SSC CGL 2023 Tier-I Official Paper (Held On: 19 Jul 2023 Shift 1) (Previous Year Paper)

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

5. Valiant
6. Vampire
7. Vanquish
8. Variance
9. Victorious
10. Violence

Hence, the correct answer is "5, 4, 3, 1, 6, 2".

The logic followed here is :-

By using BODMAS RULE :

Option 1) : + and × 

Given equation is  : 756 ÷ 252 + 89 × 180 - 63 = 384

After interchanging the two signs the equation is as follows : 756 ÷ 252 × 89 + 180 - 63 = 384

⇒ 756 ÷ 252 × 89 + 180 - 63 = 384

⇒ 3 × 89 + 180 - 63 = 384

⇒ 267 + 180 - 63 = 384

⇒ 447 - 63 = 384

⇒ 384 = 384

LHS = RHS

Option 2) : ÷ and -

Given equation is  : 756 ÷ 252 + 89 × 180 - 63 = 384

After interchanging the two signs the equation is as follows : 756 - 252 + 89 × 180 ÷ 63 = 384

⇒ 756 - 252 + 89 × 180 ÷ 63 = 384

⇒ 756 - 252 + 89 × 2.857 = 384

⇒ 756 - 252 + 254.2857 = 384

⇒ 1010.2857 - 252 = 384

⇒ 758.2857 ≠ 384

LHS ≠ RHS

Option 3) : - and +

Given equation is  : 756 ÷ 252 + 89 × 180 - 63 = 384

After interchanging the two signs the equation is as follows : 756 ÷ 252 - 89 × 180 + 63 = 384

⇒ 756 ÷ 252 - 89 × 180 + 63 = 384

⇒ 3 - 89 × 180 + 63 = 384

⇒ 3 - 16020 + 63 = 384

⇒ 66 - 16020 = 384

⇒ 15954 ≠ 384

LHS ≠ RHS

Option 4) : ÷ and +

Given equation is  : 756 ÷ 252 + 89 × 180 - 63 = 384

After interchanging the two signs the equation is as follows : 756 + 252 ÷ 89 × 180 - 63 = 384

⇒ 756 + 252 ÷ 89 × 180 - 63 = 384

⇒ 756 + 2.831 × 180 - 63 = 384

⇒ 756 + 509.66 - 63 = 384

⇒ 1265.66 - 63 = 384

⇒ 1202.66 ≠ 384

LHS ≠ RHS

Hence, the correct answer is "+ and ×".

Given :- AESO_WDAE _ _ MWDA_SOM_D_ESOMW_

By checking options and substituting accordingly.

1) MOSEDAW → A E S O M W D - A E O S M W D - A E S O M D D - A E S O M W W

2) MSOEDAW → A E S O M W D - A E S O M W D - A E S O M D D - A E S O M W W

3) MOESWAD → A E S O M W D - A E O E M W D - A S S O M W D - A E S O M W D

4) MSOEWAD → A E S O M W D -  A E S O M W D - A E S O M W D - A E S O M W D

• Here, 'AESOMWD' is repeated.
• Option (4) gives the pattern of :- A E S O M W D -  A E S O M W D - A E S O M W D - A E S O M W D

Hence, the correct answer is "MSOEWAD".

The correct mirror image of the given figure, when the mirror is placed at MN as shown below :

Detailed Explanation:

• The line MN is the mirror.
• The word 'em2BLKi' ends with second letter 'K'. So, the mirror image should be '

' ⇒ Option 1 is eliminated.

• The word 'em2BLKi' ends with third letter 'L'. So, the mirror image will be '

' ⇒ Option 2 is eliminated.

• The word 'em2BLKi' starts with third number as '2'. So, the mirror will be '

' ⇒ Option 4 is eliminated.

Hence, the correct answer is "Option 3".

The logic followed here is :-

First number × 3 = Second number

• 7 : 21 → 7 × 3 = 21

and

• 14 : 42 → 14 × 3 = 42

Similarly,

• 18 : ? → 18 × 3 = 54

Hence, the correct answer is "54".

The logic followed here is :-

Wilt synonym is Droop.

Similarly,

Thrive synonym is Flourish.

Hence, the correct answer is "Flourish".

Hence, the correct answer is "Option 3".

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

Hence, the correct answer is "Option 2".

The logic followed here is :-

Hence, the correct answer is "VWY".

The logic followed here is :-

∴ Here, 'with power' is coded as 'fu co'.

Hence, the correct answer is "fu co".

The logic followed here is :-

Cotton is used to make clothes.

Similarly,

Sugarcane is used to make sugar.

Hence, the correct answer is "Sugar".

The logic followed here is:

Logic: (1st number ÷ 5) + (2nd number ÷ 3) = 3rd number.

Now,

For, (15, 21, 10)

→ (15 ÷ 5) + (21 ÷ 3)

→ 3 + 7 = 10.

For, (25, 36,17)

→ (25 ÷ 5) + (36 ÷ 3)

→ 5 + 12 = 17.

Similarly, for (100, 33, 31)

→ (100 ÷ 5) + (33 ÷ 3)

→ 20 + 11 = 31.

Hence, the correct answer is "Option 2".

The logic followed here is :-

(First number - Third number)²

• (13, 64, 5) → (13 - 5)² = 8² = 64

and

• (10, 1, 9) → (10 - 9)² = 1² =1

Similarly,

• (16, 49, 9) → (16 - 9)² = 7² = 49

Hence, the correct answer is "(16, 49, 9)".

The logic followed here is :-

‘DESIGN’ is coded as 8-10-38-18-14-28.

and

‘FOREST’ is coded as 12-30-36-10-38-40.

Similarly,

‘PLAYER’ will be coded as :

Hence, the correct answer is "32-24-2-50-10-36".

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

• Some fathers are brothers.
• All fathers are males.
• All brothers are males.

Hence, the correct answer is "Option 2".

The figure that will come in place of the question mark (?) in the following figure series is as shown below :

• Right side vertical line is placed on bottom step by step horizontal lines.
• Left side vertical line is placed on bottom step by step horizontal lines.
• This process repeated alternately from left once and right once from figure to figure.

Hence, the correct answer is "Option 4".

The logic followed here is :-

By using BODMAS RULE :

Option 1) : ×, ÷, -, +

Given equation : 36 * 12 * 6 * 12 * 3 = 63

After inserting the mathematical operators in given equation the equation is as follows : 36 × 12 ÷ 6 - 12 + 3 = 63

⇒ 36 × 12 ÷ 6 - 12 + 3 = 63

⇒ 36 × 2 - 12 + 3 = 63

⇒ 72 - 12 + 3 = 63

⇒ 75 - 12 = 63

⇒ 63 = 63

LHS = RHS

Option 2) : ÷, -, +, × 

Given equation : 36 * 12 * 6 * 12 * 3 = 63

After inserting the mathematical operators in given equation the equation is as follows : 36 ÷ 12 - 6 + 12 × 3 = 63

⇒ 36 ÷ 12 - 6 + 12 × 3 = 63

⇒ 3 - 6 + 12 × 3 = 63

⇒ 3 - 6 + 36 = 63

⇒ 39 - 6 = 63

⇒ 33 ≠ 63

LHS ≠ RHS

Option 3) : ÷, +, -, × 

Given equation : 36 * 12 * 6 * 12 * 3 = 63

After inserting the mathematical operators in given equation the equation is as follows : 36 ÷ 12 + 6 - 12 × 3 = 63

⇒ 36 ÷ 12 + 6 - 12 × 3 = 63

⇒ 3 + 6 - 12 × 3 = 63

⇒ 3 + 6 - 36 = 63

⇒ 9 - 36 = 63

⇒ 27 ≠ 63

LHS ≠ RHS

Option 4) : +, ÷, ×, -

Given equation : 36 * 12 * 6 * 12 * 3 = 63

After inserting the mathematical operators in given equation the equation is as follows : 36 + 12 ÷ 6 × 12 - 3 = 63

⇒ 36 + 12 ÷ 6 × 12 - 3 = 63

⇒ 36 + 2 × 12 - 3 = 63

⇒ 36 + 24 - 3 = 63

⇒ 60 - 3 = 63

⇒ 57 ≠ 63

LHS ≠ RHS

Hence, the correct answer is "×, ÷, -, +".

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

• Alternate surfaces are opposite to each other.
• No two opposite surface are touched by side or by corners

From the positions 1, 2, 3 of Dice the opposite faces identified as :

From dice First, second and third:

∴ Here, The opposite side of '3' is '1'.

Hence, the correct answer is "1".

The figure from among the given options that can replace the question mark (?) in the following series is as shown below :

• The slant line is added from figure to figure inside triangel.

Hence, the correct answer is "Option 4".

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

• All shirts are clothes.
• Some shirts are made from Linen.

​

Hence, the correct answer is "Option 4".

Preparing the family tree using the following symbols:

A % B means ‘A is the daughter of B’

A = B means ‘A is the sister of B’

A $ B means ‘A is the father of B’

The given expression is :-

'X % Y = Z % W $ V' → X is daughter of Y, Y is sister of Z, Z is daughter of W, W is father of V.

∴ Here, 'Z' is sister to 'V'.

Hence, the correct answer is "Sister".

The logic followed here is :-

Hence, the correct answer is "24".

The logic followed here is:

Logic: (2nd number × 2) - 1st number = 3rd number.

(47, 108, 169)

⇒ (108 × 2) - 47

⇒ 216 - 47 = 169.

(22, 83, 144) 

⇒ (83 × 2) - 22

⇒ 166 - 22 = 144.

Similarly, (51, 112, 173) 

⇒ (112 × 2) - 51

⇒ 224 - 51 = 173.

Hence, the correct answer is "Option 2".

Alternate Method

The logic followed here is :-

Second number = First number + 61 

Third number = First number + 122

• (47, 108, 169) → (47, 47 + 61, 47 + 122)

and

• (22, 83, 144) → (22, 22 + 61, 22 + 122)

Similarly,

• (51, 112, 173) → (51, 51 + 61, 51 + 122)

Hence, the correct answer is "(51, 112, 173)".

The logic followed here is :-

(First number × 7) - 8

1) 23 : 153 → (23 × 7) - 8 = 161 - 8 = 153

2) 15 : 97 → (15 × 7) - 8 = 105 - 8 = 97

3) 16 : 106 → (16 × 7) - 8 = 112 - 8 = 104 ≠ 106.

4) 26 : 174 → (26 × 7) - 8 = 182 - 8 = 174

Hence, the correct answer is "16 : 106".

The logic followed here is :-

1) HJNU

2) TXBG

3) ACGN

4) PRVC

∴ Here, 'TXBG' is different from other three alternatives.

Hence, the correct answer is "TXBG".

The correct answer is NITl Aayog.

Key Points

• National Multidimensional Poverty Index 2021 (MPI):-
• It is a comprehensive measure of poverty that captures multiple deprivations faced by households across the three macro dimensions of health, education, and living standards.
• It is the first-of-its-kind index developed for India, and it is based on the latest National Family Health Survey (NFHS-5) data.
• It was released by NITI Aayog.
• NITl Aayog:-
• NITI Aayog, also known as the National Institution for Transforming India, is a public policy think tank of the Government of India.
• It was established with the aim of achieving sustainable development and good governance.
• It was formed on 1 January 2015, replacing the Planning Commission of India.

Additional Information

• World Bank:-
• The World Bank is an international financial institution that provides loans and grants to the governments of low- and middle-income countries for the purpose of pursuing capital projects.
• Ministry of Finance:-
• The Ministry of Finance (MoF) is a ministry within the Government of India responsible for the economy of India, serving as the Treasury of India.
• The MoF is headed by the Minister of Finance, who is a member of the Cabinet of India.
• Ministry of Social Justice and Empowerment:-
• It is a Government of India ministry that is responsible for welfare, social justice, and empowerment of disadvantaged and marginalized sections of society.
• These sections include Scheduled Castes (SCs), Scheduled Tribes (STs), Other Backward Classes (OBCs), persons with disabilities, minorities, and victims of atrocities.
• The MSJE is headed by a Cabinet minister and assisted by two Ministers of State.

The correct answer is 1925.

Key Points

• Langmuir Trough Experiment:-
• E Gorter and F Grendel made a breakthrough by examining the surface area of lipids and concluded that the lipid surface surrounding cells must be of two layers in the year 1925.
• Their experiment involved extracting lipids from red blood cells and then spreading them out on a water surface to form a monolayer.
• They then measured the area of the monolayer and found that it was twice the area of the surface area of the red blood cells.
• This led them to conclude that the lipid bilayer model of the cell membrane must be correct.
• Gorter and Grendel's work was a major breakthrough in the understanding of cell structure and function.
• It helped to establish the lipid bilayer model of the cell membrane, which is still the accepted model today.

The correct answer is Narayana Guru .

Key Points

• Narayana Guru:-
• He was a great saint and social reformer of India. He preached for religious unity and social equality in Hinduism.
• He is considered to be one of the greatest religious and social leaders of Kerala.
• Narayana Guru gave his first sermon in 1884. He preached for religious unity and social equality in Hinduism.
• He opposed the caste system, discrimination, and other social evils.
• The ideology of “oru jati, oru matam, oru daivam manushyanu” (one caste, one religion, one god for humankind) was advocated by Shri Narayana Guru only.

Additional Information

• Swami Shraddhanand:-
• He was an Arya Samaj sannyasi and an Indian Independence activist who propagated the teachings of Dayananda Saraswati.
• He was a key figure in the Hindu Sangathan movement in the early 20th century, which aimed to unite Hindus and promote Hindu nationalism.
• Birsa Munda:-
• He was an Indian tribal freedom fighter and folk hero who belonged to the Munda tribe.
• He led a tribal religious millenarian movement that arose in the Bengal Presidency (now Jharkhand) in the late 19th century, during the British Raj, thereby making him an important figure in the history of the Indian independence movement.
• Keshub Chunder Sen:-
• He was a Hindu philosopher and social reformer who attempted to incorporate Christian theology within the framework of Hindu thought.
• He became a member of the Brahmo Samaj in 1857 but established his own breakaway "Bharatvarshiya Brahmo Samaj" in 1866 while the Brahmo Samaj remained under the leadership of Debendranath Tagore (who headed the Brahmo Samaj till his death in 1905).

The correct answer is Donyi Polo Airport.

Key Points

• Donyi Polo Airport, Itanagar:-
• It is a domestic airport serving Itanagar, the capital city of Arunachal Pradesh, India.
• It is located at Hollongi, situated 14 km south from the city centre, in the Papum Pare district.
• The airport is named after Donyi Polo, the supreme deity of the Tani people, the indigenous people of Arunachal Pradesh. The name "Donyi Polo" means "Sun and Moon" in the Tani language.
• In November 2022, the Union Cabinet, chaired by the Prime Minister Narendra Modi, approved the naming of Greenfield Airport at Hollongi, Itanagar as Donyi Polo Airport, Itanagar. (Hence option 4 is correct)

 Additional Information

• Lokpriya Gopinath Bordoloi International Airport:-
• It is an international airport serving Guwahati, the largest city in North-East India in Assam, India.
• It is the 12th busiest airport in India.
• The airport is named after Gopinath Bordoloi, a freedom fighter and the first Chief Minister of Assam after India's independence.

The correct answer is Uttar Pradesh.

Key Points

• 2011 Census of India:-
• C M Chandramauli was the Registrar General and Census Commissioner of India for the 2011 Indian Census.
• Uttar Pradesh is the most populous state with a population of 199,812,341. This makes up 16.51% of the total population of India. (Hence option 3 is correct)
• Maharashtra is the second most populous state in India.
• The sex ratio in the country was is 943 females per 1000 males.
• Haryana has the lowest sex ratio with just 877 women per 1000 males.
• Bihar has the highest population density.
• The overall literacy rate in India is 74% according to the 2011 census.
• Bihar is the least literate state in India, with a literacy of 63.82%.
• Goa was the most urbanized state with 62.17% of the population living in urban areas.

Additional Information

• The top 10 most populous states in India according to the 2011 Census:
• Uttar Pradesh
• Maharashtra
• Bihar
• West Bengal
• Madhya Pradesh
• Tamil Nadu
• Rajasthan
• Karnataka
• Gujarat
• Andhra Pradesh

The correct answer is 28 crores.

Key Points

• e-Shram portal:-
• It is a national database of unorganized workers, which was launched in August 2021.
• It is a one-stop shop for unorganized workers to access information and services related to social security schemes.
• The portal also provides a platform for workers to register themselves and get a Universal Account Number (UAN), which can be used to access various social security schemes.
• As of July 2022, approximately 28.96 crore unorganized sector workers are registered on the e-Shram portal.
• This number is constantly increasing, as the government is encouraging more and more workers to register on the portal.

Additional Information

• Unorganised sector workers:-
• These are those who work in enterprises that are not registered under any law or which employ less than 10 workers.
• They are also known as informal workers. Unorganised sector workers make up the majority of the workforce in India, accounting for over 90% of all employment.

The correct answer is Kerala.

Key Points

• Moplahs:-
• The Moplahs, also known as Mappilas, are a Muslim community indigenous to the Malabar Coast of Kerala, India.
• They are believed to have descended from Arab traders who settled in the region in the 9th century and intermarried with the local population.
• The Moplahs have a distinct culture and language, which is a mix of Malayalam and Arabic.
• They were one of the leading communities in the Malabar Rebellion of 1921, which was a peasant uprising against British colonial rule and the prevailing feudal system.
• The Moplahs have also made significant contributions to the fields of art, literature, and politics.

Additional Information

• Moplah Rebellion of 1921:-
• It​ was the culmination of a series of riots by Moplahs (Muslims of Malabar) in the 19th and early 20th centuries against the British and the Hindu landlords in Malabar (Northern Kerala).
• Most Moplahs were predominantly converted Hindus during Tipu Sultan's capture of Malabar.
• The prominent leaders of the rebellion were Ali Musaliyar and Variyankunnath Kunjahammed Haji.
• In November 1921, 67 Moplah prisoners were killed when they were being transported in a closed freight wagon from Tirur to the Central Prison in Podanur. They died of suffocation. This event is called Wagon Tragedy.

The correct answer is i - d, ii - c, iii - b, iv - a.

Key Points

• Jellyfish:-
• These are gelatinous marine animals with umbrella-shaped bells and trailing tentacles.
• They are members of the phylum Cnidaria, which also includes corals, sea anemones, and hydras.
• Jellyfish are found in all of the world's oceans, from the surface to the deep sea.
• Jellyfish are coelenterates.
• Coelenterates are a phylum of aquatic animals that are characterized by their radially symmetrical bodies, two layers of cells (ectoderm and endoderm), and a gastrovascular cavity (coelenteron).
• Crayfish:-
• It is also known as crawfish, crawdads, mudbugs, or freshwater lobsters, are aquatic crustaceans that live in freshwater habitats such as rivers, streams, lakes, and ponds.
• It belongs to the arthropoda phlyum.
• They are found all over the world except for Antarctica, and there are over 500 species of crayfish known to science.
• Whalefish:-
• They are a family of deep-sea fish that are related to anglerfish and barbeled dragonfish and belongs to mammal.
• They are named for their resemblance to whales, with large heads, gaping mouths, and streamlined bodies.
• Whalefish are found in all the world's oceans, at depths of up to 3,000 meters.
• Devilfish:-
• The devilfish, also known as the giant Pacific octopus, is a cephalopod mollusk native to the northern Pacific Ocean.
• Devil fish belongs to Mollusca.
• It is the largest octopus species in the world, with females growing up to 15 meters (50 feet) in arm span and weighing up to 50 kilograms (110 pounds).

The correct answer is Part IV.

Key Points

• Part IV of the Indian Constitution deals with Directive Principles of our State Policy (DPSP)
• It includes Articles 36-51.
• The provisions contained in this Part cannot be enforced by any court, but these principles are fundamental in the governance of the country and it shall be the duty of the State to apply these principles in making laws.
• The concept of Directive Principles of State Policy was borrowed from the Irish Constitution.
• While most of the Fundamental Rights are negative obligations on the state, DPSPs are positive obligations on the state, though not enforceable in a court of law.

Additional Information

Parts of the Indian Constitution - 

The correct answer is Berar.

Key Points

• Berar Sultanate:-
• It was one of the Deccan sultanates, which was founded by an Indian Muslim.
• It was established in 1490 following the disintegration of the Bahmani Sultanate.
• The Imadshahi family ruled Berar for over a century, until it was conquered by the Mughal Empire in 1595. (Hence option 1 is correct)

Additional Information

• Bidar Sultanate:-
• It is also known as the Barid Shahi dynasty, and was one of the Deccan sultanates of late medieval southern India.
• The sultanate emerged under the rule of Qasim Barid I in 1492 and leadership passed to his sons.
• Ahmednagar Sultanate:-
• It was also known as the Nizam Shahi Sultanate.
• It was a late medieval Indian Muslim kingdom located in the northwestern Deccan, between the sultanates of Gujarat and Bijapur, ruled by the Nizam Shahi or Bahri dynasty.
• Golconda Sultanate:-
• It is also known as the Qutb Shahi dynasty.
• It was a medieval South Indian Muslim sultanate founded in 1518.
• It is located near the city of Hyderabad in the present-day state of Telangana, India.

The correct answer is Janmashtami.

Key Points

• Janmashtami:-
• Janmashtami is a Hindu festival that celebrates the birth of Lord Krishna, the eighth avatar of Vishnu.
• The festival is celebrated on the eighth day of the dark moon in the month of Shravan, which usually falls in August or September.
• The activity of making a human pyramid and putting efforts to break an earthen pot filled with buttermilk is associated with the festival of Janmashtami. (Hence option 2 is correct)

Additional Information

• Dussehra:-
• It is a major Hindu festival celebrated on the tenth day of the month of Ashvin, which usually falls in September or October.
• The festival marks the victory of good over evil, and it is celebrated in different ways across India.
• Mahashivaratri:-
• It is a major Hindu festival dedicated to Lord Shiva.
• It is celebrated on the 14th day of the dark moon in the month of Phalguna, which usually falls in February or March.
• Mahashivaratri is also celebrated as the wedding day of Lord Shiva and Parvati.
• Holi:-
• It is a Hindu spring festival celebrated on the last full moon day of the lunar month Phalguna, which usually falls in late February or early March.
• The festival marks the end of winter and the beginning of spring, and it is a time for people to come together and celebrate the renewal of life.

The correct answer is Megasthenes.

Key Points

• The author of 'Indica' was Megasthenes.
• He was a Greek ambassador sent to the court of Chandragupta Maurya, the founder of the Mauryan Empire, by Seleucus I Nicator.
• Seleucus I Nicator was one of the generals of Alexander the Great who, after Alexander's death, took control of the eastern part of his empire, which included territories in Asia Minor, Persia, and parts of India.
• His work 'Indica' is a significant source of information about India, providing valuable details about its geography, society, and culture during the Mauryan period.

Additional InformationMegasthenes wrote an account of his observations about India in his book named "Indica"..

• Geographical Details: Megasthenes provided an account of India's geography, including its mountains, rivers, flora and fauna, and climatic conditions.
• Description of Society: "Indica" included distinct details about social divisions, including the caste system and occupations of various groups.
• Urban Centers: Megasthenes described the city of Pataliputra (modern Patna), capital of the Maurya empire, in detail. This gave us information about city life, architecture, and administration.
• Administration and Military: The book portrayed the organized administrative structures and gave an account of the Mauryan army, with descriptions of elephants in warfare.
• Customs and Practices: "Indica" included information about contemporary customs, diets, festivals, and religious practices, and reported that India had no slavery.
• Megasthenes also provided an account of Chandragupta Maurya’s reign and wrote about the prosperity and peace within the empire.
• It is important to note that "Indica" had some inaccuracies or exaggerations possibly due to misunderstandings or cultural differences. For example, Megasthenes reported on creatures such as giant ants that dug up gold dust and humans with no mouths, which are widely considered to be based on misunderstandings or myths.

Important Points

The correct answer is Rourkela Steel Plant 

Key Points

• Rourkela Steel Plant:-
• RSP is a public sector, integrated steel plant in Rourkela, Odisha state, India.
• It was established on the 3rd of February 1959 with the help of West German industrial corporations on approximately 19,000 acres of land acquired from tribal inhabitants.
• The plant is operated by the Steel Authority of India (SAIL), a Central PSU.
• RSP was the first integrated steel plant in the public sector in India and is one of the largest steel plants in the country. (Hence option 2 is correct).
• It has a production capacity of 4.5 million tonnes of Hot Metal, 4.2 million tonnes of Crude Steel and 3.9 million tonnes of Saleable Steel.

Additional Information

• Indian Iron and Steel Company"-
• IISCO is an integrated steel plant located at Burnpur, West Bengal, India.
• It is a subsidiary of the Steel Authority of India Limited (SAIL), the largest steel producer in India.
• IISCO has a crude steel production capacity of 2.5 million tonnes per year.
• Salem Steel Plant:-
• SSP is a steel plant located in the city of Salem, Tamil Nadu, India.
• It is a unit of the Steel Authority of India Limited (SAIL), the largest steel producer in India.
• SSP is a pioneer in the production of stainless steel in India.
• Visvesvaraya Iron and Steel Limited:-
• VISL is a steel plant located in the city of Bhadravathi, Karnataka, India.
• It is a subsidiary of the Steel Authority of India Limited (SAIL), the largest steel producer in India.
• VISL is a pioneer in the production of high quality alloy & special steels and pig iron.

The correct answer is For teaching and propagating Kathak globally  

Key Points

• Kamalini Asthana and Nalini Asthana are a sister duo from Agra in Uttar Pradesh known for their great performances of the Banaras Gharana style of Kathak.
• They are also known for their contributions to the popularisation of the Benaras Gharana style of Kathak both in India and abroad.
• In 2022, Govt of India conferred the Padma Shri award, the third highest award in the Padma series of awards, on Kamalini Asthana and Nalini Asthana for teaching and propagating Kathak globally.
• The award is in recognition of his service as an "Acclaimed Kathak Dancer Duo from Agra known for teaching and propagating it globally.

The correct answer is Gross investment 

Key Points

• Gross investment:-
• It is the total expenditure on new capital goods during a period of time.
• It includes investment in both fixed assets, such as machinery and equipment, and inventory.
• Gross investment is an important component of economic growth, as it increases the productive capacity of the economy.
• Net Investment plus Depreciation gives an estimate of Gross investment.
• Gross investment can be divided into two categories: public investment and private investment.
• Public investment is an investment made by the government, such as on infrastructure projects.
• Private investment is investment made by businesses, such as on new factories and equipment.

Additional Information

• Personal income:-
• It is the total amount of money that an individual or household receives in a given period of time, typically a year.
• It includes all forms of income, such as wages, salaries, bonuses, commissions, investment income, rental income, and government benefits.
• Personal income is often used as a measure of an individual's or household's financial well-being.
• Gross domestic product:-
• GDP is the total monetary or market value of all the finished goods and services made within a country during a specific period.
• As a broad measure of overall domestic production, it functions as a comprehensive scorecard of a given country's economic health.

The correct answer is Alla Rakha. 

Key Points

• Alla Rakha:-
• He is also known as A.R. Qureshi, was born in 1919 in Phagwal, Jammu, India.
• He was a renowned tabla player of the Punjab gharana (community of musicians sharing a distinctive musical style).
• He was also a devoted teacher and founded the Alla Rakha Institute of Music in Bombay in 1985.
• The Indian classical tabla player who was called ‘Abbaji’ and collaborated with American jazz drummer Buddy Rich to create a music album in 1968 is Alla Rakha.
• Rakha is best known for his collaboration with sitar virtuoso Ravi Shankar in the 1960s and '70s. The duo toured extensively and helped to popularize Indian classical music in the West.

Additional Information

• Taufiq Qureshi:-
• Taufiq Qureshi is an Indian classical musician and percussionist.
• He is the son of the legendary tabla player Alla Rakha and the younger brother of Zakir Hussain, who is also a renowned tabla player.
• Zakir Hussain:-
• Zakir Hussain is an Indian tabla player, composer, educator, and producer.
• He is widely regarded as "one of the world's greatest tabla players."
• Fazal Qureshi:-
• He is an Indian tabla player and the son of the legendary tabla maestro Ustad Allah Rakha.
• He was born in Mumbai, India, in 1963 and began learning the tabla from his father at a young age.
• He also studied under other renowned tabla players, including Ustad Zakir Hussain and Ustad Aashish Khan.

The correct answer is 8 cheetahs.

Key Points

• Action plan for the introduction of the Cheetah in India:-
• The first phase of the ‘action plan for the introduction of the Cheetah in India’ witnessed 8 cheetahs being released in the Kuno National Park of Madhya Pradesh in September 2022.
• These cheetahs were brought from Namibia, and their release marked a historic moment for India, as the cheetah had been declared extinct in the country in 1952.
• The reintroduction of the cheetah is a significant conservation effort, and it is hoped that the cheetahs will thrive in Kuno National Park and eventually repopulate their historic range in India.

The correct answer is cosmic radiation. 

Key Points

• Cosmic Radiation:-
• These are high-energy particles that travel through space and bombard Earth's atmosphere.
• They were discovered by Victor Franz Hess in 1912, when he made a series of balloon ascents to measure the ionization of the atmosphere at different altitudes. (Hence option 1 is correct).
• He found that the ionization increased with altitude, even though the atmosphere becomes less dense at higher altitudes.
• This led him to conclude that there must be a source of radiation coming from outside the atmosphere.

Additional Information

• Quantum statistics:-
• It is the application of statistical mechanics to quantum mechanical systems.
• It describes the behavior of large ensembles of identical quantum particles, taking into account the restrictions imposed by quantum mechanics, such as the Pauli exclusion principle and the wave-like nature of matter.
• Expanding universe:-
• It is one of the most important discoveries in modern physics.
• It was first proposed by Edwin Hubble in the 1920s, and it has since been confirmed by many other observations.
• Theory of Superconductivity:-
• It is a microscopic theory that explains the phenomenon of superconductivity.
• Superconductivity is the ability of certain materials to conduct electricity without resistance and to expel magnetic fields below a certain critical temperature.

The correct answer is Guls.

Key Points

• Guls:-
• Guls are diversion channels that are built along the contours of hillsides to collect and transport water from streams and springs to villages and agricultural fields.
• The most common water harvesting system in the Western Himalayas is the gul, also known as a kul.
• Guls are typically made of stone or earth and are lined with clay or plastic to prevent leakage.
• They can be several kilometers long and may have several branches to distribute water to different areas.

 Additional Information

• Johads:-
• These are traditional rainwater harvesting systems that are practiced in the states of Haryana, Rajasthan, Punjab, and western Uttar Pradesh of North India.
• Johads are community-owned and managed, and they are used to store rainwater throughout the year.
• Khadins:-
• These are traditional rainwater harvesting systems that are practiced in the Thar Desert region of India, particularly in the Jaisalmer district of Rajasthan.
• Khadins are also known as dhoras.

The correct answer is Karnataka

 Key Points

• 2022 Santosh Trophy:-
• It was the 76th edition of the Santosh Trophy, the premier competition in India for teams representing their regional and state football associations.
• The tournament was held from 23 December 2022 to 4 March 2023, with the final being played at the King Fahd Stadium in Riyadh, Saudi Arabia.
• The tournament was contested by a total of 36 teams, which were divided into six groups of six teams each.
• Karnataka won the 2022 Santosh Trophy, defeating Meghalaya in the final with 3-2 scoreline.

The correct answer is A, B and C only.

Key Points

State Legislative Council:-

• It is​ referred to as Vidhan Parishad, is the upper house in those states of India that have a bicameral state legislature whereas the lower house is the State Legislative Assembly.
• There are 6 states that have a State Legislative Council. These are Andhra Pradesh, Karnataka, Telangana, Maharashtra, Bihar, and Uttar Pradesh.
• The size of the State Legislative Council cannot be more than one-third of the members of the State Legislative Assembly. But,the minimum number of members cannot be less than 40 members. (Hence A and B are correct)
• Compositions- 
• One third of member of the council are elected by the members of local bodies such as municipalities, Gram panchayats, Panchayat samitis and district councils.
• One third of member are elected by the members of Legislative Assembly of the State from among the persons who are not members of the State Legislative Assembly.
• One sixth member are nominated by the Governor from the persons having knowledge or practical experience in fields such as literature, science, arts, the cooperative movement and social services.
• One twelfth member are elected by persons who are graduates of three years' standing as residents of that state.
• One twelfth member are elected by teachers who had at least three years of experience in teaching in educational institutions within the state not below secondary schools, including colleges and universities.

The correct answer is 138th Session held in Tokyo.

Key Points

• 138th Session held in Tokyo:- 
• Brisbane was voted to host the 2032 Olympics and Paralympics at the 138th IOC Session on 21 July 2021 in Tokyo, Japan.
• Following changes in the bidding rules, the International Olympic Committee selected and announced Brisbane as the winning bid on 21 July 2021, two days before the start of the 2020 Summer Olympics.
• Brisbane was first announced as the preferred bid on 24 February 2021, gaining the formal approval of the IOC Executive Board on 10 June 2021.
• Brisbane became the first host city to be selected to host the Olympics through the new bid process.
• The 138th IOC Session was held under strict COVID-19 restrictions, and the vote was held in a secret ballot. Brisbane received 72 yes and 5 no votes from 77 valid votes.

Additional Information

• 140th Session of the International Olympic Committee:-
• It will be held in Mumbai, India from October 15 to 17, 2023.
• This will be the second time that India has hosted an IOC Session, the first being in New Delhi in 1983.
• 139th Session of the International Olympic Committee:-
• It was held in Beijing, China on February 3 and 19, 2022 and in Lausanne, Switzerland on May 20, 2022.
• The Session was held just ahead of the 2022 Winter Olympic Games in Beijing.
• The Session was attended by IOC members from all over the world, and it covered a wide range of topics, including the following:
• 137th IOC Session:-
• It was held in Lausanne, Switzerland from March 10 to 12, 2021.
• The Session was held virtually due to the COVID-19 pandemic.

The correct answer is June 1798.

 Key Points

• Henry Cavendish:-
• He was a brilliant scientist who made significant contributions to chemistry and physics.
• He discovered hydrogen in 1766 and measured the gravitational constant in 1798.
• His work on the gravitational constant was particularly important, as it provided the first accurate measurement of the force of gravity between masses in the laboratory.
• He reported the measurement of the gravitational constant with the mass and density of the Earth in June 1798. His results were published in a 57-page paper in the Transactions of the Royal Society entitled “Experiments to Determine the Density of the Earth.”
• Cavendish's experiment was the first to measure the force of gravity between masses in the laboratory and the first to yield accurate values for the gravitational constant. He used a torsion balance to measure the tiny gravitational attraction between two small lead balls and two much larger stationary lead balls.
• Cavendish's results were surprisingly accurate, and they remained the best available measurement of the gravitational constant for over a century. His experiment is considered to be one of the most important and influential experiments in the history of physics.

The correct answer is Only A and C

Key Points

• Green Revolution:-
• ​The Green Revolution was started in the period 1960s.
• It commenced in India in the year 1966 under the premiership of Congress leader Lal Bahadur Shastri.
• It is also known as the Third Agricultural Revolution.
• In India, Dr. M.S Swaminathan is known as the Father of the Green Revolution.
• Green Revolution is related to the increase in the production of Foodgrains, especially rice and wheat. (Hence A is correct)
• It leads to an increase in the production of food grains in the Indian states of Uttar Pradesh, Haryana, and Punjab.
• The Green Revolution did not lead to a shift away from commercial farming. In fact, it helped to make commercial farming more efficient and profitable. (Hence B is incorrect)
• It also resulted in a rise in acreage. (Hence C is also correct).

The correct answer is Padma Vibhushan.

 Key Points

• Pandit Birju Maharaj:-
• He was a renowned Indian Kathak dancer, composer, singer, and artist.
• He was a leading exponent of the Lucknow Kalka-Bindadin Gharana of Kathak dance in India.
• Birju Maharaj made several important contributions to the field of Kathak dance.
• He refined the technique and style of the dance, and he helped to popularize Kathak dance to a wider audience.
• He also choreographed several dance dramas that used Kathak dance as a form of storytelling.
• Birju Maharaj was honored with several awards for his work, including the Sangeet Natak Akademi Award (1964), Padma Shri, Padma Bhushan, and Padma Vibhushan (1986).

Shortcut Trick

For a number to be divisible by 18, it must be even and the sum of its digits must be divisible by 9.

Sum of digits of 7823326867X = 7 + 8 + 2 + 3 + 3 + 2 + 6 + 8 + 6 + 7 + X = 52 + X.

The nearest multiple of 9 greater than 52 is 54.

Equating: 52 + X = 54 ⇒ X = 2.

Since 2 is even, both conditions are satisfied.

∴ The correct answer is 2.

Alternate Method

Given: The 11-digit number is 7823326867X and it is divisible by 18.

Divisibility Rule of 18: A number is divisible by 18 if it is divisible by both its co-prime factors, 2 and 9.

⇒ Condition 1: The number must be divisible by 2, which means the last digit X must be an even number (0, 2, 4, 6, or 8).

⇒ Condition 2: The number must be divisible by 9, which means the sum of its digits must be a multiple of 9.

⇒ Sum of digits = 7 + 8 + 2 + 3 + 3 + 2 + 6 + 8 + 6 + 7 + X

⇒ Sum = 52 + X

⇒ For (52 + X) to be divisible by 9, we check possible values of X from the options:

⇒ If X = 6, Sum = 52 + 6 = 58 (Not divisible by 9)

⇒ If X = 4, Sum = 52 + 4 = 56 (Not divisible by 9)

⇒ If X = 8, Sum = 52 + 8 = 60 (Not divisible by 9)

⇒ If X = 2, Sum = 52 + 2 = 54 (Divisible by 9, as 9 × 6 = 54)

⇒ Since X = 2 is even, it also satisfies the divisibility rule for 2.

∴ The correct answer is 2.

Additional Information

Divisibility Rule of 9

A number is divisible by 9 if the sum of all its digits is exactly divisible by 9.

Divisibility Rule of 2

A number is divisible by 2 if its last digit is 0, 2, 4, 6, or 8.

Composite Divisibility

To check divisibility by a composite number n, the number must be divisible by the co-prime factors of n (e.g., for 12, check 3 and 4; for 15, check 3 and 5).

Given : 

(N +18) persons, each working for 7.5 hours a day, can complete 48% of a work in 20 days.

(N + 12) persons can complete the remaining work in 30 days, if each of them works for 6.5 hours per day.

Calculation : 

⇒ (N + 18) × 7.5 × 20/48 = (N + 12) × 30 × 6.5/52

⇒ (N + 18) × 7800 = (N + 12) × 9360

⇒ (N + 18) × 780 = (N + 12) × 936

⇒ 780 N + 14040 = 936N + 11232

⇒ 156N = 2808

⇒ N = 2808/156 = 18

∴ The correct answer is 18.

Given : 

Mohit can complete $\frac{2}{3}$rd of a work in 24 days.

Calculation : 

Let the time taken be x,

According to question,

⇒ M × 24/2/3 = M × x/1/9

⇒ M × 24 × 3/2 = M × x × 9

⇒ 24 × 3/2 = x × 9

⇒ 12 × 3 = x × 9

⇒ x = 4 days

∴ The correct answer is 4 days.

Concept used:

• If (x + 1/x) = a then (x - 1/x) = √(a² - 4)

• If x + 1/x = a, then (x³ + 1/x³) = a³ - 3a

• If x - 1/x = a, then (x³ - 1/x³) = a³ + 3a

Calculation:

$\rm \left(x+\frac{1}{x}\right)=2√2$, then  (x - 1/x) = √(8 - 4) = 2

$\rm \left(x^6-\frac{1}{x^6}\right)$

⇒ (x³)² - (1/x³)²

⇒ (x³ + 1/x³) (x³ - 1/x³)

⇒ [(2√2)³ - 3(2√2)] [2³ + 3 × 2]

⇒ [16√2 - 6√2] × 14

⇒ 10√2 × 14

⇒ 140√2

∴ The correct answer is 140√2

Calculation:

$\rm \frac{\sin x-\cos x}{\sin x+\cos x}=\frac{2}{5}$

⇒ $\rm \frac{\sin x+\cos x}{\sin x-\cos x}=\frac{5}{2}$ 

Applying C & D rule, we get

⇒ $\rm \frac{\sin x}{\cos x}=\frac{5 + 2}{5 -2}$ 

⇒ tan x = 7/3

⇒ cot x = 3/7

Now, the value of

 $\rm \frac{1+\cot^2x}{1-\cot^2x}$

⇒ $\rm \frac{1+(\frac{3}{7})^2}{1-(\frac{3}{7})^2}$ 

⇒ 58/40

⇒ 1.45

∴ The correct answer is 1.45

Calculation : 

⇒ 100% = 50000 kg

⇒ 1 % = 500 kg

⇒ Difference = 31.07% - 8.11% = 22.96%

⇒ 22.96 × 500 = 11480

∴ The correct answer is 11480.

Formula Used : 

a³ + b³ = (a + b)(a² + b² - ab)

Calculation : 

⇒ $\frac{432× 432+247× 247-432× 247}{432× 432× 432+247× 247× 247}$

⇒ $\frac{(432)^2 + (247)^2 - 432 × 247}{(432)^3 + (247)^3}$

⇒ $\frac{[(432)^2 + (247)^2 - 432 × 247]}{[(432) + (247)](432^2 + 247^2 - 432 \times 247)}$

⇒ $\frac{1}{432 + 247}$

⇒ $\frac{1}{679}$

∴ The correct answer is 1/679.

Calculation : 

⇒ $\rm \frac{3a+b}{2}-\frac{a-3b}{3}+2b$

⇒ $\frac{3(3a + b) - 2(a - 3b) + 12b}{6}$

⇒ $\frac{9a + 3b - 2a + 6b + 12b}{6}$

⇒ $\frac{7a + 21b}{6}$

⇒ $\frac{7(a + 3b)}{6}$

∴ The correct answer is option 3.

Shortcut Trick

New Quotient = (New Dividend % ÷ New Divisor %) × Original Quotient

New Quotient = [(100% − 10%) ÷ (100% − 20%)] × 24

New Quotient = (90% ÷ 80%) × 24

New Quotient = (9 ÷ 8) × 24 = 27

∴ The correct answer is 27.

Alternate Method

Given:

Original Quotient = 24

Original Remainder = 0

New Dividend is 10% less than the Original Dividend.

New Divisor is 20% less than the Original Divisor.

Formula Used:

Dividend = (Divisor × Quotient) + Remainder

Calculations:

⇒ Let the Original Dividend be D and the Original Divisor be d.

⇒ D = (d × 24) + 0

⇒ D ÷ d = 24

⇒ New Dividend = D − (10% of D) = 0.9D

⇒ New Divisor = d − (20% of d) = 0.8d

⇒ New Quotient = New Dividend ÷ New Divisor

⇒ New Quotient = 0.9D ÷ 0.8d

⇒ New Quotient = (0.9 ÷ 0.8) × (D ÷ d)

⇒ Substitute D ÷ d = 24:

⇒ New Quotient = (9 ÷ 8) × 24

⇒ New Quotient = 9 × 3 = 27

∴ The correct answer is 27.

Additional Information

Division Algorithm

The foundational rule of division states that Dividend = (Divisor × Quotient) + Remainder. When the remainder is exactly zero, the dividend is a perfect multiple of the divisor.

Percentage Change in Fractions

If the numerator of a fraction changes by x% and the denominator changes by y%, the resulting fraction becomes [(100 ± x) ÷ (100 ± y)] × Original Fraction.

Base Change

When any given quantity is decreased by R%, the remaining quantity is computed directly as (100 − R)% of its original value. For example, a 10% decrease perfectly leaves 90% of the original value.

Formula Used : 

Speed = Distance/Time

Calculation : 

v = x/t

⇒ Speed = 2.5x/0.75t 

⇒ 25/10 × 100/75 × x/t

⇒ 250/75 × x/t

By putting v = x/t

⇒ 10v/3

∴ The correct answer is 10v/3.

Calculation:

The speed of Mohan = 1170/90 = 13 m/s

Raman reaches the final point in 65 seconds, so Mohan covers in 65 sec is = (65 × 13) = 845 m

So, the distance by which Raman beats Mohan = 1170 m – 845 m = 325 m 

∴ The correct answer is 325 m

Given : 

A can do work in 3 hours.

B can do work in 6 hours.

Formula Used : 

Work done = time × efficiency

Calculation : 

Total work = LCM(3, 6) = 6 

Efficiency of A = 2

Efficiency of B = 1

Since they work on alternate days starting with A,

So,

⇒ 2 hours = 3 units 

Now to complete 6 units of work 

⇒ 2 × 2 hours = 3 × 2 units

⇒ 4 hours = 6 units

∴ The correct answer is 4 hours.

Given : 

m($\rm \overline{AP}$) = 200 mm, m($\rm \overline{AB}$) = 120 mm, and m($\rm \overline{CP}$) = 160 mm

Calculation : 

Let the length of CD be x.

⇒ AP × BP = CP × DP

⇒ 200 × 80 = 160 × (160 -x)

⇒ 16000 = 160 × (160 -x)

⇒ 16000 = 25600 - 160x

⇒ x = 9600/160

⇒ x = 60 mm

∴ The correct answer is 60 mm.

Calculation:

According to the given picture, O₁ and O₂ be the centres of the two circles,

The line joining the centers O₁O₂ bisect PQ at R

So, the ΔPRO₁ is a right-angle triangle, right angle at ∠R

From Pythagoras theorem,

O₁R = √(6² - 5²)

⇒ O1R = √11

Now, distance between O₁ and O₂ is 2 × O1R = 2√11 cm

∴ The correct answer is 2√11 cm

Formula Used : 

Sin²θ + Cos²θ = 1

Calculation : 

⇒ (sin θ + cos θ)2 + (sin θ - cos θ)2

⇒ sin²θ + cos²θ + 2sinθcosθ + sin2θ + cos2θ - 2sinθcosθ 

⇒ 2(sin²θ + cos²θ)

⇒ 2

∴ The correct answer is 2.

Given : 

A grocer claims that he is selling sugar at Rs. 48/kg, which costs him Rs. 50/kg.

He is giving 900 g instead of 1000 g.

Calculation : 

According to question,

⇒ 48/50 × 1000/900

⇒ 480/(50 × 9)

⇒ 480/450

Percentage Profit = 3/45 × 100 = 100/15 = 6.66% ≈ 6.7%

∴ The correct answer is 6.7%.

Calculation : 

By going through options,

⇒ 8840/36 = 245.55

⇒ 1542/36 = 42.833

⇒ 96272/36 = 2674.22

⇒ 55512/36 = 1542

We can see out of 4 options only fourth option is divisible by 36.

∴ The correct answer is 55512.

Given : 

Diameter = 7 cm

Central Angle = 108° 

Formula Used :

Length of the Arc = θ/360° × 2πr

Calculation : 

Length of arc = 108° /360° × 2 × 22/7 × 7/2

⇒ 2 × 11 × 108°/360° 

⇒ 2 × 11 × 12/40

⇒ 11 × 3/5

⇒ 33/5 = 6.6 cm

∴ The correct answer is 6.6 cm.

Given :

Principal = Rs.6000

Time = 21months

Rate = 8% per annum

Formula Used : 

SI = (P × R × T)/100

Calculation : 

⇒ SI = 6000 × 21 × 8/(100 × 12)

⇒ 60 × 21 × 8/12

⇒ 5 × 21 × 8 

⇒ 40 × 21

⇒ 840

∴ The correct answer is 840.

Given :

A = k(B + 18), A = 108, B = 36

Calculation : 

⇒ A = k(B + 18)

⇒ 108 = k(36 + 18)

⇒ k = 108/54 = 2

A = 2 × (68 + 18)

⇒ 2 × 86 = 172

∴ The correct answer is 172.

Given : 

Radius = 7 m 

Height = 24 m

Space occupied by the rice in each bag is 2 m3.

Formula Used : 

Volume = 1/3πr²h

Calculation : 

Volume = 

⇒ 1/3 × 22/7 × 7 × 7 × 24 = n × 2

⇒ 22 × 7 × 8 = 2 × n 

⇒ n = 11 × 7 × 8 

⇒ n = 616

∴ The correct answer is 616.

Calculation : 

A = (84 + 71 + 95)/3 = 250/3 = 83.33

B = (93 + 76 + 101)/3 = 270/3 = 90

C = (99 + 79 + 71)/3 = 249/3 = 83

D = (80 + 90 + 94)/3 = 264/3 = 88

E = (88 + 93 + 90)/3 = 271/3 = 90.33

∴ The correct answer is 90.33.

Given : 

A man drives his car for 24 km at a speed of 48 km/h.

Next 1.5 hours he drives at a speed of 80 km/h. 

Formula Used : 

Average Speed = Total distance travelled/Total time taken

Calculation : 

Time taken for 24 km = 24/48 = 0.5 hours

Distance covered in 1.5 hours = 80 × 1.5 = 120 km

Average Speed = 120 + 24/(1.5 + 0.5)

⇒ 144/2 = 72 km/hr

∴ The correct answer is 72 km/hr.

Calculation :

⇒ $\frac{cosA(1 + sinA) + cosA(1 - sinA)}{{(1 + sinA)}{(1 -sinA)}}$ = 4

⇒ $\frac{cosA + cosA.sinA + cosA - cosAsinA}{{(1 - sinA)}{(1 + sinA)}}$ = 4

⇒ 2/cosA = 4

⇒ cosA = 1/2

⇒ A = 60° 

∴ The correct answer is 60°.

Given : 

CP = Rs.9000

Discount = 10%

Profit = 10%

Calculation : 

By going through ratio method,

Now by making SP same

CP = 90 unit = 9000

⇒ 1 unit = 100

MP = 110 unit × 100 = 11000

∴ The correct answer is 11000.

The correct answer is 'The rider who met with the accident was not wearing a helmet, the police said.'

Key Points

• The sentence uses proper grammar and structure.
• It correctly includes the definite article "the" before both "accident" and "police."
• This usage indicates specificity, referring to a particular accident and a particular group of police officers.
• The sentence is clear and precise in conveying the information about the rider, the accident, and the absence of a helmet.
• The overall structure of the sentence ensures grammatical correctness and effective communication.
• Proper usage of articles is crucial for grammatical accuracy and clarity in conveying specific information.

Therefore, the correct answer is 'Option 4.'

Additional Information

• Option 1: Incorrect due to missing articles before "accident" and "police," affecting the specificity of the statement.
• Option 2: Incorrect due to the incorrect article "an" before "helmet"; it should be "a" helmet.
• Option 3: Incorrect due to the incorrect use of "an" before "police"; it should be "the" police.

The correct answer is Option no. (1)- Fluency of speech.

 Key Points

• The idiom "gift of the gab" refers to the ability to speak fluently and persuasively. - It is often used to describe someone who is skilled at public speaking or persuasive communication. - The word "gift" in this context refers to a natural talent or ability, rather than a physical present. - The phrase likely originated in Ireland, where "gab" is a slang term for talk or conversation.

 Additional Information

• Option 2 - Freedom of speech - This phrase refers to the legal right to express one's opinions without censorship or restraint by the government or other authorities. -
• Option 3 - First speech - This phrase does not have a specific idiomatic meaning and is not related to the given idiom. -
• Option 4 - Figures of speech - This phrase refers to rhetorical devices or literary techniques used to create vivid or expressive language, such as metaphors, similes, or hyperbole.

The correct answer is Option no. (2) 'cite'.

 Key Points

• 'Cite' means to quote or refer to (a passage, book, or author) as evidence or justification for an argument or statement.
• In the given sentence, the speaker is talking about mentioning some figures for comparison, which fits the meaning of 'cite'.(उल्लेख करना)

Therefore the correct answer is option no.(2)

 Additional Information

• The other options have different meanings: -
• 'Cete' is not a commonly used word in English and does not fit the context.
• 'Site' refers to a location or place.(कार्य स्थल)
• 'Sight' refers to the ability to see or a view.(दृष्टि)

The erroneous part is: and don't finish till 3 p.m.

 Key Points

• According to the rules of sub-verb agreement, singular subjects take singular verbs and plural subjects take plural verbs.
• The subject and verb must agree in number: both must be singular, or both must be plural.
• In the question, the subject of the sentence "physics class" is actually singular (as it refers to one class), but the verb "don't" is a contraction of "do not," which is plural.
• Hence, there is a mismatch in the subject-verb agreement. With a singular subject "physics class," the verb also has to be in its singular form.
• The correct form would be "doesn't," the contraction of "does not."

So, the corrected sentence would be: "I'm sorry, my physics class will start at 1 p.m. and doesn't finish till 3 p.m."

The correct answer is Option no. (1) 'Tiresome'.

Key Points

• The word 'Tedious' means too long, slow, or dull; tiresome or monotonous.(थकाऊ)
• Example:-  The journey was too much tedious.
• The word 'Tiresome' means causing one to feel bored or annoyed. (थकाने वाला)
• Example:- Weeding is a tiresome but essential job.

As both the words Tiresome and Tedious are similar in meaning.

Therefore,the correct answer is option no.(1)

Additional Information

• Other options are:
• Wholesome- conducive to or suggestive of good health and physical well-being.(लाभदायक)
• Repetitive- containing or characterized by repetition, especially when unnecessary or tiresome.(दुहराना/दुहराया हुआ)
• Threescore- being three times twenty;sixty.(साठ)

The correct answer is Option no. (2) 'agitate'.

 Key Points

• Antonym of "calm down" is "agitate." - "Agitate" means to make someone feel anxious or troubled.
• The word 'Calm down' means become quiet or calm, especially after a state of agitation. 
• Example: Instead of calming down, the news agitated him even more.
• As both the words calm down (शांत) and agitate (परेशान) are opposite in meaning.

Therefore, the correct answer is option no.(2)

Additional Information

• Option 1: "Understand" (समझना) is not an antonym of "calm down" and does not make sense in the given sentence.
• Option 3: "Question"(प्रश्न) is not an antonym of "calm down" and does not make sense in the given sentence.
• Option 4: "Dissipate"(गायब होना) means to disperse or disappear.