RRB NTPC CBT-I Official Paper (Held On: 13 Mar 2021 Shift 1) (Previous Year Paper)

Given:

The number is 2564$4.

The number is exactly divisible by 4.

Formula Used:

A number is divisible by 4 if the last two digits form a number that is divisible by 4.

Calculation:

We need to check the last two digits formed with each option:

If $ = 2, last two digits = 24 ⇒ 24 ÷ 4 = 6 (divisible)

If $ = 6, last two digits = 64 ⇒ 64 ÷ 4 = 16 (divisible)

If $ = 5, last two digits = 54 ⇒ 54 ÷ 4 = 13.5 (not divisible)

If $ = 8, last two digits = 84 ⇒ 84 ÷ 4 = 21 (divisible)

The correct answer is option 3.

According to the given information:

The shaded part represents persons who are NOT wrestlers ONLY.

Thus, A represents persons who are NOT wrestlers ONLY.

Hence, the correct answer is "A".

Given:

tanθ  = $\frac{{12}}{5}$

Formula Used:

sin θ = $\frac{\text{opposite}}{\text{hypotenuse}}$

cos θ = $\frac{\text{adjacent}}{\text{hypotenuse}}$

Calculation:

We know $\tan θ = \frac{\text{opposite}}{\text{adjacent}}$

Here, $\text{opposite} = 12\ and\ \text{adjacent} = 5 .$

Using Pythagoras theorem:

Hypotenuse = √(12² + 5²)

Hypotenuse} = √(144 + 25)

Hypotenuse} = √169

Hypotenuse} = 13

Now, sin θ = 12/13

$\frac{1 + \sin θ}{1 - \sin θ} = \frac{1 + \frac{12}{13}}{1 - \frac{12}{13}}$

⇒ $\frac{1 + \frac{12}{13}}{1 - \frac{12}{13}} = \frac{\frac{13 + 12}{13}}{\frac{13 - 12}{13}}$

⇒ $\frac{\frac{25}{13}}{\frac{1}{13}} = \frac{25}{13} \times \frac{13}{1}$

⇒ 25

The correct answer is option 2.

Given:

Selling price of 25 items = Cost price of 20 items

Formula Used:

Percentage Loss = $\frac{(Cost Price - Selling Price)}{Cost Price} \times 100$

Calculation:

Let Cost Price (CP) of 1 item = ₹1

So, Cost Price of 20 items = ₹20

Given, Selling Price (SP) of 25 items = Cost Price of 20 items

SP of 25 items = ₹20

SP of 1 item = ₹20 / 25

SP of 1 item = ₹0.8

Loss per item = CP - SP

Loss per item = ₹1 - ₹0.8

Loss per item = ₹0.2

Percentage Loss = $\frac{(0.2)}{1} \times 100$

Percentage Loss = 20%

The correct answer is option 3.

The correct answer is 2016.

Key Points

• Startup India is a flagship initiative of the Government of India, intended to build a strong ecosystem that is conducive for the growth of startup businesses.
• The campaign was first announced by Indian Prime Minister Narendra Modi during his speech on 15 August 2015.
• The Startup India initiative was officially launched on 16 January 2016.
• The objective of the campaign is to create a strong ecosystem for nurturing innovation and startups in the country that will drive sustainable economic growth and generate large scale employment opportunities.

Additional Information

• Startup India Action Plan:
• The action plan for Startup India was unveiled by the Prime Minister on January 16, 2016, and it includes measures for the creation of incubation centers, easier patent filing, tax exemptions, and ease of setting up businesses.
• It aims to simplify the startup process, offers financial support, and provides a favorable environment for startups to flourish.
• Fund of Funds for Startups (FFS):
• To provide funding support to startups, the Government of India has set up a Fund of Funds with a corpus of INR 10,000 crore, managed by the Small Industries Development Bank of India (SIDBI).
• The FFS aims to support various alternative investment funds (AIFs) which in turn invest in startups.
• Startup India Hub:
• The Startup India Hub has been established to resolve queries and provide hand-holding support to startups throughout their lifecycle.
• The Hub acts as a single point of contact for the startup ecosystem, enabling knowledge exchange and access to funding.
• Tax Exemptions:
• Startups are eligible for an income tax exemption for three consecutive years out of their first ten years since incorporation.
• Exemptions are also provided from capital gains tax and investments above the fair market value.

Given:

Time taken by A to complete the work = 6 days

Time taken by B to complete the work = 4 days

Time taken by C to complete the work = 10 days

Formula Used:

Combined work rate = (1/A's rate) + (1/B's rate) + (1/C's rate)

Time taken to complete the work together = 1 / Combined work rate

Calculation:

Work rate of A = 1/6

Work rate of B = 1/4

Work rate of C = 1/10

Combined work rate = (1/6) + (1/4) + (1/10)

⇒ Combined work rate = $\frac{1}{6} + \frac{1}{4} + \frac{1}{10}$

⇒ Combined work rate = $\frac{10 + 15 + 6}{60}$

⇒ Combined work rate = $\frac{31}{60}$

Time taken to complete the work together = 1 / Combined work rate

⇒ Time taken = $\frac{60}{31}$

⇒ Time taken = $1\frac{29}{31}$ days

The correct answer is option 1: $1\frac{{29}}{{31}}$

The correct answer is Virus

Key Points

• The causative agent responsible for spreading swine flu is a virus:
• Swine influenza virus (SIV): A type A influenza virus that causes swine flu, a highly contagious respiratory disease in pigs
• H1N1 virus: A relatively new strain of influenza virus that causes swine flu in humans
• Swine flu spreads from person to person through coughing or sneezing.
• Symptoms are similar to the regular flu, including fever, cough, sore throat, body aches, headache, chills, and fatigue.
• In the past, swine flu has caused severe illness and deaths in people.

Additional Information

• Parasites
• Parasites are organisms that live on or inside a host organism, deriving nutrients at the host's expense.
• They can be unicellular (like protozoa) or multicellular (like worms).
• Types: Common types of parasites include protozoa (e.g., Plasmodium causing malaria), helminths (e.g., tapeworms), and ectoparasites (e.g., lice, ticks).
• Parasites can cause a variety of diseases in humans and animals, leading to symptoms that range from mild discomfort to severe illness.
• They can also weaken the host's immune system and affect overall health.
• Fungi
• Fungi are a diverse group of eukaryotic organisms that include yeasts, moulds, and mushrooms.
• They are distinct from plants and animals and play essential roles in ecosystems.
• Fungi are decomposers, breaking down organic matter and recycling nutrients in ecosystems.
• They form symbiotic relationships with plants (mycorrhizae) that enhance nutrient uptake.
• Bacteria
• Bacteria are unicellular microorganisms that can be found in various environments, including soil, water, and the human body.
• They are prokaryotic, meaning they lack a nucleus.
• Bacteria can be classified as beneficial (e.g., gut microbiota aiding digestion, nitrogen-fixing bacteria in soil) or harmful (e.g., pathogens causing diseases like tuberculosis and strep throat).

The correct answer is Sudarshan Sahoo

Key Points

• Sudarshan Sahoo, an eminent Indian sculptor known for his exceptional work in stone and wood, was conferred the Padma Vibhushan in 2021.
• The Padma Vibhushan is the second-highest civilian award in India, recognizing exceptional and distinguished service in any field.

Additional Information

• Keshubhai Patel: A prominent Indian politician and former Chief Minister of Gujarat, Keshubhai Patel passed away in 2020, so he was not awarded in 2021.
• Sumitra Mahajan: A senior politician and former Speaker of the Lok Sabha, she has been influential in Indian politics, but she was not awarded the Padma Vibhushan in 2021.
• Jagdish Chaudhary: There are no records of him being awarded the Padma Vibhushan in 2021.

The correct answer is New Delhi

Key Points

• The Archaeological Survey of India (ASI) is the premier organization responsible for archaeological research and the conservation of cultural heritage in India.
• Its headquarters is located in New Delhi.
• The ASI was established in 1861 and is tasked with the protection and preservation of ancient monuments, sites,
• and archaeological findings across the country, making it a key institution in preserving India's rich historical heritage.
• Sir Alexander Cunningham, a British army engineer and archaeologist, is considered the founder of the ASI.
• He was the first Director General of the organization and played a crucial role in its establishment and early operations.
• The ASI conducts extensive archaeological surveys and excavations to discover and study ancient sites, monuments, and artifacts.

According to the given information:

Conclusions:

(A) Exercises are not essential for youngsters. - False (The statement does not mention youngsters or suggest that exercises are unnecessary for them. It only talks about aged persons avoiding vigorous exercises. Therefore, there’s no logical basis to conclude that exercises are not essential for youngsters.)

(B) Vigorous exercises can cause damage to tendons. - False (The statement does not provide any reasoning or explanation about why vigorous exercises should be avoided by aged persons. It could be due to a variety of reasons unrelated to tendons (e.g., heart health or general strain). Since tendon damage is not mentioned or implied, this conclusion does not logically follow.)

Hence, the correct answer is "Neither conclusions A nor B follows".

Given:

$\sqrt {217 + \sqrt {50 + \sqrt {196} } }$

Formula Used:

$\sqrt{x} = y$ where y × y = x

Calculation:

$\sqrt{196} = 14$

So, the expression becomes:

$\sqrt{217 + \sqrt{50 + 14}}$

$\sqrt{50 + 14} = \sqrt{64} = 8$

Now, the expression is:

$\sqrt{217 + 8} = \sqrt{225}$

$\sqrt{225} = 15$

The value is 15.

The correct answer is A - (4), B - (3), C - (1), D - (2)

Key Points

• The correct matching of the companies with their headquarters:
• A. Bharat Heavy Electricals Limited (BHEL) - 4. New Delhi
• ​​Bharat Heavy Electricals Limited (BHEL)
• Headquarters: New Delhi
• BHEL is one of India’s largest engineering and manufacturing companies, specializing in the design, engineering, construction, and maintenance of a wide range of power plants and energy systems.
• It plays a crucial role in India’s power sector, producing equipment for thermal, hydro, and nuclear power generation.
• BHEL was founded in 1964 and has since contributed significantly to India's industrial growth and self-reliance in power generation equipment.
• B. Coal India Limited - 3. Kolkata
• Headquarters: Kolkata
• Coal India Limited (CIL) is the largest coal-producing company in the world and plays a pivotal role in the Indian economy, supplying coal to various sectors, including power generation, steel production, and cement manufacturing.
• It operates several subsidiaries and manages coal mining operations across India.
• CIL was incorporated in 1975 and is a state-owned enterprise under the Ministry of Coal, Government of India.
• C. Bharat Petroleum Corporation Limited (BPCL) - 1. Mumbai​
• Headquarters: Mumbai
• BPCL is a major oil and gas company in India, involved in the refining, distribution, and marketing of petroleum products.
• It operates refineries, and retail outlets, and has a significant presence in the LPG market.
• BPCL is known for its commitment to quality and service in the energy sector.
• Originally founded as Burmah Oil Company in 1886, BPCL was nationalized in 1976 and has since been a key player in the Indian oil and gas sector.
• D. Bharat Electronics Limited (BEL) - 2. Bengaluru​
• Headquarters: Bengaluru
• BEL is a state-owned aerospace and defence company that specializes in the design, development, and manufacture of advanced electronic products and systems for the defence and civilian sectors. Its product portfolio includes radars, communication systems, and electronic warfare systems.
• It was Founded in 1954, BEL has played a significant role in enhancing India’s defence capabilities and technological advancements.

The correct answer is Banyan

Key Points

• The Banyan tree (Ficus benghalensis) is the National Tree of India.
• It is known for its expansive canopy and aerial roots, symbolizing longevity, strength, and resilience.
• In Indian culture, the Banyan tree holds a significant place in mythology and rural life,
• often serving as a gathering place in villages and a symbol of shelter and protection.

Additional Information

• Peepal Tree (Ficus religiosa)
• The Peepal tree is highly revered in India, especially in Hinduism and Buddhism.
• It is considered sacred, often associated with Lord Vishnu in Hinduism and as the tree under which Gautama Buddha attained enlightenment.
• It is Known for its heart-shaped leaves and long lifespan, the Peepal tree represents wisdom, spirituality, and enlightenment.
• The Peepal tree releases oxygen even at night, making it highly beneficial to the environment.
• Sal Tree (Shorea robusta)
• The Sal tree is significant in Indian and Southeast Asian traditions.
• In Buddhism, it is believed that Queen Maya, the mother of Buddha, gave birth to him while holding the branch of a Sal tree.
• The Sal tree produces durable hardwood, which is widely used in construction and furniture-making in India.
• Sal forests are essential for local ecosystems, providing shelter and food for many wildlife species.
• Mango Tree (Mangifera indica)
• The Mango tree holds an iconic place in Indian culture and is often called the “king of fruits.”
• Mango leaves and fruits are widely used in religious ceremonies, and festivals, and as symbols of prosperity and abundance.
• Mango is one of India’s most important fruit crops, with varieties like Alphonso and Banganapalli being highly popular.
• The mango tree is a symbol of love and fertility, and its fruits are widely cherished for their delicious taste.

Given:

35% of A's income = 40% of B's income

Formula Used:

To find the ratio of A's income to B's income, use the equation:

0.35A = 0.40B

Calculation:

Given: 0.35A = 0.40B

Divide both sides by 0.35

⇒ A = (0.40 / 0.35)B

⇒ A = (4 / 3.5)B

⇒ A = (8 / 7)B

Thus, the ratio of A's income to B's income is 8 : 7.

The correct answer is option 3.

Given:

Total people in the group = 4 men + 3 women + 2 boys = 9 people

We are selecting 3 persons randomly and want the probability that exactly 2 men are selected.

Formula used:

Probability = $\dfrac{\text{Favorable outcomes}}{\text{Total possible outcomes}}$

Total number of ways to select 3 persons from 9 = $\binom{9}{3}$

The number of ways to select 2 men from 4 men = $\binom{4}{2}$

The number of ways to select 1 person from the remaining 5 (3 women + 2 boys) = $\binom{5}{1}$

Calculations:

⇒ Total possible outcomes = $\binom{9}{3} = \dfrac{9 \times 8 \times 7}{3 \times 2 \times 1} = 84$

⇒ Favorable outcomes (2 men and 1 other person) = $\binom{4}{2} \times \binom{5}{1} = \dfrac{4 \times 3}{2 \times 1} \times 5 = 6 \times 5 = 30$

⇒ Probability = $\dfrac{30}{84} = \dfrac{5}{14}$

∴ The probability that 2 men are selected is 5/14.

Given: Nisha daily goes to play badminton in a playground.

1. The playground is in the south direction from her house.

2. From the playground, she goes to her friend Suman's house that is in the west direction from the playground.

3. From Suman's house, both Nisha and Suman go to a market.

4. The market is in the west direction from Suman's house.

Final arrangement:

So, the direction of Nisha's home from the playground is North.

Hence, the correct answer is "North".

The correct answer is 1955

Key Points

• Jawaharlal Nehru laid the foundation stone of the National Museum in New Delhi on May 12, 1955.
• The National Museum was officially inaugurated later, on December 18, 1960,
• It is one of the largest museums in India, housing a vast collection of artefacts from India's rich history, including archaeology, decorative arts, anthropology, and more.
• The concept for a national museum was first proposed in 1946, with an exhibition of Indian artefacts in London that showcased Indian art and heritage to the world.
• The success of that exhibition inspired the creation of a permanent museum in India to preserve and display its artefacts domestically.
• Its collection includes items from the Indus Valley Civilization, Mauryan sculptures, Buddhist artefacts, Mughal miniatures, and much more.

The correct answer is Jawaharlal Nehru

Key Points

• Jawaharlal Nehru served as the Prime Minister of India for the longest duration.
• He held office from August 15, 1947, to May 27, 1964, a total of nearly 17 years until his death in 1964.
• As India’s first Prime Minister, Nehru was instrumental in shaping the newly independent nation’s policies and establishing democratic governance, industrial growth, education, and foreign policy frameworks.

Additional Information

• Comparison with Other Prime Ministers
• Manmohan Singh (2004–2014): Served two consecutive terms for approximately 10 years.
• Atal Bihari Vajpayee: Served for a combined total of around 6 years (first briefly in 1996 and then from 1998 to 2004).
• Narendra Modi (2014–present): As of now, he has served for over 10 years and is in his second term.
• If he continues in office, he may eventually approach or surpass Nehru’s tenure, depending on future election results.

The correct answer is Linux

Key Points

• Ubuntu, Mint, and Fedora are all versions of Linux, an open-source operating system.
• A Linux distribution based on Debian that's suitable for desktops, servers, cloud computing, and IoT devices.
• Ubuntu offers different desktop environments, including GNOME, KDE, and Xfce
• Linux Mint
• A free and open-source operating system that's based on Debian and Ubuntu.
• Linux Mint uses the Cinnamon desktop environment, which offers a traditional desktop experience.
• It's easy to use, requires little maintenance, and is community-centric
• Fedora
• Uses the DNF package manager, which is a successor of YUM.
• Linux is a robust, stable, and reliable operating system with many features, including
• An open-source philosophy that encourages collaboration and innovation, High customizability, Rapid response to vulnerabilities, Excellent security features, and Efficiency and resource utilization.

Additional Information

• Windows 10
• User Interface: Modern GUI with a Start menu, taskbar, and support for touchscreen devices.
• Target Audience: General consumers and professionals, suitable for a wide range of devices.
• Key Features: Built-in virtual desktops, regular updates, and deep integration with Microsoft services like OneDrive and Office.
• MS-DOS
• Interface: Command-Line Interface (CLI) with text-based commands, no graphical elements.
• Single-Tasking: Only one program runs at a time, suitable for simpler tasks.
• Key Use: File management and basic program operations in early personal computers.
• Apple macOS X
• User Interface: Intuitive GUI with a Dock and Finder for managing files and applications.
• Target Audience: General users, creative professionals, and developers, with smooth Apple ecosystem integration.
• Key Features: Unix-based, known for stability, security, and multimedia capabilities.

Given:

Initial population = 1,85,500

Final population = 2,22,600

Number of years = 10

Formula Used:

Average percentage increase per year = $\left(\frac{\text{Final Population} - \text{Initial Population}}{\text{Initial Population} \times \text{Number of Years}}\right) \times 100$

Calculation:

Population increase = 2,22,600 - 1,85,500

Population increase = 37,100

Average percentage increase per year = $\left(\frac{37,100}{1,85,500 \times 10}\right) \times 100$

⇒ Average percentage increase per year = $\left(\frac{37,100}{18,55,000}\right) \times 100$

⇒ Average percentage increase per year = 0.02 × 100

⇒ Average percentage increase per year = 2%

The average percentage increase of population per year is 2%.

According to the given information:

1. Age of no two boys is same. 

2. Only four boys are younger that Q.

_ > Q > _ > _ > _ > _

3. S is elder to P and R.

S > P / R

4. T is elder to W and S.

T > W / S

So, there can be multiple cases here:

Case 1: T > Q > S > W > P > R

Case 2: T > Q > W > S > P > R

Case 3: T > Q > W > S > R > P

Case 4: T > Q > S > W > R > P

Case 5: T > Q > S > R > P > W

Thus, T is the eldest amongst them in all cases.

Hence, the correct answer is "T".

The correct answer is New Delhi

Key Points

• The Sangeet Natak Akademi, India's national academy for music, dance, and drama, is located at Rabindra Bhawan, 35 Feroze Shah Road, New Delhi
• The Sangeet Natak Akademi is an autonomous body of the Ministry of Culture, Government of India.
• It was established in 1953 and inaugurated by Dr. Rajendra Prasad in Parliament House.
• The academy aims to promote and preserve India's cultural heritage through music, dance, and drama.
• The Sangeet Natak Akademi houses a unique archive that includes recordings, photographs, and manuscripts significant to Indian arts.
• Additionally, it operates specialized centres, such as the Kathak Kendra in New Delhi.
• which focuses on Kathak dance, and Ravindra Rangshala in various locations for theatre.
• It also manages projects like the National Project on Intangible Cultural Heritage (ICH),
• aimed at documenting and conserving intangible cultural expressions across the country.

The correct answer is 1st April 1935

Key Points

• The Reserve Bank of India (RBI) was established on April 1, 1935:
• The RBI was established by the Reserve Bank of India Act, of 1934.
• The RBI was created to respond to economic challenges after World War I.
• The RBI was established based on the recommendations of the 1926 Royal Commission on Indian Currency and Finance, also known as the Hilton Young Commission.
• Sir Osborne Smith was the first Governor of the RBI.
• The RBI's Central Office was initially in Kolkata but was permanently moved to Mumbai in 1937.
• The RBI's original functions included regulating the issue of banknotes, maintaining reserves, and operating the country's credit and currency system.
• The RBI is India's central bank, and it regulates monetary policies, operates under the Government of India, and undertakes various initiatives for the financial sector.

The correct answer is B, C, A

Key Points

• Uttar Pradesh is the largest producer of sugarcane in India, contributing a significant portion of the country’s total production due to its favourable climatic conditions and extensive cultivation practices.
• Maharashtra ranks second in sugarcane production.
• The state has several sugar mills and a well-established sugar industry, contributing to its high production levels.
• Karnataka is also a significant producer of sugarcane, but it ranks third compared to Uttar Pradesh and Maharashtra.
• India is the second-largest producer of sugar in the world and is also the largest consumer.
• Brazil is the largest sugar-producing country in the world.
• Uttar Pradesh, the leading sugarcane and sugar-producing State in India.

Given:

Invalid votes = 86

Winning candidate's percentage = 58%

Winning margin = 256 votes

Formula Used:

Let the total number of valid votes be V.

Let the total number of votes polled be T.

Winning candidate's votes = 0.58V

Other candidate's votes = 0.42V

Winning margin = 0.58V - 0.42V

T = V + 86

Calculation:

Winning margin = 256 votes

⇒ 0.58V - 0.42V = 256

⇒ 0.16V = 256

⇒ V = 256/0.16

⇒ V = 1600

Total number of votes polled

⇒ T = V + 86

⇒ T = 1600 + 86

⇒ T = 1686

The total number of votes polled is 1686.

The correct answer is 15th February 2019

Key Points

• Prime Minister Narendra Modi flagged off India's first semi-high-speed train, the Vande Bharat Express, on February 15, 2019, at New Delhi railway station.
• The train ran on the New Delhi–Kanpur–Allahabad–Varanasi route, connecting Uttar Pradesh's Varanasi to the capital city.
• The train's top speed is 160 kilometres per hour.
• some other facts about the Vande Bharat Express:
• The train was previously known as Train 18.
• It was designed and manufactured by the Integral Coach Factory (ICF), Chennai, which is owned by the government.
• The train has two classes of accommodation: AC Executive Class and AC chair.
• The train offers onboard catering with vegetarian and non-vegetarian meal options.
• The train's coaches have wider windows with roller blinds, overhead racks for luggage, electric outlets, reading lights, CCTV cameras, automatic doors, bio-vacuum toilets, and sensor-based water taps.

Given:

If √225 = 15, then the value of √2.25 + √0.0225 + √0.000225 is:

Formula Used:

√(a × 10²ⁿ) = √a × 10ⁿ

Calculation:

√2.25 = √(225 × 10^-2)

⇒ √225 × 10^-1

⇒ 15 × 0.1

⇒ 1.5

√0.0225 = √(225 × 10^-4)

⇒ √225 × 10^-2

⇒ 15 × 0.01

⇒ 0.15

√0.000225 = √(225 × 10^-6)

⇒ √225 × 10^-3

⇒ 15 × 0.001

⇒ 0.015

Therefore, √2.25 + √0.0225 + √0.000225

⇒ 1.5 + 0.15 + 0.015

⇒ 1.665

The correct answer is option 3.

The correct answer is 1913

Key Points 

• Rabindranath Tagore was a Bengali poet, writer, and painter.
• He was honoured with the Nobel Prize in Literature in 1913.
• He is the first non-European to receive the Nobel Prize for Literature.
• Rabindranath Tagore got the Nobel Prize for his work Gitanjali.
• India's national anthem" Jana Gana Mana" was written by Rabindranath Tagore.
• He also created Bangladesh's national anthem, "Amar Shonar Bangla".
• Shanti Niketan is the school established by Rabindranath Tagore.
• Rabindranath Tagore first sang Vande Mataram in 1896 at the Calcutta Congress Session.
• Notable works:
• Gitanjali.
• Ghare-Baire.
• Gora,
• Gitimalya.
• Balaka.
• Sonar Tari.

Given:

Number 1 = 39

Number 2 = 84

Remainder in each case = 3

Formula Used:

Greatest number that divides both a and b leaving the same remainder r is gcd(a-r, b-r)

Calculation:

Adjusted numbers after subtracting remainder:

Number 1 - Remainder = 39 - 3 = 36

Number 2 - Remainder = 84 - 3 = 81

Find gcd(36, 81):

Prime factorization of 36: 2² ×  3²

Prime factorization of 81: 3⁴

Common factors: 3²

⇒ gcd(36, 81) = 9

The greatest number, which will divide 39 and 84 to leave remainder 3 in each case, is: 9.

Given:

Total black balls = 10

Total white balls = 5

Total balls = 15

Formula Used:

Probability of drawing two black balls without replacement = (Probability of drawing the first black ball) × (Probability of drawing the second black ball after the first one is drawn)

Calculation:

Probability of drawing the first black ball = 10/15

Probability of drawing the second black ball after the first one is drawn = 9/14

⇒ Probability of drawing two black balls = (10/15) × (9/14)

⇒ Probability of drawing two black balls = (10 × 9) / (15 × 14)

⇒ Probability of drawing two black balls = 90 / 210

⇒ Probability of drawing two black balls = 3/7

The probability that both drawn balls are black is 3/7.

The logic followed here is: Letter + 1 = Number

Chair : 4921019

Similarly, Mobile : ? 

Hence, the correct answer is "1416310136".

Given:

a/b = 0.75

Calculation:

a/b = 0.75

⇒ a = 0.75b

Substitute a = 0.75b into the expression $\frac{{2a + b}}{{2a - b}} + \frac{4}{9}$

⇒ $\frac{2(0.75b) + b}{2(0.75b) - b}$

⇒ $\frac{1.5b + b}{1.5b - b}$

⇒ $\frac{2.5b}{0.5b}$

⇒ 5

Now, add $\frac{4}{9}$ to 5

⇒ 5 + $\frac{4}{9}$

⇒ $\frac{45}{9} + \frac{4}{9}$

⇒ $\frac{49}{9}$

The correct answer is option 4: $\frac{49}{9}$.

The logic followed here is:

RAM is written as SBN

Similarly, SHYAM will be written:

Hence, the correct answer is "TIZBN".

According to the given information:

Thus, female writers are Bengali = 15.

Hence, the correct answer is "15".

The correct answer is Germanium

Key Points

• Germanium is a metalloid, which is a chemical element with properties that are a mix of those of metals and nonmetals:
• Metalloids are brittle, lustrous, and have a metallic appearance.
• They are intermediate conductors of electricity and are generally semiconductors.
• Chemically, they behave mostly as nonmetals.
• Examples
• Other examples of metalloids include boron, silicon, arsenic, antimony, and tellurium.
• Metalloids are located on the periodic table bordering the staircase, between the metals on the left and the non-metals on the right.

Additional Information

• Iodine is vital for health and medicine.
• Iodine is a dark, bluish-black solid at room temperature and sublimates to form a violet vapour.
• It is essential for human health, particularly in the production of thyroid hormones.
• Copper is crucial for electrical and plumbing applications.
• Copper is a reddish-brown metal known for its high electrical and thermal conductivity.
• It is malleable and ductile, making it easy to shape and work with.
• Carbon is fundamental to life and widely used in multiple industries.
• Carbon is a versatile element that can form various allotropes, including graphite, diamond, and amorphous carbon

The logic followed here is:

8, 12, 20, 32, 48, ?

Hence, the correct answer is "68".

The correct answer is "1911 - 1921".

Key Points

• According to the most recent census, India's population has grown, yet between 1911 and 1921, it actually  decreased.
• Before 1921, both male and female children had poor life expectancy rates at birth.
• Famines and epidemics were the leading causes of population reduction.
• Famine, pestilence, and influenza deaths slowed the country's population growth.
• There was an increase in population from 1901 to 1911.
• Due to the absence of famines and epidemics during this time, resulting in a significant drop in the country's death rate, the population expanded by roughly 158 lakh.
• However, between 1911 and 1921, the nation's growth rate slowed.
• The 1918 influenza outbreak contributed to a rise in mortality and the death of 140 lakh people nationwide.
• Famine, the plague, and malaria were further factors in the population reduction.
• The year 1951 is frequently referred to as the year of the population explosion since there was a significant increase in population after 1951.

Additional Information

Growth of Population 

​Phase I 

• The period from 1901-1921 is referred to as a period of the stagnant or stationary phase of growth of India’s population, since in this period growth rate was very low, even recording a negative growth rate during 1911-1921.
• Both the birth rate and death rate were high keeping the rate of increase low.
• Poor health and medical services, illiteracy of people at large, and inefficient distribution system of food and other basic necessities were largely responsible for high birth and death rates in this period.

Phase II 

• The decades 1921-1951 are referred to as the period of steady population growth.
• An overall improvement in health and sanitation throughout the country brought down the mortality rate.
• At the same time, better transport and communication systems improved distribution systems.
• The crude birth rate remained high in this period leading to a higher growth rate than the previous phase.
• This is impressive in the backdrop of the Great Economic Depression, the 1920s, and World War II.

Phase III 

• The decades 1951-1981 are referred to as the period of population explosion in India, which was caused by a rapid fall in the mortality rate but a high fertility rate of population in the country.
• The average annual growth rate was as high as 2.2 percent.
• It is in this period, after the Independence, that developmental activity was introduced through a centralized planning process and the economy started showing up ensuring the improvement of the living conditions of people at large.
• Consequently, there was a high natural increase and a higher growth rate.
• Besides, increased international migration bringing in Tibetans, Bangladeshis, Nepalese and even people from Pakistan contributed to the high growth rate.

Phase IV 

• In the post-1981 till present, the growth rate of country’s population though remained high, has started slowing down gradually.
• A downward trend of crude birth rate is held responsible for such population growth.
• This was, in turn, affected by an increase in the mean age at marriage, improved quality of life particularly education of females in the country.
• The growth rate of population is, however, still high in the country, and it has been projected by World Development Report that the population of India will touch 1,350 million by 2025.

The correct answer is Option 3.

Key Points

• To arrange the names of the Indian presidents in the descending order of their tenure:
• Giani Zail Singh (1982-1987)
• Neelam Sanjiva Reddy (1977-1982)
• Fakhruddin Ali Ahmed (1974-1977)
• Dr. Zakir Hussain (1967-1969)

Additional Information

• Giani Zail Singh served as the 7th President of India from 25 July 1982 to 25 July 1987.
• Neelam Sanjiva Reddy served as the 6th President of India from 25 July 1977 to 25 July 1982.
• Fakhruddin Ali Ahmed served as the 5th President of India from 24 August 1974 until his death on 11 February 1977.
• Dr. Zakir Hussain served as the 3rd President of India from 13 May 1967 until his death on 3 May 1969.

The correct answer is Cholera

Key Points

• Cholera does not spread through the air, and is instead a waterborne disease:
• Cholera
• A waterborne disease that is primarily transmitted through contaminated food and water.
• Airborne diseases
• Diseases that are caused by pathogens and transmitted through the air, such as the common cold, pneumonia, and tuberculosis.
• Pathogens can be viruses, bacteria, or fungi, and are spread through coughing, sneezing, dust, and spraying of liquids.
• HIV-AIDS is another disease that does not spread through the air but is instead sexually transmitted.
• It can be transmitted through direct sexual contact, using infected blood or syringe, and from the infected mother to its child during pregnancy or via breastfeeding

Additional Information

• Pneumonia is an infection that inflames the air sacs in one or both lungs, which may fill with fluid or pus, causing cough with phlegm or pus, fever, chills, and difficulty breathing
• Pneumonia can be caused by various pathogens,
• including bacteria (e.g., Streptococcus pneumoniae), viruses (e.g., influenza virus), and fungi. It can also develop after inhaling irritants or as a complication of another illness.
• Tuberculosis is a contagious bacterial infection caused by Mycobacterium tuberculosis, primarily affecting the lungs but can also impact other parts of the body.
• TB is spread through airborne particles when an infected person coughs or sneezes.
• Close and prolonged contact with an infected person increases the risk of transmission.
• The common cold is a viral infection of the upper respiratory tract, primarily caused by rhinoviruses.
• Cold viruses are highly contagious and can be spread through respiratory droplets, direct contact with infected surfaces, or close contact with an infected person.

Given:

x : y = 3 : 5

Calculation:

Given x : y = 3 : 5

Let x = 3k and y = 5k

Substitute x and y into the formula:

⇒ $\frac{{5x - 3y}}{{10x + 6y}}$

⇒ $\frac{{5(3k) - 3(5k)}}{{10(3k) + 6(5k)}}$

⇒ $\frac{{15k - 15k}}{{30k + 30k}}$

⇒ $\frac{0}{{60k}}$

⇒ 0

The correct answer is option 2.

The logic followed here is:

Given series: AF, BG, CH, DI, ?

Hence, the correct answer is "EJ".

The correct answer is B S Chandrasekhar

Key Points

• B. S. Chandrasekhar:
• He was a prominent leg-spin bowler and is renowned for his exceptional bowling skills, particularly during the 1970s and 1980s.
• He did not play as a wicketkeeper.
• He is well-known for his exceptional bowling, which earned him a reputation as one of the greatest spinners in the history of cricket.
• He played a key role in many of India’s victories, particularly in Tests against strong teams.
• He took over 200 Test wickets and was known for his unique bowling action and ability to spin the ball sharply.

Additional Information

• P. G. Joshi
• Full Name: Prakash Ganesh Joshi
• Role: Wicketkeeper-Batsman
• Joshi played for India in the late 1970s and early 1980s. He was known for his skills behind the stumps and also contributed as a lower-order batsman.
• He was a part of the Indian squad during a time when wicketkeeping was crucial, especially in Test matches.
• F. M. Engineer
• Full Name: Farokh Maneksha Engineer
• Role: Wicketkeeper-Batsman
• Engineer played for India from 1961 to 1975 and is remembered as one of the best wicketkeepers of his time.
• He played a significant role in the Indian cricket team and was part of the team that reached the semi-finals of the 1975 Cricket World Cup.
• He was known for his agile wicketkeeping skills and his ability to play crucial innings.
• N. S. Tamhane
• Full Name: Narayan Shripad Tamhane
• Role: Wicketkeeper-Batsman
• Tamhane was active in the 1950s and is known for his role as a wicketkeeper in the Indian cricket team.
• He played in the early days of Indian Test cricket.
• While his playing career was shorter than some of his contemporaries, he contributed to the development of wicketkeeping in Indian cricket during his time

The logic followed here is: Letter coded by its place value.

SACHIN is written as 19138914

Similarly, GEETA will be written as:

Hence, the correct answer is "755201".

The correct answer is Kolkata

Key Points

• The fifth India International Science Festival (IISF) was held in Kolkata from November 5–8, 2019.
• The festival was organized by the Ministry of Science & Technology, Earth Sciences, and Health & Family Welfare, in association with Vijnana Bharati (VIBHA).
• The theme for the 2019 festival was "RISEN India – Research, Innovation, and Science Empowering the Nation".
• The festival featured cultural activities such as plays, musical yoga, Nukkad Natak, dance, and recital performances.
• It also included the International Science Literature Festival, Vigyanika.
• The IISF is an annual event that promotes science and technology by demonstrating how STEM (science, technology, engineering, and mathematics) can improve lives

The correct answer is 1 GB= 220 byte

Key Points

• 1 GB = 220 byte: This statement is incorrect because it suggests that 1 GB is equal to 2202^{20}220 bytes, which is actually 1 MB (Megabyte).
• Here are the sizes of some storage units in a computer system:
• Kilobyte (KB): 210 bytes
• Megabyte (MB): 220 bytes
• Gigabyte (GB): 230 bytes
• Terabyte (TB): 240 bytes
• Larger storage units include petabytes (PB), exabytes (EB), zettabytes (ZB), and yottabytes (YB)

The correct answer is Mundaka Upanishad.

• The words - “Satyameva Jayate”, inscribed on the state emblem of India, has been taken from Mundaka Upanishad.

Key Points 

• The State Emblem is an adaptation from the Sarnath Lion Capital of Ashoka.
• In the State Emblem, adopted by the Government of India on 26 January 1950 only three lions are visible, the fourth being hidden from view.
• The wheel appears in the centre of the abacus with a bull on the right and a horse on the left and the outlines of other wheels on the extreme right and left.
• The bell-shaped lotus has been omitted.
• The words Satyameva Jayate from Mundaka Upanishad, meaning ‘Truth Alone Triumphs, are inscribed below the abacus in Devanagari script.

Additional Information 

• The song Jana-Gana-mana, composed originally in Bengali by Rabindranath Tagore, was adopted in its Hindi version by the Constituent Assembly as the National Anthem of India on 24 January 1950.
• It was first sung on 27 December 1911 at the Kolkata Session of the Indian National Congress.

The correct answer is Airport Authority of India

Key Points

• The Indian Space Research Organization (ISRO) collaborated with the Airport Authority of India (AAI) to develop the GPS-Aided Geo Augmented Navigation (GAGAN) system.
• GAGAN is a space-based augmentation system (SBAS) that uses a network of satellites and ground stations to improve the accuracy of GPS signals.
• It corrects for errors caused by satellite orbit, timing, and ionospheric disturbances. GAGAN also provides information about the health of each satellite.
• GAGAN is designed to provide navigational services over India's Flight Information Region (FIR) and can be expanded to neighbouring FIRs.
• The Directorate General of Civil Aviation (DGCA) provisionally certified GAGAN in 2012.

Additional Information

• Hindustan Aeronautics Limited (HAL)
• Headquarters: Bengaluru, Karnataka
• HAL is an Indian state-owned aerospace and defence company.
• It is primarily involved in the design, development, manufacturing, and maintenance of aircraft, helicopters, engines, and avionics for both military and civilian sectors.
• HAL has been a significant player in Indian defence with projects like the Tejas light combat aircraft, Dhruv advanced light helicopter, and the manufacturing of aircraft for the Indian Air Force.
• Cochin Shipyard Limited (CSL)
• Headquarters: Kochi, Kerala
• CSL is the largest shipbuilding and maintenance facility in India, owned by the Government of India. It specializes in shipbuilding and ship repair services and undertakes the construction of ships for commercial and defence sectors.
• CSL is known for building India's first indigenous aircraft carrier, INS Vikrant, and for its capabilities in ship repair and maintenance for various Indian Navy and Coast Guard vessels.
• Pawan Hans Helicopters Limited
• Headquarters: Noida, Uttar Pradesh
• Pawan Hans is a leading helicopter service provider in India, serving various sectors, including offshore oil operations, tourism, pilgrimage, and medical evacuation. It also provides helicopter services to government and private entities.
• Pawan Hans operates a fleet of helicopters across India and is known for offering services in remote and hilly terrains where fixed-wing aircraft may not be viable.

The correct answer is Gandhinagar, Gujarat

Key Points

• The Festival of Innovation & Entrepreneurship (FINE) is organized to celebrate and promote innovation and entrepreneurship among young minds in India.
• The event serves as a platform for innovators to showcase their work and engage with potential investors and mentors.
• The inaugural event took place at the Raj Bhavan in Gandhinagar, Gujarat, highlighting the state's role in fostering innovation and entrepreneurship in the country.
• The festival included various activities, such as exhibitions, workshops, and discussions focused on promoting innovation across different sectors.

Given:

$\dfrac{a}{b} = \dfrac{3}{2}$ and $\dfrac{b}{c} = \dfrac{3}{5}$

We need to find the value of $\frac{{a + b}}{{b + c}}$

Formula used:

Substitute the values of abab and bcbc to express a, b, and c in terms of one variable.

Calculations:

From $\dfrac{a}{b} = \dfrac{3}{2}$, we get $a = \dfrac{3}{2}b$

From $\dfrac{b}{c} = \dfrac{3}{5}$, we get $c = \dfrac{5}{3}b$

Now, substitute these into $\frac{{a + b}}{{b + c}}$:

⇒ $\dfrac{\dfrac{3}{2}b + b}{b + \dfrac{5}{3}b}$

Factor out bb from both the numerator and denominator:

⇒ $\dfrac{b\left(\dfrac{3}{2} + 1\right)}{b\left(1 + \dfrac{5}{3}\right)}$

Cancel out b:

⇒ $\dfrac{\dfrac{3}{2} + 1}{1 + \dfrac{5}{3}}$

Simplify both the numerator and the denominator:

⇒ $\dfrac{\dfrac{5}{2}}{\dfrac{8}{3}}$

⇒ $\dfrac{5}{2} \times \dfrac{3}{8} = \dfrac{15}{16}$

∴ The value of $\frac{{a + b}}{{b + c}}$ is 15/16.

The correct answer is Kgms-2.

Key Points

• The unit of force in the International System of Units (SI) is the Newton (N).
• 1 Newton is defined as the force required to accelerate a mass of 1 kilogram at a rate of 1 meter per second squared (1 m/s²).
• Force is defined as an interaction that changes the state of rest or uniform motion of an object.
• Mathematically: Force (F)=mass (m)×acceleration (a), So, 1 Newton = 1 kg·m/s².

Additional Information

The correct answer is Kgm /sec2.

Key Points

• Work is calculated as Work (W)=Force (F)×Displacement (d).
• The SI unit of work is the Joule (J). Since force is measured in Newtons (N) and displacement in meters (m), we have 1J=1N⋅m.
• Also, from Newton’s second law, a Newton (N) can be expressed as 1N=1kg⋅m/s².
• kg·m²/s² is dimensionally equivalent to a Joule. This is a unit of work.

Additional Information

According to the given information:

Thus, Sun are Ears = 8 + 1 = 9

Hence, the correct answer is "9".

The correct answer id Madrid, Spain.

Key Points

• The World Tourism Organization (UNWTO) was established in 1975.
• It evolved from the International Union of Official Travel Organizations (IUOTO), which was formed in 1925.
• In 2003, the UNWTO became a specialized agency of the United Nations.
• The UNWTO established World Tourism Day, celebrated annually on September 27 since 1980,

Additional Information 

Given:

Expression: 3 + [ 3 × {3 - (3 + 3) ÷ 6}]

Formula Used:

Order of operations (PEMDAS/BODMAS): Parentheses/Brackets, Exponents/Orders (i.e. powers and roots, etc.), Multiplication and Division (left-to-right), Addition and Subtraction (left-to-right)

Calculation:

Simplify the innermost parentheses first:

(3 + 3) = 6

Next, simplify the division:

6 ÷ 6 = 1

Substitute back into the expression:

3 + [ 3 × {3 - 1}]

Continue simplifying inside the brackets:

3 - 1 = 2

Now multiply:

3 × 2 = 6

Finally, add:

3 + 6

⇒ 9

The correct answer is option 4: 9.

Given:

$\frac{{56}}{5} + 5\frac{1}{{10}} \div 3\frac{2}{5}$

Formula used:

To solve the expression, we first need to perform division and addition using the basic rules for fractions and mixed numbers.

Calculations:

Step 1: Convert mixed numbers to improper fractions.

$5\dfrac{1}{10} = \dfrac{51}{10}$

$3\dfrac{2}{5} = \dfrac{17}{5}$

Step 2: Perform the division.

⇒ $\dfrac{51}{10} \div \dfrac{17}{5} = \dfrac{51}{10} \times \dfrac{5}{17} = \dfrac{255}{170} = \dfrac{51}{34}$

Step 3: Now add the two fractions.$\dfrac{56}{5} + \dfrac{51}{34}$

Step 4: Find a common denominator and perform the addition.

LCM of 5 and 34 is 170.

⇒ $\dfrac{56}{5} = \dfrac{56 \times 34}{5 \times 34} = \dfrac{1904}{170}$

⇒ $\dfrac{51}{34} = \dfrac{51 \times 5}{34 \times 5} = \dfrac{255}{170}$

Step 5: Add the fractions.

⇒ 255/170 + 1904/170

⇒ $\dfrac{1904 + 255}{170} = \dfrac{2159}{170}$

⇒ 127/10

∴ The value of the expression is approximately 12$\frac{7}{10}$.

Given:

$\frac{2}{3}, \frac{4}{9}, \frac{7}{12}, \frac{3}{5}$

Formula Used:

LCM of fractions = $\frac{\text{LCM of Numerators}}{\text{HCF of Denominators}}$

Calculation:

Numerators: 2, 4, 7, 3

Denominators: 3, 9, 12, 5

LCM of Numerators = LCM(2, 4, 7, 3)

Prime Factorization:

2 = 2

4 = 2²

7 = 7

3 = 3

LCM = 2² × 3 × 7 = 4 × 3 × 7

LCM = 84

HCF of Denominators = HCF(3, 9, 12, 5)

Prime Factorization:

3 = 3

9 = 3²

12 = 2² × 3

5 = 5

HCF = 1 (since 1 is the only common factor in all denominators)

LCM of fractions = $\frac{\text{LCM of Numerators}}{\text{HCF of Denominators}}$841841

841

⇒ LCM = 84/1 = 84

The correct answer is option 1.

Given:

$\frac{{2160}}{{√ x }}$ = 240

Formula Used:

$√{x} = \frac{2160}{240}$

Calculation:

Rearrange the given equation to solve for √x:

⇒ $√x = \frac{2160}{240}$

⇒ √x = 9

Now, square both sides to solve for x :

⇒ x = 9²

⇒ x = 81

The value of x is 81.

The correct answer is E, A, B, C, D.

Key Points

• Champaran Movement: In 1917, the Governor-General was Lord Chelmsford.
• Jallianwala Bagh Massacre: 1919, Governor-General was Lord Chelmsford.
• Khilafat Movement: 1919, Governor-General was Lord Chelmsford, Non-Cooperation Movement: 1920, Governor-General was Lord Reading.
• Gandhi-Irwin Pact: In 1931, the Governor-General was Lord Irwin.
• Quit India Movement: In 1942, the Governor-General was Lord Linlithgow.

Additional Information

The logic followed here is: 1st letter + 2 = 2nd letter; 2nd letter + 2 = 3rd letter.

Option 1) ACE 

Option 2) PRT 

Option 3) KMO 

Option 4) GHI 

Hence, the correct answer is "GHI".

The correct answer is Eiha Dixit.

Key Points

• Eiha Dixit won the Bal Shakti Puraskar 2019 in the field of social service for her contributions to the environment.
• At the time of receiving the award, she was the youngest among all the recipients of the Bal Shakti Puraskar.
• Eiha Dixit is known for her efforts in promoting environmental sustainability and spreading awareness about the importance of protecting nature.
• he award she received is a prestigious honor given by the President of India to recognize children who excel in various fields.

Additional Information

• Angel Vijay Deokule is known for her achievements in the field of archery.
• She was recognized by the Bal Shakti Puraskar for her exceptional archery skills.
• Adrika Goyal is known for her innovations in the field of science and technology.
• She was honored with the Bal Shakti Puraskar for her contributions to innovation and technology.
• Truptraj Atul Pandya is a tabla prodigy who began playing the tabla at an incredibly young age.
• He holds the record for being the youngest tabla player to perform on All India Radio at the age of 3.

Given:

The HCF of two numbers = 37

Their LCM = 740

One of the numbers = 148

Formula Used:

Product of two numbers = HCF × LCM

Calculation:

Let the other number be x.

Product of the two numbers = 148 × x

HCF × LCM = 148 × x

⇒ 37 × 740 = 148 × x

⇒ 27380 = 148 × x

⇒ x = 27380 / 148

⇒ x = 185

The other number is 185.

The correct answer is Article 74(1).

Key Points

• Article 74(1) of the Constitution of India deals with the formation and role of the Council of Ministers in the Indian government.
• The Article mandates the formation of a Council of Ministers, headed by the Prime Minister, to assist the President.
• The advice given by the Council of Ministers is binding on the President after the 42nd Amendment to the Constitution in 1976.
• The Prime Minister and the Council of Ministers effectively hold executive power, while the President's role is largely ceremonial in nature.

Additional Information

• Article 72(1) gives the President of India the power to grant pardons, reprieves, respites, or remissions of punishment, or to suspend, remit or commute the sentence of any person convicted of an offence.
• In cases where the punishment or sentence is for an offence against any law related to a matter to which the executive power of the Union extends.
• In cases of punishment by a court-martial.
• In cases where the sentence is a death sentence.
• Article 73(1) defines the extent of the executive power of the Union (Central Government)
• The executive power of the Union extends to matters on which Parliament has the power to legislate, i.e., matters in the Union List and Concurrent List (with conditions).
• The executive power of the Union also extends to giving directions to states where necessary for ensuring compliance with laws made by Parliament.
• Article 79(1) There shall be a Parliament for the Union which shall consist of the President and two Houses to be known respectively as the Council of States (Rajya Sabha) and the House of the People (Lok Sabha).

The correct answer is Gulf of Kutch.

Key Points

• India's first marine national park is situated in the Gulf of Kutch, in the state of Gujarat.
• Marine National Park, Gulf of Kutch: It was established in 1982 and covers an area of 162.89 square kilometers.
• The area surrounding the Marine National Park has mangrove forests that provide breeding grounds for fish and other marine life. These forests play a vital role in stabilizing the coastal ecosystem.
• The Gulf of Kutch Marine Park is known for its coral reefs, including both fringing reefs and offshore platforms.

Additional Information

• The Gulf of Mannar is Situated between the southeastern coast of India (Tamil Nadu) and the western coast of Sri Lanka.
• It is part of the Gulf of Mannar Biosphere Reserve, which is the first marine biosphere reserve in India, established in 1989.
• Rameswaram Island is Located within the Gulf of Mannar, it is a popular pilgrimage site in India.
• Jamnagar is Situated in the state of Gujarat, on the western coast of India.
• Known for the world's largest oil refinery, operated by Reliance Industries.
• Chennai is the capital of the state of Tamil Nadu, located on the southeastern coast of India along the Bay of Bengal.
• Known as the "Detroit of India" due to its robust automobile industry.

The logic followed here is:

Bank and Loan is that a bank provides a loan.

Similarly,

Judgement as a court provides or issues a judgement.

Hence, the correct answer is "Judgement".

The correct answer is Iran.

Key Points

• The name TAPI stands for the four countries involved: Turkmenistan, Afghanistan, Pakistan, and India.
• The TAPI pipeline aims to transport natural gas from Turkmenistan to India, passing through Afghanistan and Pakistan.
• The idea for the TAPI pipeline was first proposed in 1990. The project was officially launched in 2002.
• The pipeline will transport natural gas from the Galkynysh gas field in Turkmenistan, one of the largest gas fields in the world.

Additional Information

• Turkmenistan
• Location: Central Asia, bordered by the Caspian Sea to the west, Kazakhstan to the northwest, Uzbekistan to the northeast, Afghanistan to the southeast, and Iran to the south.
• Capital: Ashgabat.
• Official Language: Turkmen.
• Government: Turkmenistan is a presidential republic. The President holds significant power and authority.
• Iran
• Location: Western Asia, bordered by the Caspian Sea to the north, Turkmenistan and Afghanistan to the northeast, Pakistan to the southeast, and several countries to the west (including Iraq and Turkey).
• Capital: Tehran.
• Official Language: Persian (Farsi).
• Government: An Islamic Republic with a Supreme Leader holding significant power alongside an elected President.
• Afghanistan
• Location: South Asia and Central Asia, bordered by Turkmenistan, Uzbekistan, and Tajikistan to the north, Iran to the west, and Pakistan to the east and south.
• Capital: Kabul.
• Official Languages: Dari and Pashto.
• Government: Afghanistan has experienced various forms of governance, currently operating under the Taliban regime since 2021.

The correct answer is 1,3.

Key Points

• Tritium is one of the isotopes of hydrogen.
• The atomic number of hydrogen, including its isotopes, is 1 (since all hydrogen isotopes have one proton).
• Tritium has 2 neutrons in addition to the 1 proton, giving it a mass number of 3 (1 proton + 2 neutrons = 3).
• Tritium is radioactive, with a half-life of about 12.32 years, decaying into helium-3 (³He) through beta decay.

Additional Information

• Protium (¹H) Atomic Number: 1 Mass Number: 1
• It is the most common isotope of hydrogen, making up about 99.98% of naturally occurring hydrogen.
• Deuterium (²H or D)Atomic Number: 1 Mass Number: 2.
• Deuterium has 1 proton and 1 neutron in its nucleus. It makes up about 0.02% of naturally occurring hydrogen.
• Tritium (³H or T) Atomic Number: 1 Mass Number: 3
• Tritium has 1 proton and 2 neutrons in its nucleus.
• Tritium is much rarer than the other two isotopes and occurs naturally in trace amounts (about 1 part in 1 trillion of hydrogen).

Given:

The ratio of length to breadth of the rectangular field = 6 : 5

Perimeter of the field = 110 m

Formula Used:

Perimeter of a rectangle = 2 × (Length + Breadth)

Calculation:

Let the length be 6x and the breadth be 5x.

Perimeter = 2 × (Length + Breadth)

⇒ 110 = 2 × (6x + 5x)

⇒ 110 = 2 × 11x

⇒ 110 = 22x

⇒ x = 110 / 22

⇒ x = 5

Breadth = 5x = 5 × 5 = 25 m

The breadth of the rectangular field is 25 m.

Given:

Kamal can complete a work in 14 days.

Vimal is 40% more efficient than Kamal.

Formula Used:

Efficiency ∝ 1/Time

If Efficiency_Vimal = 1.4 × Efficiency_Kamal, then Time_Vimal = Time_Kamal / 1.4

Calculation:

Time taken by Kamal = 14 days

Vimal's efficiency = 1.4 × Kamal's efficiency

Time taken by Vimal = 14 / 1.4

⇒ Time taken by Vimal = 14 / 1.4

⇒ Time taken by Vimal = 10 days

The number of days Vimal will take to complete the same piece of work is 10 days.

The correct answer is Vishakhapatnam.

Key Points

• Visakhapatnam is located on the southeast coast of India in the state of Andhra Pradesh, along the Bay of Bengal.
• It is the largest city in Andhra Pradesh and serves as the administrative headquarters of the Visakhapatnam district.
• PMAY was launched on June 25, 2015, aims to provide affordable housing to the urban poor and ensure "Housing for All" by 2022.
• PMAY (Urban): Focuses on providing housing in urban areas, PMAY (Gramin): Targets rural housing.

Additional Information 

The correct answer is Kolkata.

Key Points

• The headquarters of the Zoological Survey of India (ZSI) is located in Kolkata, West Bengal.
• The Zoological Survey of India (ZSI) was established in 1916.
• Motto: The motto of ZSI is "Knowledge of Animals for the Use of Mankind."
• It operates under the Ministry of Environment, Forest and Climate Change, Government of India.

Additional Information