SSC CHSL Tier-1 2022: Official Paper (Held On: 10 March, 2023 Shift 3) (Previous Year Paper)

The logic followed here is:

Option 1) 3846 – 4856 = -1010

Option 2) 4892 – 5902 = -1010

Option 3) 4328 – 5348 = -1020

Option 4) 3264 – 4274 = -1010

So, 'Option 3" is odd among the given option.

Hence, the correct answer is "Option 3".

Mistake PointsIn the options, you have given pairs and you need to find the difference of the numbers given. All the pairs would have similar difference except the one which is option 3^rd.

So, option 3^rd will be the correct answer.

The correct mirror image of the given figure when the mirror is placed at line AB will be: 

 

Hence, "Option 3" is the correct answer.

The paper when unfolded will appear as shown below:

Hence, 'option 3' is the correct answer.

Given:

‘WENT’ is coded as ‘2769’,

‘CORN’ is coded as ‘8941’,

‘TIRE’ is coded as ‘4652’,

‘OATS’ is coded as ‘2380’,

Here,

'O' is coded as '8'.

'I' is coded as '5'.

either 'A' or 'S' is coded as '3' or '0'.

'T' is coded as '2'.

'E' is coded as '6'.

'R' is coded as '4'.

'N' is coded as '9'.

'W' is coded as '7'.

'C' is coded as '1'.

So, according to the options 'OAI' will be coded as '835'.

Hence, the correct answer is "Option 4".

BODMAS Table:

Given: By Interchanging '4 and 6' and checking the option:

Option 1) 18 × 7 ÷ 6 – 4 = 17

After interchanging '4 and 6':

⇒ 18 × 7 ÷ 4 – 6 = 17

⇒ 18 × 1.75 – 6 = 17

⇒ 31.5 – 6 = 17

⇒ 25.5 ≠ 17.

Option 2) 4 + 6 × 2 – 3 = 9

After interchanging '4 and 6':

⇒ 6 + 4 × 2 – 3 = 9

⇒ 6 + 8 – 3 = 9

⇒ 14 - 3 = 9

⇒ 11 ≠ 9.

Option 3) 6 ÷ 2 – 4 × 3 = –16

After interchanging '4 and 6':

⇒ 4 ÷ 2 – 6 × 3 = –16

⇒ 2 – 6 × 3 = –16

⇒ 2 – (-18) = –16

⇒ -16 = -16.

L.H.S = R.H.S

Option 4) 6 ÷ 3 + 9 – 4 = 7

After interchanging '4 and 6':

⇒ 4 ÷ 3 + 9 – 6 = 7

⇒ 1.33 + 9 – 6 = 7

⇒ 10.33 – 6 = 7

⇒ 4.33 ≠ 7.

Hence, the correct answer is "Option 3".

The logic followed here is:

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

Now,

(58, 29, 174)

→ (58 + 29) × 2

→ 87 × 2 = 174.

(62, 33, 190)

→ (62 + 33) × 2

→ 95 × 2 = 190.

Similarly, for  (74, 31, 210)

→ (74 + 31) × 2

→ 105 × 2 = 210.

Hence, the correct answer is "Option 4".

The logic followed here is:

Step I: The small crossed line is shifted two places in clockwise direction.

Step II: The circle has been shaded in alternate figure.

Step III: The circles are shifted one place in anticlockwise direction.

Hence, the correct answer is "Option 1".

Family Chart:

Given: 

Pointing to the photograph of a man, Mohan said, "He is the brother of my mother's husband".

So, The man is Uncle of Mohan.

Hence, the correct answer is "Option 4".

The logic followed here is:

Logic: (1^st number ÷ 2)³ = 2^nd number.

Now,

12 ∶ 216

→ (12 ÷ 2)³ = 6³ = 216. 

24 ∶ 1728

→ (24 ÷ 2)3 = 123​ = 1728.

Similarly, for 18 ∶ 729

→ (18 ÷ 2)3 = 93​ = 729.

Hence, the correct answer is "Option 3".

The pattern followed here is:

Asthma ∶ Lungs → Asthma is a disease that affects the Lungs.

Similarly,

Cataract ∶ Eyes →  A Cataract is a clouding of the lens in the eye that affects vision, thus a condition that affects the Eyes.

Hence, the correct answer is "Option 4".

The correct order of the words as they would appear in the English dictionary will be:

1. Conclude
2. Connect
3. Consent
4. Consign 2. Constitution

So, The correct order is '1, 3, 4, 5, 2'.

Hence, the correct answer is "Option 3".

The pattern followed here is:

Chapter ∶ Book → A Chapter is part of a Book.

Similarly,

Seat belt ∶ Car →  A Seat belt is part of a Car..

Hence, the correct answer is "Option 3".

The logic followed here is:-

ZM ∶ XK

Similarly, YL : ?

Hence, the correct answer is "Option 3".

The logic followed here is:

Logic: (2^nd number × 2) - 1^st number + 8 = 3^rd number.

Now,

For, (38, 172, 314)

⇒ (172 × 2) - 38 + 8

⇒ 344 - 38 + 8 

⇒ 352 - 38 = 314.

For, (42, 176, 318)

⇒ (176 × 2) - 42 + 8

⇒ 352 - 42 + 8 

⇒ 360 - 42 = 318.

Similarly, for (18, 152, 294)

⇒ (152 × 2) - 18 + 8

⇒ 304 - 18 + 8 

⇒ 312 - 18 = 294.

Hence, the correct answer is "Option 3".

The paper when unfolded will appear as shown below:

Hence, 'option 4' is the correct answer.

The logic followed here is:

Given Sequence: _ bc _ efa _ cd _ fa _ c _ ef _ bc _ ef

Now, putting the letters in the blank spaces given in the option one by one:

Option 1) abbebdad →  abcbef / abcdef / abcdef / abcdef

Option 2) adbebbad → abcdef / abcdef / abcbef / abcdef

Option 3) adbebdad → abcdef / abcdef / abcdef / abcdef

Here, 'Option 3' followed a pattern.

Option 4) addebdad → abcdef / adcdef / abcdef / abcdef

Hence, the correct answer is "Option 3".

According to the given Venn diagram:

The shaded area shows the "total number of black tables".

So, the total number of black tables are = 2 + 4 + 5 + 3 = 14,

Hence, the correct answer is "14".

The logic followed here is:

‘ENDED’ is coded as ‘GRJMN’,

Similarly, for 'PLAYS'

So, 'PLAYS' is coded as 'RPGGC'.

Hence, the correct answer is "Option 2".

Given Statements:

I. No J is R

II. No R is C.

The least possible Venn diagram for the given statement is:

I. All J are C - False (No definite relation given between J and C, so it can be possible only).

II. Some R are J - False (Because No R and C).

III. All C are R - False (Because No R and C).

So, None of the conclusion follows.

Hence, the correct answer is "Option 4".

The logic followed here is:

Option 1) Geology → Study of the earth's solid material and structures.

Option 2) Neurology → Study of the nervous system.

Option 3) Dermatology → Study of skin and its diseases.

Option 4) Gynaecology → Study of the female reproductive system and its diseases.

Here, all the options are branches of medical science, 

Geology is study of earth and its structures.

Hence, the correct answer is "Option 1".

The logic followed here is:

Option 1) JJLP

Option 2) DDFK

Option 3) TTVZ

Option 4) RRTX

So, 'DDFK' is the odd one.

Hence, the correct answer is "Option 2".

The correct mirror image of the given figure when the mirror is placed at line AB will be: 

 

Hence, "Option 2" is the correct answer.

The logic followed here is:

Here,

@ means ×

# means +

Now,

For, 40 @ 2 # 3 = 83

⇒ 40 × 2 + 3 = 83.

For, 60 @ 2 # 5 = 125

⇒ 60 × 2 + 5 = 125.

For, 39 # 13 @ 5 = ?

⇒ 39 + 13 × 5 

= 39 + 65 = 104.

Hence, the correct answer is "104".

Mistake Points The symbols given in the last term is opposite form the previous Two.

So, calculate it carefully.

The triangles are:

So, there are '16' triangles in the given figure.

Hence, the correct answer is "Option 4".

The logic followed here is:

So, '466' will complete the series.

Hence, the correct answer is "Option 1".

The correct answer is Article-50.​

Key Points

• Directive Principles of State Policy
• To separate the judiciary from the executive in the public services of the State (Article 50).
• ​To promote equal justice and to provide free legal aid to the poor (Article 39 A).
• To organise village panchayats and endow them with the necessary powers and authority to enable them to function as units of self-government (Article 40).
• To secure for all citizens a uniform civil code throughout the country (Article 44).

Additional Information 

• Directive Principles of State Policy
• Indian Constitution borrowed the idea of directive principles of state policy from Ireland.
• The makers of the Constitution of India were influenced by the Irish Home Rule Movement and other national movements of Ireland.
• Part IV of the Indian constitution deals with the directive principles of state policy.
• Directive principles of state policy(DPSP) deal with economic and cultural rights.
• Directive Principles of state policy(DPSP) are non-justiciable.
• Directive principles of state policy aimed at the establishment of the welfare state.

The correct answer is Gujarat.

Key Points

• The World Bank has sanctioned USD 350 million to Gujarat to implement the Systems Reform Endeavours for Transformed Health Achievement in Gujarat (SHRESTHA-G).
• Under the SHRESTHA-Gujarat project, the government will undertake the initiative to improve the quality of the health system of the state by expanding the health services to the rural and urban people.

Important Points

• The project also focuses to increase the quality of non-communicable and psychiatric services in the state as well as the quality of mother and child nutrition services.
• The five-year total cost of the project will be around USD 500 million which is approximately Rs 3,750 crore.
• Of this, USD 350 billion which is approximately Rs 2,625 crore, will be provided by the World Bank.
• While Gujarat will spend Rs 1125 crore in five years.

Additional Information

• Gujarat:
• Number of Districts - 33.
• Lok Sabha seats - 26.
• Rajya Sabha seats - 11.
• State Animal - Asiatic lion.
• State Bird - Greater flamingo.
• National Parks - Vansda National Park, Blackbuck National Park, Gir Forest National Park, Marine National Park.
• Dams - Sardar Sarovar Dam(Narmada River), Ukai Dam (Tapti River), Dantiwada Dam (Banas River), Kadana dam (Mahi River), Kamleshwar Dam(Hiran River).
• Registered GI: Agates of Cambay, Kutch Embroidery, Patan Patola.

The correct answer is Angle of Reflection.

Key Points

Reflection-

• When the light rays fall on the plane surface and deviate from their path in the same medium or when a ray of light incident on the plane surface is reflected back into the same medium it is termed as Reflection.
• Example - Plane Mirror.

Laws of Refraction:

• The incident ray, the refracted ray, and the normal interface of two transparent media at the point of incidence, all lie in the same plane.
• The ratio of the sine of the angle of incidence to the sine of the angle of refraction is a constant, for the light of a given color and for the given pair of media.
• This law is also known as Snell’s law of refraction.

Explanation:

• When a ray of light is incident normally on the surface it retraces its path after reflection.

Angle of incidence = Angle of reflection = 90°

So, when the light ray is an incident normal to a surface then the reflected ray will be perpendicular to the surface

Additional Information 

• For refraction- 
• The Normal, Incident ray and Refracted ray lie on the same plane at the point of Incidence.
• For reflection- 
• The Normal, Incident ray, reflected ray lie on the same plane at the point of Incidence

The correct answer is Max Verstappen.

Key Points

• Red Bull's Max Verstappen on 9^th Oct 2022 won the Japanese F1 Grand Prix to become world champion for the second successive season.
• Red Bull' Sergio Perez & Ferrari's Charles Leclerc came at the 2^nd and 3^rd positions respectively.
• It was Verstappen's maiden Japanese GP win.
• Earlier, Sergio Perez had won the Singapore F1 Grand Prix on 2^nd Oct 2022.

Additional Information

• List of 2022 F1 Race Winners:
• Singapore F1 Grand Prix: Sergio Perez
• Dutch Formula 1 Grand Prix: Max Verstappen
• Belgian Grand Prix: Max Verstappen
• Hungarian Grand Prix: Max Verstappen
• Bahrain Grand Prix: Charles Leclerc (Ferrari-Monaco)
• Saudi Arabian Grand Prix: Max Verstappen (Red Bull – Netherlands);
• Australian Grand Prix: Charles Leclerc (Ferrari-Monaco).
• Azerbaijan Grand Prix: Max Verstappen
• Canadian Grand Prix: Max Verstappen
• Spanish Grand Prix: Max Verstappen
• British Grand Prix:  Carlos Sainz
• Austrian F1 Grand Prix: Charles Leclerc

The correct answer is Harappa.

Key Points

• Harappan Sites were discovered by Dayaram Sahni in 1921.
• The Indus Civilization marked the beginning of city life and is also known as the Harappan Civilization
• The Indus Valley Civilization was spread from present-day North-East Afghanistan to Pakistan and North-West India.
• This civilization flourished in the river basins of the Ghaggar-Hakra river and the Indus.
• Indus valley civilization is one of the four oldest civilizations in the world.
• It is also known as Harappan Civilization and is well-known for its organized planning based on the grid system.
• John Marshall was the first researcher to use the term, ‘Indus Valley Civilization’.
• Indus Valley Civilization spread from the year 2500 – 1750 BC according to radio-carbon dating.
• The most distinctive feature of the Harappan Civilization was its urbanization.
• Moreover, sheep and goats, dogs, humped cattle buffalo, and elephants were domesticated in the Indus Valley Civilization.
• The capital cities are Mohenjodaro and Harappa.
• The port cities are Sutkagendor, Balakot, Lothal, Allahdino, and Kuntasi.
• The Indus valley people were well-acquainted with the use of both cotton and wool.

Additional Information

• Name of the major cities are given below:
• Mohenjodaro (Sind)-It is located on the right bank of the Indus.
• Kalibangan (Rajasthan)-It was on the banks of the river Ghaggar river
• Chanhudaro-It lies on the left bank of the Indus in the south of Mohenjodaro.
• Lothal- It is located at the head of the Gulf of Cambay.
• Surkotada (Gujarat)-It is at the head of the Rann of Kutch.
• Banawali (Haryana)-It was situated on the banks of the now-extinct Sarasvati
• Dholavira (Gujarat)-It excavated is in the Kutch district

The correct answer is water level in well.

Key Points

• The current web page context reports that the Ministry of Rural Development (MoRD), Government of India launched the JALDOOT App on September 27^th, 2022 at Krishi Bhawan, New Delhi.
• The app was developed to capture the water level of selected wells in a village across the country.
• The app will enable Gram Rojgar Sahayak (GRS) to measure the water level of selected wells twice a year (pre-monsoon and post-monsoon).
• In every village, an adequate number of measurements will be taken to ensure that the water level is captured accurately.

Additional Information

The correct answer is 1959.

Key Points

• Year of Enactment: The Arms Act was enacted by the Parliament of India in the year 1959.
• Purpose: The act was implemented to regulate the acquisition, possession, manufacture, sale, import, and export of arms and ammunition in India.
• License Requirement: According to this act, citizens are required to obtain a valid license to manufacture, sell, or possess firearms.
• Penalties: The act specifies penalties for the possession, acquisition or carrying of illegal arms or ammunition.
• The penalties can include imprisonment and/or fines.
• Amendments: Over the years, the act has been amended several times to address emerging challenges and to strengthen the provisions concerning the possession and usage of arms and ammunition in the country.

Additional Information

The correct answer is Motherboard.

Key Points

• Motherboard: The motherboard is the main circuit board of a computer.
• It houses the CPU, RAM, and other essential components.
• It also provides the electrical connections by which the other components of the system communicate.

Additional Information

The correct answer is Tibetan Plateau

Key Points

• With an elevation of 4,500 metres and an area of 2,500,000 square kilometres.
• The Tibetan Plateau is the longest Plateau in the world.
• It covers 7 countries and given below is the list of the countries and the region the Plateau covers:
• China (Tibet, Qinghai, western Sichuan, Northern Yunnan, Southern Xinjiang, Western Gansu)
• India (Ladakh, Lahaul & Spiti, Gilgit Baltistan)
• Nepal (Northern Nepal)
• Bhutan
• Tajikistan (Eastern Tajikistan)
• Kyrgyzstan (Southern Kyrgyzstan)

Additional Information

• East African Plateau:
• ​The East African Plateau is a large plateau in the eastern part of central Africa in Uganda, Kenya, and Tanzania.
• Its elevation is mostly between 1000 and 1500 meters
• Western Plateau of Australia: The Western Plateau (sometimes referred to as the Australian Shield), is Australia's largest drainage division 
• It is composed predominantly of the remains of the ancient rock shield of Gondwana.​
• Deccan plateau is the most extensive peninsular plateau covering an area of about 422,000 square kilometres which accounts for 43% of India's landmass.
• This plateau rises more than 1000 meters in the South and 100 meters in the North.
• This plateau is drained by rivers including Krishna, Godavari, penner, and Kaveri.
• It lies to the south of the river Narmada.

The correct answer is Malabar coast.

Key Points 

• The Western Ghats:
• The western ghat is the mountain range parallel to the western coast of the Indian peninsula.
• The total length of the western ghat is around 1600 km.
• The western ghat region is spread from Tapti to Kanyakumari.
• It passes through the Indian states of Tamil Nadu, Kerala, Karnataka, Goa, Maharashtra, and Gujarat.
• Anamudi is the highest peak of the western ghat.
• All important rivers of Peninsular India originate from the western ghat.
• The major hill stations of the western ghat are Amboli ghat, Matheran, Mahabaleshwar, Panchgani, and Kudremukh.
• Eastern Ghats:
• A discontinuous range of mountains along India's eastern coast runs parallel to the Bay of Bengal.
• They are eroded and cut through by the four major rivers of peninsular India, Godavari, Mahanadi, Krishna and Kaveri.
• Some of the important ranges include the Shevaroy hills, Javadi hills, the Palconda range, the Nallamala hills, the Mahendragiri hills, etc.

Confusion Points

• Coromandel Coast
• It is the coastal plain in eastern Tamil Nadu state.
• It is bounded by the Utkal Plains to the north, the Bay of Bengal to the east, and the Kaveri delta to the south and the Eastern Ghats to the west.
• Extending over an area of about 22,800 square kilometres.

Additional Information

• Coastal plains of India -
• From Gujarat to Mumbai Coast – Kathiawar Coast
• Coast from Mumbai to Goa – Konkan Coast
• The Malabar Coast is a stretch of coastline along the southwestern part of India, primarily located in the state of Kerala. It extends from the southern part of the state of Maharashtra, passes through the state of Goa, and runs along the entire length of the state of Kerala – Malabar Coast

The correct answer is Kalaripayattu.

Key Points

• Kalaripayattu is the martial art form prevalent in the Indian state of Kerala.
• The word meaning of Kalaripayattu is “art of the battlefield".
• It is believed to be Lord Vishnu is the founder of martial arts in India.
• Kalaripayattu is considered as the oldest form of martial arts in India.
• Kalaripayattu was used as a code of combat by the dynasties in South India.
• Kalaripayattu is considered the most scientific type of martial art form in the world.

Additional Information

• Other important art forms in Kerala are:
• Kathakali.
• Mohiniyattam.
• Chakyar Koothu.
• Theyyam.
• Ottamthullal.
• Important art forms in Tamil Nadu are:
• Kolattam.
• Bharatanatyam.
• Bommalattam.
• Chakkai Attam.
• Devaraattam.
• Therukoothu.
• Important art forms in Karnataka are:
• Yakshagana.
• Somana Kunita.
• Jagghalige Kunita.
• Krishna Parijata.

The correct answer is Sodium.

Key Points

• The X-ray spectrometer 'CLASS' on the Chandrayaan-2 Orbiter has mapped an abundance of sodium on the moon for the first time, according to ISRO.
• The findings of the spectrometer were published in 'The Astrophysical Journal Letters' in the last week of Sept 2022.
• The new findings will be helpful in the study of surface-exosphere interaction on the moon.

Additional Information

• Chandrayaan-2 is India’s 2^nd moon mission which was successfully launched by GSLV-MkIII-M1 from Second Launch Pad at Satish Dhawan Space Centre, Sriharikota in Andhra Pradesh.
• In 2019, Chandrayaan-2 was launched with an orbiter and a lander named Vikram, and a six-wheeled rover named Pragyaan ISRO.
• The orbiter is still functional and the lander crashed before its induction in any research operation.
• The spacecraft was launched on its mission to the Moon on 22 July 2019 by a GSLV Mark III-M1.
• It got a failure when was entering the atmosphere of the moon.
• According to a failure analysis report submitted to ISRO, the crash was caused by a software glitch. ISRO may re-attempt a landing in 2022 with Chandrayaan-3.
• India's first mission to the moon, Chandrayaan1 was launched from Sriharikota.
• It was successfully launched on October 22, 2008.
• Chandrayaan-1 operated for 312 days.
• It confirmed the presence of lunar water.
• The evidence of lunar caves was also confirmed by the Chandrayaan-I.

The correct answer is Tennis.

Key Points

• The Davis Cup is the premier international team event in men's tennis.
• It is run by the International Tennis Federation (ITF) and Kosmos Holding and is contested annually between teams from competing countries in a knock-out format.
• It is described by the organisers as the "World Cup of Tennis", and the winners are referred to as the World Champion team.
• The competition began in 1900 as a challenge between Great Britain and the United States.
• By 2016, 135 nations entered teams into the competition. The most successful countries over the history of the tournament are united states (winning 32 titles and finish as runners-up 29 times) and Australia (winning 28 titles, including four with New Zealand as Australia, and finishing as runners-up 19 times).
• The current champions are Italy, who beat Australia to win their second title in 2023.
• The women's equivalent of the Davis cup is the Fed Cup. Australia, the Czech Republic, and the United States are the only countries to have won both Davis Cup and Fed Cup titles in the same year.
• The Davis cup did not allow professional players to compete until 1973, five years after the start of the Open Era.

Additional Information

• Thomas Cup, trophy signifying world supremacy in the sport of badminton.
• In India, Indian Super League is related to Indian football.
• Beighton Cup is related to Hockey.

The correct answer is Bankim Chandra Chatterjee.

Key Points

• Bankim Chandra Chatterjee is the author of "Durgeshnandini".
• "Vande Mataram" was written by Bankim Chandra Chatterjee.
• It was first composed in the Sanskrit language in the year of 1870s (1875). Later in 1882, it was included in the Bengali novel Anandamath.
• Other notable works of Bankim Chandra Chatterjee:
• Anandmath, Kapalkundala, Komalakanter Doptor, Mrinalini, Krishnakanter Will, Bishbrikhsha, Rajsingho, Sitaram, Devi Chaudhurani.

Additional Information

The correct answer is When bank deposit it's excess money in RBI then RBI provides some interest to that bank. This interest is known as Reverse Repo Rate.

Key Points

• The reverse repo rate is the rate of interest at which the RBI borrows funds from other banks in the short term.
• This is done by RBI selling government bonds/securities to banks with the commitment to buy them back at a future date.
• The banks use the reverse repo facility to deposit their short-term excess funds with the RBI and earn interest on it.
• RBI can reduce liquidity in the banking system by increasing the rate at which it borrows from banks.
• Hiking reverse repo rate ends up reducing the liquidity and pushes up interest rates.
• An increase in the reverse repo rate means that banks earn higher returns by lending to RBI. This indicates a hike in the deposit rates.​

Additional Information

The correct answer is 300.

Key Points

• The fall in slope refers to the change in elevation over a given distance.
• In this case, the plains from Ambala to the Sunderban stretch over nearly 1800 km.
• The phrase "fall in its slope is hardly" suggests that the change in elevation is minimal.
• Therefore, we need to find the option that represents a small value for the fall in slope.
• Among the given options, option 2) 300 represents the smallest value.
• This implies that the change in elevation over the 1800 km stretch is only 300 meters.
• The small value of 300 meters indicates that the terrain between Ambala and the Sunderban has a relatively gentle slope or gradient, as the elevation change is minimal over the given distance.

Additional Information

• About the Sunderban:
• The Sunderban is a vast mangrove forest located in the delta region of the Ganges, Brahmaputra, and Meghna rivers in India and Bangladesh.
• It is one of the largest mangrove ecosystems in the world and is recognized as a UNESCO World Heritage Site.
• The Sunderban is famous for its rich biodiversity and is home to numerous species of plants, animals, and birds.
• It is particularly known for its population of Bengal tigers, which are adapted to the mangrove environment.
• The area also supports other wildlife such as crocodiles, snakes, deer, and various bird species.
• The Sunderban plays a crucial role in maintaining the ecological balance of the region.
• It acts as a natural barrier, protecting the surrounding areas from storm surges and tidal waves.
• The mangrove forests also serve as a nursery for many aquatic species and help in stabilizing the coastline by preventing erosion.
• Tourism is an important aspect of the Sunderban, with visitors coming to explore its unique ecosystem and wildlife.
• Boat safaris are a popular way to experience the mangrove forests and observe the diverse flora and fauna.
• Overall, the Sunderban is not only a significant ecological hotspot but also a major tourist attraction, drawing nature enthusiasts and researchers from around the world.

​

The correct answer is Half Duplex.

Key Points

• The method of communication in which transmission can take place in both directions, but happens only in one direction at a time, is called half-duplex communication.
• In this mode of communication, data can be sent and received, but not at the same time.
• Instead, data is transmitted in one direction, then the communication channel switches to transmit data in the opposite direction.
• This mode of communication is commonly used in walkie-talkies, two-way radios, and some forms of computer networking.

Additional Information

• Duplex communication is a method of communication in which data can be transmitted and received simultaneously in both directions.
• Simplex communication is a method of communication in which data can only be transmitted in one direction, from the sender to the receiver, and not in the opposite direction.
• In other words, in simplex communication, data can flow in only one direction along a communication channel.

The correct answer is Kanchenjunga

Key Points

• Kanchenjunga:
• It is the third-highest mountain in the world with an elevation of 8586 m.
• It is situated on the border between Nepal and Sikkim.
• It is a part of the Great Himalayan Mountain Range.
• It is the highest mountain peak in the Himalayas in India.
• Out of the five peaks, three lie on the border with Sikkim, and two peaks are solely in Nepal.

Additional Information Mount Everest

• It is the highest peak in the world with a height of 8848m
• Located in Solukhumbu district Nepal
• It is named in honor of Sir George Everest.

K2

• It is the second-highest mountain in the world with a height of 8611m
• Located in Gilgit Baltistan POK
• Discovered by T. G. Montgomerie, Survey of India.

Nanda Devi

• It is India's second-largest peak with a height of 7816m
• Located in Chamoli Uttrakhand.​

Namcha Barwa:

• It is located on the eastern side of the Great Canyon of Yarlung Tsangpo River.
• It is a mountain located in the Tibet region with an elevation of 7782 m.

The correct answer is India.

Key Points

• The Global Multidimensional Poverty Index (MPI) of 2022 was released by United Nations Development Programme (UNDP) and Oxford Poverty and Human Development Initiative (OPHI).
• It was first launched in 2010.
• India has the largest number of poor people followed by Nigeria.
• Bihar is the poorest state in India.

Additional Information

• The MPI monitors 10 major indicators of deprivations.
• These are:

The correct answer is Rajasthan.

Key Points

• The folk dance known as the Kalbelia dance is essential to the Kalbelia culture.
• Since the Kalbelias are recognized as traditional snake charmers, this dance is also referred to as the Sapera dance.
• Previously, this nomadic tribe would move from location to location bartering snake venom.
• The Kalbelia is a snake-taming tribe from Rajasthan, India's Thar Desert.
• Men play the instruments and give the music, but only women perform it.
• In 2010, it was added to the list of Intangible Cultural Heritage (ICH) maintained by the United Nations Educational, Scientific, and Cultural Organizations (UNESCO).
• Kathputli, Bhavai, Gair, Kachchhi Ghodi, Chang/Dhamal, Ghoomar, and Terah Taali are some other folk dances of Rajasthan.

Additional Information

The correct answer is Ghana Vadya.

Key Points

• Ghana Vadya or Idiophones/Solid instruments which do not require tuning-
• The earliest instruments invented by man are said to be the Ghana Vadya.
• Once constructed, this variety of instruments does not need special tuning prior to playing.
• They are principally rhythmic in function and are best suited as an accompaniment to folk and tribal music and dance.
• E.g - Jal Tarang, Ghatam etc.​

Additional Information

Instruments have been listed below. 

• Avanaddha Vadya or Membranophones/Percussion instruments -
• In the Avanaddha Vadya category of instruments, the sound is produced by striking the animal skin which has been stretched across an earthern or metal pot or a wooden barrel or frame.
• E.g - Tabla, Mridangam, Nagara, Damaru etc.
• Sushira Vadya or Aerophones/Wind instruments -
• In the Sushira Vadya group, the sound is produced by blowing air into a hollow column.
• The pitch of the note is determined by controlling the air passage and the melody is played by using the fingers to open and close the instrument.
• E.g - Flutes, Shehnai, Nadaswaram, etc.
• Tata Vadya or Chordophones/Stringed instruments - 
• ​The tata vadya is a category of instruments in which sound is produced by the vibration of a string or chord.
• These vibrations are caused by plucking or by bowing on the string which has been pulled taut.
• E.g - Veena, Sitar, Sarangi etc.

The correct answer is healthcare.

Key Points 

• Prime Minister Narendra Modi launched the Ayushman Bharat - Pradhan Mantri Jan Aarogya Yojana from Ranchi in Jharkhand on 23^rd September 2018.
• Over two crore people have availed of treatment under Ayushman Bharat Pradhan Mantri Jan Arogya Yojana.
• The scheme, which is the world's largest health care program, provides a cover of up to Rs. 5 lacks per family per year for secondary and tertiary care hospitalization to over 10.74 crore poor and vulnerable families.
• It helps to reduce hospital expenditure and mitigate financial risk.
• It provides cashless and paperless access to services for the beneficiaries at the point of service.

Additional Information

• The insurance cost is shared by the center and the state mostly in the ratio of 60:40.
• There are about 1,400 packaged rates for various medical procedures under the scheme.
• These packaged rates also mention the number of average days of hospitalization for a medical procedure and supporting documents that are needed.
• Under no circumstances can hospitals charge the beneficiary.
• The scheme also has prescribed a daily limit for medical management.
• National Health Agency has been constituted as an autonomous entity under the Society Registration Act, 1860 for effective implementation of PMJAY in alliance with state governments.
• This includes the formulation of PMJAY policies, development of operational guidelines, implementation mechanisms, coordination with state governments, and monitoring and oversight of PMJAY amongst others.

The correct answer is 6000 units.

Key Points

Let's call the original velocity of the ball 'v'. Then, the new velocity of the ball is 2v.

Now, we can use the momentum formula to find the new momentum of the ball:

Momentum = mass x velocity

The mass of the ball is the same before and after the velocity is doubled, so we can write:

Momentum = constant x velocity

The constant here is the mass of the ball. Since the mass is the same, we can say:

Momentum 1 = constant x v

Momentum 2 = constant x 2v

where Momentum 1 is the original Momentum and Momentum 2 is the new momentum.

We can solve for Momentum 2 by using the fact that Momentum1 = 3000:

Momentum 2 = constant x 2v = 2 x (constant x v) = 2 x Momentum1

Momentum 2 = 2 x 3000 = 6000 units

Therefore, if the velocity of the ball is doubled, the ball's new Momentum would be 6000 units.

The correct answer is Muhammad Tughluq.

Key Points

• Muhammad Tughluq appointed Ladha and Pira, two gardeners to high administrative posts.
• Sultan Muhammad Tughluq appointed:
• Aziz Khummar, a wine distiller,
• Firuz Hajjam, a barber,
• Manka Tabbakh, a cook, and
• Two gardeners, Ladha and Pira, to high administrative posts.
• Ziyauddin Barani, a mid-fourteenth-century chronicler, reported their appointments as a sign of Sultan’s loss of political judgment and his incapacity to rule.
• Barani had criticized Muhammad Tughluq for that appointment.
• Tughluq's appointment reflected the socio-economic stereotypes that may have been prevalent in those times.
• The authors of Persian tawarikh criticized the Delhi Sultans for appointing the “low and base-born” to high offices.

Additional Information

• Allauddin Khalji
• ​Allauddin Khalji was the emperor of the Khalji dynasty.
• He was known to drive back the Mongols' invasion from India.
• Alauddin instituted a number of significant administrative changes, related to revenues, price controls, and society.
• Alauddin conquered the kingdoms of Gujarat, Jaisalmer, Ranthambore, Chittor, Malwa, Siwana and Jalore.
• Jalaluddin Khalji
• The founder of the Khilji dynasty was Jalal-Ud-din Firuz Khalji.
• He was also called “Clemency Jalal-uddin” as he followed peace and wanted to rule without violence.
• He appointed Ala-ud-din Khilji as the Governor of Kara. Alauddin was his son-in-law and also nephew.
• Jalal-ud-din was treacherously murdered by Ala-Ud-din Khilji his son-in-law.
• Firuz Shah Tughluq
• He was the third ruler of the Tughlaq dynasty after the death of Mohammad-bin Tughlaq.
• He imposed Jizya tax on all non-Muslims and did not even exempt Brahmins and beggers as done by his predecessors.
• He built Feroz Shah Kotla (Kotla means fortress), peppered Delhi with gardens, constructed canals, hunting lodges, and repaired Qutub Minar, Hauz Khas (royal tank), and Surajkund (lake of the Sun).

The correct answer is Leprosy.

Key Points

• The main cause of leprosy is Mycobacterium.
• Leprosy, also known as Hansen's disease, is caused by slow-growing bacteria called Mycobacterium leprae.
• It is an infectious disease that causes nerve damage in the skin, arms, and legs and also causes skin sores.
• The main symptoms include disfiguring skin sores, lumps, or bumps.

Additional Information 

Shortcut Trick

Total Work = LCM(10, 15, 4) = 60 units

Efficiency: P = 6, Q = 4, P + Q + R = 15

Efficiency of R = 15 − (6 + 4) = 5 units/day

Time for R alone = 60 ÷ 5 = 12 days

∴ The correct option is D.

Alternate Method

Given:

Time taken by P = 10 days

Time taken by Q = 15 days

Time taken by P + Q + R together = 4 days

Formula Used:

Total Work = Time × Efficiency

Calculations:

⇒ Efficiency of P = 60 ÷ 10 = 6 units/day

⇒ Efficiency of Q = 60 ÷ 15 = 4 units/day

⇒ Efficiency of P + Q + R = 60 ÷ 4 = 15 units/day

⇒ Efficiency of R = (Efficiency of P + Q + R) − (Efficiency of P + Efficiency of Q)

⇒ Efficiency of R = 15 − (6 + 4) = 5 units/day

⇒ Time taken by R alone = Total Work ÷ Efficiency of R

⇒ Time taken by R alone = 60 ÷ 5 = 12 days

∴ The correct option is D.

Additional Information

Inverse Relation of Time and Efficiency

Time taken to complete a work is inversely proportional to the efficiency of the worker. Time = 1 ÷ Efficiency (keeping work constant).

Combined Work Formula

If A, B, and C can do a work in x, y, and z days respectively, their combined 1-day work is (1/x + 1/y + 1/z).

Work and Wages

Wages are distributed in the direct ratio of the amount of work done, which is also the ratio of efficiencies if they work for the same duration.

Calculation:

Total wheat sold by Shop 1, shop 3, and Shop 4 

16.5 + 24 + 19.5

60

Total Sugar sold by all shops

12.5 + 15.3 + 20 + 32.2

80

According to the question:

60/80 × 100 = 75%

∴ Option 1 is the correct answer.

Given:

θ = 45°

Concept Used:

cosec²θ = 1/sin²θ

sec²θ = 1/cos²θ

Calculation:

Find the value of sin²θ and cos²θ

$\sin^2θ = \sin(45°)^2 = (\frac{1}{√2})^2 = \frac12$

$cos^2θ = cos(45°)^2 = (\frac{1}{√2})^2 = \frac12$

Find the value of cosec²θ and sec²θ

cosec²θ = 1/sin²θ = 1/(1/2) = 2

sec²θ = 1/cos²θ = 1 /(1/2) = 2

Find the value of 2 cosec²θ + 3 sec²θ

2 cosec2θ + 3 sec2​θ = 2 × 2 + 3 × 2 = 4 + 6 = 10

So, the value of 2 cosec2θ + 3 sec2​θ is 10.

Given:

Salary of employee L: 350

Salary of employee M: 800

Salary of employee P: 600

Salary of employee Q: 450

Calculation:

To find the ratio of salary of L and M together to the salary of P and Q together, we need to add the salary of L and M and divide it by the sum of salary of P and Q.

Find the sum of salary of L and M

Sum of salary of L and M = 350 + 800 = 1150

Find the sum of salary of P and Q

Sum of salary of P and Q = 600 + 450 = 1050

Find the ratio of salary of L and M together to the salary of P and Q together

Ratio = Sum of salary of L and M / Sum of salary of P and Q = 1150/1050 = 1150 : 1050 = 23 : 21

So, the ratio of salary of L and M together to the salary of P and Q together is 23 : 21.

Given:

The average mark of Rakesh in the first 3 subjects was 75

The average marks in the last 3 subjects were 82

Rakesh's marks in the third subject were 66

Formula:

Average = Total marks/Number of subjects

Calculation:

Find the total marks Rakesh scored in the first 3 subjects

Average = Total marks/Number of subjects 

Total marks in first three subject = 75 × 3 = 225

Find the total marks Rakesh scored in the last 3 subjects

Total marks in the last 3 subjects = 82 × 3 = 246

Find the total marks Rakesh scored in all 5 subjects

Total marks in all 5 subjects = Total marks in the first 3 subjects + Total marks in the last 3 subjects - Marks in the third subject

225 + 246 - 66

225 + 246 - 66

405

Find the average marks of Rakesh in all 5 subjects

Average marks in all 5 subjects = Total marks in all 5 subjects/Number of subjects

= 405/5

= 81

So, Rakesh's average mark in all 5 subjects was 81.

Given:

The sum of three consecutive even numbers is 126.

Formula:

The sum of n consecutive even numbers can be found using the formula: n/2 × (first number + last number)

Calculation:

The sum of three consecutive even numbers is 126, which can be represented as x + (x + 2) + (x + 4) = 126, where x is the smallest of the three numbers.

To find the value of x, we can simplify the equation and solve for x:

3x + 6 = 126

3x = 120

x = 40

Therefore, the smallest of the three numbers is 40, the largest is 40 + 4 = 44, and the product of the smallest and the largest numbers is 40 × 44 = 1760.

Given:

The sides of a triangle are 12 cm, 9 cm, and 9 cm

Formula used:

Area of the triangle = √[s (s – a) (s – b) (s – c)] where s = (a + b + c)/2

Circum-radius of the triangle = abc/[4 × area of triangle]

Calculation:

Area of the triangle = √[s (s – a) (s – b) (s – c)] where s = (a + b + c)/2

Side of the triangle are, a = 12 cm, b = 9 cm and c = 9 cm, then

s = (12 + 9 + 9)/2 = 30/2 = 15 cm

Area of the triangle = √[15 (15 – 12) (15 – 9) (15 – 9)] = √[15 × 3 × 6 × 6] = √5  × 6 × 3 = 18√5 cm2

As we know,

Circum-radius of the triangle = abc/[4 × area of triangle] = (12 × 9 × 9)/(4 × 18√5) = (27√5)/10

∴ Option 3 is the correct answer.

Given:- 

(1) Three circles of radius(r) 7 cm are placed in

such a way that each circle touches the other two

Formula used:-

(1)  Area of a Sector of Circle =   (θ /360) × πr² 

[ where, r = Radius ]

(2) Area of equilateral triangle =   (√3/4 )a²  

[where, a = Length of the side ] 

Solution:-   

We can conclude that the centers of circles form

an equilateral triangle with =  r + r = 2r   

The area enclosed between circles =

Area of a triangle - 3 (Area of the sector)  

The angle subtended by sector in an equilateral triangle = 60 

Area of a Sector of Circle =   (θ /360) × πr2  

⇒ ( 60/360) × (22/7) × 7²  ⇒ 77/3 

3 (Area of the sector)   =77 ----(1)

Area of equilateral triangle =   (√3/4 )a2   

a = Length of the side = 2r = 2(7) =14 cm  

⇒  (√3/4 ) × 14² = 49√3  ---(2)

Subtraction equation(2) - equation(1)

∴ The area enclosed between circles = 49√3 - 77 cm².

Given:

Profit earned by selling the jacket for Rs. 9610 is equal to the loss incurred by selling the same jacket for Rs. 7690.

Formulas:

Profit = Selling price - Cost price

Loss = Cost price - Selling price

Solution:

Let's assume the Cost price of the jacket = C

Profit = Rs. 9610 - C

Loss = C - Rs. 7690

Since the profit earned is equal to the loss incurred, we can set up the equation:

Rs. 9610 - C = C - Rs. 7690

To solve for C, we can simplify the equation:

2C = Rs. 9610 + Rs. 7690

2C = Rs. 17300

C = Rs. 8650

Now that we have the cost price (C), we can calculate the selling price for a 10% profit.

Profit = 10% of Cost price

Profit = (10/100) × Rs. 8650

Profit = Rs. 865

Selling price for a 10% profit = Cost price + Profit

Selling price for a 10% profit = Rs. 8650 + Rs. 865

Selling price for a 10% profit = Rs. 9515

Therefore, the selling price of the jacket to earn a 10% profit should be Rs. 9515.

Shortcut Trick

The new total weight is 104 kg, which represents a 60% increase (or 160% of the initial weight).

Initial total weight = 104 ÷ 1.6 = 65 kg.

Initial weight of Abhishek = (5 / 13) × 65 = 25 kg.

New weight of Abhishek (after 40% increase) = 25 × 1.4 = 35 kg.

New weight of Ayush = Final total weight − New weight of Abhishek = 104 − 35 = 69 kg.

∴ The correct answer is 69 kg.

Alternate Method

Given:

Initial weight ratio of Ayush to Abhishek = 8 : 5

Abhishek's weight increases by 40%.

Total weight increases by 60% to become 104 kg.

Initial Total Weight = 65 kg (100%)

Ayush: 40 kg Abhishek: 25 kg

+40%

+60% overall

Final Total Weight = 104 kg (160%)

Ayush: 69 kg Abhishek: 35 kg

Calculations:

⇒ Let the initial weight of Ayush be 8x and Abhishek be 5x.

⇒ Total initial weight = 8x + 5x = 13x

⇒ The total weight increased by 60%, making the final weight 160% of the initial.

⇒ 13x × (160 / 100) = 104

⇒ 13x × 1.6 = 104

⇒ 20.8x = 104

⇒ x = 104 ÷ 20.8 = 5

⇒ Initial weight of Abhishek = 5x = 5 × 5 = 25 kg

⇒ New weight of Abhishek = 25 × (140 / 100) = 35 kg

⇒ Final weight of Ayush = Final total weight − Final weight of Abhishek

⇒ Final weight of Ayush = 104 − 35 = 69 kg

∴ The correct answer is 69 kg.

Additional Information

Percentage Increase

When a value increases by R%, the new value becomes Base Value × (1 + R/100). Here, a 60% overall increase means multiplying the base weight by 1.6 to get the final total weight.

Weighted Average (Alligation Method)

The overall percentage change is the weighted average of the individual percentage changes: Overall % = (Ratio₁ × Change₁ + Ratio₂ × Change₂) ÷ Total Ratio.

Ratio Independence

When quantities are given in a fixed ratio, their actual individual values can be directly scaled and calculated as soon as the total initial or final amount is known, skipping the need for multiple variables.

Calculation:

$\frac{(15)^3+(4)^3}{(15^2+4^2-k)}=19$

$\frac{3375+64}{(225+16-k)}=19$

$\frac{3439}{(241-k)}=19$

3439 - 19 × 241 = -19 k

3439 - 4579 = -19 k

-1140 = -19k

k = 60

∴ Option 3 is the correct answer.

Firstly, we have to find the L.C.M. of all the powers so that we can equate the bases.

L.C.M. of 2, 3, 6, 12 = 12

⇒ (14)1/3 = (14)12/3 = (14)⁴

⇒ (12)1/2 = (12)12/2 = (12)⁶

⇒ (25)1/12 = (25)12/12 = (25)¹

⇒ (16)1/6 = (16)12/6 = (16)2

Here, (25)¹ is smallest.

So (25)^1/12 is smallest.

∴ Option 2 is the correct answer.

Shortcut Trick

Since only milk is added, the quantity of water remains constant throughout.

Initial Milk : Water = 1 : 4

Final Milk : Water = 2 : 1 ⇒ 8 : 4 (Multiplying by 4 to equalize the water parts)

Milk added = Final milk parts − Initial milk parts = 8 − 1 = 7 units.

Total initial mixture = 1 + 4 = 5 units.

Percentage of milk added = (7 ÷ 5) × 100 = 140%.

∴ The correct answer is 140%.

Alternate Method

Given:

Initial ratio of Milk to Water = 1 : 4

Final ratio of Milk to Water = 2 : 1

Initial Mixture M : W = 1 : 4 Total = 5 units

Final Mixture M : W = 8 : 4 Total = 12 units

• Milk added (Water constant)

Milk added = 8 − 1 = 7 units % Added = 7 ÷ 5 × 100 = 140%

Calculations:

⇒ Let the initial amount of milk be x and water be 4x.

⇒ Total initial mixture = x + 4x = 5x

⇒ Let y amount of milk be added to the mixture.

⇒ New amount of milk = x + y

⇒ The amount of water remains the same, which is 4x.

⇒ The new ratio of milk to water becomes 2 : 1.

⇒ (x + y) ÷ 4x = 2 ÷ 1

⇒ x + y = 8x

⇒ y = 7x

⇒ Milk added as a percentage of initial mixture = (Amount of milk added ÷ Total initial mixture) × 100

⇒ Required percentage = (7x ÷ 5x) × 100

⇒ Required percentage = 1.4 × 100 = 140%

∴ The correct answer is 140%.

Additional Information

Constant Component Principle

When only one component (like milk) is added or removed from a mixture, the quantity of the other component (like water) remains constant. Equating the ratio parts of the constant component provides the fastest way to solve mixture problems.

Rule of Alligation

A foundational concept used to quickly evaluate the ratio in which two mixtures or distinct ingredients must be combined to yield a required average concentration.

Relative Percentage Calculation

To express an added quantity as a percentage of the original quantity, always use the formula: % Added = (Added Value ÷ Initial Base Value) × 100.

Given:

The marked price of an article is 20% more than its cost price.

Formula:

Marked price = Cost price + (20% of Cost price)

Discount = Marked price - Selling price

To avoid any loss, the selling price should be equal to or greater than the cost price.

Solution:

Let's assume:

The cost price of the article = 100

Marked price = 100 + (20/100) × 100

Marked price = 120

To avoid any loss, the selling price should be equal to or greater than the cost price:

Selling price ≥ Cost price

Now let's calculate the maximum discount percentage that can be offered by the shopkeeper:

Discount = Marked price - Selling price

Discount = 120 - 100

Discount = 20

To avoid any loss, the selling price should be equal to or greater than the cost price:

Selling price ≥ Cost price

Discount = 20

Maximum discount percentage = (Discount/Marked price) × 100

Maximum discount percentage = (20/120) × 100

Maximum discount percentage = (1/6) × 100

Maximum discount percentage = 16.67%

Therefore, the maximum discount percentage that can be offered by the shopkeeper to sell the article without any loss is 16.67%.

Given:

$x^2 + \frac{1}{x^2}=38$

Calculation:

($x - \frac{1}{x}$)2 = $x^2 + \frac{1}{x^2}$ - 2

⇒ ($x - \frac{1}{x}$)2  = 38 - 2

⇒ ($x - \frac{1}{x}$)2  = 36

⇒ $x - \frac{1}{x}$  = 6

∴ Option 1 is the correct answer.

Shortcut Trick

The angle subtended by an arc at the centre of a circle is double the angle subtended by it at the circumference.

∠Centre = 2 × ∠Circumference

∠Centre = 2 × 66° = 132°

∴ The correct answer is 132°.

Alternate Method

Given:

Angle subtended by the chord at the circumference = 66°

According to the Circle Theorem, for a chord AB:

⇒ Angle at Centre (∠AOB) = 2 × Angle at Circumference (∠ACB)

⇒ ∠AOB = 2 × 66°

⇒ ∠AOB = 132°

∴ The correct answer is 132°.

Additional Information

Angles in the Same Segment

Angles subtended by the same arc or chord at any points on the remaining part of the circumference are always equal.

Angle in a Semi-circle

The angle subtended by the diameter at any point on the circumference is always a right angle (90°).

Cyclic Quadrilateral Property

The sum of the opposite angles of a cyclic quadrilateral (a quadrilateral where all vertices lie on a circle) is 180°.

Given:

a + b + c = 0 

Formula used:

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

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

Calculation:

Using the concept If a + b + c = 0 then a3 + b3 + c3 = 3abc.

∴ The value a3 + b3 + c3 is 3abc.

Shortcut Trick

Given: sin θ = √3 cos θ ⇒ tan θ = √3.

For tan θ = √3, the value of θ = 60°.

Substitute θ = 60° in the expression: (3 sin² 60° + cos 60°) ÷ (2 cos 60° + 5).

⇒ [3 × (3/4) + 1/2] ÷ [2 × (1/2) + 5] = (9/4 + 2/4) ÷ (1 + 5) = (11/4) ÷ 6 = 11/24.

∴ The correct answer is 11/24.

Alternate Method

Given: sin θ = √3 cos θ ⇒ sin θ / cos θ = √3 ⇒ tan θ = √3 / 1

Formula Used: tan θ = p/b | h = √(p² + b²) | sin θ = p/h | cos θ = b/h

⇒ p = √3, b = 1 ∴ h = √((√3)² + 1²) = √(3 + 1) = 2

⇒ sin θ = √3 / 2 and cos θ = 1 / 2

⇒ Value = [3 × (√3/2)² + (1/2)] ÷ [2 × (1/2) + 5]

⇒ Value = [3 × (3/4) + 1/2] ÷ [1 + 5]

⇒ Value = [9/4 + 2/4] ÷ 6 = (11/4) ÷ 6 = 11/24

∴ The correct answer is 11/24.

Additional Information

Trigonometric Identities

Fundamental relations: sin²θ + cos²θ = 1, 1 + tan²θ = sec²θ, and 1 + cot²θ = cosec²θ.

Specific Angles

Standard values: sin 60° = √3/2, cos 60° = 1/2, tan 60° = √3.

Right Angled Triangle Properties

Pythagoras theorem states that Hypotenuse² = Perpendicular² + Base².

Given:

 sin (C + D) = √3/2

sec (C - D) = 2/√3

Calculations:

If  sin (C + D) = √3/2 and sec (C - D) = 2/√3

Then,

⇒ C + D = 60°.............(1)

⇒ C - D = 30°..............(2)

Solving 1 & 2 .

C = 45°

D = 15°

∴ Option 1 is the correct answer.

Calculation:

Income = Saving + Expenditure

Total income = 600 + 400 + 1100 + 700 + 900 + 600 + 600 + 500 + 1300 + 700 = 7400

Total expenditure = 400 + 700 + 600 + 500 + 1300 = 3500

The ratio of total expenditure to the total incomes of all the companies

3500 : 7400

35 : 74 

∴ Option 4 is the correct answer.

Given:

The app offered Rs. 10,000 at 15 Percent per annum compounded annually for 2 years.

Formula used:

D = PR2/1002

Where P is Principle, R is Rate and D is the Difference.

Calculation:

D = PR2/1002

D = 10000 × 15²/100²

D = 225

∴ Option 4 is the correct answer.

Calculation:

K1 = The total number of male teachers in all 5 schools.

K1 = 120 + 160 + 140 + 100 + 60 = 580

K2 = The total number of female teachers in all 5 schools.

K2 = 160 + 140 + 40 + 20 + 60 = 420

According to the question:

⇒ (K1 - K2)

⇒ 580 - 420

⇒ 160

∴ Option 1 is the correct answer.

Given:

The radius of the bigger circle, r1 = 7 cm

The radius of the smaller circle, r2 =  1 cm

The direct common tangent is 24 cm

Formula used:

Length of the direct tangent, $l = \sqrt{d^2-(r_1-r_2)^2}$

Calculation:

 

Using the Length of the direct tangent, $l = \sqrt{d^2-(r_1-r_2)^2}$

 $24 = \sqrt{d^2-(16-6)^2}$

576 = d² - 100

d2 = 576 + 100

 d = 26

Hence, the distance between their centers is 26 cm.

Given:

The radius of a circle is 18 cm. The angle made by chord AB at the center of this circle is 60 degrees.

Concept used:

1. In an Isosceles triangle, the two angles opposite to the equal sides are equal to each other.
2. In an equilateral triangle, since the three sides are equal therefore the three angles, opposite to the equal sides, are equal in measure.

Calculation:

OA = OB = 18 cm

ΔOAB is an isosceles triangle.

So, ∠OAB = ∠OBA = $\frac {(180 - 60)^\circ}{2}$ = 60° 

Since ∠OAB = ∠OBA = ∠OAB = 60°, ΔOAB is an equilateral triangle.

So, OA = OB = AB = 18 cm

∴ The length of this chord is 18 cm.

Calculation:

Let's first calculate the distance Vivek covers from 8:00 am to 12:00 pm (4 hours):

Distance covered by Vivek = Speed × Time

= 70 km/hr × 4 hr

= 280 km

Now, let's calculate the time taken by Neeraj to catch up with Vivek:

Relative speed of Neeraj with respect to Vivek = 120 km/hr - 70 km/hr = 50 km/hr

Time taken by Neeraj to catch up with Vivek = Distance between them / Relative speed

= 280 km/50 km/hr

= 5.6 hours

Since Neeraj started 4 hours after Vivek, the time on the clock when they meet would be:

Time = 8:00 am + 4 hr + 5.6 hr

= 05 : 36 pm

Therefore, statement I is correct. Neeraj and Vivek would meet at 0:36 pm

Now, let's calculate the total distance covered by both Neeraj and Vivek till 4 pm:

Distance covered by Vivek = 70 km/hr × 8 hr = 560 km

Distance covered by Neeraj = 120 km/hr × 4 hr = 480 km

Total distance covered by both = 560 km + 480 km = 1040 km

Therefore, statement I is correct.

The correct answer is: A major advantage that one keeps hidden until an ideal time.

Key Points

• "Ace in the hole" is an idiomatic expression that originated from poker, specifically stud poker. In stud poker, each player receives some cards face-up and others face-down. The face-down cards are called "hole cards." The "ace" is the highest-ranking card in many card games.
• The idiom "Ace in the hole" figuratively refers to a hidden advantage or resource that a person keeps secret until the right moment.
• It represents a powerful tool or strategy that can be revealed when needed to gain a significant advantage over others. This advantage is typically withheld or kept in reserve until an opportune time arises, maximizing its impact and effectiveness.

Therefore, the correct meaning of the idiom "Ace in the hole" is: A major advantage that one keeps hidden until an ideal time.

The word that means the same as "Calibrate" is "Gauge".

Key Points

• "Calibrate" and "Gauge" are synonymous because they both involve the process of measuring or determining the value, capacity, or extent of something.
• Here's a breakdown of the meanings of all the options:
• Gauze: Gauze refers to a thin, transparent fabric or material, typically used for medical purposes, such as dressing wounds or covering surgical instruments. In Hindi: पर्दा
• Assail: Assail means to attack violently, either physically or verbally, often with the intention to harm or criticize someone or something. In Hindi: आक्रमण करना
• Gauge: Gauge means to measure or determine the dimensions, quantity, capacity, or extent of something, often using a specific instrument or method. It involves assessing or evaluating the measurements to determine accuracy or suitability. In Hindi: माप
• Affront: Affront means to insult, offend, or disrespect someone intentionally, typically through words or actions that are seen as disrespectful or demeaning. In Hindi: अपमान
• Out of these options, "Gauge" is the word that is synonymous with "Calibrate" because both words involve the process of measuring or determining the value, capacity, or extent of something. They share the common theme of assessing and evaluating measurements to establish accuracy or suitability.

Hence, the correct answer is: Gauge.

The correct answer is: worker.

Key Points

• The appropriate word to fill in the blank is "worker."
• The word "worker" fits the blank because it refers to a person who is involved in labor or employment.
• In the context of the sentence, it indicates that the social "worker" is going to meet with all of us tomorrow.
• This suggests that the social worker is a person engaged in social welfare activities or community work, likely involved in making plans and decisions related to social issues or projects.

Therefore, the correct answer is: The social worker is going to meet with all of us tomorrow with the plans so we can make a decision.

Additional Information

Now, let's provide the meanings of all the options along with their Hindi meanings:

• Army: A well-organized military force equipped for warfare. (सेना)
• Worker: A person engaged in work, especially in manual labor or as part of a particular occupation or industry. (कार्यकर्ता)
• Toddler: A young child who is just beginning to walk. (छोटा बच्चा)
• Labour: Work, especially physical work. It can also refer to the organized body of workers who are employed in industries or a particular type of work. (मजदूर, श्रमिक)

The erroneous part is: told many a times to.

Key Points

• The correct phrase is "many times" without the indefinite article "a".
• The phrase "many a" is used to emphasize singularity or uniqueness, as in "many a man" or "many a time."
• However, when discussing repetition or frequency, the correct phrase is simply "many times."

The corrected sentence would be: He has been told many times to mind his manners.

The correct answer is: impaired.

Key Points

• The appropriate word to fill in the blank is "impaired."
• The word "impaired" fits the blank because it means weakened, damaged, or diminished.
• In the context of the sentence, it indicates that lack of sleep leads to "impaired" memory and reduced cognitive abilities in humans.
• When individuals do not get enough sleep, their ability to remember and process information can be negatively affected, resulting in impaired memory and reduced cognitive functioning.

Therefore, the correct answer is: In humans, lack of sleep leads to impaired memory and reduced cognitive abilities.

Additional Information

Now, let's provide the meanings of all the options along with their Hindi meanings:

• Attended: Past tense of the verb "attend," which means to be present at or go to an event, meeting, or function. (उपस्थित होना)
• Impaired: Weakened, damaged, or diminished. (हानित, कमजोर)
• Thankless: Lacking appreciation or gratitude. (अवज्ञाकारी)
• Witnessed: Past tense of the verb "witness," which means to see or observe an event, situation, or occurrence. (गवाही देना)

The correct answer is: The conflicting range of human emotions is explored by the story.

Key Points

• The subject of the Active Voice is changed into the object of the Passive Voice. Also, the object of the Active Voice is changed into the subject of the Passive Voice.
• The usage of a helping verb is necessary while changing the voice of the sentence from Active to Passive.
• The preposition “by” is used before the object made in Passive Voice. However, it is optional in some cases.
• The Active voice in this question is in Present Indefinite. Thus, the Passive voice will also be in Present Indefinite.
• The format of Active voice is: Subject + V1/ V5 + Object.
• Thus, in Passive voice, the format will be: Object of the active voice (Subjective case) + am/is/are + V3 + by + Subject of the active voice (Objective case).
• For example:
• She likes you. (Active Voice)
• You are liked by her. (Passive Voice)
• The options except (3) don’t follow the correct grammatical format of the Passive Voice.

Therefore, the correct answer is: The conflicting range of human emotions is explored by the story.

The correct answer is: BCAD.

Key Points

• Let's see the arranged sentence:
• At Paris, just after dark
• one gusty evening in the autumn
• of 18, I was enjoying the twofold luxury
• of meditation and a meerschaum, in company
• with my friend Auguste Dupin, in his little back library.
• We can easily identify that the sentence throws light on the fact that in his small back library in Paris, on a windy autumn evening in 18, the author had the pleasure of enjoying both meditation and smoking a meerschaum pipe while keeping company with his friend Auguste Dupin, just after it got dark.

Hence, the correct answer is: BCAD.

The erroneous part is: todays music.

Key Points

• The correct form should be "today's music" with an apostrophe (') before the letter "s".
• The apostrophe in "today's" indicates possession, showing that the music belongs to or is associated with today. Without the apostrophe, "todays" is an incorrect form of the word.
• In English, we use an apostrophe and an "s" to indicate possession or ownership when referring to something that belongs to a specific person or time.
• In this case, "today's" indicates that the music belongs to or represents the current day.

The corrected sentence would be: I just don’t like the themes of today's music.

Hinglish

• सही रूप "today's music" होना चाहिए, अक्षर  "s" से पहले एक apostrophe (') होना चाहिए।
• "today's" में apostrophe कब्जे को इंगित करता है, यह दर्शाता है कि संगीत आज से संबंधित है या उससे जुड़ा हुआ है। एपोस्ट्रोफी के बिना, "todays" शब्द का गलत रूप है।
• अंग्रेजी में, हम किसी विशिष्ट व्यक्ति या समय से संबंधित किसी चीज का जिक्र करते समय कब्जे या स्वामित्व को इंगित करने के लिए apostrophe और "s" का उपयोग करते हैं।
• इस मामले में,  "today's"  इंगित करता है कि संगीत वर्तमान दिन का है या उसका प्रतिनिधित्व करता है।

The correct answer is: Effeminate.

Key Points

• The word "effeminate" (स्रैण) is the correct option as it accurately represents a man who exhibits characteristics, behaviors, or traits that are traditionally associated with women.
• Such a man may have habits, mannerisms, or interests that are considered stereotypically feminine.

Therefore, the correct answer is: Effeminate.

Additional Information

• The other options and their meanings are as follows:
• Indictment: Indictment refers to the formal accusation or charge brought against someone for a serious crime or offense. In Hindi: अभियोग
• Hooch: Hooch is a colloquial term used to refer to illicitly distilled or homemade alcohol, often of low quality. In Hindi: मादक द्रव्य
• Infidel: Infidel refers to a person who does not believe in a particular religion or religious faith. In Hindi: अधर्मी

The correct answer is: QPRS.

Key Points

• Let's look at the correct sequence of the parts of the sentence:
• East Asian governments (except for Japan) implemented
• more stringent mobility control and physical distancing policies
• as well as more comprehensive testing, tracing
• and isolation policies since the early stages.
• The sentence throws light on the fact that since the beginning, East Asian governments (excluding Japan) have put in place stricter rules to control people's movements and maintain physical distance. They have also implemented more thorough policies for testing, tracing, and isolating individuals to effectively manage the situation.

Therefore, the correct answer is: QPRS.