SSC GD Constable Previous Year Paper (Held on: 29th November 2021 Shift 3)

The logic here followed is :

Hence, the correct answer is "391".

The logic followed here is:

Logic: Number × (Number + 1) + 1

• 8 : 73 → 8 × (8 + 1) + 1 = 8 × 9 + 1 = 72 + 1 = 73

Similarly,

• 9 : ? → 9 × (9 + 1) + 1 = 9 × 10 + 1 = 90 + 1 = 91

Hence, '91' is the correct answer.

Here the pattern followed in each row is:

(1st number × 2) + (3^rd number ÷ 2) = 2^nd number

Row 1:

(23 × 2) + (34 ÷ 2) = 46 +17 = 63 = Second number

Row 3 :

(27 × 2) + (18 ÷ 2) = 54 + 9 = 63 = Second number

Similarly

Row 2: 

(31 × 2) + (28 ÷ 2) = 62 + 14 = 76 = Second number

Hence, “76” is correct answer.

The logic followed here is:

Hence, '48' is the correct answer.

The image embedded in given figure is as shown below:

Hence, 'option 2' is the correct answer.

Five members, the Director, Producer, Script writer, Choreographer and Set designer, of a film production team are sitting in a row facing towards the north.

1. The Choreographer is not sitting with the Set designer, who is at the left end of the row. 2. ​The Script writer is at the second position from the right.

3. The Script writer is sitting next to the Choreographer. 4. The Director is to the right of the Producer and Set designer.  5. The Director is sitting next to the Producer. 6. The Director and Script writer are sitting together. 

Position in which the Director is sitting: 

1. Between the Scriptwriter and the Set designer → Two persons Producer and Director are sitting between the Scriptwriter and the Set designer.
2. Between the Producer and the Scriptwriter → Director is sitting between the Producer and the Scriptwriter.
3. Between the Set designer and the Choreographer → Three persons Producer, Director and Scriptwriter are sitting between the Set designer and the Choreographer.
4. Between the Producer and the Choreographer → Two persons Director and Scriptwriter are sitting between the Producer and the Choreographer.

Hence, 'option 2' is the correct answer.

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

4. Thorough
5. Thought
6. Throating
7. Thrombocyte
8. Throttlehold

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

The logic followed here is:

• ‘Belgium’ is related to ‘Euro’ → The euro is the official currency of Belgium.

Similarly,

• ‘Slovakia’ is related to ‘________’ →The euro is the official currency of Slovakia.

Hence, 'Euro' is the correct answer.

Here the pattern followed is:

⇒ (25 + 12 + 31) - 17 = 68 -17 = 51

⇒ (19 + 37 + 23) - 21 = 79 -21 = 58

⇒ (24 + 47 + 5) - 35 = 76 - 35 = 41

Similarly, 

⇒ (15 + 39 + 22) - 27 = 76 - 27 = 49.

Hence, “49" is correct answer.

In a festival sale, seven cars of different companies - A, B, C, D, E, F and G - are standing facing west.

1. C, which is fourth to the right of G, is at one end.

2. B is third to the left of C.

3. D is between F and B.

4. A is second to the left of B.

5. E, the only car left will occupy the vacant position.

6. Third to the left of B → E is third to the left of B.

7. Fourth to the left of A → There is no one fourth to the left of A.

8. Second to right of C → There is no one second to right of C.

9. Fifth to the right of G → There is no one fifth to the right of G.

Clearly, third to the left of B is the correct position of E.

Hence, 'Third to the left of B' is the correct answer.

The least possible Venn diagram is:

Conclusions:

I. All curtains are bottles. → Do not follow (As, All bottles are curtains → Some curtains are bottles)

II. Some bottles are woods. → Follow (As, All woods are bottles)

Hence, only conclusion II follows.

Given sequence: _ P _ L I P _ L _ _ N L

1. PNLLI → P P N L - I P L L - L I N L
2. INNIP → I P N L - I P N L - I P N L
3. IPPIP → I P P L - I P P L - I P N L
4. INLII → I P N L - I P L L - I I N L

• In option 2, IPNL is repeated.

Hence, 'INNIP' is the correct answer.

The mirror image of the given combination when the mirror is place at the right side is as shown below :

• The line PQ is the mirror.
• The given letters "HEADLINES" is written as SENILDAEH, exactly reverse of HEADLINES ⇒ Option 1 is eliminated.
• The given numbers "HEADLINES" is written as SENILDEAH, exactly reverse of HEADLINES ⇒ Option 2 is eliminated.
• The given numbers "HEADLINES" is written as HAEDLINES, which is not the correct spelling of HEADLINES ⇒ Option 4 is eliminated.

Hence, 'option 3' is the correct answer.

As 5 is common in 2nd and 3rd dice, keeping it constant and then rotating in clockwise direction, we get the faces opposite to each other:

Clearly, number '3' will be on the face opposite to the one having '1'.

Hence, '3' is the correct answer.

Letters of the word are coded according to the equivalent opposite letter of a particular letter of the word.

 

Similarly,

Hence, 'EVIY' is the correct answer.

The paper when unfolded will appear as shown below:

Hence, 'option 2' is the correct answer.

The logic followed here is:

Similarly,

Hence, 'GBQML' is the correct answer.

The logic followed here is:

Hence, 'ATGO' is the correct answer.

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

Clearly, the woman in the photograph is mother of the man.

Hence, ‘Mother’ is the correct answer

Given equation: 79 ÷ 11 < 18 > (6 > 3) + 9

After replacing the symbols by their meaning, we get:

79 + 11 × 18 ÷ (6 ÷ 3) - 9

= 79 + 11 × 18 ÷ 2 - 9

= 79 + 11 × 9 - 9

= 79 + 99 - 9

= 178 - 9

= 169

Hence, '169' is the correct answer.

The Venn diagram the best represents the relationship between Men, Entrepreneurs, and philanthropists is shown below:

Some men are Entrepreneurs, Some men are philanthropists and some Entrepreneurs are philanthropists.

Hence, 'option 1' is the correct answer.

Vowels are coded as:

The logic followed here is:

 

Similarly,

Hence, '131753182' is the correct answer.

The logic followed here is:

1. QORM → Q - 2 = O; O + 3 = R; R - 5 = M
2. FDGB → F - 2 = D; D + 3 = G; G - 5 =B
3. XVYS → X - 2 = V; V + 3 = Y; Y - 6 = S
4. TRUP → T - 2 = R; R + 3 = U; U - 5 = P

Hence, 'XVYS' is the odd one out.

The logic followed here is:

Similarly,

Hence, 'EJEVDWSV' is the correct answer.

The figure that will replace the question mark (?) in the following figure series is shown below:

As we move along the series, we observe that the figure is rotating in 180° clockwise direction.

Hence, 'option 2' is the correct answer.

The correct answer is Vivad Se Vishwas.

Key Points

• Vivad Se Vishwas was launched to reduce tax litigation.
• The Vivad se Vishwas Scheme has received 15 times better response in comparison to Direct Tax Dispute Resolution Scheme, 2016 (DTDRS).
• Vivad Se Vishwas has settled almost a quarter of the over 5.10 lakh tax disputes, with about ₹97,000 crore worth disputed tax being resolved.
• The Direct Tax Vivad se Vishwas Act, 2020 was enacted on March 17, 2020 to settle direct tax disputes.

Additional Information

• The Union Budget was structured on the overall theme of “Ease of Living".
• The nominal growth rate of GDP is expected to be 10% in 2020-21.
• A total of Rs. 64,180 crores to be spent on healthcare.
• Defense gets Rs 3.37 lakh crore as the defense budget.
• The allocation for higher education is Rs. 39466.52 crores, up from Rs. 38317.01 crore the previous year. As compared to the previous year, there has been a rise of around Rs.1149.51 crore.
• A new scheme named, Education Quality Up-gradation and Inclusion Program (EQUIP), has been envisaged by the Department of Higher Education, MHRD.
• TEQIP, the World Bank assisted Technical Education Quality Improvement Program, has been allocated Rs. 650 crore.

The correct answer is Greg Barclay.

Key Points

• Greg Barclay, the new independent chairman of the International Cricket Council, belongs to New Zealand.
• Greg Barclay has been elected as the new Independent Chair of the International Cricket Council (ICC) and he succeeds Shashank Manohar, who stepped down earlier this year.
• Barclay, an Auckland-based commercial lawyer, has been a director of New Zealand Cricket (NZC) since 2012 and is currently NZC’s representative on the board of the International Cricket Council.
• He will step down from his position at NZC to lead the ICC independently.
• He was a director of the ICC Men's Cricket World Cup 2015 and is a former board member and chairman of the Northern Districts Cricket Association.
• Greg is also an experienced company director holding board positions with various New Zealand and Australian companies.

Additional Information 

• The International Cricket Council
• The ICC is the global governing body for cricket. Representing 108 members, the ICC governs and administrates the game and works with our members to grow the sport.
• The ICC is also responsible for the staging of all ICC events.
• The ICC presides over the ICC Code of Conduct, playing conditions, the Decision Review System, and other ICC regulations.
• The ICC also appoints all match officials that officiate at all sanctioned international matches.
• Through the Anti-Corruption Unit, it coordinates action against corruption and match-fixing.

The correct answer is Lisa Singh.

Key Points

• In September 2020, The Australian government has appointed former cricketer Matthew Hayden and Indian-origin politician Lisa Singh as trade envoys for advancing business ties with India.
• Three new appointments to the board of the Australia-India Council were announced on 31 August 2020.
• Ashok Jacob has been reappointed as chair and will be joined by three new board members.

Additional Information

• Australia:
• Capital - Canberra.
• Currency - Australian dollar.
• Prime minister - Anthony Albanese.
• National Sport - Australian Rules football.

The correct answer is Kerala.

Key Points

• The cotton textiles 'Calico' originated from the present-day state of Kerala.
• Cotton textiles which were taken by Portuguese from Calicut are generally named in Europe as Calico.
• Portuguese first came to India in search of spices and landed in Calicut on the Kerala coast and took back cotton along with spice to Europe.
• The Portuguese came to India in search of Spices.

Additional Information

• Vasco da Gama of Portuguese was the first to discover a sea route from Europe to India in 1498 AD.
• The British East India Company (EIC) came to India in 1608 at the port of Surat.
• Portuguese established their first factory in India at Calicut in 1500 AD.
• This factory was abandoned in 1525 AD due to the opposition of Zamorin of Calicut.
• Portuguese established their second factory at Cochin in 1501 AD.

The correct answer is Khushwant Singh.

Key Points

• Khushwant Singh wrote the book ‘India: An Introduction’.
• Khushwant Singh (born Khushal Singh, 2 February 1915 – 20 March 2014) was an Indian author, lawyer, diplomat, journalist and politician.
• Books by Khushwant Singh
• The Mark of Vishnu and Other Stories, (Short Story) 1950
• The History of Sikhs, 1953
• Train to Pakistan, (Novel) 1956
• Ranjit Singh: The Maharaja of the Punjab, 1963
• Ghadar 1915: India's first armed revolution, 1966
• A Bride for the Sahib and Other Stories, (Short Story) 1967
• The tragedy of Punjab'
• Delhi: A Novel, (Novel) 1990
• Sex, Scotch & Scholarship, 1992 Collection of Writings
• Not a Nice Man to Know: The Best of Khushwant Singh, 1993
• Big Book of Malice, 2000, Collection of Writings
• Death at My Doorstep, 2005
• The Good, The Bad and The Ridiculous
• The Sunset Club, (Novel) 2010

Additional Information

• Lal Krishna Advani is an Indian politician who served as the 7th Deputy Prime Minister of India from 2002 to 2004.
• Jairam Ramesh is an Indian politician belonging to Indian National Congress.
• He is a Member of Parliament representing Karnataka state in the Rajya Sabha.
• Avul Pakir Jainulabdeen Abdul Kalam was an Indian aerospace scientist and statesman who served as the 11th President of India from 2002 to 2007.

The correct answer is Austria.

Key Points

• Dominic Thiem won his first Grand Slam title at the US Open 2020.
• He is an Austrian tennis player.
• He has been ranked as high as world No. 3 in singles by the Association of Tennis Professionals.

Additional Information

The correct answer is viral disease.

Key Points

• Herpes in humans is a viral disease.
• There are eight herpes viruses for which humans are the primary host.
• They are the herpes
• simplex virus 1,
• herpes simplex virus 2,
• varicella-zoster virus,
• Epstein-Barr virus,
• cytomegalovirus,
• Human herpesvirus-6,
• Human herpesvirus-7,
• Kaposi's sarcoma herpes virus.
• Other Viral disease:
• Foot and Mouth Disease (FMD)
• Rabies
• Plague
• Pox
• Influenza

Additional Information

The correct answer is Fundamental Rights.

Key Points

• The Constitution of India lays down rules that guard against the misuse of power by our political leaders.
• Many of these laws are contained in the section on Fundamental Rights.
• The Constitution which lays down the basic structure of a nation's polity is built on the foundations of certain fundamental values.
• The vision of our founding fathers and the aims and objectives which they wanted to achieve through the Constitution are contained in the Preamble, the Fundamental Rights and the Directive Principles.
• These three may be described as the soul of the Constitution and the testament of the founding fathers to the succeeding generations together with the later Part on Fundamental Duties.

Additional Information​ 

• Part III of the Constitution of India deals with Fundamental rights.
• They are a group of rights that have been recognized with a high degree of protection from encroachment.                 
• Right to Equality (Article 14-18)
• Right to Freedom (Article 19-22)
• Right against Exploitation (Article 23-24)
• Right to Freedom of Religion (Article 25-28)
• Cultural and Educational Rights (Article 29-30)
• Right to Constitutional Remedies (Article 32)
• The Fundamental Duties are defined as the moral obligations of all citizens to help promote a spirit of patriotism and to uphold the unity of India.
• These duties set out in Part IV–A of the Constitution, concern individuals and the nation.
• DPSP are ideals that are meant to be kept in mind by the state when it formulates policies and enacts laws

The correct answer is eye.

Key Points

• A mature tropical cyclone is characterised by the strong spirally circulating wind around the centre, called the eye.
• The eye is a region of calm with subsiding air.
• Around the eye is the eye-wall, where there is a strong spiralling ascent of air to the greater height reaching the tropopause.
• The wind reaches maximum velocity in this region, reaching as high as 250 km per hour. Hence statement 2 is not correct.
• Torrential rain occurs here.
• From the eyewall, rain bands may radiate and trains of cumulus and cumulonimbus clouds may drift into the outer region.

Additional Information

• The diameter of the storm over the Bay of Bengal, Arabian Sea, and the Indian ocean is between 600 - 1200 km.
• The system moves slowly about 300 - 500 km per day.
• The cyclone creates storm surges and they inundate the coastal low lands.
• The storm peters out on the land.
• The energy that intensifies the storm, comes from the latent heat released during the condensation process in the towering cumulonimbus clouds.

The correct answer is Baul.

Key Points

• The legendary 'Lalon Fakir' associated with Baul.
• It is a folk music tradition native to the state of West Bengal.
• It has elements of Tantra, Sufism, Vaishnavism, and Buddhism.
• It is not adapted from the Afro-Arab music of Yemen.
• It is practiced by Bauls, a syncretic religious sect of Vaishnavs and Sufis.
• It is part of UNESCO Intangible Cultural Heritage.

Additional Information

• Qawwali is a form of music usually associated with Sufism.
• Sufi music is the devotional music of the Sufis, inspired by the works of Sufi poets, like Rumi, Hafiz, Bulleh Shah, Amir Khusrow and Khwaja Ghulam Farid.
• Qawwali is the best-known form of Sufi music and is most commonly found in the Sufi culture in South Asia.
• Thumri :
• Thumri is a vocal genre or style of Indian music.
• The term "thumri" is derived from the Hindi verb thumakna, which means "to walk with dancing steps so as to make the ankle-bells tinkle."
• A ghazal is mainly a poetic form than a musical form, but it is more song-like than the thumri.

The correct answer is Gautam Buddha attained enlightenment here. 

Key Points

• Bodh Gaya is famous as it is the place where Gautama Buddha is said to have attained Enlightenment under what became known as the Bodhi Tree.
• The Mahabodhi temple in Bodh Gaya.
• The temple has a Bodhi tree, under which he attained enlightenment.
• It is a UNESCO World Heritage Site.
• It is one of the holiest places of Buddhism.

Additional Information

• Birth Place: Lumbini
• First Sermon: Sarnath
• Place of Death: Kushinagar

The correct answer is Rohinton Mistry.

Key Points

• Rohinton Mistry is the author of the book ‘A Fine Balance’.
• " A fine balance" novel was published in the year 1995.
• It was one of the only two books selected for Oprah's book club.
• The book belongs to the Genre of " Historical novel".
• ​His other novels include -
• Such a long journey
• Family matters

Additional Information 

• Shashi Tharoor books: An Era of Darkness, Why I Am a Hindu, The Great Indian Novel, Inglorious Empire, The Paradoxical Prime Minister.
• Jhumpa Lahiri books: The Namesake, The Lowland, Whereabouts, The Clothing of Books.
• Arundhati Roy books: The Algebra of Infinite Justice, The God of Small Things, The Ministry of Utmost Happiness.

The correct answer is Narendra Modi.

Key Points

• The Sardar Patel Zoological Park in Gujarat was inaugurated on the 30th October 2020 by Narendra Modi.
• Modi also inaugurated Sardar Patel Zoological Park, popularly known as Jungle Safari, in Kevadia, Narmada district.
• The park has been set up near the 182-metre Statue of Unity.

Additional Information

• ​Gujarat:
• ​State Animal - Asiatic lion.
• State Bird - Greater flamingo.
• National Parks - Vansda National Park, Blackbuck National Park, Gir Forest National Park, Marine National Park.
• Dams - Sardar Sarovar Dam(Narmada River), Ukai Dam (Tapti River), Dantiwada Dam (Banas River), Kadana dam (Mahi River), Kamleshwar Dam(Hiran River).
• Registered GI: Agates of Cambay, Kutch Embroidery, Patan Patola.

The correct answer is Terrace farming.

Key Points

• Terrace farming  is a method of soil conservation.
• It is a method of soil conservation that is practised on hilly terrain.
• On steep slopes of a hill, broad flat steps or terraces are built so that level surfaces can be used to cultivate crops.
• They reduce surface runoff and soil erosion.

Additional Information

Some other methods of soil conservation are:

• Mulching:
• A covering of organic materials, such as straw, is applied to the bare ground between plants.
• It helps to retain soil moisture.
• Rock dam:
• Rocks are piled up to slow the flow of water.
• This prevents gullies and further soil loss.
• Contour barriers:
• Along contours, stones, grass, and soil are used to create barriers.
• To collect water, trenches are dug in front of the barriers.
• Intercropping:
• Various crops are cultivated in alternate rows and sowed at different times to protect the soil from rainwash.
• Contour ploughing:
• Ploughing parallel to the contours of a hill slope creates a natural barrier for water to flow down the slope.
• Shelterbelts:
• Rows of trees are planted in coastal and dry regions to reduce wind movement and protect soil cover.

The correct answer is Tat.

Key Points

• The Natya Shastra describes stringed instruments as ‘Tat Vadya’.
• The String Instruments are known as Tat Vadya.
• They are the Plucked Stringed Instruments.

Additional Information 

• The Indian Classical Musical system has two major traditions - Hindustani and Carnatic.
• Additionally, there are several other traditions such as folk, tribal, etc.
• The musical instruments of India bring along a rich heritage and form an integral part of the cultural traditions of this country.
• Natya Shastra by Bharat Muni (composed between 200 BC and 200 AD) clubbed musical instruments into four groups:

1. Avanaddha Vadya (membranophones or percussion instruments)
2. Ghan Vadya (idiophones or solid instruments)
3. Sushir Vadya (aerophones or wind instruments)
4. Tat Vadya (chordophones or stringed instruments)

The correct answer is fifth.

Key Points

• As stated by the Minister of State for Finance, Shri. Pankaj Chaudhary, in Lok Sabha on 19 July 2021, India is the fifth largest holder of foreign exchange reserves in the world.
• India has emerged as the fifth-largest foreign exchange reserves holder in the world after China, Japan, Switzerland, and Russia.
• The country's forex reserves stood at around $609 billion on 25 June 2021.
• The country's foreign exchange reserves position is comfortable in terms of import cover of more than 18 months and provides a cushion against unforeseen external shocks.

Additional Information

• In 2020-21, India's balance of payments recorded a surplus in both current account and capital account which contributed to the increase in foreign exchange reserves during the year.
• According to the latest data released by the RBI in August 2021, India has emerged as the fourth-largest foreign exchange reserves holder in the world after China, Japan and Switzerland.
• India's total foreign exchange (Forex) reserves stood at around US$633 billion on 25 August 2021.

The correct answer is 26 November.

Key Points

• Constitution Day is also known as "National Law Day", is celebrated in India on 26 November every year to commemorate the adoption of the Constitution of India, 26 November 1949.
• The Constituent Assembly of India adopted the Constitution of India, and it came into effect on 26 January 1950.
• The Government of India declared 26 November as Constitution Day on 19 November 2015 by a gazette notification.
• The Constitution of India is the supreme law of India.
• The document lays down the framework that demarcates the fundamental political code, structure, procedures, powers, and duties of government institutions and sets out fundamental rights, directive principles, and the duties of citizens.

Additional Information

Important Days Celebrated in India:-

The correct answer is Against the player who hits the ball using the flat side of the stick.

Key Points

• Hockey players can only hit the ball with the flat side of their stick.
• Hence Against the player who hits the ball using the flat side of the stick is NOT considered as a type of foul in the game of hockey.

Additional Information

• A number of different types of foul may be punished in a game of hockey. 
• Obstruction- This is awarded against a hockey player who uses their body or stick to prevent an opponent from reaching the ball.
• Third-party obstruction- This is awarded when a hockey player positions themselves between the ball and an opponent, allowing a team-mate an unobstructed play on the ball.
• Advancing- This is awarded against a player who shoves, pushes, or advances the ball in any way, using any part of their body.
• Backsticks- This is awarded against a player who strikes the ball with the rounded back of the hockey stick.
• Hockey stick interference- This is awarded against a player who uses their stick to hit an opponent’s stick, either intentionally or unintentionally.
• Undercutting- This is awarded against a player who lifts the ball in a dangerous manner.
• Sticks- This is awarded against a player who raises their stick dangerously near another player.

The correct answer is cataract.

Key Points

• In 2020, scientists at the Institute of Nano Science and Technology (INST) developed a simple and economical treatment for cataract using the drug Aspirin.
• The delivery of the aspirin nanorods as eye drops is going to serve as an effective and viable option to treat cataract non-invasively.
• Cataract a major form of blindness that occurs when the structure of crystallin proteins that make up the lens in our eyes deteriorates, causing damaged or disorganised proteins to aggregate and form a milky blue or brown layer, which ultimately affects lens transparency.
• Thus, prevention of the formation of these aggregates as well as their destruction in the early stage of disease progression is a major treatment strategy for cataracts, and materials that can carry out this task could make cataract prevention affordable and accessible.
• Many natural compounds have already been reported as potential aggregation inhibitors for crystallin aggregation, but the utility of nonsteroidal anti-inflammatory drugs (NSAIDs) like aspirin in this direction will open a new paradigm

The correct answer is Outsiders.

Key Points

• The tribals of Chota Nagpur were referred to as the 'Dikus' means Outsiders.
• They see the Dikus in the form of Moneylenders, Zamindars, revenue officials, etc.
• When the use of Money circulated the role of a new group like money lenders came in.
• Tribes viewed these outsiders as oppressors and were against them.
• Tribes attacked police stations and churches and raided the property of moneylenders and Zamindars.
• These revolts over the period forced the colonial government to introduce laws so that the land of the tribals could not be easily taken over by Dikus.

Additional Information

• There are many tribal groups are there in Chota Nagpur.
• Half the tribals belong to six large tribes are Gond, Bhil, Santal, Oraon, Mina, and Munda.
• About a tenth of India's tribals, 3.4 million, reside in Chota Nagpur, and another 1,154,000 in nearby Santal Parganas.

The correct answer is 9 December.

Key Points

• The International Day of Commemoration and Dignity of the Victims of the Crime of Genocide and of the Prevention of this crime is observed annually on 9 December.

Confusion Points

• International Day of Solidarity with the Palestinian People is annually observed on November 29.

Additional InformationImportant Days:

The correct answer is bankruptcy.

Key Points

• When an organisation is unable to honour its financial obligations or make payment to its creditors, it files for bankruptcy in the court.
• Bankruptcy is a situation whereby a court of competent jurisdiction has declared a person or other entity insolvent, having passed appropriate orders to resolve it and protect the rights of the creditors. It is a legal declaration of one’s inability to pay off debts.
• Insolvency is a situation where individuals or companies are unable to repay their outstanding debt.

Additional Information

• The Insolvency and Bankruptcy Code (Amendment) Ordinance, 2020 amends the Insolvency and Bankruptcy Code, 2016.
• Indian Parliament has passed amendments to the insolvency law.
• It will help to safeguard successful bidders of insolvent companies from the risk of criminal proceedings for offences committed by previous promoters.
• The bill intends to remove bottlenecks and streamline the corporate insolvency resolution process.
• It seeks to protect new owners of a loan defaulter company against prosecution for mismanagement of previous owners.

The correct answer is Lithium has a high density.

Key Points

• ​Iodine:
• It is non-metal but it is lustrous having a shining surface.
• Iodine is a mineral that is needed in the diet to make thyroid hormone.
• Carbon:
• Carbon is non-metal that exists in 2 forms and shows allotropism.
• Allotropism is the property of some chemical elements in which the element exists in two different forms in the same physical states and those forms are the allotropes of elements.
• Diamond and graphite are 2 allotropes of carbon.
• Lithium:
• It is metal that is so soft that can be cut with a knife.
• It has a low density and low melting points.
• It is used in rechargeable batteries for mobile phones, laptops, etc
• Sodium
• It is a very high reactive metal. when is it kept in open sodium reacts with oxygen in the air at room temperature, to form, sodium oxide.
• Therefore it catches fire and starts burning when kept in open in the air.
• Hence sodium is kept under kerosene to prevent its reaction with oxygen, moisture and carbon dioxide.

The correct answer is Arunachal Pradesh.

Key Points

• Gorichen Peak is located in Arunachal Pradesh.
• Gorichen is the highest scalable peak in Arunachal Pradesh, towering at a height of over 21,300 ft above sea level.
• The mountain is situated in the Tawang District.
• Gorichen is a glacier-fed mountain group in the Eastern Himalayas.

Additional Information 

The correct answer is Niccola de Conti.

Key Points

• Niccolo Conti visited Vijayanagara in 1420 AD during the reign of Devaraya I.
• Niccolo Conti was an Italian merchant, explorer, and writer. Born in Chioggia, he traveled to India and Southeast Asia, and possibly to Southern China, during the early 15th century.
• The first printed edition of de' Conti's account was made in 1492 in the original Latin by Cristoforo da Bollate and dedicated to Pietro Cara, who was going on a journey to India.

Additional Information

• Vijayanagara Empire: 
• The Vijayanagara Empire was founded by Harihara and Bukka and the reign was from 1336 A.D to 1646 A.D.
• The Vijayanagar empire's capital city was Hampi.
• Vijayanagar Empire was ruled by four important dynasties and they are:
• Sangama.
• Saluva.
• Tuluva.
• Aravidu.

Given:

4 men and 5 women can finish the work in 30 days 

6 men and 7 women can finish the same work in 24 days

Concept Used:

Total number of days × Total number of workers = Total work done

Calculation:

As per the question,

(4M + 5W) × 30 = (6M + 7W) × 24

⇒ (4M + 5W) × 5 = (6M + 7W) × 4

⇒ 20M + 25W = 24M + 28W

⇒ 20M - 24M = 28W - 25W

⇒ 4M + 3W = 0            -----(1)

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According the question 4 men and 5 women can finish the work in 30 days 

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⇒ 4M + 5W = 30         -----(2)

Equation(2) - Equation(1)

(4M + 5W) - (4M  + 3W) = 30 - 0

⇒ 2W = 30

Thus, 2 women can complete the work in 30 days.

⇒ 1 woman can complete the work in (30 × 2) = 60 days

⇒ Time required to complete (2/3)rd work = 60 × (2/3) = 40 days

∴ One woman alone can complete two-third of the work in 40 days.

Important Points 

In some cases, it is possible for the efficiency of workers to be negative. For example, imagine that one person can build a wall in 3 days, and another person can demolish the same wall in 8 days.

The efficiency of the first person will be positive because they are building the wall, while the efficiency of the second person will be negative because they are demolishing the wall.

Given:

The average of four numbers is 10.

The first number is two-third of the second number,

The second number is three fourth of the third number

And the third number is four times the fourth number.

Calculation:

Let the 2nd number be x

So the 1st number = 2x / 3

So the 3rd number is 4x / 3

the fourth number is x / 3

Sum of the four number is 10 × 4 = 40

As per the question,

x + 2x / 3 + 4x / 3 + x / 3 = 40

⇒ 3x + 2x + 4x + x = 120​

⇒ 10x = 120​

⇒ x = 12​

The third term is 4x / 3 = 4 × 12 / 3 

⇒ 48 / 3 = 16

The third term is 16

Given:

Principal = Rs 18000

Rate of interest = (40 / 3)%

Time = 2 ${ {1} \over 4}$ years

Concept used:

The interest is compounded 9- monthly

So the rate of interest should be calculated 9 monthly

Time is 2 ${ {1} \over 4}$ years = 27 months .

The interest is compounded 9- monthly

So the time will be calculated as n = 3 

Formula used:

Amount = P(1+R/100)ⁿ    [P=  Principal , R= rate of interest , n = number of years]

Calculation:

So the rate of interest should be calculated 9 monthly

The rate of interest will be (40 / 3) × 9/12 = 10%

As per the question:

Amount = 18000 (1 + 10 / 100)³

⇒ 18000 × 11/10 × 11/10 × 11 /10

⇒ Rs 23,958

The amount will be Rs 23,958

Shortcut Trick

Directly apply the percentage change to the initial ratio parts:

(x × 120%) ÷ (y × 75%) = 64 ÷ 45

⇒ (x / y) × (120 / 75) = 64 / 45

⇒ x / y = (64 / 45) × (75 / 120)

⇒ x / y = (64 / 45) × (5 / 8) = 8 / 9

∴ The correct answer is 8 : 9.

Alternate Method

Given:

Initial ratio of income of A and B = x : y

Increase in income A = 20%

Decrease in income B = 25%

Final ratio = 64 : 45

Formula Used:

New Value = Original Value × (100 ± Change%)/100

Calculations:

⇒ New Income of A = x + (20/100) × x = 1.2x

⇒ New Income of B = y − (25/100) × y = 0.75y

⇒ According to the condition: (1.2x) / (0.75y) = 64 / 45

⇒ x / y = (64 / 45) × (0.75 / 1.2)

⇒ x / y = (64 / 45) × (3/4 ÷ 6/5)

⇒ x / y = (64 / 45) × (3/4 × 5/6)

⇒ x / y = (64 / 45) × (15 / 24)

⇒ x / y = (64 / 45) × (5 / 8)

⇒ x / y = (8 × 1) / (9 × 1) = 8 / 9

∴ The correct answer is 8 : 9.

Additional Information

Percentage Change Multiplier

To increase a value by r%, multiply by (100 + r)/100. To decrease by r%, multiply by (100 − r)/100.

Ratio Transformation Rule

If an original ratio a : b is modified by factors k₁ and k₂, the resultant ratio is (a × k₁) : (b × k₂).

Fraction Equivalents

Using fractions can speed up calculations: 20% increase = 6/5 and 25% decrease = 3/4.

Given:

By selling four articles for Rs1,680, a person gains the cost price of four articles

Formula used:

Selling price = cost price + Profit

Profit percentage = $\frac{Net\space profit}{Cp}$ × 100

Concept used:

Profit is always calculated on the cost price

Calculation:

Let the cost price of one article is x

so the cost price of 4 articles is 4x

As per the question, profit earned = 4x

So, profit percentage = (4x / 4x) × 100

⇒100% 

So, the profit percentage is 100%

Given:

Nine solid metallic spheres of radius 2.5 cm each are melted and recast into a solid cylinder of height 7.5 cm

Formula used:

The volume of the sphere = 4/3 πr³

The volume of the cylinder = πr²h ( r = radius, h = height)

The curved surface area of the cylinder = 2πrh.

Concept used:

If one shape is melted and recast to another shape total volume will be the same.

Calculation:

Let the radius of the cylinder is r cm

As per the question:

9 × $\frac{4}{3}$ × π  × 2.5³ = π × r² × 7.5 

⇒ r² = 4 ×​ 2.5²

⇒ ​r = √ (4 ×​ 2.5²)

⇒ r = 2 × 2.5

​⇒ ​r = 5

So, the curved surface area will be 2 × π × 5 × 7.5

⇒ 75π cm²

The curved surface area of the cylinder is 75π cm2

Given:

Gita bought 80 oranges at the rate of ₹9.50 per orange.

She sold 25% of these at Rs12 each and one-third of the remaining at Rs10 each.

She has to make an overall profit of 25%

Concept used:

Profit is calculated on the cost price

Formula used:

Selling price = cost price + profit

Profit percentage = (Net profit / cost price) × 100

Calculation:

The total cost price of 80 oranges is 80 × 9.5 = Rs 760

25 % of 80 = 80 × 25 /100 

⇒ 20

The selling price of 20 oranges is (20 × 12) = Rs 240 

Remaining oranges is 80 - 20 = 60

1/3 of the 60 = 60 × 1 /3

⇒ 20

So she sold the next 20 oranges at 20 × 10 = Rs 200

To make a 25% Profit overall selling price is 760 × 125 / 100 = Rs 950

She has to make a profit of 950 - (240 +200) = Rs 510 by selling the remaining (80 - 40) 

⇒ 40 oranges

So the selling price will be 510 / 40 = Rs 12.75

She has to sell for Rs 12.75 to make an overall profit of 25%

Given:

The sum of the ages of A, B, and C is 66 years.

The ratio of the age of A to the combined ages of B and C is 5 : 6.

The ratio of the age of B to the combined ages of A and C is 4 : 7

Calculation:

Let the age of A is 5x, so the age of B + C = 6x

As per the question, 

A + B + C = 66

⇒ 5x + 6x = 66

⇒ 11x = 66

⇒ x = 6

So the age of A = 6 × 5 

⇒ 30 years

Age of B + C =(A + B + C) - (A)

⇒ 66 - 30

⇒ 36 years

In 2nd case,

Let the age of B is 4x, so the age of A + C = 7x

As per the question, 

A + B + C = 66

⇒ 4x + 7x = 66

⇒ 11x = 66

⇒ x = 6

So the age of B = 4 × 6 

⇒ 24 years

As per the question,

B + C = 36 years and age of B = 24 years

So age of C = 36 - 24

⇒ 12 years 

∴The age of C is 12 years

Given: 

Two successive discounts of 40% and 30% 

Formula Used:

Single discount equivalent to two successive discounts of a % and b %

= (a + b - $\frac{a \space \times \space b}{100}$ ) %

Calculation:

Here, a = 40 % , and b =  30 %

So the single discount Nirmala gets, (40 + 30 - $\frac{40 \space \times \space 30}{100}$) %

⇒ (70 - 12) %

⇒ 58 %

The single discount is 58%

Given:

The ratio is 11 : 8 : 5

The third part is Rs 530

Concept used:

Money is distributed as per the ratio

Calculation:

Let the third part be 5x, so 1st part 11x and 2nd part 8x

The sum of the two other part is 11x + 8x = 19x

As per the question,

5x = 530

⇒ x = 530 / 5

​⇒ x = 106

Again,

x = 106

so, 19x = 19 × 106

⇒ 2,014

The sum of the two other parts is 2,014

Calculation:

 ${2{{3} \over 4}\over1{{5} \over 6}}÷ {{7} \over 8}× ({{1} \over 3}+{{1} \over 4})+{{5} \over 7}÷{{3} \over 4} of{{3} \over 7}-{{5} \over 4}of{{3} \over 5}$.

⇒ $\frac{(11/4)}{(11/6)}$÷ $\frac{7}{8}$ × $({{1} \over 3}+{{1} \over 4})+{{5} \over 7}÷{{3} \over 4} of{{3} \over 7}-{{5} \over 4}of{{3} \over 5}$

⇒​ $\frac{6}{4}$ ÷ $\frac{7}{8}$ × ($\frac{7}{12}$)+ ${{5} \over 7}÷{{3} \over 4} of{{3} \over 7}-{{5} \over 4}of{{3} \over 5}$

⇒​ $\frac{6}{4}$ ×  $\frac{8}{7}$ × $\frac{7}{12}$ + $\frac{5}{7}$ × $\frac{4}{3}$ × $\frac{7}{3}$ - $\frac{5}{4}$ × $\frac{3}{5}$

⇒​ 1 + $\frac{20}{9}$ - $\frac{3}{4}$

⇒​ $\frac{36\space +\space 80\space - 27 }{36}$

⇒ $\frac{116\space - \space 27}{36}$

⇒ 89 / 36

⇒ $2{{17} \over 36}$

∴ Ans is $2{{17} \over 36}$

Given:

A and B can complete a piece of work in 12 days and 20 days, respectively.

They work together for 6 days

The remaining work is completed by C in 12 days

Concept used:

Efficiency = (Total work / Total time taken)

Efficiency = work done in a single day                      

Calculation:

Let total work is 60 units ( LCM of 12 and 20)

The efficiency of A = 60 /12

⇒ 5 units

The efficiency of B = 60 / 20

⇒ 3 units

So A + B together do in one day 5 + 3 = 8 units

So they do in 6 days 8 × 6 = 48 units

remaining 60 - 48 = 12 units done by C in 12 days 

So the efficiency of C = 1 unit

The combined efficiency of B + C = 3 + 1

⇒ 4 units 

 ${ {2} \over 3}$ of the same work = (2/3) × 60

⇒ 40 units 

So B + C takes 40 / 4 = 10 days.

In 10 days will B and C together complete 2/3 of the same work.

Additional Information(Efficiency of a Person is inversely proportional to the number of days to complete the work)

Given:

In a college, 80% of students are less than 20 years of age

The number of students more than 20 years of age is ${ {2} \over 3}$ of the number of students 20 years of age which is 48.

Calculation:

Let, the total  number of students by 100 units

So, Less than 20 age = 80 

So, The number of students more than 20 years of age and the number of students 20 years of age will be 100 - 80 = 20 units

The number of students more than 20 years will be = 2/3 × 48

⇒ 32 

So,

The number of students more than 20 years of age and the number of students 20 years of age will be 48 + 32 = 80

As per the question,

Value of 20 units = 80

So the value of 20 × 5 units = 80 × 5

⇒ 400

The total number of students in the college is 400

Given:

A path of uniform width of 5 m runs around the outside of a rectangular field.

The rectangular field is 30 m long and 25 m in breadth.

Concept used:

Area of the road = (Area of the field + area of the road) - Area of the field

Calculation:

As per the question, after the addition of the road 

The length of the path + field is 30 + 5 + 5 = 40 m

After the addition of the road 

The breadth of the path + field is 25 + 5 + 5 = 35 m

Area of the field + area of the path = 40 × 35

⇒ 1400 m2

Area of the field = 30 × 25

⇒ 750 m2

Area of the path = 1400 - 750

⇒ 650 m²

The area (in m2) of the path is 650 m2

Additional InformationThe path is covered from both sides so the length and breadth will be increased from both sides.

Given:

15% of a number exceeds 9% of the same number by 33

Calculation:

Let the number be x

As per the question,

15x / 100 - 9x /100 = 33

⇒ 6x /100 = 33

​⇒ x /100 = 33 / 6

​⇒ x /100 = 5.5

​⇒ x  = 5.5 × 100

​⇒ x  = 550

That number is 550

Shortcut Trick Let the number be 100 units

So 15 units - 9 units  = 33

⇒ 1unit = 5.5

⇒ 100 units = 550

Given:

A shopkeeper marked an item at Rs 4,000.

He earns a profit of 20% after selling it with a 10% discount on the marked price.

He sells it at a price of Rs100 less than the marked price.

Formula used:

Selling Price (Sp) = Cp + ($\frac{Profit}{100}$) × Cp

Market Price (Mp) - Discount = Sp

Cp = ($\frac{100}{100\space+\space profit\space Percent}$) × Sp

Calculation:

The Sp of the article = 4000 × 90 /100

⇒ Rs 3600

He earns a profit of 20 % 

So the Cp of the article = 3600 × 100 /120

⇒ Rs 3000

If he sells it at a price of ₹100 less than the marked price, then sp will be (4000 - 100) = 3900

Profit will be 3900 - 3000 = 900

So the profit percentage will be (900 / 3000) × 100 = 30%

∴ His profit percentage will be 30

Additional Information 

Profit is calculated on Cost Price.

And Discount is calculated on Market Price.

Given:

Find the largest number which can exactly divide 228, 282 and 288

Concept used;

To find the largest number which can exactly divide 228, 282 and 288,

We have to find the HCF of 228, 282 and 288

Calculation:

228 = 2 × 3 × 38

282 = 2 × 3 × 47

288 = 2 × 3 × 48

HCF of 228, 282 and 288 = 2 × 3 

⇒ 6 

The largest number which can exactly divide 228, 282 and 288 is 6

Given:

A lent Rs10,000 to B for 3 years on compound interest at 10% per annum compounded annually.

 C lent the same amount for the same period to D at 11% simple interest.

Formula used:

Simple Interest (SI) = [Principal (P) ×  Rate of interest (R)  × Time(T)] / 100

Compound interest =  P(1+R/100)ⁿ - P [P=  Principal , R= rate of interest]

Amount = Principal + Interest

Calculation:

After 3 years in compound interest, A earned

10000 ( 1 + 10/100)³ - 10000

⇒ 13310 - 10000 

⇒ Rs 3310

After 3 years in simple interest C earned,

(10000 × 11 × 3) / 100

⇒ Rs 3300

So A earned Rs (3310 - 3300) = Rs 10 more.

A gained Rs10 more.

Given: 

3 × 2 ÷ 3 of 2 × 3 ÷ (5 + 5 × 5 ÷ 5 of 5 - 5 ÷ 10 of ${ {1} \over 5}$) + 2 ÷ 7 of 2

Concept used:

BODMAS rule

Calculation:

3 × 2 ÷ 3 of 2 × 3 ÷ (5 + 5 × 5 ÷ 5 of 5 - 5 ÷ 10 of ${ {1} \over 5}$) + 2 ÷ 7 of 2

⇒ 3 × 2 ÷ 3 of 2 × 3 ÷ (5 + 5 × 5 ÷ 5 of 5 - 5 ÷ 10 × 1/5) + 2 ÷ 7 of 2

​⇒ 3 × 2 ÷ 3 of 2 × 3 ÷ (5 + 5 × 5 ÷ 5 of 5 - 5 ÷ 2) + 2 ÷ 7 of 2

​⇒ 3 × 2 ÷ 3 of 2 × 3 ÷ (5 + $\frac{5\space × \space 5}{5\space × \space 5}$ - 5 /2) + 2 ÷ 7 of 2

​⇒ 3 × 2 ÷ 3 of 2 × 3 ÷ (5 + 1 - 5 /2) + 2 ÷ 7 of 2

​⇒ 3 × 2 ÷ 3 of 2 × 3 ÷ (6 - 5 /2) + 2 ÷ 7 of 2

​⇒  3 × 2 ÷ 3 of 2 × 3 ÷ (7 / 2) + 2 ÷ 7 of 2

​⇒ 6 ÷ 3 of 2 × 3 ÷ 7 / 2 + $\frac{2}{7× 2}$

​⇒ $\frac{6}{3×2}$× 3 ÷ 7 / 2 + 1 / 7

​⇒  3 ÷ 7 / 2 + 1 / 7

⇒ 3 ×  2 / 7 + 1 / 7

⇒ 6 / 7 + 1 / 7 

⇒ 1

The value is 1

Given:

A certain sum amounts to ₹14,160 in 3 years at 6% per annum, at simple interest.

Formula used:

Simple Interest (SI) = [Principal (P) ×  Rate of interest (R)  × Time(T)] /100

Concept used:

Amount = Principal + Interest

Calculation:

Let the principal be P

As per the question,

14,160 - P = (P × 6 × 3 / 100)

⇒ P + (18P / 100) = 14,160

⇒ 118P / 100 = 14,160

⇒ P = 14,160 × 100 / 118

⇒ P = Rs 12000

In 2nd case, the simple interest will be 

 $\frac{12000\space \times \space 6 \space \times \space 14}{3\space \times 100}$

⇒ 240 × 14

⇒ Rs 3360

The simple interest will be Rs 3,360

Given:

A car covers a distance of 150 km at a uniform speed.

The time taken for the journey is two-third of the speed in km/h, in terms of numerical values

Concept used:

Distance = speed × time

Calculation:

Let the speed of the car is x km/h

So time taken by the car is 2x / 3 hr

As per the question,

x × 2x / 3 = 150

⇒ 2x² = 150 × 3

⇒ x2 = 150 × 3 / 2 

⇒ x2 = 225

⇒ x = √225

⇒ x = 15

Time taken,

2x / 3 = 2 × 15 /3

⇒ 10 hr

The time taken to cover the distance of 150 km is 10 hrs

Given:

The speed of a train was increasing by 3 km/h after every one hour for up to 10 hours.

After 10 hrs it was increasing by 5 km/h.

The distance traveled in the first one hour was 40 km.

Concept used:

Distance = speed × time

Calculation:

For first 1 hour speed is 40 km/h.

The speed of a train was increasing by 3 km/h after every one hour .

So for the next nine hours speed will be 43,46,49,52,55,58,61,64,and 67

Total distance covered in 1st 10 hours = 43 + 46 + 49 + 52 + 55 + 58 + 61 + 64 + 67 = 535 km

So for the next 10 hours speed will be 72 ,77,82,87, 92,97,102,107,112,117

The total distance covered in next 10 hrs will be 72 + 77 + 82 + 87 + 92 + 97 + 102 + 107 + 112 + 117 = 945 km

So total distance covered in 20 hrs will be 945 + 535 = 1480 km

The total distance covered by the train in 20 hours is 1480 km

Alternate Method Given:

The speed of a train was increasing by 3 km/h after every hour for up to 10 hours.

After 10 hrs it was increasing by 5 km/h.

The distance traveled in the first hour was 40 km.

Concept used:

In an A.P series if the first term = a and the last term = l  

The total number of terms = n,

Then, the sum of the series will be n / 2 (a + l)

Calculation:

The distance traveled in the first one hour was 40 km.

We can find that the series is in A.P

First term (a) = 40 and 10th term = 67

Number of terms = 10

So, sum of the series = 10 / 2 (40 + 67)

⇒ 5 × 107

⇒ 535

Again for 2nd case, it is also an A.P series 

First term (a) = 72 and 10th term = 117

Number of terms = 10

So, sum of the series = 10 / 2 (72 + 117)

⇒ 5 × 189

⇒ 945

So total distance covered in 20 hrs will be 945 + 535 = 1480 km

The total distance covered by the train in 20 hours is 1480 km

Given: 

A person wanted to sell his watch initially at a 10% discount to his sister who wants to buy that watch. 

Later, the person sells it at a 12% discount

Having, Rs 80 less in his profit.

Concept used:

Discount is calculated on market price.

Calculation:

Let the market price be 100

So the initial discount is Rs 10

Ultimate discount is 100 × 12 /100 = Rs 12

So difference is Rs (12 - 10) =  2

As per the question,

Value of 2 units = 80

So the value of 100 units = (80 / 2) × 100

⇒ Rs 4000

The market price of the watch is Rs 4000

Shortcut TrickThe difference between 12% - 10% = 2 % 

As per the question 2% = 80

So 100 % = 4000

The market price of the watch is Rs 4000

Given:

k is the smallest number of 5-digits when divided by 18, 24, 30, 40, and 42, leaves a remainder of 7 in each case.

Concept used:

The smallest number of 5-digits is 10000.

Calculation:

we have to divide the number by 18, 24, 30, 40, and 42

So the number should be divided by the LCM of 18, 24, 30, 40, and 42

LCM of 18, 24, 30, 40, and 42 = 5040

Now if we divide 10000 by 5040 the remainder will be 4960

So the smallest number of 5 digits which is divided by 18, 24, 30, 40, and 42 will be

10000 + (5040 - 4960) = 10080

So the smallest number of 5 digits which when divided by 18, 24, 30, 40, and 42 leaves 7 as a reminder will be 

10080 + 7 = 10087

The sum of the digits of 10087 will be 1 + 0 + 0 + 8 + 7 = 16

The sum of the digits of k is 16

Additional InformationIf we subtract 5040 - 4960 = 80 from 10000,  the number will be 9920 which is 4 digits. Here the number has to be 5 digits.

Given:

The average of six consecutive even numbers, taken in increasing order, is 107

Concept used:

In a series of even numbers, the mean or average is the average of the middle two terms.

Calculation:

 the series of 6 even numbers is = 2n , 2n + 2 , 2n + 4 , 2n + 6 , 2n + 8 and 2n + 10

Again, as per the question 

$\frac{(2n\space +\space 4)\space+\space (2n\space +\space 6)}{2}$ = 107

⇒ 2n + 4 + 2n + 6 = 107 × 2

⇒ 4n +10 = 214

⇒ 4n = 214 - 10

⇒ 4n = 204

⇒ n = 204 / 4

⇒ n = 51

Average of last three number = (6n + 24) / 3 

⇒ 2n + 8 

Average of last three number = 2 × 51 + 8 

⇒ 110

Average of the last three numbers = 110

Shortcut Trick Here average is given as 107.

So, The middle two terms are 107 - 1 = 106 and

107 + 1 = 108

Then the series of 6 even numbers is = 102, 104,106,108, 110, 112

The last three numbers are 108,110, 112

Average of the last three numbers = 110

Average of the last three numbers = 110

Additional Information 2n is always an even number for all values of n.

The erroneous part is 'tougher'.

Key Points

• The given sentence is grammatically incorrect.
• The error lies in 'tougher' part of the sentence.
• Here, extremely is the adverb form of the adjective extreme which means of the highest degree or intensity.
• So, instead of 'tougher' we will use 'tough' after extremely.
• Thus, the correct answer is option 1.

Correct Sentence: The Hindi question paper was extremely tough for 7th-grade students.

The correct answer is 'to fail to maintain the pace or progress'.

Key Points

• The given idiom 'To lag behind' means to achieve less than someone or something else, to fail to maintain the pace or progress of someone or something.
• Example: Shyam was lagging behind in the 100-meter race.
• Thus, from the given meaning of the idiom and the example sentence, we are clear that the given idiom means to fail to maintain the pace or progress.
• Therefore,  the correct answer is option 1.

The erroneous spelling is 'Successfull'.

Key Points

• The correct spelling of the given word is 'Successful'.
• Successful means achieving or having achieved success.
• In this we have to choose that option having the erroneous spelling.
• As all other options have correct spelling except for option 1.
• Therefore, the correct answer is option 1.

The correct answer is 'Coast'.

Key Points

• The one word substitute for 'land beside a sea' is :
• Island: a piece of land completely surrounded by water.
• Coast: the part of the land adjoining or near the sea.
• Archipelago: a group of islands and the sea around them.
• Peninsula:  a long piece of land that sticks out from a larger area of land into the sea.
• Therefore, as per the meaning of all the options, it is clear that the one-word substitute for the given group of words is 'coast'.
• The correct answer is option 2.

The correct answer is 'homogenous'.

Key Points

• Let us explore the given options for choosing the exact one word for the given group of words:
• Balanced: it has equal proportions or a stable sense of balance.
• Pleasant: having qualities that tend to give pleasure.
• Homogeneous: Something that is homogeneous is uniform in nature or of the same or a similar kind or nature .
• Harmonious: friendly, peaceful, and without disagreement.
• From the given options**, 'homogenous'** is the most appropriate one word for the given group of words.
• Thus, the correct answer is option 3.

The erroneous part is 'is arrived'.

Key Points

• In this question, we need to choose an appropriate option to substitute the underlined segment in the given sentence.
• The erroneous part is 'is arrived'.
• The given sentence is in Simple Future tense because of the structure : Subject + Will + Verb .
• Therefore we will not use 'is arrived' in the above structure .
• We will substitute it with 'arrives' for making the sentence error free and contextually correct.
• Therefore, the correct answer is option 3.

The correct answer is "Aluminiem". 

Key Points

• Aluminiem: This word is spelled incorrectly.
• The correct spelling is "Aluminium".
• The incorrect "i" before "e" and the incorrect "e" at the end make this word stand out as the incorrect spelling.

Therefore, the correct answer is "Option 1". 

Additional Information

• Manufacturing: This word is spelled correctly.
• "Manufacturing" is the correct spelling for this term, which refers to the process of producing goods.
• Excretory: This word is also spelled correctly.
• "Excretory" pertains to the biological removal of waste products in animals, including humans.
• Resistivity: This word is spelled correctly.
• "Resistivity" is a property of material that quantifies how strongly it resists the flow of electric current.

The correct answer is 'Significant'.

Key Points 

• The given sentence is having a blank where we need to choose an appropriate word from the given options :
• Significant : important or large enough to be noticed.
• Inspiring:  causing you to feel confident about yourself or eager to learn or do something.
• Sufficient: adequate for the purpose.
• Refreshing: giving new strength and energy.
• From the above-given meanings, it is clear to us that the most appropriate word is 'significant'.
• Thus, the correct answer is option 1.

The correct answer is 'Unrelated'.

Key Points

• The given word 'contextual' means related to the context of something.
• Example:  Contextual clues can help one to find the meaning.
• The marked word 'unrelated' means not related to something else; not connected.
• From the above-given meanings of both words, we are sure that 'contextual' and 'unrelated' are antonyms of each other.
• Thus, the correct answer is option 2.

The correct answer is 'Restoration' .

Key Points

• The given blank requires an appropriate word from the given options.
• Let us explore the meanings of the given options:
• Renovation means the act or process of repairing and improving something.
• Redecoration means refurbishing, to change its appearance.
• Restoration means the act of restoring to its original condition; renewal, and revival; the things that are done to achieve this.
• Reconstruction means the act or process of rebuilding, repairing, or restoring something.
• Thus, from the given meanings, it is clear that the most appropriate word is 'restoration' .
• Hence, the correct answer is option 3.