RRB NTPC CBT-I Official Paper (Held On: 15 Mar 2021 Shift 1) (Previous Year Paper)

Given:

If a - 5 = b

Formula Used:

|a - b| + |b - a|

Calculation:

Given a - 5 = b

a = b + 5

Calculate |a - b| :

⇒ |(b + 5) - b|

⇒ |5| = 5

|b - a| :

⇒ |b - (b + 5)|

⇒ |-5| = 5

Sum of |b - a| :

⇒ 5 + 5 = 10

The value of |a - b| + |b - a| is 10.

Given:

Distance covered by the car = 600 m

Time taken = 5 min

Formula Used:

Speed = Distance / Time

Calculation:

First, convert the time into hours:

Time = 5 min = 5 / 60 hours

⇒ Time = 1 / 12 hours

Now, convert the distance into kilometers:

Distance = 600 m = 600 / 1000 km

⇒ Distance = 0.6 km

Now, calculate the speed:

Speed = Distance / Time

⇒ Speed = 0.6 km / (1 / 12) hours

⇒ Speed = 0.6 km × 12

⇒ Speed = 7.2 km/h

The speed of the car is 7.2 km/h.

Given: 

x = 25  and y = 13

Formula used: 

(a - b)² = a² - 2ab + b²

Calculation:

By using above identity, we can write:

${ \ \sqrt{x^2-2xy + y^2} }$ = ${ \ \sqrt{(x-y)^2} }$ = (x - y)

Now substitute the value of x and y:

(x - y) = (25 - 13) = 12

Option 4 is the correct answer.

The correct answer is Rohtang pass

Key Points

• The Rohtang Pass connects the Kullu Valley with the Lahaul and Spiti Valleys of Himachal Pradesh:
• The Rohtang Pass is a high mountain pass in the eastern part of the Pir Panjal Range of the Himalayas, about 51 km from Manali.
• It is at an altitude of 3,979 m.
• The Rohtang Pass links Manali and Leh by road.
• The Rohtang Pass is a gateway to the Lahaul and Spiti Valley

Additional Information

• Nathula Pass
• Located in the Himalayas, this pass connects Sikkim, India with Tibet, China.
• It's one of the highest passes that can be accessed by motor vehicles and offers views of the Himalayas.
• The Old Silk Route used to pass through this pass.
• Bara-Lacha Pass
• Located in the Zanskar range, this pass connects Lahaul district in Himachal Pradesh to Leh district in Ladakh.
• It's one of the highest motor-able mountain passes in the region.
• Mayali Pass is a high-altitude pass in the Bhilangana Valley of the Indian Himalayas

Calculation:

Let's break down the numbers as follows:

      5Y6, represents a three-digit number where the hundreds digit is 5, the tens digit is Y, and the ones digit is 6. 

Thus, it can be written as:

      5Y6           = 500 + 10Y + 6 

Similarly,

6X7 = 600 + 10X + 7

3Z8 = 300 + 10Z + 8

Substitute these values in the given expression:

⇒ 5Y6 + 6X7 + 3Z8 = 1511

⇒ (500 + 10Y + 6) + (600 + 10X + 7) + (300 + 10Z + 8) = 1511

⇒ 1421 + 10X + 10Y + 10Z = 1511

⇒ 10X + 10Y + 10Z = 90

Dividing by 9:

⇒ X + Y + Z = 9

Thus, the maximum possible value of X= 9, when Y = 0 and Z = 0

Option 3 is the correct answer.

Shortcut Trick

In a circumscribed circle, the side of the inscribed square is given by the formula:

Side = Radius × √2

Given: Radius (r) = 8 cm

Side = 8 × √2 = 8√2 cm

∴ The correct answer is 8√2 cm.

Alternate Method

Given:

Radius of the circle (r) = 8 cm

Formula Used:

1. Diameter of circle (D) = 2 × Radius (r)
2. For a square inscribed in a circle, Diagonal of square (d) = Diameter of circle (D)
3. Side of square (a) = Diagonal (d) ÷ √2

Calculations:

⇒ Diameter (D) = 2 × 8 = 16 cm

⇒ Diagonal (d) = 16 cm

⇒ Side (a) × √2 = 16

⇒ Side (a) = 16 ÷ √2

⇒ Side (a) = (8 × 2) ÷ √2 = 8√2 cm

∴ The correct answer is 8√2 cm.

Additional Information

Circumscribed Circle

When a circle circumscribes a square, the diagonal of the square is equal to the diameter of the circle (d = 2r).

Inscribed Circle

When a circle is inscribed within a square, the side of the square is equal to the diameter of the circle (a = 2r).

Area Comparison

The area of an inscribed square is 2r², while the area of the circumscribing circle is πr².

The correct answer is Bharat Petroleum Corporation Limited

Important Points

• This is the official question asked in RRB NTPC CBT-I Official Paper (Held On: 15 Mar 2021 Shift 1)
• According to it Bharat Petroleum Corporation Limited is the right answer

Key Points

• Maharatna is one of the highest statuses granted to public sector enterprises (PSEs) in India.
• It allows greater financial autonomy and operational freedom to these companies.
• The Maharatna status is granted by the Government of India to public sector companies that meet certain criteria, including having significant financial strength, substantial revenue, and a large market presence.
• Bharat Petroleum Corporation Limited (BPCL) was granted the Maharatna status in 2010.
• As a Maharatna company, BPCL has been granted enhanced autonomy, especially in terms of decision-making for capital expenditure (up to Rs. 5,000 crore without government approval), making it one of the most prominent public sector enterprises in India.

Additional Information

• Oil India Limited (OIL) became a Maharatna Central Public Sector Enterprise (CPSE) on August 3, 2023
• Bharat Electronics Limited (BEL) was granted Navratna status in 2008,
• Hindustan Aeronautics Limited (HAL) became a Maharatna Central Public Sector Enterprise (CPSE) on October 12, 2024.

Given:

Difference between compound interest and simple interest for 2 years = Rs. 16.32

Rate of interest (R) = 5% per annum

Formula Used:

For 2 years, the difference between compound interest and simple interest on a sum (P) is given by:

Difference = P × (R/100)²

Calculation:

Let the sum be P.

Difference = P × (5/100)²

⇒ 16.32 = P × (0.05)²

⇒ 16.32 = P × 0.0025

⇒ P = 16.32 / 0.0025

⇒ P = 6528

The sum is Rs. 6528.

The logic followed here is:

Hence, the correct answer is "E121F".

Given:

Speed of walking = 3 km/h.

Time taken while walking = 8 hours.

Speed of running = 16 km/h.

Formula Used:

Distance = Speed × Time

Time = Distance / Speed

Calculation:

Distance covered while walking = 3 km/h × 8 hours

Distance = 24 km

Time taken while running = Distance / Speed

⇒ Time taken while running = 24 km / 16 km/h

⇒ Time taken while running = 1.5 hours

The correct answer is option 1

The correct answer is Football

Key Points

• The Durand Cup is associated with the game of football:
• The Durand Cup is India's oldest football tournament and Asia's third oldest.
• The first Durand Cup was held in 1888 in Annadale, Shimla.
• Since 1940, the tournament has been played in New Delhi.
• The Durand Football Tournament Society (DFTS) co-hosts the tournament.
• The tournament was originally a football competition for the different departments and regiments of the Indian Armed Forces and the princely states.
• Since independence, several clubs from different regiments of the Indian Armed Forces participate as guest invitees.

Additional Information

• Hockey: The Rangaswamy Cup is associated with hockey.
• Other hockey cups include the Agha Khan Cup, Dhyan Chand Trophy, Beighton Cup, Scindia Gold Cup, and Sultan Azlan Shah Cup.
• Football: The Durand Cup, Subroto Cup, Santosh Cup, FIFA World Cup, and La Liga Cup are all associated with football.
• The Women's FA Cup is the top annual cup tournament for women's clubs in English football.
• Tennis: The Davis Cup and the Grand Slam tournaments (Wimbledon, US Open, Australian Open, and French Open) are associated with tennis.
• The Billi Jean King Cup is associated with women's tennis.
• Basketball: The FIBA Basketball World Cup, Eurobasket, and NBA are associated with basketball.
• Golf: The Canada Cup, Ryder Cup, Walker Cup, and Eisenhower Cup are associated with golf.
• The Solheim Cup is also associated with golf.
• Table tennis: The Corbillon Cup is associated with world table tennis.
• Asian Cup: The Merdeka Cup is associated with the Asian Cup

The correct answer is Jaya Samhita

Key Points 

• Jaya Samhita is the original name of  Mahabharata.
• Mahabharata was written down by Lord Ganesha.
• Mahabharata was narrated by Maharishi Ved Vyasa.
• Mahabharata narrates the struggle between Kaurava and the Panḍava princes and their successors.
• Mahabharata is known as "the longest poem ever written"
• Mahabharata was translated in the Persian which was titled "Razmnama", was produced at Akbar's orders, by Faizi and ʽAbd al-Qadir Badayuni.

Additional Information

• Bhrigu Samhita:
• This is an ancient astrological text attributed to the sage Bhrigu.
• It is believed to contain the records of the planetary positions and influences on individuals' lives based on their birth charts.
• The Bhrigu Samhita is highly regarded in Vedic astrology for its predictions and astrological insights, especially in relation to karma and destiny.
• Shiva Samhita:
• The Shiva Samhita is a classical text on yoga and spiritual practice.
• It is attributed to Lord Shiva and is considered one of the major texts in Hatha Yoga.
• It contains detailed instructions on yogic practices, meditation, and the paths to spiritual enlightenment, focusing on the physical and mental benefits of yoga.
• The text is popular among practitioners of traditional Hatha Yoga.
• Sushruta Samhita:
• The Sushruta Samhita is one of the foundational texts of Ayurveda (the ancient system of medicine from India).
• Attributed to the sage Sushruta, it is particularly focused on surgery and surgical techniques.
• The text is known for its detailed descriptions of surgical instruments, procedures, and anatomy, making it one of the earliest works on surgery in the world.

The correct answer is 1576

Key Points

• The Battle of Haldighati was fought on June 18, 1576 at Haldighati, a mountain pass in the Aravalli Range of Rajasthan, India:
• The battle was fought between the forces of the Mughal emperor Akbar and the forces of Maharana Pratap, the Rajput ruler of Mewar:
• Maharana Pratap's forces included cavalry and archers, while the Mughal forces were led by Man Singh I of Amber.
• Result
• The Mughals technically won the battle, but it was considered indecisive because Maharana Pratap was not captured and he continued to fight.
• The Battle of Haldighati is considered a significant event in the history of the Rajputs.
• It is also known for its ambiguous nature, which has left historians to debate the victor.

Given:

Total amount to be divided = Rs 20,609

Interest rate = 3% per annum compounded yearly

A's amount after 7 years = B's amount after 9 years

Formula Used:

Future Value (FV) = Present Value (PV) × (1 + r)ⁿ

Calculation:

Let A's present amount be Rs x and B's present amount be Rs (20,609 - x).

A's amount after 7 years: x × (1 + 0.03)⁷

B's amount after 9 years: (20,609 - x) × (1 + 0.03)⁹

According to the problem:

x × (1.03)⁷ = (20,609 - x) × (1.03)⁹

⇒ x / (20,609 - x) = (1.03)²

⇒ x / (20,609 - x) = 1.0609

⇒ x = 1.0609 × (20,609 - x)

⇒ x = 21,867.5481 - 1.0609x

⇒ x + 1.0609x = 21,867.5481

⇒ 2.0609x = 21,867.5481

⇒ x = 21,867.5481 / 2.0609

⇒ x ≈ 10,609

Therefore, A's present amount is approximately Rs 10,609 and B's present amount is approximately Rs 10,000.

The correct answer is option 4

The correct answer is Article 123

Key Points

• The power of the President to promulgate ordinances during the recess of Parliament is given under Article 123 of the Indian Constitution.
• This article grants the President the authority to issue ordinances when either House of Parliament is not in session, provided that immediate action is needed.
• The ordinance must be approved by Parliament within six weeks of reassembling.

Additional Information

• Article 63: This article deals with the office of the Vice-President of India. It states that there shall be a Vice-President of India, who is elected in accordance with the provisions of the Constitution.
• Article 352: This article pertains to the Proclamation of Emergency in India. It allows the President to declare a National Emergency (also called a "War Emergency") if the security of India or any part of it is threatened by war, external aggression, or armed rebellion.
• Article 52: This article states that there shall be a President of India. It provides for the existence of the office of the President and sets the foundation for the executive head of the Indian state.

The correct answer is France

Key Points

• Environment ministers of the G7 nations met in France, before the release of what is expected to be another alarming report on the state of the planet.
• Ministers from Britain, Canada, France, Germany, Italy, Japan and the US gathered for the two-day meeting in the city of Metz.
• They were due to discuss measures to tackle deforestation, plastic pollution and the degradation of coral reefs.

Additional Information The Group of Seven (G7) is an informal grouping of seven of the world's advanced economies, including Canada, France, Germany, Italy, Japan, the United Kingdom, and the United States, as well as the European Union

The logic followed here is:

SCHOOL is coded as the number 72

Similarly, FLOWER will be coded as:

Hence, the correct answer is "79".

The correct answer is Lysosomes

Key Points

• Lysosomes are membrane-bound sacs that contain digestive enzymes:
• Lysosomes are organelles in animal cells that contain enzymes that break down biological polymers like proteins, nucleic acids, carbohydrates, and lipids.
• They are involved in various cell processes, such as breaking down excess or worn-out cell parts.
• Lysosomes are also known as "suicidal bags" because of their phagocytic activity

Additional Information

• Mitochondria, Golgi apparatus, and vacuoles are all organelles found in cells, and each has a specific function:
• Mitochondria
• Known as the "powerhouse of the cell", mitochondria are oval-shaped organelles that convert molecules into energy.
• They are the main site of cellular respiration and store energy as ATP molecules.
• Golgi apparatus
• A stack of flat sacs that modifies and transports proteins and lipids.
• It's also known as the Golgi body or Golgi complex.
• Vacuoles
• Sac-like organelles that store and transport materials in the cell.
• Vacuoles are found in animal, protist, fungus, and bacterial cells, but plant cells have large central vacuoles that help with plant growth.
• Other organelles in cells include:
• Nucleus: The largest organelle, containing the cell's genetic information and controlling the cell's activity
• Chloroplasts: The site of photosynthesis in plants and some algae
• Endoplasmic reticulum: Involved with protein manufacture
• Thylakoid vesicles: Contain chlorophyll, which captures the sun's energy

The correct answer is Scanner

Key Points

• A mouse and a scanner are both examples of input devices:
• Input devices
• These devices allow users to interact with and control a computer by sending data to it.
• Examples of input devices include keyboards, mice, scanners, joysticks, microphones, and digital cameras.
• Output devices
• These devices receive data from a computer and convert it into a human-readable form.
• Examples of output devices include monitors, printers, speakers, projectors, and plotters.

The correct answer is Colonel Colin Mackenzie

Key Points

• Colonel Colin Mackenzie was the engineer who discovered the ruins of Hampi in 1800:
• Mackenzie was a British engineer, antiquarian, surveyor, and cartographer who worked for the English East India Company.
• Mackenzie prepared the first survey map of the site, collected manuscripts, and had watercolors painted of the monuments.
• He also gathered information from the priests of the Virupaksha temple and the Pampadevi shrine.
• Mackenzie's work helped bring the ruins of Hampi to the attention of the world, which led to the site's preservation, study, and recognition as a UNESCO World Heritage Site.

Additional Information

• Matthew Boulton (1728–1809):
• An English manufacturer and business partner of James Watt in the development of steam engines.
• Boulton was a key figure in the Industrial Revolution and ran the famous Soho Manufactory in Birmingham, producing metal goods, steam engines, and coins.
• He was also involved in the founding of the Lunar Society of Birmingham.
• Edward Barlow (1626–1705):
• A British naval surgeon, who worked on many ships during the 17th century.
• He is notable for his memoirs detailing his life and the experiences of sailors during his time, offering valuable insight into the medical practices and life at sea during the Age of Sail.
• James Atkinson (1774–1835):
• An English chemist, naturalist, and translator, best known for his work on scientific research and his translations of important texts.
• He contributed to the understanding of the chemistry of gases and also worked in the field of mineralogy.

The logic followed here is:

Eastern Railway, Western Railway, East Coast Railway all are Zones of Indian Railways,

Whereas, West Coast Railway is not a Zone of Indian Railways.

Hence, the correct answer is "West Coast Railway".

As per the question, today is Tuesday.

We have to find the day after 63 days that is the 64^th day.

The numbers of odd days in 63 days are

→ 63/7 = 9 weeks (no odd day)

→ 63 days + 0 odd days

The day on the 63^rd day is Tuesday.

The day in 64^th day will be

Tuesday + 1 day

⇒ Wednesday

Therefore, the correct answer should be "Option 3: Wednesday".

The correct answer is 1984

Key Points

• The Kolkata Metro opened for commercial services on October 24, 1984:
• The  Construction began in 1972
• The first stretch of the metro was between Bhawanipore (now Netaji Bhawan) and Esplanade
• The first stretch was about 3.4 km long
• The Kolkata Metro was India's first operational rapid transit system
• As of 2020, the Kolkata Metro has two operational lines:
• Noapara to Kavi Subhash: This line is 27.22 km long
• Salt Lake Sector V to Phoolbagah: This line is 7.205 km lon

The correct answer is Vitamin B12

Key Points

• Cobalt is a major component of vitamin B12, also known as cobalamin:
• Vitamin B12 is a large, complex molecule that's not found in plants.
• However, if a diet contains enough cobalt, intestinal and ruminal bacteria can synthesize vitamin B12.
• Adults need about 1.5 micrograms of vitamin B12 per day.
• Vitamin B12 is an important micronutrient for many eukaryotic phytoplankton in the marine environment.
• It's also found in very small quantities in seawater.

Additional Information

• Vitamin B1, B3, and B5 are all B vitamins, which are a group of water-soluble vitamins that play important roles in the body's cellular function:
• Vitamin B1 (thiamin): Also known as vitamin F, this vitamin is a sulfur-containing member of the B complex family.
• Vitamin B3 (niacin): Helps the body release energy from food and keeps the nervous system and skin healthy.
• Vitamin B5 (pantothenic acid): One of the eight B vitamins that make up the B complex.
• Here are some other B vitamins:
• Vitamin B2 (riboflavin): Involved in oxidation and reduction reactions
• Vitamin B6 (pyridoxine): Can cause anemia, depression, dermatitis, confusion, skin rashes, and infection if deficient
• Vitamin B7 (biotin): Part of the B complex
• Vitamin B9 (folate): Works with vitamin B12 to synthesize nucleic acid

Formula used:

Converting mixed fraction into improper fraction.

Calculation:

Convert the mixed fraction improper fraction

⇒${58}{\frac{7}{9} }$ = ${58}+{\frac{7}{9} }$ = ${\frac{529}{9} }$

Now, the given expression,

$\sqrt{{58}{\frac{7}{9}}}$ = $\sqrt{{\frac{529}{9} }}$ = $\frac{23}{3}$

Again converting improper fraction to mixed fraction,

$\frac{23}{3}$ =  ${7}{\frac{2}{3}}$

Option 4 is the correct answer.

Given:

A takes time to do a work = 56 days.

B takes time to do the same work = 70 days.

They start the work together.

A left after some days and B finished the remaining work in 34 days.

Formula used:

A will do work in one day = (1/56) of the work.

B will do work in one day = (1/70) of the work.

Calculation:

If they work together then they will do work in one day = (1/56 + 1/70) of the work

⇒9/280 of the work B has completed the work in 34 days after A leaving the work in the middle.

B can do in one day = 1/70 of the work.

So in 34 days, he can do = 34/70 of work.

So work completed by A and B together is = 1 - 34/70 = 36/70 

They together can do in one day = 9/280 of work

They have completed together 36/70 work

So the number of days they work together = (36/70) / (9/280) ⇒ 36/70 × 280/9 = 16 days

∴ A left the work after 16 days.

Given:

p : q = 9 : 2

Formula Used:

Ratio (4p + 7q) : (4p - 7q)

Calculation:

Let p = 9k and q = 2k

4p + 7q = 4 × 9k + 7 × 2k

4p + 7q = 36k + 14k

4p + 7q = 50k

4p - 7q = 4 × 9k - 7 × 2k

4p - 7q = 36k - 14k

4p - 7q = 22k

Ratio (4p + 7q) : (4p - 7q)

⇒ (50k)/(22k)

⇒ 50/22

⇒ 25/11

The ratio (4p + 7q) : (4p - 7q) is 25 : 11

The correct answer is Dobson Unit

Key Points

• The thickness of the ozone layer is measured in Dobson units (DU):
• A DU is a unit of measurement for the total amount of ozone in a vertical column of air above the Earth's surface. It's a convenient way to describe how much ozone would be in a column if it were squeezed into a single layer.
• One DU is equal to the amount of ozone that would form a layer 1 mm thick at sea level if compressed at Standard Temperature and Pressure (STP).
• What is the average ozone layer thickness?
• The average amount of ozone in the atmosphere is about 300 DU, which is equivalent to a layer 3 mm thick.
• British meteorologist G. M. B. Dobson developed a spectrophotometer that could measure stratospheric ozone from the ground.
• He also established a worldwide network of ozone monitoring stations between 1928 and 1958.

Additional Information

• Decibels are a unit of measurement used to express the intensity of sound or the power level of an electrical signal on a logarithmic scale.
• Del Unit
• This term isn't standard or widely recognized in scientific contexts.
• You may mean something like a "Dalton (Da)" (used for atomic mass) or a "unit related to mechanics".
• Sievert (Sv)
• The Sievert is the SI unit of equivalent radiation dose.
• It measures the health effect of ionizing radiation on the human body
• Formula:
• Sievert=absorbed dose (Gray)×radiation weighting factor

The correct answer is the military strategy used by Babur

Key Points

• Tulughama was a military tactic employed by Babur, the founder of the Mughal Empire in India.
• This strategy involved dividing his army into multiple units and using flanking maneuvers to encircle and attack the enemy from multiple directions.
• This technique was effectively used in the Battle of Panipat (1526) and other battles to defeat larger armies.
• The term refers to a flanking and encirclement tactic that divided the army into three key parts:
• Central Force (Main Body): This group formed the core of the army and held the main battle line. It was tasked with engaging the enemy head-on.
• Flanking Forces (Left and Right Wings): These units were mobile and positioned to move swiftly around the enemy.
• Reserve Force (Ambushers): This group was hidden or positioned strategically to attack unexpectedly.
• The main idea was to simulate a retreat by certain parts of the army, luring the enemy into disarray.
• While the enemy pursued the "retreating" forces, the flanking units and reserves would close in, surround them, and attack from multiple directions.

Statements:

1. All goats are cats.

2. All cats are rats.

The least possible Venn diagram:

Conclusions:

1. Some rats are cats - True (Because All cats are rats given. So, Some rats are cats it is definite)

2. All rats are goat - False (Because All goats are cats and All cats are rats given. So, All rats are goat it is not definite)

So, Only conclusion 1 follows.

Hence, the correct answer is "Only conclusion 1 follows".

The correct answer is Gujarat

Key Points

• Dholavira is situated in Gujarat.
• Dholavira, an archaeological site, is associated with the Indus Valley Civilization period.
• Dholavira is an archaeological site at Khadirbet in Bhachau Taluka of Kutch District, in the state of Gujarat in western India, which has taken its name from a modern-day village 1 kilometer south of it.
• This village is 165 km from Radhanpur.
• Also known locally as Kotada timba, the site contains ruins of an ancient Indus Valley Civilization/Harappan city.
• Dholavira’s location is on the Tropic of Cancer.

​

​

Additional Information 

• Dholavira site was discovered in 1967-68 by J. P. Joshi, of the Archaeological Survey of India (ASI), and is the fifth largest of eight major Harappan sites.
• The other major Harappan sites discovered so far are Harappa, Mohenjo-daro, Ganeriwala, Rakhigarhi, Kalibangan, Rupnagar and Lothal.

The logic followed here is:

Logic: National significance of dates.

Here,

15 August : Freedom → 15 August is the day India gained Freedom.

Similarly,

26 January : Constitution → 26 January is the day India adopted its Constitution.

Hence, the correct answer is "Option 4".

The correct answer is Salary of President, Governors, Chief Judges, Judges of High Court and Supreme Court.

Key Points

• The Second Schedule of the Indian Constitution specifies the emoluments for the highest constitutional offices in India.
• This schedule details the salaries and allowances of the President, Governors, Judges of Supreme Court and High Courts, and the Comptroller and Auditor General of India.
• The intention is to ensure that these key officials receive fair remuneration that reflects their responsibilities and the importance of their roles in governance.
• Amendments to this schedule can be made by the Parliament as per Article 360 of the Indian Constitution, ensuring that the salaries remain relevant and appropriate over time.

Additional Information

• Forms of oaths and affirmations:
• These are covered under the Third Schedule of the Indian Constitution.
• It includes the oaths or affirmations for Union Ministers, Parliament members, judges, etc.
• List of states & union territories:
• These are described in the First Schedule of the Indian Constitution.
• It provides details on the territories of the states and union territories, including any changes to their boundaries.
• Allocation of seats in council of states:
• This is outlined in the Fourth Schedule of the Indian Constitution.
• It specifies the number of seats allotted to each state and union territory in the Rajya Sabha (Council of States).
• Salary of President, Governors, Chief Judges, Judges of High Court and Supreme Court:
• Covered under the Second Schedule, it ensures that these important offices are compensated appropriately.
• This includes provisions for their pensions and allowances in addition to their salaries.

Here is the source code for the provided question:

The correct answer is Kazakhstan.

Key Points

• Kazakhstan was the largest producer of uranium in the world in 2019, producing approximately 22,808 tonnes of uranium, which accounts for 42% of the world's total production.
• The country has the largest uranium reserves in the world, which makes it a leading player in the global uranium market.
• Kazakhstan's uranium production is managed by the state-owned company Kazatomprom, which is the largest uranium producer in the world.
• The country's uranium industry is a significant contributor to its economy, providing employment and generating substantial revenue from exports.

Additional Information

• Uranium
• Uranium is a heavy metal that has been used as an abundant source of concentrated energy for over 60 years.
• It is a key element used in nuclear reactors to generate electricity.
• Uranium-235, an isotope of uranium, is used as fuel in nuclear reactors because it is easily split apart in the process of nuclear fission.
• Uranium mining involves extracting uranium ore from the ground, which is then processed to produce yellowcake, a type of uranium concentrate powder.
• Kazatomprom
• Kazatomprom is the national atomic company of Kazakhstan and the world's largest producer of uranium.
• It was founded in 1997 and is headquartered in Astana, Kazakhstan.
• Kazatomprom operates through its subsidiaries and joint ventures in uranium mining, processing, and nuclear fuel production.
• The company adheres to international standards of environmental protection and safety in its operations.
• Global Uranium Market
• The global uranium market is driven by the demand for nuclear energy, which provides a significant portion of the world's electricity.
• Major uranium-producing countries include Kazakhstan, Canada, Australia, Namibia, and Russia.
• The price of uranium is influenced by factors such as supply and demand, geopolitical events, and regulatory changes in the nuclear power industry.
• Uranium is traded on the global market, and its price is often quoted in terms of dollars per pound of U3O8 (triuranium octoxide).

The correct answer is conservation of wetlands.

Key Points

• The Ramsar Convention, also known as the Convention on Wetlands, is an international treaty adopted on 2 February 1971, in the Iranian city of Ramsar.
• The primary aim of the convention is to conserve and ensure the sustainable use of wetlands through local, national, and international cooperation.
• Wetlands are critical ecosystems that provide a range of ecological services such as water filtration, flood control, and habitat for diverse species.
• The convention also promotes the designation of wetlands of international importance (Ramsar Sites) and encourages countries to manage them effectively.

Additional Information

• Convention on Biological Diversity (CBD)
• The CBD is an international treaty aimed at conserving biological diversity, promoting sustainable use of its components, and ensuring the fair and equitable sharing of benefits arising from genetic resources.
• It was adopted during the Earth Summit in Rio de Janeiro in 1992 and entered into force in December 1993.
• The CBD has three main objectives: the conservation of biodiversity, sustainable use of its components, and the equitable sharing of benefits from the use of genetic resources.
• The treaty is legally binding, and countries that are parties to the CBD are required to implement its provisions.
• Montreal Protocol
• The Montreal Protocol on Substances that Deplete the Ozone Layer is an international treaty designed to protect the ozone layer by phasing out the production and consumption of ozone-depleting substances (ODS).
• It was agreed upon on 16 September 1987 and entered into force on 1 January 1989.
• The protocol has been successful in reducing the global production and consumption of ODS, leading to a gradual recovery of the ozone layer.
• The treaty is considered one of the most successful environmental agreements, with universal ratification by all countries.
• United Nations Framework Convention on Climate Change (UNFCCC)
• The UNFCCC is an international environmental treaty aimed at addressing climate change by reducing greenhouse gas emissions and enhancing global responses to climate change.
• It was adopted at the Earth Summit in Rio de Janeiro in 1992 and entered into force on 21 March 1994.
• The treaty established a framework for negotiating specific international treaties (protocols) that may set binding limits on greenhouse gas emissions.
• The Kyoto Protocol and the Paris Agreement are two significant agreements under the UNFCCC framework.

The correct Dictionary order is:

1. Possess
2. Process
3. Propose
4. Purpose

Hence, the correct answer is "Option 4".

Calculation:

From the given expression, we can defined the range of x:

x ≠ - (25/8)

Convert the mixed fraction into improper fraction:

$\frac{6}{5} - \frac{14}{5} ÷\frac{7}{4} ÷(x+\frac{25}{8}) ÷ \frac{8}{7}=1$

Convert division into multiplication by reciprocate the fraction,

$\frac{6}{5} - \frac{14}{5} .\frac{4}{7} ÷(x+\frac{25}{8}) . \frac{7}{8}=1$

Cancel out the common factors,

$\frac{6}{5} - {14}.(\frac{1}{8x +25}) =1$

$- (\frac{14}{8x +25}) =1 - \frac{6}{5}$

$- \frac{14}{8x +25} =- \frac{1}{5}$

Change the sign on both the side of equation,

$\frac{14}{8x +25} = \frac{1}{5}$

70 = 8x + 25

-8x = 25 - 70

-8x = -45

x = 45/8

convert the improper fraction into a mixed fraction.

x = ${5}{\frac{5}{8}}$

Option 3 is the correct answer.

Given:

A sequence of numbers leaves the remainders 1, 2, and 7 when divided by 2, 3, and 8 respectively.

Formula Used:

Chinese Remainder Theorem for solving simultaneous congruences:

$x \equiv a_1 \mod{n_1}$

$x \equiv a_2 \mod{n_2}$

$x \equiv a_3 \mod{n_3}$

Calculation:

We need to find the smallest positive integer x such that:

$x \equiv 1 \mod{2}$

$x \equiv 2 \mod{3}$

$x \equiv 7 \mod{8}$

Let's solve the first two congruences:

$x \equiv 1 \mod{2} \Rightarrow x = 2k + 1$ for some integer k.

Substitute in the second congruence:

$2k + 1 \equiv 2 \mod{3}$

$2k \equiv 1 \mod{3}$

$k \equiv 2 \mod{3}$ (since the multiplicative inverse of 2 mod 3 is 2)

$k = 3m + 2$ for some integer m.

Substitute back:

$x = 2(3m + 2) + 1$

$x = 6m + 5$

Now, consider the third congruence:

$6m + 5 \equiv 7 \mod{8}$

$6m \equiv 2 \mod{8}$

$3m \equiv 1 \mod{4}$ (since 6 ≡ 3 mod 8)

$m \equiv 3 \mod{4}$ (since the multiplicative inverse of 3 mod 4 is 3)

$m = 4n + 3$ for some integer n.

Substitute back:

$x = 6(4n + 3) + 5$

$x = 24n + 18 + 5$

$x = 24n + 23$

Thus, the sequence is of the form $x = 24n + 23$.

We need the second term in this sequence:

For $n = 1$:

$x = 24(1) + 23$

$x = 47$

The second term in the sequence is 47.

Statements:

1. All boys are chefs.

2. All chefs are villagers.

The least possible Venn diagram:

Conclusions:

1. All boys are villages. - True (Because All boys are chefs and All chefs are villagers. So, All boys are villages it is definite)

2. All Chefs are boys - False (Because All boys are chefs. So, All Chefs are boys it cannot be possible)

So, Only conclusion 1 follows.

Hence, the correct answer is "Only conclusion 1 follows".

The correct answer is Quit India.

Key Points

• The Quit India Movement, also known as the August Kranti, was launched by Mahatma Gandhi on 8 August 1942 during World War II, demanding an end to British rule in India.
• The movement was a mass protest involving millions of Indians, including significant participation from students, workers, and peasants.
• Gandhi gave the call for "Do or Die" in his Quit India speech delivered at the Gowalia Tank Maidan in Mumbai.
• Despite the British government's severe repression, the movement marked a crucial turning point in the Indian independence struggle, galvanizing the Indian population against colonial rule.

Additional Information

• Khilafat Movement
• The Khilafat Movement (1919-1924) was a pan-Islamist political campaign launched by Muslims in British India to influence the British government and protect the Ottoman Caliphate after World War I.
• It was initiated by leaders like Maulana Shaukat Ali, Maulana Mohammad Ali Jauhar, and Abul Kalam Azad.
• The movement also aimed to bring Hindus and Muslims together in the struggle against British colonial rule.
• However, it lost momentum after the abolition of the Caliphate in Turkey in 1924.
• Home Rule Movement
• The Home Rule Movement was led by Bal Gangadhar Tilak and Annie Besant between 1916 and 1918.
• It aimed at achieving self-governance within the British Empire for India.
• The movement used a moderate approach, focusing on petitions and public meetings to build national consciousness.
• It laid the groundwork for more radical movements and played a key role in uniting Indian leaders and the public.
• Swadeshi Movement
• The Swadeshi Movement was part of the Indian independence movement and was a response to the British Partition of Bengal in 1905.
• It encouraged Indians to boycott British goods and promote Indian-made products.
• The movement saw the rise of nationalistic pride and economic self-sufficiency.
• It also led to the establishment of various indigenous industries, schools, and national institutions.

Given:

We need to find the value of sin 15^o.

Formula Used:

sin (A - B) = sin A cos B - cos A sin B

Calculation:

We can use the angle subtraction formula for sine:

15^o = 45^o - 30^o

So,

sin 15^o = sin (45^o - 30^o)

Using the angle subtraction formula:

sin (45^o - 30^o) = sin 45^o cos 30^o - cos 45^o sin 30^o

We know that:

sin 45^o = $\frac{√(2)}{2}$

cos 30^o = $\frac{√(3)}{2}$

cos 45^o = $\frac{√(2)}{2}$

sin 30^o = $\frac{1}{2}$

So,

sin 15^o = $\frac{√(2)}{2} × \frac{√(3)}{2} - \frac{√(2)}{2} × \frac{1}{2}$

⇒ sin 15^o = $\frac{√(6)}{4} - \frac{√(2)}{4}$

⇒ sin 15^o = $\frac{√(6) - √(2)}{4}$

The value of sin 15^o is $\frac{\sqrt{6} - \sqrt{2}}{4}$

The logic followed here is:

Hence, the correct answer is "30".

The logic followed here is:

Hence, the correct answer is "36".

Given:

a + b = 5

a² – b² = 75

Formula Used:

a² – b² = (a + b)(a – b)

Calculation:

Given: a + b = 5

a² – b² = 75

Using the formula: a² – b² = (a + b)(a – b)

⇒ 75 = 5(a – b)

⇒ a – b = 75 / 5

⇒ a – b = 15

Now, we have the system of equations:

1. a + b = 5

2. a – b = 15

Adding the two equations:

⇒ (a + b) + (a – b) = 5 + 15

⇒ 2a = 20

⇒ a = 20 / 2

⇒ a = 10

Substituting the value of a in a + b = 5:

⇒ 10 + b = 5

⇒ b = 5 – 10

⇒ b = -5

Therefore, a = 10 and b = -5

Finding the value of ab:

ab = 10 × (-5)

ab = -50

The value of ab is -50.

The correct answer is option 3.

The correct answer is Cysteine.

Key Points

• Cysteine is an amino acid that contains sulfur in its structure.
• It is one of the non-essential amino acids, which means the body can synthesize it.
• Cysteine plays a crucial role in the biosynthesis of proteins, glutathione, and coenzyme A.
• It is important for the stability of protein structures due to the formation of disulfide bonds.

Additional Information

• Amino Acids
• Amino acids are organic compounds that combine to form proteins, which are the building blocks of life.
• There are 20 standard amino acids, which can be categorized into essential and non-essential amino acids.
• Essential amino acids cannot be made by the body and must be obtained from the diet.
• Non-essential amino acids can be synthesized by the body.
• Sulfur-Containing Amino Acids
• Two of the 20 standard amino acids contain sulfur: cysteine and methionine.
• Sulfur-containing amino acids are important for various metabolic processes and the synthesis of important biomolecules.
• They are also crucial for the structure and function of proteins.
• Cysteine
• Cysteine is involved in the detoxification processes in the liver.
• It is a precursor to the antioxidant glutathione, which helps protect cells from oxidative damage.
• Cysteine is also involved in the formation of disulfide bonds, which help stabilize the three-dimensional structure of proteins.
• Disulfide Bonds
• Disulfide bonds are covalent bonds that form between the sulfur atoms of two cysteine residues within or between protein molecules.
• They play a critical role in maintaining the stability and functionality of proteins.
• The formation of disulfide bonds is a post-translational modification that occurs in the endoplasmic reticulum.

The correct answer is Carolus Linnaeus.

Key Points

• Carolus Linnaeus, also known as Carl Linnaeus, was a Swedish botanist, physician, and zoologist who formalized the modern system of naming organisms called binomial nomenclature.
• Linnaeus is often referred to as the "father of modern taxonomy" because of his significant contributions to the classification of living organisms.
• His work "Systema Naturae," published in 1735, laid the foundation for the naming and classification of plants and animals.
• In the Linnaean system, each organism is given a two-part Latin name consisting of the genus name and the species name, which provides a unique identifier for each species.

Additional Information

• Binomial Nomenclature:
• Binomial nomenclature is a formal system of naming species of living things by giving each a name composed of two parts, both of which use Latin grammatical forms.
• The first part of the name identifies the genus to which the species belongs, and the second part identifies the species within the genus.
• This system of naming ensures that each species has a unique and universally accepted scientific name.
• For example, the scientific name for humans is Homo sapiens, where Homo is the genus and sapiens is the species.
• Taxonomy:
• Taxonomy is the science of defining and naming groups of biological organisms on the basis of shared characteristics.
• Organisms are grouped into taxa and these groups are given a taxonomic rank; groups of a given rank can be aggregated to form a super group of higher rank, thus creating a taxonomic hierarchy.
• The principal ranks in modern use are domain, kingdom, phylum, class, order, family, genus, and species.
• Systema Naturae:
• Systema Naturae is one of the major works of Carl Linnaeus and introduced the Linnaean taxonomy.
• The first edition was published in 1735, and it underwent many revisions throughout Linnaeus's life.
• It classified thousands of species of plants and animals and laid the groundwork for modern biological classification.
• Importance of Scientific Naming:
• Scientific names avoid the confusion created by common names that vary by region and language.
• They provide a standardized way to refer to species, making it easier for scientists to communicate about them across different regions and languages.
• Scientific names also provide information about the relationships between different species, reflecting their evolutionary history.

The correct answer is 12.

Key Points

• A sucrose molecule is composed of two monosaccharides: glucose and fructose.
• Glucose and fructose are both hexose sugars, meaning they each contain six carbon atoms.
• When glucose (C6H12O6) and fructose (C6H12O6) combine to form sucrose, a water molecule (H2O) is removed.
• Therefore, the molecular formula of sucrose is C12H22O11, indicating that it contains 12 carbon atoms.

Additional Information

• Monosaccharides
• These are the simplest form of carbohydrates and cannot be hydrolyzed to simpler chemical compounds.
• Examples include glucose, fructose, and galactose.
• Monosaccharides are the building blocks of more complex sugars such as disaccharides and polysaccharides.
• Disaccharides
• These are carbohydrates formed by the combination of two monosaccharides.
• Examples include sucrose (glucose + fructose), lactose (glucose + galactose), and maltose (glucose + glucose).
• They are broken down into their constituent monosaccharides during digestion.
• Polysaccharides
• These are large, complex carbohydrates composed of long chains of monosaccharide units.
• Examples include starch, glycogen, and cellulose.
• They serve various functions such as energy storage (starch, glycogen) and structural support (cellulose in plants).
• Hydrolysis
• This is a chemical process that involves the breakdown of a compound due to a reaction with water.
• In the context of carbohydrates, hydrolysis breaks down disaccharides and polysaccharides into monosaccharides.
• For example, the hydrolysis of sucrose yields glucose and fructose.

The correct answer is Muhammad Husayn.

Key Points

• Muhammad Husayn was one of the most distinguished calligraphers during the reign of Emperor Akbar.
• He was honoured with the title 'Zarrin Qalam' which means 'golden pen'.
• His work was highly regarded and he played a significant role in the cultural and artistic development of Akbar's court.
• Muhammad Husayn’s calligraphy was notable for its elegance and precision, earning him a place of high esteem among his contemporaries.

Additional Information

• Calligraphy
• Calligraphy is a visual art related to writing. It is the design and execution of lettering with a broad-tipped instrument, brush, or other writing instruments.
• In the context of Islamic art, calligraphy is a highly venerated form of artistic expression, often used to transcribe verses from the Quran.
• Akbar's Court
• Akbar the Great (1556-1605) was the third Mughal Emperor who is known for his cultural and administrative achievements.
• His court was a hub of artistic and intellectual activities, attracting talents from various fields including literature, music, painting, and calligraphy.
• Akbar's patronage played a crucial role in the development of Mughal art and culture.
• Abul Fazal
• Abul Fazal was a historian and one of the nine jewels (Navaratnas) of Akbar's court.
• He authored the Akbarnama, the official history of Akbar's reign in three volumes.
• Daswant and Basawan
• Daswant and Basawan were prominent painters at Akbar's court known for their contributions to the Mughal school of painting.
• They were instrumental in the development of the miniature painting style that characterized Mughal art.

The correct answer is Uttar Pradesh.

Key Points

• Uttar Pradesh is one of the northern states of India.
• It is the most populous state in India, with over 200 million inhabitants.
• The state has a significant cultural heritage, with cities like Agra and Varanasi being major cultural centers.
• Despite its large population, Uttar Pradesh has a smaller geographical area compared to states like Rajasthan, Maharashtra, and Madhya Pradesh.

Additional Information

• Rajasthan:
• Rajasthan is the largest state in India by area.
• It is located in the northwestern part of India.
• Known for its desert landscapes and vibrant culture.
• Maharashtra:
• Maharashtra is the second-most populous state in India.
• It is located in the western part of India.
• Home to Mumbai, the financial capital of India.
• Uttar Pradesh:
• Uttar Pradesh is the fourth largest state in India by area.
• Located in the northern part of India.
• Known for its historical and religious significance.
• Madhya Pradesh:
• Madhya Pradesh is the second-largest state in India by area.
• It is located in the central part of India.
• Known as the "Heart of India" due to its geographical location.

The correct answer is abolition of the practice of untouchability.

Key Points

• Article 17 of the Indian Constitution explicitly abolishes "untouchability" and forbids its practice in any form.
• It mandates that the enforcement of any disability arising out of "untouchability" shall be an offence punishable in accordance with law.
• The Article is a fundamental right and is enforceable in the courts of law.
• Article 17 is part of the Right to Equality, which spans Articles 14 to 18 in the Indian Constitution.

Additional Information

• Right to Education
• Article 21A of the Indian Constitution mandates free and compulsory education for children aged 6 to 14 years.
• This was added by the 86th Amendment Act in 2002.
• Right to Freedom of Religion
• Articles 25 to 28 of the Indian Constitution guarantee freedom of religion to all citizens.
• These articles provide the right to freely profess, practice, and propagate religion.
• Joint Sitting of Both Houses in Certain Cases
• Article 108 of the Indian Constitution provides for a joint sitting of both Houses of Parliament to resolve a deadlock on a bill.
• This is convened by the President of India.

The correct answer is RISAT-2B.

Key Points

• RISAT-2B is a radar imaging earth observation satellite developed by ISRO.
• It uses X-band synthetic aperture radar (SAR) which allows it to capture high-resolution images regardless of weather conditions.
• RISAT-2B was launched on May 22, 2019, from the Sriharikota Range.
• The satellite enhances India's capability in applications such as agriculture, forestry, and disaster management support.

Additional Information

• X-band Synthetic Aperture Radar (SAR)
• SAR is a form of radar that is used to create two-dimensional images or three-dimensional reconstructions of objects, such as landscapes.
• X-band refers to the frequency range of the radar waves, which is typically between 8 to 12 GHz.
• X-band SAR is known for its high resolution and is commonly used in earth observation satellites.
• This technology allows the satellite to capture images in all weather conditions, during day and night.
• RISAT-2B
• RISAT stands for Radar Imaging Satellite.
• It is part of India's RISAT series of satellites, which are used for reconnaissance and earth observation.
• RISAT-2B provides all-weather surveillance using its X-band SAR payload.
• Its primary applications include monitoring agriculture, forestry, soil moisture, and disaster management.
• ISRO (Indian Space Research Organisation)
• ISRO is the space agency of the Government of India, headquartered in Bengaluru.
• It is responsible for advancing space technology and using its applications for various national tasks.
• ISRO has successfully launched numerous satellites into space, including communication, earth observation, and interplanetary missions.
• Notable missions include the Mars Orbiter Mission (Mangalyaan) and the Chandrayaan missions to the moon.

Given:

x = ${\sqrt{3} + {1}\over \sqrt3 - 1}$ and y = ${\sqrt{3} - {1}\over \sqrt3 + 1}$

Formula used:

(a + b)(a - b) = a² - b²

Calculation:

Substitute the given value of x and y in the expression:

⇒3(x + y)

⇒3 (${\sqrt{3} + {1}\over \sqrt3 - 1}$ + ${\sqrt{3} - {1}\over \sqrt3 + 1}$ )

Taking LCM and solving for x:

⇒3 $[{(\sqrt{3} + {1})^2 + (\sqrt{3} - {1})^2\over( \sqrt3 - 1)( \sqrt3 +1}]$

⇒3 $[{(3 + 1+ 2\sqrt{3}) + (3 + 1 - 2\sqrt{3})\over(3 - 1)}]$

⇒3. $\frac{8}{2}$ 

⇒3 ×4 

⇒12

Option 3 is the correct answer.

The correct answer is Intelligence satellite.

Key Points

• EMISAT is a satellite launched by ISRO primarily for electronic intelligence gathering.
• It was launched on April 1, 2019, using the PSLV-C45 rocket.
• The satellite is intended to gather information related to radar signals and other electronic emissions.
• EMISAT is equipped with advanced payloads to support strategic and defense purposes for India.

Additional Information

• Remote-sensing satellite:
• These satellites are used for observing and gathering data about the Earth's surface.
• They play a crucial role in agriculture, forestry, land-use mapping, urban planning, and disaster management.
• ISRO has launched several remote-sensing satellites, including the Cartosat and Resourcesat series.
• Communications satellite:
• These satellites enable telecommunication, broadcasting, and internet services.
• They relay signals between different points on Earth, ensuring seamless communication over long distances.
• ISRO's GSAT series are examples of communications satellites.
• Navigation satellite:
• These satellites are part of a system that provides geolocation and time information to users on Earth.
• ISRO's Indian Regional Navigation Satellite System (IRNSS), also known as NavIC, is an example of a navigation satellite system.
• They are crucial for applications such as aviation, maritime navigation, and personal navigation devices.
• Intelligence satellite:
• These satellites are designed for military and intelligence-gathering purposes.
• They can intercept signals, monitor radar emissions, and provide strategic information to defense forces.
• EMISAT is an example of an intelligence satellite launched by ISRO.

The correct answer is 40.

Key Points

• 1 nibble is equal to 4 bits.
• Therefore, 10 nibbles will be equal to 10 * 4 = 40 bits.
• Nibbles are used in computing to represent four binary digits or half of an 8-bit byte.
• This makes it easier to manage and process data in computing systems.

Additional Information

• Bits: The smallest unit of data in a computer, representing a binary value of 0 or 1.
• Bytes: A group of 8 bits, often used to encode a single character of text in a computer.
• Nibbles: A nibble is half a byte, consisting of 4 bits. It is used to represent hexadecimal digits, which range from 0 to F.
• Hexadecimal System: A base-16 numbering system used in mathematics and computing, utilizing digits 0-9 and letters A-F to represent values.
• Binary System: A base-2 numbering system used internally by almost all modern computers and computer-based devices because it is straightforward to implement with digital electronic circuitry.

The correct answer is 1988.

Key Points

• The National Highways Authority of India (NHAI) was established by an act of Parliament in 1988.
• The main objective of NHAI is to develop, maintain, and manage the national highways and other major roads in India.
• NHAI operates under the administrative control of the Ministry of Road Transport and Highways.
• It is responsible for implementing the National Highways Development Project (NHDP), which is one of the largest highway projects in the world.

Additional Information

• National Highways Development Project (NHDP)
• The NHDP is a project aimed at upgrading, rehabilitating, and widening major highways in India to international standards.
• The project is divided into several phases, each targeting different sections of the highways for development.
• One of the key components of NHDP is the Golden Quadrilateral, which connects four major cities: Delhi, Mumbai, Chennai, and Kolkata.
• The NHDP also includes the North-South and East-West corridors, which further enhance connectivity across the country.
• Ministry of Road Transport and Highways
• This ministry is a branch of the Government of India responsible for the development and maintenance of national highways and roads.
• It oversees policies and programs related to road transport and safety, aiming to improve the road infrastructure in India.
• The ministry works in conjunction with NHAI to implement various road projects and initiatives.
• Bharatmala Pariyojana
• Bharatmala Pariyojana is a centrally-sponsored and funded road and highways project of the Government of India.
• The project focuses on optimizing the efficiency of freight and passenger movement across the country by bridging critical infrastructure gaps.
• It aims to develop around 34,800 kilometers of highways in the first phase, enhancing connectivity across various regions.

Given:

A square park is surrounded by a path of uniform width 1.5 m all around it.

The area of the path is 225 m².

Formula Used:

Area of the path = Area of the outer square - Area of the inner square

Perimeter of the inner square = 4 × side length of the inner square

Calculation:

Let the side length of the inner square be a meters.

Then, the side length of the outer square = a + 3 meters (since the path is 1.5 m wide on each side).

Area of the inner square = a²

Area of the outer square = (a + 3)²

Area of the path = Area of the outer square - Area of the inner square

225 = (a + 3)² - a²

⇒ 225 = a² + 6a + 9 - a²

⇒ 225 = 6a + 9

⇒ 6a = 225 - 9

⇒ 6a = 216

⇒ a = 216 / 6

⇒ a = 36 meters

Perimeter of the inner square = 4 × a

Perimeter = 4 × 36

Perimeter = 144 meters

The perimeter of the park is 144 meters.

Given:

82% of a number is 738.

Formula Used:

Let the number be x.

82% of x = 738

To find 90% of x, we use the formula: 90% × x

Calculation:

82% of x = 738

⇒ (82/100) × x = 738

⇒ x = (738 × 100) / 82

⇒ x = 73800 / 82

⇒ x ≈ 900

Now, 90% of x is:

⇒ 90% × 900

⇒ (90/100) × 900

⇒ 0.9 × 900

⇒ 810

90% of the number is 810.

Given: 4th March 2018 was Wednesday.

Now,

2018 to 2019 = 1 Year (1 Ordinary Year).

And, In 1 Year = 1 Ordinary Year.

So, 1 Ordinary Year has 1 odd day.

then, 4th March 2019 will be Wednesday + 1 = Thursday.

Now, the number of days between 4th March 2019 to 7th March 2019

= 3 days.

So, 7th March 2019 will be Thursday + 3 = Sunday.

Hence, the correct answer is "Option 1".

The correct answer is Nagpur.

Key Points

• The National Environmental Engineering Research Institute (NEERI) is a research institute created and funded by the Government of India.
• NEERI was established in Nagpur in 1958 and is a part of the Council of Scientific and Industrial Research (CSIR).
• The institute focuses on research and innovations in environmental science and engineering to address environmental issues and promote sustainable development.
• NEERI conducts research in various areas including air pollution, water pollution, solid waste management, and environmental impact assessment.

Additional Information

• National Environmental Engineering Research Institute (NEERI)
• NEERI is one of the premier research institutions in India, dedicated to the study and resolution of environmental issues through scientific research and technological innovation.
• The institute has a multidisciplinary team of scientists and engineers working on various environmental challenges.
• NEERI’s mission is to support sustainable development through scientific and technological solutions for environmental protection and management.
• The institute has several regional centers across India, including in Delhi, Mumbai, Chennai, Kolkata, and Hyderabad, to address region-specific environmental problems.
• Council of Scientific and Industrial Research (CSIR)
• CSIR is an autonomous body under the Ministry of Science and Technology, Government of India.
• It is one of the largest publicly funded research and development organizations in the world.
• CSIR covers a wide spectrum of scientific and industrial research, from aerospace engineering to structural engineering, from oceanography to genomics.
• CSIR has played a pivotal role in the development of India’s scientific and technological capabilities.
• Environmental Impact Assessment (EIA)
• EIA is a process used to evaluate the environmental effects of a proposed project or development before it is carried out.
• The aim of EIA is to ensure that decision-makers consider the environmental impacts when deciding whether to proceed with a project.
• EIA involves the assessment of potential impacts on air, water, soil, flora, fauna, and human health.
• It also considers socio-economic impacts and provides mitigation measures to minimize negative effects.

Given:

A sum triples itself in 8 years at simple interest.

Formula Used:

Simple Interest, SI = (P × R × T) / 100

Total amount, A = P + SI

Calculation:

Let the principal amount be P.

After 8 years, the sum triples itself, so the total amount A = 3P.

Simple Interest (SI) for 8 years = 3P - P = 2P

Using the formula for Simple Interest:

SI = (P × R × 8) / 100

⇒ 2P = (P × R × 8) / 100

⇒ 2 = (R × 8) / 100

⇒ R = (2 × 100) / 8

⇒ R = 25%

Now, we need to find the total amount after 12 years:

Simple Interest for 12 years = (P × R × 12) / 100

⇒ SI = (P × 25 × 12) / 100

⇒ SI = 3P

Total amount after 12 years, A = P + SI

⇒ A = P + 3P

⇒ A = 4P

The total amount after 12 years will be 4 times of itself.

Calculation:

Let, x = $\left(a - \frac{1}{a}\right)$

To solve this, let's start by squaring both sides of the equation x = $\left(a - \frac{1}{a}\right)$

When we square x, we get:

x² = $\left(a - \frac{1}{a}\right)^2$

Using the identity for squaring a binomial:

x² = a² - 2(a)(1/a) + 1/a²

Simplifying the middle term, (a)(1/a) = 1, so the equation becomes:

x² = a² - 2 + 1/a²

Substitute the given value of a² + 1/a²

We know from the given information that:

a² + 1/a² = 18

So, substitute this value into the equation for x²:

x² = 18 - 2

x² = 16

Solve for x:

Now, take the square root of both sides:

x = ±4

Option 3 is the correct answer.

The correct answer is Jabalpur - Jhelum river.

Key Points

• Jabalpur is a city located in the central part of India, in the state of Madhya Pradesh.
• The city of Jabalpur is actually situated on the banks of the Narmada river, not the Jhelum river.
• The Jhelum river flows through the Kashmir Valley, in the northern part of India, and is not associated with Jabalpur.
• This mismatch makes option 4 incorrect, as the other city-river pairs are correctly matched.

Additional Information

• Surat - Tapti river
• Surat is a city in the western Indian state of Gujarat.
• The Tapti river (also known as Tapi) flows westwards through central India and passes through Surat before emptying into the Arabian Sea.
• Lucknow - Gomati river
• Lucknow is the capital city of the northern Indian state of Uttar Pradesh.
• The Gomati river, a tributary of the Ganges, flows through Lucknow, providing the city with water resources.
• Ujjain - Kshipra river
• Ujjain is an ancient city in the central Indian state of Madhya Pradesh.
• The Kshipra river flows through Ujjain and is considered sacred in Hinduism, hosting the Kumbh Mela festival.
• Jabalpur - Narmada river
• Jabalpur, located in Madhya Pradesh, is situated on the banks of the Narmada river.
• The Narmada is one of the major rivers in central India and is considered one of the seven holy rivers of India.

The correct answer is Kento Momota.

Key Points

• Kento Momota is a Japanese badminton player known for his explosive playing style and incredible agility on the court.
• He won the All England Open Badminton Championships Men's Singles title in 2019 by defeating Viktor Axelsen in the final.
• Kento Momota has been ranked as the world's number one male singles player by the Badminton World Federation (BWF).
• He has won numerous titles, including the World Championships and the Asian Championships, making him one of the most successful badminton players in recent history.

Additional Information

• All England Open Badminton Championships
• The All England Open Badminton Championships is one of the oldest and most prestigious badminton tournaments in the world.
• It is held annually in Birmingham, England, and is part of the BWF World Tour Super 1000 series.
• The tournament attracts top badminton players from around the globe, competing for one of the most coveted titles in the sport.
• Badminton World Federation (BWF)
• The BWF is the international governing body for the sport of badminton, recognized by the International Olympic Committee (IOC).
• Founded in 1934, the BWF is responsible for the regulation, promotion, and development of badminton worldwide.
• The BWF organizes major international tournaments, including the World Championships, the Thomas & Uber Cup, and the Sudirman Cup.
• Viktor Axelsen
• Viktor Axelsen is a Danish badminton player who has been a prominent figure in international badminton.
• He won the gold medal in Men's Singles at the 2020 Tokyo Olympics.
• Axelsen has also secured numerous titles, including the World Championships and the European Championships.
• Playing Style of Kento Momota
• Kento Momota is known for his exceptional defensive skills and ability to control rallies with his precise shot placement.
• His agility and quick reflexes make him a formidable opponent on the court.
• Momota's strategic gameplay and mental toughness have contributed to his success in international badminton.

The correct answer is thermal power stations.

Key Points

• The Damodar Valley Corporation (DVC) is a statutory body established in 1948 under the Damodar Valley Corporation Act, 1948.
• DVC operates several thermal power stations in the Damodar River region of West Bengal and Jharkhand.
• DVC's power plants contribute significantly to the power supply in the region, making it a key player in the energy sector.
• The corporation's thermal power plants have a combined installed capacity of over 6,000 MW, making it one of the largest power producers in India.

Additional Information

• Damodar Valley Corporation (DVC)
• DVC was the first multipurpose river valley project undertaken by the Government of India after independence.
• The main objectives of DVC include flood control, irrigation, generation, and transmission of electric power, and the promotion of public health and agriculture within the Damodar Valley region.
• DVC operates several thermal power stations, including the ones at Bokaro, Chandrapura, Mejia, and Durgapur.
• In addition to thermal power generation, DVC also engages in hydroelectric power generation, coal mining, and the development of infrastructure such as irrigation canals and dams.
• Thermal Power Stations
• Thermal power stations convert heat energy from burning fossil fuels such as coal, oil, or natural gas into electrical energy.
• The process involves heating water in a boiler to produce steam, which then drives a steam turbine connected to an electricity generator.
• Thermal power plants are a major source of electricity and play a crucial role in meeting the energy demands of a country.
• Environmental concerns related to thermal power plants include air pollution from the burning of fossil fuels and the disposal of ash and other waste products.

Given:

The domain of cosec x is:

Formula Used:

The cosecant function, $\csc x$, is defined as $\csc x = \frac{1}{\sin x}$. Therefore, it is undefined when $\sin x = 0$.

Calculation:

$\sin x = 0 \text{ at } x = n\pi \text{ where } n \in Z \text{ (Z is the set of all integers)}.$

Therefore, $\csc x$ is undefined at these points.

Hence, the domain of $\csc x$ is all real numbers except where $\sin x = 0$.

Domain of $\csc x$ = $R - {n\pi | n \in Z}$

The correct answer is option 1.

Given:

Options: 213, 173, 123, 143

Formula Used:

A prime number is a natural number greater than 1 that has no positive divisors other than 1 and itself.

Calculation:

Check each option:

213: Divisible by 3 (213 = 3 × 71)

173: Not divisible by any number other than 1 and 173

123: Divisible by 3 (123 = 3 × 41)

143: Divisible by 11 (143 = 11 × 13)

⇒ 173 is a prime number.

The correct answer is option 2.

Given:

Mode = 25.2

Mean = 27.5

Formula Used:

For a moderately asymmetrical distribution:

$Mean - Mode ≈ 3(Mean - Median)$

Calculation:

Given:

Mean = 27.5

Mode = 25.2

Let's find the Median:

Mean - Mode = 3(Mean - Median)

Substitute the given values:

27.5 - 25.2 = 3(27.5 - Median)

⇒ 2.3 = 3(27.5 - Median)

⇒ 2.3 / 3 = 27.5 - Median

⇒ 0.7667 ≈ 27.5 - Median

⇒ Median ≈ 27.5 - 0.7667

⇒ Median ≈ 26.7333

The value of the median of the distribution is approximately 26.73.

The logic followed here is:

Hence, the correct answer is "EM".

The correct answer is 0.1.

Key Points

• In India, the GST (Goods and Services Tax) is levied at various rate slabs.
• The GST rate slabs are 0%, 5%, 12%, 18%, and 28%.
• The rate of 0.1% is not a standard GST rate slab in India.
• Common GST rates include 5%, 12%, 18%, and 28% for different categories of goods and services.

Additional Information

• GST (Goods and Services Tax)
• GST is an indirect tax that has replaced many indirect taxes in India such as the excise duty, VAT, services tax, etc.
• It is a single tax on the supply of goods and services, right from the manufacturer to the consumer.
• GST is categorized into CGST (Central GST), SGST (State GST), IGST (Integrated GST), and UTGST (Union Territory GST).
• The GST Council, which includes representatives from the central and state governments, determines the tax rates, rules, and regulations.
• GST Rate Slabs
• There are five primary GST rate slabs in India: 0%, 5%, 12%, 18%, and 28%.
• Essential items are either exempt or taxed at a lower rate, while luxury items and sin goods attract the highest rate of 28%.
• The GST rates are determined based on the type of goods and services provided.
• GST Council
• The GST Council is a constitutional body for making recommendations to the Union and State Government on issues related to GST.
• The council is chaired by the Union Finance Minister and includes the Finance Ministers of all the states.
• The council determines the tax rate, exemptions, and thresholds for the application of GST.

The logic followed here is:

Logic: Performance and Venue.

Here,

Music : Concert → Concert is a venue where music performances take place.

Similarly,

Acting : Theatre → Theatre is a venue where acting performances take place.

Hence, the correct answer is "Option 1".

The logic followed here is:

Cow, Goat, Rabbit all are Herbivores,

Whereas, Cat is Carnivores.

Hence, the correct answer is "Cat".

Given:

Values: 2.2, 4.2, 6.4, 8.3, 10.5

Formula Used:

Mean = (Sum of all values) / (Number of values)

Calculation:

Sum of values = 2.2 + 4.2 + 6.4 + 8.3 + 10.5

⇒ Sum of values = 31.6

Number of values = 5

Mean = 31.6 / 5

⇒ Mean = 6.32

The mean for the given set of values is 6.32

The correct answer is Sikkim.

Key Points

• Sikkim is a state in northeastern India.
• It shares international borders with China to the north and northeast, Bhutan to the east, and Nepal to the west.
• Sikkim is also bordered by the Indian state of West Bengal to the south.
• It is the least populous and second smallest among the Indian states.

Additional Information

• Geopolitical Significance of Sikkim
• Sikkim's strategic location makes it a crucial state in terms of India's national security.
• The state is a key point for India's defense against potential threats from China, given its close proximity to the Chumbi Valley which is a tri-junction between India, Bhutan, and China.
• Culture and Demographics
• Sikkim is known for its diverse culture and population, consisting of various ethnic groups such as Lepchas, Bhutias, and Nepalis.
• The predominant religions practiced in Sikkim are Hinduism and Vajrayana Buddhism.
• Tourism in Sikkim
• Sikkim is a popular tourist destination known for its scenic beauty, including the Kanchenjunga mountain, the third highest peak in the world.
• Tourist attractions include Buddhist monasteries, trekking routes, and vibrant cultural festivals.
• Economy
• The economy of Sikkim is largely dependent on agriculture and tourism.
• Major crops include rice, maize, millet, wheat, barley, oranges, tea, and cardamom.
• Sikkim has also made significant progress in organic farming and is known as the first fully organic state in India.