 / 85

⇒  1

Shortcut Trick

Selling Price (SP) = 614.25 at 25% discount.

Marked Price (MP) = 614.25 ÷ 0.75 = 819.

If no discount, MP becomes SP, and Profit = 17%.

Cost Price (CP) = MP ÷ (1 + Profit%) = 819 ÷ 1.17.

CP = 700.

∴ The correct answer is Rs. 700.

Alternate Method

Given: SP = Rs. 614.25, Discount = 25%, Profit (without discount) = 17%.

Formulas: MP = SP × 100 ÷ (100 − Discount%) | CP = MP × 100 ÷ (100 + Profit%)

⇒ Marked Price (MP) = 614.25 × 100 ÷ (100 − 25) = 614.25 × 100 ÷ 75

⇒ MP = 614.25 ÷ 0.75 = 819

⇒ Since no discount is offered, New SP = MP = 819

⇒ Cost Price (CP) = 819 × 100 ÷ (100 + 17) = 819 × 100 ÷ 117

⇒ CP = 7 × 100 = 700

∴ The correct answer is Rs. 700.

Additional Information

Marked Price & Discount

The Marked Price (MP) is the price listed on the label. Discount is always calculated on the MP. SP = MP − Discount.

Profit without Discount

When no discount is offered, the Selling Price equals the Marked Price. Profit is then (MP − CP) ÷ CP × 100.

Formula used:

Profit = Selling price - Cost price

Profit % = ( Profit / Cost price ) × 100

Calculation:

Let the cost price of the article be = 100

The marked price of the article be = x

According to question, 

⇒  x × (80/100 )] = [ 100 × ( 104/100 )]

⇒ x = 130

When no discount is given, 

Selling price = 130

Profit = selling price - cost price

⇒ 130 - 100 = 30

Profit % = ( 30/100 ) × 100

⇒ 30 %

∴ The cost price will be marked 30% above

Given:

Distance upstream = 33 km

Distance downstream = 21 km

Speed of motorboat = 25 km/h

Speed of stream = 3 km/h

Concept used:

Let the Speed of the motorboat = v

And Speed of stream = u

Time taken by boat upstream and downstream = t

Distance covered by boat downstream = (v + u)t

Distance covered by boat upstream = (v - u)t

Calculation:

let the time taken be t

⇒ v - u = 25 - 3 = 22 km/h

⇒ v + u = 25 + 3 = 28 km/h

According to the question,

⇒ t = 33/(v - u) + 21/(v + u)

⇒ 33/22 + 21/28

⇒ 3/2 + 3/4

⇒ 2.25 h

After converting 0.25 h in minutes,

⇒ t = 2 h 15 min

∴Total time taken by boat is 2 h 15 min.

Shortcut Trick

Use the Successive Multiplicative Factor method: Initial Price × (1 + g₁) × (1 + g₂) × (1 + g₃) = Final Price.

Let the cost of production be P.

P × 1.05 × 1.10 × 1.12 = 1100

P × 1.2936 = 1100

P = 1100 ÷ 1.2936 ≈ 850.34

∴ The correct answer is Rs. 850.

Alternate Method

Given:

Retail Price = Rs. 1,100

Manufacturer Gain = 5%, Wholesale Dealer Gain = 10%, Retailer Gain = 12%

Formula Used:

Final Selling Price = Cost Price × (100 + Gain₁)% × (100 + Gain₂)% × (100 + Gain₃)%

⇒ Let cost of production be P.

⇒ P × (105/100) × (110/100) × (112/100) = 1100

⇒ P × (21/20) × (11/10) × (28/25) = 1100

⇒ P × (21 × 11 × 28) ÷ (20 × 10 × 25) = 1100

⇒ P × 6468 ÷ 5000 = 1100

⇒ P = (1100 × 5000) ÷ 6468

⇒ P = 5500000 ÷ 6468 ≈ 850.34

⇒ Rounding to the nearest integer, P = 850

∴ The correct answer is Rs. 850.

Additional Information

Successive Percentage Change

When a value is changed by a%, then b%, then c% successively, the final value is Initial Value × (1 + a/100) × (1 + b/100) × (1 + c/100).

Cost Price from Selling Price

CP = [SP × 100] ÷ [100 + Gain%]. For multiple stages, this formula is applied backward for each stage.

Effective Gain Percentage

The total effective gain for two successive gains of a% and b% is [a + b + (a × b)/100]%.

Given:

Rate(r₁) = $12{1\over2}$%

Rate(r₂) = $10{1\over2}$%

Time(t) = 1 year

Losses of simple interest yearly =  Rs. 300

Formula used:

Simple interest = (P × R × T) / 100

Calculation:

Let the amount invested by Deepthi be Rs. x.

The rate of interest fall = $12{1\over2}$% – $10{1\over2}$%

⇒  ($25\over2$ – $21\over2$)% = $4\over2$% = 2%

The rate of interest fall = 2%

Simple interest = (P × R × T) / 100

⇒ 300 = $(x× 2× 1)\over100$ 

⇒ 2x = 30000

⇒ x = $30000\over2$ = Rs. 15000

∴ The amount invested by Deepthi is Rs. 15,000.

Shortcut Trick If the rate of interest is fall.

Simple interest = {P × R × (T₁ - T₂)} / 100

⇒ 300 = ${x\times1\times({25\over2} - {21\over2})}\over100$ 

⇒ 300 = $(x× 2× 1)\over100$ 

⇒ x = $30000\over2$ = Rs. 15000

∴ The amount invested by Deepthi is Rs. 15,000.

Formula used:

Average = Sum of all the terms/Total number of terms

Calculation:

Numbers between 13 and 43 which are divisible by 3 are 15, 18, 21, 24, 27, 30, 33, 36, 39, 42.

Average = (15 + 18 + 21 +24 + 27 + 30 + 33 + 36 + 39 + 42)/10

⇒ 285/10

⇒ 28.5 

∴ The correct answer is 28.5.

Given:

Given numbers are 28, 32, and 56

Concept used:

The least number which is exactly divisible by each one of the given numbers is called their LCM.

Calculation:

LCM of 28, 32, and 56

28 = 2 × 2 × 7

32 = 2 × 2 × 2 × 2 × 2

56 =  2 × 2 × 2 × 7

LCM of 28, 32, and 56 =  2 × 2 ×2 × 2 × 2  × 7 = 224

Now,

To make the least perfect square multiply by 2 and 7 then,

⇒ 224 × 2  × 7

∴ The correct answer is 3136

Given:

A reduction of 6$\frac{1}{4}$% in the price of wheat.

Calculation:

Let, The original price (per kg) of wheat =  $Rs. x$

∴ The quantity of wheat in Rs. 150 =  $\frac {150}{x} kg$

After reduction,

The price (per kg) of wheat =  $x -\frac{x× 25}{4× 100}$

⇒ $\frac{15x}{16}$

∴ The quantity of wheat in Rs. 150 =  $\frac {150×16}{15x} kg$ $=\frac {160}{x} kg$

According to the question,

⇒ $\frac {160}{x} - \frac {150}{x} = \frac{1}{2}$

⇒ $\frac{10}{x} =\frac{1}{2}$

⇒ $x= Rs. 20$

The original price (per kg) of wheat = Rs. 20

After reduction, The price (per kg) of wheat = 15 × 20/16 = Rs 18.75

∴ The difference between the original and the reduced rates of wheat. = 20 - 18.75 = 1.25 Rs

Shortcut Trick Let the side of the square be a and the radius of the circle be r. Given: Perimeter of square = 2 × Circumference of circle ⇒ 4a = 2 × (2πr) ⇒ a = πr Area of square = a2 = (πr)2 = π2r2 Area of circle = πr2 = Area of square ÷ π ⇒ Area of circle = 193600 × (7 / 22) = 61600 m2 ∴ The correct answer is 61600 m2. Alternate Method

Area = 193600 Side = a

r = ? Area = ? Perimeter = 2 × Circumference

Given: Area of square field = 193600 m2 Perimeter of square = 2 × Circumference of circular field Formula Used: Area of square = a2 Perimeter of square = 4a Circumference of circle = 2πr Area of circle = πr2 Calculations: ⇒ a2 = 193600 ⇒ a = √193600 = 440 m ⇒ Perimeter of square = 4 × 440 = 1760 m According to the given condition, ⇒ 1760 = 2 × (2πr) ⇒ 1760 = 4 × (22 / 7) × r ⇒ 1760 = (88 / 7) × r ⇒ r = (1760 × 7) ÷ 88 ⇒ r = 20 × 7 = 140 m Now, Area of the circular field = πr2 ⇒ Area = (22 / 7) × 140 × 140 ⇒ Area = 22 × 20 × 140 ⇒ Area = 440 × 140 = 61600 m2 ∴ The correct answer is 61600 m2. Additional Information Perimeter and Area of a Square Area = a2 | Perimeter = 4a | Diagonal = a√2 Circumference and Area of a Circle Area = πr2 | Circumference = 2πr | Diameter = 2r Isoperimetric Inequality For a given perimeter, the circle encloses the maximum area among all closed 2D shapes. If a square and a circle have the same perimeter, Area of Circle > Area of Square.

Given:

A library has an average of 240 visitors on Sundays and 150 visitors on other days. The month starts with Monday and the total number of days in a month is 30 days.

Concept: 

We have a total of 30 days. So total 4 weeks and extra 2 days.

Since the month starts on Monday. So in extra 2 days.

So, there are a total of 4 Sundays in the given month.

Calculation:

As per the question, the total number of Sundays in the given month is 4.

Required Average = (240 × 4 + 150  × 26) / 30

⇒ (240 × 4 + 150  × 26) / 30 = 4860 / 30

⇒ 4860 / 30 = 162

∴ The approximate value of average number of visitors per day is 162.

Given:

The successive discounts are 5%, 10% and 16%

Concept: If there are three successive discounts of a%, b% and c% on MP

SP =  $MP × \frac{(100 - a)}{100}×\frac{(100 - b)}{100}× \frac{(100 - c)}{100}$

Formula used:

SP = MP × (100 - D%)/100

D% = (D/MP) × 100

Calculation:

Let MP be x

SP = x × (100 - 5)/100 × (100 - 10)/100 × (100 - 16)/100

⇒ SP = x × 95/100 × 90/100 × 84/100

⇒ SP = 7182x/10000

Now D = x - (7182x/10000) = 2818x/10000

D% = [(2818/10000)/x] × 100 = 2818/100

⇒ D% = 28.18

Hence, the equivalent discount is 28.18%

Given:

3% of Number = 4% of 12 + 6% of 80

Calculation:

Let the value of the number be x.

3% of Number = 4% of 12 + 6% of 80

⇒ 3% × x = 4% × 12 + 6% × 80

⇒ $3\over100$ × x = $4\over100$ × 12 + $6\over100$ × 80

⇒ 3x = 48 + 480 = 528

⇒ x = $528\over3$ = 176

∴ The number is 176.

Given:

The numbers are 25, 96, 108 and 225  

Calculation:

The prime factorization of the numbers

⇒ 25 = 5²

⇒ 96 = 2⁵ × 3

⇒ 108 = 2² × 3³

⇒ 225 = 3² × 5²

LCM = 2⁵ × 3³ × 5² = 21600

∴ LCM = 21600

Given: 

Madhur Efficiency = 3 × Manisha Efficiency 

Calculation:

Let Manisha complete a work in 3x Days

So Madhur will do same work in x Days

According to Question - 

⇒ 1/3x + 1/x = 1/15 

⇒ (1 + 3)/3x = 1/15

⇒ 3x = 15 × 4 

⇒ x = 20 

∴ Madhur will complete work in 20 Days.

Given:-

A : B : C = (3/4) : (4/5) : (5/8)

A - C = 185

Calculation:-

Let Sum of Rs. be a,

∴ A = 3a/4, B = 4a/5, C = 5a/8

According to ques,

⇒ 3a/4 - 5a/8 = 185

⇒ (6a - 5a) = 185 × 8

⇒ a = 1480

We know that-

⇒ x = 3a/4 + 4a/5 + 5a/8

⇒ x = (3 × 1480)/4 + (4 × 1480)/5 + (5 × 1480)/8

⇒ x = 1110 + 1184 + 925

∴ The correct answer is 3219

Given:

Principal, P₁ = Rs. 725

Principal, P₂ = Rs. 362.50

Time(t₁) = 1 year

Time(t₂) = 4 months = 4 × 1/12 = 1/3 year

Simple interest = Rs. 53.50

Formula used:

Simple interest = (P × R × T) / 100 

Calculation:

Let the original rate be R %.

According to the question

∴ The new rate = 2R %

Total interest of one year.

⇒ SI = ${(P_1× r× t)\over100}+{(P_2× r× t)\over100}$ 

⇒ $({725× R× 1\over100})+({362.50× 2R× 1\over100×3})$ = 53.50

⇒ (2175 + 725)R = 53.50 × 100 × 3

⇒ 2900R = 16050

⇒ R = $16050\over2900$ = 5.5344%

∴ The original rate is 5.53%.

Given:

Ratio of ages of A and B (3 years ago) = 8 : 9

Ratio of ages of A and B (5 years hence) = 10 : 11

C = A - 8 (C is 8 years younger than A)

Calculation:

C = A - 8 ----(1)

Ratio of ages of A and B at present = 8x + 3/9x + 3 = 10x - 5/11x - 5  ----(2)

⇒ 8x + 3/9x + 3 = 10x - 5/11x - 5 

∴ By cross multiplication,

⇒ 88x² - 7x -15 = 90x² -15x -15

⇒ 2x² - 8x = 0

⇒ x(2x - 8) = 0

⇒ x = 0, x = 4 (possible value)

Putting x = 4 in equation (2) we get,

A present age = (8x + 3) = 35 years 

B present age = (9x + 3) = 39 years

From equation (1) we get,

C present age = 27 years

Ratio of present ages of B and C = 39/27 = 13 : 9

∴ The present ratio of B and C is 13 : 9.

Important Points

Ratio of ages of persons remains same at any given year.

Calculation:Ratio of wages = Ratio of efficiency 

According to the question 

The ratio of efficiency of A: B = 7: 1

The ratio of wages of A: B = 7: 1

Daily wages of A and B together = 20,800 ÷ 13 =1600

∴ Daily wages of B = 1600 × (1/8) = 200

Alternate MethodGiven:

A and B worked together and received a salary of Rs. 20,800 for 13 days.

The efficiency of A = 7 times, and the efficiency of B

Formula used: 

Work = Efficiency × Time

Calculation:

A and B worked together for 13 days, the received a salary  =  Rs. 20800

∴ A and B worked together for 1 day, the received a salary =  Rs. 20800/13

⇒ Rs.1600

Now,

According to the question 

A's efficiency in the work was 7 times of B's.

Let,

The efficiency of B = x

The efficiency of A = 7x

Total time is taken by A and B = 7x + x = 8x 

The daily wage of B = $\frac{x}{8x} \times 1600$

⇒ Rs. 200

∴ The required wage for B is Rs. 200.

Shortcut Trick

Relative Speed in same direction = 60 − 24 = 36 km/h.

Convert to m/s: 36 × (5/18) = 10 m/s.

Sum of lengths = Relative Speed × Time.

Sum of lengths = 10 m/s × 30 sec = 300 m.

∴ The correct answer is 300 m.

Alternate Method

Given:

Speed of Train 1 (S₁) = 60 km/h

Speed of Train 2 (S₂) = 24 km/h

Time taken to cross (t) = 30 sec

Formula Used:

Relative Speed (Same Direction) = S₁ − S₂

Distance = Speed × Time

Calculations:

⇒ Relative Speed = 60 − 24 = 36 km/h

⇒ Speed in m/s = 36 × (5/18) = 10 m/s

⇒ Sum of lengths (L₁ + L₂) = Relative Speed × Time

⇒ Sum of lengths = 10 × 30

⇒ Sum of lengths = 300 m

∴ The correct answer is 300 m.

Additional Information

Relative Speed

When two objects move in the same direction, relative speed is S₁ − S₂. In opposite directions, it is S₁ + S₂.

Unit Conversion

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

Train Crossing Concept

When a train crosses another train, the total distance covered is always the sum of the lengths of both trains.

Given:

The area of a rectangular field is equal to the area of a triangular plot whose sides are 64 m, 120 m and 136 m. 

Ratio of the sides of the rectangular field is 5 ∶ 3. 

Concept: 

Area of triangle = (1/2 × base × height)

Perimeter of rectangle = 2 (l + b)

Calculation:

Triangle side ratio = 64 : 120 : 136 = 8 : 15 : 17 

This is a Pythagorean triplet.

So, the area of triangle = (1/2 × 120 × 64) = 3840 m²

The area of the rectangle is 3840 m²

The ratio of the sides of the rectangular field is 5 ∶ 3. 

The side of the rectangle is 5x, 3x

The area of rectangle is 15x²

⇒ 15x² = 3840

⇒ x² = 256

⇒ x = 16

The side of the rectangle is 80, 48.

Perimeter of rectangle = 2 (80 + 48) = 256 m

∴ The perimeter of the rectangle is 256 m.

The correct answer is "tread".

Key Points

• To tread is to place one's foot on something while moving forward.
• Example: The tread was covered by carpet.
• According to the meaning of the given question, She was able to persuade her family that she should depend on her chosen path what she had chosen.
• Therefore, the word "depend" matches with "tread".

Additional Information Let's check the meaning of the other options.

The correct answer is "all the furnitures".

Key Points

• In the given question, the second part is wrong here.
• "All" is a plural term that denotes a variety of things.
• We should use "furniture" after the word "all".

The correct sentence is My friend sold all the furniture he had before leaving the city.

The correct answer is "Pedestrian".

Key Points

• The following sentence's meaning is asking for a person, especially one who does so near a road.
• A pedestrian is someone who prefers to travel on foot to drive a car.
• According to the meaning both are same.

Additional Information Let's see the meaning of the other words.

The correct answer is "Dependable".

Key Points

• Being reliable involves constantly providing goods or services.
• Example: Ram is not a very reliable person.
• On the other hand, a dependable individual is loyal, stable, and provides trustworthy service.
• Example: Lisa needs a dependable worker.

​

Additional InformationLet's see the other meaning.

• Affordable refers to being available for purchase or rental by those with modest incomes.
• Being capable refers to having the abilities (such as physical or mental strength) to do or complete an action.
• The property of being suitable or appropriate for a specific purpose or occasion is referred to as suitability.

The correct answer is "located".

Key Points

• The given sentence is in passive voice.
• Form of "be" verb + past participle is the formula for passive verbs.
• The past participle form of the verb will be used after "is".
• Only option 3) is the correct form of the verb which should be used in the given blank.
• The rest of the options are not the correct forms of verb.

The final sentence is "The head office is located overseas but has branches in many cities in India."

The correct answer is "were loosely plaited".

Key Points

• The fourth and final part of the provided sentence has a grammatical problem.
• However, in English, "hair" is a mass noun (much like "fur" or "grass") and is used with singular verbs as a result.
• "Was" will be used in place of "were".

The correct sentence will be "The young girl’s long black hair that reached her waist was loosely plaited".

The correct answer is "Aristocret".

Key Points

• Aristocrats are people from high social standing families, especially those who have titles.
• According to English grammar, Aristocrat is the correct word.
• Therefore, "Aristocret" is not a correctly spelt word.