SSC GD Constable Previous Year Paper (Held on: 29th November 2021 Shift 2)

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

Conclusions:

I. All boys are married → True (As All boys are graduates and All graduates are married so, All boys are married is true)

II. some graduates are married → True (As All graduates are married is restatement, some  graduates are married is true)

∴ Here, Both the conclusions follow are true.

Hence, the correct answer is "Both the conclusions follow".

The logic followed here is :-

DRON : BPML

Similarly,

HOST : ?

Hence, the correct answer is "FMQR".

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

• Alternate surfaces are opposite to each other.
• No two opposite surface 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 :

1) 

 → Opposite faces are seen together so, this cube cannot be formed.

2) 

 → Opposite faces are seen together so, this cube cannot be formed.

3) 

 → None of the opposite faces are seen together nor they are adjacent to each other so, This cube can be formed.

4) 

 → Opposite faces are seen together so, this cube cannot be formed.

Hence, the correct answer is "option 3".

The logic followed here is :-

Dementia is the medical term which describes the symptom of memory loss.

Similarly,

Insomnia is the medical term which describes sleep disorder.

Hence, the correct answer is "Sleep".

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

• All Cricket players are players.
• Some Students are cricket players.

Hence, the correct answer is "Option 3".

Family chart :

Family Tree :

Dheeraj said to Sandeep, "My mother is the only daughter of your mother."

∴ Here, Dheeraj's mother is 'sister' of Sandeep.

Hence, the correct answer is "Sister".

The logic followed here is :-

By using BODMAS RULE :

1) ×, -, =

Given equation : 13 @ 4 @ 5 @ 57

After inserting the symbols in given equation the equation is as follows : 13 × 4 - 5 = 57

⇒ 13 × 4 - 5 = 57

⇒ 52 - 5 = 57

⇒ 47 ≠ 57

LHS ≠ RHS

2) ×, +, =

Given equation : 13 @ 4 @ 5 @ 57

After inserting the symbols in given equation the equation is as follows : 13 × 4 + 5 = 57

⇒ 13 × 4 + 5 = 57

⇒ 52 + 5 = 57

⇒ 57 = 57

LHS = RHS

3) +, ×, =

Given equation : 13 @ 4 @ 5 @ 57

After inserting the symbols in given equation the equation is as follows : 13 + 4 × 5 = 57

⇒ 13 + 4 × 5 = 57

⇒ 13 + 20 = 57

⇒ 33 ≠ 57

LHS ≠ RHS

4) ÷, -, =

Given equation : 13 @ 4 @ 5 @ 57

After inserting the symbols in given equation the equation is as follows : 13 ÷ 4 - 5 = 57

⇒ 13 ÷ 4 - 5 = 57

⇒ 3.25 - 5 = 57

⇒ - 1.75 ≠ 57

LHS ≠ RHS

Hence, the correct answer is "Option 2: ×, +, =".

The logic followed here is:-

Hence, the correct answer is "EA".

Alternate MethodThe logic followed here is:

Steps:

• +1 is done in the first letter to obtain the next letter.
• A + 1 = B
• B + 1 = C
• C + 1 = D
• D + 1 = E
• Vowels: A, E, I, O, U
• Vowels opposite order: U, O, I, E, A
• Vowel are written in opposite order to obtain the second letter

Hence, the correct answer is "EA".

The logic followed here is :-

Hence, the correct answer is "0".

The logic followed here is:

In column-wise operation: (First Number)² - second number = Third number

Column 3:

⇒ 13² - 46 = 123

⇒ 169 - 46 = 123

⇒ 123 = 123

Column 1:

⇒ 26² - 50 = 626

⇒ 676 - 50 = 626

⇒ 626 = 626

Similarly,

Column 2:

⇒ 18² - 21 = ?

⇒ 324 - 21 = ?

⇒ ? = 303

Hence, the correct answer is "303".

The image embedded in given figure is as shown below :

Hence, the correct answer is "option 1".

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

• The line PQ is the mirror.
• The given word "BD9SKC" has third last letter "S", So, the mirror image should be "

" ⇒ Option 2 and Option 4 are eliminated.

• The given word "BD9SKC" has fourth last letter "9", So, the mirror image should be "

" ⇒ Option 1 is eliminated.

Hence, the correct answer is "Option 3".

The logic followed here is :-

• Second, third, fourth line with symbol is rotated 180⁰ and moves one step upwards from figure to figure.
• Slant line with new symbol on left of the slant line is added on fourth position in figure 2, 3, 4, 5, 6.

Hence, the correct answer is "Option 3".

The logic followed here is:-

In a row, Mansi is 29th from the left and 33rd from the right.

Total number of students in a row= (Mansi rank from the left  + Rank from the right) - 1

Number of students in row = (29 + 33) - 1

Number of students in row = 62 - 1

∴ Number of students in row = 61

Hence, the correct answer is "61".

The logic followed here is :-

Total student's in class A = 60

Student 'B' is at 41st rank in merit order from the bottom.

Rank of student B from top = Total number of students - Rank of student B from bottom + 1

Rank of student B from top = 60 - 41 + 1

Rank of student B from top = 61 - 41

Rank of student B from top = 20

∴ Here, Student B is 20^th rank from top.

Hence, the correct answer is "20th".

Given number of students in class = 72

Boys = B, Girls = G

The number of boys is twice the number of girls.

B = 2G

B + G = 72

2G + G = 72

3G = 72

G = 24

∴ B = 2G

B = 2 × 24

B = 48

∴ Here, number of boys in class are '48'.

Hence, the correct answer is "48".

The logic followed here is :-

'KNOW' is coded as '1614154'.

Similarly,

'HIRE' will be coded as :

Hence, the correct answer is "1991822".

Additional InformationShortcut to remember the reverse positional letters.

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

4. Pendant
5. Perturb
6. Pollution
7. Poverty
8. Pretension

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

Additional Information

1. First of all, check the common letter in all.
2. Arrange them according to the alphabet they come first. 
3. When common letters are arranged, then go for the rest.

The logic followed here is :-

'FAMILY' is written as 'QXBJSD'.

The corresponding letter is taken as a code for that letter:

• F code → Q
• A code → X
• M code → B
• I code → J
• L code → S
• Y code → D

Similarly,

'FILMY' will be written as :

Hence, the correct answer is "QJSBD".

The logic followed here is:-

Hence, the correct answer is "217".

Alternate MethodThe logic followed here is:

⇒ 2**³** + 1 = 9

⇒ 3³ + 1 = 28

⇒ 43 + 1 = 65

⇒ 53 + 1 = 126

⇒ 63 + 1 = ? = 217

⇒ 73 + 1 = 344

Hence, the correct answer is "217".

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

Hence, the correct answer is "Option 1".

The logic followed here is:-

ROM is written as α×@

 

HEIGHT is written as €÷β©∞*.

 

Similarly,

TIGER will be written as :

 

Hence, the correct answer is *"β©÷α".

The logic followed here is :-

Sum of digits of first number = Sum of digits of second number.

• 234 : 171

234 → 2 + 3 + 4 = 9

171 → 1 + 7 + 1 = 9

Similarly,

• 2535 : ?

2535 → 2 + 5 + 3 + 5 = 15

1) 4838 → 4 + 8 + 3 + 8 = 23

2) 2393 → 2 + 3 + 9 + 3 = 17

3) 6414 → 6 + 4 + 1 + 4 = 15

4) 3787 → 3 + 7 + 8 + 7 = 25

∴ Here, Sum of digits of '6414' is equal to sum of digits of '2535'.

Hence, the correct answer is "6414".

Given :- K _ T _ S T K M _ R S T _ M T R S _ K M _ R S T

By checking options and substituting accordingly.

1) M, T, R, K, T, R → K M T T S T - K M R R S T - K M T R S T - K M R R S T

2) K, M, R, T, T, T → K K T M S T - K M R R S T - T M T R S T - K M T R S T

3) K, T, R, M, T, R → K K T T S T - K M R R S T - M M T R S T - K M R R S T

4) M, R, T, K, T, T → K M T R S T - K M T R S T - K M T R S T - K M T R S T

• Here "KMTRST" is repeated.
• Option (4) gives the pattern of :- K M T R S T - K M T R S T - K M T R S T - K M T R S T

Hence, the correct answer is "M, R, T, K, T, T".

The logic followed here is :-

1. VAQ → The second letter of given word is vowel.

2. XED → The second letter of given word is vowel.

3. ZOV → The second letter of given word is vowel.

4. WRU →The third letter of given word is vowel.

∴ Here, "WRU" is different from other three alternatives.

Hence, the correct answer is "WRU".

The correct answer is They do not have any definite direction.

Key Points

• Ocean are streams of water, constantly flow on the ocean's surface.
• The warm ocean currents originate near the equator and move towards the poles.
• The cold currents carry water from polar or higher latitudes to tropical or lower latitudes.
• Hence They flow in a definite direction.
• The ocean current influences the temperature conditions of the area.
• Warm currents bring about warm temperatures over the land surface.
• The areas where the warm and cold currents meet provide the best fishing grounds in the world.
• Seas around Japan and the eastern coast of North America are such examples.
• The areas where a warm and cold current meet also experience foggy weather making it difficult for navigation.

Additional Information

• Ocean currents are streams of water flowing constantly on the ocean surface in definite directions.
• Ocean currents are the continuous, predictable, directional movement of seawater.
• It is a massive movement of ocean water that is caused and influenced by various forces.
• They are like river flows in oceans.
• Ocean currents are influenced by two types of forces namely:
• primary forces that initiate the movement of water
• secondary forces that influence the currents to flow.

The correct answer is Maharashtra.

Key Points

• Navegaon-Nagzira Tiger Reserve:
• It is situated in the Gondia and Bhandara districts of Maharashtra.
• Strategically, the Tiger Reserve is located in the heart of the central Indian Tiger landscape which contributes almost one-sixth of the total tiger population of the country.
• It was designated as the 46th Tiger Reserve of India in December 2013.
• It comprises the notified area of Navegaon National Park, Navegaon Wildlife Sanctuary, Nagzira Wildlife Sanctuary, New Nagzira Wildlife Sanctuary and Koka Wildlife Sanctuary.

Additional Information

• Famous Tiger Reserve in India

The correct answer is 1951-52.

Key Points

• The first general election was held in 1951-52 for over four months.
• It is from 25 October 1951 to 21 February 1952.
• The elections were based on universal adult franchise i.e twenty-one years of age or older having the right to vote.
• There were over 173 million voters, most of them poor, illiterate, and rural, and have had no experience of elections.
• The first general elections were marked by an active election campaign by Jawaharlal Nehru.
• The parties contested 489 seats.
• INC won the elections with 364 seats, as the people voted for the party which was led by Jawaharlal Nehru.

The correct answer is Revenue expenditure.

Key Points

• The different measures of government deficit are:
• Revenue deficit,
• Fiscal deficit and
• Primary deficit.
• Revenue expenditure is expenditure incurred for purposes other than the creation of physical or financial assets of the central government. It relates to those expenses incurred for the normal functioning of the government departments.
• The main items of revenue expenditure are interest payments, defense services, subsidies, salaries, and pensions.
• Hence Revenue expenditure is NOT a measure of government deficit.

Additional Information

The correct answer is Chandragupta.

Key Points

• Chandragupta I was the first Gupta ruler to assume the title of Maharajadhiraja.
• Chandragupta I was a son of the Gupta king Ghatotkacha, and a grandson of the dynasty's founder Gupta, both of whom are called Maharaja in the Allahabad Pillar inscription.
• He was also the father of Samudragupta, his next successor.
• Chandragupta I married the Lichchhavi princess Kumaradevi.
• Lichchhavi is the name of an ancient clan that was headquartered at Vaishali in present-day Bihar during the time of Gautama Buddha.

Additional Information 

• Some famous events during the rule of Gupta Kings:
• The famous Chinese pilgrim, Fahien visited India during the reign of Chandragupta II.
• Out of his nine years of stay in India, he spent six years in the Gupta empire.
• Chandragupta II waged war against the Saka satraps of western India.
• Rudrasimha III, the last ruler of the Saka satrap was defeated, dethroned, and killed. His territories in western Malwa and the Kathiawar Peninsula were annexed into the Gupta Empire.
• Kumaragupta laid the foundation of Nalanda University.

The correct answer is mass and velocity.

Key Points

• Momentum of a body is defined to be the product of its mass and velocity.
• It is the property of a moving body.
• SI unit is kg×m/s.
• Dimension: MLT−1
• p = mv; p = momentum, m = mass, and v = velocity
• So the momentum of a body depends upon both mass and velocity of the body.

Additional Information

• Linear momentum: The product of mass and velocity is known as linear momentum.
• Angular Momentum (L): It is a property of a body in rotational motion.
• The moment of linear momentum is known as angular momentum.

The correct answer is Mid leg.

Key Points

• Terms used in Cricket:
• Power-play,
• Square leg,
• Gully,
• Fine leg
• boundary,
• bowling,
• wicket,
• l.b.w,
• leg-bye,
• maiden over,
• no ball,
• off break,
• out,
• over,
• pitch,
• run out,
• sixer,
• straight drive,
• stumped,
• yorker.
• Hence Mid leg is NOT used in cricket.

Additional Information

• Some important terms related to sports are listed here-
• Football: Corner kick, direct free kick, indirect free kick, dribble, goal kick, penalty, hat triick, off side, tripping etc.
• Volleyboll: Blocking, Doubling, heave, holding, love service, volley
• Basket ball: Ball, basket, blocking, dribbling, free throw, held ball, holding, jump ball, multiple throws, pivot, etc.
• Hockey: Bully, carry, corner, dribble, hat trick, off-side, scoop, short corner, long corner, penalty stroke, etc.
• Tennis: Ace, Backhand, Stroke, deuce, deep volley, double fault, fault, ground stroke, half volley, let, lov, slice, smash, volley etc.
• Table tennis: Anti loop, Backspin, chop, loop, penhold grip, twiddle etc.

The correct answer is Breakdancing.

Key Points

• Breakdancing has recently (in December 2020) been registered as an official Olympic sport, to make its debut at the 2024 Paris Games
• Breaking, the official name for competitive breakdancing, will become an Olympic sport for the first time at the 2024 Paris Olympics.
• The athletic style of dance form emerged in the United States in the 1970s.

Additional Information

• Breakdancing is among 4 sports that have got the green light to be part of the Paris Olympic Games in 2024.
• Surfing, skateboarding and sport climbing were also approved for Paris 2024, but all three events will also be a part of the Tokyo Olympics in 2021.
• The move comes after the International Olympic Committee's new rule which allows host cities to pick and propose new games that are popular in the region.
• The Paris 2024 games will be fully gender equal with 50% female and male participation, as compared with 48.8% female participation in the Tokyo games.

The correct answer is algae.

Key Points

• Chlamydomonas is an example of Algae.
• Information about Algae:
• They are aquatic.
• Eukaryotic, unicellular, autotrophic organisms.
• Photosynthesis is carried out with the help of chloroplast present in the cell.
• Size- approximately 10 mm to 100 mm
• Examples: Chlorella, Chlamydomonas

Additional Information

• Bacteria are ubiquitous, mostly free-living organisms often consisting of one biological cell.
• They constitute a large domain of prokaryotic microorganisms.
• A fungus is any member of the group of eukaryotic organisms that includes microorganisms such as yeasts and molds, as well as the more familiar mushrooms.
• A virus is a submicroscopic infectious agent that replicates only inside the living cells of an organism.

The correct answer is Shams-ud-din Iltutmish.

Key Points

• Raziyya, the first female Muslim ruler, was the daughter of which Turkish ruler Shams-ud-din Iltutmish.
• She was the first and last Muslim woman to rule over Delhi.
• Also known as Razia al-Din.
• She was known as an efficient and just ruler.
• She was married to Malik Ikhtiar-ud-din Altunia, the governor of Bathinda.
• She was reportedly killed by her brother’s forces.
• Her brother Muizuddin Bahram Shah succeeded her.

Additional Information

• Qutb ud-Din Aibak 
• The first ruler of the Mamluk Dynasty.
• Mamluk Dynasty is also called the Slave Dynasty.
• Born to a Turkish family in Central Asia.
• Sold as a slave to Muhammad Ghori, the ruler of Ghor in Afghanistan.
• Aibak became Ghori’s trusted general and commander.
• He was given charge of Ghori’s Indian possessions after 1192.
• When Ghori was assassinated, Aibak declared himself Sultan of Delhi in 1206.
• Started construction of the Quwwat-ul-Islam mosque in Delhi. This is one of the first Islamic monuments in northern India.
• He began the construction of Qutb Minar in Delhi.
• He reigned till his death in 1210. He was said to have been trampled to death by a horse.
• He was succeeded by Aram Shah.
• Iltutmish 
• Aram Shah was a weak ruler. He was conspired against by a group of nobles who invited Shamsuddin Iltutmish to be the ruler.
• Iltutmish was a son-in-law of Aibak. He ruled the Ghurid regions of northern India.
• He was a Turkic slave born in Central Asia.
• Iltutmish was the greatest of the slave rulers of Delhi. He shifted his capital from Lahore to Delhi.
• He died in 1236 and was succeeded by his daughter Razia Sultana as he did not consider his sons equal to the task.
• Ghiyasuddin Balban
• Second Ilbari dynasty (1266-1290) founded by Balban.
• Ghiyasuddin Balban, who was also known as Ulugh Khan.
• He believed in the divine right theory of kingship (representative of God on earth).
• Balban was all-powerful in the administration but he had to face the intrigues of his rivals in the royal court.
• He destroyed the "group of forty" or the Turkish nobles.

The correct answer is 1913.

Key Points

• Ghadar Party was an Indian revolutionary organization, intending to liberate India from British rule.
• The party was formed in the United States in 1913, by migrant Indians, mostly Punjabis. However, the party also included Indians from all parts of India.
• However, it became popularly known as the Ghadar Party after it launched its journal Ghadar in November 1913, from its headquarters the Yugantar Ashram in San Francisco.
• The party took its name Gadar to consciously identify itself with the first war of Independence in 1857, which the British termed the “Gadar”(revolt).
• The Ghadar Movement was a secular democratic movement whose tradition was later upheld by Bhagat Singh with further addition of the socialist ideology.

Additional Information

• The founding president of the Ghadar Party was Sohan Singh Bhakna.
• The party was established as the Hindi Association of Pacific Coast under the leadership of Lala Har Dayal with Baba Sohan Singh Bhakna as its president.
• The party aimed to get rid of the colonial super-power using an armed struggle and to set up a national democratic government on the sub-continent.
• The party was multi-ethnic and had Hindu, Sikh, and Muslim leaders with its headquarters in San Francisco.

The correct answer is Guru Nanak.

Key Points

• The Janamsakhis are legendary biographies of Guru Nanak.
• Guru Nanak was the founder of Sikhism.
• Between 50 and 80 years after his death, The first Janamsakhis were composed.
• In the 17th and 18th centuries, Many more were written.
• The largest Guru Nanak Prakash was written in the early 19th century with about 9700 verses.
• Into the modern era, The 4 Janamsakhis that have survived include the Miharban, Bala, Adi, and Puratan versions.
• Suraj Prakash is the popular hagiographies of all ten Sikhs written by Santokh Singh.

Additional Information

• Kabir Das was a 15th-century Indian mystic poet and saint.
• His verses are found in Sikhism's scripture Guru Granth Sahib, the Satguru Granth Sahib of Saint Garib Das, and Kabir Sagar.
• Narsinh Mehta, was a 15th-century poet-saint of Gujarat, India, honored as the first poet, or Adi Kavi, of the Gujarati language.
• Guru Arjan was the first of the two Gurus martyred in the Sikh faith and the fifth of the ten total Sikh Gurus.
• He compiled the first official edition of the Sikh scripture called the Adi Granth.

The correct answer is Sardar Vallabhbhai Patel.

Key Points

• Sardar Vallabhbhai Patel, popularly known as the Iron Man of India.
• He was the first Deputy Prime Minister and Home Minister of India.
• He was instrumental in India's independence struggle, and then for the integration of over 500 princely states into the Union of India.
• On the birth anniversary of Sardar Patel, on October 31, 2018, PM Modi unveiled the 'Statue of Unity' in Gujarat's Narmada district.

Additional Information

• Gulzarilal Nanda served as the secretary of the Indian Labor Welfare Organization and as the chairman of the Bombay Housing Board.
• He was also a member of the National Planning Committee.
• He was largely instrumental in organizing the Indian National Trade Union Congress and later became its President.
• He was the former Prime Minister of India for two short periods after the death of Jawaharlal Nehru in 1964 and Lal Bahadur Shastri in 1966.
• The Government of India honored Nanda with the Bharat Ratna Award in 1997.
• Govind Ballabh Pant was an Indian freedom fighter and the first chief minister of Uttar Pradesh.
• Lal Bahadur Shastri served as 2ND PM of India from June 09, 1964, to January 11, 1966.
• He was born on October 2, 1904, at Mughalsarai, UP.
• Nanhe (in Hindi: Little One) was his childhood nickname.
• Lal Bahadur Shastri joined the Non-Cooperation Movement at the age of 16 years on the call of Gandhi Ji.
• Shastri earned the nickname of “The Man of Peace” for he was always preferred the path of peace instead of aggression.
• He gave the slogan - Jai Jawan, Jai Kisan, during the 1965 War.
• He died on 11 January 1966, after signing the Tashkent agreement to end the Indo-Pak War of 1965.

The Correct Answer is Prakash Javadekar.

Key Points 

• Minister of Environment, Forest, and Climate Change Prakash Javadekar today launched the India Climate Change Knowledge Portal. The portal will have all the major steps the Government is taking at both national and international levels to address the climate change issues.
• About the portal:
• The portal will have all the major steps the Government is taking at both national and international levels to address the climate change issues.
• Portal will be a single-point information resource that provides information on the different climate initiatives taken by various Line Ministries enabling users to access d status on these initiatives.
• This will be enabling users to access updated status on climate initiatives. Minister informed at the virtual event that India has practically achieved its Pre-2020 Climate Action targets.
• Though historically India is not responsible for emissions.
• India, under the dynamic leadership of Prime Minister Shri Narendra Modi, is leading the world on Climate Action.
• The portal captures sector-wise adaptation and mitigation actions by Ministries in one place including updated information on their implementation.

Additional Information

• About UNFCCC (United Nations Framework Convention on Climate Change)
• The international environmental treaty that came into existence under the aegis of the UN.
• UNFCCC is negotiated at the Earth Summit 1992.
• It is signed in 1992, New York City.
• As of March 2019, UNFCCC has 197 parties.
• Role: UNFCCC provides a framework for negotiating specific international treaties (called “protocols”) that aim to set binding limits on greenhouse gases.
• The objective of UNFCCC: Stabilize greenhouse gas concentrations in the atmosphere at a level that would prevent dangerous consequences.
• Legal Effect: Treaty is considered legally non-binding.
• The treaty itself sets no binding limits on greenhouse gas emissions for individual countries.
• Head Quarter-Bonn (Germany).

The correct answer is Mumbai Indians.

Key Points

• Mumbai Indians won the trophy of Indian Premier League 2020.
• Mumbai Indians has won the Indian Premier League (IPL) trophy five times as of November 2020.
• Mumbai Indians are a franchise cricket team based in Mumbai, Maharashtra that competes in the Indian Premiere League.
• IPL 2020 was the thirteenth season of the IPL.
• The tournament was originally scheduled to commence on 29 March 2020 but was suspended due to the COVID-19 pandemic.
• Defending champions Mumbai Indians successfully retained their title with a five-wicket win over Delhi Capitals in the final match.
• Most runs in the series- KL Rahul
• Most wickets in the series-Kagiso Rabada
• Most Valuable Player- Jofra Archer
• PAYTM Fairplay Award- Mumbai Indians
• Emerging Player of the Season- Devdutt Padikkal

Additional Information 

• Indian Premiere League was founded by BCCI in 2007.
• The Board of Control for Cricket in India is the governing body for cricket in India and is under the jurisdiction of the Ministry of Youth Affairs and Sports, Government of India.
• It is an autonomous organization and does not come under the National Sports Federation of India.
• Founded in December 1928.

The correct answer is story tellers.

Key Points

• The 'kathaks' (of a dance form called Kathak), were originally a caste of story tellers in temples of North India.
• ​The term kathak is derived from katha, a word used in Sanskrit and other languages for story.
• The kathaks were originally a caste of story-tellers in temples of north India, who embellished their performances with gestures and songs.
• Kathak began evolving into a distinct mode of dance in the fifteenth and sixteenth centuries with the spread of the bhakti movement.

Additional Information

• 8 Classical Dances of India and States:

The correct answer is Lausanne.

Key Points

• The International Olympic Committee (IOC)’s new headquarters in Lausanne has been awarded the European 2020 US Green Building Council (USGBC) Leadership Award.
• Olympic House, which also holds the rigorous LEED Platinum certification, is one of the most sustainable buildings in the world.
• The USGBC recognises "those advancing the development of sustainable, healthy and resilient buildings, cities and communities in regions around the world".
• Inaugurated on 23 June 2019, Olympic House embodies the IOC’s strong commitment to sustainability.
• The Olympic House is the first international headquarters - and the second building overall - to obtain the highest (Platinum) level of the Swiss Sustainable Construction Standard (SNBS).

Additional Information

• Founded on 23 June 1894, the International Olympic Committee is a non-profit independent international organization.
• Based in Lausanne, Switzerland, Olympic Capital is entirely privately funded and distributes 90 percent of its revenues to the wider sporting movement for the development of sports and athletes at all levels.
• The International Olympic Committee is the patron of the Olympic Games and the leader of the Olympic Movement.

The correct answer is 1955.

Key Points

• The Citizenship Act of 1955 deals with matters relating to acquisition, determination and termination of Indian citizenship after the commencement of the Constitution.
• As per the Citizenship Act 1955, in the following cases a person will lose his citizenship:-
• Citizen of India having full age and capacity making a declaration about renouncing of his citizenship. If such declaration is made during a war in which India is engaged then its registration shall be withheld by the Central Government. Every minor child of such a person will also lose their Indian Citizenship. However, such a child may continue his Indian Citizenship upon attaining the age of 18 years.
• Citizens of India voluntarily acquiring citizenship in another country. In such a case the Indian Citizenship gets automatically revoked.
• The citizen who has obtained citizenship by fraud.
• The citizen who has shown disloyalty to the Constitution of India.
• The citizen who has unlawfully traded or communicated with the enemy during a war.
• The citizen who has within 5 years after registration by naturalization been imprisoned in any country for two years.
• The citizen who has been ordinarily residing out of India for 7 years continuously.

Additional Information

• Citizenship Amendment Act, 2019 
• The Bill amends the Citizenship Act, 1955, and grants citizenship to the Hindus, Sikhs, Buddhists, Jains, Parsis, and Christians communities from Afghanistan, Bangladesh, and Pakistan, who entered India on or before December 31, 2014.
• To obtain citizenship by naturalization, one of the qualifications is that the person must have resided in India or have been in the service of the central government for at least 11 years before applying for citizenship.
• But the act reduced the period to five years for Hindus, Sikhs, Buddhists, Jains, Parsis, and Christians communities.

The correct answer is Assam.

Key Points

• Assam governments in its budget for 2020-21 announced the 'Orunodoi Scheme'.
• ‘Orunodoi’ or Arunodoi Scheme is a new scheme of the Government of Assam.
• It was launched on 2nd October 2020.
• Under this, monetary benefits have been envisaged for more than 24 lac poor households in the state.
• This scheme will provide Financial Assistance of Rs 1000 per month through Direct Benefit Transfer to around 19.10 Lakh Families in the state.

Additional Information

• Assam:
• Chief Minister - Hemant Biswa Sarma
• Governor - Jagdish Mukhi
• Number of districts - 33
• Lok Sabha seats - 14.
• Rajya Sabha Seats - 7.

The correct answer is 2.00%.

Key Points

• As of March 2021, 2.00% is the rate of premium on the sum assured in case of Kharif crops under 'Pradhan Mantri Fasal Bima Yojana'.
• The Centre is implementing Pradhan Mantri Fasal Bima Yojana (PMFBY).
• The scheme was launched in the year of 2016.
• The scheme provides comprehensive insurance coverage against crop loss on account of non-preventable natural risks, thus helping stabilise farmers income.
• Under it, there is a uniform premium of only 2% to be paid by farmers for all Kharif crops and 1.5% for all Rabi crops.

Additional Information

The correct answer is economic output.

Key Points

• Real GDP is a measure of a country's total economic output.
• Real GDP measures the value of the goods and services produced by an economy in a specific period, adjusted for inflation.
• Since GDP is based on the monetary value of goods and services, it is subject to inflation.
• Rising prices will tend to increase a country's GDP, but this does not necessarily reflect any increment in the quantity or quality of goods and services produced.
• Thus, by looking just at an economy’s nominal GDP (which is based on current price), it would be difficult to tell whether the figure has risen as a result of a real expansion in production, or simply because prices rose.

Additional Information

• Difference between Nominal GDP and Real GDP:
• Gross Domestic Product or GDP refers to the economic value of goods and services produced within the nation’s boundaries, in a particular financial year plus income earned by foreign residents locally less income earned abroad by country’s residents.
• When the GDP is estimated at current prices, it exhibits Nominal GDP, whereas Real GDP is when the estimation is made at constant prices.
• Nominal GDP is GDP without the effect of inflation whereas Real GDP is inflation adjusted GDP.
• Nominal GDP cannot be analyzed easily whereas Real GDP is a good indicator of economic growth.

The correct answer is Chandragupta I.

Key Points

• Chandragupta I was the first Gupta ruler to assume the title of Maharajadhiraja.
• Chandragupta I was a son of the Gupta king Ghatotkacha, and a grandson of the dynasty's founder Gupta, both of whom are called Maharaja in the Allahabad Pillar inscription.
• He was also the father of Samudragupta, his next successor.
• Chandragupta I married the Lichchhavi princess Kumaradevi.
• Lichchhavi is the name of an ancient clan that was headquartered at Vaishali in present-day Bihar during the time of Gautama Buddha.

Additional Information​

• Gupta Dynasty:
• The founder of the Gupta dynasty was Sri Gupta.
• He was succeeded by Ghatotkacha. These two were called Maharajas.
• Chandragupta, I was succeeded by Samudragupta in about 330 A.D., who reigned for about fifty years.
• He was a great military genius and is said to have commanded a military campaign across the Deccan, and also subdued the forest tribes of the Vindhya region.
• Samudragupta's successor Chandragupta II, also known as Vikramaditya, conquered the extensive territories of Malwa, Gujarat and Kathiawar.

The correct answer is Ajit Kumar.

Key Points

• Central Board of Indirect Taxes and Customs, CBIC Chairman M. Ajit Kumar, along with members of the Board inaugurated the GST Bhawan, Panchkula on 19 November 2020.
• The state of the art building will house the offices of Central GST at Panchkula.
• It has been built at a cost of about 31 crores rupees.
• This is the first major infrastructure project of CBIC completed in these times of COVID.

Additional Information

• Rajiv Kumar is a 1984-batch Indian Administrative Service officer.
• On 15 May 2022, he assumed the charge as the 25th Chief Election Commissioner of India, succeeding Sushil Chandra.
• Amit Anil Chandra Shah is an Indian politician currently serving as the Minister of Home Affairs and the first Minister of Co-operation of India.
• He served as the President of the Bharatiya Janata Party from 2014 to 2020.
• Narendra Damodardas Modi is an Indian politician serving as the 14th and current prime minister of India since 2014.
• Modi was the chief minister of Gujarat from 2001 to 2014 and is the Member of Parliament from Varanasi.

The correct answer is Bronze.

Key Points

• Bronze contain Copper 90%, Tin 10%.
• It is an alloy of Copper and Tin.
• Uses of Bronze - In the making of coins, ornaments, utensils, and statues.
• An alloy is a substance made by melting two or more elements together, at least one of them is metal.

Additional InformationList of Important Alloys and their Uses:

The correct answer is Thermocline.

Key Points

• The boundary region from where there is a rapid decrease of temperature in the ocean called Thermocline.
• The thermocline is the oceanic water layer in which water temperature decreases rapidly with increasing depth.
• A widespread permanent thermocline exists beneath the relatively warm, well-mixed surface layer, from depths of about 200 m (660 feet) to about 1,000 m (3,000 feet), in which interval temperatures diminish steadily.
• Water density is governed by temperature and salinity; consequently, the thermocline coincides generally with the pycnocline or layer in which density increases rapidly with depth.
• The middle layer of water in a lake or reservoir during the summer is also called a thermocline.

Additional Information

• A continental margin is the outer edge of continental crust abutting oceanic crust under coastal waters.
• A mid-ocean ridge is a seafloor mountain system formed by plate tectonics. It typically has a depth of about 2,600 meters and rises about 2,000 meters above the deepest portion of an ocean basin.
• A hydroplane is a fast motorboat, where the hull shape is such that at speed, the weight of the boat is supported by planing forces, rather than simple buoyancy.

Given:

The best marksman scored 82 points.

If he had scored 90 points, average score for the team would have been 84.

Concept used:

Total number = Average × Number of students

If we have N observations out of which one observation A is  replaced by another new observation and  the average decreases by B, then

New observation = A - NB.

Calculation:

According to the question,

If he had scored 90 points, the total score for the team of 8 would have been 84.

He scored 82 points then,

The average score of the team = 84 - 8 / 8

⇒ 84 - 1 = 83 points

So, the total score of the team will be 83 × 8 = 664 points.

∴ The total score of the team will be 664 points.

Given:

Madhu sold a watch at a profit of 12%

Had she sold it for Rs 28.80 more, she would have gained 18.4%.

Concept used:

Profit percentage = $\frac{Profit}{Cost\space price}$ × 100

Calculation:

Let the cost price = 100 units

Profit in 1st case = (12 / 100) × 100

⇒ 12 units

Profit in 2nd case = (18.4 / 100) × 100

⇒ 18.4 units

According to the question,

(18.4 - 12) units = Rs 28.80

⇒ 6.4 units = 28.80

⇒ 100 units = (28.80 × 100) / 6.4

⇒ Rs 450

∴ The cost price of the watch is Rs 450.

Shortcut TrickThe difference in profit percentage is (18.4 - 12) = 6.4%.

According to the question,

Value of 6.4% = Rs 28.80

So, 100% = (28.80 × 100) / 6.4

⇒ Rs 450

∴ The cost price  of the watch is Rs 450.

Given:

Certain number of apples, in which 15% are rotten.

He sells 90% of the remaining good apples and still has 34 good apples.

Calculation:

Let the total number of apples be 200 units

So, the number of rotten apples = 200 × 15 /100

⇒ 30

Remaining apples =  200 - 30 = 170

He sells 90%, so remaining 100 - 90 = 10%

Now, remaining apples will be 170 × 10 /100 = 17 units

According to the question,

Value of 17 units = 34

So, value of  200 units = (34 /17) × 200

⇒ 2 × 200 = 400

∴ He had initially 400 apples.

Shortcut TrickLet the total no. of apples be X.

15% apples are rotten, So remaining = 85%.

He sell 90% of the remaining, means 10% of the remaining apples are left which is equal to 34 apples.

⇒ X × 85/100 × 10/100 = 34

⇒ X = 400.

Given:

x is added to each of 6, 12, 18, and 28, then the numbers so obtained in this order are in a proportion.

Calculation:

According to the question,

(6 + x) / (12 + x) = (18 + x) / (28 + x)

⇒ (6 + x) × (28 + x) = (18 + x) × (12 + x)

⇒ x² + 34x + 168 = x² + 30x  + 216

⇒ 34x - 30x = 216 - 168

⇒ 4x = 48

⇒ x = 12

The value of (5x + 6) : (x - 1) is equal to

(5 × 12 + 6) : (12 - 1)  

⇒ 66 : 11

⇒ 6 : 1

∴ The value of (5x + 6) : (x - 1) is equal to 6 : 1

Given:

Vishnu left place A at 10 a.m. for place B.

Sudeep left place B at 2 p.m. for place A.

The distance between the two places is 556 km.

Vishnu's speed is 42 km/h and Sudeep's speed is 55 km/h.

Formula used:

Distance = speed × time

Concept used:

If one object is moving with x km\h and another object is moving with y km/h in opposite direction,

Then their relative speed will be = (x + y) km / h

Calculation:

According to the question,

Vishnu went for (2 p.m -  10 a.m) = 4 hr

In this 4 hr, Vishnu traveled = 42 × 4 

⇒ 168 km

Remaining distance = 556 - 168 

⇒ 388 km

The relative speed of Vishnu and Sudeep = 42 + 55

⇒ 97 km/h

Now relative distance = 388 km

Time taken = (388 /97)

⇒ 4hr

So, they will meet after 4hr from 2 p.m

∴ They will meet at 6 p.m

Additional Information 

If one object is moving with x km\h and another object is moving with y km/h in same direction,

Then their relative speed will be = (x - y) km / h [ here, x>Y]

Given:

The cost of 6 flats was Rs 60 lakh each.

A builder sold one-third of the flats at a 15% profit and one-sixth of the flats at a 6% loss.

Formula Used:

Loss percentage = loss/CP × 100

Profit percentage = Profit /CP × 100

Profit = SP - CP and Loss = CP - SP where,

SP = Selling price and CP = Cost price.

Concept used:

Profit and Loss always calculated on cost price.

Calculation:

The total numbers of flats are 6

Remaining flats = 6 - (2 + 1)

⇒ 3

The total cost price of 6 flats = Rs 60 lakh × 6

⇒ 360 lakhs

He sold 1/3 of 6 = 2 flats at 15 % profit

So the selling price of those 2 flats will be

2× 60 × (115 / 100) 

⇒ 138 lakhs

He sold 1 flat at 6% loss

So, the selling price of this flat will be 60 × (94 / 100) = 56.40 lakh

Total selling price of 6 flats = 360 × (90 / 100)

⇒ 324 lakh

The selling price of the remaining 3 flats = 324 - (138 + 56.40)

⇒ 129.6

Cost price of these 3 flats = Rs 60 lakh × 3 = 180 lakh

Total loss = 50.4 lakh

Loss percentage = (50.4 / 180) × 100

⇒ 28%

∴ His loss percentage in the remaining flats was 28%.

Given:

$18 \div [92 \div 2 ; of ; 8 + 3 \frac{1}{4}]$

Formula used:

VBODMAS rule (Bracket, Of, Division, Multiplication, Addition, Subtraction)

Calculations:

$18 \div [92 \div (2 \times 8) + \frac{13}{4}]$

⇒ $18 \div [\frac{92}{16} + \frac{13}{4}]$

⇒ $18 \div [\frac{23}{4} + \frac{13}{4}]$

⇒ $18 \div [\frac{36}{4}]$

⇒ $18 \div 9$

⇒ 2

∴ The correct answer is option (1).

Given:

A sum of Rs 4,500 amount to Rs 5,310 after 3 years.

Concept used:

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

Amount = Principal + Interest

Calculation:

Let the rate of interest = R

In 3 years, Simple interest = 5310 - 4500

⇒ Rs 810

According to the question,

810 = (4500 × R × 3) / 100

⇒ R = 810 / 135

​⇒ R = 6%

∴ The rate of interest will be 6%.

Given:

A rectangular courtyard 1017 feet long and 1002 feet wide.

Concept used:

To measure the largest tiles we have to use the HCF of the length and breadth of the rectangular courtyard.

Calculation:

According to the question,

⇒ 1017 = 3 × 339

⇒ 1002 = 3 × 334

So, HCF of 1002 and 1017 is 3 feet.

∴ The side of such largest tiles which could be used for the purpose is 3 feet.

Concept used:

BODMAS Rule

Calculation:

 9 of ${(4 ÷ 2) × [2 - (4 ; of ; 6 ÷ 2)] + (6 × 1 ÷ 3)} - 5.$

⇒ 9 of {(2) × [2 - (4 × 6 / 2)] +(6/3)} - 5 

⇒ 9 ×  {(2) × [2 - (24 / 2)] +2} - 5 

⇒ 9 × {(2) × [2 - 12] +2} - 5 

⇒ 9 × {(2) × -10 +2} - 5 

⇒ 9 × {-20 +2} - 5 

⇒ 9 × (-18) - 5 

⇒ -162  - 5 

⇒ -167  

∴ The value is -167

Given:

Dimensions of a box are 16 cm × 12 cm × 10 cm.

Formula used:

If the length, breadth, and height of a box are l, b, and h respectively

Then, the length of the longest rod that can be fitted in the box = √(l2 + b2 + h²)

Calculation:

Here l = 16 cm , b = 12 cm and h = 10 cm

As per the formula,

The length (in cm) of the longest rod 

√(16² + 12² + 10²)  

⇒ √(256 + 144 + 100)

⇒ √(500) = 10√5 cm

∴ The length (in cm) of the longest rod will be 10√5 cm.

Given:

MP of an article at 23% more than the cost price.

He sold two-thirds of the articles at the marked price and rest at a discount of 25%.

Formula used:

SP = ( $\frac{100\space +\space profit\space Percentage}{100}$) × CP 

SP = MP × (100 - discount)/100 

Profit % = (SP - CP)/CP × 100

SP = CP + Profit

MP - discount = SP where, 

MP = Marked price, SP = Selling price 

Calculation:

Let the CP of each article is Rs 100 and the total number of product = 30

CP of 30 articles = 30 × 100 = Rs 3000.

MP of each product 

⇒ 100 + (100 × 23 /100)

⇒ 100 + 23 = Rs. 123

So, he sold 30 × 2 / 3 = 20 products at MP

SP of the 20 products = 20 × 123

⇒ Rs 2460

SP of the remaining 30 - 20 = 10 articles and MP = 10 × 123 = 1230

SP = 1230 × 75/100 = Rs. 922.50

Total SP of 30 articles = 2460 + 922.50

⇒ Rs 3382.5

Total profit earned = 3382.50 - 3000

⇒ Rs 382.50

Profit % = (382.50 / 3000) × 100

⇒ 12.75 %

∴ Total gain percentage is 12.75 %

Shortcut Trick

For two consecutive even numbers, let the average (middle odd number) be x.

The numbers are (x − 1) and (x + 1).

Average of squares = [(x − 1)² + (x + 1)²] ÷ 2 = x² + 1.

x² + 1 = 170 ⇒ x² = 169 ⇒ x = 13.

∴ The correct answer is 13.

Alternate Method

Given: Average of the squares of two consecutive even natural numbers is 170.

Let the two consecutive even numbers be x and x + 2.

Formula: Average = (Sum of values) ÷ (Number of values)

⇒ [x² + (x + 2)²] ÷ 2 = 170

⇒ x² + (x² + 4x + 4) = 340

⇒ 2x² + 4x + 4 = 340

⇒ 2x² + 4x − 336 = 0

⇒ x² + 2x − 168 = 0

⇒ x² + 14x − 12x − 168 = 0

⇒ x(x + 14) − 12(x + 14) = 0

⇒ (x − 12)(x + 14) = 0

⇒ x = 12 or x = −14 (Since it is a natural number, x = 12)

⇒ The numbers are 12 and 14.

⇒ Average = (12 + 14) ÷ 2 = 13.

∴ The correct answer is 13.

Additional Information

Consecutive Even Numbers

Even numbers are in the form 2n. Consecutive ones always have a common difference of 2. Their average is always the odd number lying exactly between them.

Algebraic Identity for Average of Squares

For any two numbers (a−b) and (a+b), the average of their squares is a² + b². Here, b = 1 for consecutive even/odd numbers.

Sum of First n Even Numbers

The sum of the first n even natural numbers is given by the formula n(n + 1).

Shortcut Trick

Initial ratio Ravi : Sumit = 2 : 3 (Difference = 1 unit)

New ratio after increase = 5 : 7 (Difference = 2 units)

Equate differences: Multiply initial ratio by 2 ⇒ 4 : 6

Ratio change: 4 → 5 and 6 → 7. Increase of 1 unit = ₹5,000

Sumit's increased salary = 7 units = 7 × ₹5,000 = ₹35,000

∴ The correct answer is ₹35,000.

Alternate Method

Given: Ratio of salaries = 2 : 3, Increase = ₹5,000, New ratio = 5 : 7.

Let the salaries of Ravi and Sumit be 2x and 3x respectively.

⇒ (2x + 5000) ÷ (3x + 5000) = 5 ÷ 7

⇒ 7 × (2x + 5000) = 5 × (3x + 5000)

⇒ 14x + 35000 = 15x + 25000

⇒ 15x − 14x = 35000 − 25000

⇒ x = 10000

⇒ Sumit's original salary = 3x = 3 × 10000 = ₹30,000

⇒ Sumit's increased salary = 30000 + 5000 = ₹35,000

∴ The correct answer is ₹35,000.

Additional Information

Ratio Balancing Method

When the same value is added to both terms of a ratio, the difference between the terms of the ratio must remain constant or be scaled proportionally.

Cross Multiplication Method

For ratios a:b and c:d with change k: (a×d − b×c) units = k × (c − d). This is a direct way to find the value of 1 unit.

Given:

A train travels at an average speed of 40 km per hour for $3\frac{1}{2}$h

Then travels at a speed of 60 km per hour for $2\frac{1}{2}$h

Concept used:

Distance = speed × time

Calculation:

Total distance traveled by train in 1st $3\frac{1}{2}$ hr = 7/2 hr 

⇒ 40 × (7/2) = 140 km

Total distance traveled by train in next 2 $\frac{1}{2}$hr = 5 / 2 hr

⇒ 60 × (5/2) = 150 km

Total distance covered = 140+ 150

⇒ 290 km

∴ The train travel in the entire 6h is 290 km.

Given:

A and B together can complete $\frac{1}{5}$ of a work in $4\frac{4}{5}$ days.

 A alone completes $\frac{3}{4}$ of the work in 30 days.

Concept used:

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

Number of days = Total work / Efficiency

Calculation:

A and B together can complete $\frac{1}{5}$ of work in $4\frac{4}{5}$  = 24 / 5 days

So, they do the total work  in  (24 / 5 ) × 5 = 24 days

 A + B together 1 day's work = 1 / 24

Again,

A  alone completes $\frac{3}{4}$ of the work in 30 days.

So, A does the total work  in  30 × (4 / 3 )  = 40 days

A's 1 day's work will be = 1 / 40

B's 1 day's work will be = (1 /24) - (1 / 40)

⇒ $\frac{5\space-\space 3}{120}$

⇒ 2 /120

⇒ 1 / 60

∴ B can do the whole work in 60 days.

Alternate Method Calculation:

A and B together can complete $\frac{1}{5}$ of work in $4\frac{4}{5}$  = 24 / 5 days

So, they do the total work  in  (24 / 5 ) × 5 = 24 days

Again,

A  alone completes $\frac{3}{4}$ of the work in 30 days.

So, A does the total work  in  30 × (4 / 3 )  = 40 days

Let total work be 120 units ( LCM of 24 and 40)

So, the efficiency of A + B = 120 / 24

⇒ 5  units

Efficiency of A = 120 / 40

⇒ 3  units

Efficiency of B = 5 - 3

⇒ 2 units

Total work = 120 units 

Time taken to complete total work by B 

⇒ 120/2 = 60 days

∴ B can do the whole work in 60 days.

Given:

Two numbers are 108 and 198.

Calculation:

According to the question,

Factors of 108 = 2 × 2 × 3 × 3 × 3

Factors of 198 = 2 × 3 × 3 × 11

So, HCF of 108 and 198 = 2 × 3 × 3  = 18

∴ The HCF of 108 and 198 is 18.

Given:

22 men can complete a piece of work in $7\frac{1}{2}$ days

Concept used:

Total work = Total number of men × Total number of days required

Calculation:

Let, total work = 22 × 15 / 2

⇒ 11 × 15 = 165 units

So, the number of men will be required to complete the same work in $5\frac{1}{2}$ 

⇒ 11 / 2 days 

⇒ $\frac{165}{11/2}$

⇒ (165 × 2 )/ 11

⇒ 15 × 2 = 30 men

∴ 30 men will be required to complete the same work in $5\frac{1}{2}$ days.

Shortcut TrickFormula used:

Work = Men × Days.

Calculation:

22 men × $7\frac{1}{2}$ days = men × $5\frac{1}{2}$ days

⇒ 22 × 15/2 = men × 11/2

⇒ 15 × 2 = 30 men.

Given:

A is 15% of B, while B is 12% of C.

If C = 1200

Calculation:

According to the question,

B is 12% of C, C = 1200

B = 1200 × 12 /100

⇒ 144

A is 15% of B

A = 144 × 15 /100

⇒ 21.60 

Then,

A + B = 144 + 21.60

⇒ 165.60

∴ The value of  A + B is 165.60

Shortcut Trick

Ratio of CSA to Volume = (2πrh) / (πr²h) = 2/r = 4/5

⇒ r = (2 × 5) / 4 = 2.5 cm

Total Surface Area (TSA) = 2πr(h + r) = 187

⇒ 2 × (22/7) × 2.5 × (h + 2.5) = 187

⇒ h + 2.5 = (187 × 7) / (44 × 2.5) = 11.9

⇒ h = 11.9 − 2.5 = 9.4 cm

∴ The correct answer is 9.4 cm.

Alternate Method

Given: CSA : Volume = 4 : 5, TSA = 187 cm², π = 22/7

Formula Used: CSA = 2πrh, Volume = πr²h, TSA = 2πr(h + r)

⇒ Ratio = (2πrh) / (πr²h) = 2/r

⇒ 2/r = 4/5 ⇒ 4r = 10 ⇒ r = 2.5 cm

⇒ 2 × (22/7) × 2.5 × (h + 2.5) = 187

⇒ (110/7) × (h + 2.5) = 187

⇒ h + 2.5 = (187 × 7) / 110

⇒ h + 2.5 = 1309 / 110 = 11.9

⇒ h = 11.9 − 2.5

⇒ h = 9.4 cm

∴ The correct answer is 9.4 cm.

Additional Information

Cylinder Formulas

Curved Surface Area (CSA) = 2πrh and Volume = πr²h. The ratio CSA/Volume always simplifies to 2/r.

Total Surface Area of Cylinder

TSA includes the curved area plus two circular bases: TSA = 2πrh + 2πr² = 2πr(h + r).

Hollow Cylinder

Volume of hollow cylinder = π(R² − r²)h, where R is outer radius and r is inner radius.

Given:

Principal =  Rs 8,100

Rate of 20% per annum for 6 months compounded quarterly.

Formula used:

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

Amount = Principal + Compound Interest

Calculation:

According to the question,

Interest is compounded quarterly, so the rate of interest (r) should be (20 / 4) % = 5%

For 6 months time (n) = 2

Amount = 8100(1+ 5 / 100)²

⇒ 8100 × (21 /20) × (21 / 20)

⇒ (81 × 441) / 4

⇒ Rs 8930.25

Interest is (8930.25 - 8100) = Rs 830.25

∴ The compound interest is Rs 830.25

Given:

Sum of Rs 7,000 is invested for 1.5 years at 20% p.a.

Interest is compounded half-yearly.

Formula used:

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

Amount = Principal + Compound Interest

Concept used:

Interest is compounded half-yearly, so the rate of interest should be halved

 and for 1.5 yrs n = 3

Calculation:

According to the question,

The rate of interest (R) = 20 / 2 

⇒ 10%

Amount = 7000(1 + 10/100)³

⇒ 7000 × (11 / 10) × (11 / 10) × (11 / 10)

⇒ 7 × 1331

⇒ 9317

Compound interest = Amount - Principal

⇒ 9317 - 7000 = 2317

∴ Compound interest is Rs 2317.

Given:

The profit obtained by selling an article for Rs 1,850 is twice the profit obtained by selling the article for Rs 1,600

Formula used:

Selling price - cost price = profit

Calculation:

Let the cost price be x

According to the question,

1850 - x = 2 (1600 - x)

⇒ 1850 - x = 3200 - 2x

⇒ 2x - x = 3200 - 1850

⇒ x = 1350

∴ Cost price of the article is Rs. 1350

Shortcut TrickWe can solve this question by the option elimination method.

If we take Rs 1350 as cp,

The profit in 1st case will be 1850 - 1350 = Rs 500

The profit in 2nd case will be 1600 - 1350 = Rs 250

The profit in the 1st case is double from the 2nd case.

So, the condition is satisfied.

∴ The cost price of the article is Rs 1350.

Given:

3p = 4q and  3q = 5r

Calculation:

Let, 3p = 4q = k

So, 3p = k 

⇒ p = k / 3

Again, 4q = k

⇒ q = k / 4

In 2nd case, 

 3q = 5r

⇒ 3 × k /4 = 5r (putting the value of q)

⇒ r = 3k / 20

So, the ratio p : r = k / 3 : 3k / 20

⇒ 1 / 9 : 1 / 20

⇒ 20 : 9

∴ The ratio p : r is 20 : 9

Given:

Marked price of the article 44% higher than its cost price.

Discount = 27.5%

Formula used:

SP = ( $\frac{100\space +\space profit\space Percentage}{100}$) × CP 

Profit = SP - CP

MP - discount = SP where, 

MP = Marked price, CP = Cost price and SP = Selling price.

Calculation:

Let the CP of the article be Rs 100

Now, MP is

100 + 100 × 44 / 100

⇒ 100 + 44

⇒ Rs 144

Discount % = 27.5 %

So, the total discount amount = 144 × 27.5 /100

⇒ Rs 39.60

SP = 144 - 39.60 = Rs 104.4

Profit = 104.4 - 100 

⇒ Rs 4.4  

Profit % = (4.4 /100) × 100

⇒ 4.4 %

∴The profit percentage is 4.4 %.

The correct answer is 'Villain'.

Key Points

• Villain is ​the main bad character in a story, play.
• Example: In most of his films he has played villains, but in this one, he’s a good guy.
• From the given meaning and example,' villain' is a one-word substitute for the given group of words.
• Thus, the correct answer is option 1.

Additional Information

• Altruist  is a person unselfishly concerned for or devoted to the welfare of others
• Sadist : A sadist is someone who enjoys inflicting pain on others, sometimes in a sexual sense.

The correct answer is 'have you kept'.

Key Points

• The given sentence is of interrogative nature.
• The standard structure : Have + Subject+ V3+ object.
• Therefore as per the above structure , 'have you kept' is the correct construction.
• We will replace 'you have kept' with ' have you kept' in the following structure.
• Therefore, the correct answer is option 4.

The correct answer is 'to be depressed'.

Key Points

• The given idiom 'Down in the mouth" means dejected, feeling sad or depressed.
• Example : Puneet is looking down in the mouth after facing rejection from the interview.
• From the given meaning and the given example, we are clear that 'to be depressed' is the most appropriate meaning of the given idiom.
• Thus, the correct answer is option 1.

The correct answer is 'beside of'.

Key Points

• The given sentence is grammatically incorrect.
• The error lies in the  'beside of' part of the segment.
• It should be 'Besides' which is a preposition and it means 'in addition to, apart from' .
• Example: Besides its famous cakes, the bakery also makes delicious bread and biscuits.
• From the above example sentence and the meaning of the word 'besides' it is clear to us that 'besides of' is erroneous here.
• Therefore, the correct answer is option 2.

Correct Sentence: Do you play any other sports besides cricket and football?

The erroneous segment is 'told us to be at the work'.

Key Points

• The given sentence is grammatically incorrect.
• The error lies in the 'told us to be at the work' part of the sentence.
• It should be 'told us to be at work' in the above-given sentence as there is no need of using the definite article 'the' here which is used to show specificity.
• Therefore, the correct answer is option 1.

The correct answer is 'Patriot'.

Key Points

• One word for the given group of words is :
• The marked option 'patriot' means a person who loves his/her country and is ready to defend it against an enemy.
• Example: All those freedom fighters who got martyred in the war for the freedom of the country are revered in history as Patriots.
• ​From the above meaning and the example sentence, it is clear that 'patriot' is the one word for the given group of words.
• ​Thus, the correct answer is option 2.

Additional InformationOther options and their meanings.

• Patron- A person who gives money and support to artists, writers and musicians
• Patriarch- A man who is the head of a family or social group
• Expatriate- A person who lives outside his/her own country

The correct answer is 'abate'.

Key Points

• The one word for 'Become less intense or widespread' from the given options :
• The marked option 'Abate' means is to become less strong, to reduce in amount, degree, intensity. (घटाना)
• Example: We must abate the noise in our big cities.
• From the above given meaning and example sentence, we are sure that 'abate' is the one word for the given group of words.
• Therefore, the correct answer is option 4.

​

Additional Information

• Ablaze - It means 'on fire' or 'glowing with light, color, or emotion.' (जलता)
• Abode - This word refers to a place of residence; a house or home. (निवास स्थान)
• Abide - It means to bear patiently or tolerate; to endure; or to live or reside in a place. (सहना)

The correct answer is 'Exact'.

Key Points

• The given word 'accurate' means exact and correct; without mistakes.
• Example: His memory is accurate for certain details.
• From the meaning of the given word, it is pretty obvious that 'exact' is its synonym.
• Therefore, the correct answer is option 1.

The correct answer is 'for further studies in medicine'.

Key Points

• The given sentence is grammatically incorrect.
• The usage of 'to' in the underlined segment is incorrect.
• Here, the preposition 'for' will be used to indicate 'a purpose'.
• Here, Naveena won a scholarship for the purpose of further studies in medicine and she decided to go abroad for it.
• Therefore, the correct replacement is 'for further studies in medicine'.
• Thus, the correct answer is option 3.

The correct answer is 'Refuge'.

Key Points

• Refuge means protection or shelter from danger, trouble.
• Example: Army personnel took refuge in a bomb shelter.
• The marked option 'Shelter' means to protect yourself, or another person or thing, from bad weather, or danger.
• Hence, Refuge, and Shelter are similar in meanings to each other and they are synonyms.
• Therefore, the correct answer is option 2.

The correct answer is 'meagre'.

Key Points

• Ample means generous or more than adequate in size, scope.
• Example: She had saved ample money for the Florida trip.
• The marked option 'meagre' means too small in amount.
• Therefore, from the above meaning of the marked option and the meaning of the given word 'ample' , we are clear that they are antonyms of each other.
• Thus, the correct answer is option 4.