DSSSB TGT Hindi (Female) 28 Aug 2018 Shift 2 (Previous Year Paper)

The logic followed is:

Decoding the information, 

 

Given the equation: 6 N 12 L 14 P 7 M 5 = ?

After replacing the signs from left to right and using the BODMAS rule,

6 × 12 + 14 ÷ 7 - 5 = ?

6 × 12 + 2 - 5 = ?

72 + 2 - 5 = ?

74 - 5 = ?

? = 69

Hence, the correct answer is "69".

The pattern followed is:

Hence, the correct answer is "V48".

The followed is:

Ammeter, instrument for measuring either direct or alternating electric current, in amperes.

Similarly,

Barometer is a scientific instrument used to measure pressure.

Pressure is related to barometer in the same way as the second word is related to the first one.

Hence, the correct answer is "Pressure".

Additional Information

LOGIC: Both the figures are the same.

1) In option 1:

Both the figures are squares.

2) In option 2:

Both the figures are squares.

3) In option 3:

One figure is a pentagon and another is a triangle.

4) In option 4:

Both the figures are circular and the same.

Hence, Option (3) is the correct answer.

 

Side of polygons and their name:

The Correct mirror image of the given figure when the mirror is placed at the left side:

Hence, the correct answer is "Option 4".

Additional Information

In a mirror image, Left changes to the right and the right changes to the left vice-versa.

When placement of mirror not given, By default we will assume it in Vertical direction.

The Letter adjacent to the mirror after the mirror image will adjacent to it just with the left change to right and right change to left vice-versa.

The starting letter of the word will be at last after the mirror image drawn with left changes to right and right changes to left.

The first figure is rotated 180° clockwise to get the second figure.

Similarly;

The third figure is rotated 180° clockwise to get the fourth figure.

Hence, option (1) is the correct answer

Ratio of Present ages of Sameer and Prashant = 2 : 3

Assume;

Age of Sameer = 2x

Age of Prashant = 3x

After 6 years;

Age of Sameer = 2x + 6

Age of Prashant = 3x + 6

According to question;

(2x + 6) : (3x + 6) = 4 : 5

(2x + 6) × 5 = 4 × (3x + 6)

10x + 30 = 12x + 24

12x - 10x = 30 - 24

2x = 6

x = 3

So; 

Age of Sameer = 2x = 6 years

Age of Prashant = 3x = 9 years

Hence, option (4) is the correct answer.

• The correct answer is Option 1: Will call an ambulance or take him to the hospital for treatment by any means.

 

• Qualities Projected in this situation:  (Effective intelligence, speed of decision, and sense of responsibility).

Key Points

• Checklist for attempting SRT questions:

1. Read the question and options carefully.
2. Look for options that are realistic, optimistic, and reflect officer-like qualities.
3. Do not skip any situation.
4. Relegate the negative sentences and choose the most logical option among the remaining. As time is an important factor, hence your thinking ability should be swift.
5. React quickly and be logical.

Thus, the image that is formed after folding the paper is an image shown below,

Hence, the correct answer is "Option 2".

Given:

Sudhir is 28 years old as on 1/1/18, he has a post-doctoral and master's degree in Maths.

He has also secured more than 75% marks in academic education.

He has no experience but is ready to be on probation for one year of service. 

All conditions are as follows;

 

Sudhir fulfills all the given criteria for the recruitment process in a research organization.

So, He should be selected as Junior Scientist.

Hence, the correct answer is "Junior Scientist".

Mistake Points

Option 1: 

It's look like the given figure is embedded in it but when we see the edges which is flat here but the question figure the edges are curved which only satisfy in the given option 3.

As we can see the given figure is embedded in Option 3. 

Hence, the correct answer is "Option 3".

The logic followed is:

In all of the given options except option (2), the first word is the study of second whereas mycology is the study of fungi which is incorrectly match.

Option 1: Cardiology

Cardiology is the study and treatment of disorders of the heart and the blood vessels.

Option 2: Mycology

Mycology, the study of fungi, a group that includes the mushrooms and yeasts not insects. This is incorrectly matched. 

Option 3: Hematology

Hematology is the study of blood and blood disorders.

Option 4: Physiology

Physiology is the study of how the human body works.

Hence, the correct answer is "Option 2".

Confusion Points

• Entomology is the Study of Insects.
• Etymology is the study of Words and their
  

Origins.

• Phycology is the study of Algae.
• Mycology is the study of fungi.

 

Preparing the family tree using the following symbols:

A possible tree diagram will be:

Hence, the man is the cousin of the woman.

The logic followed is:

1. When moving from figure 1 to 2, half part of the figure get shaded.

Similarly,

2. When moving from figure 3rd to fourth, half part of the figure will get shaded.

Thus only one figure is satisfying the given patter is:

The complete series is:

Hence, the correct answer is "Option 1".

 

Given:

Revenue from all products is $12,400.

Percentage production of Sugar-free chocolate = 5%

Now,

Income from the sales of Sugar-free chocolate = 5% of $12,400

⇒ 5/100 × $12,400

⇒ .05 × $12,400

⇒ $ 620

Hence, the correct answer is "$ 620".

A group of 1600 persons including Captain and soldiers is traveling on a train.

There is one captain for every 15 soldiers. 

Number of captains in the group = Total number/(Number of soldiers in a group + Captain)

= 1600/(15 + 1)

= 100

Hence, "100" is the correct answer.

The logic followed is:

Option 1: 81 : 729

(9)² : (9)³

81 : 729

Option 2: 25 : 125

(5)2 : (5)3

25 : 125

Option 3: 64 : 256

(8)2 : (8)3

64 : 512 ≠ 256

Option 4: 49 : 343

(7)2 : (7)3

49 : 343

Hence, the correct answer is "Option 3".

The correct Venn diagram representation is:

Both pedals and handles are parts of the cycle.

Hence, option (3) is the correct answer.

The logic followed is:

A textbook always has Pages. Without pages, it can't be called a textbook. A textbook can be either with or without tables, pictures, or illustrations but it can't be without a page.

Hence, the correct answer is "pages".

Logic: Each number of the given series is multiplied by 7 to get the next term in the series.

Hence, the 7th term is the "588245".

The correct answer is d - g, b - h, c - e, a - f.

Key Points

• Bhand Pather
• It is one of the most satirical and realistic dramas this drama incorporates mythological legends and contemporary social satire and a traditional mixture of art.
• Bhands in India are now an endogamous Muslim community, which is no longer involved in their traditional occupation of folk entertainment.
• They include actors, dancers, minstrels, storytellers and impressionists.
• The term ‘Bhand’ comes from ‘bhaana’, which is a satirical and realistic drama, generally a monologue that is mentioned in Bharata's Natya Shastra.
• The plays of the Bhands are called ‘Pather’.
• It belongs to Kashmir.
• Yakshagana
• It is a traditional theatre form of Karnataka.
• It literally means the song of the yaksha.
• It developed in the Udupi district of Karnataka.
• It is believed to have originated between the 10th and 16th centuries.
• It is a temple art form that depicts mythological stories, Ramayana, Mahabharata, Bhagavata, and other Hindu epics.
• Bhavai
• ​Bhavai is the traditional theatre form of Gujarat.
• The centres of this form are Kutch and Kathiawar.
• The instruments used in Bhavai are bhungal, tabla, flute, pakhaawaj, rabaab, sarangi, manjeera, etc.
• In Bhavai, there is a rare synthesis of devotional and romantic sentiments.
• Jatra
• Jatra is a popular folk-theatre form of Odia theatre, Bengali theatre, spread Indian states of Odisha, West Bengal, Bihar, Assam, and Tripura.

The correct answer is Tim Berners - Lee.

Key Points

• Tim Berner-Lee invented the World Wide Web.
• The full form of WWW is the World Wide Web.
• World Wide Web connected the world in a way that was not possible before and made it much easier for people to get information, share, and communicate.
• It allowed people to share their work and thoughts through social networking sites, blogs, and video sharing.
• He invented the World Wide Web in 1989.
• Tim Berner-Lee was knighted by Queen Elizabeth II in the year 2004.
• Internet Protocol was introduced by Robert E. Kahn and Vint Cerf in 1974.

 

Additional Information

• Inventors:

The correct answer is Mohammad Ghori.

Key Points

• There were 5 dynasties in the Delhi Sultanate.
• The Mamluk dynasty was the first dynasty of the Delhi Sultanate.
• It reigned from 1206-1290.
• The Khilji dynasty was the second dynasty of the Delhi Sultanate.
• It reigned from 1290-1320.
• The Tughlaq dynasty was the third dynasty of the Delhi Sultanate.
• It reigned from 1320-1414.
• The Sayyid dynasty was the fourth dynasty of the Delhi Sultanate.
• It reigned from 1414-1451.
• The Lodhi dynasty was the fifth dynasty of the Delhi Sultanate.
• It reigned from 1451-1526.

Additional Information

• Muhammad Ghori first attacked India in Multan in 1175 A. D.
• In medieval India Solanki queen, Naikidevi defeated Mohammad Ghori in the battle of Kayadara.
• Khokhars were the last belligerents against whom he had led a campaign.
• He belonged to the Ghurid dynasty and wanted to establish Muslim rule in India.
• His full name was Shahabuddin Alias Muizuddin Muhammad Gauri.

The correct answer is Liquid asset.

Key Points

• A liquid asset is something you own that can quickly and simply be converted into cash while retaining its market value.
• It's an asset that is easy to sell or convert into cash without any loss in its value.
• Some examples of assets that would be considered liquid are Cash or savings accounts.
• Statutory Liquidity Ratio or SLR is a minimum percentage of deposits that a commercial bank has to maintain in the form of liquid cash, gold, or other securities.
• These are not reserved with the Reserve Bank of India (RBI), but with banks themselves. The SLR is fixed by the RBI.
• In India, the Statutory liquidity ratio is the Government term for the reserve requirement that commercial banks are required to maintain in the form of

1. Cash
2. Gold reserves, and
3. Reserve Bank of India- approved securities before providing credit to the customers.

The correct answer is Ryotwari.

Key Points

• The Ryotwari system was a land revenue system introduced during the British Raj.
• The Ryotwari System was introduced by Thomas Munro.
• Thomas Munro served as the governor of Madras from 1820 to 1827.
• Thomas Munro introduced the Ryotwari System in Bombay and Madras in 1820.
• A direct settlement was made between the government and the cultivators under the Ryotwari System.
• The Ryotwari System was first recommended by Charles Reed.
• The revenue was fixed for a period of time on the basis of the quality of soil and the nature of the crop.

Additional Information

• ​Lord William Bentinck introduced the Mahalwari system of land revenue in India.
• He was the Governor-General of India(1828-35) and introduced in 1833.
• It was started in Central Province, North-West Frontier, Agra, Punjab, Gangetic Valley, etc of British India.
• The Mahalwari system had many Zamindari System and Ryotwari System provisions.
• The land has been divided into Mahals in this system.

The correct answer is Religion.

Key Points

• The Ashoka Chakra in the centre of the Indian national flag is the wheel of the law of dharma.

• It represents Religion.

• Ashok Chakra is considered as the Dharma Chakra which is also known as the Samay Chakra.

• It consists of a wheel represented with 24 spokes.

• Pingali Venkayya was an Indian freedom fighter and the designer of the flag on which the Indian national flag was based.

• The flag was adopted by Constituent Assembly on 22 July 1947.

The correct answer is Organization of Petroleum Exporting Countries (OPEC).

Key Points

• Organization of the Petroleum Exporting Countries
• It is a permanent, intergovernmental organization, created at the Baghdad Conference in 1960.
• It aims to manage the supply of oil in an effort to set the price of oil in the world market, in order to avoid fluctuations that might affect the economies of both producing and purchasing countries.
• Founder Members: 
• ​Iran, Iraq, Kuwait, Saudi Arabia, and Venezuela.
• Headquarter: Vienna, Austria.
• Membership:
• OPEC membership is open to any country that is a substantial exporter of oil and which shares the ideals of the organization.
• OPEC has a total of 13 Member Countries viz. Iran, Iraq, Kuwait, United Arab Emirates (UAE), Saudi Arabia, Algeria, Libya, Nigeria, Gabon, Equatorial Guinea, Republic of Congo, Angola and Venezuela are members of OPEC.
• It is a loosely affiliated entity consisting of the OPEC members and 10 of the world's major non-OPEC oil-exporting nations which are:
• Azerbaijan, Bahrain, Brunei, Kazakhstan, Malaysia, Mexico, Oman, Russia, South Sudan and Sudan.

 

Additional Information

• Headquarter of other Organizations:
• World Trade Organization (WTO): Geneva, Switzerland.
• World Health Organization (WHO): Geneva, Switzerland.
• International Labor Organization (ILO): Geneva, Switzerland.

The correct answer is Atal Bihari Vajpayee.

Key Points

• Atal Bihari Vajpayee:
• Bharat Ratna Atal Bihari Bajpayee, who was the Prime Minister of the country three times.
• He remained in the position of Prime Minister for only 2,272 days.
• Atal Ji ranks fourth among the leaders who have been the PM of the country for the longest time.
• He became PM for the first time for only 16 days (6 May 1996 and on 1 June 1996).
• He had to resign due to the fall of the government by one vote.
• Then Vajpayee held the post of Prime Minister from 19 March 1998 to 22 May 2004 i.e. 6 years 54 days.

Mistake Points 

Additional Information

• Indira Gandhi:
• Indira Gandhi was the first female Prime Minister of the country.
• Indira Gandhi holds the record for being Prime Minister for 5,829 days.
• She remained the PM continuously from 24 January 1966 to 24 March 1977 (11 years, 59 days).
• After this, she remained PM for the second time from 14 January 1980 to 31 October 1984.
• That is, she remained in the post of PM again for 4 years and 291 days before being assassinated.
• Jawaharlal Nehru is the prime minister of India.
• He is the Prime Minister who has had the longest term in office.
• He served as the prime minister of India from 15th August 1947 to 1964.
• He was honoured with the Bharat Ratna in 1955.
• The name Panchayatiraj was given by Jawaharlal Nehru.
• Manmohan Singh is the 13th Prime Minister of India (2004 to 2014), 2 consecutive times.
• He was served as the Governor of the Reserve Bank of India from 1982 to 1985.

The correct answer is Lal Krishna Advani.

Key Points

• Lal Krishna Advani
• Lal Krishna Advani is an Indian politician who was a founding member of the Bharatiya Janata Party (BJP) and deputy prime minister of India (2002–04).
• He was largely responsible for popularizing and strengthening the BJP, which, from its formation in 1980, emerged as one of the strongest political forces in India.
• After graduating from the D.G. National College in Hyderabad, Advani studied law at the Government Law College in Bombay (now Mumbai).
• He joined the militant Hindu group Rashtriya Swayamsevak Sangh (RSS; “National Volunteers Corps”) and took charge of its activities in Rajasthan in 1947.
• When Syama Prasad Mookerjee founded the Bharatiya Jana Sangh (BJS; Indian People’s Association), the political wing of the RSS, in 1951, Advani became secretary of the party’s unit in Rajasthan.
• He held that position until 1970 when he moved to the Delhi unit.

 

Additional Information

• Finance Minister of India:

The correct answer is Gravitation.

Key Points

• Laser Interferometer Gravitational-wave Observatory is a full form of LIGO.
• It is a huge observatory to detect cosmic gravitational waves.
• LIGO is the largest and most ambitious project ever funded by the NSF (National Science Foundation).
• In 2015, scientists detected waves for the first time using LIGO.
• And because of this In 2017, the Nobel Prize in Physics was awarded to Rainer Weiss, Kip Thorne and Barry C. Barish.
• For decisive contributions to the LIGO detector and the observation of gravitational waves.

The correct answer is Manmohan Singh.

Key Points

• Ex-Prime Minister Dr Manmohan Singh was a member of the Rajya Sabha but not a member of Lok Sabha.

Additional Information

• If the Prime Minister is a member of the Rajya Sabha, he will not be able to vote in favour in the event of the no-confidence motion.
• Being a Prime Minister, he can make statements in both Rajya Sabha and Lok Sabha.
• He need not become a member of the Lok Sabha.

Important Points

• About Prime Minister:
• The Constitution does not contain any specific procedure for the selection and appointment of the Prime Minister.
• Article 75 says only that the Prime Minister shall be appointed by the President.
• Constitutionally, the Prime Minister may be a member of any of the two Houses of parliament.
• For example, three Prime Ministers, Indira Gandhi (1966), Deve Gowda (1996) and Manmohan Singh (2004), were members of the Rajya Sabha.
• The term of the Prime Minister is not fixed and he holds office during the pleasure of the President.
• The Prime Minister is the leader of the Lower House.

The correct answer is Katchatheevu.

Key Points

• Katchatheevu is an uninhabited island administered by Sri Lanka and was a disputed territory claimed by India until 1976.
• Ownership of the island was controversial up until 1974 as during British Rule the island was administered by both countries.
• India recognized Sri Lankan equal ownership.
• The legality of the transfer was challenged in the Indian Supreme Court since the recognizing was not ratified by the Indian parliament.
• This recognition of an island that is culturally important to fishermen of Tamil Nadu state in India has led to some agitations by Tamil Nadu politicians that it should be claimed to Indian sovereignty.

The correct answer is Paris.

Key Points

• The 2024 Olympic Games are hosted by France's capital, Paris, and the 2028 US city of Los Angeles.
• 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.
• 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.

​

Additional Information

• In ancient times it was organized in 1896 in Athens, the capital of Greece.
• It was named Olympic because of the sport played on Mount Olympia.
• Pierre de Kuvarthen is considered the father of the modern Olympic Games.
• The International Olympic Committee was founded in 1894 by Pierre de Kuvarthen. It is headquartered in Lausanne, Switzerland.
• The Olympic Games motto is "Citius-Altius-Fortius-Communiter".​
• The five rings on the Olympic emblem are of five colors, red, blue, green, yellow, and black.
• These rings represent five continents. (North and South America is considered a continent.)

The correct answer is Water.

Key Points

• Modern Periodic Table:
• The modern periodic table is used to organize all the known elements. Elements are arranged in the table by increasing atomic number.
• In the modern periodic table, each element is represented by its chemical symbol.
• The number above each symbol is its atomic number.
• Atomic numbers increase from left to right and from top to bottom in the table.
• Rows of the periodic table are called periods. From left to right across a period, each element has one more proton than the element before it.
• Columns of the periodic table are called groups. Elements in the same group have similar properties.
• All elements can be classified into one of three classes: metals, metalloids, or nonmetals.
• Elements in each class share certain basic properties. From left to right across each period of the periodic table, elements change from metals to metalloids to nonmetals.

The correct answer is Bhopal, Madhya Pradesh.

Key Points

• The Indian Institute of soil science is located at Bhopal in Madhya Pradesh.
• It was established on 16th April 1988.
• It was established under the Indian council of agricultural research (ICAR) by the Ministry of Agriculture.
• Indian Institute of soil science is formed with an aim to enhancing soil productivity with minimum environmental degradation.
• Indian Institute of soil science has emerged as a leader in basic and strategic research on soils in the country.
• Indian Institute of soil science has given the priority to soil health-related issues faced by farmers and other stakeholders to accomplish the mandate of the institute.
• Indian Institute of forest management is located at Bhopal in Madhya Pradesh.

The correct answer is Ace.

Key Points

• The terms ace is associated with tennis.
• In it, the ball is put into the service box in such a way that it cannot be touched or returned by the opposing player with his racket.
• The international tennis federation is the highest governing body for the sport of tennis.
• The game was first played in the 19th century in England.
• The game could be outdoor or indoor.
• Ball, racket, and net are the equipment that is used in the game.
• It is an Olympic sport.
• The game of tennis can be played as either single (one team) or doubles (doubles).
• In Birmingham England, modern tennis was originated.

Additional Information

• Some famous tennis players are:-
• Rafael Nadal
• Serena Williams
• Roger Federer
• Mahesh Bhupathi
• Novak Djokovic

The correct answer is In New Delhi.

Key Points

• The Bahai House of Worship, popularly known as the Lotus Temple is not only a symbol of excellence in modern Indian architecture but also one of the most visited religious buildings in the world.
• The Temple located on a 9.7-hectare site near Nehru Place in South Delhi is a place of worship open to all races, religions, and castes.
• The form of this House of Worship takes the shape of the lotus, a flower considered sacred by most Indians.
• It is designed to reflect the simplicity, clarity, and freshness of the Baha'i Faith and to act as a symbol of the unity of mankind and religions.
• The structure is composed of three ranks of nine petals each, springing from a podium that elevates the building above the surrounding plain.
• The reinforced-concrete petals are clad by white marble panels, done to fit the surface profiles and to patterns related to the structure's geometry.

The correct answer is Phenol.

Key Points

• Carbolic Acid has the chemical formula of C6H5OH and is commonly known as Phenol.
• Phenol is mostly used as a disinfectant in household cleaners and in mouthwash.
• Phenol is an aromatic organic compound characterized by a hydroxyl (―OH) group attached to a carbon atom that is part of an aromatic ring.
• Besides serving as the generic name for the entire family, the term phenol is also the specific name of its simplest member, monohydroxybenzene (C6H5OH).
• It is also known as Carbolic acid.
• In 1865, the British surgeon Joseph Lister used phenol as an antiseptic to sterilize his operating field.

The correct answer is It is not suitable for growing vegetables and fruits.

Key Points

• Alluvial soil contains silt, sand, clay, and gravel as well as humus, lime, and organic matter.
• It is usually most extensive in the lower part of a river's course, forming floodplains and deltas, but they may form at any point where the river overflows.
• Major characteristics of alluvial soil are it is made by the deposition of the river load as it flows from its upper to its lower.
• On the basis of its ages alluvial soil is divided into Bhangar (Old alluvium) and Khadar (New alluvium).
• It is porous as well as light, so it is easily tillable.
• They are generally rich in potash but poor in phosphorous. Hence statement III is correct.
• Alluvial soil is widespread in northern plains and river valleys.
• Wheat, rice, maize, sugarcane, pulses, oilseed are mainly cultivated in alluvial soil.

The correct answer is Short Cap Funds.

Key Points

• Large-cap mutual funds - In large-cap funds, a large portion of the investment is done in companies with large market capitalization. Large-cap are big, well-established companies in the equity market. These companies are strong, reputable, and trustworthy. Large-cap companies generally are the top 100 companies in a market.
• ​Large-cap funds have lower growth potential and give investors lower returns on investment as compared to mid and small-cap funds.
• Such companies have capital worth 20,000 crores or more.
• Mid-cap mutual funds - In mid-cap funds, a large portion of the investment is done in companies with medium market capitalization.
• It has better growth potential and gives investors higher returns on investment as compared to large-cap funds.
• Small-cap mutual funds - In small-cap funds, a large portion of the investment is done in companies with small market capitalization i.e. having a market cap of less than INR 500 crore.
• It has exponential growth potential and gives investors high returns on investment.

Calculation:

LCM of 12, 16, 24 = 48

So, the required number x will be in the form of 48m, where m is a natural number

According to question:

Least number which when divided by 13 the remainder is 1

The number be x,

(x - 1) is divisible by 13

Now we can check one by one by putting m = 1, 2, 3, 4......... which will be the smallest number divisible by 13

taking m = 1 

we get 48; 47 which is not divisible by 13

taking m = 2 

we get 96; 95 which is not divisible by 13

taking m = 3 

we get 144; 143 which is divisible by 13

 

⇒ Now 144 divided by 52. the remainder is 40

∴ The remainder is 40.

Concept: 

To find the unit digit of any number, find the cyclicity of the unit digit of the given number.

Cyclicity = Number of times after which the unit digit starts repeating itself when a number undergoes power operation

Example: Cyclicity of 2 = 4 (21 = 2, 22 = 4, 23 = 8, 24 = 16, 25 = 32)

Same way, Cyclicity of 4 = 4

Calculation:

x = 57⁴⁹² × 74231 × 23⁵⁹

Divide the power by 4 and write the remainder in the place of power. 

⇒ x = 57⁰ × 74³ × 233

considering only unit digits after simplifying the power:

⇒ x = 1 × 4 × 7 = 28

∴ The unit digit of x is 8.

Given:

Solid rectangular metal block of length = 16 cm

Solid rectangular metal block of breadth = 11 cm

Solid rectangular metal block of height = 7 cm

Solid right circular cylinder of height = 8 cm

Concept used:

If we melt this cuboid (solid rectangular metal block) and cast in the cylinder of height 7 cm

Then the volume of cuboid = volume of cylinder

Formula used:

The volume of the cuboid = l × b × h

Here, l → Length, b → Breadth, h → Height

Volume of cylinder = πr²h 

Total surface area of cylinder = 2πr(r + h)

r = radius of the cylinder

h = height of cylinder

Calculation:

According to the question,

Volume of cuboid = Volume of cylinder

⇒ l × b × h = πr2h 

⇒ 16 × 11 × 7 = 22/7 × 8 × r²

⇒ r² = 49

⇒ r = 7 cm

Now, 

Total surface area of cylinder = 2πr(r + h)

⇒ 2 × (22/7) × 7 × (7 + 8)

⇒ 2 × (22/7) × 7 × 15

⇒ 44 × 15 = 660 cm²

∴ The total surface area of the cylinder is 660 cm².

The cost price of A = xp

The cost price of B = yp

After two years;

Cost Price of A = 110% of xp = 11xp/10

Cost Price of B = 80% of yp = 4yp/5

After two years, their prices are in the ratio 10 : 7

⇒ (11xp/10)/(4yp/5) = 10/7

⇒ (11xp × 5)/(10 × 4yp) = 10/7

⇒ 11x/8y = 10/7

⇒ x/y = (10 × 8)/(7× 11)

⇒ x/y = 80/77

Now;

Put x = 80t, and y = 77t

$= \dfrac{80y - 2x}{60y + 6x}$

$= \dfrac{(80 \times 77t) - (2 \times 80t)}{(60 \times 77t) + (6 \times 80t)}$

$= \dfrac{(6160t) - (160t)}{(4620t) + (480t)}$

$= \dfrac{6000t}{5100t}$

$= \dfrac{20}{17} = 1 \dfrac{3}{17}$

Hence, option (3) is the correct answer.

Given:

Marked Price : Cost Price = 5 : 3

Marked Price: Selling Price = 9 : 5

So, 

Marked Price : Cost Price : Selling Price = 45 : 27 : 25

Let;

Cost Price = 27x

Selling Price = 25x

Cost Price > Selling Price

So, loss has been occured.

Loss Percent = (Loss × 100)/Cost Price

Loss = Cost Price - Selling Price

Loss = 27x - 25x = 2x

Loss Percent = (2x × 100)/27x

Loss Percent = 200/27 %

Loss Percent = $7 \dfrac{11}{27} \%$

Hence, option (1) is the correct answer.

Given:

Avin spends 70% of his income. If his income increases by x% and his expenses increases by 10%.

Concept used:

Income - Expenses = Saving

Calculation:

Let the income be 100p

According to the question:

Avin spends 70% of his income

Expenses = 70p

⇒ 100p - 70p = 30p

Savings = 30p

Income increases by x% 

⇒ 100p + xp = (100 + x)p

Expenses increases by 10%

⇒ 10% = 1/10

Increase of  10% = 11/10

⇒ 70p × 11/10

⇒ 77p

Saving increased by 50/3%

⇒ New saving = 50/3% of 30p + 30p

= 35p

New savings = (100 + x)p - 77p

⇒ 23p + xp 

Now;

⇒ 23p + xp = 35p

⇒ 23 + x = 35

⇒ x = 35 - 23

⇒ x = 12%

∴ His savings are increased by 12%.

Let x be the side of an equilateral triangle.

Therefore, its area = ${\sqrt{3} \over 4} x^2$

Let the triangle is ABC and D is the point inside the triangle.

Now;

Area of ABC = Area of ADB + Area of BDC + Area of CDA

${\sqrt{3} \over 4} x^2 = {\frac{1}{2} \times x \times 16} + {\frac{1}{2} \times x \times 20} + {\frac{1}{2} \times x \times 22}$

⇒ ${\sqrt{3} \over 4} x^2 = {\frac{1}{2} \times x \times (16 + 20 + 22)}$

⇒ ${\sqrt{3} \over 4} x^2 = {\frac{1}{2} \times x \times 58}$

⇒ ${\sqrt{3} \over 4} x^2 = { x \times 29}$

⇒ $x = \frac{(29 \times 4)}{\sqrt{3}}$cm

Now;

Therefore, its area = ${\sqrt{3} \over 4} x^2$

= ${\sqrt{3} \over 4} \times{\frac{(29 \times 4)}{\sqrt{3}^2}}^2$

= 1942.20 = 1942 (Approx)

Hence, option (3) is the correct answer.

Given:

Total share of A and B = Rs. 50460

The amount of A after 8 years and that of B after 10 years = Compound interest at 5% per annum

Formula used:

A = [P(1 + R/100)T]

Where, A = Amount, P = Principal

R= Rate , T = Time

A^m/Aⁿ = A^{m - n}

Calculation:

Let  A's share be Rs. x

Then, B's share be Rs.(50460 - x)

According to the question:

x(1 + 5/100)⁸ = (50460 - x)(1 + 5/100)¹⁰

⇒ x/(50460 - x) = (1 + 5/100)10/(1 + 5/100)⁸

⇒ x/(50460 - x) = (1 + 5/100)²

⇒ x/(50460 - x) = (21/20)²

⇒ x/(50460 - x) = 441/400

⇒ 50460 × 441 - 441x = 400x

⇒ 50460 × 441 = 841x

⇒ x = Rs. 26460

Now, A's share = 26460

B's share = 50460 - 26460 = 24000

Difference between A and B = 26460 - 24000 = 2460

∴ The difference between A and B is Rs. 2460.

Given:

Time taken by boat to cover 4km upstream and 6 km downstream = 1 hrs.

Time taken by boat to cover 6 km upstream and 4 km downstream = 1 hrs 5 minutes

Concept Used:

If 'b' is the speed of a boat and 's' is the speed of a stream then,

Upstream speed of boat = b - s

Downstream speed of boat = b + s

Formula used:

Time = Distance/Speed

Calculation:

Let the speed of the boat be 'b' and the speed of the stream be 's'.

According to the question,

{4/(b - s)} + {6/(b + s)} = 1      ----(i)

{6/(b - s)} + {4/(b + s)} = 1 + 5/60 = 13/12      ----(ii)

Let us put 1/(b - s) = P and 1/(b + s) = Q in equation (i) and (ii),

So, 

4P + 6Q = 1      ----(iii)

6P + 4Q = 13/12      ----(iv)

Multiplying equation (iv) by 2 and Multiplying equation (iii) by 3 then, subtracting equation (iv) from equation (iii), we get

(12P + 18Q) - (12P + 8Q) = 3 - 13/6

⇒ 12P + 18Q - 12P - 10Q = 5/6

⇒ 10Q = 5/6

⇒ Q = 1/12

Putting the value of Q in equation (iii), we get

4P + 6Q = 1

⇒ 4P + 6 × 1/12 = 1

⇒ 4P = 1 - 1/2 = 1/2

⇒ 4P = 1/2

⇒ P = 1/8

So, b - s = 8 & b + s = 12

So, b = 10 km/hr and s = 2 km/hr.

∴ The speed of boat is 10 km/hr.

Calculation:

According to the question,

In vessels A,

Spirit = 5 × 2/5 = 2

Water = 5 × 3/5 = 3

In vessels B,

Spirit = 3 × 3/7= 9/7

Water = 3 × 4/7 = 12/7

In vessels C,

Spirit = 2 × 4/9 = 8/9

Water = 2 × 5/9 = 10/9

Total spirit = 2 + 9/7 + 8/9 = 263/63

Total water = 3 + 12/7 + 10/9 = 367/63

Ratio (in final solution) = S : W= 263/63 : 367/63 = 263 : 367

Now, let the spirit in solution be 263x litres

Let the water in solution be 367x litres

Then, final solution = 263x + 367x = 630x

According to the question,

630x = 1260 ml   [1 lt = 1000ml]

x = 2 ml 

Then Spirit = 2 × 263 = 526 ml 

Water = 2 × 367 = 734 ml

Extra water = 318 ml 

Total water in the new mixture = 734 + 318 = 1052

So, Required ratio = 526 : 1052 = 1 : 2

∴ The ratio of spirit and water in the final solution is 1 : 2.

⇒ $\left( 8 \div \dfrac{2}{3} \ of \ \dfrac{4}{5} \right) × \dfrac{(0.89)^2 + 0.64(1.53)}{(0.89)^3 - (0.64)^3} \div \left( 8 × \dfrac{2}{3} \div \dfrac{4}{5} \right)$

⇒ $\left(8 \div \dfrac{8}{15} \right) × \dfrac{(0.89)^2 + 0.64(1.53)}{(0.89)^3 - (0.64)^3} \div \left( 8 × \dfrac{10}{12} \right)$

⇒ $\left(8 × \dfrac{15}{8} \right) × \dfrac{(0.89)^2 + 0.64(1.53)}{(0.89)^3 - (0.64)^3} \div \left( \dfrac{80}{12} \right)$

⇒ $\left(15 \right) × \dfrac{(0.89)^2 + 0.64(1.53)}{(0.89)^3 - (0.64)^3} × \left( \dfrac{12}{80} \right)$

⇒ $15 × \dfrac{(0.7921) + 0.9792)}{0.704969 - 0.262144} × 0.15$

⇒ $15 × \dfrac{1.7713}{0.442825} × 0.15$

⇒ 15× 4 × 0.15

⇒ 60 × 0.15

⇒ 9

Given:

Cost Price of 4 fans and 9 watches = Rs. 26800

Profit = Rs. 3760

Formula Used:

Profit% = (SP - CP)/CP × 100

Loss% = (CP - SP)/CP × 100

where CP → Cost Price, SP → Selling Price

Calculations:

Let the cost price of 1 fan be x and 1 watch be y

4x + 9y = 26800      ----(1)

Selling Price of fan = 1.1 × 4x = 4.4x

Selling Price of watches = 1.2 × 9y = 10.8y

So now

4.4x + 10.8y = 26800 + 3760 = 30560      ----(2)

Solving (1) and (2) simultaneously

x = 4000

y = 1200

now calculating

 total cost price of 2 fans and 3 watches = 2x + 3y = (2 × 4000) + (3 × 1200)

 total cost price of 2 fans and 3 watches = 8000 + 3600 = 11600

∴  total cost price of 2 fans and 3 watches is Rs. 11600

Given:

Total distance = 360 km

Speed = 30km/hr

Formula used:

Speed = Distance ÷ Time

Time = Distance/Speed

Calculation:

Time = 360/30 = 12 hours.

He covers total distance of 360 km at a speed of 30 km/h at time 12 hours.

According to the question,

Every day he reaches his destination at five o'clock in the evening,

Then, clearly he started walking five o'clock in the morning because total covered a distance in 12 hours.

Now,

He started walking late by 2 hours, but still reached five o'clock in the evening,

⇒ five o'clock + 2 hours = 7 o'clock in the morning but still reached five o'clock in the evening, total covered a distance in 10 hours.

According to the question,

Let his speed increased be x km/hr.

360/(x + 30) = 10

⇒ x + 30 = 36

⇒ x = 6 km/hr

Increase his speed = 6 km/h 

Required percentage = (6/30) × 100 = 20%

∴ Required percentage is 20%.

Given:

Average of 15 numbers = 72.4

Average of first 6 numbers = 69.5

Average of last 6 numbers = 74.5

The 13th number is 8 less than the 14th number and the 13th number is 8 more than the 15th number.

Concept used:

Sum of numbers = Average × Number of numbers

Solution:

Total sum of 15 numbers = 15 × 72.4 = 1086

Sum of first 6 numbers = 69.5 × 6 = 417

Sum of last 6 numbers = 74.5 × 6 = 447

Now, Sum of first 6 numbers and last six numbers = (417 + 447) = 864

So, Sum of (13th + 14th + 15th) number = (1086 - 864) = 222

According to the questions,

13th number = 14th number - 8

and 13th number = 15th number + 8

Let the 14th number be x.

13th number = x - 8 equation (1)

x - 8 = 15th number + 8

15th number = x - 16 equation (2)

so, (x + x - 8 + x - 16) = 222

⇒ 3x = 222 + 24

⇒ 3x = 246

⇒ x = 82

So, 13th number = 82 - 8

= 74

15th number = 82 - 16 = 66

Thus the average of 13th and 15th numbers = (74 + 66)/2

⇒ 140/2 = 70

Given:

50% of 1/5 of A is equal to twice 50% of 25% of B

A.T.Q

50/100 × 1/5 × A = 2 × 50/100 × 25/100 × B

1/2 × 1/5 × A = 2 × 1/2 × 1/4 × B

A/10 = B/4

A/B = 10/4

A is 6 more than B.

A % more than B = (6/4) × 100

⇒ 150%

Given:

Two equal annual installments(x) = Rs. 1764

Formula used:

Compound interest = Amount - Principal

$P = \left[ {\frac{X}{{1 + \frac{R}{{100}}}} + \frac{X}{{{{\left[ {1 + \frac{R}{{100}}} \right]}^2}}} } \right]$

Calculation:

According to the question,

$P = \left[ {\frac{1764}{{1 + \frac{5}{{100}}}} + \frac{1764}{{{{\left[ {1 + \frac{5}{{100}}} \right]}^2}}} } \right]$

⇒ $P = \left[ {\frac{1764 × 20}{21} + \frac{1764 × 400}{441 } } \right]$

⇒ $P = \left[ {\frac{1764 × 20}{21} + \frac{1764 × 400}{441 } } \right]$

⇒ P = 1680 + 1600 = Rs. 3280

Total amount = Rs. 1764 × 2 = Rs. 3528

Compound interest = Amount - Principal

⇒ 3528 - 3280 = Rs. 248

∴ The interest paid in this scheme is Rs. 248.

Calculation:

A alone can finish the work in 48 days

A’s one day work = 1/48

A and B complete the whole work in = $11\frac{1}{3}$ days

A and B work on alternate days, with B beginning so, we can say B will work only 6 days A will work only $11\frac{1}{3} - 6{\rm{;}} = {\rm{;}}5\frac{1}{3}$ days

If A’s one day work = 1/48 of work A complete in = 1 days

A’s $5\frac{1}{3}$ days work = $\frac{1}{{48}}{\rm{}} \times {\rm{}}5\frac{1}{3}{\rm{}} = {\rm{}}\frac{1}{{48}}{\rm{}} \times {\rm{}}\frac{{16}}{3}{\rm{}} = {\rm{}}\frac{1}{9}$

Remaining work = 1 – [1/9] = 8/9

B complete 8/9 work in = 6 days

⇒ B complete whole work in = 6 × [9/8] = 27/4 days

∴ B alone complete the work is $6 \dfrac{3}{4}$days.

Formula used:

Dividend = Divisor × Quotient + Remainder

Calculation:

According to the question,

z = 9 × 2 + 6 = 24

y = 7 × 24 + 4 = 172

x = 5 × 172 + 2 = 862

Now, divisors is reversed

862 ÷ 9, quotient = 95, and remainder = 7

95 ÷ 7, quotient = 13, and remainder = 4

13 ÷ 5, quotient = 2, and remainder = 3

∴ The remainder is 7, 4, and 3, if the order of the divisors is reversed.

Given:

Total students = 8000

Calculation:

No. of girls = 8000 - 4450 = 3550

Required % = (3550/8000) × 100 = $44 \dfrac{3}{8}$%

∴ The required % is $44 \dfrac{3}{8}$%.

Given: 

Total students = 8000

Calculation:

No. of girls = 8000 - 4450 = 3550

Average of total girl = 3550/6 = 591.6

The number of boys is more than the average number of girls in all the schools together is 900, 1220,680, and 850.

∴ There are total 4 Schools.

The correct answer is 'something; a; a few;'

Key Points

• Let's explore options:
• snacks;some;many: Snacks is plural form of snack which is a small amount of food eaten between meals, some is a determiner which means a certain amount of or a number of and many is also a determiner which means a large number of people or things.
• anything, a few, much: Anything is a pronoun which means one thing (of any kind), a few is a determiner which means some, or a small number of something, and much is a determiner and (used with uncountable nouns, mainly in negative sentences and questions, or after as, how, so, too) a large amount of something.
• Something;a;a few: Something is a pronoun which is used to express a thing that is not known or not named, a is an indefinite article and used before a noun which is unspecific or general, and a few is a determiner which means some, or a small number of something.
• any;the;many: any is a determiner which is used instead of 'some' in negative sentences and questions, the is a definite article which is used with a noun expressing a particular idea, and many is a determiner which means a large number of people or things.
• Now, in part B of the sentence, the adverb 'quite' is used which means to a certain degree and it generally is succeeded by an article. Therefore, only option 3 will be used in blanks.

Therefore the correct sentences are:

A: l am very hungry. Give me something to eat before lunch time.

B: Have a banana then. There are quite a few on the dining table.

The correct answer is 'In the Jain tradition of the Mahabharata, the battle is not between the Pandavas and the Kauravas but between Krishna of Dwaraka, and Jarasandha, the emperor of Magadha.'

Key Points

• Let's explore options:
• Statement 1 is a grammatically and contextually correct statement as it combines all the parts of the given question sentences into one.
• Statement 2 though grammatically correct it doesn't contain all the parts that are needed to be combined into one therefore it is an incorrect statement.
• Statement 3, is incorrect as it talks about the 'who supported who' in The Mahabharata which is not given in the question sentences.
• Statement 4 is also incorrect as it also talks about 'who supported who' in The Mahabharata which is not given in the question sentences.
• Thus, the correct answer is option 1.

The correct answer is 'do not want'.

Key Points

• The given sentence is in the present indefinite or simple present tense.
• Simple present tense: The simple present (also called present simple or present indefinite) is a verb tense which is used to show repetition, habit or generalization.
• Structure:
• Subject+ V1.
• Subject+ do/does + not+ V1.
• Example:
• Ravi likes to play cricket.
• Ravi doesn't like to play basketball.
• The given sentence is an example of simple present tense as it is stating a fact.
• Thus, 'do not want' will be used in the sentence.

Therefore, the correct answer is: 'I do not want to be rude either to you or to Amit.'

The correct answer is 'had;opened;called'.

Key Points

• The structure of no sooner is used to talk about something that happens immediately after something else and therefore it follows past perfect structure.
• Past perfect structure: The past perfect tense is a verb tense used to express actions that occurred in the past that finished before another action in the past started.
• Structure:
• Subject+ had+ V3.
• Example: After we had purchased tickets, we were able to enter the venue.
• Structure for 'no sooner...than'
• Subject+ had+no sooner+ V3+ than
• Example: I had no sooner closed the door than someone knocked.
• NOTE: When 'no sooner' is used at the beginning of the sentence, the sentence is inverted, i.e. auxiliary verb will come before the subject.
• Example: No sooner had she read the letter than she started screaming.
• Thus, 'had' will be used in the first blank, 'opened' will be used in the second blank and 'called' will be used in the third blank.

Therefore, the correct answer is: 'Shivani had no sooner opened the book than her friend called her.'

Additional Information

• Auxiliary Verb: Auxiliary verb is a verb used in forming the tenses, moods, and voices of other verbs such as 'is/are', 'has/have', etc.

The correct answer is 'look up'.

Key Points

• Let's explore the given phrasal verbs.

• Thus, from the above-given explanation, 'look up' will be used in the blank.

Therefore, the correct answer is: 'I need to look up what preventive measures are available to us at this stage of the disease.'

The correct answer is 'looks sometime', i.e. the error lies in this part of the sentence.

Key Points

• The error lies is in the incorrect usage of the adverb 'sometime'.
• 'Sometime' needs to be replaced with 'sometimes'.
• Though both are adverbs the difference lies in the usage, 'Sometime' is used to express at some unspecified or unknown time, whereas 'sometimes' is used to express occasionally, rather than all of the time.
• ​Example: 
• Sometimes I want to do things on my own.
• You must come and have supper sometime.
• Thus, the correct answer is option 3.

The correct sentence is: 'Have you ever noticed how tired my looks sometimes?' 

Additional Information

• Adverb: A word that adds to the meaning of a verb, an adjective, another adverb, or a whole sentence.

The correct answer is 'Potable'.

Key Points

• Let's explore the meaning of the marked word.
• Potable: clean and safe to drink.
• Example: This is not necessarily so, as is evidenced by the financial problems of the potable water systems in all three states.
• Thus, the correct answer is option 3.

Additional Information

• Let's explore the meaning of the other given options:

The correct answer is 'My friend Yasmin asked me if I knew that samosas, kebabs and pulaos came to India from the Middle East. She further added that the use of Indian spices changed the original taste.'

Key Points

• The given sentence is an example of a direct speech of interrogative sentence starting with a helping verb.
• Following rules are required to convert this type of sentence into indirect speech:
• In place of commas the conjunction 'that' will be used.
• The helping verb of the interrogative sentence (here, do) will be replaced with 'if/whether'.
• The tense of the reported speech will be changed. (Here, the reported speech is in simple present tense and it will be converted into simple past tense)
• Pronouns of the reported speech will be changed. (here 'you' will be converted to 'I').
• line up the last part.
• Thus, from the above rules, the correct answer is option 2.

Therefore, the correct sentence is: 'My friend Yasmin asked me if I knew that samosas, kebabs and pulaos came to India from the Middle East. She further added that the use of Indian spices changed the original taste.'

The correct answer is 'begining', i.e. it is a mis-spelt word.

Key Points

• 'Begining' is an incorrectly spelt word.
• Its correct spelling is 'Beginning'.
• Beginning: the first part of something or the start of something.
• Example: Notes on how to use this dictionary can be found at the beginning of the book.
• Thus, from the above, we can say that the correct answer is option 1.

Additional Information

• Let's explore the meaning of the other given options:

The correct answer is 'Indians prefer retelling stories of Krishna’s childhood and youth with his mother Yashoda and the Gopikas.'

Key Points

• Let's understand the rules:
• Noun: a word (other than a pronoun) used to identify any of a class of people, places, or things (common noun), or to name a particular one of these (proper noun). When a proper noun is used in a sentence the first letter of the word is always used in capital letters.
• Example: Ram, Shyam, etc.
• Subject-verb agreement: It states that if the subject is singular then the verb will be singular and if the subject is plural then the verb will be plural.
• Example: 
• He is going home.
• They are going home.
• Now let's explore options:
• Option 1 is incorrect as in the sentence proper nouns are used and the first letter of these nouns i.e. 'y' from 'yashoda' and 'g' from 'gopikas' is not in capital letters.
• Options 2 is incorrect as in the sentence proper nouns are used and the first letter of these nouns i.e.'k' from 'krishna's' 'y' from 'yashoda' and 'g' from 'gopikas' is not in capital letters.
• Option 3 is incorrect as in the sentence proper nouns are used and the first letter of these nouns i.e. 'y' from 'yashoda' and 'g' from 'gopikas' is not in capital letters.
• Option 4 is correct as it is a correctly punctuated sentence among the given ones.
• Thus, the correct answer is option 4.

The correct answer is 'sleep best than those', i.e. the error lies in this part of the sentence.

Key Points

• The error lies in the incorrect usage of the degree of adjectives.
• 'Best' needs to be replaced with 'better'.
• Comparative degree: The comparative is the form of an adjective or adverb involving a comparison of some sort. Comparatives in English are usually either marked by the suffix -er (as in "the faster bike") or identified by the words more or less ("the more difficult job").
• Superlative Degree: A Superlative degree expresses the supreme or extreme form of an Adjective. It is meant to indicate a particular characteristic or property of one thing in comparison to many other things.
• Thus, the correct answer is option 4.

Therefore, the correct answer is: 'Babies given solid food along with milk from three months of age sleep better than those who are solely fed on milk, finds a research study'

The correct answer is 'In India, the Mahabharata is considered inauspicious (by some people) because it deals with bloodshed and the breakup of a family.'

Key Points

• The given sentence is in a present indefinite sentence or simple present tense.
• Present simple tense: The present simple tense (also called the simple present tense) is used when we speak about habits, general facts, and timetables.
• Structure:
• Subject+ V1(s/es)+ object. (Active voice)
• object+ is/are + V3 + by subject. (Passive voice)
• Example:
• I play tennis. (Active voice)
• Tennis is played by me. (Passive voice)
• The following rules will be followed while converting Active voice into passive voice:
• Change the place of subject and object of active voice.
• Change the form of verb.
• By following the above rules, the correct answer is option 2.

Therefore, the correct answer is: 'In India, the Mahabharata is considered inauspicious (by some people) because it deals with bloodshed and the breakup of a family.'.

Additional Information

• Active voice: The active voice describes a sentence where the subject performs the action stated by the verb.
• Passive voice: With passive voice, the subject is acted upon by the verb.

The correct answer is 'Good-natured'.

Key Points

• Let's explore the meaning of the given word and the marked word.
• Amiable: having or displaying a friendly and pleasant manner.
• Example: He seemed an amiable young man.
• Good-natured: pleasant or friendly
• Example: Interaction at the ground or at ground-related events is supposed to be jovial and good-natured.
• Thus, from the above we can say that both 'Amiable' and 'Good-natured' are synonyms to each other.
• Therefore, the correct answer is option 3.

Additional Information

• Let's explore the meaning of the other given options:

The correct answer is 'to feel uncomfortable.'

Key Points

• 'A fish out of water' is an idiomatic phrase which means  a person who feels awkward or unhappy because they are in a situation that is not familiar or because they are different from the people around them. 
• Example:  I didn't have any friends that were like me. I just always felt like a fish out of water.
• Thus, the correct answer is option 2.

The correct answer is 'Introduce'.

Key Points

• Let's explore the meaning of the given word and the marked option.
• Terminate: to (cause something to) end or stop.
• Example: They terminated my contract in October.
• Introduce: bring (something, especially a product, measure, or concept) into use or operation for the first time.
• Example: The company plans to introduce 45 new models over the next five years.
• Thus, from the above-given explanation, we can say that both 'Terminate' and 'Introduce' are antonyms to each other.
• Therefore, the correct answer is option 4.

Additional Information

• Let's explore the other given options: