SSC CGL 2022 Tier-I Official Paper (Held On : 03 Dec 2022 Shift 3) (Previous Year Paper)

The pattern followed here is:

Here, interchange the mathematical signs to make the equation correct.

Given:- 20 ÷ 4 × 8 + 16 - 15 = 11

Option 1) -, ÷

After interchanging the sign we get the:

⇒ 20 - 4 × 8 + 16 ÷ 15 = 11

⇒ 20 - 4 × 8 + 1.066 = 11

⇒ 20 - 32 + 1.066 = 11

⇒ 21.066 - 32 = 11

⇒ - 10.934 ≠ 11

⇒ LHS ≠ RHS

Option 2) +, -

After interchanging the sign we get the:

⇒ 20 ÷ 4 × 8 - 16 + 15 = 11

⇒ 5 × 8 - 16 + 15 = 11

⇒ 40 - 16 + 15 = 11

⇒ 55 - 16 = 11

⇒ 39 ≠ 11

⇒ LHS ≠ RHS

Option 3) ×, ÷

After interchanging the sign we get the:

⇒ 20 × 4 ÷ 8 + 16 - 15 = 11

⇒ 20 × 0.5 + 16 -15 = 11

⇒ 10 + 16 - 15 = 11

⇒ 26 - 15 = 11

⇒ 11 = 11

⇒ LHS = RHS

Option 4) +, ×

After interchanging the sign we get the:

⇒ 20 ÷ 4 + 8 × 16 - 15 = 11

⇒ 5 + 8 × 16 - 15 = 11

⇒ 5 + 128 - 15 = 11

⇒ 133 - 15 = 11

⇒ 118 ≠ 11

⇒ LHS ≠ RHS

Hence, the correct answer is "Option 3".

By using the symbols in the table given below, we can draw the following family tree:

Given: 

‘A + B’ means ‘A is the Father of B’.

‘A * B’ means ‘A is the Sister of B’.

‘A % B’ means ‘A is the Daughter of B’.

'A $ B' means 'A is the son of B'

 

Given:- L % M + N * O $ P

Clearly, L is the daughter of P.

Hence, the correct answer is "Daughter".

The pattern followed here is:

Logic: Addition of ${1\over 4}$ in every number.

Given: ${1\over 2}, {3\over 4}, ?, {5\over4}$

⇒ ${1 \over 2} + {1\over4} = {3 \over4}$

⇒ ${3 \over 4} + {1\over4} = 1$

⇒ $1 + {1 \over 4} = {5\over4}$

Hence, the correct answer is "1".

The pattern followed here is

Logic: (FIrst number × 8) + (8)² = Second number.

1. 25 : 264

⇒ (25 × 8) + (8)²

⇒ 200 + 64 = 264

And,

2. 49 : 456

⇒ (49 × 8) + (8)²

⇒ 392 + 64 = 456

Similarly,

3. 31 : ?

⇒ (31 × 8) + (8)²

⇒ 248 + 64 = 312

Hence, the correct answer is "312".

The position of the English alphabet series is given below:

Logic: Addition of the place value of letters = Code

'ESCAPE' is written as '49' 

And,

'PRISON' is written as '91'

Similarly,

'FREEDOM' be written as '?'

Hence, the correct answer is "66".

The position of the English alphabet series is given below:

Hence, the correct answer is "K"

The pattern followed here is:

Let's arrange all the words according to the English dictionary.

4. Pardon 1. Pardoner 3. Parental 5. Parenthesis 2. Parenthetical

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

The pattern followed here is:

Logic: (First number × 8) + 6 = Second number.

Let's check them one by one.

1. 11 : 94

⇒ (11 × 8) + 6

⇒ 88 + 6 = 94

And,

2. 18 : 150

⇒ (18 × 8) + 6

⇒ 144 + 6 = 150

Similarly,

3. 23 : ?

⇒ (23 × 8) + 6

⇒ 184 + 6 = 190

Hence, the correct answer is "190".

The position of the English alphabet series is given below:

Let's check each option one by one.

Option 1) IGMJ

Option 2) SPVT

Option 3) DBHE

Option 4) NLRO

So, SVPT is an odd one out.

Hence, the correct answer is "SVPT".

The pattern followed here is:-

Let's check each option one by one:

Option 1) -, +, ×, =

After replacing the * sign with a mathematical sign we get:

⇒ 25 - 4 + 6 × 2 = 17

⇒ 25 - 4 + 12 = 17

⇒ 37 - 4 = 17

⇒ 33 ≠ 17

⇒ LHS ≠ RHS

Option 2) +, -, =, +

After replacing the * sign with a mathematical sign we get:

⇒ 25 + 4 - 6 = 2 + 17

⇒ 29 - 6 = 2 + 17

⇒ 23 ≠ 19

⇒ LHS ≠

⇒ LHS ≠ RHS

Option 3) +, -, ÷, =

After replacing the * sign with a mathematical sign we get:

⇒ 25 + 4 - 6 ÷  2 = 17

⇒ 25 + 4 - 3 = 17

⇒ 29 - 3 = 17

⇒ 26 ≠ 17

⇒ LHS ≠ RHS

Option 4) +, -, ×, =

After replacing the * sign with a mathematical sign we get:

⇒ 25 + 4 - 6 × 2 = 17

⇒ 25 + 4 - 12 = 17

⇒ 29 - 12 = 17

⇒ 17 = 17

⇒ LHS = RHS

Hence, the correct answer is "Option 4".

The pattern followed here is:

Logic: (Second number ÷ Third number) = First number.

Let's check them one by one.

1. (0.20, 5, 25)

⇒ 5 ÷ 25 = 0.20 = 0.20 

And,

2. (0.083, 12, 144)

⇒ 12 ÷ 144 = 0.083 = 0.083 

Similarly,

4. (0.063, 16, 256)

⇒ 16 ÷ 256 = 0.0625 ≈ 0.063 

Hence, the correct answer is "Option 4".

The pattern followed here is:

The least possible Venn diagram is shown below according to the given information.

statements :

some pens are books.

All books are compasses.

Some compasses are pins.

<br>

Conclusions :

I. Some compasses are pens → Follow [As some pens are books and All books are compasses. So some compasses are pens is definitely followed.]

II. All compasses are pens →Does not follow  [As some pens are books and All books are compasses. All compasses are pens is possible but not definitely followed.]

III. Some pins are books →Does not follow  [ As no definite relation given between pins and books, so it can be possible only]

IV. Some compasses are books → Follow [As some pens are books and All books are compasses. Some compasses are books is definitely followed.]

So, Only conclusions I and IV follow.

Hence, the correct answer is "Option 3".

The pattern followed here is:

1. Double line side is rotated 45º clockwise direction in every next figure.

2. In every next figure one extra line is added.

Hence, the correct answer is "Option 4".

The pattern followed here is:

The unfolding pattern of the paper is shown below step by step.

 

Hence, the correct answer is "Option 1".

The pattern followed here is:⇒ 2

Logic: First number × 10 = Second number.

Let's check each option one by one.

Option 1) 6 - 60

⇒ 6 × 10 = 60 = 60 (Correct)

Option 2) 2 - 18

⇒ 2 × 10 = 20 ≠ 18 (Incorrect)

Option 3) 4 - 40

⇒4 × 10 = 40 = 40 (Correct)

Option 4) 8 - 80

⇒ 8 × 10 = 80 = 80 (Correct)

So, '2 - 18' does not follow the correct pattern. 

Hence, the correct answer is "2 - 18".

The pattern followed here is:

1. Three elements are moving in clockwise directions.

2. This movement is shifted in a clockwise direction.

Hence, the correct answer is "Option 2".

The pattern followed here is:

Given:

Hence,

The correct answer is "Option 4".

The correct mirror image of the given figure when the mirror is held on the right side.

Detailed Explanation:

• The correct mirror image of the given figure is "

" the third alphabet of the given image is 'A' and the alphabet given in option 3 and 4 is 'N' so both Option 3 and 4 is eliminated.

• The correct mirror image of the given figure is "

" the last letter of the given image is 'L' and the alphabet given in option 1 is 'I' so Option 1 is eliminated.

 

Hence, the correct answer is "Option 2".

Additional Information

1. In the mirror image left side and right side changed vice-versa where the top and bottom remain the same.

2. In a real given mirror image the farthest number or alphabet appears closest in the mirror image.

By using the symbols in the table given below, we can draw the following family tree:

Given: 

‘P ÷ Q’ means ‘P is the Mother of Q’.

‘P × Q’ means ‘A is the Father of Q’.

‘P - Q’ means ‘P is the Sister of Q’.

Find:- expression shows that A is the father of C?

Let's check each option one by one.

Option 1) B × A - C

Here, A is the sister of C. (Incorrect)

Option 2) A × B - C

Here, A is the father of C. (Correct)

Option 3) A × B ÷ C

Here, A is the maternal grandfather of C. (Incorrect)

Option 4) A - B  × C

Here, A is the aunt of C. (Incorrect)

Hence, the correct answer is "Option 2".

The pattern followed here is:

The least possible Venn diagram is shown below according to the given information.

Statements :

I. Some S are C.

II. Some C are D.

Conclusions :

I. All D are S → Does not follow [As some S are C and some C are D. So All D are S is possible but not definitely followed.]

II. some C are S → Follow [ As some S are C and some C are D. So some C are S is definitely followed.]

III. some D are C →Follow [ As some S are C and some C are D. So some D are C is definitely followed.]

So, Both II and II follows.

Hence, the correct answer is "Option 2".

The logic followed here is

DOVE' is codded as '1122214'

And,

 'CROW' is coded as '823311'

Similarly,

'MYNA' is coded as ______________

Hence, the correct answer is "1132512".

The pattern followed here is:

We have to interchange the given two signs and numbers in the equation so that equation will be correct.

Let's check each option one by one.

Given: - and +, 6 and 3

Option 1) 7 - 3 × 2 ÷ 6 + 4 = 17

After interchanging the sign and numbers we get the:-

⇒ 7 + 6 × 2 ÷ 3 - 4 = 17

⇒ 7 + 6 × 0.66 - 4 = 17

⇒ 7 + 4 - 4 = 17

⇒ 11 - 4 = 17

⇒ 7 ≠ 17 

⇒ LHS ≠ RHS

Option 2) 8 × 3 - 6 + 4 ÷ 2 = 49

After interchanging the sign and numbers we get the:-

⇒ 8 × 6 + 3 - 4 ÷ 2 = 49

⇒ 8 × 6 + 3 - 2 = 49

⇒ 48 + 3 - 2 = 49

⇒ 51 - 2 = 49

⇒ 49 = 49

⇒ LHS = RHS

Option 3) 7 + 6 ÷ 3 × 8 - 5 = 35 

After interchanging the sign and numbers we get the:-

⇒ 6 - 7 ÷ 3 × 8 + 5 = 35 

⇒ 6 - 2.33 × 8 + 5 = 35

⇒ 6 - 18.66 + 5 = 35

⇒ 11 - 18.66 = 35

⇒ -7.66 ≠ 35

⇒ LHS ≠ RHS

Option 4) 9 - 6 × 4 + 3 × 7 = 8

After interchanging the sign and numbers we get the:-

⇒ 9 + 3 × 4 - 6 × 7 = 8

⇒ 9 + 12 - 42 = 8

⇒ 21 - 42 = 8

⇒ - 21 ≠ 8 

⇒ LHS ≠ RHS

Hence, the correct answer is "Option 2".

The pattern followed here is:

Hibiscus: Flower → Hibiscus is a genus of flowering plants in the mallow family and is a type of flower.

Similarly,

Pumpkin: Fruit → Pumpkin is a plump, botanically pumpkin fruit a type of berry known as a pepo, and pumpkin is a type of fruit.

Hence, the correct answer is "Pumpkin : Fruit".

Additional InformationBeans - Beans are the seed of several plants in the family of Fabaceae.

Leaf - A leaf is part of a plant that's usually green and attached to it by a stem or stalk.

Tree - A tree is a perennial plant with an elongated stem or trunk, usually supporting branches, and leaves.

The position of the English alphabet series is given below:

Hence, the correct answer is "ZUB".

The position of the English alphabet series is given below:

1. COOK : DQPM

And,

2. DOWN : EQXP

Similarly,

3. ONLY : ?

Hence, the correct answer is "PPMA".

The correct answer is Pandit Ravi Shankar.

Key Points

• The first Indian to receive the prestigious Grammy Award was Pandit Ravi Shankar.
• The award was presented on February 10 at the 55th Grammy Awards ceremony in Los Angeles.
• Shankar was a true pioneer in introducing Indian music to the West, he said, adding the music icon influenced artists across classical, jazz, pop, rock, and world music genres, including the Beatles, John Coltrane, Philip Glass, and his daughters, Norah Jones and Anoushka Shankar.

Additional Information

• Grammy Award, any of a series of awards presented annually in the United States by the National Academy of Recording Arts & Sciences.
• Winners are selected from more than 25 fields, which cover such genres as pop, rock, rap, R&B, country, reggae, classical, gospel, and jazz, as well as production and postproduction work, including packaging and album notes.

The correct answer is CaSO4.2H2O.

Key Points

Gypsum is an ore of Calcium (Ca). The chemical formula of Gypsum is CaSO4.2H2O

• Gypsum is mainly used as a fertilizer, as the main constituent in plaster, chalk, etc.
• Rapid setting of cement is the function of gypsum in cement.
• It is a crystalline mineral composed of calcium sulfate dihydrate.
• Gypsum helps in controlling the rate of hardening of the cement.
• It also prevents early hardening allowing long working time, hence we can say that it helps in the rapid setting of cement.
• The Bikaner district of Rajasthan has the maximum quantity of Gypsum.
• Rajasthan produces 90% of total production in India.

Additional Information

Some common chemical compounds with their common names are:

The correct answer is Garo tribe.

Key Points

• Known as the '100 Drum Festival', the Wangala Festival is a traditional festival in the northeastern Indian state of Meghalaya.
• The festival kicked off on November 12th, 2021.
• The festival lasts from two days to a week.
• It is one of the most important festivals of the Garo Tribe.
• The tribesmen make sacrifices to please their god Saljong.

Important Points

• The Wangala festival marks the end of a period of toil, that brings good results to the fields which also signifies the onset of winter.
• It is also celebrated in honour of the Sun God that marks the end of the long harvest season.
• Wangala is celebrated with different forms of dance.
• These dances are performed on the tunes of folk songs that are played on drums and primitive flute.
• Additionally, these flutes are made of buffalo horns.
• On the first day of the festival, people celebrate it with a ceremony called Ragula.
• This ceremony is performed in the house of the village’s chief.
• Then on the second day of celebration, which is called Kakkat, people begin the ceremony by dancing to the rhythms of long oval-shaped drums.
• In this celebration, young and old join together while men play the drums and women perform traditional dance forms. The dance form is known as Dama Dagota.

Additional Information

• ​Meghalaya:
• Lok Sabha seats - 2.
• Rajya Sabha seats - 1.
• State Animal - Clouded leopard.
• State Bird - Common hill myna.
• National Parks - Balphakram National Park, Nokrek Ridge National Park.

The correct answer is Article 368.

Key Points Article 368

• ​Power of Parliament to amend the Constitution and procedure therefor.
• Parliament may in the exercise of its constituent power amend by way of addition, variation or repeal any provision of this Constitution in accordance with the procedure laid down in this article.
• An amendment of this Constitution may be initiated only by the introduction of a Bill for the purpose in either House of Parliament.
• When the Bill is passed in each House by a majority of the total membership of that House and by a majority of not less than two-thirds of the members of that House present and voting, it shall be presented to the President.

Additional Information

Article 352

• Article 352(National Emergency) says that if the president is satisfied that a grave emergency exists whereby the security of India or any part of the territory of India is threatened by war or external aggression or armed rebellion, he may proclaim an emergency.
• This emergency may be with respect to the whole or part of India.

Article 356

• Under Article 356 of the Constitution of India, if a state government is unable to function according to Constitutional provisions, the Union government can take direct control of the state machinery
• Article;356 states that “If the President, on receipt of a report from the Governor of the State or otherwise, is satisfied that a situation has arisen in which the government of the State cannot be carried on in accordance with the provisions of this Constitution, the President may be Proclaim emergency in a state”.

Article 249

• Article 249 of the Indian constitution is related to the Legislative Powers of parliament with respect to subjects in the state list. It empowers the Parliament to make laws with respect to any matter enumerated in the state list.

The correct answer is Kelucharan Mohapatra.

Key Points

• ​Kelucharan Mohapatra was a well-known guru, performer, and exponent of Indian classical dance.
• In the 20th century, he is credited with bringing back and popularizing this classical dancing style.
• He is the first recipient of Odisha's Padma Vibhushan.​

Additional Information

• Bijayini Satpathy :
• For twenty years, Bijayini served as a principal dancer and soloist with the Nrityagram Dance Ensemble.
• Sonal Mansingh:
• Bharatanatyam and Odissi dance styles are taught by Indian classical dancer Sonal Mansingh.
• She received the Padma Bhushan in 1992 and the Padma Vibhushan in 2003 as the youngest recipient.
• Gngadhar Pradhan:
• Indian Odissi dancer Gangadhar Pradhan was well-known.
• In 1998, he received the Sangeet Natak Akademi Prize, and in 2008, he received the Padma Shri.

The correct answer is Zurich.

Key Points

• ​According to FIFA, the draw for the FIFA U-17 Women's World Cup India 2022 took place on June 24 in Zurich.
• It officially endorsed Bhubaneswar, Goa, and Navi Mumbai as the tournament's host cities.
• In addition to the hosts, India, six other nations—Brazil, Chile, Colombia, Japan, and New Zealand signed up for the competition.
• They were included in the draw on June 24.​

Additional Information

• FIFA U-17 Women's World Cup India 2022:
• FIFA World Cup for Women Under-17 India 2022 marked the seventh iteration of the competition.
• It was India's second time hosting a FIFA event, following the 2017 FIFA U-17 World Cup for men.
• Together with the host nation, India, Morocco, and Tanzania all made their tournament debuts.
• After winning their first championship in 2018, Spain was the defending champion.

The correct answer is Balance sheet.

Key Points

• ​The balance sheet is a financial statement that lists a company's assets, liabilities, equity capital, total debt, and other items as of a particular point in time.
• Liabilities are listed on the opposite side of the balance sheet from assets.
• One of the three primary financial statements used to assess a company is the balance sheet.
• It offers a summary of a company's financial situation as of the publication date.
• The assets on the balance sheet are equal to the total of the liabilities plus the shareholders' equity.
• Financial ratios are computed using balance sheets by fundamental analysts.

Additional Information

• Balance of payment:
• It is a list of every transaction that took place between entities in one nation and the rest of the world during a specific time frame, such a quarter or a year.
• Both the current account and the capital account are part of the balance of payments.
• The balance of payments' total recorded transactions must equal zero.
• Bank bailout:
• A bailout is when financial assistance is given to an organisation or nation that might otherwise be in financial trouble. ​
• Loans, bonds, stocks, or cash can all be used as bailout funds.
• Certain loans need to be repaid, with or without interest charges.

The correct answer is Only II.

Key Points

Family welfare Programme

• Family welfare includes not only the planning of birth but the welfare of the whole family by means of total family health care.
• The family welfare programme has high priority in India because its success depends upon the quality of life of all citizens.
• FWP mainly includes Family planning information, counselling and services to women for healthy reproduction. Hence, statement 1 is NOT correct.
• Education about safe delivery and post-delivery of the mother and the baby and the treatment of women before pregnancy.
• Health care for infants’ immunization against preventable diseases.
• The Department of HFW is responsible for implementing the National Family Welfare Programme by, inter-alia, encouraging the utilisation of contraceptives and their distribution to the States/UTs.

National Population Policy (NPP)

• In the year 2000, the National Population Policy (NPP) provided the framework for a holistic planned effort.
• It provides a policy framework for imparting free and compulsory school education up to 14 years of age. Hence, statement 2 is correct.
• It also focuses on reducing the infant mortality rate to below 30 per 1000 live births.

The correct answer is the Invention of the mercury barometer.

Key Points

Evangelista Torricelli

• He was born on 15 October 1608.
• He was an Italian physicist and mathematician, and a student of Galileo.
• He is best known for his invention of the mercury barometer but is also known for his advances in optics and work on the method of indivisibles.
• The Torr is named after him.
• He died on 25 October 1647.

The correct answer is Aurangzeb.

Key Points

• Mohi-ud-din Mohammed Aurangzeb was born on Oct. 24, 1618, at Dohad and was the third son of Emperor Shah Jahan.
• Aurangzeb (1618-1707) was the sixth Mughal emperor of India and the last of the "Great Mughal ."
• He extended the Mughal  Empire to its farthest boundaries, but his reign was harsh and marked by revolts.
• He ruled over most of the Indian subcontinent during some parts of his reign, which lasted for 49 years from 1658 until he died in 1707.
• Mughal emperor Aurangzeb died in 1707 after a 49-year reign without officially declaring a crown prince.

Additional Information Akbar

• Akbar, in full Abū al-Fatḥ Jalāl al-Dīn Muḥammad Akbar.
• He extended Mughal power over most of the Indian subcontinent and he reigned from 1556 to 1605.
• At 13 years of age, Akbar was made the governor of the Punjab region.
• Akbar married Jodha Bai, the daughter of the Rajput ruler of Amer, Raja Bharmal. She is also known as Mariam-uz-Zamani
• Akbar succeeded Humayun on February 14, 1556, in Kalanaur (Punjab) and was proclaimed ‘Shahanshah’. Bairam Khan ruled on behalf of the young Emperor till he came of age.
• Akbar brought in Gujarat (1584), Kabul (1585), Kashmir (1586-87), Sindh (1591), Bengal (1592), and Kandahar (1595) within the Mughal territory.

Shahijahan

• Shah Jahan - Shahab-ud-din Muhammad Khurram, better known by his regnal name Shah Jahan.
• He was the fifth Mughal emperor, who reigned from 1628 to 1658.
• Before becoming king, as a prince, he had been the governor of the Deccan, Bihar, Bengal, Gujarat, and Delhi.
• His reign ushered in the golden age of Mughal architecture.
• Shah Jahan commissioned many monuments, the best known of which is the Taj Mahal in Agra, which entombs his favourite wife, Mumtaz Mahal.
• Important Monuments Built By Shah Jahan Other than Taj Mahal are Red Fort or Lal Quila, Jama Masjid (Delhi), Jama Masjid in Agra, the Rang Mahal or Palace of Colour, and Moti Masjid.

The correct answer is Odisha.

Key Points

• The Odisha govt has launched a rainwater harvesting scheme named  ‘Community Harnessing and Harvesting Rainwater Artificially from Terrace to Aquifer (CHHATA)’.
• It has been conceptualized to address the increasing stress on groundwater and to improve the depleting groundwater table.
• Under the scheme, a target has been set to harvest 373.52 crore liters of water in five years.

Additional Information

• The Indian state Odisha was established on 1 April 1936.
• The organization Utkal Sammilani was formed in 1903 to demand the unification of Odia-speaking regions into one state.
• The Province of Bihar and Orissa was formed on 1 April 1912.
• Bihar and Orissa were subdivided into separate provinces on 1 April 1936.
• The new Province of Orissa was created on a linguistic basis during the British rule in India, with Sir John Austen Hubback as the first governor.
• On 15 August 1947, the agreement to join Orissa was signed by 27 princely States.

The correct answer is 30.

Key Points

• The minimum period of time taken up to which the weather variations are considered to predict the climate of a place is 30 years.
• The climate is the long-term form of weather, truly says that it is an average form of weather over a period of 30 years.
• Some of the meteorological aspects of climate that are commonly identified are humidity, temperature, atmospheric pressure, precipitation, and wind.

Important Points

• Weather is the basic state of the atmosphere.
• It is described as the degree to which it is cold & hot, dry or wet, clear or cloudy.
• In the lowest level of the atmosphere which is called the troposphere, just below the stratosphere, most weather phenomena occur.

Additional Information

• Major factors of Climate & Weather: 
• There are some major elements that are usually responsible for climate & weather change, which are as follows:
• Temperature: 
• It is basically an intensity or degree of heat present in an object or substance, especially according to a comparative scale and shown & measured by a thermometer.
• Temperature is a physical property of matter that expresses that the weather is hot and cold.
• It is the form of thermal energy, present in all matter, which is the source of the occurrence of heat, a flow of energy when an object is in contact with another that is hotter or colder.
• Humidity: 
• Humidity is the intentness of water vapor that's present in the air.
• Water vapor is the last or gaseous state of water, and is generally invisible to humans.
• Humidity indicates the likelihood for dew, precipitation, or fog to be present.
• Atmosphere Pressure: 
• Atmospheric pressure is basically a force in any area pushed by any surface by the weight of the Earth's atmosphere.
• This is because high-altitude places do not have sufficient air above them, pushing them down.
• Barometers are used to measure the pressure of the atmosphere.
• Precipitation & Meteorological phenomena: 
• Precipitation & Meteorological phenomena are also essential elements for climate change.
• On Earth, the general weather phenomena include rain, cloud, wind, snow, fog & dust storms.

The correct answer is 16 m.

Key Points

• The length of a Beach Volleyball court is 16 m.
• The required beach volleyball court dimensions for USA Volleyball and NCAA Beach Volleyball doubles competition is 16m by 8m (52’6” by 26’3”).
• Posts should be placed 1m (3’-4”) from each sideline, 10m (30’-7”) from each other(not shown).
• Adjacent beach volleyball courts built side by side are recommended to have a free space of 5-6m (16’-20’) and may share free space.
• If adjacent courts are situated end line to end line, 9m (29’-6”) of free space is recommended.
• Each team consists of six players.

Additional Information

• Beach volleyball made its debut at the 1996 Atlanta Games.
• The first team to win the Gold Medal was the United States of America in 1996.
• In 2016 Brazil won the Gold Medal.
• It is played on a Sand Court divided by the net.
• It was first played in 1915 at the Outrigger Canoe Club, in Waikiki, Hawaii.
• Its international governing body is the Federation Internationale de Volleyball (FIVB).

The correct answer is

Key Points

• Jadeite stone may have come from China.
• It is found in Daojali Hading, a hill located in the Brahmaputra Valley. Hence, option 4 is correct.
• It is located close to the routes leading to Myanmar and China.
• Here, apart from Jadeite stones, even pestles, mortars, and stone tools were discovered.
• All these discoveries point out that people were probably growing grains and preparing food from it.
• In Daojali Hading, people also found tools made of pottery and fossil wood.

The correct answer is Roger Binny.

Key Points

• Former cricketer Roger Binny has been elected as the 36th President of the Board of Control for Cricket in India (BCCI).
• He replaces Sourav Ganguly, who held the post since 2019.
• Binny, 67, was one of the architects of India’s 1983 World Cup triumph and president of the Karnataka State Cricket Association.
• Jay Shah will continue for a second term as the secretary of the BCCI.

Additional Information

• Recent Appointments:
• Senior IFS officer Partha Satpathy has been appointed as India’s next Ambassador to Bosnia and Herzegovina.
• Leading Fintech platform Stashfin has appointed BFSI (Banking, Financial Services, and Insurance) expert and former MD and CEO of SBI Cards, Vijay Jasuja as Non-Executive Independent Director.
• IFS officer Bandaru Wilsonbabu has been appointed as the next ambassador of India to the Republic of Madagascar.
• CSB Bank Limited has announced the appointment of Pralay Mondal as the MD and CEO of the bank for a period of three years starting 15 Sept 2022.
• Senior diplomat Sibi George has been appointed as the next Indian ambassador to Japan.
• Pieter Elbers has joined IndiGo as the Chief Executive Officer (CEO).

The correct answer is Rajasthan.

Key Points

• For pregnant women, a special Health Care Abhiyan ' Anchal' has been launched in Rajasthan.
• In Rajasthan, a Special Health Care Abhiyan ‘Anchal’ has been launched in the Karauli district for pregnant women.
• More than 13 thousand women have benefited from this Abhiyan.
• During the campaign, 13,144 pregnant women were tested for their hemoglobin levels, out of which 11,202 were found to be anemic.
• These women were advised to take the right medicine and necessary nutritious diet.

Additional Information

• Rajasthan: (Sep 2023)
• Chief Minister - Bhajan Lal Sharma
• Governor - Kalraj Mishra.
• Number of Districts - 53
• Lok Sabha seats - 25.
• Rajya Sabha seats - 10.

The correct answer is Lanthanides.

Key Points

• The atomic number of lanthanide is in the 57-71 range
• It is also called lanthanoid.
• It is any of the series of 14 consecutive chemical elements in the periodic table from lanthanum to lutetium i.e. atomic numbers 57–71 with 57 (Lanthanum) and 71 (Lutetium).
• Scandium and yttrium are rare-earth metals.

Additional Information

• Actinides are the 14 elements with atomic numbers from 89 to 103.
• They are named after the first element in the series, actinium.
• The actinides group includes mostly man-made elements with only a few exceptions such as uranium and thorium.
• The actinides are most known for the elements uranium and plutonium which are used in nuclear reactors and nuclear bombs.
• Alkali metals belong to the s-block elements occupying the leftmost side of the periodic table.
• Alkali metals readily lose electrons, making them the most reactive elements on earth.
• In general ‘alkali’ refers to the basic or alkaline nature of their metal hydroxides.
• The compounds are called alkali metals because when they react with water they usually form alkalies which are strong bases that can easily neutralize the strong acids.​
• Halogens contain 2 gases, one liquid, and 2 solids.
• Halogens are elements of group 17 in the periodic table consisting of five elements: fluorine (F), chlorine (Cl), bromine (Br), iodine (I), and astatine (At).
• Fluorine and chlorine are gases.

The correct answer is Maharashtra.

Key Points

• India held a global monopoly over the manufacturing of cotton textiles for about 3,000 years - from 1500 B.C. to 1500 A.D.
• India's first cotton mill was set up in Bombay.
• The first Cotton mill was The British Spinning and Weaving Company.
• Sir William Fairbairn designed this company and production started in the year 1856.
• The real expansion of the cotton textile industry in India took place in the 1870s. During this period, the number of mills rose to 47 - of which over 60 % were in Mumbai.
• The First and Second World Wars, the Swadeshi Movement, and the grant of fiscal protection rapidly propelled the growth of this industry.

Additional Information

• The first cotton mill in India was established in 1818 at Fort Gloster near Kolkata but was a commercial failure.
• The second cotton mill in India was established by KGN Daber in 1854 and was named Bombay Spinning and Weaving Company. This mill is said to mark the true foundation of the modern cotton industry in India.
• In Ahmedabad - also referred to as the ‘Manchester of India’ - the opening of Shahpur mill in 1861
• The cotton textile mills were concentrated in the western parts of the country like Maharashtra and Gujrat, while the Jute Industries were concentrated in Bengal.

The correct answer is Poverty and Un - British Rule in India.

Key Points 

• Dadabhai Naoroji was one of the proponents of “Drain Theory” and wrote a book “Poverty and Un-British rule in India” and offered scathing criticism of the economic impact of British rule.
• The major writings of Dada Bhai Naoroji were as follows:
• Poverty in India
• The manners and customs of the Parsees
• Condition of India
• Admission of educated natives into the ICS
• The wants and means of India ​

Additional Information

• Dadabhai Naoroji was popularly known as the 'Grand Old Man of India'.
• He is the first Indian to become a member of the British Parliament.
• He helped found the London Indian Society and East India Association.
• In 1885, Naoroji became a vice president of the Bombay Presidency Association.
• He was Congress president thrice, in 1886, 1893, and 1906.

The correct answer is 13^th.

Key Points

• Dr Pramod Sawant is an Indian politician and the 13th and current Chief Minister of Goa.
• Sawant represents the Sanquelim constituency in the Goa Legislative Assembly and is a member of the Bharatiya Janata Party.
• Dayanand Bandodkar was the first CM of the UT of Goa in 1963.
• After the 56th Amendment Act,1987 of the Indian Constitution, the union territory was split, and Goa was made India's twenty-fifth state, with Daman and Diu remaining a union territory

Additional Information

• Governor of Goa - Sh Sreedharan Pillai
• Goa Statehood Day - 30th May 1987
• Capital - Panaji
• Official Language - Konkani
• National Parks - Bhagwan Mahavir Wildlife Sanctuary, Salim Ali Bird Sanctuary

The correct answer is Sperm.

Key Points

• Sperm cells are eukaryotic cells. They have a nucleus inside a specialized region called an acrosome
• Prokaryotic cells are primitive cell having three basic structures of typical cells but lacking nuclear membranes.
• The prokaryotic cell consists of a single membrane and therefore, all the reactions occur within the cytoplasm
• The nucleus is absent in Prokaryotic Cells but nuclear material is present in a region of cytoplasm called the nucleoid.
• Membrane-bound organelles are absent in Prokaryotic cells like Mitochondria, lysosomes, and Golgi bodies.
• Examples of some Prokaryotic are viruses, bacteria, blue-green algae, mycoplasma etc.

Fig- Prokaryotic cell

Additional Information

• Eukaryotic Cells
• ​These are complete cells which contain membrane-bound organelles and nuclei. Unicellular and multicellular plants and animals have Eukaryotic cells.
• The nucleus contains chromatin made up of DNA and histone protein.
• The biggest single called organism is Acetabularia.

The correct answer is Hoarding.

Key Points

• Hoarding is the purchase and warehousing of large quantities of a commodity by a speculator with the intent of benefiting from future price increases.
• Trade or exchange of goods involves several difficulties, which are removed by auxiliaries or supplementary supports known as Aids to Trade.
• Aids to trade include Transport, Communication, Warehousing, Banking, Insurance, Advertising, Salesmanship, Mercantile agents, Trade promotion organizations in a country and Global organizations for international trade. These important auxiliaries ensure a smooth flow of goods from producers to the consumers

Additional Information

• Insurance is a means of protection from financial loss in which, in exchange for a fee, a party agrees to compensate another party in the event of a certain loss, damage, or injury. It is a form of risk management, primarily used to hedge against the risk of a contingent or uncertain loss.
• Warehousing is when you purchase goods from a manufacturer and store them before they are shipped to another location for fulfilment. You may store these goods in a warehouse, spare room, or other facilities. This all depends on how much stock you have, and how big your business is
• Transportation is the movement of goods and persons from place to place and the various means by which such movement is accomplished.
• Communication means transmitting or exchange of information from one person to another.
• Banking solves the problem of finance. Businessmen receive money and also pay money in large amounts. It is risky to carry a large amount of cash from one place to another. Here comes Banking as a solution. Banking and financial institutions solve the problem of payment and facilitate a smooth exchange between buyer and selle

The correct answer is James Hutton.

Key Points

• James Hutton is known as the Father of Geology.
• He formulated geological principles on the basis of his observations of rocks.
• He was a Scottish naturalist, physician, and geologist.

Additional Information

• E. J. Butler :
• Sir Edwin John Butler was an Irish mycologist and plant pathologist who became the Imperial Mycologist in India.
• He is noted for identifying 150 species of plant pathogenic fungi.
• Alfred Wegener:
• The Continental Drift Theory was given by Alfred Wegener in 1912.

The correct answer is Humayun.

Key Points

• Kamran Mirza was the second son of Babur, the founder of the Mughal Empire and the first Mughal Emperor.
• Kamran Mirza was born in Kabul to Babur's wife Gulrukh Begum.
• He was the brother of the Mughal emperor Humayun.

Additional Information

• Humayun
• Humayun was born on 6th March 1508 in Kabul (Afghanistan). His real name was Nasir-ud-Din Muḥammad popularly known as Humayun.
• He was the second Emperor of the Mughal Empire, who ruled over territory in what is now Pakistan, Northern India, Afghanistan, and Bangladesh from 1530–1540, and again he ruled in the 2nd term from 1555–1556.
• In the year 1530, he succeeded his father Babur founder of the Mughal Empire to the throne of Delhi as the second (2nd) ruler of the Mughal territories in the Indian subcontinent.
• Humayun lost the Mughal territories to Sher Shah Suri but regained them after 15 years 1555-56 with the help of the Safavid dynasty of Persia.
• On 24 January 1556, Humayun, who died in the Library with his arms full of books, was descending the staircase from his library and he lost his balance fell down from the staircase and died.
• In his memoir, his (sister Gulbadan begum) wrote his autobiography named "Humayunama" which was written in the Persian language.
• Humayun the eldest son of Babar, succeeded his father and became the second emperor of the Mughal Empire.
• Humayun's heir, Akbar, was born in exile and was only 13 years old when his father died.

The correct answer is Bidesia.

Key Points

• The Dance from Bidesia is very renowned among the locals in the state of Bihar.
• This dance is popularly known for its unique theme, which talks about social issues, contradictory topics and conflict between traditional and modern lifestyles.
• The dance form Bidesia is one of the traditional dances of the state, which originated in a twentieth-century folk theatre.
• In some performances, men and women both participate but in some only men participate. If only men are participating in a performance they do the role of both male and female characters. To represent women men used to wear long artificial hair and a saree.
• The plays are based on social issues like poverty, the condition of women in their households and the roots of the emotions we fight with every day.

Additional Information

• Ghoomar
• Ghoomar is a traditional as well as an enthusiastic folk dance of Rajasthan.
• Ghoomar or Ghumar was developed by the Bhil tribe and was adopted by other Rajasthani communities
• The Ghoomar dance is a particularly a women's dance and is performed by women for exclusively ladies' gatherings
• Kalbelia
• Kalbelia dance is a folk dance of the Rajasthan state of India. It is well known by other names like 'Sapera Dance' or 'Snake Charmer Dance'.
• Kalbelia dance is particularly performed by a Rajasthani tribe called 'Kalbelia'
• Kummatti
• Kummatti is a form of processional mask dance from the central parts of Kerala.
• Kummatti dances belong to the cult of Goddess Devi and different temples have their variations of the tradition

Given:

The radius of a right circular cylinder is thrice of its height.

Height of the cylinder is 2.1 cm.

Concept used:

Volume of a cylinder = πR²H

where r = Radius of the base, h = height

Calculation:

Radius = 3 × 2.1 = 6.3 cm

The volume of the cylinder

⇒ π × 6.3² × 2.1

⇒ 261.954 cm3 ≈ 261.95 cm3

∴ The volume of the cylinder is 261.95 cm3.

Given:

5 men and 8 women can complete a work in 12 days working together, while 3 men and 7 women together can complete the same work in 15 days.

Concept used:

Total work = Efficiency of each worker × Number of Hours × Number of days to finish × Number of total workers

Calculation:

Let the efficiency of each man and woman be M and W respectively.

​According to the question,

(5M + 8W) × 12 = (3M + 7W) × 15

⇒ 60M + 96W = 45M + 105W

⇒ 15M = 9W

⇒ M = 3W/5      ....(1)

Now, time taken to complete the work by 11 women 

⇒ (5M + 8W) × 12 ÷ 11W

⇒ (3W + 8W) × 12 ÷ 11W (From 1)

⇒ 12 days

∴ 11 women will complete the same work in 12 days.

Calculation:

Now, the average wage of the employees

⇒ (85 × 9 + 95 × 3 + 105 × 31 + 115 × 5 + 125 × 2)/(9 + 3 + 31 + 5 + 2) = 513/5 

⇒ 102.6

⇒ 100 < 102.6 < 110

∴ The average wage of the employees lies between 100-110.

Given: 

$\rm \frac{k-k\cot^230^\circ}{1+\cot^2 30^{\circ}}$= sin2 60° + 4 tan245° - cosec260°

Concept used:

Calculation:

$\rm \frac{k-k\cot^230^\circ}{1+\cot^2 30^{\circ}}$= sin2 60° + 4 tan245° - cosec260°

⇒ $k \frac {1 - 3}{1 + 3}$ = 3/4 + 4 × 1 - 4/3

⇒ $\frac {-k}{2}$ = 41/12

⇒ k = -41/6

⇒ k ≈ -6.83

∴ The value of k is -6.83.

Given:

A man bought a watch for a 12% discount.

If he had bought it for a 24% discount, he would have got the watch for ₹2400 less. 

Concept used:

Selling Price = Marked Price × (1 - Discount%)

Calculation:

Let the marked price be X.

​According to the question,

X × (24 - 12)% = 2400

⇒ X = 2400/12%

⇒ X = 20,000

∴ The marked price of the watch is ₹20,000.

Given:

The price of salt decreases by 20%.

Calculation:

Let the original price of 100 units of salt be Rs. 100.

Now the price of 100 units of salt = 100 - 100 × 20% = Rs. 80

Now the quantity of salt one can get for Rs. 100 = 100/80 × 100 = 125 gm

Now, % increase in consumption = $\frac {125 - 100}{100} × 100\%$ = 25%

∴ By 25% the consumption should be increased to keep the expenditure the same.

Shortcut Trick

the price of salt decreases by 20%, Before : After = 5 : 4

To make the expenditure same, Consumption must be Before : After = 4 : 5

So, consumption increased by 1/4 × 100 = 25%

Given:

A solid copper sphere of radius 9 cm is hammered and moulded into a wire of radius 2 cm. 

Concept used:

1. Volume of a cylinder = πR²H (r = Radius of the base, h = height) 2. Volume of a sphere = ${4\pi R^3 \over 3}$ (R is the radius of the sphere) 3. Volume of the sphere = Volume of the wire

Calculation:

Volume of the sphere = (4π × 9³)/3 cm³

Let the length of the wire be L.

​According to the question,

π × 2² × L = (4π × 93)/3

⇒ L = 243

∴ The length of the wire is 243 cm.

Given: 

18 is the third proportion.

Concept used:

1. If A : B :: C : D then (B × C) = (A × D)
2. (a - b)² = a² - 2ab + b²

Calculation:

Let the smallest positive number be Q.

The proportion becomes (9 - Q) : (13 - Q) : : (13 - Q) : 18.

​According to the question,

(13 - Q)² = (9 - Q) × 18

⇒ 169 + Q² - 26Q = 162 - 18Q

⇒ Q² - 8Q + 7 = 0

⇒ (Q - 7)(Q - 1) = 0

So, the smallest number = Q = 1

∴ The smallest number is 1.

Shortcut Trick

Total employees = 700 + 300 = 1000

Total Wage = 1000 × 450 = Rs. 4,50,000

Extra amount given to 700 men = 700 × 50 = Rs. 35,000

Total wage if all were women = 4,50,000 − 35,000 = Rs. 4,15,000

Daily wage of a woman = 4,15,000 ÷ 1000 = Rs. 415

∴ The correct option is C.

Alternate Method

Given:

Number of men (n₁) = 700

Number of women (n₂) = 300

Average wage of all employees = Rs. 450

Man wage − Woman wage = Rs. 50

Formula Used:

Combined Average = (n₁ × x₁ + n₂ × x₂) ÷ (n₁ + n₂)

700 Men 300 Women Wage: (x + 50) Wage: x

Combined Avg = Rs. 450

Let the daily wage of a woman be Rs. x.

Daily wage of a man = Rs. (x + 50)

⇒ Total employees = 700 + 300 = 1000

⇒ Total daily wage = 1000 × 450 = 4,50,000

⇒ 700 × (x + 50) + 300 × x = 4,50,000

⇒ 700x + 35,000 + 300x = 4,50,000

⇒ 1000x + 35,000 = 4,50,000

⇒ 1000x = 4,50,000 − 35,000

⇒ 1000x = 4,15,000

⇒ x = 4,15,000 ÷ 1000

⇒ x = 415

∴ The correct option is C.

Additional Information

Combined Average Formula

When two groups with averages A₁ and A₂ are mixed, the combined average is (n₁A₁ + n₂A₂) ÷ (n₁ + n₂).

Weighted Average via Deviation

If the average is A, the sum of deviations of all observations from A is always zero.

Alligation Method

The ratio of the quantities is inversely proportional to the differences between their individual values and the mean value: n₁/n₂ = (Mean − A₂) / (A₁ − Mean).

Given:

A, B, C are three angles of a triangle.

A - B = 45° and B - C = 15°

Concept used:

All internal angles of a triangle sum up to 180°.

Calculation:

∠A + ∠B + ∠C = 180°      ....(1)

∠A - ∠B = 45°      ....(2)

∠B - ∠C = 15°      ....(3)

(1) + (2) + (3),

2∠A + ∠B = 240°      ....(4)

Solving (4) and (2), ∠A = 95°

∴ The measure of ∠A is 95°.

Given:

8a3 + 27b3 = 16 and 2a + 3b = 4

Concept used:

1. (A + B)² = A² + B² + 2AB
2. (A + B)³ = A³ + B³ + 3AB(A + B)

Calculation:

8a3 + 27b3 = 16      ....(1)

⇒ (2a + 3b)³ - 18ab(2a + 3b) = 16

⇒ 4³ - 18ab × 4 = 16

⇒ 72ab = 64 - 16

⇒ 72ab = 48

⇒ ab = 2/3      ....(2)

(2a + 3b) = 4      ....(3)

⇒ 4a² + 12ab + 9b² = 16

⇒ 4a² + 9b² = 16 - 12 × (2/3)

⇒ 4a2 + 9b2 = 8      ....(3)

Now,

(8a3 + 27b3)(2a + 3b) = 64

⇒ 16a⁴ + 54ab³ + 24a³b + 81b⁴ = 64

⇒ 16a4 + 81b4 + 6ab(4a2 + 9b2) = 64

⇒ 16a4 + 81b4 + 6 × (2/3) × 8 = 64

⇒ 16a4 + 81b4 = 64 - 32

⇒ 16a4 + 81b4 = 32

∴ The required value is 32.

Calculation:

The average of exports during the given period of time = (825 + 1014 + 1240 + 1522 + 1650)/5 = Rs. 1,250.2 lakhs

∴ The average of exports during the given period of time is Rs. 1,250.2 lakhs.

Given:

The cost price is 72% of the selling price.

Concept used:

Profit% = ${(Selling\ Price\ -\ Cost\ Price) \over Cost\ Price} \times 100\%$

Calculation:

Let the selling price be 100x.

Cost price = 100x × 72% = 72x

Now, profit% = $\frac {100x- 72x}{72x} \times 100\%$ ≈ 38.89%

∴ The profit percentage is 38.89%.

Given:

Principal = Rs. 15,750

Rate = 20% half yearly

Time = 2 years

Concept used:

In case of the compound interest,

Amount = P(1 + R/100)^N

CI = P(1 + R/100)^N - P

where

P = Principal amount

R = Rate of interest per year

N = Time in years

Calculation:

Now, the incurred compound interest on Rs. 15750

⇒ 15750(1 + $\frac {20 \over 2}{100}$)^{2 × 2} - 15750

⇒ Rs. 7309.575

∴ The interest is Rs. 7309.575.

Given:

A policeman sees a chain snatcher at a distance of 500 m.

Speed of the snatcher = 5 m/s

Speed of the policeman = 15 m/s

Concept used:

1. Time taken to meet for two objects coming towards each other = Intermediary distance ÷ Relative speed 2. Relative speed is the difference between individual speeds while two objects run in the same direction. 3. Distance = Speed × Time 4. km/h = 5/18 m/s

Calculation:

Time taken to catch the snatcher by the policeman = 500 ÷ (15 - 5) = 50 seconds

 

Now, the distance covered by the chain snatcher when he is caught by the policeman = 50 × 5 = 250 m

∴ The distance covered by the chain snatcher when he is caught by the policeman is 250 m.

Given:

A number when divided by 7 leaves a remainder of 4. 

Concept used:

Dividend = Divisor × Quotient + Remainder

Calculation:

Let the number and quotient be N and D respectively.

​According to the question,

N = 7D + 4

⇒ N² = (7D + 4)²

⇒ N² = 49D² + 56D + 16

⇒ N² = 7(7D² + 8D + 2) + 2

So, 7(7D2 + 8D + 2) is completely divisible by 7.

Now, the remainder is 2.

∴ The remainder is 2.

Calculation:

The difference between the total number of Business Analysts who joined the organisation and the total number of sales Representatives who joined the organisation

⇒ (80 + 63 + 78 + 42 + 67) - (50 + 46 + 38 + 34 + 22) = 140

∴ The difference between the total number of Business Analysts who joined the organisation and the total number of sales Representatives who joined the organisation is 140.

Given:

cot B = 9

Concept used:

1. cosec² θ - cot² θ = 1
2. sin² θ + cos2 θ = 1
3. sin θ = 1/cosec θ
4. cos θ = 1/sec θ

Calculation:

cot B = 9

⇒ cot² B = 81

⇒ 1 + cot2 B =  1 + 81

⇒ cosec² B = 82

⇒ sin² B = 1/82

⇒ 1 - sin² B = 1 - 1/82

⇒ cos² B = 81/82

⇒ sec² B = 82/81

∴ The value of sec2 B is 82/81.

Given:

Let O be the center of a circle and P be a point outside the circle. If PAB is a secant of the circle which cuts the circle at A and B and PT is the tangent drawn from P, then find the length of PT.

PA = 3 cm and AB = 9 cm.

Concept used:

If SUV and SW are a secant and a tangent respectively drawn from an external point S on a circle whose center is at C, then SU × SV = SW²

Calculation:

 

​According to the concept,

PA × PB = PT²

⇒ 3 × (3 + 9) = PT²

⇒ PT² = 36

⇒ PT = √36

⇒ PT = 6

∴ The measure of PT is 6 cm.

Calculation:

The value of 95 × 105

⇒ 9975

∴ The value of 95 × 105 is 9975.

Shortcut Trick

Ratio of numbers = 3 : 8

LCM of ratio units = 3 × 8 = 24 units

Given LCM = 120 ⇒ 24 units = 120

1 unit = 120 ÷ 24 = 5

Sum of numbers = (3 + 8) units = 11 units

Total sum = 11 × 5 = 55

∴ The correct answer is 55.

Alternate Method

Given: LCM = 120 and Ratio of numbers = 3 : 8

Formula Used: LCM = HCF × a × b (where a and b are coprime factors of the ratio)

⇒ Let the two numbers be 3x and 8x, where x is the HCF.

⇒ LCM(3x, 8x) = 24x

⇒ 24x = 120

⇒ x = 120 ÷ 24

⇒ x = 5

⇒ Sum of the numbers = 3x + 8x = 11x

⇒ Sum = 11 × 5 = 55

∴ The correct answer is 55.

Additional Information

HCF and LCM Relation

For any two numbers, Product of numbers = HCF × LCM.

LCM of Fractions

LCM of fractions = LCM of Numerators ÷ HCF of Denominators.

LCM of Ratios

If two numbers are in the ratio a : b, then their LCM = HCF × a × b.

Sum and Difference of Numbers

Sum = (a + b) × HCF and Difference = (b − a) × HCF, where a : b is the ratio of the numbers.

Given:

$\rm {\cos X -\sqrt{3} \sin X\over 2}$

Concept used:

cos(x + y) = cos x × cos y - sin x × sin y

π = 180°

Calculation:

$\rm {\cos X -\sqrt{3} \sin X\over 2}$

⇒ $\frac {1}{2} × cos X - \frac {\sqrt3}{2} × sin X$

⇒ $cos 60^\circ × cos X - sin 60^\circ× sin X$

⇒ cos(60° + X)

⇒ Cos (${ π{} \over 3} + X$)

∴ The simplified value is Cos (${ π{} \over 3} + X$).

Calculation:

123 + (-8)3 + (-4)3

⇒ 1728 - 512 - 64

⇒ 1152

∴ The simplified value is 1152.

Given:

ΔABC is a right-angled triangle where ∠A = 90° and AD ⊥ BC.

Area (ΔABC) = 80 cm2 and BC = 16 cm.

Concept used:

Area of a triangle = 1/2 × Base × Height

Calculation:

 

Considering ΔABC, BC = base of ΔABC and AD = Height of ΔABC.

​According to the question,

1/2 × AD × BC = area (ΔABC)

⇒ 1/2 × AD × 16 = 80

⇒ AD = 10

∴ The measure of AD is 10 cm.

Calculation:

The difference between the weights of bananas and oranges at the fruit shop

⇒ 2500 × (15 - 11)% = 100 kg

∴ The difference between the weights of bananas and oranges at the fruit shop is 100 kg.

The correct answer is option 4) i.e. "ACDB." 

Key Points

• In the abovementioned paragraph, there is a chronological sequence of the sentences.
• Sentence A is the first sentence as it begins with the noun 'Shalini' and mentions as she awaited her friend, she was scrolling through the phone's screen.
• Sentence C is the second sentence as it begins with the conjunction 'when' and mentions the next incident which is after her friends arrival, they went to the market. Thus it establishes a relation with the previous sentence.
• Sentence D is the third sentence as it begins with the noun 'The market place' and creates a relevent situation that is the condition of the market.
• The only option that shows such an arrangement is Option 4.
• Sentence B is the last sentence as it begins with the pronoun 'her' and mentions what they did in the market. Thus, it establishes a relation with the previous sentence.
• Thus, the correct answer is Option 4.

 

The correct order is: 

A. Shalini was scrolling down the phone screen while waiting for her friend.

C. When her friend arrived, they went to the market place.

D. The market place was thronging with people.

B. Her friend brought a bouquet for Shalini from the market place.

The correct answer is option 3), i.e., "To put a bad impression."

Key Points

• Let’s look at the meaning of the given idiom/phrase:
• The phrase 'Cut a poor figure' means 'to produce a poor impression.' (खराब प्रभाव डालना)
• Example:
• ​You'll cut a poor figure at the job interview if you wear jeans.
• Hence, the only possible answer is option 3, 'To put a bad impression,' which exactly resembles the meaning of the given idiom/phrase.

The correct answer is option 4) i.e. "PQRS." 

Key Points

• In the abovementioned paragraph, there is a chronological sequence of the sentences.
• Sentence P is the first sentence as the sentence begins with the noun 'A 2007 - 2009 study' and therefore it will be followed by a verb. Among the given options the verb is 'explored.' It mentions a 2007–2009 study investigated methods for thinking ahead.
• Sentence Q is the second sentence as it begins with the direct infinitive 'to synchronise' and describes the purpose of the forward thinking techniques. Thus it establishes a relation with the previous sentence.
• The only option that shows such an arrangement is Option 4.
• Sentence R is the third sentence as it begins with the noun 'space probes' and it shows a relation with the previous sentence which ended with the adjective 'deep.' It mentions the purpose of deep space probes.
• Sentence S is the last sentence and it mentions the study was focused on low-cost methods for synchronising time on deep space probes for precise navigation.
• Thus, the correct answer is Option 4.

 

The correct order is: 

A 2007 - 2009 study

P. explored forward thinking techniques

Q. to synchronise time on board deep

R. space probes for accurate navigation, in 

S. particular looking into low-cost options.

The correct answer is option 3) i.e. 'The roads are fixed by indentured labourers.'

Key Points

• The given sentence is in the active voice. We have to change the sentence into passive form.
• The given sentence is written in 'simple present tense.'
• The structure of these kinds of sentences is:
• Active Voice: Subject + V1 + Object.
• Passive Voice:  Object + am/is/are + V3 + by (preposition) + Subject.
• Let’s see another example:
• Active voice: She plays cricket.
• Passive voice: Cricket is played by her.
• The subject of the given sentence is 'The indentured labourers' and the object of the given sentence is 'the roads'.
• So, in the passive voice, the position of ‘subject’ and ‘object’ will be interchanged.
• Also here, 'fix' will be changed into 'are fixed'.

 

Correct Sentence: The roads are fixed by indentured labourers.

The correct answer is option 1) i.e. 'Gandolf, the savior, defeated the evil king.'

Key Points

• The given sentence is in the passive voice. We have to change the sentence into the active form.
• The given sentence is written in 'simple past tense' form.
• The structure of these kinds of sentences is:
• Passive Voice:  Object + was/were + V3 + by + Subject
• Active Voice: Subject + V2 + Object.
• Let’s see another example:
• Passive voice: Football was played by them.
• Active voice: They played football.
• The object of the given sentence is 'The evil king' and the subject of the given sentence is 'Gandolf, the savior.'
• So, in the active voice, the position of ‘object’ and ‘subject’ will be interchanged and 'by' will be removed.
• Also here, 'was defeated' will be changed into 'defeated.'

 

Correct Sentence: Gandolf, the savior, defeated the evil king.

The correct answer is option 4), i.e., "To be a winner."

Key Points

• Let’s look at the meaning of the given idiom/ phrase:
• The phrase 'Bear the palm' means 'means to win a reward or have a victory on something.' (विजेता बनना)
• Example:
• ​ I wish you bear the palm in the football match.
• Hence, the only possible answer is option 4, 'To be a winner,' which exactly resembles the meaning of the given idiom/ phrase.

The correct answer is option 3), i.e., 'specialties.'

Key Points

• Let's look at the meaning of the words given in the options:

• The context of the sentence is that everyone should be aware of their own areas of expertise, skill set, and uniqueness.
• According to the above-mentioned points, the most appropriate word to fill in the blank is "specialties."
• Therefore, the correct answer is Option 3.
• Another example:
• The course is aimed at trainees from all surgical specialties.

 

Complete Sentence: Every person should know their own specialties, what their skill set is and how unique they are.

The erroneous part is option 4) i.e. 'careful while executed the.'

Key Points

• The error lies in the part 'careful while executed the.'
• According to the rules of grammar, when an action is in progress at a certain time, we need to use 'continuous form of verb' after the conjunction 'while.'
• In the given sentence, the verb 'execute' is not in continuous form. The continuous form is 'executing.'
• Therefore in the given sentence, we need to use 'executing' in place of 'execute' to make the sentence grammatically correct.
• Hence, the correct answer is option 4.

 

Correct sentence: The manager told her that she should be a bit more careful while executing the orders of the company.

The correct answer is option 3), i.e., 'Clamour.'

Key Points

• Let's look at the meaning of the marked option:
• Clamour: to make a loud complaint or demand. (जोर से शिकायत या मांग करना) 
• Example: People began to clamour for his resignation.
• ​Let's look at the meanings of the other given options:

• Hence, from the given meanings, we find that 'Clamour' is the correct one-word substitute.
• So, the correct answer is option 3.

The correct answer is option 4), i.e., "hysterically."

Key Points  

• The correct spelling is 'hysterically.'
• 'hysterically' means 'without being able to control your feelings or behaviour because you are extremely frightened, angry, excited, etc.' (अपनी भावनाओं या व्यवहार को नियंत्रित करने में सक्षम हुए बिना क्योंकि आप अत्यधिक भयभीत, क्रोधित, उत्तेजित आदि हैं)
• Example:
• He held her to him and she started to weep hysterically.
• Therefore, option 4 is the correct answer.​