SSC GD Constable Previous Year Paper (Held on: 8th December 2021 Shift 3)

The logic followed here is :-

MELON is written as TCSKU.

And

CHAMP is written as JFHIW.

Similarly,

FAMISH will be written as :

Hence, the correct answer is "MYTEZB".

Given,

The number is added to thrice its preceding number.

Let us consider number = X

The other number is = 3(X - 1)

The sum of these two numbers is divided by 5, 13

⇒ (X + 3(X - 1) ) ÷ 5 × 13 = 1

⇒ X + 3X - 3 = 65

⇒ 4X - 3 = 65

⇒ 4X = 68

⇒ X = 17

Hence, the correct answer is "17".

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

• All fathers are Men.
• Some Doctors are fathers.
• Some Men are Doctors.

 

Hence, the correct answer is "Option 1".

Given,

Total number of students in class = 30

 Aaditya is at 11th rank in merit order from the top.

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The Rank of Aaditya from bottom = Number of students in class - Aaditya rank from top + 1

The Rank of Aaditya from bottom = 30 - 11 + 1

The Rank of Aaditya from bottom = 31 - 11

The Rank of Aaditya from bottom = 20

∴ Here, the Rank of Aaditya from bottom is 20^th.

Hence, the correct answer is "20^th".

The logic followed here is :-

1) BDHN

 

2) ZAEJ

 

3) WYCI

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4) HJNT

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

Hence, the correct answer is "ZAEJ".

The logic followed here is :-

∴ Here, '730' does not belong to the following series.

Hence, the correct answer is "730".

The logic followed here is :-

The first and third letter is added with +10.

The second and fourth letter is subtracted with -4.

FELT : PAVP

 

Similarly,

SACK : ? 

Hence, the correct answer is "CWMG".

The logic followed here is:-

Hence, the correct answer is "235".

Given :- Q _ T J _ Q R _ J C _ R T _ C Q _ T _ C

By checking options and substituting accordingly.

1) R C J Q J R R → Q R T J C - Q R J J C - Q R T J C - Q R T R C

2) R C Q T J R J → Q R T J C - Q R Q J C - T R T J C - Q R T J C

3) R C T Q J R J → Q R T J C - Q R T J C - Q R T J C - Q R T J C

• Here "QRTJC" is repeated.

4) C R T Q J R J → Q C T J R - Q R T J C - Q R T J C - Q R T J C

• Option (3) gives the pattern of :- Q R T J C - Q R T J C - Q R T J C - Q R T J C

Hence, the correct answer is "R C T Q J R J".

The logic followed here is :-

Hot is antonym of Cold.

Similarly,

Heavy is antonym of 'Light'.

Hence, the correct answer is "Light".

The logic followed here is:-

Hence, the correct answer is "IL".

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

 

Detailed Explanation:

• The line PQ is the mirror.
• The word "SHOPPAN" ends with letter 'N'. so, the mirror should be "

" ⇒ Option 1, 3 and 4 are eliminated.

Hence, the correct answer is "Option 2".

The figure embedded in the given options is as shown below :

Hence, the correct answer is "Option 4".

There are eight friends, namely A, B, C, D, E, F, G and H, sitting around a circular table facing the centre but not necessarily in the same order. 

1) D is third to the left of G and there are only two persons between A and D.

2)  F, is the immediate neighbour of D and C is second to the right of A.

3) B is third to the left of F and E and G are immediate neighbours, while H and F are also immediate neighbours.

∴ Here, there are 'Two' persons sitting between B and G in clockwise direction.

Hence, the correct answer is "Two".

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

• The 2 is rotated 90⁰ clockwise and moves one step clockwise.
• The oval which is darken at one side is rotated 90⁰ anti-clockwise and moves one step anti-clockwise.

Hence, the correct answer is "Option 1".

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

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Conclusions:

I. All wools are soft → False (As All fabrics are soft and Some wools are fabrics so, All wools are soft is false)

II. Some wools are soft → True (As All fabrics are soft and Some wools are fabrics so, Some wools are soft is true)

∴ Here, Only conclusion II is true.

Hence, the correct answer is "Only conclusion II follows".

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

Hence, the correct answer is "Option 1".

The logic followed here is:

The opposite surface of the open dice can be found by the below method:-

• Alternate surfaces are opposite to each other.
• No two opposite surfaces are touched by side or by corners

So, by using the above rule we can find the opposite surface of open dice.

In the given figure, Opposite faces are :

∴ Here, 'T' cannot be adjacent face of 'R'.

Hence, the correct answer is "T".

The logic followed here is :-

(First number - 2)^1/2 = Second number

• 38 : 6 → (38 - 2)^1/2 = 36^1/2 = 6
• 83 : ? → (83 - 2)^1/2 = 81^1/2 = 9

Hence, the correct answer is "9".

The logic followed here is :-

By using BODMAS RULE :

Given expression is : 105 J 29 H 96 Y 16 D 84 

After replacing operators in place of alphabets the expression is as follows : 105 - 29 × 96 ÷ 16 + 84

= 105 - 29 × 96 ÷ 16 + 84

= 105 - 29 × 6 + 84

= 105 - 174 + 84

= 189 - 174

= 15

Hence, the correct answer is "15".

The logic followed here is :-

∴ Here, 'PAPER' is coded as 'JH'.

Hence, the correct answer is "JH".

Family chart :-

Family Tree :

1) Megha and Shreya are the daughters of Rakesh, who is married to Anjali.

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2) Monu is married to Shreya and Abhay is the son of Monu.

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3) Nikunj is the son of Anjali.

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∴ Here, Abhay is 'Grandson' of Rakesh.

Hence, the correct answer is "Grandson".

The logic followed here is :-

In a column, (First number + Last number) × 2 = Middle number.

Column 1) : 

= (16 + 13) × 2

= 29 × 2

= 58

Column 2) :

= (14 + 8) × 2

= 22 × 2 

= 44

Column 3) :

= (18 + 4) × 2

= 22 × 2

= 44

Hence, the correct answer is "44".

The logic followed here is :-

First and last letter is multiplied with × 2.

Second and third letters remains same.

RAMP is coded as 3611332.

Similarly,

DELL will be coded as :

Hence, the correct answer is "851224".

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

5. Prejudice
6. Priceless
7. Priority
8. Prison
9. Pristine

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

The correct answer is  19 November.

Key Points

• The United Nations marks 19 November annually as World Toilet Day.
• The day is about inspiring action to tackle the global sanitation crisis.
• World Toilet Day was established by the World Toilet Organisation in 2001.

Additional Information

Important Days-

The correct answer is Tokyo.

Key Points

• The 2020 summer Olympics is an international sports event that was held from 23 July to 8 August 2021, in the city of Tokyo, Japan.
• As the name suggests, this summer Olympics were originally intended to be held from 24 July to 9 August 2020, but due to the ongoing Covid-19 Pandemic, Tokyo 2020 Olympics was postponed.
• The name ‘Tokyo 2020’ is not changed to ‘Tokyo 2021’ because of marketing and branding reasons.
• This is also the first time in history when an Olympic games event is postponed instead of being cancelled.
• The motto of summer Olympic 2020 is Faster, Higher, Stronger– Together.

Additional Information

• Six new sports are added at the Tokyo summer Olympics 2020- baseball, softball, karate, skateboarding, sport climbing, and surfing.
• Six-time world champion boxer MC Mary Kom and men’s hockey team skipper Manpreet Singh were the country’s flag bearers at the opening ceremony of the Tokyo Olympics.
• The name of the 2020 Summer Olympics Mascot is Miraitowa.
• It is derived from the Japanese words Mirai (future) and Towa (eternity).
• The mascot embodies both the old and the new, echoing the concept of "innovation from harmony".
• The Mascot was created by Ryo Taniguchi.
• Tokyo has hosted the Summer Olympic Games in 1964 thereby becoming the first Asian city to host Summer Olympics twice.

The correct answer is Market Equilibrium.

Key Points

• Market Equilibrium is defined as 'the point where supply equals demand for a product with equilibrium price'.
• The equilibrium price is the price of a good or service when the supply of it is equal to the demand for it in the market.
• Thus the market equilibrium for a commodity is determined by balancing the forces of demand and supply for the commodity.

Additional Information

• The demand curve for unitary elastic demand is a rectangular hyperbola.
• When the proportionate change in demand produces the same change in the price of the product the demand is referred to as unitary elastic demand.
• The elasticity of a unitary elastic demand is 1.
• The supply curve is the positive relationship between the quantity supplied of goods and their price, keeping other factors constant.
• Whenever there is a change in the price of goods, there is a movement along the supply curve. due to a change in the supply of goods.

The correct answer is Shah Jahan.

Key Points

• Shah Jahan commissioned the construction of Red Fort in Delhi.
• The Mughal Emperors' primary residence was the Red Fort, also known as Lal Qila, in Old Delhi, Delhi, India.
• When Shah Jahan chose to move his capital from Agra to Delhi on May 12, 1638, he ordered the Red Fort's construction.
• Its original colours were red and white, and architect Ustad Ahmad Lahori, who also built the Taj Mahal, is credited with creating it.

Additional Information

The correct answer is Russian President Vladimir Putin.

Key Points

• The 12th BRICS (Brazil, Russia, India, China and South Africa) Summit was organised virtually under the Chairmanship of Russian President Vladimir Putin.
• BRICS Summit, 2020 will be hosted by Russia. It will be the 12th summit of BRICS.
• BRICS is the acronym coined for an association of five major emerging national economies: Brazil, Russia, India, China, and South Africa.
• Since 2009, the BRICS nations have met annually at formal summits.
• Brazil hosted the most recent 11th BRICS summit on 13-14 November 2019.
• The term "BRIC" was coined in 2001 by then-chairman of Goldman Sachs Asset Management, Jim O'Neill.
• South Africa is the most recent partner in the group.

Additional Information

• BRICS is an acronym for Brazil, Russia, India, China, and South Africa.
• BRICS accounts for about 40% of the world’s population and about 30% of the GDP.
• BRICS countries are believed to be the future dominant suppliers of manufactured goods, services, and raw materials by 2050.
• The headquarters of the BRICS is in Shanghai.

The correct answer is Appu - baby elephant.

Key Points

• The first Asian Games to introduce a mascot was New Delhi 1982.
• The first mascot is Appu, an elephant, was chosen.
• The first-ever Asian Games were held in New Delhi in 1951.
• Asian Games were regulated by the Asian Games Federation from 1951 to 1978.
• Since 1982, the Olympic Council of Asia regulates the Asian Games.

Additional Information

• Smart Triplets is the collective name of official mascots of the 19th Asian Games, Hangzhou in 2022.
• Individually, they are called-Congcong, Lianlian and Chenchen. The names are the UNESCO World Heritage sites of Hangzhou in eastern China.

The correct answer is Arunachal Pradesh.

Key Points

• The Buddhist festival 'Songkran' is celebrated mainly in  Arunachal Pradesh.
• This Buddhist festival is observed as a spring cleaning.
• It is celebrated for several days during the middle of April, people clean their houses wash clothes and enjoy sprinkling perfumed water on the monks.

Additional Information

• Most popular festivals celebrated in Arunachal Pradesh:
• Siang River Festival
• Pangsau Pass Winter Festival
• Ziro Festival of Music
• Solung
• Nyokum
• Losar Festival
• Dree Festival
• Boori Boot
• Loku
• Sanken

The correct answer is Rajgir.

Key Points

• The 50th anniversary of Vishwa Shanti Stupa located in Rajgir was celebrated in 2019.
• The Vishwa Shanti Stupa is located in Rajgir, Bihar on a 400 m high Ratnagiri hill. It is also known as Peace Pagoda.
• The Stupa is built of marbles and has 4 statues of Buddha on the 4 corners of the Stupa representing his life periods of birth, enlightenment, preaching and death. There is also a ropeway to reach the top of the hill.
• There are total 7 Peace Pagodas or Shanti Stupa in India.
• These stupas were conceptualised by a Buddhist monk and built by a Japanese monk Fujii Guruji.

Additional Information

• The following are stupas in the world:
• Sanchi Stupa - India
• Ruwanwelisaya – Sri Lanka
• Boudhanath Stupa - Nepal
• Swayambhunath Stupa – Nepal
• Borobudur – Java
• The One Hundred and Eight Stupas – China
• Kyaiktiyo Pagoda – (Golden Rock Stupa) – Myanmar
• Benalmadena Stupa - Spain
• The Great Stupa of Dharmakaya Which Liberates Upon Seeing – USA
• The Great Stupa of Universal Compassion – Australia

The correct answer is Himachal Pradesh.

Key Points

• Himachal Pradesh won the first prize under the E-Panchayat Award of 2020 in category-1.
• Himachal Pradesh state Panchayati raj department wins 1st prize under e-Panchayat Puraskar-2020.
• This prize was given by the Union Ministry of Panchayati Raj.
• All the 3,226 panchayats of the state have been provided internet facility and people can access various services online.
• The various services such as family register, registration of birth, death and marriages are registered online in the panchayats.
• Himachal Pradesh has been selected for this award for effective implementation of an e-application developed by the Centre.

Additional Information

• Himachal Pradesh:
• Number of Districts - 12.
• Lok Sabha seats - 4.
• Rajya Sabha seats - 3.
• National Parks - Great Himalayan National Park, Pin Valley National Park, Inderkilla National Park, Khirganga National Park and Simbalbara National Park.
• Registered GI: Kangra Paintings, Kullu Shawl, Chamba Rumal.

The correct answer is martial Law.

Key Points

• A system of rules that takes effect when a military authority takes control of the normal administration of justice is called martial Law.
• Martial law is the imposition of direct military control of normal civilian functions of govt.
• It especially in response to a temporary emergency such as invasion or major disaster, or in an occupied territory
• It can be used by governments to enforce their rule over the public

Additional Information

• A monarchy is a form of government in which a person, the monarch, is head of state for life or until abdication.
• The meaning of COUP is a sudden decisive exercise of force in politics and especially the violent overthrow or alteration of an existing government.
• A dictatorship is a form of government characterized by an unelected leader or group of leaders that hold government power with few to no limitations.

The correct answer is Article 51.

Key Points

• Article 51 of the Indian constitution states that-
• For the Promotion of international peace and security, The State shall endeavor to

1. ​​Promote international peace and security;
2. Maintain just and honorable relations between nations;

• Foster respect for international law and treaty obligations in the dealings of organized people with one another; and encourage settlement of international disputes by arbitration.

Additional Information

• Article 50 of the Indian constitution deals with the separation of the judiciary from the executive.
• Article 40 of the Indian constitution deals with the  organisation of village panchayat.
• It states that
• The State shall take steps to organize village panchayats.
• It also endows them with such powers and authority that will enable them to function as units of self-government.
• Article 48 of the Constitution of India is one of the Directive Principles which directs the state to make efforts for banning animal slaughtering of cows and calves and other milch and draught cattle.

The correct answer is Switzerland.

Key Points

• Switzerland won the Hopman World Cup 2019.
• Switzerland won their third Hopman Cup as Roger Federer and Belinda Bencic beat Germany's Alexander Zverev and Angelique Kerber.
• Belinda Bencic and Roger Federer are swiss tennis champions.
• It was Federer's second Hopman Cup triumph after victory in 2001 alongside then world number one Martina Hingis.
• The final was held at the Perth Arena.

Additional Information

• List of important cups and Trophies related to Tennis:

The correct answer is World Bank.

Key Points

• The Government of India sign a $120 million project to improve and modernise the transport sector of Meghalaya with World Bank.
• The Government of India, the Government of Meghalaya and the World Bank today signed a $120-million project to improve and modernize the transport sector of Meghalaya, a hill state located in the north east of India.
• This will help Meghalaya to harness its vast growth potential for high-value agriculture and tourism.
• The project will improve about 300 km of strategic road segments and stand-alone bridges by using innovative, climate resilient, and nature-based solutions.
• It will also support innovative solutions such as precast bridges to reduce both time and cost of construction.

Additional Information

• ​​​World Bank:
• Headquarters - Washington, D.C., United States.
• Comprises of - The International Bank for Reconstruction and Development and The International Development Association.
• Meghalaya:
• Lok Sabha seats - 2.
• Rajya Sabha seats - 1.
• State Animal - Clouded leopard.
• State Bird - Common hill myna.
• National Parks - Balphakram National Park, Nokrek Ridge National Park.

The correct answer is 15th.

Key Points

• The 15th Finance Commission was constituted on 27th November 2017 in terms of Article 280 of the Constitution of India.
• Shri N.K. Singh is the Chairman of the 15th Finance Commission of India.
• The 15th Finance Commission on 16 November 2020 submitted to Prime Minister Narendra Modi its report on the ratio in which tax is to be divided between the Centre and states over the next five years. The report titled ‘Finance Commission in COVID Times' was submitted to Finance Minister Nirmala Sitharaman on the next day.

Additional Information

• The Commission submitted two reports — the first report consisted of recommendations for the financial year 2020-21 and the final with recommendations for 2021-26.
• The recommendations of the 15th Finance Commission for 2021-22 to 2025-26 have not been disclosed as it has not been tabled in Parliament.
• The Commission was asked to give its recommendations on wide-ranging issues. Apart from the vertical and horizontal tax devolution, local government grants, disaster management grants, it was also asked to examine and recommend performance incentives for States in many areas like the power sector, adoption of direct benefit transfer, solid waste management, etc.
• The Commission was also asked to examine whether a separate mechanism for funding of defense and internal security ought to be set up and if so, how such a mechanism could be operationalized.

The correct answer is Sugarcane.

Key Points

• Sugarcane crops needs maximum water per hectare.
• The crop water need or crop evapotranspiration consists of transpiration by the plant and evaporation from the soil and plant surface.
• The water need of a crop thus consists of transpiration plus evaporation.
• Therefore, the crop water need is also called "evapotranspiration".

Additional Information APPROXIMATE VALUES OF SEASONAL CROP WATER NEEDS:

The correct answer is lepcha la.

Key Points

• Lepcha la connects the last south-eastern end of Spiti valley with Shailkhar and Chango of Hagarag valley in Kinnaur.
• Lepcha La Pass connects the extreme southeastern end of the Spiti valley with Shailkhar and Chango of the Hangrang Valley in Kinnaur.

Additional Information

Other important passes: 

The correct answer is Subrata Rai Sahara.

Key Points

• 'Life Mantras' is a book written by Subrata Rai Sahara.
• Subrata Roy is an Indian businessman who founded Sahara India Pariwar in 1978.
• Sahara India Pariwar has operated a vast number of businesses such as Aamby Valley City, Sahara Movie Studios, Air Sahara, hockey sports, Filmy, among others.

Additional Information

• Subhash Chandra Goenka is an Indian billionaire media baron.
• He is the chairman of the Essel Group, an Indian media conglomerate and founded Zee TV in 1992.
• Naresh Goyal is an non-resident Indian businessman and founder Chairman of Jet Airways.
• Byrraju Ramalinga Raju is an Indian businessman. He is the founder of Satyam Computer Services and served as its chairman and CEO from 1987 until 2009.

The correct answer is mulching.

Key Points

• The process of covering the bare ground between plants with a layer of organic matter, to retain soil moisture is known as mulching.
• The material used for covering is called as 'Mulch.'
• Mulching is usually practiced when cultivating commercially important crops, fruit trees, vegetables, flowers, nursery saplings, etc.

Additional Information

• Composting is an aerobic method of decomposing organic solid wastes. It can therefore be used to recycle organic material.
• Green manuring is the practice of turning into the soil undecomposed green plant tissue.
• The function of a green manure crop is to add organic matter to the soil.

The correct answer is British East India Company.

Key Points

• British East India Company won the Battle of Plassey in 1757.
• It took place on June 23, 1757.
• It was fought between the forces of East India Company headed by Robert Clive and Siraj-Ud-Daulah (Nawab of Bengal).
• It resulted in the decisive victory of the East India Company over a much larger force of Siraj-Ud-Daulah.
• After the Battle of Plassey, the Britishers virtually monopolized the trade and commerce of Bengal.

Additional Information

• The British East India Company came to India for trade in spices, an important commodity in Europe back then, and as it was used to preserve meat.
• Apart from this, they primarily do trading in silk, cotton, indigo dye, tea, and opium.
• Mughal emperor Jahangir granted a Farman to Captain William Hawkins permitting the English to erect a factory at Surat in 1613.
• In 1615, Thomas Roe, the Ambassador to James I, got an imperial Farman from Jahangir for trading and establishing factories all across the Mughal empire.
• In 1616, the company established its first factory in the south in Masulipattanam.
• Soon, the Vijaynagara Empire will also give the company permission to open a factory in Madras and the British company started to eclipse the other European trading companies in their rising power.
• The 'East India Company' was formed in 1600.

The correct answer is Kerela

Key Points

• In Kerala and Karnataka, theyyam is a prominent ritual style of dance worship.
• Theyyam is made up of thousands of years of traditions, ceremonies, and customs.

Additional Information​ 

• Theyyam is a kind of Hinduism that indigenous groups have practised since time immemorial.
• It includes dance, mime, and music.
• It extols the beliefs of ancient tribals who placed a high value on the worship of heroes and the spirits of their ancestors.

The correct answer is 14 January 1761.

Key Points

• The Third Battle of Panipat was fought on 14 January 1761.
• It was fought between the Afghan invader Ahmad Shah Abdali and the Marathas under Sadashivrao Bhau Peshwa of Pune.
• Abdali won this battle.
• The war led to a power vacuum which later led to the British conquest of India.

Additional Information

• The first battle of Panipat was fought in 1526.
• The first battle of Panipat was fought between the Mughal invader Babur and Ibrahim Lodi.
• It marked the beginning of the Mughal Empire i,e, Babur defeated Lodi and captured the throne of Delhi.
• The Second Battle of Panipat 
• It was fought on 5 November 1556
• It was fought between Akbar and Samrat Hem Chandra Vikramaditya (Hemu).
• Akbar defeated Hemu in this battle.

The correct answer is Pumpkin.

Key Points

• The genus name of Pumpkin is Cucurbita.
• Cucurbitaceae is also called a gourds family.

Additional Information

Important scientific names:

The correct answer is Pig.

Key Points

• Non-ruminant animals are animals with a single-compartment stomach, such as
• swine,
• poultry,
• horses,
• dogs,
• Pig
• cats, and
• humans.
• Hence Pig does not ruminate.
• Non-ruminant nutrition looks at the diet of these animals as it relates to their digestion, growth, performance, and overall health.

Additional Information

• Ruminants are hoofed herbivorous grazing or browsing mammals that are able to acquire nutrients from plant-based food by fermenting it in a specialized stomach prior to digestion, principally through microbial actions.
• Any mammal of the suborder Ruminantia (order Artiodactyla), which includes the pronghorns, giraffes, okapis, deer, chevrotains, cattle, antelopes, sheep, and goats.
• Most ruminants have a four-chambered stomach and two-toed feet.

The correct answer is Vesara.

Key Points

• Vesara is a style of architecture that incorporates elements of Nagara and Dravidian styles.
• It became popular after the mid-seventh century in the region of Karnataka, under the patronage of Chalukyas rulers.
• Features of Vesara style:
• Compound walls may or may not be present.
• Gopurams may or may not be present.
• The plan of these temples looks like a star and is thus known as a stellate plan.
• Examples: Durga Temple (Aihole), Virupaksh Temple (Pattadkal), Keshava Temple (Somnathpur) , Halebidu.

Additional Information

• The temple architecture in India is not the same everywhere.
• Basically there are three styles of temple architecture in India:

1. Nagara Style (North India)
2. Dravida Style (South India)
3. Vasara style (Mix of Nagara and Dravida style)

• Nagara Style:

1. Built on a stone platform with steps leading up to it.
2. Have a tower or Shikhara.
3. Have Grabhagriha ( A place for the idols of god and goddess).
4. Examples: Kandariya Mahadeo temple at Khajuraho, Lakshamana temple

• Dravida Style:

1. Generally enclosed within a compounded wall.
2. The entrance gateway is known as Gopuram.
3. The shape of Temple tower known as Vimana (similar to Shikhara in Nagara style).
4. Large water tanks are common in the temple complex.
5. Examples: Brahadeeshwara temple, Rajarajeswara temple.

The correct answer is Palm tree.

Key Points

• The official symbol of Reserve Bank of India consists of Palm tree.
• Tiger is the animal present on the insignia of the RBI.
• Insignia of the RBI consist of a tiger and palm tree.
• Initially, Insignia of the RBI consist lion and palm tree, but later it was decided to replace the lion with the tiger.
• Tiger is the national animal of India.​

 

Additional Information

• Reserve Bank of India was formed on 1st April 1935.
• It is the central bank of India.
• The recommendation of the Hilton Young Commission in 1926 leads to the formation of the Reserve Bank of India.
• Reserve Bank of India is also called a "banker's bank".
• RBI was nationalised on 1st January 1949.
• RBI issues all the currency notes above one rupee.
• Sir Osborne Smith served as the first governor of RBI.
• C. D Deshmukh served as the first Indian governor of RBI.
• Shaktikanta Das is the current governor of RBI.
• RBI's functions

1. Supervision of the financial sector.
2. The regulator and supervisor of the financial system.
3. Banker and debt manager to government.
4. Managing foreign exchange.

Given:

A man bought some toys at the rate of 112 for Rs. 448 and sold them at 9 toys for Rs. 81.

Concept used:

Selling price = Cost price + Gain

Gain% = (Gain/Cost price) × 100

Calculation:

Cost price of 112 toys = Rs. 448

So, cost price of 1 toy = 448/112 = Rs. 4

Selling price of 9 toys = Rs. 81

So, selling price of 1 toy = 81/9 = Rs. 9

Then, gain = 9 - 4 = 5

Gain% = (5/4) × 100 = 125%

∴ His gain percentage is 125%.

Given:

x be the greatest 4-digit number which when divided by 9, 12, 15, 20, 24 and 72, leaves a remainder 3 in each case.

Calculation:

LCM of 9, 12, 15, 20, 24 and 72 = 360

By dividing 9999 with 360 we get 279 as the remainder

So, the number x =  9999 - 279 + 3 = 9723 

Now sum of the digits of x = 9 + 7 + 2 + 3 = 21

∴ The required answer is 21.

Shortcut Trick∵ The Number is also divisible by 9 so we'll use digital sum concept.

⇒ The Number = (The Sum of the digits of the no.s should be multiple of 9) + 3.

⇒ We'll go by the option elimination method.

⇒ Option 2), 21 = 2 × 9 + 3, which satisfies the above condition.

Given:

The average of eight consecutive odd numbers, taken in descending order, is 82

Concept used:

Average = Sum of elements/Number of elements

Calculation:

Let the first number be x

According to the question,

x + (x - 2) + (x - 4) + (x - 6) + (x - 8) + (x - 10) + (x - 12) + (x - 14) = 82 × 8

⇒ 8x - 56 = 656

⇒ 8x = 656 + 56

⇒ 8x = 712

⇒ x = 89

So, the first number is 89

Now,

Total of first four numbers = 89 + 87 + 85 + 83 = 344

Average = 344/4 = 86

∴ The required answer is 86.

Given:

Principal = Rs. 8,400

Amount = Rs. 10,899

Time = 3(1/2) = (7/2) years

Formula Used:

1. SI = Amount - Principal

2. SI = PRT/100

Where P = Principal, R = Rate, T = Time(in years)

Calculations:

SI = 10,899 - 8,400 = 2,499

⇒ 2499 = [8400 × R × (7/2)] / 100

⇒ 2499 = [8400 × R × 7] / (100 × 2)

⇒ R = (2499 × 200)/(8400 × 7)

⇒ R = 8.5%

Now, we have to find the amount after 4(2/3) years at double the initial rate of interest

⇒ R = 8.5 × 2 = 17, T = 4(2/3) = (14/3) years

SI = [8400 × 17 × (14/3)] / 100

⇒ SI = (8400 × 17 × 14) / (100 × 3)

⇒ SI = 6,664

Amount = 8400 + 6664 = 15,064

∴ The amount after 4(2/3) years at the rate of 17% will be 15,064 rupees.

Shortcut Trick

Make the total units of both solutions equal: Solution A (4+3=7) and Solution B (9+5=14).

Multiply Solution A ratio by 2: (4 : 3) × 2 = 8 : 6. Now both have a base of 14 units.

Multiply by respective mixing quantities (4L and 5L):

Acid = (8 × 4) + (9 × 5) = 32 + 45 = 77 units.

Water = (6 × 4) + (5 × 5) = 24 + 25 = 49 units.

Resulting Ratio = 77 : 49 = 11 : 7.

∴ The correct answer is 11 : 7.

Alternate Method

Given:

Solution A: Ratio of Acid to Water = 4 : 3 | Quantity = 4 Litres

Solution B: Ratio of Acid to Water = 9 : 5 | Quantity = 5 Litres

Formula Used:

Total component = Quantity × (Ratio share of component)

Calculations:

⇒ Acid in A = 4 × (4/7) = 16/7 Litres

⇒ Water in A = 4 × (3/7) = 12/7 Litres

⇒ Acid in B = 5 × (9/14) = 45/14 Litres

⇒ Water in B = 5 × (5/14) = 25/14 Litres

⇒ Total Acid = 16/7 + 45/14 = (32 + 45)/14 = 77/14 Litres

⇒ Total Water = 12/7 + 25/14 = (24 + 25)/14 = 49/14 Litres

⇒ Required Ratio = (77/14) : (49/14) = 77 : 49

⇒ Simplifying by 7, we get 11 : 7.

The resulting ratio matches Option (3).

∴ The correct answer is 11 : 7.

Additional Information

Mixture Rule for Components

When two mixtures are combined, the total quantity of a specific component is the sum of that component from each individual mixture.

LCM Method for Ratios

To simplify calculations, make the sum of ratio parts equal to the LCM of total parts before multiplying by individual quantities.

Weighted Average of Ratios

The final ratio can be viewed as a weighted average where weights are the volumes of the solutions mixed: (w₁c₁ + w₂c₂) / (w₁ + w₂).

Shortcut Trick

Average speed for 3 equal distances at speeds a, b, c = 3abc ÷ (ab + bc + ca)

Average speed = (3 × 5 × 8 × 10) ÷ (40 + 80 + 50) = 1200 ÷ 170 = 120/17 km/h.

Total Time = 61 min 12 sec = 306/5 mins = 51/50 hours.

Total Distance = Average Speed × Total Time = (120/17) × (51/50) = 7.2 km.

∴ The correct answer is 7.2 km.

Alternate Method

Given:

Speeds = 5 km/h, 8 km/h, 10 km/h

Total time = 61 min 12 sec

Formula Used:

Time = Distance ÷ Speed

Total Time = 61 min 12 sec d km d km d km

5 km/h 8 km/h 10 km/h

Total Distance = 3d

Calculations:

⇒ Let the total distance be 3d, so each equal part is d km.

⇒ Total Time = 61 min + 12 sec = 61 + 12/60 = 61 + 1/5 = 306/5 mins.

⇒ Total Time in hours = (306/5) × (1/60) = 306/300 = 51/50 hours.

⇒ Time taken for each part = d/5, d/8, and d/10.

⇒ Total Time = d/5 + d/8 + d/10 = 51/50

⇒ Taking LCM of 5, 8, 10 which is 40:

⇒ (8d + 5d + 4d) / 40 = 51/50

⇒ 17d / 40 = 51/50

⇒ d = (51/50) × (40/17)

⇒ d = 3 × (4/5) = 12/5 = 2.4 km

⇒ Total Distance = 3d = 3 × 2.4 = 7.2 km

∴ The correct answer is 7.2 km.

Additional Information

Average Speed for Equal Distances

When a body travels n equal distances at speeds v₁, v₂, ... v_n, Average Speed = n ÷ (1/v₁ + 1/v₂ + ... + 1/v_n).

Average Speed for Equal Time

When a body travels at speeds v₁, v₂, ... v_n for equal time intervals, Average Speed = (v₁ + v₂ + ... + v_n) ÷ n.

Relative Speed

For two bodies moving in the same direction, relative speed = |v₁ − v₂|. In opposite directions, relative speed = v₁ + v₂.

Shortcut Trick

Present average of Ajay, wife, and child = 42 + 7 = 49 years.

Present average of wife and child = 38 + 9 = 47 years.

Present sum of ages (3 persons) = 49 × 3 = 147 years.

Present sum of ages (2 persons) = 47 × 2 = 94 years.

Ajay’s present age = 147 − 94 = 53 years.

∴ The correct answer is 53 years.

Alternate Method

Given:

⇒ Average age of Ajay, wife, and child 7 years ago = 42 years

⇒ Average age of wife and child 9 years ago = 38 years

Formula Used:

⇒ Total Sum = Average × Number of persons

Calculations:

⇒ Total age of Ajay, wife, and child (7 years ago) = 42 × 3 = 126 years

⇒ Total age of Ajay, wife, and child (Present) = 126 + (3 × 7) = 126 + 21 = 147 years

⇒ Total age of wife and child (9 years ago) = 38 × 2 = 76 years

⇒ Total age of wife and child (Present) = 76 + (2 × 9) = 76 + 18 = 94 years

⇒ Ajay’s present age = Present Sum (All) − Present Sum (Wife + Child)

⇒ Ajay’s present age = 147 − 94 = 53 years

∴ The correct answer is 53 years.

Additional Information

Effect of Time on Average

If the average age of a group of n people is X years, then after t years, the average age will be (X + t) years.

Total Sum Formula

Sum of ages = Average age × Number of persons. This is the most fundamental rule for solving age-related problems.

Age Difference Property

The difference between the ages of two individuals remains constant regardless of the number of years passed or preceding.

Given:

A is 120% of B and B is 85% of C

The sum of A, B and C is $143\frac{1}{2}$

Calculation:

A = 120% of B

So, A : B = 6 : 5

Again

B = 85% of C

So, B : C = 17 : 20

By equalling B in each case we get = A : B : C = 102 : 85 : 100

Let A, B, and C be 102x, 85x, and 100x

So,

102x + 85x + 100x = $143\frac{1}{2}$

⇒ 287x = $\frac{287}{2}$

⇒ x = $\frac{1}{2}$ or 0.5

So, A = 102x = 102 × 0.5 = 51

B = 85x = 85 × 0.5 = 42.5

C = 100x = 100 × 0.5 = 50

Now,

C - 4B + 2A = 50 - 4 × 42.5 + 2 × 51

⇒ 50 - 170 + 102 = - 18 

∴ The required answer is - 18.

Given:

A and B can complete a work in 18 days and 10 days, respectively.

Concept used:

Total work = efficiency of the works × time taken by them

Calculation:

LCM of 18 and 10 = 90 i.e total work

So, the efficiency of A = 90/18 = 5 units/day

Efficiency of B = 90/10 = 9 units/day

In 5 days work completed = 5 × (5 + 9)

⇒ 5 × 14 = 70 units

Remaining work = 90 - 70 =  20 units

A and C completed the 20 units of the work in 3 days

So, the effective efficiency of A and C = 20/3 units/day

Efficiency of C = (20/3) - 5

⇒ (20 - 15)/3 units/day = 5/3 units/day

So, the required time to complete the work alone by C = 90/(5/3)

⇒ 90 × (3/5) days = 54 days 

∴ C alone will take 54 days to complete the entire work.

Shortcut Trick

Let the first number be A and the second number be B.

Given: (1/7) × A = (2/5) × B

Direct ratio A : B = (Numerator of B × Denominator of A) : (Denominator of B × Numerator of A)

A : B = (2 × 7) : (5 × 1) = 14 : 5

∴ The correct answer is 14 : 5.

Alternate Method

Given:

First number (let it be x) × 1/7 = Second number (let it be y) × 2/5

Calculations:

⇒ (1/7) × x = (2/5) × y

⇒ x/7 = 2y/5

By cross-multiplying the denominators:

⇒ 5 × x = 7 × 2y

⇒ 5x = 14y

⇒ x / y = 14 / 5

⇒ x : y = 14 : 5

∴ The correct answer is 14 : 5.

Additional Information

Ratio and Proportion

If a × A = b × B, then the ratio A : B is equal to b : a. This is known as the inverse coefficient rule.

Compound Ratio

The compound ratio of (a : b) and (c : d) is (ac : bd). It is found by multiplying the corresponding terms of the ratios.

Cross Multiplication Rule

In the equation A/B = C/D, the relationship is expressed as A × D = B × C.

Shortcut Trick

Net percentage of salary donated = 70% of 12% = 8.4%

8.4% of Salary = Rs. 4200

1% of Salary = 4200 ÷ 8.4 = Rs. 500

100% of Salary = 500 × 100 = Rs. 50,000

∴ The correct answer is Rs. 50,000.

Alternate Method

Given:

Planned donation = 12% of monthly salary

Actual donation = 70% of planned donation = Rs. 4200

Formula Used:

Part = (Percentage ÷ 100) × Base Value

Calculations:

Let Vishal's monthly salary be S.

⇒ Planned donation = (12 ÷ 100) × S = 0.12 × S

⇒ Actual donation = (70 ÷ 100) × Planned donation

⇒ 4200 = 0.70 × 0.12 × S

⇒ 4200 = 0.084 × S

⇒ S = 4200 ÷ 0.084

⇒ S = 50,000

∴ The correct answer is Rs. 50,000.

Additional Information

Successive Percentages

When applying one percentage after another, the net percentage is the product of their multiplying factors. Here, 70% of 12% is equivalent to (70 ÷ 100) × (12 ÷ 100) = 8.4% of the original base.

Identifying the Base Value

The phrase '70% of what he had decided' clearly sets the base for the 70% calculation as the initial 12% planned donation, rather than the entire monthly salary.

Percentage vs Real Value Equivalence

To find a total (100%), equate the given real value (Rs. 4200) to its corresponding percentage representation (8.4%). The total is calculated as: Total = Value ÷ (Percentage ÷ 100).

Given:

Sides of triangular field = 96m, 110m and 146m

Formula used:

<br>

Area of right triangle = 1/2 × base × height

Area of square = side² 

Calculation:

Using pythagoras theorem,

146² = 96² + 110²

Then, triangle is right angled triangle.

Area of triangular field = 1/2 × 96 × 110

⇒ 5280 sq.m

Area of square field = 5280 sq.m

Let the side of the square field be a.

⇒ a² = 5280

⇒ a = 4√330 m

So, side of the square field = 4√330 m

∴ The side (in m) of the square field is 4√330.

Shortcut Trick

Let total distance be 75 units and total time be 1 unit.

First part distance = 60% of 75 = 45 units; Time = 8/15 units.

Remaining distance = 75 − 45 = 30 units.

Remaining time = 1 − 8/15 = 7/15 units.

Value of x = Remaining distance ÷ Remaining time = 30 ÷ (7/15) = 450 ÷ 7 ≈ 64.

∴ The correct answer is 64.

Alternate Method

Given:

Average speed of Aman = 75 km/h

First distance covered = 60% in 8/15 of total time

Remaining distance covered at x km/h

Formula Used:

Average Speed = Total Distance ÷ Total Time

Speed = Distance ÷ Time

Calculations:

⇒ Let total distance be D and total time be T.

⇒ D ÷ T = 75 ⇒ D = 75T

⇒ Remaining distance (D₂) = 40% of D = 0.4 × 75T = 30T

⇒ Remaining time (T₂) = T − (8/15)T = (7/15)T

⇒ Speed x = D₂ ÷ T₂

⇒ x = 30T ÷ (7/15)T

⇒ x = 30 × 15 ÷ 7

⇒ x = 450 ÷ 7

⇒ x ≈ 64.28 km/h

⇒ Nearest integer value of x is 64.

∴ The correct answer is 64.

Additional Information

Average Speed with Constant Distances

If a journey is divided into two equal distances with speeds v₁ and v₂, the average speed is 2 × v₁ × v₂ ÷ (v₁ + v₂).

Average Speed with Constant Time

If an object travels at different speeds for equal time intervals, the average speed is simply the arithmetic mean: (v₁ + v₂ + ... + v_n) ÷ n.

Relative Speed

When two objects move in the same direction, relative speed is |v₁ − v₂|. In opposite directions, it is v₁ + v₂.

Given:

The cost price of 28 articles is equal to the selling price of 18 articles.

Formula used:

Profit = Selling price - Cost price

Gain% =(Profit/Cost price) × 100

Calculation:

The cost price of 28 articles is equal to the selling price of 18 articles.

⇒ 28 Cost Price = 18 Selling Price

⇒ Cost Price/Selling Price = 18/28

Profit = 28 - 18 = 10 

Profit% = 10/18 × 100

⇒ $55\frac{5}{9}\%$

∴ The profit percentage is $55\frac{5}{9}\%$.

Shortcut Trick

Net discount for two successive discounts a% and b% = (a + b − ab ÷ 100)%

Given a = 15% and b = 25%.

Equivalent discount = (15 + 25 − (15 × 25) ÷ 100)%

Equivalent discount = (40 − 375 ÷ 100)% = (40 − 3.75)% = 36.25%

∴ The correct answer is 36.25%.

Alternate Method

Given: First discount = 15%, Second discount = 25%. Formulas: Final SP = MP × (100 − D₁)% × (100 − D₂)% | Total Discount% = (MP − SP) ÷ MP × 100.

⇒ Let the Marked Price (MP) be 100.

⇒ Price after 15% discount = 100 − 15 = 85.

⇒ Price after 25% discount on 85 = 85 − (25% of 85) = 85 − 21.25 = 63.75.

⇒ Single Equivalent Discount = 100 − 63.75 = 36.25%.

∴ The correct answer is 36.25%.

Additional Information

Successive Discounts

When a series of discounts are applied on the Marked Price one after another, they are called successive discounts. The second discount is calculated on the reduced price.

Net Discount Formula

For three discounts x, y, and z, first find equivalent of x and y (say d), then find equivalent of d and z.

Given:

12389x6378y is divisible by 72

Concept used:

Divisibility rule of 9 = If the sum of digits of the number is divisible by 9, then the number itself is divisible by 9.

Divisibility Rule of 8 = If the last three digits of a number are divisible by 8, then the number is completely divisible by 8.

Calculation:

78y is divisible by 8

The only possible value of y is 4 as 784 is divisible by 8

Now,

1 + 2 + 3 + 8 + 9 + x + 6 + 3 + 7 + 8 + 4 = 51 + x is divisible by 9

54 is the closest number which is divisible by 9

So, x = 3

Now,

$\rm \sqrt{7x+7y}$ = $\rm \sqrt{7 \times3+7\times4}$

⇒ $\rm \sqrt{21+28}$

⇒ $\rm \sqrt{49}$

⇒ 7

∴ The required answer is 7.

Given:

Discount % = 14% and 10%

Selling price = Rs. 3483

Concept used:

Selling price = Marked price × (100 - Discount)/100

Calculation:

According to the question,

Marked price × (86/100) × (90/100) = 3483

⇒ Marked price = 3483 × (50/43) × (10/9)

⇒ Marked price = 4050 × (10/9)

⇒ Marked price = 4500

∴ The marked price is Rs. 4500.

Given:

A fruit seller sells apples at the rate of Rs. 68 per kg and thereby loses 15%

Concept used:

Selling price = Cost price × (100 + profit)/100

Selling price = Cost price × (100 - loss)/100

Calculation:

According to the question,

Cost price × (85/100) = 68

⇒ Cost price = 68 × (100/85)

⇒ Cost price = 80

Now,

Required selling price = 80 × (110/100)

⇒ 88

∴ The required answer is Rs. 88.

Given:

$\left(\frac{3}{4}-\frac1{3}\div\frac{1}{3}\ of\ \frac{9}{5}\right)\div\left(\frac{7}{16}\div\frac{1}{2}\ of\ \frac{1}{5}\right)\ of\ \frac{4}{15}-\frac{2}{3}$

Concept used:

Calculation:

$\left(\frac{3}{4}-\frac1{3}\div\frac{1}{3}\ of\ \frac{9}{5}\right)\div\left(\frac{7}{16}\div\frac{1}{2}\ of\ \frac{1}{5}\right)\ of\ \frac{4}{15}-\frac{2}{3}$

⇒ $\left(\frac{3}{4}-\frac1{3}\div \frac{3}{5}\right)\div\left(\frac{7}{16}\div\frac{1}{10}\right)\ of\ \frac{4}{15}-\frac{2}{3}$

⇒ $\left(\frac{3}{4}-\frac1{3}\times \frac{5}{3}\right)\div\left(\frac{7}{16}\times{10}\right)\ of\ \frac{4}{15}-\frac{2}{3}$

⇒ $\left(\frac{3}{4}-\frac5{9}\right)\div\frac{35}{8}\ of\ \frac{4}{15}-\frac{2}{3}$

⇒ $\left(\frac{27,-,20}{36}\right)\div\frac{35}{8}\ of\ \frac{4}{15}-\frac{2}{3}$

⇒ $\frac{7}{36}\div\frac{35}{8}\ of\ \frac{4}{15}-\frac{2}{3}$

⇒ $\frac{7}{36}\div\frac{7}{6}-\frac{2}{3}$

⇒ $\frac{7}{36}\times\frac{6}{7}-\frac{2}{3}$

⇒ $\frac{1}{6}-\frac{2}{3}$

⇒ $\frac{1 ,-, 4}{6}$ = $\frac{- 3}{6}$ = $\frac{- 1}{2}$

∴ The required answer is $\frac{- 1}{2}$.

Given:

The present ages of A and B are in the ratio 14 ∶ 17.

Eight years from now, the ratio of their ages will be 6 ∶ 7.

Calculation:

Let the present age of A and B be 14x and 17x

According to the question,

$\frac{14x + 8}{17x + 8} = \frac{6}{7}$

⇒ 98x + 56 = 102x + 48

⇒ 56 - 48 = 102x - 98x

⇒ 4x = 8

⇒ x = 2

So, the present ages of A and B = 28 and 34

Difference = 34 - 28

⇒ 6 years

∴ The difference (in years) between their present ages is 6.

Given:

A can do a certain work in 18 days and B can do it in 30 days.

Concept used:

Total work = efficiency of the works × time taken by them

Calculation:

LCM of 18 and 30 = 90 i.e total work

So, the efficiency of A = 90/18 = 5 units/day

Efficiency of B = 90/30 = 3 units/day

In 6 days work completed = 6 × (5 + 3) = 48 units

Remaining work = 90 - 48 = 42 units

C completed the 42 units of the work in 7 days

So, C's efficiency = 42/7 = 6 units/day

Effective efficiency of A, B and C = 5 + 3 + 6

⇒ 14 units/day

So, the required time = 90/14 = $6\frac{3}{7}$ days

∴ A, B and C will together complete the same work in $6\frac{3}{7}$ days.

Given:

$2\frac{1}{36}\div\frac{5}{9}\ of\ \left(5\frac{1}{10}+2\frac{1}{5}\right)+\frac{3}{5}\div4\frac{1}{5}$

Concept used:

Calculation:

$2\frac{1}{36}\div\frac{5}{9}\ of\ \left(5\frac{1}{10}+2\frac{1}{5}\right)+\frac{3}{5}\div4\frac{1}{5}$

⇒ $2\frac{1}{36}\div\frac{5}{9}\ of\ \left(\frac{51}{10}+\frac{11}{5}\right)+\frac{3}{5}\div4\frac{1}{5}$

⇒ $2\frac{1}{36}\div\frac{5}{9}\ of\ \left(\frac{51 + 22}{10}\right)+\frac{3}{5}\div4\frac{1}{5}$

⇒ $2\frac{1}{36}\div\frac{5}{9}\ of\ \frac{73}{10}+\frac{3}{5}\div4\frac{1}{5}$

⇒ $2\frac{1}{36}\div\frac{73}{18}+\frac{3}{5}\div4\frac{1}{5}$

⇒ $\frac{73}{36}\div\frac{73}{18}+\frac{3}{5}\div\frac{21}{5}$

⇒ $\frac{73}{36}\times\frac{18}{73}+\frac{3}{5}\times\frac{5}{21}$

⇒ $\frac{1}{2}+\frac{1}{7}$ = $\frac{7,+,2}{14}$ = $\frac{9}{14}$

 ∴ The required answer is $\frac{9}{14}$.

Given:

Area of the square piece of cloth = 841 cm²

Concept used:

Area of a square = a²

Diagonal of a square = a√2, where a → side of the square

Calculation:

Area of square piece cloth = 841 cm²

⇒ a² = 841

⇒ a = √841 

⇒ a = 29 cm

So, the diagonal of the cloth = a√2 = 29√2 cm

∴ The length of each of its diagonal is 29√2 cm.

Shortcut Trick

Simple interest is 4/25 of the sum, which is (4 ÷ 25) × 100 = 16% of the sum.

The rate of interest is 4% per annum.

Time (r) = Total Interest % ÷ Rate % = 16% ÷ 4% = 4 years.

∴ The correct answer is 4 years.

Alternate Method

Given:

Rate (R) = 4% p.a.

Simple Interest (SI) = 4/25 of Sum (P)

Time (T) = r years

Formula Used:

Simple Interest (SI) = (P × R × T) ÷ 100

Calculations:

⇒ (4 ÷ 25) × P = (P × 4 × r) ÷ 100

⇒ 4 ÷ 25 = 4r ÷ 100

⇒ 1 ÷ 25 = r ÷ 100

⇒ r = 100 ÷ 25

⇒ r = 4

∴ The correct answer is 4 years.

Additional Information

Formula used:

S.I = (P × T × R)/100

Amount = P + S.I

Here,

P = Sum,T = Time & R = Rate

Calculation:

Let the sum be 100x

So, Interest for 1st 6 months = (100x × 5 × 6)/(12 × 100)

⇒ 2.5x

New sum = 100x + 2.5x = 102.5x

Interest for 2nd 6 months = (102.5x × 5 × 6)/(12 × 100)

⇒ 2.5625x

Amount after 1 year = 102.5x + 2.5625x

⇒ 105.0625x

Interest after 1 year = 105.0625x - 100x

⇒ 5.0625x

Accrued interest rate = (5.0625x/100x) × 100

⇒ 5.0625% ≈ 5.06%

∴ The required interest rate is 5.06%.

The correct answer is Pityful.

Key Points

• The wrongly spelt word is Pityful.
• The correct spelling is Pitiful which means causing you to feel pity or sadness (दयनीय, कारुणिक).
• Example: The pitiful groans of the wounded soldiers.

​The correct choice is option 1.

Additional Information

• Tactful: careful not to say or do things that could offend people (व्‍यवहार-कुशल (लोगों को नाराज़ कर सकने वाली बातें न कहने या करने वाला), चतुर)
• Plead: to ask somebody for something in a very strong and serious way (गंभीरतापूर्वक याचना करना, चिरौरी करना)
• Guilty: having broken a law; being responsible for doing something wrong (क़ानून तोड़ने वाला; ग़लत काम करने वाला)