SSC CGL 2022 Tier-I Official Paper (Held On : 06 Dec 2022 Shift 4) (Previous Year Paper)

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

The correct mirror image of the given figure with the mirror MN placed as :

Hence, the correct answer is "Option 2".

According to BODMAS rule,

Given equation : 25 * 2 * 220 * 11 * 43

1. Using the combination : +, –, ×, =

25 + 2  – 220 × 11 = 43

25 + 2 - 2420 = 43

27 - 2420 = 43

2393 ≠ 43 

2) Using the combination : +, –, ÷, =

25 + 2 – 220 ÷ 11 = 43

25 + 2 - 20 = 43

27 - 20 = 43

7  ≠ 43 

3) Using the combination :  +, +, ÷, =

25 + 2 +  220 ÷ 11 = 43

25 + 2 + 20 =43

47 ≠ 43 

4)  Using the combination : –, +, ÷, =

25 – 2 + 220 ÷ 11 = 43

25 - 2 + 20 = 43

45 - 2 = 43

43 = 43

Hence, the correct answer is "Option 4".

Logic : First number × 2 → A - 1 = Second number

7 : 13 → 7 × 2 ⇒ 14 - 1 = 13

16 : 31 → 16 × 2 ⇒ 32 - 1 = 31

Similarly,

46 : 91 → 46 × 2 ⇒ 92 - 1 = 91 

Hence, the correct answer is "Option 3".

The pattern followed in the given series is:

The 'parallelogram' is moving in the anticlockwise direction and skips a space.

The 'pound' sign moves in the clockwise direction in each step.

The "arrow" moves in the clockwise direction and skips two spaces also it tilts in every alternate step.

Next step:

"Parallelogram" will be placed at bottom left.

"Arrow" will be placed at bottom center.

"Pound" sign will be placed at top left.

So, the image that complete the series will be: 

Hence, the correct answer is "option 1".

According to BODMAS rule

Given expression : [{(44 # 38) # (2 # 5)} # (4 # 2)] # 5 # 10

Option 1) ×, ÷, ×, ×, –, +, = 

[{(44 × 38) ÷ (2 × 5)} × (4 – 2)] + 5 = 10

[{1672 ÷ 10} × 8] + 5 = 10

[167.2 × 8] + 5 = 10

1337.6 + 5 = 10

1342.6 ≠ 10

Option 2) ×, –, +, ×, ÷, ×, = 

[{(44 × 38) - (2 + 5)} × (4 ÷ 2)] × 5 = 10

[{1672  - 7} × (8)] × 5 = 10

[1665 × (8)] × 5 = 10

13320 × 5 = 10

66600  ≠ 10

Option 3)  –, +, ×, ×, ÷, ×, =  

[{(44 - 38) + (2 × 5)} × (4 ÷ 2)] × 5 = 10

[{(6) + (10)} × (2)] × 5 = 10

[16 × (2)] × 5 = 10

32 × 5 = 10

160 ≠ 10

Option 4)  –, +, ×, ÷, ×, ×, =

[{(44 - 38) + (2 × 5)} ÷ (4 × 2)] × 5 = 10

[{(6) + (10)} ÷ (8)] × 5 = 10

[16 ÷ (8)] × 5 = 10

2 × 5 = 10

10 = 10

Hence, the correct answer is Option 4.

Let us first decode the symbols and then draw a family tree :

Family tree is as follows :

Drawing the Family tree as per the given information :

1) P + Q ÷ R

2) P ÷ R + Q 

3) Q + P ÷ R 

4) P + Q × R

Only first impression shows that P is the father of R.

Hence, the correct answer is "Option 1".

Let us first decode the symbols and then draw a family tree

Family tree is as follows :

Given expression : P – Q – R * S $ T

Drawing a family tree as per the given information:

P is Mother-in-law to T.

Hence, the correct answer is "Option 2".

The option in which given figure is embedded when rotation is not allowed is shown below :

Hence, the correct answer is "Option 1".

Here is the pattern followed:

Plants: Botanists → Botanists study how plants make food.

Animal: Zoologist → Zoology is the branch of biology that studies the animal kingdom.

Hence, the correct answer is "Option 4".

Logic : {First number × (Second number × 2)} = Third number.

(7, 4, 56) → 7 × (4 × 2) ⇒ 7 × 8 = 56

And,

(8, 3, 48)  → 8 × (3 × 2) ⇒ 8 × 6 = 48

Similarly,

(9, 10, 180) → 9 × (10 × 2) ⇒ 9 × 20 = 180

Hence, the correct answer is "Option 4".

According to english alphabet positional value 

The pattern followed here is :

Hence, the correct answer is "Option 2".

The sequence followed here according to dictionary order is 

1.Chock

2.Chocoholic

3. Chocolate

4.  Chocolatier  5. Chocolaty

Chocolate will come at Third position.

Hence, the correct answer is "Option 1".

The logic followed here is :

Considering both the position of the dice, 1 is common in figure 2 and figure 3.

Moving in the clockwise direction in both the dice from 1 the corresponding faces will be opposite each other.

Thus the number opposite to '3' is '5'.

Hence, the correct answer is "Option 3".

The pattern followed here is :

Hence, the correct answer is "Option 3".

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

• Triangles 

are increasing one by one alternatively in the series.

Hence, the correct answer is "Option 2".

Logic : (First number)² - 5 = Second number.

1) 14 – 193 → (14)² ⇒ 196 - 3 = 193

2) 15 – 220 → (15)2 ⇒ 225 - 5 = 220

3) 16 – 251 → (16)2 ⇒ 256 - 5 = 251

4) 17 – 284 → (17)2 ⇒ 289 - 5 = 284

Only option 1 doesn't follow the pattern.

Hence, the correct answer is "Option 1".

Logic : People who take benefit from that place.

School : Students → Students get benefit from School like students went to school for studies.

Similarly,

Hospital : Patients → Patients get benefit from hospital. like patients went to hospital for recovery.

Hence, the correct answer is "Option 3".

The least possible venn diagram of the given statement is :

Conclusion:

I. No P is Q.→ False(Some P are Q)

II. No R is P.→ False( All R are P as given in the statement)

Neither conclusion follows.

Hence, the correct answer is "Option 1".

The pattern followed here is :

‘TECHNOLOGY’ is written as ‘NHCETOLOGY’

And, ‘GENERATION’ is written as ‘RENEGATION’.

Similarly, for 'APOCALYPSE’

So, APOCALYPSE’ will be written as 'ACOPALYPSE'.

Hence, the correct answer is "Option 4".

According to BODMAS rule,

By interchanging signs + and –, 7 and 6 by one by one option

1) 4 × 7 + 6 – 3 ÷ 1 = 20

4 × 6 - 7 + 3 ÷ 1 = 20

4 × 6 - 7 + 3 = 20

24 - 7 + 3 = 20

27 - 7 = 20

20 = 20

2) 8 × 7 + 5 ÷ 1 – 6 = 17

8 × 6 - 5 ÷ 1 + 7 = 17

48 - 5 + 7 = 17 

50 ≠ 17

3) 7 – 6 × 3 + 4 ÷ 1 = 8

 6 + 7 × 3 - 4 ÷ 1 = 8

6 + 21 - 4 = 8

23 ≠ 8

4) 7 × 2 – 6 + 4 ÷ 2 = 13

6 × 2 + 7 - 4 ÷ 2 = 13

12 + 7 - 2 = 13

17 ≠ 13

Hence, the correct answer is "Option 1".

According to the English alphabets & their positional values:

The pattern followed in the given series is:

First alphabet is increased by +5.

Second alphabet is increased by +20.

Third alphabet is increased by +7.

Fourth alphabet is increased by +18.

So, UDEX will complete the series.

Hence, the correct answer is "Option 3".

The position of the letters according to the English alphabet series:

The code for the given words are shown below:

The code for the word ABROAD is written as DFORDH

Similarly, the word ACCESS is written as DGECVW

In the same way, AGENCY will be written as,

Hence, the correct answer is DKNEFC.

Logic : First number - Third number ⇒ (x)² = Second number

(9, 16, 5) → 9 - 5 ⇒ (4)² = 16

(7, 9, 4) → 7 - 4 ⇒ (3)2 = 9

Similarly,

(11, 36, 5) → 11 - 5 ⇒ (6)2 = 36

Hence, the correct answer is "Option 3".

Given Statements:

Some bottles are towels.

No towel is a pillow.

All bottle sare coats.

The least possible Venn diagram of the given statement is:

Conclusions:

I. Some coats are towels. → True (Because those coats that is bottle will also be towels).

II. No coat is a towel → False (Because those coats that is bottle will also be towels).

III. Some bottles are pillows.→ False (No definite relation given between them, so it can be possible only).

So, Only conclusion I follow.

Hence, the correct answer is "Option 4".

According to english alphabet positional value 

The pattern followed here is :

1) PRKI → 

2) JFOQ → 

3) UWFD → 

4) XZCA → 

JFOQ letter-cluster does not belong to that group.

Hence, the correct answer is "Option 2".

The correct answer is Parliamentary.

Key Points

• Parliamentary system
• The Constitution of India is a sovereign socialist secular democratic republic with a parliamentary system of government.
• India has a parliamentary system of government with federal and unitary components.
• It is a sovereign socialist, secular, and democratic republic.
• The Prime Minister serves as the head of the Council of Ministers, which provides advice to the President, who is the nation's constitutional leader.
• The Indian Constitution, which was approved by the Constituent Assembly on November 26, 1949, and took effect on January 26, 1950, governs the Country.

Additional Information

• ​The head of state in a parliamentary system is often a different person from the head of government. In contrast, in a presidential system, the executive branch does not receive its democratic legitimacy from the legislative and the head of state frequently doubles as the head of government.
• A parliamentary system, sometimes known as a parliamentarian democracy, is a form of democratic government in which the executive branch obtains the backing of the legislative, usually a parliament, to whom it is answerable.

The correct answer is 1637.

Key Points

• Ahmadnagar
• Ahmadnagar was finally annexed by the Mughals in 1637.
• The foundation for Ahmadnagar, the new capital, was built in 1494.
• Eventually during the period of Shah Jahan, Ahmednagar was merged into the Mughal empire in 1637 CE.
• The Nizam Shahi or Bahri dynasty ruled the Muslim late mediaeval Indian kingdom of Ahmadnagar, which was situated in the northwest Deccan between the sultanates of Gujarat and Bijapur.

Additional Information

• After defeating the Bahmani army headed by General Jahangir Khan on May 28, 1490, Malik Ahmed, the Bahmani governor of Junnar, declared his independence and established the authority of the Nizam Shahi dynasty over the sultanate of Ahmednagar.
• His initial headquarters were in the town of Junnar, which included a fort that was eventually renamed Shivneri.

The correct answer is Rice.

Key Points

• Rice
• Rice is the major Indian crops requires high temperature (above 25°C) and high humidity.
• For Kharif crops, high temperatures (over 25 °C) and high humidity are necessary.
• It needs annual precipitation of at least 100 cm.
• It flourishes with irrigation in places with little rainfall. India's northern and northern-eastern plains, coastal regions, and deltaic areas are all where rice is farmed.

Additional Information

• Rice is made from the seed of the grass Oryza sativa, often known as Asian rice or, less frequently, O. glaberrima (African rice).
• Although the phrase may sometimes be used to refer to wild or uncultivated variants of Oryza, wild rice is typically used to refer to species of the genera Zizania and Porteresia.

The correct answer is Distance.

Key Points

• Distance
• ​Distance - time graph shows the speed of an object.
• A distance-time graph can show the distance travelled while an object moves in a straight line.
• The gradient of the line in a distance-time graph is equal to the object's speed.
• The object is travelling more quickly the steeper the line and the larger the gradient.
• Distance is the sum of an object's movements, regardless of direction.
• Distance can be defined as the amount of space an object has covered, regardless of its starting or ending position.

Additional Information

• Velocity
• ​Velocity is the direction in which an object is moving and serves as a measure of the rate at which its position is changing as seen from a specific point of view and as measured by a specific unit of time (for example, 60 km/h northbound).
• Displacement
• A displacement is a vector in geometry and mechanics that have a length equal to the shortest distance between a point P's initial and final positions.
• It calculates the length and angle of the net motion, or total motion, in a straight line from the starting point to the destination of the point trajectory.
• Acceleration
• ​The rate at which an object's velocity with respect to time changes is referred to as acceleration in mechanics. It is a vector quantity to accelerate. (in that they have magnitude and direction).
• The direction of the net force acting on an object determines the direction of its acceleration.

The correct answer is Protein.

Key Points 

• Chlorella
• Chlorella (green algae) is known as the Space algae and is used in space research.
• It serves as a good source of food for humans in space as it contains a high level of iron, vitamins and amino acids.
• It grows easily in the presence of sunlight, minerals and water and using hydroponics.
• Protein
• Although protein is a necessary macronutrient, not all protein-rich foods are made equal, and you may not require as much as you might believe.
• Discover the fundamentals of protein and how to incorporate wholesome protein meals into your diet.
• The body is made up of protein, which may be found in almost every organ, tissue, and body part, including muscle, bone, skin, and hair.
• It contributes to the production of haemoglobin, which transports oxygen in the blood, and enzymes, which drive numerous chemical reactions. You are made up of at least 10,000 distinct proteins, which also keep you that way.

Additional Information

• Amino acids are the more than twenty fundamental building components used to make protein.
• Since we cannot store amino acids, our systems must either create them from scratch or alter existing ones.
• Nine amino acids, known as the essential amino acids, must be obtained from food: histidine, isoleucine, leucine, lysine, methionine, phenylalanine, threonine, tryptophan, and valine.

The correct answer is Nallathamby Kalaiselvi.

Key Points

• Nallathamby Kalaiselvi
• ​ Nallathamby Kalaiselvi has become the first woman director general of the Council of Scientific and Industrial Research.
• The "first woman director general of CSIR," Nallathamby Kalaiselvi, has been appointed (Council of Scientific and Industrial Research).
• She has been employed for two years as the senior electrochemical scientist. Important details Shekhar Mande will be replaced by Kalaiselvi when he retired in April 2022.

Additional Information

• For her work on lithium-ion batteries, Kalaiselvi is renowned. She presently serves as the director of Tamil Nadu's CSIR-Central Electrochemical Research Institute.
• She will serve as the Department of Scientific & Industrial Research's secretary in addition to the director general of CSIR.
• She was appointed as the first female scientist to lead the Central Electrochemical Research Institute in February 2019. (CSIR-CECRI).

The correct answer is Arunachal Pradesh

Key Points

• Arunachal Pradesh
• ​Northeastern India's Arunachal Pradesh, or "Land of Dawn-Lit Mountains", is a state. On February 20, 1987, it became a state after being created from the former North-East Frontier Agency (NEFA) region.
• It shares a southern border with the states of Assam and Nagaland. At the McMahon Line, it shares a disputed border with China in the north as well as international boundaries with Bhutan and Myanmar in the west and east, respectively.
• Arunachal Pradesh's state capital is Itanagar. The Seven Sister States of Northeast India's Arunachal Pradesh are the largest geographically.

Additional Information

• The population of Arunachal Pradesh is 1,382,611, and its area is 83,743 square kilometres (32,333 sq mi). It is a state with a variety of different ethnic groups, with a concentration of Monpa people in the west, Tani people in the centre, Mishmi and Tai people in the east, and Naga people in the southeast. In the state, there are about 100 minor tribes and 26 major tribes.
• The state's major tribes are the Adi, Nyshi, Singpho, Galo, Tagin, Apatani, and others. There are three sub-tribes of the Mishmi tribe: Idu-Mishmi, Digaru-Mishmi, and Miju-Mishmi.

The correct answer is 1905.

 Key Points

• ​Indian nationalist organisation
• The Paris Indian Society was an Indian nationalist organisation founded in 1905.
• ​Surendranath Banerjee and Ananda Mohan Bose established the Indian Association, the first openly nationalist group, in British India in 1876.
• Indian nationalism, a type of territorial nationalism that embraces all of India's residents despite their different racial, linguistic, and religious heritage, is an example.
• The roots of Indian nationalism can be found in pre-colonial India, but they were fully developed during the movement for Indian independence from British rule.

Additional Information

• With these coordinated anti-colonial coalitions and activities, Indian nationalism soon gained momentum in India.
• Following Indian Independence, Nehru and his successors kept up their nationalist rhetoric despite border conflicts with China and Pakistan.
• Indian nationalism peaked following the 1971 Indo-Pakistan War and the 1971 Bangladesh Liberation War. Although by the 1980s,

The correct answer is 15^th.

Key Points

• Droupadi Murmu 
• ​Droupadi Murmu was elected the 15^th President of India.
• Since July 25, 2022, Droupadi Murmu, also known as Puti Biranchi Tudu, has held the office of India's 15th president.
• She was born on June 20, 1958. After Pratibha Patil, she is the second woman to hold the position and the first member of a tribal community to do so.
• Along with being the first President born in Independent India, she is also the youngest person to hold the position.

Additional Information

• On June 20, 1958, Droupadi Murmu was born to a Santali family in the village of Uparbeda in the Rairangpur, Odisha, neighborhood of Baidaposi. Biranchi Narayan Tudu, her father, was a farmer.
• Her father and grandfather served as the local council's traditional leaders, or Sarpanch (Gram Panchayat).
• They gave her the name Puti Tudu.
• Her teacher changed her name from Durpadi to Droupadi, and she had previously gone by the names Dorpdi and Durpadi.

The correct answer is Kilowatt hour.

Key Points

• Kilowatt hour
• Kilowatt hour is the commercial unit of electric energy.
• kWh is a common unit of electrical energy (kilowatt-hour). It is defined as the amount of energy utilised for an hour by a 1kW appliance.
• The kilowatt-hour (abbreviated kWh) is a unit of energy that represents the energy used to generate one kilowatt of power for one hour.

Additional Information

• Although it is not a formal standard unit in any system, the kilowatt-hour is frequently employed in electrical applications. The unit of electrical energy is the kWh, which is the same for household and commercial use.
• Commercial units are charged at a separate rate than household units, which is higher. It is mostly used to reduce power usage in factories and other commercial settings.

The correct answer is Galileo Galilei.

Key Points

• Galileo Galilei
• ​Galileo di Vincenzo Bonaiuti de' Galilei, frequently referred to as a polymath, was an Italian astronomer, physicist, and engineer who lived from 15 February 1564 to 8 January 1642.
• He was born in Pisa, which at the time belonged to the Duchy of Florence.
• Galileo has been referred to as the "father" of modern science, the scientific method, observational astronomy, and modern physics.

Additional Information

• Galileo engaged on practical science and technology, detailing the characteristics of pendulums and "hydrostatic balances,"
• He developed the thermoscope, created several military compasses, and made use of the telescope to make studies of celestial objects for science.
• Telescopic confirmation of Venus' phases, observations of Jupiter's four largest satellites, observations of Saturn's rings, and analyses of lunar craters and sunspots are only a few of his contributions to observational astronomy.

The correct answer is Janmashtami.

Key Points

• Janmashtami
• ​The birthday of Lord Krishna famous is famous by the name of Janmashtami.
• Krishna Janmashtami, which translates to "Occasion of the birth of Krishna," is a Hindu festival that honours the birth of Krishna, the eighth manifestation of Vishnu.
• It is also known as Krishnashtami, Janmashtami, or Gokulashtami. Ashtami, the eighth tithi of the Krishna Paksha (dark fortnight) of Shraavana Masa (according to amanta tradition) or Bhadrapada Masa, is the day on which it is observed in accordance with the Hindu lunisolar calendar (according to the purnimanta tradition).
• This falls during the Gregorian calendar months of August or September.

Additional Information

• Particularly in the Hindu Vaishnavism tradition, it is a significant festival.
• The celebrations of Janmashtami include fasting (upavasa), a night vigil (Ratri Jagaran), devotional singing through the midnight when Krishna was born, dance-drama reenactments of Krishna's life as described in the Bhagavata Purana.

The correct answer is Expansion of Irrigation.

Key Points

• Green Revolution
• ​The Third Agricultural Revolution, commonly known as the Green Revolution, was a time of technological transfer activities that resulted in significantly higher crop yields and agricultural output.
• Following World War II, these agricultural improvements started in industrialised nations and spread until the late 1980s.
• Farmers started implementing new technologies in the late 1960s, including high-yielding cereal varieties, particularly dwarf wheat and rice, and the widespread use of chemical fertilisers.

Additional Information

• Moreover, mechanisation and other more modern cultivating techniques were adopted in agriculture. These adjustments were frequently made as part of a set of procedures designed to replace older agricultural technology.
• These more expensive technologies were frequently offered alongside loans that were subject to the developing countries adopting new policies, like privatising fertiliser production and distribution, which was previously carried out through public channels.

The correct answer is Copper.

Key Points

• Copper:
• ​A number of copper tools and weapons have also been discovered.
• The common tools included an axe, saws, chisels, knives, spearheads and arrowheads.
• Copper was brought mainly from Khetri in Rajasthan.

Additional Information

• The Indus Valley Civilization flourished between 2500 BC and 1750 BC.
• Harappa is a site in eastern Punjab province.
• Harappa was located on the banks of the river Ravi.
• Most Harappan sites are located in semi-arid lands, where irrigation was probably required for agriculture.
• Harappa was discovered by archaeologist Daya Ram Sahni.
• He supervised the excavation of the Indus valley site at Harappa in 1921 and 1922.
• Harappa site was again excavated by Madho Swaroop Vatsa in 1926 and Wheeler in 1946.
• The major findings of Daya Ram Sahni from the Harappan site are:
• Sandstone statues of Human anatomy
• Granaries
• Bullock carts.
• Clay figures of Mother Goddess.
• Copper made mirror.
• Harappa was excavated by Mohammed Rafique Mughal of the Archaeological Survey of Pakistan in 1966 after independence.
• The Harappan city was heavily damaged under British rule when bricks from the ruins were used as track ballast in the construction of the Lahore–Multan Railway.

The correct answer is President.

Key Points

• The President of India is the country's official head of state.​
• According to Article 53 (1) of the constitution, the President of India has the majority of the executive power.
• According to the aforementioned Article 53, the President has the entire constitutional authority and may wield it either directly or through officials who report to him (1).
• According to the Constitution, the President is the recognised leader of the Union's Executive.
• The President and the two Houses known as the Rajya Sabha and the People's House make up the Council of the Parliament of the Union, under Article 79 of the Indian Constitution (Lok Sabha).

Additional Information

• Council of Ministers headed by the Prime Minister
• The Union Council of Ministers, which serves as the top executive branch decision-making body, is the Government of India's main executive organ.
• It is chaired by the prime minister and includes the heads of all executive government ministries.
• Prime Minister
• The prime minister is the title given to the head of state in India. The prime minister and their chosen Council of Ministers have executive authority, despite the fact that the president of India is the body's recognized head of state.
• The prime minister is frequently the leader of the party or coalition that holds a majority in the Lok Sabha, which serves as the Republic of India's primary legislative body
• ​Chief Justice of the Supreme Court
• The Chief Justice is the head of the Supreme Court of India and the highest-ranking judge in the Indian judiciary.
• The Chief Justice is appointed by the President of India, after consultation with other senior judges of the Supreme Court.
• The Chief Justice typically serves until they reach the age of 65.

The correct answer is Kuchipudi.

Key Points

• Vempati Chinna Satyam, who lived from 15 October 1929 to 29 July 2012, was a legend in the Kuchipudi dancing style.
• He is credited with spreading the dancing style's popularity all over the world.
• He has received numerous honours, including the Raja Lakshmi Award from Madras and the Sangeet Peeth of Bombay.

Additional Information

• Kathak Dance
• One of the primary categories of ancient Indian classical dance, known as Kathak, is thought to have started with the wandering storytellers known as Kathakars in North India.
• Similar to the early Greek theatre, these wandering Kathakars used music, dance, and songs to convey legendary tales.
• The Bhakti movement, a tendency of theistic devotion that emerged in mediaeval Hinduism, is when the genre first came into being.
• Manipuri Dance
• Manipuri dance is one of India's most well-known classical dance genres and is particularly renowned for its Vaishnavist themes and spectacular performances of dance dramas centred on the love between Radha and Krishna known as "Ras Lila."
• Additional subjects in this kind of art related to Shaktism, Shaivism, and the sylvan gods known as Umang Lai during the Manipuri festival "Lai Haraoba."
• Although this dance style has its roots in the ancient Sanskrit Hindu literature "Natya Shastra," it is named after the north-eastern Indian state of Manipur, where it first appeared.
• Kathakali Dance
• An essential subgenre of Indian classical dance known as "Kathakali" is linked to this kind of storytelling.
• It is a dance drama from Kerala in southern India. Like other Indian traditional dance forms, "Kathakali" uses spectacular facial and hand movements along with music and vocal performance to effectively convey the story to the audience.

The correct answer is Mahatma Gandhi.

Key Points

• Mahatma Gandhi is associated with the maxim "do or die."
• During the Gandhiji-led Quit India Campaign, this catchphrase was created.
• On August 9, 1942, the Indian National Congress (INC), under the direction of Mahatma Gandhi, formally introduced the catchphrase.
• Its catchphrases were "Quit India" and "Bharat Chodo."

Additional Information

• Bal Gangadhar Tilak
• ​At Ratnagiri, Maharashtra, on July 23, 1856, Bal Gangadhar Tilak was born.
• Bal Gangadhar Tilak, a lawyer and freedom fighter, is also known by the name Lokmanya Tilak.
• "Swaraj is my birthright, and I shall have it," is the slogan.
• Sardar Vallabhbhai Patel
• First Deputy Prime Minister and Home Minister of India from 1947 to 1950, Vallabhbhai Jhaverbhai Patel (31 October 1875 – 15 December 1950), also known as Sardar Patel, was an Indian lawyer, prominent political leader, barrister, and statesman.
• He was a lawyer and a prominent member of the Indian National Congress who led the country's independence movement and oversaw its fusion into a single, sovereign state.
• Motilal Nehru
• Motilal Nehru, a member of the Indian National Congress, was an Indian lawyer, activist, and politician who lived from 6 May 1861 to 6 February 1931. Also, he presided over Congress twice (1919–1920 and 1928–1929).
• He was the ancestor of the Nehru-Gandhi dynasty and the father of India's first prime minister, Jawaharlal Nehru.

The correct answer is construction workers.

Key Points

• 'NIPUN,' a cutting-edge initiative for the skill development of construction workers, was introduced by the Minister of Housing & Urban Affairs and Petroleum & Natural Gas Hardeep Singh Puri (National Initiative for Promoting Upskilling of Nirman workers).
• The project is a brainchild of the Ministry of Housing & Urban Affairs (MoHUA) and falls under the umbrella of its flagship programme, the Deendayal Antyodaya Yojana-National Urban Livelihoods Mission (DAY-NULM), which aims to train over one lakh construction workers through new skill-upgrading and training programmes and offer them employment opportunities abroad.

Additional Information

• NIPUN scheme
• ​The NIPUN project is an effort of the Ministry of Housing and Urban Affairs (MoHUA) under its flagship scheme of the Deendayal Antyodaya Yojana-National Urban Livelihoods Mission (DAY-NULM) to train over 1 lakh construction workers through fresh skilling and upskilling programmes and to give them with work possibilities in other nations.
• Those present included Shri Sanjay Kumar, Secretary, of the Ministry of Housing and Urban Affairs, Shri Sunil Barthwal, Additional Secretary, of the Ministry of Labour and Employment, Shri Manoj Joshi, Secretary, of Skill Development and Entrepreneurship, and Shri Rajesh Aggarwal, Secretary, Ministry of Labour and Employment.

The correct answer is Hojagiri.

Key Points

• Hojagiri Folk Dance
• In the Indian state of Tripura, members of the Bru Reang tribe perform the hojagiri, a folk dance.
• Women and young girls execute it in groups of four to six, singing, dancing, and managing additional props like a bottle on the head and an earthen light in the hand while only the lower half of their bodies are moved.
• Only the bottom part of the body is moved as a team of four to six women and young girls do the dance while singing, balancing on an earthen pitcher, and managing various props like a bottle on the head and an earthen lamp in the hand. It is alluring because of its melodic tunes, which are accompanied by the khamb, a bamboo flute, and percussion.
• Usually after the third day of Dashera, the dance is presented during the Hojagiri festivals or Laxmi Puja, which are held on the full moon night after Durga Puja. On this day, the goddess Mailuma (Laxmi) is honoured.

Additional Information 

• Dandiya
• The socio-religious folk dance known as Raas originated in the Indian state of Gujarat and is frequently performed during the Navaratri festival.
• Moreover, the dance is done in Rajasthan's Marwar district. Sanskrit is used in the derivation of Dandiya-Raas.
• There are various variations of dandiya-raas, including the collegiate competitive version.
• Currently, the dance form exists in both a traditional and competitive manner.
• Bhavai
• Bhavai, sometimes referred to as Vesha or Swang, is a well-liked Gujarati folk theatre style.
• It is also Folk dance of Rajasthan.
• From the Sanskrit term Bhava, which means expression or emotion, comes the word Bhavai. It is linked to the Hindu deity Amba as well. It could also be regarded as a type of art honouring Amba, the mother of the Universe, since Bhav and Aai both mean "universe" and "mother," respectively.
• Bhavai, which literally means "get up," is sometimes referred to as Vesha or Swan.
• ​Garba
• Garba is a style of Gujarati dance that has its roots in the Indian state of Gujarat.
• The word "Garbha" in Sanskrit is the source of the name. Many traditional garbas are done in the vicinity of a Shakti statue or portrait, as well as a centrally lighted lamp. It is typically performed during the nine-day Navaratri celebration in India.
• The object of worship is either the torch (the Garba Deep) or a statue of the Goddess Durga (also known as Amba), which is set in the centre of the concentric rings.

The correct answer is Christiaan Huygens.

Key Points

• Humans have been fascinated by the planet Saturn for generations.
• Christiaan Huygens, a Dutch astronomer, was the first to correctly characterise Saturn's rings as a disc encircling the planet in 1655.
• Galileo Galilei, an Italian astronomer, had seen them when he first pointed his telescope towards Saturn in 1610, but his instrument was not strong enough to determine their real nature.
• Moreover, Titan, Saturn's largest moon, was found by Huygens.
• Four of Saturn's moons were found by Italian astronomer Giovanni Cassini, along with divisions inside the planet's rings.

Additional Information

• Hideki Yukawa
• ​In Kyoto, where he was raised alongside two older brothers, two older sisters, and two younger brothers, he was raised as Hideki Ogawa, his birth name.
• He eventually read Lao Tzu and Chuang Tzu after reading the Confucian Doctrine of the Mean. Due to the fact that he "was not as outstanding a student as his older brothers," his father briefly thought about sending him to technical college rather than university.
• Galileo Galilei
• ​Galileo di Vincenzo Bonaiuti de' Galilei, frequently referred to as a polymath, was an Italian astronomer, physicist, and engineer who lived from 15 February 1564 to 8 January 1642. Formally known as Galileo.
• He was born in Pisa, which at the time belonged to the Duchy of Florence.
• Giovanni Cassini
• ​Giovanni Domenico Cassini, sometimes known as Jean-Dominique Cassini, was an Italian (naturalized French) mathematician, astronomer, and engineer who lived from 8 June 1625 to 14 September 1712.
• Cassini was born at Perinaldo, a town close to Imperia, in the Savoyard state's County of Nice at the time.

The correct answer is Autumn.

Key Points

• Autumn's retreating/post-monsoon season and the transitional months of October and November coincide with the sun's passage southward. The low-pressure trough across the northern plains, known as the monsoon trough, weakens.
• High-pressure system gradually replaces this.
• The southwest monsoon winds begin to wane and ultimately wither away.
• The monsoon leaves the Northern Plains at the start of October.
• Mid-November through mid-March is the period of time when it is cold.
• Mid-March through May is the hot weather season.
• June through September is the southwest monsoon season.
• Fall monsoons, from mid-October through mid-November.

Additional Information

• In India, there are four distinct seasons:
• Cold Weather Season (Winter) from December to February.
• Hot Weather Season (Summer) from March to May.
• South-West Monsoon Season (Rainy) from June to September.
• Season of Retreating Monsoon (Autumn) from October and November.

The correct answer is Singapore.

Key Points

• The inaugural winter version took place in Innsbruck, Austria from 13 to 22 January 2012, while the first summer version took place in Singapore from 14 to 26 August 2010.
• The International Olympic Committee (IOC) organises the Youth Olympic Games (YOG), an international multisport competition for competitors between the ages of 15 and 18.
• Similar to the present Olympic Games pattern, the games are held every four years and alternate between summer and winter competitions.
• However, the Olympic Winter Games are held in leap years rather than the summer competitions.

Additional Information

• Youth Olympic Games
• Johann Rosenzopf, an Austrian industrial manager, came up with the idea for the Youth Olympic Games in 1998.
• This was in reaction to growing worries about juvenile obesity and a decline in kid engagement in sports, particularly among those in affluent countries, on a global scale.
• It was also acknowledged that a youth-focused Olympics would encourage participation in the main event.
• The IOC's response of conducting a strictly sporting event was unfavourable despite these arguments in favour of having an Olympic event for young people.

The correct answer is 28 inches.

Key Points

• The three vertical pillars that support the bails and create the wicket in cricket are known as the stumps.
• A batsman might be dismissed by getting stumped or by being stumped oneself.
• Except for the bail grooves, the tops of the stumps must be dome-shaped and 28 inches/71.12 cm above the playing surface.
• Apart from the domed top, a stump's uppermost component must be cylindrical with a circular section with a diameter of at least 1.38 in (3.50 cm) and no more than 1.5 in (3.81 cm).

Additional Information

Stumps

• • Three vertical posts serve as the stumps and hold up two bails. At each end of the pitch, a wicket is created by the combination of the stumps and bails, which are typically constructed of wood, most frequently ash.
• Each stump is identified with a unique name:
• Off stump is the stump that is on the other side of the wicket from the batsman.
• The middle of the three stumps is referred to as the middle stump.
• Leg stump is the stump that is on the same side as the batsman's legs as the wicket.

The correct answer is the group takes care of the debt recovery.

Key Points

• The debt recovery is handled through the self-help organisation.
• In the area of employment and income-generating activities, they work to increase the functional ability of the underprivileged and marginalised groups in society.
• They provide collateral-free loans to groups of people who typically struggle to obtain loans from banks.
• Also, they use group leadership and conversations to resolve disputes.
• They are a crucial supplier of microfinance services to the underprivileged.
• They serve as a conduit for official banking services to the underprivileged, particularly in rural areas.
• Also, they urge the impoverished to develop a saving habit.

Additional Information

• Self-Help Group 
• The Self-Employed Women's Association was founded in 1970, marking the beginning of SHG in India (SEWA).
• The SHG Bank Linkage Programme of NABARD, which began in 1992, has expanded to become the largest microfinance programme in the world.
• Since 1993, SHGs have been able to open savings accounts with the RBI and NABARD. The SHG-Bank link programme was made possible thanks to this initiative, which also strengthened the SHG movement.
• The Swarn Jayanti Gram Swarozgar Yojana (SGSY), launched by the Indian government in 1999, aims to encourage rural SHG development and skill-based self-employment.
• The programme was expanded into a statewide movement in 2011, leading to the creation of the National Rural Livelihoods Mission (NRLM), the greatest poverty reduction initiative in the history of the planet.

The correct answer is Bharatanatyam.

Key Points

• An advocate for animal rights, as well as a Bharatanatyam dancer and choreographer, Rukmini Devi Arundale, was an Indian theosophist.
• She was the first woman ever nominated to the Rajya Sabha, which is the upper chamber of parliament for India.
• She was the most renowned proponent of bringing back Bharatanatyam in its original "Sadhir" style, which was beloved by Devadasi temple dancers, and she also worked to revive traditional Indian arts and crafts.
• One of India Today's "100 Persons Who Shaped India" is Rukmini Devi.
• She was awarded the Padma Bhushan in 1956, and the Sangeet Natak Akademi Fellowship in 1967.

Additional Information

• Bharatanatyam
• ​It is an important Hindu style of Indian classical dance.
• The Natya Shastra by Bharata Muni and the Abhinaya Darpana (Mirror of Gesture) by Nandikeshvara are considered to be the first sources of Bharatanatyam (an Indian classical dance form).
• The dance style is also briefly discussed in Manasollasa, a Kannada work by Someshwara III.
• It has flourished in southern India's temples and courts since antiquity.
• It is one of eight well-known types of classical Indian dance that are influenced by South Indian religions, primarily Shaivism, Vaishnavism, and Shaktism, which are referred to as Hinduism.

Calculations:

According to question,

 $\sec θ - 2\cos θ = \frac{7}{2}$

⇒  $\sec θ - 2/sec θ = \frac{7}{2}$

⇒  sec²θ - 2 = 7secθ /2

⇒  2sec²θ - 7 secθ - 4 = 0

⇒  2sec²θ +  ( - 8 + 1) secθ - 4 = 0

⇒  2secθ(secθ - 4) + 1(secθ - 4) = 0

⇒  (2secθ + 1)(secθ - 4) = 0

⇒  secθ = -1/2, 4

θ is positive acute angle so, secθ = 4

Hence, The Required value is 4.

Calculations:

Let a and b be two numbers.

We know (H.C.F) × (L.C.M) = Product of two numbers

Putting H.C.F and L.C.M. as 3 and 54 respectively we get a × b = 3 × 54

Also, a + b = 18

So, we have 

1/a + 1/b

⇒ (a + b)/ab

⇒ 18/(3 × 54)

  =   1/9

Hence, The Required value is 1/9.

Shortcut Trick

Ratio of English : Science = 2 : 1 (as English is twice Science)

Ratio of English : Mathematics = 2 : 3 (given)

Combined Ratio (Science : English : Mathematics) = 1 : 2 : 3

Total units = 1 + 2 + 3 = 6 units → 126 marks

1 unit = 126 ÷ 6 = 21 marks

English marks = 2 units = 2 × 21 = 42

∴ The correct answer is 42 marks.

Alternate Method

Given: Total marks = 126, English = 2 × Science, English : Mathematics = 2 : 3

Let English marks be 2x.

⇒ Science marks = x (Since English = 2 × Science)

⇒ Mathematics marks = 3x (Since English : Maths = 2 : 3)

⇒ Sum = x + 2x + 3x = 126

⇒ 6x = 126

⇒ x = 126 ÷ 6 = 21

⇒ English marks = 2x = 2 × 21 = 42

∴ The correct answer is 42 marks.

Additional Information

Ratio Balancing

When combining ratios like A:B and B:C, make the common term (B) equal by multiplying the ratios with appropriate constants.

Unitary Method

Total Value ÷ Total Number of Units gives the value of a single unit, which can then be multiplied to find specific parts.

Compound Ratio

The compound ratio of (a : b) and (c : d) is (ac : bd). Useful when comparing multiple linked quantities.

Concept Used:

Diagonal of square = √2 a

Calculations:

Diagonal of square = √2 a

So, √2 a = 8√2

⇒ a = 8

⇒  a² = 64 cm²

So, the area if another square = 3(64) = 192

So, it's diagonal= √2 a = √2 × √192 = 8√6 cm

Hence, The Required value is 8√6 cm

Calculations:

 ${\rm x} + \frac{1}{{\rm x}} = 2$, 

⇒x² + 1 = 2x

⇒x² - 2x + 1 = 0

⇒(x - 1)² = 0

⇒x = 1

so,  ${{\rm x}^{57}} + \frac{1}{{{{\rm x}^{57}}}}$

= (1)⁵⁷ + 1/(1)⁵⁷

= 1 + 1 = 2

Hence, The Required value is 2.

Given:

sec 3θ = cosec (4θ - 15°)

Calculations:

According to question,

sec 3θ = cosec (4θ - 15)

⇒ cosec (90° - 3θ) = cosec (4θ – 15°)

⇒ 90° - 3θ = 4θ - 15°

⇒ 7θ = 90° + 15°

⇒ θ = 105°/7 = 15°

so, tan3θ

= tan(3 × 15°)

= tan45°

= 1

Hence, The Required value is 1.

Given:

Three-fourth of a consignment was sold at a profit of 8% and the rest at a loss of 4%.

Overall profit of Rs. 600.

Calculations:

Let total consignment be 4 units.

So, total profit

⇒ (3 × 8% - 1 × 4%)/4

⇒ 20%/4

⇒ 5%

According to question,

5% of Total = 600

So, 100% = Rs.12000

Hence, The Required value is Rs.12,000.

Concept used:

Explanation:

The largest chord in a circle is the diameter. This meets the circle at two points. The points of tangency lie on the two points where the diameter meets the circle.

∴ A circle can have 2 parallel tangents at most.

So, only one parallel tangent is possible for a given tangent.

Important points:

This diameter meets the circle in exactly two points. So there is no more space for a third or more parallel tangents

Calculations:

According to question,

(100% - 85%) of (100% - 20%) of total = 120

15% of 80% of total = 120

⇒0.15 × 0.8 × total = 120

⇒ 0.12 total = 120

⇒ total = 120/0.12 = 1000

Hence, The Required value is Rs.1,000.

Given:

mxm  - nxn =0

Calculation

mxm  - nxn =0

mxm  = nxn 

$\frac{m}{n} = \frac{x^n}{x^m}$

so, m = xn and n = xm

$\frac{1}{{{x^m} + {x^n}}} + \frac{1}{{{x^m} - {x^n}}}$

Substitute the values

$\frac{1}{{{n} + {m}}} + \frac{1}{{{n} - {m}}}$

⇒ $\frac{2n}{n^2 - m^2}$

Multiply and Divide the expression by xn

⇒ $\frac{2n}{n^2 - m^2}\times \frac{x^n}{x^n}$

Now substitute m = xⁿ in the numerator 

⇒ $\frac{2mn}{x^n(n^2 - m^2)}$

∴ Option 4 is the correct answer.

Shortcut Trick

Perform direct division of the number 246837 by 13.

246837 ÷ 13 gives a remainder of 6.

The remainder is the value that must be subtracted to make the number exactly divisible.

∴ The correct answer is 6.

Alternate Method

Given: Number = 246837, Divisor = 13.

Formula Used: Dividend = (Divisor × Quotient) + Remainder

⇒ 246837 ÷ 13

⇒ 24 ÷ 13: Quotient 1, Remainder 11 (Next digit 6 → 116)

⇒ 116 ÷ 13: 13 × 8 = 104, Remainder 12 (Next digit 8 → 128)

⇒ 128 ÷ 13: 13 × 9 = 117, Remainder 11 (Next digit 3 → 113)

⇒ 113 ÷ 13: 13 × 8 = 104, Remainder 9 (Next digit 7 → 97)

⇒ 97 ÷ 13: 13 × 7 = 91, Remainder 6

⇒ Final Remainder = 6

∴ The correct answer is 6.

Additional Information

Divisibility Rules

To make a number divisible by n, subtract the remainder obtained when the number is divided by n.

Addition for Divisibility

To find what should be added to a number, subtract the remainder from the divisor (Divisor − Remainder).

Divisibility by 13 shortcut

Multiply the last digit by 4 and add it to the remaining number. Repeat until a 2-digit number is reached to check for 13's multiples.

Given:

PQ = PR = 2a

Calculations:

⇒ PX = √(PQ² - (QR/2)²)

⇒√(4a² - a²/4)

⇒ √15a/2

Hence, The Required value of PX = √15a/2.

Given:

Calculations:

According to the question,

100% = 360°

1% = 3.6°

The value of B = 15%

Then,

⇒ 15%

⇒ 1% × 15

⇒ 3.6 × 15

⇒ 54°

⇒ Hence, The Required value is 54°.

Given:

5x2 + 7x + 5 = 0

Calculations:

According to question,

5x2 + 7x + 5 = 0

⇒5x² + 5 = - 7x

⇒5x(x + 1/x) = - 7x

⇒x + 1/x = -7/5

so, x³ + 1/x³

= (-7/5)³ - 3 × (-7/5)

= - 343/125 + 21/5

= (-343 + 525 )/125

= 182/125

Hence, The Required value is 182/125.

Formula used:-

Simple Interest = principal × rate × time /100

Calculation:-

Let the rate be r%

From the question,

Interest from B = (23000 × 3 × r)/100

Interest from C = (19000 × 4 × r)/100

ATQ,

⇒ 3625 = (23000 × 3 × r)/100 + (19000 × 4 × r)/100

⇒ r = 362500/(69000 + 76000)

⇒ r = 2.5%

∴ the rate is 2.5%.

Given:

Radius of hemisphere = 6.3 cm

Formula used :

Volume of hemisphere = $\frac{1} {2} \times\frac{4} {3} \pi r^3$

Calculation:

According to the formula

⇒ Volume of hemisphere = $\frac{1} {2} \times \frac{4} {3} \times \frac{22} {7} \times 6.3\times 6.3 \times 6.3$

⇒ Volume of hemisphere = 523.90 cm³

⇒ Hence, The Volume of the hemisphere is 523.90 cm³

Given:

ΔABC ~ ΔDEF

AB = 9.1 cm

DE = 6.5 cm 

Perimeter of ΔDEF = 25 cm

Concept used:

The ratio of corresponding side of triangle is equal to the ration of their perimeter

Calculation:

According to the concept

⇒ $\frac{AB} {DE} = \frac{\triangle ABC} {\triangle DEF}$

⇒ $\frac{9.1 } {6.5 } = \frac{\triangle ABC} {25}$

⇒ ΔABC = 35 cm

⇒ Hence, The perimeter of the ΔDEF is 35 cm

Given:

1 man and 4 women can complete a work in 65/4

3 man and 4 women can complete a work in 13 / 2 

Formula used :

M₁D₁ = M₂D₂

Total work = Efficiency × Time

Calculation:

As they are doing same work 

So, above formula is used

⇒ M₁D₂ =M₂D₂

⇒ (M + 4W) × 65/4 = (3M + 4W) × 13 / 2

⇒ (M + 4W) × 5/2 = (3M + 4W)

⇒ 5M + 20W = 6M + 8W

⇒ M = 12W

⇒ Efficiency of M = 12

⇒ Efficiency of W = 1

⇒ Total Efficiency = (12 + 4 × 1) = 12 + 4 = 16

⇒ Total work = 16 × 65/4 = 260

Time taken by 13 women

⇒ Efficiency of 13 women = 13 × 1 = 13

⇒ Time taken =  260/13 = 20 days

⇒ Hence, The time taken to complete the work by 13 women is 20 days

Given:

Number of calculator sold by S5 = 80

Number of calculator sold by S1 = 40

Formula used:

Percentage = $\frac{\text{Sold by S}5} {\text{sold by S1}} \times 100$

Calculation:

According to the formula, 

⇒ Percentage = $\frac{80} {40} \times 100$ = 200%

⇒ Hence, The percentage is 200%

Formula used:

Cos 2A = 2Cos² A  - 1

Calculation:

According to the formula, 

⇒ Cos 2A = 2Cos² A - 1

⇒ Let A = 15

⇒ Cos 30 = 2Cos² 15 - 1

⇒ $\frac{\sqrt3} {2} +1 = 2cos^2 15$

⇒ $2cos^2 15 = \frac{\sqrt3+2} {2}$

⇒ $cos^2 15 = \frac{\sqrt3+2} {4}$

⇒ Hence, Option 2 is correct

Given:

Speed of train A is 90 km/h moving from H to K at 6:30 pm

Speed of train B is 72 km/h moving from K to H at 7:30 pm

Both train meet at 11:30 pm

Formula used:

Distance = Speed × Time

Calculations:

Total time travel by train A is from 6:30 pm to 11:30 pm

⇒ Total time = 5 h

⇒ Distance travel by Train A = Speed × Time = 90 × 5 = 450 km

Total time travel by train B is from 7:30 pm to 11:30 pm

⇒ Total time = 4 h

⇒ Distance travel by Train B = Speed × Time = 72 × 4 = 288 km

Ratio of Distance travel by train A and train B

⇒ Train A : Train B = 450 : 288 = 25 : 16

⇒ Hence, The ratio of distance traveled by train A and train B is 25 : 16

Given:

There are 4 members

Each member has to cover 5 km one after another

Formula used:

Average Speed = Total distance / Total time

Calculations:

⇒ Total distance covered by the 4 members = 5 km × 4 = 20 km

⇒ Total time taken = 30 min = 1 / 2 hour

⇒ Average speed = $\frac{\text{Total distance}}{\text{Total time}}$

⇒ Average speed = $\frac{20}{\frac{1}{2}}$

⇒ Average speed = 20 × 2 = 40 km / h

⇒ Hence, The average speed of 4 members is 40 km/ h

Given:

Import in 2016-17 = 1200

Import in 2015-16 = 738

Formula Used:

Percentage = $\frac{Increament}{Previous}\times100$

Calculations:

According to the formula,

⇒ Increment = 1200 - 738 = 462

⇒ Percentage = $\frac{462}{738}\times100$ = 62.60%

⇒ Hence, The percentage increased is 62.60%

Given:

MP of the goods = Rs. 55000

Discount = 15%

Formula Used:

SP = MP × (100 - Discount%)%

Calculations:

According to the formula,

⇒ MP = Rs. 55000

⇒ SP = 55000 × (100 - 15)%

⇒ SP = 55000 × 85%

⇒ SP = 55000 × 85/100

⇒ SP = 550 × 85

⇒ SP = Rs. 46750

⇒ Hence, Ankith will pay Rs. 46750 to Rohan

 Shortcut Trick

Discount of 15% means MP = 20 and SP = 17

Now, 20 units → 55000 then,

Then,17 unit → 55000/20 × 17 = Rs.46750

Formula Used:

Average = $\frac{\text{Sum of the observation}}{\text{Total observation}}$

Calculations:

The sum of all 7 article marked price is

⇒ Sum = 1100 + 700 + 900 + 600 + 400 + 500 + 1000 = 5200

According to the formula,

⇒ Average = $\frac{\text{Sum of the observation}}{\text{Total observation}}$

⇒ Average = $\frac{\text{5200}}{\text{7}}$

⇒ Average = 742.85

⇒ Hence, The average price of all 7 articles marked price is 742.85

The correct answer is "deciding in".

Key Points

• The word "deciding in" in choice 4 contains a grammar mistake.
• After "deciding," the proper preposition to use is "on" or "about," not "in."
• Example:
• I'm having trouble deciding on what to order for dinner.
• She's having a hard time deciding about which college to attend.
• We need to decide on a date for the meeting.
• In each of these instances, the word "deciding" is followed by the words "on" or "about," designating the subject or choice that the individual is considering. It would be incorrect to use "in" after "deciding" since it would confuse the reader.
• Thus, the correct answer is Option 4.

Correct Sentence: I am having trouble deciding on a gift for them.

Additional Information

• Let's know more about prepositions:
• Prepositions are words or phrases that are used in front of a noun, pronoun, or noun phrase to indicate time, place, location, direction, or spatial relationships, or to present an object.
• A preposition is typically placed before the word or phrase it refers to, or the preposition's object.
• The Preposition should be followed by an object form of the Pronoun.
• Examples: "in," "at," "on," "of," and "to."

The correct answer is "Islet". (बहुत छोटा द्वीप, उपद्वीप)

Key Points

• Let us understand the implication of the correct word:
• Islet: a small island.
• Example: All of the offshore islets are stony and desolate.
• Example: The core group's numerous islets are extremely fertile.
• It is apparent from the above explanation that "Islet" is an appropriate one-word substitute for "A small island".
• Therefore, the correct answer is: Islet

Additional Information

• Let's understand the meaning of the remaining options:

The correct answer is "The newly introduced car was sold to the highest bidder by the company".

Key Points

• As we can see the given sentence is in the active voice format of the simple past tense as the second form of the verb (sold) is applied in the sentence, so we have to change the active voice as per the same tense rules.
• Active voice: Subject + V2 + object
• Passive voice: Object + was/were + V3 + by + subject
• Example:
• Active voice: Maya cleaned the dishes.
• Passive voice: The dishes were cleaned by Maya.
• By following the above-mentioned rules, we have to change the active to passive by applying the third form of the verb (was sold) in the sentence.
  

Therefore, the correct answer is: The newly introduced car was sold to the highest bidder by the company.

Additional Information

• Let us take a look at the rules of simple past active passive voice:
• Active voice: Subject + V2 + object
• Passive voice: Object + was/were + V3 + by + subject
• Active voice: Subject + did + not + v1 + object
• Passive voice: Object + was/were + not + V3 + by Subject
• Active voice: Did + subject + V1 + object +?
• Passive voice: Was/were + Object + V3 + by subject +?