SSC CGL 2020 Tier-I Official Paper (Held On : 20 Aug 2021 Shift 3) (Previous Year Paper)

The logic followed here is:-

1) 

move 90⁰ clockwise direction.

2. Letters F and J move corner to corner clockwise direction and after the rotating letter F and J change its position in anticlockwise direction and so on. 

So, the figure is given below:-

Hence, "option 1" is the correct answer.

The option in which the given figure is embedded:-

Hence, "option 4" is the correct answer.

Important Points

• Do not get tensed by the complexity of the figures.
• Carefully understand the structure of the given question figure.
• The embedded figure may not be of exact size. It may be small or big.
• Sometimes the rotation or reflection of the figures may be confusing.
• So think wisely before selecting the answer.

The Venn diagram is given below:-

Conclusions:

I. No introvert is an ambivert. → False (No introvert is an extrovert, all extroverts are ambiverts. So we can say that no introvert is an ambivert it can be possible but not definite, hence, false)

Il. No ambivert is an introvert. → False (No introvert is an extrovert, all extroverts are ambiverts. So we can say that no ambivert is an introvert it can be possible but not definite, hence, false)

III. Some ambiverts are extroverts. → True (All extroverts are ambiverts. So we can say that some ambiverts are extroverts as follow.)

IV. All ambiverts are extroverts. → False (All extroverts are ambiverts but all ambiverts are extroverts it does not follow.)

Hence, "option 3" is the correct answer.

The logic followed here is:-

Highlighter and eraser are Stationeries but Highlighter and Eraser both are different things.

So, the Venn diagram is given below:-

Hence, "option 1" is the correct answer.

When the paper is folded to form a cube, the faces that will be opposite to each other is shown below:-

7 number on the face opposite the face showing the number ‘3'.

Hence, "option 1" is the correct answer.

Additional Information

• Dices are of two types:

1. Standard Dice
2. Non-Standard Dice.

• Dice has:-

1. faces = 6
2. sides = 12
3. corners = 8

• Two opposite faces never seen together.
• Adjacent faces are never opposite to each other.

When two positions of the same dice are given with one face as the common:

1. We take the common letter and move either in a Clockwise or Anti-clockwise direction.
2. The faces that come in this process are opposite each other in the same order.

From option 1:-

b c e m d k k / b c e m c k k / b c c m d k k → don't follow a pattern.

From option 2:-

b c e m d k k / b c e m d k k / b c e m d k k → Follows a pattern and 'bcemdkk' remains the same.

From option 3:-

b c e k d k m / b c e m d k k / b c e m d k k → don't follow a pattern.

From option 4:-

b c e k d k k / b c e m d k k / b c e m d k k → don't follow a pattern.

Hence, "option 2" is the correct answer.

The logic followed here is:-

Except pint, all are the currency of countries whereas the pint is a unit of volume or capacity in both the imperial units and United States customary units.

Loti is the currency of Lesotho.

Naira is the currency of Nigeria.

Euro is the currency of Germany, France etc.

Hence, "option 2" is the correct answer.

Key Points

• As nouns the difference between unit and pint is that unit is (sciences) a standard measure of a quantity while pint is a unit of volume, equivalent to ⅛ of a gallon or.
• There are 8 pints in a gallon.

Given:

Equation (1) → Priya takes ₹88 from Kavya, then she will have an amount equal to what Gaurvi has.

Priya + 88 = Gaurvi

Equation (2) → Shalini and Kavya together have a total of ₹550.

Shalini + Kavya = 550

Equation (3) → If Gaurvi takes ₹25 from Shalini, she will have an amount equal to what Kavya has.

Gaurvi + 25 = Kavya

Equation (4) → Total amount with Shalini, Kavya and Gaurvi is ₹840.

Shalini + Kavya + Gaurvi = 840

From equation (4) and (2)

Gaurvi  + 550 = 840

Gaurvi = 840 – 550 = 290

From equation (1) → Priya + 88 = Gaurvi

So, Priya + 88 = 290

Priya = 290 – 88 = 202

Hence, Priya have ‘202’ rs.

Pointing towards Sumit, Anuj said, “He is my mother’s father’s son’s brother’s son”.

Vinita who is married to Kartik, is the mother of Anuj → Vinita is married to Kartik and Vinita is the mother of Anuj.

The family tree is given below:-

Clearly, Vinita's brother is the father of Sumit so Vinita is the father's sister of Sumit. (Vinita is the aunt of Sumit)

Hence, "option 1" is the correct answer.

From option 1:-

From option 2:-

From option 3:-

From option 4:-

From the above options 2, 3, and 4 are different from option 1.

Hence, "option 1" is the correct answer.

From option 1:-

5 * 468 * 18 * 70 * 180 * 4 * 5

÷, ×, +, -, =, ×

5 ÷ 468 × 18 + 70 - 180 = 4 × 5

Apply BODMAS rule:-

0.010 × 18 + 70 - 180 = 4 × 5

0.18 + 70 - 180 = 20

70.18 - 180 = 20

-109.82 ≠ 20, It is not follow.

From option 2:-

5 * 468 * 18 * 70 * 180 * 4 * 5

×, ÷, +, =, -, ×

5 × 468 ÷ 18 + 70 = 180 - 4 × 5

Apply BODMAS rule:-

5 × 26 + 70 = 180 - 4 × 5

130 + 70 = 180 - 20

200 = 180 - 20

200 ≠ 160, It is not follow.

From option 3:-

5 * 468 * 18 * 70 * 180 * 4 * 5

×, ÷, +, -, =, ×

5 × 468 ÷ 18 + 70 - 180 = 4 × 5

Apply BODMAS rule:-

5 × 26 + 70 - 180 = 4 × 5

130 + 70 - 180 = 20

200 - 180 = 20

20 = 20, It is follow.

From option 4:-

5 * 468 * 18 * 70 * 180 * 4 * 5

×, ÷, -, +, =, ×

5 × 468 ÷ 18 - 70 + 180 = 4 × 5

Apply BODMAS rule:-

5 × 26 - 70 + 180 = 4 × 5

130 - 70 + 180 = 20

310 - 70 = 20

240 ≠ 20, It is not follow.

Hence, "option 3" is the correct answer.

The logic followed here is:-

Similarly,

Hence, "option 4" is the correct answer.

The logic followed here is:-

Electricity is used as energy source for Television.

Similarly,

Petrol is used as energy source for Car.

Hence, "option 1" is the correct answer.

The logic followed here is:-

From option 1:-

82 : 236 → 82 × 3 - 10 = 246 - 10 = 236

From option 2:-

36 : 98 → 36 × 3 - 10 = 108 - 10 = 98

From option 3:-

54 : 152 → 54 × 3 - 10 = 162 - 10 = 152

From option 4:-

68 : 196 → 68 × 3 - 10 = 204 - 10 = 194 ≠ 196, It is not followed.

Hence, "option 4" is the correct answer.

The logic followed here is:-

Hence, "option 3" is the corrrect answer.

The logic followed here is:-

1st number × ((1st number ÷ 2) + 1) = Second number.

For 14 : 112

14 × ((14 ÷ 2) + 1)

= 14 × (7 + 1)

= 14 × 8 = 112

Similarly,

For 18 : ?

18 × ((18 ÷ 2) + 1)

= 18 × (9 + 1)

= 18 × 10 = 180

Hence, "option 1" is the correct answer.

When it is folded on the dotted line, then the pattern will be the same as the sheet given below:-

Hence, "option 4" is the correct answer.

The number of triangles is:-

 

 

The total number of triangles is 19.

Hence, "option 2" is the correct answer.

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

First, come  

2. Illegality then 
3. Illegible
4. Illegitimate
5. Illiterate 
6. Illuminate.

So, the correct sequence is 2, 5, 1, 4, 3.

Hence, "option 2" is the correct answer.

The logic followed here is:-

Chicken is the female version of the rooster.

Similarly,

Duck is the female version of male duck.

Hence, "option 2" is the correct answer.

The logic followed here is:-

Hence, "option 3" is the correct answer.

Given:

Here the pattern followed in each column is:

Step 1 → (1^st number)² – 4 = 2^nd number

Step 2 → 2^nd number × 4 – 2 = 3^rd number

Column 1: 3, 5, 18

Step 1 → 3² - 4 = 9 – 4 = 5 = 2^nd number

Step 2 → 5 × 4 – 2 = 20 – 2 = 18 = 3^rd number

Column 3: 8, 60, 238

Step 1 → 8² - 4 = 64 – 4 = 60 = 2^nd number

Step 2 → 60 × 4 – 2 = 240 – 2 = 238 = 3^rd number

Similarly

Column 2: 6, 32, ?

Step 1 → 6² - 4 = 36 – 4 = 32 = 2^nd number

Step 2 → 32 × 4 – 2 = 128 – 2 = 126 = 3^rd number

Hence, “126” is correct answer.

The table is alphabets place value:

The pattern followed here is:

Step 1: Arrange letters according to the alphabets series.

Step 2: All consonant place values multiply by 2 and it is coded as numeric values.

Step 3: Opposite letter place values of vowels are coded as numeric values.

'LIBERTY' is coded as '4221824364050'.

Step 1: LIBERTY → Alphabetical order → BEILRTY.

Step 2: All consonant place values multiply by 2 and it is coded as numeric values.

Step 3: Opposite letter place values of vowels are coded as numeric values.

Similarly, 

SLAVERY = ?.

Step 1: SLAVERY → Alphabetical order → AELRSVY.

Step 2: All consonant place values multiply by 2 and it is coded as numeric values.

Step 3: Opposite letter place values of vowels are coded as numeric values.

Hence, the correct answer is "26222436384450".

The mirror image of the given figure is given below:-

Detailed Explanation:

• The line MN is the mirror.
• The given word "HGJYTEK" has a third letter J. So the mirror image should be 

 ⇒ option 4 is eliminated.

• The given word "HGJYTEK" has a fourth letter Y. So the mirror image should be 

 ⇒ option 1 is eliminated.

• The given word "HGJYTEK" has a fifth letter T. So the mirror image should be 

 ⇒ option 3 is eliminated.

Hence, "option 2" is the correct answer.

The Logic here is as follows:

Difference of 1st two numbers × 2 + 1 = Third number

In (3, 2, 3):

Difference of 1st two numbers (3, and 2) × 2 + 1 =

= (3 - 2) × 2 + 1

= 1 × 2 + 1

= 2 + 1 = 3 = Third Number

Similarly,

In (5, 18, 27):

Difference of 1st two numbers (5, and 18) × 2 + 1 =

= (18 - 5) × 2 + 1

= 13 × 2 + 1

= 26 + 1 = 27 = Third Number

Hence, the correct answer is "(5, 18, 27)".

The correct answer is Arundhati Roy.

• Arundhati Roy is the author of the book, 'Walking with the Comrades’.​
• Walking with the Comrades (2011) is the eyewitness account of the Naxalite- Maoist insurgency by the Indian author Arundhati Roy.
• It is a nonfictional work that describes how the Indian government wages a vicious war against its own citizens.

Important Points

• Arundhati Roy, a resident of Shillong, Meghalaya, was born on 24 November 1961.
• Roy is best known for his novel The God of Small Things (1997), for which she won the Man Booker Prize for Fiction in 1997.
• Awards: Sahitya Akademi Award (2006), Norman Mailer Award (2011)

Additional Information

• Sitaram Yechuri is an Indian Politician and the leader of the Communist Party of India.
• Pulpul Jayakar is an Indian cultural activist and writer best known for her work on the revival of traditional arts, handlooms, and handicrafts in post-independence India.
• Prakash Karat is an Indian Communist Politician.

The correct answer is Bodh Gaya.

• At Bodh Gaya Lord Buddha attained enlightenment.​
• Nirvana is a Sanskrit word that means enlightenment.

Key Points

• Buddhism:
• Buddhists believe in the wisdom that once a state is attained, a person can escape the cycle of suffering and rebirth (human life).
• The first person to reach this state of knowledge was Siddhartha Gautama.
• Buddha was born as Prince Siddhartha at Lumbini near Kapilavastu (in present Nepal).
• He left his home at the age of 29 to become an ascetic. This event is called Mahabhishkramana.
• At the age of 35, Buddha attained enlightenment at Uruvela while meditating under a peepal tree on the banks of the Niranjana River. This tree came to be known as 'Bodhi Tree' and this place became Bodh Gaya (in Bihar).
• He gave his first sermon at Sarnath near Varanasi. This event is called Dharmachakra Pravartana.
• He died in 483 BC under a Sal tree in Kushinagar (in UP)

Important Points

• Four Nobel truths of Buddhism
• Suffering (Dukha)
• Origin of Suffering (Samudaya)
• Cessation of Suffering (Nirodha)
• Path to the Cessation of Suffering (Magga).
• Hinayana and Mahayana are the two main groups of Buddhism.
• Hinayana emphasizes a monastic lifestyle.
• Mahayana Buddhism considers Buddha as God.

The correct answer is Silk.

• Spider webs are made up of silk a natural fiber made up of protein.​

Important Points

• Spider web or cob web is a structure made by a spider.
• It is made from proteinous spider silk extracted from its spinneret.
• The spider's web is usually there to catch its prey.
• The spinneret glands are located at the tip of the spider's abdomen.
• Each gland produces a thread for a specific purpose.
• Uses: Cobweb painting, Ranticles in telescopes, Cow horn resonators in xylophones.

The correct answer is 1930.

• The first Commonwealth Games was held in Canada in the year 1930. 
• It was hosted in Hamilton, Canada.

Key Points

• The Commonwealth Games is an international multi-sport event involving athletes from the Commonwealth of Nations.
• They are often referred to as friendly games.
• Background: The creation of the Games was inspired by the Inter-Empire Championship held in London in 1911.
• Melville Marx is the founder of Robbins Games.
• The Commonwealth Games are supervised by the Commonwealth Games Federation.

Important Points

• 2018 Commonwealth Games, officially known as the XXI Commonwealth Games were held in Gold Coast, Queensland, Australia from 4 to 15 April 2018
• 2022 Commonwealth Games, officially known as the XXII Commonwealth Games and commonly known as Birmingham 2022, is scheduled to be held in Birmingham, England.

The correct answer is Work done by it is completely recoverable.

• Work done by it is completely recoverable is a characteristic of a conservative force.

Key Points

• A Conservative force is a force with the property that the total work done in a moving particle between two points is independent of the path taken.
• Conservative force depends only on the position of the particle.
• The force is independent of the path
• Examples of conservative forces are Gravitational force, Spring force, Magnetic force and Electric force.
• On the other hand, non-conservative forces are those forces that cause the loss of mechanical energy from the system.
• But as we know that energy can neither be created nor destroyed so these forces convert mechanical energy into heat, sound, light etc.
• The force depends on the path.
• Examples of non-conservative forces are friction, air resistance, and tension in the cord.

The correct answer is 1960.

• The Bombay Reorganization Act passed was passed in the year 1960.​

Key Points

• The state of Bombay was included in Part A, a former governorate province of British India as per the First Schedule in the 1949 Constitution.
• The state of Bombay included a large part of modern Gujarat and parts of present-day Maharashtra in Karnataka.
• The States Reorganization Act was created for Bombay State to transfer some Kannada-speaking regions to Mysore State and to expand the areas of Bombay to include Marathi-speaking Marathwada and Vidarbha as well as Gujarat-speaking Saurashtra and Kutch.
• The new state was bilingual and also included Kutch and Konkani speaking areas.
• The Bombay Reorganization Act was passed on 1 May 1960 and hence it is called Appointment Day.
• Note: Appointment day of Gujarat is 1st May, 1960.

The correct answer is Ashtadhyayi.

• Ashtadhyayi was written by Panini.​

Key Points

• Ashtadhyayi is a sutra-style, based on Sanskrit grammar.
• Panini was a Sanskrit linguist, grammarian and revered scholar in ancient India.
• He probably lived in ancient Gandhara in the Indian subcontinent during the Mahajanapada era.
• Panini is described as the first descriptive linguist and is known as the father of linguists.
• Panini was featured on a five-rupee Indian postage stamp in August 2004.

Additional Information

• Kathasaritsagara is a book written by Soma Deva.
• Raghuvamsam is a book written by Kalidas.
• Manusmrithi or Manava Dharma Sastra is the first ancient legal text.

The correct answer is Xylem.

• Xylem is the water transporting tissue in plants.​

Key Points

• Xylem is one of two types of transport tissue in vascular plants.
• The basic function of the xylem is to transport water from the root to the stem and leaves, but it also transports nutrients.
• The term xylem was introduced by Carl Nagelei in 1858, derived from an ancient Greek word meaning wood.

Additional Information 

• Phloem is the living tissue in vascular plants that transports soluble organic compounds formed during photosynthesis and known as photosynthesis, especially the sugar sucrose, to parts of the plant where needed. This transport process is called transfer.
• In a vascular plant, the stele is the central part of the root or stem containing the tissues derived from the procambium.
• The cortex is the outer layer of the stem or root in a plant, which lies beneath the epidermis but outside the vascular bundles. It is responsible for transporting material to the central cylinder of the root via diffusion and can also be used for food storage in the form of starch.

The correct answer is Guru Arjan Dev.

• Guru Arjan Dev a Sikh Guru founded the Tarn Taran Sahib.​

Key Points

• Tarn Taran Sahib is a city in the Majha region of the state of Punjab in northern India.
• It is the district headquarters and hosts the municipal council of Tarn Taran district.
• Gurdwara Sri Tarn Taran Sahib a major Sikh pilgrimage center is located in the central part of the city.
• Tarn Taran Sahib was founded by the fifth Sikh Guru, Sri Guru Arjan Dev (1563–1606).
• He established a town named Tarn Taran, it was made a district in the year 2006.
• The foundation of Tarn Taran Sahib Temple was laid by Guru Arjan Dev.​​

Important Points 

• Guru Nanak Dev was the founder of Sikhism.
• He was born on 15th April which is celebrated as Katak Poornamashi.
• Guru Ram Das is the fourth Guru of Sikhism.​
• Guru Gobind Singh was the tenth Sikh guru.

The correct answer is Ballari.

• Virupaksha Temple is situated in the Ballari district of Karnataka.​

Key Points

• Virupaksha Temple is located at Hampi in Ballari district of Karnataka state, India.
• It is one of the groups of monuments of Hampi which has been designated as a UNESCO World Heritage Site.
• The temple was built by Nayaka Lakkan Dandesh under Deva Raya II, the ruler of the Vijayanagara Empire.
• This temple is dedicated to Lord Virupaksha, a form of Shiva.
• Hampi is situated on the banks of the Tungabhadra river.

Important Points

• Bidar is a city in northeastern Karnataka.
• It borders Maharashtra and Telangana.
• Bagalkot a city in Karnataka is situated on the branch of the river Ghatprabha.
• Chikkaballapur is a city in Karnataka, The famous Nandi hills are within the jurisdiction of the Chikkaballapur district.

The correct answer is Adani Green.

• Adani Green is the Indian solar energy firm that was ranked as the number one energy company in terms of capacity in 2020 by Mercom Capital.​

Key Points

• Adani Green Energy Limited is an Indian renewable energy company headquartered in Ahmedabad, Gujarat.
• It is owned by the Adani Group.
• The company operates the Kamurti Solar Power Project, one of the largest solar photovoltaic plants in the world.
• The company was incorporated on 23 January 2015 under the Companies Act 2013.
• It is the first company to offer investment grade US Dollar Green Bonds to foreign investors.
• Mercom Capital Group is a clean energy communications and consulting firm with offices in the US and India.
• It provides highly respected industry market intelligence reports covering Solar Energy, Wind Energy and Smart Grid.

The correct answer is SBI.

• The ‘Ecowrap report’ was published in May 2020 by the State Bank of India.​

Key Points

• Ecowrap is the report released by The Economic Research Department, State Bank of India.
• The report includes details of GDP, Agricultural reforms, Formal and informal economies.

Additional Information

• Reserve Bank of India is the central bank and regulatory body of India.
• It is responsible for the issue and supply of Indian Rupee.
• It was established on 1 April 1935 in Kolkata.
• The headquarter of RBI is located in Mumbai.
• HDFC Bank Limited is an Indian banking and financial services company.
• It was established in August 1994.
• The headquarter of HDFC is in Mumbai.
• ICICI Bank Limited is a multinational bank and financial services company.
• It was established in 1994 in Vadodara.
• The headquarter of ICICI is in Mumbai.

The correct answer is Kolkata.

• Jai Hind bridge is located in Kolkata, India.​

Key Points

• The Majerhat bride is named as Jai Hind bridge to commemorate the 125th anniversary of Subhas Chandra Bose.
• It is a 650 meters long bridge.
• A bridge over the arterial Diamond Harbor Road connects the central part of the city with the southwestern suburbs of Behala.
• It is a part of National Highway 12.

The correct answer is monoatomic.

• Argon is monoatomic.​

Important Points

• Argon is a chemical element with the atomic number 18.
• It is a Nobel gas.
• It is in group 18 of the periodic table.
• Argon is the third most abundant gas in the Earth's atmosphere (0.094%)
• Uses: Fluorescent Lightning, Gas Discharge Tubes, Fluorescent Glow Starters.

Additional Information

• Monoatomic: Elements that have only one atom in their molecule are called monoatomic elements. Example:- Ne, Ar are all noble gases.
• Diatomic: Elements having two atoms are called diatomic molecules. Example:- Oxygen.
• Triatomic: Elements that have three atoms are called triatomic elements. Example:- Ozone.
• Polyatomic: Elements in which more than two atoms are bonded by covalent bonds are called polyatomic elements. Example:- Selenium.

The correct answer is Atal Mission for Rejuvenation and Urban Transformation.

• Atal Mission for Rejuvenation and Urban Transformation is the full form of AMRUT.
• AMRUT scheme was launched under the sanitation program in 2015.​

Key Points

• AMRUT was launched in 2015 by Prime minister Narendra Modi with a focus to establish an infrastructure that could ensure adequate robust sewage networks and water supply for urban transformation by implementing urban revival projects.
• Mission: the purpose of the mission is to ensure every household has access to the tap.
• Develop greenery and well-maintained open spaces.
• Reduce pollution.
• Digital and smart facilities.

The correct answer is Tanvi Shah.

• Tanvi Shah is the first female from India to win a Grammy award.​

Important Points

• Tanvi Shah, hailing from Tamil Nadu, was born on 1 December 1985.
• She has sung in Telugu, Tamil, Hindi, Spanish, Portuguese, Arabic.
• He shared the Grammy Award for Best Song Written for Visual Media with AR Rahman and Gulzar at the 52nd Grammy Awards for the song Jai Ho for writing Spanish lyrics for the song.
• Other Awards: BMI Award in 2009, World Sound Track Award (2009).
• The Grammy Award is an award presented by the US Recording Academy to recognize the "outstanding achievement in the music industry" of the United States.
• The trophy shows a gilded gramophone.
• The Grammys are the first big three network major music awards to be held annually.

The correct answer is Tea.

• ‘Oolong’ is a variant of Tea.

Important Points

• Oolong is a traditional Chinese tea.
• It is made from the leaves of the Camellia Sinensis plant.
• Note: The same plant is used to make Green tea and Black tea.
• The process of oxidation is what creates green, dark, and oolong tea.
• Oolong is created when leaves are wilted in the sun and slightly bruised to create partial oxidation.

The correct answer is Minimum Support Price.

Important Points

• Minimum Support Prices are the prices at which the government procures certain crops from farmers to insure them against any sharp fall in prices.
• It is an integral component of Agriculture price policy which strives to ensure support and affordable prices to the consumer.
• The government declares MSP based on the recommendations of the Commission for Agricultural Costs and Prices (CACP).
• Factors for fixing MSP: Cost of Production, domestic and international prices, demand and supply conditions, intercrop price parity, terms of trade between agriculture and non-agriculture sectors.
• The concept of MSP emerged in 1966 with the green revolution.

The correct answer is Repealed.

• List of abbreviations used in the Constitution of India:
• Art., arts. for Article, articles.
• Cl., cls. - Clause, clauses.
• C.O. - Constitution Order.
• Ins. - Inserted.
• P., pp. - Page, pages.
• Pt. - Part.
• Rep. - Repealed.
• Sec., ss. - Section, sections.
• Sch. - Schedule.
• Subs. - Substituted.
• w.e.f. - with effect from.

Additional Information

• Thus, the Constitution of India repealed the Indian Independence Act 1947 and the Government of India Act 1935 when it came into effect on 26 January 1950.
• India ceased to be a dominion of the British Crown and became a sovereign democratic republic with a constitution.

The correct answer is Kamet.

• Kamet is the Himalayan peak that is NOT located in Nepal.​

Important Points

• Kamet is the second-highest mountain in the Garhwal region of Uttarakhand, India after Nanda Devi.
• It lies in the Chamoli district of Uttarakhand.
• Glaciers: The West Kamet Glacier, The East Kamet Glacier, and the Raikana Glacier system surrounds Kamet.
• Rivers: The west Kamet glacier drains into the Saraswati River and the east Kamet glacier feeds the Dhauliganga River.

Additional Information

• Makalu is located in the Mahalangur Himalayas southeast of Mount Everest on the border between Nepal and Tibet Autonomous Region.
• It is the fifth highest mountain in the world at 8485 m (approx).
• Mount Everest the Earth's highest mountain above sea level is located in the Mahalangur Himal sub-range of the Himalayas.
• The China-Nepal border runs across its summit point.
• Annapurna is a mountain situated in the Annapurna mountain range of Gandaki Province, north-central Nepal.
• It is the tenth-highest mountain in the world at 8091 m(approx) above sea level.

The correct answer is Neeraj Chopra.

• Neeraj Chopra became the first Indian javelin thrower to win an Asian Games gold medal in 2018.​

Important Points

• Neeraj Chopra is an Indian track and field athlete who competes in the Javelin throw.
• He is ranked second by World Athletics(as of August 2021).
• Chopra is the first track and field athlete to win a gold medal for India at the Olympics.
• Achievements: IAAF World U20 Championships- in 2016 he achieved a world under-20 record throw of 86.48m, In the 2020 Tokyo Olympics Chopra won a gold medal on 7th August 2021.

Additional Information

• Devender Singh is a contemporary well-known artist from Punjab, his well-known paintings include a series made on Bara Maha.
• Vipin Kasana is an Indian athlete who competes in the Javelin throw.
• Shivpal Singh is an Indian athlete who competes in the Javelin throw. He is from Uttar Pradesh

The correct answer is Bhawna Kanth.

• Bhawna Kanth is the first-ever woman fighter pilot to have taken part in a Republic Day Parade.​

Key Points

• Bhawna Kanth is one of the first female fighter pilots of India.
• She was declared as first combat pilot along with two of her cohort Mohana Singh and Avani Chaturvedi.
• After the government decided to open the fighter stream in Indian Air Force for women on an experimental basis the trio was inducted into Indian Air Force Fighter Squadron in 2016.
• Kanth who hails from Darbhanga, Bihar was born on 1 December 1992.
• Note: On March 9, 2020, Bhawna Kanth has been awarded Nari Shakti Puraskar by the President of India Ram Nath Kovind.

Additional Information

• Mohana Singh Jitarwal is one of the first female fighter pilots of India. She was declared as the first female combat pilot along with two of her cohort, Bhawana Kanth, and Avani Chaturvedi.

The correct answer is Alexander Cunningham.

• Alexander Cunningham was the first Director-General of the Archaeological Survey of India.

Important Points

• Alexander Cunningham was a British Engineer.
• In 1861 he was appointed to the newly created position of archeological surveyor of the government of India.
• He was the founder and organizer of the Archaeological Survey of India.
• Archaeological Survey of India is an Indian Government Agency attached to the Ministry of Culture.​

Additional Information

• John Marshall was the director-general of the Archaeological Survey of India from 1902 to 1928.
• Lord Curzon is the British governor-general known for the partition of Bengal.
• Sir Robert Eric Mortimer Wheeler was a British archaeologist and officer in the British Army.

The correct answer is Six.

• Six states were proposed under World Bank aided ‘STARS’ project under the New Education Policy.​

Key Points

• STARS project aims at improving overall monitoring and measurement activities in the Indian school education system through interventions in selected states.
• ​Strengthening Teaching Learning and Results for the States will play a vital role in implementing the New Educational Policy 2020 which seeks to strengthen foundation learning, early childhood education, improvement of learning assessment, development of teachers, vocational education.
• An agreement has been signed by the Ministry of Education, Department of Economic Affairs, World Bank for financial assistance of Rs.5718 crores.
• The six states include Himachal Pradesh, Rajasthan, Maharashtra, Madhya Pradesh, Kerala, Odisha.
• The National Education Policy 2020 outlines the vision of the new education system in India.

The correct answer is Madurai.

• Float Festival is one of the main festivals celebrated in Madurai.​​​

Important Points

• Float festival which attracts many tourists and pilgrims is one of the main festivals celebrated in Madurai.
• Float festival is also known as Theppotsavam.
• Significance: During the festival, the devotees worship God Sundaresa(incarnation of Lord Shiva), Meenakshi(incarnation of Lord Parvati)
• It takes place on the full moon night of Tamil month, Thai which falls between mid-January and mid-February
• Background: The festival dates back to 17 the century
• ​It was celebrated first time by Thirumalai Nayak.
• An artificial tank was constructed, then Lord Vigneswara temple was built in the middle of the island.
• A custom of taking the idols for a boat ride in the tank was initiated by him.
• Float festival also celebrates the birthday of King Nayak.

Additional Information

• Kannur is a city in the south Indian state of Kerala.
• Kanyakumari is a coastal town in the state of Tamil Nadu.
• Puducherry is a Union Territory bounded by southeastern Tamil Nadu state.

Given:

Time taken to complete a work by A = 2 days

Time taken to complete a work by B = five times the same work in 15 days

Formula used:

Work = Efficiency × Time

Calculation:

Time taken to complete a work by B = five times the same work in 15 days = (15/5) 

⇒ 3 days

A work for ten hours a day = (2 × 10) = 20 

B works for ten hours a day = (3 × 10) = 30

LCM of 20 and 30 is 60

Efficiency of A = (60/20) = 3 units/day

Efficiency of B = (60/30) = 2 units/day

Time taken by A and B together to complete a work = [60/(3 + 2)]

⇒ (60/5)

⇒ 12 hrs

Now,

Addition hours required to complete the work by them = (12 – 10) hrs

⇒ 2 hrs

∴ The required additional time is 2 hrs

Shortcut Trick

So, 

A + B will complete in 60/5 = 12 hours

So, extra time = 12 - 10 = 2 hours

Given:

Sides of a triangle = 12 m, 35 m and 37 m

The ratio of area of a rectangular field = 7 : 3

Formula used:

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

Perimeter of rectangle = 2(l + b)

Area of rectangle = (l × b)

Calculation:

Let the ratio of rectangle be 7x and 3x respectively.

According to the question

Area of right angled triangle = (1/2 × 12 × 35) m²

⇒ (6 × 35) m²

⇒ 210 m²

Now,

Area of rectangle = (7x × 3x) = 210

⇒ 21x² = 210

⇒ x² = 10

⇒ x = √10 m

Now,

Perimeter of rectangle = 2(7x + 3x)

⇒ 2 × 10x

⇒ 2 × 10√10

⇒ 20√10 

∴ The required perimeter of rectangle is 20√10

Given:

Ratio of two numbers = 2 : 3

Ratio after subtracting 5 from first number and 6 is added to the second number = 5 : 12

Calculation:

Let the two numbers be 2x and 3x respectively.

According to the question

⇒ (2x – 5)/(3x + 6) = 5/12

⇒ 24x – 60 = 15x + 30

⇒ (24x – 15x) = (30 + 60)

⇒ 9x = 90

⇒ x = 10

The first number = 2x = (2 × 10) = 20

The second number = 3x = (3 × 10) = 30

Now,

The ratio become when eight is added to each number = (20 + 8) : (30 + 8)

⇒ 28 : 38

⇒ 14 : 19

∴ The required ratio is 14 : 19

Given:

x – y = 4 and x3 – y3 = 316

Formula used:

x³ – y³ = (x – y) (x² + xy + y²)

Calculation:

x3 – y3 = (x – y) (x2 + xy + y2)

Putting the value of (x – y) and (x³ – y³)

⇒ 316 = (4) × (x – y)² + 3xy

⇒ 316 = (4) × [(4)² + 3xy]

⇒ 316 = 4 × (16 + 3xy)

⇒ 316 = 64 + 12xy

⇒ 12xy = 252

⇒ xy = 21

Now, 

The value of x = 7 and y = 3

 x4 – y4 = (x² – y²)(x² + y²)

⇒ (x – y)(x + y)(x² + y²)

⇒ (7 – 3)(7 + 3)(7² + 3³) 

⇒ [4 × 10 × (49 + 9)]

⇒ (40 × 58)

⇒ 2320

∴ The required value is 2320

Given:

The six digit number = 823p2q

Concept used:

Divisibility rule of  7 - The difference between twice the unit digit of the given number and the remaining part of the given number should be a multiple of 7 or it should be equal to 0.

Divisibility rule of 11 - If the difference between the sum of the digits at the odd and even places equals 0 or divisible by 11, then the number is divisible by 11.

Divisibility rule of 13 -  A number is divisible by 13 when the ones place digit of a number is multiplied by 4 and the product is added to the rest of the number either gives 0 or a multiple of 13.

7 × 11 × 13 = 1001, when any three digit number multiplied by 1001 then it repeats itself and always completely divisible by 7, 11 and 13.

Calculation:

Let 2 digit number be prq.

⇒ prq × 1001 = 823p2q

⇒ prqprq = 823p2q

compare both sides

⇒ p = 8, q = 3

Hence that number is 823823.

⇒ 823p2q = 823823

By comparing both number, p = 8 and q = 3

Now,

Required value = (p – q) = (8 – 3)

⇒ 5

∴ The required value is 5.

Given:

Rate (R) = 10%

Annual installment (x) = Rs. 6534

Total number of installments (N) = 2

Formula used:

P = [x/(1 + R/100)] + [x/(1 + R/100)²] + ........ + [x/(1 + R/100)ⁿ] 

Calculation:

Total number of installments = 2

The value of 2 installments = Rs. (2 × 6534)

⇒ Rs. 13068

Now,

P = [x/(1 + R/100)] + [x/(1 + R/100)2]

⇒ P = [6534/(1 + 10/100)] + [6534/(1 + 10/100)²]

⇒ P = [6534/(110/100)] + [6534/(110/100 × 110/100)]

⇒ P = (6534 × 10/11) + (6534 × 10/11 × 10/11)

⇒ P = 5940 + 5400

⇒ P = Rs. 11340

Total interest charged = Value of 2 installments – Principal borrowed

⇒ Total interest charged = Rs. (13068 – 11340)

⇒ Rs. 1728

∴ The total interest charged in this installment scheme is Rs. 1728

Shortcut TrickCalculation:

Now,

121 units = Rs.6534

1 unit = 6534/121 = Rs.54

(110 + 100) = 210 units = 210 × 54 = Rs.11,340

So total amount paid = 2 × 6534 = 13068

Interest = (13068 - 11340) = Rs.1728.

∴ The correct answer is Rs.1728.

Given:

The coefficient of x in the expansion of (3x – 4)³

Formula used:

(a – b)³ = a³ – b³ – 3ab(a – b)

Calculation:

According to the question

(3x – 4)³ = (3x)³ – (4)³ – 3 × 3x × 4(3x – 4)

⇒ 27x³ - 64 - 36x(3x – 4)

⇒ 27x³ - 64 - 108x² + 144x

Now, 

The coefficient of x in the expansion is 144

∴ The required value of x is 144

Calculation:

According to the question

Sale is 80% or more but less than 90% of the production in 2015 = (1250 × 80/100)

⇒ 1000

It is 80% or more but less than 90% of the production.

So, it is possible.

Sale is 80% or more but less than 90% of the production in 2016 = (1400 × 80/100)

⇒ 1120

Here sale is 1290, it is more than 90% of the production.

⇒ 90% = (1400 × 90/100) = 1260

So, it is not possible.

Sale is 80% or more but less than 90% of the production in 2017 = (1450 × 80/100)

⇒ 1160

Sale is 80% or more but less than 90% of the production in 2018 = (1500 × 80/100)

⇒ 1200

Here sale is 1450, it is more than 90% of the production 

So, it is not possible.

Sale is 80% or more but less than 90% of the production in 2019 = (1600 × 80/100)

⇒ 1280

Here sale is 1390. It is less than 90% of the production

⇒ 90% × 1600 = 1440

It is 80% or more but less than 90% of the production.

So, it is possible.

∴ The required year is 2015, 2019

Given:

The average weight of a certain number of students in a class = 55.5 kg

4 students with average weight 60 kg join the class, the average weight of all students in the class increases by 360 g (0.360 Kg). 

Formula used:

Average = sum of observations/Number of observations

Calculation:

Let the number of students initially be x.

Sum = Average × Number of students

Total initial weight = 55.5x kg

Weight of new students = (4 × 60) = 240 kg

The new average = 55.5 + 0.360 = 55.86

New average = (55.5x + 240)/(x + 4) = 55.86

⇒ 55.5x + 240 = 55.86x + 223.44

⇒ (55.86x – 55.5x) = (240 – 223.44)

⇒ 0.36x = 16.56

⇒ x = (16.56/0.36)

⇒ x = 46

∴ The number of students in the class, initially, is 46

Calculation:

The mark of student B in Math = (92 × 150/100) = 138

The mark of student C in Math = (80 × 150/100) = 120

The mark of student D in Math = (74 × 150/100) = 111

The mark of student F in Math = (84 × 150/100) = 126

Total marks of B, C, D and F in Math = (138 + 120 + 111 + 126)

⇒ 495

The average marks of students B, C, D and F in Math = (495/4)

⇒ 123.75

∴ The required average marks is 123.75

Alternate Method The average percentage of students B, C, D and F in Math = (92 + 80 + 74 + 84)/4 = 330/4 = 82.5

The average marks of the four students in Math = 82.5% of 150 = 123.75

Hence the required average marks is 123.75

Concept Used:       

Follow the BODMAS rule according to the table given below:

Calculation:

8 ÷ 4 of 2 - 15 ÷ 2 of 5 - 6 ÷ 5 × (-7 + 5) of 2

⇒ 8 ÷ 4 of 2 – 15 ÷ 2 of 5 – 6 ÷ 5 × (-2) of 2

⇒ 8 ÷ 8 – 15 ÷ 2 of 5 – 6 ÷ 5 × (-2) of 2

⇒ 8 ÷ 8 – 15 ÷ 10 – 6 ÷ 5 × (-2) of 2

⇒ 8 ÷ 8 – 15 ÷ 10 – 6 ÷ 5 × (-4)

⇒ 1 – 15 ÷ 10 – 6 ÷ 5 × (-4)

⇒ 1 – 3/2 – 6 ÷ 5 × (-4)

⇒ 1 – 3/2 – 6/5 × (-4)

⇒ 1 – 3/2 + 24/5

⇒ (10 – 15 + 48)/10

⇒ (-5 + 48)/10

⇒ 43/10

⇒ $4 \frac{3}{10}$

∴ The required value is $4 \frac{3}{10}$

Given:

BP : PC = 1 : 2

Formula used:

Cosine formula 

cosθ = (b2 + c2 – a2)/2bc

Calculation:

∠ ABC = 60° (angle of an equilateral triangle)

Now, according to the question - 

BC = BP : PC = 1 : 2

BP = (1 × 3√7)/3 = √7

PC = (2 × 3√7)/3 = 2√7

Now,

Apply cosine rule on Δ APB

⇒ cos 60° = (b² + c² – a²)/2bc

⇒ 1/2 = {(3√7)² + (√7)² – (AP)²}/(2 × 3√7 × √7)

⇒ 1/2 = {(63 + 7) – (AP)²}/42

⇒ 1/2 = {70 – (AP)²}/42

⇒ (AP)² = (70 – 21)

⇒ (AP)² = 49

⇒ AP = 7

∴ The required value is 7

Given:

The marked price = Rs. 5320

Two successive discounts = 15%, and the second at a rate of 20% of the first.

Formula used:

Single discount on two successive discounts = (a + b – ab/100)

Calculation:

Let the selling price be 100

According to the question

The second at a rate of 20% of the first = (20% of 15)

⇒ (20/100 × 15) = 3%

Now, single discount on two successive discount = (a + b – ab/100)

⇒ (15 + 3 – 15 × 3/100)

⇒ (18 – 0.45) = 17.55%

Now, (100 – 17.55)% = 82.45%

Selling price = (82.45% of 5320)

⇒ (82.45/100 × 5320)

⇒ (438634/100)

⇒ Rs. 4386.34 ~ Rs. 4386

∴ The required selling price is Rs. 4386

Mistake PointsNote the language of the question

"second at a rate of 20% of the first " which means 20% of 15 = 3%.

Don't take the second discount = 20 %. 

Alternate MethodGiven that, the marked price is Rs. 5320

According to the question

The second at a rate of 20% of the first = (20% of 15)

⇒ (20/100 × 15) = 3%

Hence, the selling price 

SP =  $5320× (1-\frac{15}{100})(1-\frac{3}{100})$

⇒ SP = (5320 × 85 × 97)/10000

⇒ SP = 4386

Given:

Hari suffered a loss of 8% by selling an article

He had sold it for Rs. 300 more

Formula used:

Loss = CP – SP

Profit = SP – CP

Calculation:

Let the Cost price be 100%

Loss = (100 – 8) 

⇒ 92%

Again,

When there is profit of 4%

Profit = (100 + 4)

⇒ 104%

Difference of an article = (104 – 92)

⇒ 12%

According to the question

⇒ 12% = 300

⇒ 100% = (300 × 100)/12

⇒ Rs. 2500

∴ The required CP is Rs. 2500

Calculation:

According to the question

The number of female teachers Exceed the number of male teachers by more than 500 in East = (2375 – 1650)

⇒ 725

The number of female teachers Exceed the number of male teachers by more than 500 in North = (2651 – 1075) 

⇒ 1576 

The number of female teachers Exceed the number of male teachers by more than 500 in West = (1520 – 1280)

⇒ 220

The number of female teachers Exceed the number of male teachers by more than 500 in South = (1170 – 1085)

⇒ 85

The number of female teachers Exceed the number of male teachers by more than 500 in Central = (859 – 690)

⇒ 169

∴ The number of female teachers Exceed the number of male teachers by more than 500 in East and North

Given:

Price decreased on Monday = 10%

Price increased on Tuesday = 20%

Price increased on Wednesday = 8%

Price increased on Thursday = 5%

Final price of one gram gold coin = Rs. 5511.24

Calculation:

According to the question

Let the price be 100%

Price decreased on Monday = (90/100) = 9/10

Price increased on Tuesday = (120/100) = 6/5

Price increased on Wednesday = (108/100) = 27/25

Price increased on Thursday = (105/100) = 21/20

Now,

⇒ (9/10 × 6/5 × 27/25 × 21/20) = 5511.24

⇒ 30618/25000 = 5511.24

⇒ (5511.24 × 25000)/30618

⇒ (137,781,000/30618)

⇒ Rs. 4500

∴ The initial price of one gram gold coin on Monday was Rs. 4500

Calculation:

Number of mark obtained by student F in English = (72 × 50/100) = 36

Number of mark obtained by student F in Science = (65 × 80/100) = 52

Number of mark obtained by student F in Hindi = (60 × 75/100) = 45

The total marks obtained by student F in English, Science and Hindi = (36 + 52 + 45)

⇒ 133

Number of mark obtained by student A in English = (70 × 50/100) = 35

Number of mark obtained by student A in Mathematics = (90 × 150/100) = 135

Number of mark obtained by student A in Science = (65 × 80/100) = 52

Number of mark obtained by student A in Hindi = (64 × 75/100) = 48

The total marks obtained by student A in English, Mathematics, Science and Hindi = (35 + 135 + 52 + 48)

⇒ 270

The total marks obtained by student F in English, Science and Hindi is approximately what percent of the total marks obtained by student A in English, Mathematics, Science and Hindi = (133/270 × 100)

⇒ 49.259% ~ 49.3%

∴ The required percentage is 49.3

Given:

x + y + z = 3, xy + yz + zx = -12 and xyz = -16

Formula used:

x³ + y³ + z³ – 3xyz = (x + y + z) [(x + y + z)² – 3(xy + yz + zx)]

Calculation:

According to the question

x3 + y3 + z3 – 3xyz = (x + y + z) [(x + y + z)2 – 3(xy + yz + zx)]

⇒ x3 + y3 + z3 – 3 (-16) = 3 [(3)² – 3(-12)]

⇒ x³ + y³ + z³ + 48 = 3(9 + 36)

⇒ x3 + y3 + z3 + 48 = 3(45)

⇒ x3 + y3 + z3 + 48 = 135

⇒ x3 + y3 + z³ = (135 – 48)

⇒  x3 + y3 + z³ = 87

Now,

$√{x^3 + y^3 + z^3 + 13}$ = √(87 + 13)

⇒ √100

⇒ 10

∴ The required value is 10

Given:

PE = 2 cm

EQ = 3 cm

Concept used:

The basic proportionality theorem states that if a line is drawn parallel to one side of a triangle and it intersects the other two sides at two distinct points then it divides the two sides in the same ratio.

For similar Triangles,

area(ΔPQR) : area(ΔPEF) = PQ2/PE² = PR²/PF² = QR²/EF²

Calculation:

According to the question

PQ = (PE + EQ)

⇒ (2 + 3)

⇒ 5 cm

From the Basic Proportionality theorem,

⇒ PE/PQ = PF/PR

and, ∠PEF = ∠PQR   (Corresponding angle)  

∴ ΔPEF ∼ ΔPQR  

Now,

PQ²/(PE)²

= (5)²/(2)²

= 25/4

Now,

area(ΔPQR) : area(ΔPEF) = PQ²/PE²

⇒ 25/4

∴ The required ratio is 25 : 4

Given:

sin2 60° cos2 45° + 2 tan2 60° – cosec2 30°

Formula used:

sin60° = √3/2

cos45° = 1/√2

tan60° = √3

cosec30° = 2

Calculation:

sin2 60° cos2 45° + 2 tan2 60° – cosec2 30°

⇒ (√3/2)² × (1/√2)² + 2 × (√3)² – (2)²

⇒ (3/4 × 1/2) + (2 × 3 – 4)

⇒ (3/8 + 2)

⇒ (3 + 16)/8

⇒ 19/8

∴ The required value is 19/8

Given:

sec4 θ(1 – sin4 θ) – 2tan2 θ

Formula used:

1 – sin²θ = cos²θ 

Calculation:

sec4 θ(1 – sin4 θ) –  2tan2 θ

⇒ 1/cos⁴θ [1 – (sin²θ)² ] – 2 × sin²θ/cos²θ 

⇒ 1/cos⁴θ(1 + sin²θ) (1 – sin²θ) – 2sin²θ/cos²θ 

⇒ 1/cos⁴θ × cos²θ (1 + sin²θ) – 2sin²θ/cos²θ 

⇒ (1 + sin²θ)/cos²θ – 2sin²θ/cos²θ 

⇒ (1 + sin²θ – 2sin²θ)/cos²θ 

⇒ (1 – sin²θ)/cos²θ 

⇒ cos²θ/cos²θ 

⇒ 1

∴ The required value is 1

Shortcut Trick

We can also put θ = 45° 

⇒ sec⁴45°(1 - sin⁴45°) - 2tan²45° 

⇒ (√2)⁴[1 - (1/√2)⁴] - 2(1)

⇒ 4[1 - 1/4] - 2

⇒ 3 - 2

⇒ 1

Given:

$\frac{\tan 13^\circ \tan 36^\circ \tan 45^\circ \tan 54^\circ \tan 77^\circ}{2 \sec ^2 60^\circ (\sin^2 60^\circ - 3 \cos 60^\circ + 2)}$

Formula used:

tan45° = 1

sec60° = 2

cos60° = 1/2

Calculation:

$\frac{\tan 13^\circ \tan 36^\circ \tan 45^\circ \tan 54^\circ \tan 77^\circ}{2 \sec ^2 60^\circ (\sin^2 60^\circ - 3 \cos 60^\circ + 2)}$

⇒ tan(90° – 77°) tan(90° – 54°) 1 × tan54° × tan77°/[2 × (2)²(√3/2)² – 3 × 1/2 + 2)]

⇒ 1/{2 × 4(3/4 – 3/2 + 2)}

⇒ 1/{8(3 – 6 + 8)/4}

⇒ 1/(8 × 5/4)

⇒ 1/(2 × 5)

⇒ 1/10

∴ The required value is 1/10

Given:

Radius of two circles = 15 cm and 37 cm

Length of common chord = 24 cm

Formula used:

Pythagoras Theorem,

Hypotenuse² = Opposite² + Adjacent²

Calculation:

AB = 24 cm

⇒ AM = MB = 12 cm

In ΔAMO

(OM)² = (AO)² – (AM)²

(OM)² = (37)² – (12)²

⇒ (OM)² = (1369 – 144)

⇒ (OM)² = 1225

⇒ OM = 35 cm

In ΔAMO'

(O'M)² = (AO')2 – (AM)²

(O'M)² = (15)² – (12)²

⇒ (O'M)² = (225) – (144)

⇒ (O'M)² = 81

⇒ O'M = 9 cm

Now,

O'O = OM + O'M = (35 + 9)

⇒ 44 cm

∴ The distance between the center of the circles is 44 cm

Shortcut Trick

Upstream speed (U) = 30 ÷ 3 = 10 km/h

Downstream speed (D) = 30 ÷ 1 = 30 km/h

Boat speed in still water (V) = (30 + 10) ÷ 2 = 20 km/h

Required Time = 60 ÷ 20 = 3 hr

∴ The correct answer is 3 hr.

Alternate Method

Given:

Upstream Distance = 30 km

Upstream Time = 3 hr

Downstream Distance = 30 km

Downstream Time = 1 hr

Target Distance in still water = 60 km

Formula Used:

Upstream Speed (U) = Distance ÷ Upstream Time

Downstream Speed (D) = Distance ÷ Downstream Time

Boat Speed in Still Water (V) = (D + U) ÷ 2

Time Taken = Target Distance ÷ Boat Speed in Still Water

Calculations:

⇒ Upstream speed (U) = 30 ÷ 3 = 10 km/h

⇒ Downstream speed (D) = 30 ÷ 1 = 30 km/h

⇒ Speed of boat in still water (V) = (30 + 10) ÷ 2

⇒ V = 40 ÷ 2 = 20 km/h

⇒ Time taken to cover 60 km = 60 ÷ 20

⇒ Time taken = 3 hr

∴ The correct answer is 3 hr.

Additional Information

Boat Speed in Still Water

The speed of a boat in still water is the average of downstream speed and upstream speed: V = (D + U) ÷ 2.

Speed of the Stream

The speed of the water current or stream is half the difference between downstream speed and upstream speed: W = (D − U) ÷ 2.

Downstream and Upstream Relation

Downstream speed (D) = V + W, and Upstream speed (U) = V − W, where V is the boat speed in still water and W is the stream speed.

Given:

∠APB = 122° 

Concept used:

Sum of opposite sides of a cyclic quadrilateral are 180°

The angle subtended by an arc of a circle at its center is twice the angle it subtends anywhere on the circle’s circumference.

Calculation:

In the given figure,

APBT is a cyclic quadrilateral.

∠ATB + ∠APB = 180° [sum of opposite angles are 180°]

⇒ x° + 122° = 180° 

⇒ x = (180° – 122°)

⇒ x = 58° 

∠ATB = 58° 

And we know that the angle subtended by an arc of a circle at its center is twice the angle it subtends anywhere on the circle’s circumference.

⇒ ∠AOB = 2 × ∠ATB

⇒ ∠AOB = 2 × 58° 

⇒ ∠AOB = 116° 

Now,

OA = OB [radius of the circle]

Then,

∠OAB + ∠AOB + ∠OBA = 180° 

⇒ θ + 116° + θ = 180° 

⇒ 2θ + 116° = 180° 

⇒ 2θ = (180° – 116°)

⇒ 2θ = 64° 

⇒ θ = 32° 

so,

∠OAB = θ = 32° 

∴ The required value of ∠OAB is 32°.

Shortcut Trick 

From the above given diagram we have

⇒ θ = P - 90°

⇒ θ = 122° - 90° = 32°

∴ The correct answer is 32°.

The correct answer is 'the biggest enterprise' i.e. this part of the sentence has an error.

Key Points

• In the given sentence, the singular form of the noun ''enterprise'' is incorrect.
• The phrase ''One of'' in the given sentence is a singular term and is generally used to talk about a noun or a pronoun.
• The noun or a pronoun used after the phrase ''one of'' is always in the plural form (as we are talking of one person/place/thing out of many).
• Therefore, the plural form of the noun ''enterprises'' should be used in place of the singular noun 'enterprise'.
• Also, the helping verb will always be in the singular form (here, is), as the helping verb agrees with ''one of'' and not with the plural noun in the sentence.
  

Hence, the correct answer is option 1.

Correct sentence: One of the biggest enterprises in India is declaring a lockout.

<br>

Additional Information

• Subjects and verbs must agree with one another in number (singular or plural). (विषय और क्रिया एक दूसरे के साथ संख्या (एकवचन या बहुवचन) में सहमत होना चाहिए)
• Thus, if a subject is singular, its verb must also be singular; if the subject is plural, its verb must also be plural. (इस प्रकार, यदि कोई विषय एकवचन है , तो उसकी क्रिया भी एकवचन होनी चाहिए ; यदि विषय बहुवचन है , तो उसकी क्रिया भी बहुवचन होनी चाहिए)
  

Hinglish

• दिए गए वाक्य में noun ''enterprise'' का एकवचन रूप गलत है।
• दिए गए वाक्य में phrase ''One of'' एकवचन शब्द है और आमतौर पर संज्ञा या सर्वनाम के बारे में बात करने के लिए प्रयोग किया जाता है।
• Phrase ''one of'' के बाद प्रयुक्त संज्ञा या सर्वनाम हमेशा बहुवचन रूप में होता है (जैसा कि हम कई में से एक व्यक्ति/स्थान/वस्तु की बात कर रहे हैं)।
• इसलिए एकवचन noun 'enterprise' के स्थान पर बहुवचन noun ''enterprises'' का प्रयोग किया जाना चाहिए।
• साथ ही, सहायक क्रिया हमेशा एकवचन रूप में होगी (यहाँ, is), क्योंकि सहायक क्रिया 'one of' से सहमत होती है, न कि वाक्य में बहुवचन संज्ञा के साथ।
  

अत: सही उत्तर विकल्प 1 है।

सही वाक्य: One of the biggest enterprises in India is declaring a lockout.

The correct answer is 'from childhood' i.e. this part of the sentence has an error.

Key Points

• In the given sentence, the use of the preposition 'from' is incorrect.
• The preposition 'from' is used for showing the place, direction, or time that somebody or something starts or started.
• The use of the word 'childhood' in the sentence indicates the time when you are a child.
• Therefore, the preposition 'since' should be used in place of the preposition 'from'.
• The preposition 'since' means from a particular time in the past until a later time in the past or until now.
  

Hence, the correct answer is option 1.

Correct Sentence: I never miss a cricket match as I am fond of cricket since childhood.

Hinglish

• दिए गए वाक्य में preposition 'from' का प्रयोग गलत है।
• Preposition 'from' का अर्थ है स्‍थान, दिशा या समय की दृष्टि से किसी व्‍यक्ति या वस्‍तु के कुछ आरंभ करने या होने का सूचक; से।
• वाक्य में 'childhood' शब्द का प्रयोग उस समय को इंगित करता है जब आप बच्चे होते हैं।
• इसलिए, preposition 'since' का प्रयोग preposition 'from' के स्थान पर किया जाना चाहिए।
• Preposition 'since' का अर्थ है अभी तक; तब से अब तक।
  

अतः सही उत्तर option 1 है।

सही वाक्य: I never miss a cricket match as I am fond of cricket since childhood.

The correct answer is 'Ocassion.'

Key Points

• Let us explore the options:-
• 'Liaison' means communication between two or more people or groups that work together. (मेल जोल, ताल्लुक़, संबंध)
• 'Ocassion': There is no such word in English or we can say that there is some spelling mistake in this word.
• ​The correct spelling is 'Occasion' and it means a special or noteworthy event, ceremony, or celebration. (कोई विशेष अवसर, कर्मकांड आदि)
• 'Unison' means simultaneous performance or utterance of action or speech. (एक साथ प्रदर्शन या कार्रवाई या भाषण का उच्चारण; सामंजस्य)
• 'Vehemence' means great forcefulness or intensity of feeling or expression. (उत्साह; जोश)
  

Hence, the correct answer is option 2.

Additional Information

• Example of 'Occasion' in a sentence:
• Christmas, 1951, was a very special occasion.

The correct answer is 'ACBD.'

Key Points

• The sentence 'A' is independent of any other sentence as it is giving general information about "temple architecture". Hence, 'A' is the first part.
• Sentence C will come after A as it is giving information about the finest example of temple architecture (Konark Temple in Puri).
• Sentence B will come after C as it is giving information about the curiosity behind the visit of thousands of people to the city 'Puri'.
• The sentence 'D' is the concluding part as it is giving information about the material used to carve the chariot-shaped temple.
  

Paragraph after rearranging the sentences: Sculpture and painting form an integral part of temple architecture. The finest example of this is Konark Temple in Puri. The city is visited by thousands curious to see the temple in the form of a chariot. The chariot with immense wheels and horses is carved from stone.

Hint

• Important Rules to Solve the Para Jumbles:
• Read the sentences attentively and try to comprehend the idea or theme of the sentence and eliminate the irrelevant options.
• Try to identify the opening (independent sentence) and closing sentences (concluding sentence).
• Try to identify the mandatory pairs. Two sentences can be connected through various connectors and other determinants.
  

Hinglish

• वाक्य 'A' किसी अन्य वाक्य से स्वतंत्र है क्योंकि यह "मंदिर वास्तुकला" के बारे में सामान्य जानकारी दे रहा है। अतः 'A' पहला भाग है।
• वाक्य C, A के बाद आएगा क्योंकि यह मंदिर वास्तुकला (पुरी में कोणार्क मंदिर) के बेहतरीन उदाहरण के बारे में जानकारी दे रहा है।
• वाक्य B, C के बाद आएगा क्योंकि यह हजारों लोगों के पुरी शहर की यात्रा के पीछे की जिज्ञासा के बारे में जानकारी दे रहा है।
• वाक्य 'D' समापन भाग है क्योंकि यह रथ के आकार के मंदिर को तराशने के लिए प्रयुक्त सामग्री के बारे में जानकारी दे रहा है।

The correct answer is The French scientist said that he wanted to study how bees and wasps found their way home.

Key Points

• The given sentence is a direct speech.
• The basic rules for changing or converting direct speech into indirect speech:​
• The commas, inverted commas are removed, and 'that' is added.
• The first-person pronoun ''I'' becomes the third-person pronoun ''he''.
• The present simple tense format 'Subject + V1 (want) + Object' will be changed into the past simple tense format 'Subject + V2 (wanted) + Object'.
• The present simple tense format 'Subject + V1 (find) + Object' will be changed into the past simple tense format 'Subject + V2 (found) + Object'.
  

Hence, the correct answer is option 4.

Additional Information

• The following table will enable us to know how tense changes into Indirect speech:-

 

Hinglish

• दिया गया वाक्य direct speech है।
• Direct speech को indirect speech में बदलने या बदलने के लिए बुनियादी नियम:
• Commas, inverted commas हटा दिए जाते हैं और 'that' जोड़ा जाता है।
• The first-person pronoun ''I'', third-person pronoun ''he'' बन जाता है।
• Present simple tense format 'Subject + V1 (want) + Object' को past simple tense format 'Subject + V2 (wanted) + Object' में बदल दिया जाएगा।
• Present simple tense format 'Subject + V1 (find) + Object' को past simple tense format 'Subject + V2 (found) + Object' में बदल दिया जाएगा।
  

अत: सही उत्तर विकल्प 4 है।

The correct answer is 'Dissapoint.'

Key Points

• Let us explore the options:-
• 'Dissapoint': There is no such word in English or we can say that there is some spelling mistake in this word.
• ​The correct spelling is 'Disappoint' and it means to fail to fulfill the hopes or expectations of someone. (निराश करना, हताश करना)
• 'Desperate' means wanting or needing something very much. (किसी वस्‍तु के लिए अत्‍यधिक व्‍यग्र; बेकरार)
• 'Discourage' means to cause someone to lose confidence or enthusiasm. (निरुत्साहित करना; हतोत्साह करना)
• 'Disastrous' means terrible, harmful, or failing completely. (अनर्थकारी; दु:खद, विनाशकारी)
  

Hence, the correct answer is option 1.

Additional Information

• Example of 'Disappoint' in a sentence:
• It was a tremendous amount of responsibility on Neeraj's shoulders so he didn't disappoint us.

The correct answer is 'accuse.'

Key Points

• The given sentence is talking about someone who has done nothing wrong.
• Therefore, the most appropriate word to be filled in the blank is 'accuse'.
• The word 'accuse' means to say that somebody has done something wrong or broken the law. 
• Example: Politicians accuse the media of talking up the possibility of a riot.
  

Hence, the correct answer is option 2.

Complete Sentence: Do not accuse him; he has done no harm to you.

Additional Information

• Let us explore  the other options:
• 'Admire' means to respect or like somebody/something very much. (किसी के प्रति आदर व प्रशंसा का भाव रखना)
• 'Assure' means to make something sure or certain. (निश्‍चित करना, सुनिश्‍चित करना)
• 'Admit' means to agree that something unpleasant is true or that you have done something wrong. (किसी अप्रिय बात की सत्‍यता स्‍वीकारना या अपनी ग़लती मान लेना)
  

Hinglish

• दिया गया वाक्य किसी ऐसे व्यक्ति के बारे में बात कर रहा है जिसने कुछ भी गलत नहीं किया है।
• इसलिए, रिक्त स्थान में भरने के लिए सबसे उपयुक्त शब्द 'accuse' है।
• 'Accuse' शब्द का अर्थ है किसी व्‍यक्ति पर कुछ गलत करने का आरोप लगाना; क़ानून तोड़ने का दोषी ठहराना।
• उदाहरण: Politicians accuse the media of talking up the possibility of a riot.

<br>

अत: सही उत्तर विकल्प 2 है।

पूर्ण वाक्य: Do not accuse him; he has done no harm to you.

The correct answer is 'he had come to know.'

Key Points

• In the underlined segment, the use of the simple present form of the verb ''come'' is incorrect.
• The given sentence is the third conditional sentence explaining that present circumstances would be different if something different had happened in the past.
• The third conditional sentence structure is as follows:
• If + past perfect..., + conditional perfect (would + have + past participle).
• Conditional perfect (would + have + past participle) + if + past perfect.
• When using the third conditional, we use the past perfect (i.e., had + past participle) in the if-clause and the modal auxiliary (would, could, should, etc.) + have + past participle in the main clause.
• Therefore, the past perfect form of the verb ''had come'' should be used in place of the simple present form of the verb 'come'.
  

Hence, the correct answer is option 3.

Correct sentence: The shopkeeper would have fined her if he had come to know that she damaged the toy on exhibit.

Mistake Points

• Do not get confused between the present and past forms of the verb 'come'.
• Here are the correct forms of come:-

Hinglish

• रेखांकित खण्ड में simple present form of the verb ''come'' का प्रयोग गलत है।
• दिया गया वाक्य third conditional sentence है जो यह बताता है कि यदि अतीत में कुछ अलग हुआ होता तो वर्तमान परिस्थितियाँ भिन्न होतीं।
• Third conditional sentence की संरचना इस प्रकार है:
• If + past perfect..., + conditional perfect (would + have + past participle).
• Conditional perfect (would + have + past participle) + if + past perfect.
• Third conditional का उपयोग करते समय, हम if-क्लॉज में past perfect (had + past participle) का उपयोग करते हैं और modal auxiliary (would, could, should, etc.) + have + past participle, main clause में।
• अतः verb 'come' के simple present form के स्थान पर past perfect form of the verb ''had come'' का प्रयोग किया जाना चाहिए।
  

अतः सही उत्तर option 3 है।

सही वाक्य: The shopkeeper would have fined her if he had come to know that she damaged the toy on exhibit.

The correct answer is 'Create.'

Key Points

• The given word 'Sabotage' means destroying or damaging something deliberately so that it does not work correctly. (जान-बूझ कर तोड़-फोड़ करना)
• Example: The enemy agent used a bomb to sabotage the factory and halt production.
• ​Let's see the meaning of other given options:-
• 'Damage' means to spoil or harm something, for example by breaking it. (हानि पहुँचाना, नुक़सान करना जैसे कुछ तोड़ देना)
• Example: The storm caused property damage.
• 'Cripple' means to seriously damage or harm somebody or something. (किसी को गंभीर रूप से क्षतिग्रस्‍त कर देना)
• Example: A total cut-off of supplies would cripple the country's economy.
• 'Destroy' means to damage something so badly that it can no longer be used or no longer exists. (किसी वस्‍तु को इस तरह हानि पहुँचाना कि वह इस्‍तेमाल न हो सके या समाप्‍त हो जाए, नष्‍ट करना)
• Example: An atomic bomb can destroy the whole universe in no time.
• 'Create' means bring something into existence. (कुछ नया उत्‍पन्‍न, रचना, बनाना, करना; अस्तित्व में लाना)
• Example: To create the wedding cake, the baker needed the cake’s ingredients, a steady hand, and decorations to make the cake perfect.
  

Hence, the correct answer is option 4.

Additional Information

• The antonyms of the word 'Sabotage' are "Create, Build, Conserve".
• The synonyms of the word 'Sabotage' are "Damage, Destroy, Demolish".