SSC CGL 2023 Tier-I Official Paper (Held On: 26 Jul 2023 Shift 2) (Previous Year Paper)

The logic followed here is :-

• CNY : GRC

and

• FRL : JVP

Similarly,

• ITK : ?

Hence, the correct answer is "MXO".

The logic followed here is :-

• QIN : XPU

and

• DSY : KZF

Similarly,

• ALM : ?

Hence, the correct answer is "HST".

Hence, the correct answer is "Option 3".

Given :- C ___ ___ UP ____ EX ____ PC ____ XU ___ ___ E ___ UP

By checking options and substituting accordingly.

1) EXCUPEXC → C E X U P - C E X U P - C P X U E - X E C U P

2) EXCUEPCX → C E X U P - C E X U P - C E X U P - C E X U P

• Here, 'CEXUP' is repeated.

3) EXUECPCX → C E X U P - U E X E P - C C X U P - C E X U P

4) XECUEPCX → C X E U P - C E X U P - C E X U P - C E X U P

• Option (2) gives the pattern of :- C E X U P - C E X U P - C E X U P - C E X U P

Hence, the correct answer is "EXCUEPCX".

The logic followed here is :-

(First number × Second number) × 2

• (9, 18, 324) → (9 × 18) × 2 = 162 × 2 = 324

and

• (14, 11, 308) → (14 × 11) × 2 = 154 × 2 = 308

Similarly,

• (7, 12, 168) → (7 × 12) × 2 = 84 × 2 = 168

Hence, the correct answer is "(7, 12, 168)".

Given: 2 : 9 :: 6 : 121 :: 5 : ?

The logic followed here is:

Logic: Second number : (2 × First number - 1)²

For, 2 : 9

2 : (4 -1)²

2 : (3)²

2 : 9.

For, 6 : 121

6 : (12 -1)²

6 : (11)²

6 : 121.

Similarly, 5 : ?

5 : (10 - 1)²

5 : (9)²

5 : 81.

Here, 5 : 81 is the correct pair.

Hence, the correct answer is 'Option 1'.

Mistake PointsThe question is asking to find the NOT related pair, so you also need to find the wrong option.

The logic followed here is: (First Number + Second Number = Third Number)

Now, 

For, (8, 13, 21)

8 + 13 = 21

(13, 18, 31) 

13 + 18 = 31

Let's Check each Option One by One:

Option 1) (14, 19, 33)

14 + 19 = 33

(Option 2) (8, 3, 11)

8 + 3 = 11

Option 3) (11, 16, 29)

11 + 16 = 27 ≠ 29

Option 4) (17, 12, 29)

17 + 12 = 29.

So, (11, 16, 29) does not follow the logic.

Hence, the correct answer is 'Option 3'.

The logic followed here is :-

"MELODY" is written as "LEMYDO".

and

"PURPLE" is written as "RUPELP".

Similarly,

"CLAUSE" will be written as :

Hence, the correct answer is "ALCESU".

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

5. Accepted
6. Accessary
7. Accident 
8. Acclaimed
9. Accompany
10. Accuracy

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

Preparing the family tree using the following symbol:

Family Tree :-

∴ Here, 'Samuel' is Husband's Brother's Son to the woman in the picture.

Hence, the correct answer is "Husband's Brother's Son".

The logic followed here is :-

1) EIJN

2) DHIM

3) BDFH

4) CGHL

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

Hence, the correct answer is "BDFH".

The logic followed here is :-

By using BODMAS RULE :

Option 1) : ×, +, -, ÷, =

Given equation : 45 * 86 * 23 * 36 * 18 * 2021

After inserting the mathematical operators in given equation the equation is as follows : 45 × 86 + 23 - 36 ÷ 18 = 2021

⇒ 45 × 86 + 23 - 36 ÷ 18 = 2021

⇒ 45 × 86 + 23 - 2 = 2021

⇒ 3870 + 23 - 2 = 2021

⇒ 3893 - 2 = 2021

⇒ 3891 ≠ 2021

LHS ≠ RHS

Option 2) : +, -, ×, ÷, =

Given equation : 45 * 86 * 23 * 36 * 18 * 2021

After inserting the mathematical operators in given equation the equation is as follows : 45 + 86 - 23 × 36 ÷ 18 = 2021

⇒ 45 + 86 - 23 × 36 ÷ 18 = 2021

⇒ 45 + 86 - 23 × 2 = 2021

⇒ 45 + 86 - 46 = 2021

⇒ 131 - 46 = 2021

⇒ 85 ≠ 2021

LHS ≠ RHS

Option 3) : -, ×, +, ÷, =

Given equation : 45 * 86 * 23 * 36 * 18 * 2021

After inserting the mathematical operators in given equation the equation is as follows : 45 - 86 × 23 + 36 ÷ 18 = 2021

⇒ 45 - 86 × 23 + 36 ÷ 18 = 2021

⇒ 45 - 86 × 23 + 2 = 2021

⇒ 45 - 1978 + 2 = 2021

⇒ 47 - 1978 = 2021

⇒ 1931 ≠ 2021

LHS ≠ RHS

Option 4) : +, ×, -, ÷, =

Given equation : 45 * 86 * 23 * 36 * 18 * 2021

After inserting the mathematical operators in given equation the equation is as follows : 45 + 86 × 23 - 36 ÷ 18 = 2021

⇒ 45 + 86 × 23 - 36 ÷ 18 = 2021

⇒ 45 + 86 × 23 - 2 = 2021

⇒ 45 + 1978 - 2 = 2021

⇒ 2023 - 2 = 2021

⇒ 2021 = 2021

LHS = RHS

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

The logic followed here is :-

Hence, the correct answer is "240".

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

Conclusions :

I. Some satellites are moons → True (As Some moons are suns and All suns are satellites so, Some satellites are moons is true)

II. Some satellites are stars → False (As  All stars are moons and Some moons are suns and All suns are satellites so, Some satellites are stars is false)

III. Some moons are stars → True (As All stars are moons so, Some moons are stars is true)

∴ Here, Conclusions I and III are true.

Hence, the correct answer is "Both conclusions I and III follow".

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

Detailed Explanation:

• The line PQ is the mirror.
• The word 'FGHTKD' ends with last second letter 'K'. So, the mirror image should be '

' ⇒ Option 2 and 3 are eliminated.

• The word 'FGHTKD' ends with last third letter as 'T'. So, the mirror image will be '

' ⇒ Option 4 is eliminated.

Hence, the correct answer is "Option 1".

The logic followed here is :-

Sum of opposite alphabetical positional value of given word + 6.

'EACH' is written as '97'.

= (22 + 26 + 24 + 19) + 6

= 91 + 6

= 97

and

'EASY' is written as '64'.

= (22 + 26 + 8 + 2) + 6

= 58 + 6

= 64

Similarly,

'ECHO' will be written as :

= (22 + 24 + 19 + 12) + 6

= 77 + 6

= 83

Hence, the correct answer is "83".

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 'HJQ6RyE' starts with letter 'H'. So, the mirror image of the letter should start with 'H' ⇒ Option 1 is eliminated.
• The word 'HJQ6RyE' second letter is 'J'. So, the mirror image of the letter is '

' ⇒ Option 2 is eliminated.

• The word 'HJQ6RyE' third letter is 'Q'. So, the mirror image of letter is '

' ⇒ Option 3 is eliminated.

Hence, the correct answer is "Option 4".

The logic followed here is :-

(First number + Second number) + 3

• (47, 11, 61) → (47 + 11) + 3 = 58 + 3 = 61

and

• (13, 68, 84) → (13 + 68) + 3 = 81 + 3 = 84

Similarly,

• (52, 88, 143) → (52 + 88) + 3 = 140 + 3 = 143

Hence, the correct answer is "143".

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

Hence, the correct answer is "Option 1".

The logic followed here is :-

First number² + Second number² = Third number

• (2, 9, 85) → 2² + 9² = 4 + 81 = 85

and

• (3, 9, 90) → 3² + 9² = 9 + 81 = 90

Similarly,

• (7, 9, 130) → 7² + 9² = 49 + 81 = 13

Hence, the correct answer is "(7, 9, 130)".

The logic followed here is :-

• SCOOTER : SGWSTIZ

and

• AEROPLANE : FPDPUUYMJ

Similarly,

• HELICOPTER : ?

Hence, the correct answer is "SGWTTIPTNR".

The logic followed here is :-

By using BODMAS RULE :

Option 1) : +, -, ×, =, ×, +

Given equation : 12 * 70 * 5 * 5 * 5 * 11 * 2

After inserting the mathematical operators in given equation the equation is as follows : 12 + 70 - 5 × 5 = 5 × 11 + 2

⇒ 12 + 70 - 5 × 5 = 5 × 11 + 2

⇒ 12 + 70 - 25 = 55 + 2

⇒ 82 - 25 = 57

⇒ 57 = 57

LHS = RHS

Option 2) : ×, +, +, -, ×, =

Given equation : 12 * 70 * 5 * 5 * 5 * 11 * 2

After inserting the mathematical operators in given equation the equation is as follows : 12 × 70 + 5 + 5 - 5 × 11 = 2

⇒ 12 × 70 + 5 + 5 - 5 × 11 = 2

⇒ 840 + 5 + 5 - 55 = 2

⇒ 850 - 55 = 2

⇒ 795 ≠ 2

LHS ≠ RHS

Option 3) : ×, =, ×, ×, +, -

Given equation : 12 * 70 * 5 * 5 * 5 * 11 * 2

After inserting the mathematical operators in given equation the equation is as follows : 12 × 70 = 5 × 5 × 5 + 11 - 2

⇒ 12 × 70 = 5 × 5 × 5 + 11 - 2

⇒ 840 = 25 × 5 + 11 - 2

⇒ 840 = 125 + 11 - 2

⇒ 840 = 136 - 2

⇒ 840 ≠ 134

LHS ≠ RHS

Option 4) : ×, +, -, ×, =, ×

Given equation : 12 * 70 * 5 * 5 * 5 * 11 * 2

After inserting the mathematical operators in given equation the equation is as follows : 12 × 70 + 5 - 5 × 5 = 11 × 2

⇒ 12 × 70 + 5 - 5 × 5 = 11 × 2

⇒ 840 + 5 - 25 = 22

⇒ 845 - 25 = 22

⇒ 820 ≠ 22

LHS ≠ RHS

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

The correct dictionary order for the given words are: 

4. Pandanus
5. Pandarus
6. Pandemic
7. Pandemonium
8. Pandering

So, the correct dictionary for the given words are: 4, 5. 2, 1, 3.

Hence, the correct answer is 'Option 4'.

The logic followed here is:

Step 1: 8 moves forward and backward horizontally.

Step 2: 

moves upside down vertically.

Thus, the complete arrangement will be:

So, image 5 will replace the question mark in the given series.

Hence, the correct answer is 'Option 2'.

Alternate Method

The logic here followed is

1) 

2) 

Hence, the correct answer is "Option 1".

The correct answer is Debendranath Tagore.

Key Points

• Debendranath Tagore founded 'Tattavabodhini Sabha'.
• On 6 October 1839, Debendranath Tagore established Tattvaranjini Sabha which was shortly thereafter renamed the Tattwabodhini ('Truth-seekers') Sabha.
• Debendranath Tagore was a Hindu philosopher and religious reformer.
• Brahmo Samaj was founded by Raja Ram Mohan Roy and Debendranath Tagore
• In 1859, the Tattwabodhini Sabha was dissolved back into the Brahmo Samaj by Debendranath Tagore.
• Raja Ram Mohan Roy is regarded as the Father of Modern India.

Additional Information Important movements/Sabha and their founder:

The correct answer is Spit-roasting.

• In spit-roasting, the food is skewered on a spit and rotated slowly over a source of heat.
• The heat source can be an open flame or hot coals, and the food is cooked by the radiant heat and hot air that surrounds it.
• Spit-roasting is often used for large cuts of meat, such as whole chickens or pigs, and can result in a crispy, flavorful exterior and juicy interior.
• This method of cooking requires constant attention and turning off the spit to ensure even cooking.

Braising

• Braising involves cooking food slowly in a covered pot with a small amount of liquid, such as broth or wine.
• The food is first seared on the stovetop to develop flavor, then simmered in the liquid for a long period of time.
• This method is often used for tough cuts of meat, as the slow cooking and liquid help to tenderize the meat.
• Braising can result in a flavorful, tender dish with a rich sauce.

Poaching

• Poaching involves cooking food in a liquid that is just below boiling point.
• The liquid can be water, broth, or other flavorful liquids, and the food is typically submerged in the liquid.
• This method is often used for delicate foods, such as fish or eggs, as it is a gentle cooking method that helps to retain moisture and flavor.
• Poaching can result in a tender, moist dish with a subtle flavor.

Stewing

• Stewing involves cooking food slowly in a covered pot with a larger amount of liquid than braising.
• The food is typically cut into smaller pieces and simmered in the liquid for a long period of time.
• This method is often used for tougher cuts of meat, as the slow cooking and liquid help to tenderize the meat.
• Stewing can result in a flavorful, tender dish with a rich sauce.

The correct answer is Arthropoda.

Key Points Arthropoda

• Phylum Arthropoda is the largest phylum in the animal kingdom.
• Over two-thirds of all named species on Earth are arthropods.
• Phylum Arthropoda was first created by Von Seibold in 1845.
• The body of arthropods is covered by a chitinous exoskeleton.
• The body of arthropods consists of a head, thorax, and abdomen.
• Phylum Arthropoda has jointed appendages.
• The respiratory organs of arthropods are gills, book gills, book lungs or tracheal system.
• The circulatory system in Arthropoda is of open type.
• Excretion in Arthropoda takes place through malpighian tubules.

Additional Information Annelida:

• Annelida are aquatic or terrestrial, free-living, and sometimes parasitic.
• They are coelomate. This allows true organs to be packaged in the body structure.
• They are bilaterally symmetric and triploblastic.
• Examples: Nereis - Hirudinaria.​

Chordata:

• Animals belonging to phylum Chordata are fundamentally characterized by the presence of a notochord, a dorsal hollow nerve cord, and paired pharyngeal gill slits.
• They are bilaterally symmetrical, triploblastic, coelomate with the organ-system level of organization.
• Phylum Chordata is divided into three subphyla: Urochordata or Tunicata, Cephalochordata, and Vertebrata.
• Examples: Urochordata – Ascidia, Salpa, Doliolum; Cephalochordata – Amphioxus or Lancelet.

​Mollusca:

• Example: Pila, Octopus
• Excretion takes place through the kidneys.
• Blood is colorless.
• Respiration takes place through gills or ctenidia.
• The alimentary canal is well developed.
• The mantle is always present in it.
• The body is divided into a head and a muscular foot.

The correct answer is Uttar Pradesh.

Key Pointsa

• Sarojini Naidu was the first woman governor of a state in independent India.
• Indian freedom fighter Sarojini Naidu became the first female Governor of a state in independent India when she was appointed as Governor of the United Provinces, now Uttar Pradesh, in 1947.
• She governed Uttar Pradesh from 15 August 1947 to 2 March 1949.
• She is also known as the 'Nightingale of India', Naidu also served as the first Indian woman President of the Indian National Congress.
• She was born on February 13, 1879.

The correct answer is Dabir-i-Khas.

Key Points

• The Diwan-i-Insha department was responsible for the correspondence and communication of the Sultanate.
• It was headed by the Dabir-i-Khas who was the chief secretary and the personal assistant to the Sultan.
• Barid-i-Mumalik was the department responsible for the postal system of the Sultanate.
• Amir-i-Dad was the department responsible for the administration of justice in the Sultanate.
• Wakil-i-Dar was the department responsible for the management of the royal household.

Additional Information

• Administration under the Sultanate:
• It was also influenced by the Iranian system of administration.
• The situation in India and Indian traditions was kept in mind during these systems.
• Organs of the Government:
• Diwan-i-Wizarat: Department of Revenue and finance headed by the Wazir.
• Diwan-i-Arz: Department of Military headed by Ariz-i-Mamalik.
• Diwan-i-Insha: Department of Royal Correspondence headed by Dabir-i-lnsha.
• Diwan-i-Risalat: Department of Foreign Affairs
• Diwan-i-bandagan: ​Diwan-i-bandagan (department of slaves).
• Diwan-i-Khairat: (charity department) was created by Firuz Shah Tughlaq.
• Diwan-i-mustakhraj: Diwan-i-mustakhraj (to realize arrears) was created by Alauddin Khiiji.
• Diwan- i-kohi: Diwan- i-kohi (department of agriculture) was created by Muhammad bin Tughluq.

The correct answer is Pacific Ocean > Atlantic Ocean > Indian Ocean > Antarctic Ocean.

Key Points

• The correct sequence of oceans according to size (from largest to smallest) Pacific Ocean > Atlantic Ocean > Indian Ocean > Antarctic Ocean.

Additional Information Pacific Ocean

• The largest ocean on Earth is the Pacific Ocean.
• It is the largest of the world's oceans, covering an area of about 63.8 million square miles (165.25 million square kilometers), which is roughly one-third of the Earth's total surface area.
• The Pacific Ocean lies between the continents of Asia and Australia on the west and North America and South America on the east., and it is also the deepest ocean in the world.

​Atlantic Ocean

• The Atlantic Ocean is the second-largest of the world's five oceans, with an area of about 106,460,000 km².
• It covers approximately 20% of Earth's surface and about 29% of its water surface area.
• the Atlantic drives our weather patterns, including hurricanes, and is home to many species from sea turtles to dolphins. For centuries the Atlantic Ocean has been a key avenue of trade and travel.
• The ocean's name, derived from Greek mythology, means the "Sea of Atlas." The oldest known mention of this name is contained in The Histories of Herodotus around 450 BC.

​Indian Ocean

• The Indian Ocean is the third-largest in the world.
• The Java Trench is the deepest point in the Indian Ocean.
• It makes up approximately 20% of the Earth's water surface.

Arctic Ocean

• The Arctic Ocean is the smallest ocean.
• It is located within the Arctic Circle and surrounds the North Pole.
• It is connected with the Pacific Ocean by a narrow stretch of shallow water known as the Bering Strait.
• It is surrounded by the northern coasts of North America and Eurasia.
• It is completely covered with ice for the majority of the year.

The correct answer is 1787.

Key Points

• In 1787, four prominent French chemists – Louis Bernard Guyton de Morveau, Antoine-Laurent Lavoisier, Claude Louis Berthollet, and Antoine François Fourcroy – published a book with the title Méthode de nomenclature chimique.
• In this book, they proposed a new nomenclature of chemical substances, explicated their principles of methodically constructing chemical names, and further presented a taxonomic table of chemical substances.
• Historians of chemistry have unanimously praised the Method as a key document of eighteenth-century chemistry, particularly of Lavoisier’s epoch.
• Since the nomenclatural and the taxonomic proposals of the Méthode were constructed in accordance with Lavoisier’s antiphlogistic chemical system, most historians have regarded it as a fruit and manifestation of this chemical system.

The correct answer is Prof SR Niranjana.

Key Points

• The Dr. CV Raman Birth Centenary Award is given to recognize outstanding contributions in the field of Plant Sciences.
• Prof SR Niranjana is a renowned Plant Pathologist and has contributed significantly to the field of Plant Sciences.
• Prof SR Niranjana won the Dr. CV Raman Birth Centenary Award at the 108^th Indian Science Congress concluded at Rashtrasant Tukdoji Maharaj Nagpur University on 7 January 2023.

Additional Information

• Facts About Dr. C V Raman:
• Name: Dr. Chandrashekhra Venkataraman or C.V. Raman
• Born on: 7 November 1888
• Place of Birth: Tiruchirappalli, Tamil Nadu
• Father's Name: R. Chandrashekhara Aiyer
• Mother's Name: Parvathi Ammal
• Spouse Name: Lokasundari Ammal
• Died on: 21^st November 1970
• Place of Death: Bangalore, India
• Discovery: Raman Effect
• Awards: Matteucci Medal, Knight Bachelor, Hughes Medal, Nobel Prize in Physics, Bharat Ratna, Lenin Peace Prize, Fellow of the Royal Society.

The correct answer is agripreneurs.

Key Points

• In 1984 Government decided to celebrate 12^th January as National Youth Day.
• First National Youth Day is celebrated in the year 1985.
• National Youth Day celebrates every to mark the birth anniversary of Swami Vivekananda.
• 2023 marks the 160^th birth anniversary of Swami Vivekananda.
• On this event, PM Modi integrated the 26^th National Youth Festival from 12^th to 16^th Jan, in Hubbali, Karnataka.
• 'Viksit Yuva Viksit Bharat' is the theme of the 26^th Youth Festival.
• 12^th August is celebrated as International Youth Day.
• In 2023, the government awarded 82 young agripreneurs who have made significant contributions to the agriculture sector through innovation, technology, and sustainable practices.
• Agripreneurs are entrepreneurs who focus on agriculture-related businesses, such as farming, agro-processing, agro-forestry, and agro-tourism.
• They play a crucial role in promoting rural development, food security, and environmental sustainability.

Additional Information

• Swami Vivekananda was born in 1863 in Calcutta (now Kolkata). He died in 1902.
• His original name was Narendranath Datta.
• He was an Indian Hindu monk, philosopher, author, religious teacher, thinker, and patriot.
• He was the founder of the Ramkrishna Mission.
• He introduced the Indian philosophies of Vedanta and Yoga to the world.
• In 1893 he gave his famous speech to the World's Parliament of Religions also known as the Chicago speech.

The correct answer is (A), (B), (C).

Key Points

• According to Census 2011, the literacy rates of the states in descending order are Kerala, Himachal Pradesh, and Haryana.
• Kerala has the highest literacy rate of 94% among all the states in India.
• Haryana has a literacy rate of 75.6%.
• Himachal Pradesh has a literacy rate of 82.80%.

Additional Information

• The Indian Census is the largest single source of a variety of statistical information on different characteristics of the people of India.
• The first census of India was conducted by Lord Mayo in 1872.
• The first official census was started by Lord Ripon in 1881.
• In 2011 it is 15 census of India.
• It comes to the Ministry of Home Affairs From 1961.
• The slogan of the 2011 Census is Our Census Our Future.
• C M Chandramauli was the Registrar General and Census Commissioner of India for the 2011 Indian Census.

The correct answer is total demand and term deposits.

Key Points

 Statutory liquidity ratio(SLR) is a government term where commercial banks are mandated to keep a specific proportion of total demand and term deposits in the form of liquid assets.

• It is determined by the RBI.
• It is used to control inflation and fuel growth, by decreasing or increasing the money supply.
• Liquid Assets,  Net Demand and Time Liabilities (NDTL) and SLR Limit are the three components of SLR under Section 24 and Section 56 of the Banking Regulation Act 1949.
• Liquid Assets: Here assets like gold, security bonds can be easily converted to cash.
• Net Demand and Time Liabilities (NDTL): It refers to the total demand and time liabilities (deposits) of the public that are held by the banks with other banks.
• Demand deposits consist of all liabilities, which the bank needs to pay on demand. They include current deposits, demand drafts etc.
• Time deposits consist of deposits that will be repaid on maturity.
• SLR Limit in India was a maximum of 40% and minimum of 20.75%. However, the Reserve Bank of India (RBI) amended the Banking Regulation Act in January 2017 to remove the floor rate of 20.75% for SLR. This means that the RBI can now set the SLR at any level between 0% and 40%.
• The RBI will incur a penalty on a bank if it does not keep the required SLR ratio.
• SLR is calculated using the given formula: SLR rate = (liquid assets / (demand + time liabilities)) × 100%​

Additional Information Cash reserve ratio

• The Cash Reserve Ratio (CRR) is a monetary policy tool used by central banks, including the Reserve Bank of India (RBI), to regulate and control the money supply in the economy.
• CRR is the percentage of total deposits that commercial banks are required to keep as reserves with the central bank.
• It is a portion of the bank's demand and time liabilities.
• The primary objective of implementing CRR is to ensure the liquidity and stability of the banking system while controlling inflation and managing credit growth.
• When the central bank increases the CRR, it reduces the amount of money available for lending by commercial banks.
• This helps reduce excess liquidity in the economy, controlling inflationary pressures, and curbing excessive credit expansion.
• On the other hand, when the central bank decreases the CRR, it increases the amount of money available for lending by commercial banks.
• This can stimulate credit growth, promote economic activity, and ease liquidity conditions in the economy.

The correct answer is Squash.

Key Points 

• Deepika Pallikal is related to Squash.
• Dipika Pallikal Karthik (born 21 September 1991) is an Indian professional squash player.
• She is the first Indian to break into the top 10 in the  Professional Squash Association Women's rankings.
• Dipika Pallikal came to prominence in 2011, when she won three WISPA tour titles to attain a career-best ranking of 13^th.
• Dipika started her career in a promising fashion.
• She reached the final of the Chennai Open in 2008, beating the first and third seeds on her way.
• This phenomenal player is known to play a prominent role in making Squash popular among the Indian masses.

Additional Information 

• Deepika Pallikal Achievements Titles :
• Indian Challenger 2010
• Macau Open 2013
• Bronze at the 2014 Incheon Asian Games (Women’s Singles)
• Silver at 2014 Incheon Asian Games (Women’s Team)
• Bronze at 2018 Jakarta Asian Games (Women’s Singles)

The correct answer is Bengal and Assam.

Key Points

• Norwesters or the Kalbaishakhi is a local rainfall and thunderstorm which occurs in India and Bangladesh.
• The direction of squalls is mainly from the northwest and they are called Norwesters (Squall – a sudden, violent gusty wind).
• Kalbaishakhi occurs with increasing frequency from March till monsoon establishes over North-East India.
• Kal Baisakhi originates in the Chhotanagpur Plateau, in and around the cities of Ranchi and Jamshedpur.
• In times of incursion of moist air in these elevated regions, amidst high temperatures, these extremely destructive thunderstorms occur.
• These rainfall storms are beneficial for the cultivation of tea in Assam and for the jute and rice and tea cultivated in West Bengal and Bangladesh
• The first sign of Norwester is a low bank of a dark cloud in the northwest region, the upper outline of which has the appearance of an arch.
• It approaches slowly at first and then rapidly with a strong gust or squall.
• Sometimes the wind blows with almost hurricane force.

 Additional Information

• Tea showers in Assam (they are good for tea, jute, and rice)
• Mango showers in Kerala and coastal areas of Karnataka as they help in the early ripening of mangoes.
• Cherry Blossoms/ Coffee showers in Kerala and nearby areas (good for coffee plantations).

The correct answer is NABARD.

Key Points 

• NABARD was set up in 1982 to coordinate the activities of all institutions involved in the rural financing system.
• NABARD(National Bank for Agriculture and Rural Development):
• NABARD is a development bank focussing primarily on the rural sector of the country.
• It is the apex banking institution to provides finance for Agriculture and rural development.
• Its headquarter is located in Mumbai, the country’s financial capital.
• It is responsible for the development of small industries, cottage industries, and any other such village or rural projects.
• It is a statutory body established in 1982 under the Parliamentary Act-National Bank for Agriculture and Rural Development Act, 1981.
• NABARD’s initiatives are aimed at building an empowered and financially inclusive rural India through specific goal-oriented departments which can be categorized broadly into three heads: Financial, Developmental, and Supervision.
• It provides refinance support for building rural infrastructure.
• It prepares district-level credit plans to guide and motivate the banking industry in achieving these targets.
• It supervises Cooperative Banks and Regional Rural Banks (RRBs) and helps them develop sound banking practices and integrate them into the CBS (Core Banking Solution) platform.

Additional Information

• NEDFI (North Eastern Development Finance Corporation Ltd.) provides financial assistance for the development of industries, infrastructure, and service sectors in the Northeast region of India.
• IFCI (Industrial Finance Corporation of India) provides long-term financial assistance to medium and large-scale industries.
• SIDBI (Small Industries Development Bank of India) provides financial support to MSMEs (Micro, Small and Medium Enterprises).

The correct answer is Australia.

 Key Points

• Australia was the winner of the ICC Men's T20 World Cup 2021.
• The T20 World Cup 2021 was started on 17^th October in UAE and Oman.
• The final match was played between Australia and New Zealand.
• That was the first time when the Australian cricket team won the T20 World Cup 2021.
• Australian cricketer Mitchell Marsh was the player of the match in the T20 World Cup 2021.

Additional Information

• ICC headquarter is located in Dubai, United Arab Emirates.
• It was established in 1909 by the representatives of Australia, England, and South Africa as Imperial Cricket Conference.
• The ICC is the global governing body for cricket which is also responsible for all ICC events.

The correct answer is Assam.

Key Points

• Bhortal dance is a traditional dance form of Assam, which is famous for its rhythmic footwork and synchronized movements.
• The dance is accompanied by the sound of traditional instruments like the dhol, pepa, and taal.
• The dancers wear traditional attire like dhoti, gamosa, and turban while dancing.
• Bhortal dance is also known as 'Baratal' or 'Barat' in some parts of Assam.

Additional Information

• The Indian States and Folk Dances
• Andhra Pradesh- Kuchipudi, Bhamakalpam, Lambadi, Dhimsa, Kolattam, Butta Bommalu.
• Assam- Bihu, Bichhua, Natpuja, Maharas, Kaligopal, Bagurumba, Naga dance, Khel Gopal, Tabal Chongli, Canoe, Jhumura Hobjanai
• Bihar- Jata-Jatin, Bakho-Bakhain, Panwariya, Sama Chakwa, Bidesia.
• Gujarat- Garba, Dandiya Ras, Tippani Juriun, Bhavai.
• Haryana- Jhumar, Phag, Daph, Dhamal, Loor, Gugga, Khor, Gagor.
• Himachal Pradesh- Jhora, Jhali, Chharhi, Dhaman, Chhapeli, Mahasu, Nati, Dangi.
• Jammu and Kashmir- Rauf, Hikat, Mandjas, Kud Dandi Nach, Damali.
• Karnataka- Yakshagan, Huttari, Suggi, Kunitha, Karga, Lambi.
• Kerala- Kathakali (Classical), Ottamthullal, Mohiniattam, Kaikottikali.
• Maharashtra- Lavani, Nakata, Koli, Lezim, Gafa, Dahikala Dasavtar or Bohada.
• Odisha- Odissi (Classical), Savari, Ghumara, Painka, Munari, Chhau.
• West Bengal- Kathi, Gambhira, Dhali, Jatra, Baul, Marasia, Mahal, Keertan.
• Punjab- Bhangra, Giddha, Daff, Dhaman, Bhand, Naqual.
• Rajasthan- Ghumar, Chakri, Ganagor, Jhulan Leela, Jhuma, Suisini, Ghapal, Kalbeliya.
• Tamil Nadu- Bharatanatyam, Kumi, Kolattam, Kavadi.
• Uttar Pradesh- Nautanki, Raslila, Kajri, Jhora, Chappeli, Jaita.
• Uttarakhand- Garhwali, Kumayuni, Kajari, Jhora, Raslila, Chappeli.
• Goa- Tarangamel, Koli, Dekhni, Fugdi, Shigmo, Ghode, Modni, Samayi nrutya, Jagar, Ranmale, Gonph, Tonnya mell.
• Madhya Pradesh- Jawara, Matki, Aada, Khada Nach, Phulpati, Grida Dance, Selalarki, Selabhadoni, Maanch.
• Chhattisgarh- Gaur Maria, Panthi, Raut Nacha, Pandwani, Vedamati, Kapalik, Bharthari Charit, Chandaini.
• Jharkhand- Alkap, Karma Munda, Agni, Jhumar, Janani Jhumar, Mardana Jhumar, Paika, Phagua,Hunta Dance, Mundari Dance, Sarhul, Barao, Jhitka, Danga, Domkach, Ghora Naach.
• Arunachal- Pradesh Buiya, Chalo, Wancho, Pasi Kongki, Ponung, Popir, Bardo Chham.
• Manipur- Dhol Cholam, Thang Ta, Lai Haraoba, Pung Cholom, Khamba Thoibi, Nupa Dance, Raslila, Khubak Ishei, Lhou Sha.
• Meghalaya- Ka Shad Suk Mynsiem, Nongkrem, Laho.
• Mizoram- Cheraw Dance, Khuallam, Chailam, Sawlakin, Chawnglaizawn, Zangtalam, Par Lam, Sarlamkai/Solakia, Tlanglam, Bamboo Dance.
• Nagaland- Rangma, Zeliang, Nsuirolians, Gethinglim, Temangnetin, Hetaleulee.
• Tripura- Hojagiri.
• Sikkim- Chu Faat Dance, Sikmari, Singhi Chaam or the Snow Lion Dance, Yak Chaam, Denzong Gnenha, Tashi Yangku Dance, Khukuri Naach, Chutkey Naach, Maruni Dance

The correct option is Ministry of Rural Development.

Key Points

Nai Chetna-Pahal Badlav Ki

• The campaign aims to sensitize rural communities across India on issues related to gender-based discrimination and promote gender equality.
• The campaign will be led by women's self-help groups, who will conduct various activities such as rallies, street plays, and awareness sessions.
• The Ministry of Rural Development has allocated Rs. 50 crore for the campaign, which will be implemented in collaboration with state governments and other stakeholders.
• The campaign is part of the government's efforts to empower women in rural areas and promote their participation in development activities.

The correct answer is Kalidas Samman.

Key Points  

• Noted Hindustani vocalist Pandit Venkatesh Kumar has been chosen for 'Kalidas Samman 2022' given by the Madhya Pradesh Government.
• Pandit M. Venkatesh Kumar is an Indian Hindustani vocalist.
• He is best known for his rendition of devotional songs composed by Swami Haridas.
• Kumar belongs to the Kirana and Gwalior Gharana.

Additional Information

• The Kalidas Samman is a prestigious arts award presented annually by the government of Madhya Pradesh in India.
• The award is named after Kalidasa, a renowned Classical Sanskrit writer of ancient India.
• The Kalidas Samman was first awarded in 1980.
• From 1986-87 onwards, the awards were presented in all four fields every year.
• The award is presented for outstanding achievement in one of the four categories.
• The award is decided by the jury members consisting of five member committee of Sangeet Natak Academy', which consists of famous performer, sculpture detractor and administrator, honor those promising writer. The cash prize awarded in 2 Lakh Indian rupee.

The correct answer is Steel.

Key Points

Permanent magnet:

• Substances that at room temperature retain their ferromagnetic property for a long period of time are called permanent magnets.
• Permanent magnets can be made in the following ways:

1. By holding an iron rod in the north-south direction and hammering it repeatedly.
2. By holding a steel rod and stroke it with one end of a bar magnet a large number of times.
3. An efficient way to make a permanent magnet is to place a ferromagnetic rod in a solenoid and pass a current.

• The hysteresis curve allows us to select suitable materials for permanent magnets.
• The hysteresis curve should be tall and wide for the material that is used to make a permanent magnet.
• The material that is used to make a permanent magnet should have high retentivity and high coercivity.
• Steel is a one-favored choice to make a permanent magnet.
• Other suitable materials for permanent magnets are alnico, cobalt steel, and ticonal.

Additional Information

• Zinc is a chemical element with the symbol Zn.
• It is a bluish- metal that is not magnetic and has weak magnetic properties.
• It is commonly used in galvanizing to protect iron and steel from corrosion.
• Aluminium is a chemical element with the symbol Al.
• It is a lightweight metal that has weak magnetic properties.
• It is commonly used in the manufacturing of aircraft, packaging, and electrical conductors.
• Copper is a chemical element with the symbol Cu.
• It is a reddish-brown metal that has weak magnetic properties.
• It is commonly used in electrical wiring, plumbing, and roofing.

The correct answer is Atharvaveda.

Key Points 

• The "Atharva Veda" is an ancient Hindu scripture and is one of the four Vedas commonly known as the fourth Veda.
• It is a Vedic-era collection of spells, prayers, charms, and hymns.
• Atharvan denotes directions and mantras, especially in connection to ward off evil and hardship, and also contains philosophical thoughts.
• "Atharvan" originally means ‘priest’ and the Mantras in the Atharva Veda-Samhita were brought to light by Rishi Atharva.

Additional Information 

• Rigveda:
• Rigveda, (Sanskrit: “The Knowledge of Verses”) also spelt Ṛgveda, the oldest of the sacred books of Hinduism, composed in an ancient form of Sanskrit about 1500 BCE, in what is now the Punjab region of India and Pakistan.
• It consists of a collection of 1,028 poems grouped into 10 “circles” (mandalas).
• It is generally agreed that the first and last books were created later than the middle books.
• The Rigveda was preserved orally before it was written down about 300 BCE.
• Samaveda:
• The Samaveda was created for liturgical purposes.
• The Samaveda was also derived from the hymns of the Rigveda, but the words were distorted by the repetition of syllables, pauses, prolongations, and phonetic changes, as well as the insertion of certain meaningless syllables believed to have magical significance.
• The Brahmanas of the Samaveda are the Panchavimsha (“of 25 [books]”), the Shadvimsha (“of 26 [books]”), and the Jaiminiya (or Talavakara) Brahmana.
• They show almost complete accordance in their exposition of the “going of the cows” ceremony, the various soma ceremonies, and the different rites lasting from 1 to 12 days.
• Also described are the atonements required when mistakes or evil portents have occurred during sacrifices.
• Yajurveda:
• Yajurveda, collection of mantras (sacred formulas) and verses that forms part of the ancient sacred literature of India known as the Vedas.
• Sacred formulas known as mantras were recited by the adhvaryu, the priest responsible for the sacrificial fire and for carrying out the ceremony.
• Those mantras and verses were drawn into the Samhita known as the Yajurveda (“Knowledge of the Sacrifice”).

The correct answer is Article 23.

• Article 23 deals with 'Right against Exploitation.

Key Points

• Right against exploitation(Article 23-24).
• Article 23 deals with the Prohibition of Human Trafficking and Forced Labour:
• Forced labour in India was imposed by landlords, moneylenders and other wealthy persons in the past.
• Article 23 of the Indian Constitution prohibits human trafficking and begar (forced labour without payment) to protect the millions of underprivileged and deprived people of the country.
• The right is available to citizens of India as well as to non-citizens.
• The right provides against human trafficking in the form of:
• Selling and buying of men, women and children.
• Prostitution
• Devadasis
• Slavery.
• The Immoral Traffic (Prevention) Act 13, 1956 has been enacted to deal with violations of this fundamental right.
• Prohibition of Child Labour: Article 24 of the Indian Constitution forbids the employment of children below the age of 14 years in dangerous jobs like factories and mines.
• However, it did not prohibit their employment in any harmless or innocent work.
• The Child Labour (Prohibition and Regulation) Act, 1986 (renamed as Child & Adolescent Labour (Prohibition and Regulation) Act, 1986 in 2016) specifically deals with the violations related to this right.
• The 2016 amendment of this act completely prohibited the employment of children below 14 years of age in all occupations and processes.
• It also prohibited the employment of adolescents (14-18 years of age) in hazardous occupations or processes.

Additional Information

• Article 20 of the Constitution of India deals with the protection in respect of conviction for offences.
• Article 22 deals with the protection against arrest and detention in certain cases.
• Article 21 deals with the Protection of Life and Personal Liberty.

The correct answer is Government of India Act of 1919.

Key Points

• Government of India Act, 1919
• The matters, which were of National importance or related to more than one province were governed at the central level, such as Foreign Affairs, Defence, Political Relations, Communication, Public Debt, Civil and Criminal Laws, Wire services, etc.
• The Central Legislature was made more powerful and more representative by this Act.
• The Act introduced a bicameral legislature; the Lower House or Central Legislative Assembly and the Upper House or Council of State.
• The legislators, under the new reforms, could now ask questions and supplementary, pass adjournment motions, and vote a part of the budget, but 75% of the budget was still not votable.
• The legislature had virtually no control over the Governor-General and his Executive Council.

Additional Information

• Government of India Act 1935
• There was a growing demand for constitutional reforms in India by Indian leaders.
• India’s support to Britain in the First World War also aided in British acknowledgment of the need for the inclusion of more Indians in the administration of their own country.
• The Act was based on
• Simon Commission Report
• The recommendations of the Round Table Conferences
• The White Paper published by the British government in 1933 (based on the Third Round Table Conference)
• Report of the Joint Select Committees.
• Morley-Minto Reforms 1909
• The legislative councils at the Centre and the provinces increased in size.
• Central Legislative Council – from 16 to 60 members.
• Legislative Councils of Bengal, Madras, Bombay, and United Provinces – 50 members each.
• Legislative Councils of Punjab, Burma, and Assam – 30 members each.
• The legislative councils at the Centre and the provinces were to have four categories of members as follows:
• Ex officio members: Governor-General and members of the executive council.
• Nominated official members: Government officials who were nominated by the Governor-General.
• Nominated non-official members: nominated by the Governor-General but were not government officials.
• Elected members: elected by different categories of Indians.

The correct answer is 1995.

Key Points 

• NHAI:
• The National Highways Authority of India or NHAI is an autonomous agency of the Government of India.
• It was set up in 1995 under the NHAI Act, 1988..
• It is responsible for the management of a network of over 50,000 km of National Highways out of 1,32,499 km in India.
• It is a nodal agency of the Ministry of Road Transport and Highways.

Additional Information 

• In June 2022, India built 75km of road in under 5 days and set Guinness World Record.
• The stretch lies on the NH 53 between Amravati and Akola in Maharashtra.

The correct answer is 3.

Key Points

• Bihu is the official state festival of Assam, which is celebrated thrice a year.
• Bihu in Assam marks the three distinct phases of the farming calendar.
• Bihu is a secular festival that is celebrated by people from all parts of Assam irrespective of caste creed or religious background.

Important Points

• The first Bihu is known as the Rongali Bihu or Bohag Bihu, which is celebrated in April.
• The second Bihu is known as Kati Bihu or Kongali Bihu, which is celebrated during October and
• Finally, there is Magh Bihu, which is observed during January.
• New Year as per the Assamese calendar coincides with the beginning of the harvest season, which is also known as Bohag Bihu.

Additional Information

Dances of Indian States:

The correct answer is Sitara Devi, Shaswati Sen and Urmila Nagar.

Key Points

• Kathak is divided into three separate styles known as "gharanas," which are named after the places where the Kathak dance heritage evolved: Jaipur, Banaras, and Lucknow.
• The Jaipur Gharana is mainly concerned with foot motions.
• Banaras and Lucknow gharanas provide a greater emphasis on facial expressions and beautiful hand gestures.
• The Vedic Sanskrit word "Katha," which means "tale," is where the term "kathak" initially originates.
• The stories told in Kathak performances are usually about the Hindu god Krishna (or, in certain circumstances, Shiva or Devi).
• The stories are based on the Bhagavata Purana or the Indian Epics.
• Sitara Devi, Shaswati Sen, and Urmila Nagar are related to Kathak.
• Raigarh Gharana: It originated in the Raigarh state of Madhya Pradesh, India. It is known for its distinct musical style and contribution to both vocal and instrumental music.

Additional Information

• The Indian States and Folk Dances
• Andhra Pradesh- Kuchipudi, Bhamakalpam, Lambadi, Dhimsa, Kolattam, Butta Bommalu.
• Assam- Bihu, Bichhua, Natpuja, Maharas, Kaligopal, Bagurumba, Naga dance, Khel Gopal, Tabal Chongli, Canoe, Jhumura Hobjanai
• Bihar- Jata-Jatin, Bakho-Bakhain, Panwariya, Sama Chakwa, Bidesia.
• Gujarat- Garba, Dandiya Ras, Tippani Juriun, Bhavai.
• Haryana- Jhumar, Phag, Daph, Dhamal, Loor, Gugga, Khor, Gagor.
• Himachal Pradesh- Jhora, Jhali, Chharhi, Dhaman, Chhapeli, Mahasu, Nati, Dangi.
• Jammu and Kashmir- Rauf, Hikat, Mandjas, Kud Dandi Nach, Damali.
• Karnataka- Yakshagan, Huttari, Suggi, Kunitha, Karga, Lambi.
• Kerala- Kathakali (Classical), Ottamthullal, Mohiniattam, Kaikottikali.
• Maharashtra- Lavani, Nakata, Koli, Lezim, Gafa, Dahikala Dasavtar or Bohada.
• Odisha- Odissi (Classical), Savari, Ghumara, Painka, Munari, Chhau.
• West Bengal- Kathi, Gambhira, Dhali, Jatra, Baul, Marasia, Mahal, Keertan.
• Punjab- Bhangra, Giddha, Daff, Dhaman, Bhand, Naqual.
• Rajasthan- Ghumar, Chakri, Ganagor, Jhulan Leela, Jhuma, Suisini, Ghapal, Kalbeliya.
• Tamil Nadu- Bharatanatyam, Kumi, Kolattam, Kavadi.
• Uttar Pradesh- Nautanki, Raslila, Kajri, Jhora, Chappeli, Jaita.
• Uttarakhand- Garhwali, Kumayuni, Kajari, Jhora, Raslila, Chappeli.
• Goa- Tarangamel, Koli, Dekhni, Fugdi, Shigmo, Ghode, Modni, Samayi nrutya, Jagar, Ranmale, Gonph, Tonnya mell.
• Madhya Pradesh- Jawara, Matki, Aada, Khada Nach, Phulpati, Grida Dance, Selalarki, Selabhadoni, Maanch.
• Chhattisgarh- Gaur Maria, Panthi, Raut Nacha, Pandwani, Vedamati, Kapalik, Bharthari Charit, Chandaini.
• Jharkhand- Alkap, Karma Munda, Agni, Jhumar, Janani Jhumar, Mardana Jhumar, Paika, Phagua,Hunta Dance, Mundari Dance, Sarhul, Barao, Jhitka, Danga, Domkach, Ghora Naach.
• Arunachal- Pradesh Buiya, Chalo, Wancho, Pasi Kongki, Ponung, Popir, Bardo Chham.
• Manipur- Dol Cholam, Thang Ta, Lai Haraoba, Pung Cholom, Khamba Thaibi, Nupa Dance, Raslila, Khubak Ishei, Lhou Sha.
• Meghalaya- Ka Shad Suk Mynsiem, Nongkrem, Laho.
• Mizoram- Cheraw Dance, Khuallam, Chailam, Sawlakin, Chawnglaizawn, Zangtalam, Par Lam, Sarlamkai/Solakia, Tlanglam, Bamboo Dance.
• Nagaland- Rangma, Zeliang, Nsuirolians, Gethinglim, Temangnetin, Hetaleulee.
• Tripura- Hojagiri.
• Sikkim- Chu Faat Dance, Sikmari, Singhi Chaam or the Snow Lion Dance, Yak Chaam, Denzong Gnenha, Tashi Yangku Dance, Khukuri Naach, Chutkey Naach, Maruni Dance.

Given:

The ratio of the number of boys in a school to the total number of boys and girls in that school is 7 ∶ 17.

The number of boys in that school is 1099,

Calculation:

Let the number of boys be 7x,

So the total number of  girls 17x - 7x = 10x

As per the question,

The value of 7x = 1099

The value of 10x is 1099 × 10/7 = 1570

Given:

Two triangles are  ΔABC and ΔDEF

Concept used:

For congruent triangles, the perimeter of the triangles are always equal.

Calculation:

Among the given options,

Perimeter of ΔABC = Perimeter of ΔDEF

∴ The correct option is 2

Given:

Ram and Shyam are racing along a circular track.

The speed of Ram is thrice the speed of Shyam.

The length of the circular track is 1440 m.

After the start of the race from the same point simultaneously, Ram meets Shyam for the first time at the end of the 8^th minute.

Calculation:

Speed ration of Ram and Shyam is 3 : 1

Let speed of Ram is 3x then Shyam is x

Relative speed is 3x - x = 2x

As per the question,

2x = 1440/(8 × 60)

x = 3/2

Time taken by Shyam will be

(1440 × 2 / 3) × 1/60 = 16 minutes

∴ The correct option is 2.

Given:

Pipe A and pipe B running together can fill a cistern in 6 minutes.

B takes 5 minutes more than A to fill it. 

Concept used:

Efficiency = (Total work / Total time taken)

Efficiency = work done in a single day 

Calculation:

Let Pipe A takes x minutes

So pipe B takes x+5 minutes

As per the question,

1/x + 1/(x+5) = 1/6

2x + 5 = x(x+5) 1/6

12x + 30 = x² + 5x

x2 - 7x - 30 = 0

(x+3)(x-10) = 0

So x = 10 

Time taken by B is 10 + 5 = 15 minutes

∴ The correct option is 4

Shortcut Trick

Formula: a³ + b³ + c³ − 3abc = 1/2 × (a + b + c) × [(a − b)² + (b − c)² + (c − a)²]

Substitute the given values directly:

405 = 1/2 × (a + b + c) × 54

405 = 27 × (a + b + c) ⇒ a + b + c = 15

∴ The correct answer is 15.

Alternate Method

Given:

a³ + b³ + c³ − 3abc = 405

(a − b)² + (b − c)² + (c − a)² = 54

Formula Used:

a³ + b³ + c³ − 3abc = 1/2 × (a + b + c) × [(a − b)² + (b − c)² + (c − a)²]

Calculation:

⇒ 405 = 1/2 × (a + b + c) × 54

⇒ 405 = (a + b + c) × 27

⇒ a + b + c = 405 ÷ 27

⇒ a + b + c = 15

∴ The correct answer is 15.

Additional Information

Standard Form of the Identity

a³ + b³ + c³ − 3abc = (a + b + c)(a² + b² + c² − ab − bc − ca)

Conditional Identity

If a + b + c = 0, then a³ + b³ + c³ = 3abc.

Important Variation

a³ + b³ + c³ − 3abc = (a + b + c)[(a + b + c)² − 3(ab + bc + ca)]

Formula used: 

Surface area (in cm2) of a spherical sculpture = 4πr²

Calculation:

As per the question,

The surface area  of a spherical sculpture whose radius is 35 cm is

⇒ 4×  22/7 × 35 × 35 = 15400 cm2

Shortcut Trick

Time taken by A to fill 100% = 6 × 2 = 12 hours, B = 18 hours.

Total work (LCM of 12, 18) = 36 units.

Combined Efficiency = (36 ÷ 12) + (36 ÷ 18) = 3 + 2 = 5 units/hr.

Time taken = 36 ÷ 5 hours = (36 ÷ 5) × 60 minutes = 432 minutes.

∴ The correct answer is 432 minutes.

Alternate Method

Given:

Pipe A fills 50% of the tank in 6 hours ⇒ It fills 100% of the tank in 12 hours.

Pipe B completely fills the tank in 18 hours.

Formula Used:

Total Work = Efficiency × Time

Calculations:

⇒ Total combined efficiency of A and B = 3 + 2 = 5 units/hr

⇒ Time taken to fill the tank together = Total Work ÷ Total Efficiency

⇒ Time taken = 36 ÷ 5 hours

⇒ Converting hours to minutes: Time = (36 ÷ 5) × 60

⇒ Time = 36 × 12 = 432 minutes

∴ The correct answer is 432 minutes.

Additional Information

Emptying Pipe (Leakage)

If an emptying pipe or leak is present, its efficiency is taken as negative. Net efficiency = (Filling Efficiency) − (Emptying Efficiency).

Fractional Work Method

If pipe A fills a tank in x hours and pipe B fills it in y hours, the part of the tank filled by both in 1 hour is (1/x) + (1/y).

Efficiency and Time Relationship

Efficiency is inversely proportional to the time taken. If the ratio of time taken by pipe A and pipe B is a : b, then the ratio of their efficiencies will be b : a.

Given:

A 9-digit number 846523X7Y is divisible by 9, and Y - X = 6.

Calculation:

A 9-digit number 846523X7Y is divisible by 9.

And Y - X = 6.

From this we can assume that Y = 8 and x = 2

So, value of $\rm√{2X+4Y}$ = √(2 × 2 + 8 × 4)

⇒ √(36) = 6

∴ The correct option is 3

Given:

ΔABC is a right triangle. If ∠B = 90° and tan A = $\frac{1}{√2}$

Concept used:

Sum of the angles of a triangle is 180° 

Formula used:

sin(A + B) = sin A cos B + cos A sin B

Calculation:

tanA = 1/√2

B = 90°

A + B + C = 180°

So

A + C = 180° - 90° = 90°

The value of,

sin A cos C + cos A sin C

⇒ sin (A + C)

⇒ sin(90)° 

⇒  1

∴ The correct option is 1

Given:

A policeman spots a thief at a distance of 360 m.

Both the policeman and the thief simultaneously start running, with the former chasing the latter.

While the thief runs at the speed of 8 km/h, the policeman runs at 9.2 km/h.

Concept used:

Distance = speed × time

Calculation:

Relative speed is (9.2 -8) × 5/18 = 1/3 m/s

Time taken to catch the thief 360 / (1/3) = 1080 sec

Distance covered in that time by the police is,

9.2 × (5/18)× 1080 = 2760 m

∴ The correct option is 4

Shortcut Trick

For a constant sum of individual percentage values (5+5=10, 8+2=10, and 10), the maximum discount is always provided by the single discount.

Successive discount formula: a + b − (a × b ÷ 100). The term −(a × b ÷ 100) reduces the total discount.

Case 1 (5%, 5%): 10 − 0.25 = 9.75%.

Case 2 (10%): 10%.

Case 3 (8%, 2%): 10 − 0.16 = 9.84%.

Comparing 9.75%, 10%, and 9.84%, the Single Discount of 10% is clearly the maximum.

∴ The correct answer is 2.

Alternate Method

Given → Marked Price (MP) = Rs. 7,500. Formulas: Successive Discount = a + b − (a × b ÷ 100) | Discount Value = (Discount% ÷ 100) × MP.

⇒ Case 1: Successive 5% and 5% ⇒ 5 + 5 − (5 × 5 ÷ 100) = 10 − 0.25 = 9.75%. ⇒ Case 2: Single discount = 10%. ⇒ Case 3: Successive 8% and 2% ⇒ 8 + 2 − (8 × 2 ÷ 100) = 10 − 0.16 = 9.84%. ⇒ Comparing all cases: 10% is the highest percentage, thus it yields the maximum discount value. ⇒ Max Discount = 10% of 7500 = Rs. 750.

∴ The correct answer is 2.

Additional Information

Successive Discount Property

When the sum of two successive discounts is equal to a single discount, the single discount is always greater because successive discounts apply the second percentage to a already reduced amount.

Gap Rule

Among different pairs of successive discounts with the same sum, the pair with the largest difference between the two percentages yields a higher total discount (e.g., 8% and 2% is better than 5% and 5%).

Calculation:

The number of students from college B during all the years is

⇒ 550 + 450 + 600 + 650 + 700 = 2950

The number of students from college B during all the years passed is

⇒ 530 + 420 + 550 + 620 + 680 = 2800

The required percentage is (2800 /2950) × 100 = 94.92 %

∴ The correct option is 1

Formula used:

(a + b + c)² = a2 + b2 + c2+ 2(ab + bc + ca) 

Calculation:

⇒ 13² = a2 + b2 + c2+ 2 × 54

⇒ 169 - 108 = a2 + b2 + c2

⇒ a2 + b2 + c2 = 61

∴ The correct option is 3

Concept used:

Cosθ/ Sinθ = Cotθ

Calculation:

$\rm \frac{21\ cosA+3\ sinA}{3\ cosA+4\ sinA}$ = 2

By dividing by Sin A we get

⇒ (21 cot A + 3) / (3 cot A + 4) = 2

⇒ 15 cot A = 5

cot A = 1/3

∴ The correct option is 3

Given: 

A can complete a piece of work alone in 120 days

A and B, working together, can complete this piece of work in 72 days.

Concept used:

Efficiency = (Total work / Total time taken)

Efficiency = work done in a single day 

Calculation:

B alone can complete in 1 day is

1/72 - 1/120

⇒ $5-3\over360$

⇒ 2/360 = 1/180 part

So B alone can complete the total work in 180 days

Given:

The interest earned on Rs. 21,000 in 3 years at simple interest is Rs. 6,400

Concept used:

S.I = P × R × T / 100

( P = Principal , R = Rate of interest, T = Time)

Calculation:

S.I =6400

As per formula 

6400  = 21000  × R × 3 / 100

⇒ R =6400/630

⇒ R =10$\frac{10}{63}$%

∴ The correct option is 4

Shortcut Trick

Total Work (LCM of 84 and 105) = 420 units.

Efficiency of 1 inlet pipe = 420 ÷ 84 = +5.

Efficiency of 1 drain pipe = 420 ÷ 105 = −4.

Combined efficiency = (9 × 5) + (10 × (−4)) = 45 − 40 = 5 units/hour.

Time taken = 420 ÷ 5 = 84 hours.

∴ The correct answer is 84 hours.

Alternate Method

Given: 9 inlet pipes and 10 outlet pipes are opened together.

Formula: Time = Total Work ÷ Net Efficiency

⇒ Efficiency of 9 inlet pipes = 9 × 5 = 45

⇒ Efficiency of 10 outlet pipes = 10 × (−4) = −40

⇒ Net Efficiency = 45 − 40 = 5

⇒ Time required = 420 ÷ 5

⇒ Time required = 84 hours

∴ The correct answer is 84 hours.

Additional Information

Inlet and Outlet Pipes

Inlet pipes perform positive work (filling), while outlet (drain) pipes perform negative work (emptying) relative to the cistern capacity.

LCM Method for Time and Work

Total capacity is assumed as the Least Common Multiple (LCM) of the individual times to simplify efficiency into integers.

Work and Wages

In scenarios involving wages, the total amount is distributed based on the ratio of work done by each pipe or person, which is Efficiency × Time.

Given:

In a right triangle for an acute angle x, if sin x = $\frac{3}{7}$

Calculation:

So perpendicular is 3 unit and hypotenuse is 7 units

So base is, √7² - 3² = √40 units

⇒ 2√10 units

As we know, cosx = Base / hypotenuse 

So, cosx= $\frac{2(\sqrt{10})}{7}$

The correct option is 4

Given:

In a class of 60 students, there are 35 boys.

The average weight of boys is 42 kg and the average weight of the full class is 46.5 kg.

Calculation:

The number of girls will be 60 - 35 = 25

The total weight of the boys is

⇒ 42 × 35 = 1470 kg

The total weight of the full class is

⇒ 60 × 46.5 = 2790 kg

The total weight of the girls is

⇒ 2790 - 1470 = 1320 kg

The average weight of girls in the class is

⇒ 1320 / 25 = 52.80 kg

∴ The correct option is 3

Given:

Area of a sector is 110 cm2 and the central angle of the sector is 56°

Formula used:

Area of a sector = θ/360° πr2.

Calculation: 

As per the formula,

⇒ 110 cm2 =  56°/360° πr2. 

⇒ r2 = 225

⇒  r = 15 cm                                                                         

∴ The correct option is 4

Given:

In a competitive exam, the marks obtained by Sam are 19% less than those of Peter.

Calculation:

Let Peter gets 100 marks

Then Sam gets 100 - 19 = 81 marks

The marks obtained by Peter is more than the marks obtained by Sam ,

⇒ $19\over81$ × 100 = 23.46%

∴ The correct option is 4

Calculation:

In Department 1 the variation in the strength of employees in 2021 in comparison to that in 2020 is

⇒ 24 - 21 = 3

In Department 2 the variation in the strength of employees in 2021 in comparison to that in 2020 is

⇒ 22 - 21 = 1

In Department 4 the variation in the strength of employees in 2021 in comparison to that in 2020 is

⇒ 19 -19 = 0

In Department 5 the variation in the strength of employees in 2021 in comparison to that in 2020 is

⇒ 20 -16 = 4

∴ The correct option is 3

Calculation:

x +$\rm \frac{1}{x}$ = 1

⇒ x² + 1 = x

By putting the value x2 + 1 = x we get,

$\frac{x^2+7x+1}{x^2+11x+1}$ = $x\space +\space 7x\over x\space +\space 11x$ 

⇒ 8x/12x = 2/3

∴ The correct option is 2

Concept used:

Calculation:

6 - (6 ÷ 2 - 3 + 7 - 2) × [{3 - 2 ÷ 2} × 5 - 6]

⇒ 6 - (3 - 3 + 7 - 2) × [{3 - 1} × 5 - 6]

⇒ 6 - 5 × 4

= - 14

∴ The correct option is 2

Given:

Length of petrol tank = 50 m

Breadth of petrol tank = 25 m

Height of petrol tank = 10 m

Formula used:

Volume of cuboid = Length × breadth × height

Calculation:

Volume of petrol tank = Length × breadth × height

⇒ 50 ×  25 × 10 = 12500 m³

Volume of petrol tank in liters = 12500 × 1000 = 12500000 liters

∴ The correct answer is 12500000 liters.

The correct answer is: Saves money for later.

Key Points

• The phrase "saves for a rainy day" is an idiom. Idioms are expressions whose meanings cannot be inferred from the meanings of the words that make them up. This particular idiom means to save money for a time when it might be needed unexpectedly, such as during an emergency or in times of difficulty, which could be referred to metaphorically as a "rainy day."
• Therefore, in the context of the sentence "Though very rich, Alexander always saves for a rainy day," it indicates that despite his wealth, Alexander is cautious and saves money for future unforeseen expenses.

Thus, the first option, "Saves money for later," is the most appropriate as it directly relates to the meaning of the idiom.

 Additional Information

• "Lives like a miser" implies extreme frugality, which is not the same as saving for future needs.
• "Spends too much" is the opposite of the idiom's meaning.
• "Accumulates less wealth" does not align with the concept of saving; it suggests not gaining wealth, not saving it.

The correct answer is: Genocide.

Key Points

• The term "genocide" refers to the intentional action to destroy a people—usually defined as an ethnic, national, racial, or religious group—in whole or in part. (जन-संहार)
• ​For example: The international community condemns genocide as a heinous crime.
• It's a term that has been used to describe horrific events in history where large numbers of a particular group were systematically killed.
• The definition provided in the question, "The murder of a large number of people from a particular nation or ethnic group," aligns directly with the definition of genocide.

Hence, the term "genocide" is the one-word substitute that fits the description given.

Additional Information The other options provided do not match the definition:

• "Geronticide" refers to the killing of the elderly. (वृद्ध हत्या)
• ​For example: Geronticide, the killing of the elderly, is a term not commonly used or accepted.
• "Honour killing" is the murder of a member of a family or social group by other members due to the perpetrators' belief that the victim has brought dishonour upon the family or community.
• ​For example: Honour killings are a tragic consequence of misplaced societal values.
• "Matricide"  means the act of killing one's own mother.

The correct order is: CBDA.

Key Points

• The opening sentence should introduce the topic, which in this case is the inauguration of a new facility.
• Sentence C does this by mentioning the inauguration of the gymnasium and swimming pool.
• Following the introduction of the event in sentence C, the next logical step is to mention who inaugurated the facility, which is provided in sentence B.
• Once the event and the dignitary are introduced, the next detail often includes additional information about the event or comments made during it. Sentence D provides this by detailing the Principal's actions during the event.
• Finally, sentence A gives specific information about the investment made, which is usually mentioned after the formalities of introduction and inauguration are covered.

Therefore, the correct order is: CBDA

Additional Information

• Starting with costs (A) or facility details (C) is less logical without first introducing the event (B).
• Sequences that do not start with B (the inauguration) lack a clear and logical introduction.

The correct answer is: lively.

Key Points

• The word "dismal" means something that is depressing, gloomy, or without hope. (उदास)
• Example: The constant rain and dark clouds made for a dismal day.
• "Lively" refers to something full of life and energy; it is the opposite of being dull or depressing. (जीवंत)
• Example: The lively music at the festival lifted everyone's spirits.
• Hence, we can infer that the opposite of "dismal" is "lively".

Therefore, the correct answer is: Option 4.

Additional Information

Here are the other options explained along with their Hindi meanings and example sentences:

• Smart (चतुर): Being intelligent or quick-witted.
• Example: She always provides smart solutions to complex problems.
• Melancholy (विषादपूर्ण): A feeling of deep sadness or sorrow.
• Example: There was a melancholy tone in his voice after he read the news.
• Exhausting (थकाऊ): Extremely tiring and draining.
• Example: The exhausting hike up the mountain left us all in need of rest.

The correct answer is shy.

Key Points

• "Modest" refers to someone who does not like to attract attention to themselves and does not boast about their abilities or achievements. (मामूली)
• An example of using "modest" in a sentence could be: "Despite his vast wealth, he lived in a modest house."
• While "modest" encompasses a range of meanings, including humility and the lack of desire to draw attention to oneself, "shy" can be considered a synonym within the right context, especially when it pertains to a person's nature or demeanour. (शर्मीला) ​
• For example: His modest and shy demeanour made him well-liked by his classmates.

Therefore, the correct synonym for "modest" in this sentence is "shy".

Additional Information 

• "Courageous" is not a synonym for modest; it refers to someone who is brave. (साहसिक)
• ​For example: The courageous firefighter saved the family from the burning building.
• "Horrific" is completely unrelated, meaning causing horror. (भीषण)
• ​For example: The horrific accident left the community in shock.
• "Dry" can refer to lack of moisture, humour, or interest and does not fit as a synonym for modest. (शुष्क) ​​
• For example: The lecture was dry and lacked any engaging visuals.

The correct answer is The methods Arunima adopted for taming the dogs created awe and wonder among them.

Key Points

• The original sentence is in the present tense, discussing Arunima's current methods for taming dogs.
• To change to past tense, we must convert both the verbs "adopts" and "create" to their past forms.
• Option 1 correctly changes "adopts" to "adopted" and "create" to "created," which aligns with past tense usage.
• The other options either do not correctly change the tense of both verbs or alter the tense inconsistently.

Therefore, "The methods Arunima adopted for taming the dogs created awe and wonder among them." is the correct transformation of the sentence into past tense.

Additional Information

• Options 2 and 4 present the sentence in the present and future tenses, respectively, which do not meet the requirement of expressing the sentence in past tense.
• Option 3 incorrectly maintains the present tense verb "create," failing to convert the entire sentence into the past tense.

The correct answer is: Irritates me.

Key Points

• The word "irritates" means to make someone annoyed or a little angry; causing discomfort or annoyance. (चिढ़ाना)
• Example: The constant noise from the construction site irritates me every morning.
• The phrase "gets on my nerves" refers to something that annoys or bothers someone to a great extent. (चिढ़ाना)
• Example: His habit of interrupting others during conversations really gets on my nerves.
• Hence, we can infer that "gets on my nerves" means "irritates me".

Therefore, the correct answer is: Option 3.

Additional Information

Here are the other options explained along with their Hindi meanings and example sentences:

• Makes me ill (मुझे बीमार कर देता है): Causes a feeling of sickness or discomfort.
• Example: The sight of blood makes me ill.
• Pierces my eardrums (कान के पर्दे को छेदना): Produces a very loud or sharp noise that is painful to hear.
• Example: The high-pitched sound of the alarm pierces my eardrums.
• Makes me sad (मुझे दुखी करता है): Causes a feeling of sorrow or unhappiness.
• Example: Watching a heartbreaking movie often makes me sad.

The correct option is 'Autobiography'.

Key Points

• The term "autobiography" is a compound word derived from the Greek words "autos" meaning "self," "bios" meaning "life," and "graphein" meaning "to write."
• An autobiography is a written account of the life of a person written by that person themselves.
• The prefix "auto-" means "self," and "biography" is the written record of someone's life. Hence, "autobiography" is the life history written by oneself. (आत्मकथा)
• ​For example: The celebrity penned an autobiography detailing her rise to fame.

Therefore, the correct one-word substitute for "Life history written by oneself" is "Autobiography."

Additional Information

• Autography: This word refers to a person's own handwriting or signature, not their life history. (अनुवाद) 
• ​For example: Her autography revealed a fascinating, yet previously unknown aspect of her life.
• Autophagy: A biological term that means the destruction of cells within the body during normal physiological processes. (भोजी)
• ​For example: Autophagy is a cellular process where cells digest parts of themselves for energy.
• Autocracy: A system of government by one person with absolute power, not related to life history or writing. ("एकतन्त्र)
• For example: The country was under the rule of an autocracy where one person held absolute power.

The correct answer is 'see a oculist'.

Key Points

• The mistake in the sentence lies in the segment "see a oculist;" where the indefinite article "a" is used incorrectly before a vowel sound.
• The correct indefinite article to use before a word that starts with a vowel sound is "an," not "a."
• So, the corrected segment should be "see an oculist;" to properly align with the rules of English grammar regarding the usage of articles.

​Therefore, the correct sentence is: "You should see an oculist; your eyes look worse today."

Additional Information

• "A" is used before words that begin with a consonant sound, while "an" is used before words that begin with a vowel sound.
• This rule is based on sound, not spelling, so the use of "a" or "an" is determined by the pronunciation of the word that follows it.
• For example, we say "a university" (because 'university' begins with a 'yoo' sound, which is a consonant sound) and "an hour" (because 'hour' starts with a silent 'h' and therefore the first sound is 'ow', which is a vowel sound).