Search Previous Year Questions

The correct answer is 332 m/sec.

Key Points

• The velocity of sound in air under normal conditions (at 0°C and 1 atmospheric pressure) is approximately 332 meters per second (m/s).
• Sound travels faster in denser mediums, and the speed of sound in air increases with the rise in temperature.
• The speed of sound in air is determined using the formula: v = √(γRT/M), where γ is the adiabatic index, R is the universal gas constant, T is the temperature in Kelvin, and M is the molar mass of air.
• At 20°C, the velocity of sound in air increases to approximately 343 m/s.
• The velocity of sound depends on the medium through which it travels and is influenced by the temperature, pressure, and density of the medium.

Additional Information

• 3320 m/sec:
• This option is incorrect as it represents the speed of sound in a solid medium, such as steel, where sound travels much faster than in air due to the higher density and elastic properties of solids.
• The speed of sound in steel is approximately 5000-6000 m/s, depending on its properties.
• 30 m/sec:
• This option is incorrect. A speed of 30 m/s is much slower and does not represent the speed of sound in any common medium.
• It could represent the speed of an object or motion in everyday scenarios, but not sound propagation.
• 320 m/sec:
• This option is close to the correct value but slightly lower. It might be considered an approximation of the speed of sound in air at slightly lower temperatures.
• However, the standard value for the speed of sound at 0°C is precisely 332 m/s.
• Velocity of Sound in Different Mediums:
• The speed of sound varies in different mediums: it is slowest in gases, faster in liquids, and fastest in solids due to differences in density and elasticity.
• For example:
• In water: ~1482 m/s
• In steel: ~5000-6000 m/s
• In air: ~332 m/s at 0°C
• Sound cannot travel in a vacuum because it requires a medium (solid, liquid, or gas) for propagation.

Given:

Average age of father and son = 22 years

Ratio of their ages = 19:3

Formula used:

Average = (Sum of Ages) ÷ 2

Sum of Ages = Total Ratio × Age per unit

Calculation:

Sum of Ages = 22 × 2 = 44

Ratio sum = 19 + 3 = 22

Age per unit = Total Age ÷ Ratio sum

⇒ Age per unit = 44 ÷ 22 = 2

Father's age = 19 × Age per unit

⇒ Father's age = 19 × 2 = 38 years

∴ The correct answer is option (3).

Given:

Product of two consecutive prime numbers = 3127

Find the greater prime number.

Formula used:

If two consecutive primes are p and next prime q, then p × q = given number

Calculations:

Check approximate square root of 3127 to estimate the primes: √3127 ≈ 55.9

Consecutive primes around 55: 53 and 59

Check product: 53 × 59 = 3127

Greater number = 59

Answer: 59

The correct answer is Venus.

Key Points

• Venus is the hottest planet in the solar system due to its thick atmosphere composed mainly of carbon dioxide (CO₂), which traps heat through a runaway greenhouse effect.
• The average surface temperature of Venus is approximately 465°C (869°F), making it hotter than Mercury despite being farther from the Sun.
• The dense atmosphere of Venus contains clouds of sulfuric acid, which further contribute to its heat retention and extreme conditions.
• Unlike Mercury, Venus retains its heat because its atmosphere prevents the escape of thermal radiation into space.
• Venus has a slow rotation period of 243 Earth days, which does not significantly affect its surface temperature due to the uniform heat distribution across the planet.

Additional Information

• Mercury:
• Mercury is the closest planet to the Sun, but it is not the hottest due to its lack of a significant atmosphere to trap heat.
• Its surface temperature varies widely, ranging from -173°C (-280°F) at night to 427°C (800°F) during the day.
• Mercury has a thin exosphere composed mainly of oxygen, sodium, hydrogen, helium, and potassium.
• Mars:
• Mars is a cold planet with an average surface temperature of about -60°C (-80°F) due to its thin atmosphere primarily composed of carbon dioxide.
• The planet experiences temperature extremes, with daytime highs reaching 20°C (68°F) and nighttime lows dropping to -125°C (-195°F).
• Mars is known for its reddish appearance caused by iron oxide (rust) on its surface.
• Saturn:
• Saturn is a gas giant with an average temperature of -178°C (-288°F) due to its great distance from the Sun.
• The planet is composed mostly of hydrogen and helium, and it lacks a solid surface.
• Saturn is famous for its extensive ring system, which is primarily composed of ice particles and rocky debris.
• Main Topic - Hottest Planet:
• The title "hottest planet" refers to the planet with the highest average surface temperature in the solar system.
• Venus holds this title due to its runaway greenhouse effect, despite being the second planet from the Sun.
• Understanding the atmospheric composition and heat retention mechanisms of planets helps scientists study climate systems and planetary evolution.

The correct answer is Brahmaputra.

Key Points

• The Brahmaputra river originates from the Angsi Glacier in Tibet, outside Indian Territory, and flows through Tibet, India, and Bangladesh.
• It is known as the Yarlung Tsangpo in Tibet before entering India.
• The Brahmaputra is one of the largest rivers globally, and its basin covers parts of Tibet, Arunachal Pradesh, Assam, and Bangladesh.
• In India, it enters through Arunachal Pradesh and is called the Dihang before merging with other tributaries to form the Brahmaputra.
• The river plays a vital role in irrigation, transportation, and maintaining biodiversity in the northeastern region of India.

Additional Information

• Mahanadi:
• The Mahanadi river originates from the Sihawa hills in Chhattisgarh, India.
• It flows through Chhattisgarh and Odisha before draining into the Bay of Bengal.
• Known as the "Gift of Odisha," the Mahanadi is crucial for irrigation and hydroelectric power in its basin.
• Chenab:
• The Chenab river originates from the confluence of the Chandra and Bhaga rivers near Tandi in Himachal Pradesh, India.
• It flows through Jammu and Kashmir in India before entering Pakistan.
• The river is known for its potential in hydroelectric projects and irrigation purposes.
• Ravi:
• The Ravi river originates near the Kullu hills in Himachal Pradesh, India.
• It flows through Himachal Pradesh and Punjab before entering Pakistan.
• Ravi is one of the five rivers of Punjab and is significant for irrigation and agriculture in the region.
• Theme of the Question:
• India is home to several major rivers, many of which originate within its territory. However, some rivers like Brahmaputra begin outside Indian boundaries but significantly impact the country's geography, economy, and ecology.
• Understanding the origin and course of rivers is crucial for managing water resources, agriculture, and biodiversity.

The correct answer is James Augustus Hicky.

Key Points

• James Augustus Hicky is credited with publishing the first newspaper in India, named “Hicky’s Bengal Gazette”, also known as the “Calcutta General Advertiser”.
• Hicky’s Bengal Gazette was first published in 1780 during British rule in India, making it the first English-language newspaper in the country.
• This newspaper was a weekly publication and served as a significant medium for expressing public opinion and addressing socio-political issues of that era.
• Hicky’s Bengal Gazette was known for its critical stance against British authorities, including Governor-General Warren Hastings, which eventually led to its suppression.
• Despite its short lifespan, the newspaper laid the foundation for the growth of journalism in India and is regarded as a milestone in Indian media history.

Additional Information

• Harish Chandra Mukherjee
• He was a prominent journalist and social reformer in India during British rule.
• He is best known for editing the newspaper “Hindoo Patriot”, which played a crucial role in exposing atrocities during the Indigo Rebellion in Bengal.
• His efforts highlighted the plight of indigo farmers and contributed to the socio-political awakening of the Indian masses.
• Deen Bandhu Mitra
• Deen Bandhu Mitra was a renowned playwright and social reformer in 19^th-century Bengal.
• He is widely recognized for his play “Nil Darpan”, which depicted the exploitation of indigo farmers by British planters.
• Though not directly linked to newspaper publishing, his works significantly impacted Indian journalism and social reform movements.
• Hem Chandra Kar
• Hem Chandra Kar was a noted figure in Bengali literature and social reform during the British colonial period.
• While he made contributions to literature and education, there is no record of his involvement in publishing India’s first newspaper.

The correct answer is Reita Faria.

Key Points

• Reita Faria was the first Indian woman to win the Miss World title in 1966, marking a historic moment for India on the global stage of beauty pageants.
• She became the first Asian woman to be crowned Miss World, paving the way for future Indian beauty queens.
• Unlike many other pageant winners, Reita chose to pursue a career in medicine instead of continuing in the entertainment or modeling industry.
• She completed her medical studies and became a doctor, showcasing her commitment to education and professional development.
• Her achievement not only brought global recognition to India but also inspired a generation of women to participate in international beauty contests.

Additional Information

• Lara Dutta
• Lara Dutta won the Miss Universe title in 2000, becoming the second Indian woman to win this prestigious title after Sushmita Sen.
• She later pursued a successful career in Bollywood, starring in several notable films.
• Lara is also known for her advocacy work and entrepreneurial ventures.
• Sushmita Sen
• Sushmita Sen was crowned Miss Universe in 1994, becoming the first Indian woman to achieve this honor.
• She went on to have a successful acting career and is a prominent figure in Indian cinema.
• Sushmita is admired for her philanthropic efforts and for being a role model for single mothers in India.
• Aishwarya Rai
• Aishwarya Rai won the Miss World title in 1994, the same year Sushmita Sen won Miss Universe, bringing double glory to India.
• She is widely regarded as one of the most beautiful women in the world and is a global icon.
• Aishwarya has had a highly successful career in Bollywood and Hollywood and is also known for her humanitarian work.
• Miss World Pageant
• The Miss World pageant is one of the oldest and most prestigious international beauty contests, founded in 1951 in the United Kingdom.
• It focuses on beauty with a purpose, emphasizing social and humanitarian causes supported by the contestants.
• India has won the Miss World title multiple times, with winners like Reita Faria, Aishwarya Rai, Priyanka Chopra, and Manushi Chhillar.

The correct answer is Antonio Guterres.

Key Points

• Antonio Guterres has been the Secretary-General of the United Nations since January 1, 2017, succeeding Ban Ki-moon.
• During his tenure, several global events and crises unfolded, including 'Operation Sindoor,' which was initiated during his leadership.
• 'Operation Sindoor' was a significant international event involving peacekeeping and humanitarian efforts under the aegis of the United Nations.
• Antonio Guterres has focused on addressing global challenges such as climate change, inequality, and conflict resolution during his term.
• As Secretary-General, he has played a pivotal role in coordinating international responses to various crises, including peacekeeping operations worldwide.

Additional Information

• U Thant
• U Thant was the third Secretary-General of the United Nations, serving from 1961 to 1971.
• He played a crucial role during the Cuban Missile Crisis and the Congo Crisis.
• U Thant was the first non-European Secretary-General and emphasized decolonization and global peace.
• Trygve Lie
• Trygve Lie was the first Secretary-General of the United Nations, serving from 1946 to 1952.
• He was instrumental in establishing the United Nations in its formative years after World War II.
• His tenure included critical efforts in post-war reconstruction and conflict resolution.
• Dag Hammarskjöld
• Dag Hammarskjöld was the second Secretary-General of the United Nations, serving from 1953 until his death in 1961.
• He is widely regarded for his role in strengthening the UN's peacekeeping capabilities.
• Hammarskjöld was posthumously awarded the Nobel Peace Prize in 1961 for his contributions to global peace.
• Main Theme: United Nations Secretary-General
• The Secretary-General is the head of the United Nations Secretariat and the chief administrative officer of the organization.
• The role includes addressing global challenges, mediating conflicts, and promoting international cooperation.
• The Secretary-General is appointed by the General Assembly on the recommendation of the Security Council.

The number of rectangle in the given figure are shown below:

Thus, as marked there are a total of 21 rectangles.

Hence, "Option 3" is the correct answer.

The logic followed here is:

16 : 56 → 16 × 4 - 8 = 64 - 8 ⇒ 56

Similarly, 

32 : ? → 32 × 4 - 8 = 128 - 8 ⇒ 120

Hence, "Option 1" is the correct answer.