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The correct answer is Silver Bromide.

Key Points

• Silver Bromide (AgBr) is a light-sensitive compound extensively used in photographic films and papers due to its ability to capture images by reacting to light.
• When exposed to light, silver bromide undergoes a photochemical reaction that causes it to decompose into metallic silver, creating the photographic image.
• This compound belongs to the category of silver halides, which are widely recognized for their applications in the photographic industry.
• Silver bromide crystals are suspended in a gel-like emulsion and coated onto photographic films or papers, enabling the formation of a latent image that can later be developed chemically.
• Despite advancements in digital photography, silver bromide continues to be used in specialized fields like analog photography and medical imaging due to its superior image quality.

Additional Information

• Sodium Chloride (NaCl):
• Sodium chloride, commonly known as table salt, is primarily used in food seasoning and preservation rather than photography.
• It is also utilized in industrial processes like chlorine production and water softening.
• Although not directly linked to photography, sodium chloride is chemically significant as it forms ionic bonds and is a basic example of a crystalline solid.
• Aluminium Hydroxide (Al(OH)₃):
• Aluminium hydroxide is widely used as an antacid to neutralize stomach acid and relieve indigestion.
• It is also utilized in the production of aluminum-based compounds and as a flame retardant in polymers.
• This compound does not play any role in photography or image formation.
• Potassium Nitrate (KNO₃):
• Potassium nitrate is commonly known as saltpeter and is used in fertilizers, explosives, and food preservation.
• Its application in photography is negligible, although it has historical significance in gunpowder production.
• It is primarily used for its oxidizing properties in chemical reactions.

Given:

A, B and C enter into partnership

B invests double the amount after 6 months

C invests thrice the amount invested by A after 8 months

Total profit = Rs. 45,000

Find C's share

Formula used:

Profit share ∝ Investment × Time

Share of partner = (Individual's investment × time) / Total investment × time × Total profit

Calculations:

Let A's investment = x

B's investment = 2x for 6 months = 2x × 6 = 12x

C's investment = 3x for 4 months = 3x × 4 = 12x

A's investment for 12 months = x × 12 = 12x

Total investment × time = 12x + 12x + 12x = 36x

Share of C = 12x / 36x × 45,000 = 1/3 × 45,000 = 15,000

Answer: 15,000 Rs

The correct answer is New York.

Key Points

• The headquarters of the United Nations (UN) is located in New York City, USA.
• It is situated on international territory along the East River in Manhattan and was officially opened on October 24, 1949.
• The UN headquarters serves as the primary location for important meetings of the General Assembly, Security Council, and other UN bodies.
• The site for the headquarters was purchased with a donation of $8.5 million from John D. Rockefeller Jr., a notable philanthropist.
• The headquarters is often referred to as an international zone, which means it is not governed by U.S. law but by the UN’s own regulations.

Additional Information

• Washington DC
• Washington DC is the capital city of the United States and serves as the political, administrative, and cultural hub of the country.
• It houses major governmental institutions such as the White House, the US Capitol, and the Supreme Court.
• It is not the headquarters of the United Nations but plays a significant role in global diplomacy and international relations.
• Geneva
• Geneva, Switzerland, is home to several international organizations, including the World Health Organization (WHO), the World Trade Organization (WTO), and the International Labour Organization (ILO).
• It is also an important location for the United Nations, hosting the United Nations Office at Geneva (UNOG), the second-largest office of the UN after New York.
• However, Geneva is not the primary headquarters of the United Nations.
• Paris
• Paris, France, is the headquarters of the United Nations Educational, Scientific and Cultural Organization (UNESCO).
• UNESCO focuses on promoting international cooperation in education, science, culture, and communication.
• While it is an important UN agency, Paris is not the headquarters of the United Nations.
• United Nations Overview
• The United Nations was established on October 24, 1945, after World War II to promote international peace, security, and cooperation.
• It currently has 193 member states, making it one of the largest international organizations in the world.
• The UN operates through six main organs, including the General Assembly, Security Council, and International Court of Justice$.

Given:

-[(√324 - √256) × -4.5] = ?

Formula used:

√a = square root of a

Calculations:

√324 = 18, √256 = 16

⇒ (√324 - √256) = 18 - 16 = 2

⇒ 2 × -4.5 = -9

⇒ -[-9] = 9

Answer: 9

The correct answer is Nagaland.

Key Points

• Nagaland is one of the 28 states of India and not a Union Territory.
• It is located in Northeast India and shares borders with Assam, Arunachal Pradesh, Manipur, and Myanmar.
• Established as a state on 1^st December 1963, Nagaland is known for its rich cultural heritage and ethnic diversity.
• The capital of Nagaland is Kohima, while Dimapur is the largest city in the state.
• Nagaland is governed by its own legislative assembly and state government, unlike Union Territories which are mostly governed by the Central Government.

Additional Information

• Lakshadweep:
• Lakshadweep is a Union Territory of India, consisting of 36 islands located in the Arabian Sea.
• The name "Lakshadweep" means "one hundred thousand islands" in Sanskrit.
• Kavaratti serves as the capital of Lakshadweep, and the territory is known for its coral reefs and pristine beaches.
• It is directly administered by the Central Government through a Lieutenant Governor.
• Puducherry:
• Puducherry is a Union Territory in Southern India, consisting of four districts: Puducherry, Karaikal, Mahe, and Yanam.
• It was formerly a French colony and retains a unique blend of Indian and French culture.
• Puducherry enjoys partial statehood, with an elected legislative assembly and a Chief Minister.
• The Union Territory is under the administrative control of the Central Government through the Lieutenant Governor.
• Dadra & Nagar Haveli and Daman & Diu:
• This Union Territory was formed by merging Dadra & Nagar Haveli and Daman & Diu on 26 January 2020.
• It is located in Western India and consists of coastal areas along the Arabian Sea.
• Silvassa is the capital of Dadra & Nagar Haveli and Daman & Diu.
• The territory is administered by the Central Government through a Lieutenant Governor.

The correct answer is Sukumar Sen.

Key Points

• Sukumar Sen was the first Chief Election Commissioner (CEC) of India, appointed in March 1950.
• He presided over the first general elections of India held between 1951-52 under the Constitution of India.
• Sukumar Sen was widely regarded for his organizational and administrative skills during the challenging task of conducting elections in a newly independent nation.
• Under his leadership, India’s first elections were conducted smoothly, with over 176 million registered voters.
• His tenure as Chief Election Commissioner lasted from 1950 to 1958, during which he laid the foundation of India’s electoral process.
• Sukumar Sen was an Indian civil servant from the Indian Civil Services (ICS) and played a pivotal role in establishing free and fair elections in India.

Additional Information

• M. S. Gill:
• M. S. Gill served as the Chief Election Commissioner of India from 1996 to 2001.
• He played a key role in introducing reforms such as the use of electronic voting machines (EVMs) in elections.
• He also worked to enhance transparency and efficiency in the electoral process.
• Mrs. V. S. Rama Devi:
• Mrs. V. S. Rama Devi served as the Chief Election Commissioner of India for a brief tenure in 1990.
• She was the first woman Chief Election Commissioner of India.
• Her contributions were significant in ensuring gender representation and inclusion in electoral systems.
• T. N. Seshan:
• T. N. Seshan served as the Chief Election Commissioner of India from 1990 to 1996.
• He is renowned for bringing stringent reforms to curb malpractices in elections.
• He focused on improving voter awareness, enforcing the Model Code of Conduct, and enhancing the autonomy of the Election Commission.
• Chief Election Commissioner of India:
• The Chief Election Commissioner (CEC) heads the Election Commission, which is responsible for conducting free and fair elections in India.
• The CEC is appointed by the President of India and serves a term of 6 years or until the age of 65, whichever is earlier.
• The Election Commission ensures democratic processes for the election of Members of Parliament, state legislatures, and the offices of the President and Vice-President.

The correct answer is MS-DOS.

Key Points

• MS-DOS (Microsoft Disk Operating System) is a single-user operating system designed primarily for personal computers.
• It does not support multiple users working simultaneously or multi-tasking capabilities that are characteristic of multi-user operating systems.
• MS-DOS operates using a command-line interface where users input commands for file management and software execution.
• It was widely used during the early stages of personal computer development but became obsolete with the advent of graphical user interface (GUI)-based operating systems like Windows.
• Due to its single-user architecture, MS-DOS is not suitable for environments requiring concurrent access or multi-user features.

Additional Information

• Windows 2000:
• Windows 2000 is a multi-user operating system developed by Microsoft, primarily designed for professional and business environments.
• It provides advanced features like multi-tasking, support for multiple users, and enhanced security protocols for networked systems.
• It was widely used in enterprise settings due to its ability to manage server-client architecture and provide remote access features.
• UNIX:
• UNIX is a multi-user, multi-tasking operating system developed for servers, mainframes, and workstations.
• It is known for its stability, scalability, and ability to support multiple users simultaneously.
• UNIX forms the foundation for many modern operating systems like Linux and macOS.
• It is widely used in enterprise and academic environments for its robust performance and security features.
• Windows XP:
• Windows XP is a multi-user operating system designed for both personal and professional use.
• It supports multi-tasking and allows different users to have separate accounts on the same machine.
• Windows XP introduced significant improvements in user interface design and system stability compared to earlier versions of Windows.
• It was a popular choice for home and office users during its time.
• Concept of Multi-user Operating Systems:
• Multi-user operating systems allow multiple users to access and use a computer system simultaneously.
• Such systems provide resource allocation, security, and management features to ensure efficient performance.
• Examples include UNIX, Linux, and modern versions of Windows (like Windows Server editions).

The correct answer is Kalinga Award.

Key Points

• The Kalinga Award is an international award established by UNESCO in 1951.
• It is given to individuals who have made significant contributions to the popularization of science and technology in society.
• It aims to foster public understanding of the importance and role of science in daily life.
• The award consists of a monetary prize, a certificate, and a UNESCO Albert Einstein silver medal.
• The award was instituted by Biju Patnaik, the former Chief Minister of Odisha, India, and is funded by the Kalinga Foundation Trust.

Additional Information

• Kalidas Samman:
• It is a prestigious arts award presented annually by the Madhya Pradesh government in India.
• The award recognizes exceptional achievements in the fields of classical music, classical dance, theatre, and visual arts.
• It is named after the classical Sanskrit poet and dramatist Kalidasa, regarded as one of the greatest Indian literary figures.
• Magsaysay Award:
• It is an annual award established in 1957 by the trustees of the Rockefeller Brothers Fund based in the Philippines.
• The award recognizes outstanding contributions in government service, public service, community leadership, journalism, literature, and creative arts.
• It is often referred to as Asia’s Nobel Prize.
• Booker Prize:
• The Booker Prize, formerly known as the Man Booker Prize, is a prestigious literary prize awarded annually for the best original novel written in the English language.
• It was first awarded in 1969 and is open to authors from around the world.
• The Booker Prize aims to promote the finest fiction written in English and has a significant impact on the sales and recognition of the winning books.
• Main Theme:
• The Kalinga Award emphasizes the importance of science communication and its role in making science accessible and comprehensible to the general public.
• Such awards encourage individuals to engage in public outreach and education in the fields of science and technology, bridging the gap between the scientific community and society.

Given:

Tap 1 empties the tank in 30 minutes.

Tap 2 empties the tank in 45 minutes.

Formula used:

If two taps work simultaneously, their combined rate of emptying = Sum of their rates.

Time required to empty the tank = 1 / (Combined rate).

Calculation:

Rate of Tap 1 = 1/30 tank/min.

Rate of Tap 2 = 1/45 tank/min.

Combined rate = (1/30) + (1/45)

⇒ Combined rate = \(\dfrac{3+2}{90} = \dfrac{5}{90} = \dfrac{1}{18}\) tank/min.

Time required = 1 / (Combined rate)

⇒ Time required = 1 / (1/18) = 18 minutes.

∴ The correct answer is option (2).

Given:

Numerator increased by 200%.

Denominator increased by 120%.

Resultant fraction = \(\dfrac{4}{11}\).

Formula used:

Let the original fraction be \(\dfrac{x}{y}\).

Numerator after increase = x + 200% of x = x + 2x = 3x.

Denominator after increase = y + 120% of y = y + 1.2y = 2.2y.

Resultant fraction = \(\dfrac{3x}{2.2y} = \dfrac{4}{11}\)

⇒ \(\dfrac{x}{y} = \dfrac{4 \times 2.2}{3 \times 11}\)

⇒ \(\dfrac{x}{y} = \dfrac{4}{15}\)

∴ The original fraction is \(\dfrac{4}{15}\).