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Given:

Total amount = ₹9915

Ratio = 3:5:7

Formula used:

Individual's share = \(\dfrac{\text{Individual's ratio}}{\text{Sum of ratios}} \times \text{Total amount}\)

Calculation:

Sum of ratios = 3 + 5 + 7 = 15

C's share = \(\dfrac{7}{15} \times 9915\)

⇒ C's share = \(\dfrac{7 \times 9915}{15}\) = 4627

∴ The correct answer is option (3).

The logic followed here is:

1^st Row → (6 × 5) ÷ 10 = 30 ÷ 10 ⇒ 3

2^nd Row → (2 × 8) ÷ 4 = 16 ÷ 4 ⇒ 4

3^rd Row → (4 × 8) ÷ 8 = 32 ÷ 8 ⇒ 4

4^th Row → (5 × 9) ÷ 3 = 45 ÷ 3 ⇒ 15

Hence, "Option 2" is the correct answer.

Given:

48% of a number = 1248

Formula used:

If x% of a number is y, then the number = \(\dfrac{y \times 100}{x}\)

Calculation:

Let the number be N.

48% of N = 1248

⇒ N = \(\dfrac{1248 \times 100}{48}\) = 2600

∴ The correct answer is option (2).

The correct answer is Narmada.

Key Points

• The Narmada River is one of the major rivers in India flowing westward and drains into the Arabian Sea, not the Bay of Bengal.
• It is often referred to as the "Life Line of Madhya Pradesh and Gujarat" due to its significant role in these states.
• The Narmada originates from the Amarkantak Plateau in Madhya Pradesh and travels approximately 1,312 kilometers.
• It flows through the states of Madhya Pradesh, Maharashtra, and Gujarat before draining into the Arabian Sea at the Gulf of Khambhat.
• Along its course, the Narmada River forms stunning features such as the Marble Rocks at Bhedaghat and various waterfalls like Dhuandhar Falls.

Additional Information

• Mahanadi:
• The Mahanadi River is a major east-flowing river in India that merges into the Bay of Bengal.
• It originates from Chhattisgarh and flows through Odisha before draining into the Bay of Bengal.
• The Hirakud Dam on the Mahanadi is one of the longest dams in the world.
• Krishna:
• The Krishna River is another prominent east-flowing river that merges into the Bay of Bengal.
• It originates from the Western Ghats at Mahabaleshwar in Maharashtra and flows through Karnataka, Telangana, and Andhra Pradesh.
• The Krishna River is known for important dams like Nagarjuna Sagar and Srisailam.
• Godavari:
• The Godavari River is the second-longest river in India and flows eastward into the Bay of Bengal.
• It originates from Trimbakeshwar in Maharashtra and flows through Telangana, Andhra Pradesh, and Odisha.
• The river is often referred to as the "Dakshin Ganga" or the Ganges of the South.
• Main Theme: The question pertains to the geographical orientation of rivers in India, focusing on their drainage patterns and the seas they merge into. Major Indian rivers are categorized based on whether they flow eastward into the Bay of Bengal or westward into the Arabian Sea. Understanding this distinction is vital for geographical studies and competitive examinations.

Given:

\(\dfrac{3}{5} \times \dfrac{8}{9} \times \dfrac{6}{7} \times 665 = ?\)

Calculation:

\(\dfrac{3}{5} \times \dfrac{8}{9} \times \dfrac{6}{7} \times 665 = ?\)

⇒ \(\dfrac{(3 \times 8 \times 6 \times 665)}{(5 \times 9 \times 7)}\)

⇒ 304

∴ The correct answer is option (4).

The correct answer is study of fruits.

Key Points

• Pomology is a branch of botany that focuses specifically on the study of fruits and fruit-bearing plants.
• It involves research, cultivation, and management of fruit crops to enhance production, improve quality, and develop better varieties.
• Pomologists play a key role in understanding the growth cycles, pest management, soil requirements, and climatic conditions suitable for fruit crops.
• Pomology contributes significantly to the agricultural economy by improving yields and ensuring sustainable practices in fruit farming.
• This discipline is integral to horticulture and is widely studied in agricultural sciences globally.

Additional Information

• Option 1: Study of animal behaviours
• Animal behavior is studied in the field of ethology, which examines how animals interact with their environment, each other, and humans.
• It covers topics like mating rituals, foraging habits, defense mechanisms, and communication patterns.
• Ethology aids in understanding animal welfare, conservation efforts, and evolutionary biology.
• Option 2: Study of fossils
• The study of fossils is known as paleontology.
• Paleontology helps scientists understand the history of life on Earth, including extinct species and evolutionary changes.
• Fossils provide key evidence for dating geological formations and studying ancient ecosystems.
• This branch of science overlaps with geology, biology, and archaeology.
• Option 4: Study of teeth
• The study of teeth is termed as odontology.
• It is a branch of dentistry focusing on the anatomy, diseases, and treatment of teeth.
• Odontology is critical for oral health, forensic science (identifying individuals based on dental records), and understanding dietary habits of ancient populations.
• Main Theme
• The question highlights different fields of study that contribute to specialized knowledge and research.
• Pomology, ethology, paleontology, and odontology are distinct disciplines, each playing a crucial role in understanding various aspects of science, nature, and human life.

The correct answer is Football.

Key Points

• The Santosh Trophy is an annual Indian football tournament, which is contested by states and government institutions.
• It was first held in 1941 and is named after Maharaja Sir Manmatha Nath Roy Chowdhary of Santosh, a region in modern-day Bangladesh.
• The tournament is organized by the All India Football Federation (AIFF), the governing body for football in India.
• It serves as a platform for discovering and promoting talented players who can represent the national team in international football competitions.
• The teams competing in the Santosh Trophy are state teams and services teams such as Railways and Services.

Additional Information

• Tennis
• Tennis is a racket sport that can be played individually against a single opponent or between two teams of two players each (doubles).
• Major international tournaments include the Grand Slam events: Australian Open, French Open, Wimbledon, and US Open.
• Famous Indian tennis players include Leander Paes, Mahesh Bhupathi, and Sania Mirza.
• Cricket
• Cricket is a bat-and-ball game played between two teams of eleven players each on a field with a 22-yard pitch in the center.
• It is highly popular in countries such as India, Australia, England, and Pakistan.
• Major tournaments include the ICC Cricket World Cup, ICC T20 World Cup, and the Indian Premier League (IPL).
• Famous trophies in cricket include the Ranji Trophy and Vijay Hazare Trophy in India.
• Badminton
• Badminton is a racket sport played using rackets to hit a shuttlecock across a net.
• It is played in singles (one player per side) or doubles (two players per side).
• Prominent tournaments include the All England Open Badminton Championships and the Olympics.
• Indian players such as P.V. Sindhu, Saina Nehwal, and Kidambi Srikanth have brought international glory to the sport.

The correct answer is Bone Marrow.

Key Points

• Bone marrow is the primary site of red blood cell (RBC) production, a process known as erythropoiesis.
• The process begins with hematopoietic stem cells, which differentiate into erythrocytes (red blood cells).
• Bone marrow is found in the medullary cavities of long bones and the spongy bone tissue of flat bones like the pelvis, sternum, and ribs.
• RBC production is regulated by the hormone erythropoietin, which is secreted by the kidneys in response to low oxygen levels in the blood.
• Bone marrow produces millions of red blood cells daily to ensure the body has an adequate supply of oxygen-carrying cells.
• Diseases affecting the bone marrow, such as aplastic anemia or leukemia, can disrupt RBC production, leading to severe health complications.

Additional Information

• Lymph Nodes:
• Lymph nodes are small, bean-shaped structures that are part of the lymphatic system.
• Their primary function is to filter lymph fluid and house white blood cells like lymphocytes, which play a crucial role in the immune system.
• Lymph nodes do not produce red blood cells but are involved in immune surveillance and response.
• Heart:
• The heart is a muscular organ responsible for pumping blood throughout the body via the circulatory system.
• It does not produce red blood cells; instead, it ensures that RBCs circulate to deliver oxygen to tissues and remove carbon dioxide.
• Liver:
• The liver plays a supportive role in the lifecycle of red blood cells, including the breakdown of old RBCs and the recycling of their components.
• It produces substances like iron and bilirubin that are vital for the body but does not directly produce red blood cells.
• Main Theme:
• Red blood cells are critical for transporting oxygen from the lungs to tissues and organs and removing carbon dioxide from the body.
• The production of RBCs primarily occurs in the bone marrow, which is a vital hematopoietic tissue.
• Understanding the roles of different organs like lymph nodes, liver, and heart helps clarify their distinct functions in the human body.

Given:

Profit after selling trousers at ₹863 = Loss after selling trousers at ₹631

Let the cost price (C.P.) of the trousers = ₹x

Formula used:

Profit = Selling Price (S.P.) - Cost Price (C.P.)

Loss = Cost Price (C.P.) - Selling Price (S.P.)

Given: Profit = Loss

Calculations:

Profit = Loss

⇒ (863 - x) = (x - 631)

⇒ 863 - x = x - 631

⇒ 863 + 631 = 2x

⇒ 1494 = 2x

⇒ x = 1494 / 2 = 747

∴ The correct answer is option (4).

The correct answer is Visakhapatnam.

Key Points

• Visakhapatnam Port is the deepest natural harbor in India and serves as a major deep-water, all-weather port.
• It is located on the eastern coast of India in Andhra Pradesh, along the Bay of Bengal, and is strategically significant for trade.
• The port is equipped to handle large vessels and is operational throughout the year, regardless of weather conditions.
• Established in 1933, Visakhapatnam Port is one of the oldest and busiest ports in India, handling cargo like iron ore, coal, and petroleum products.
• It is a crucial maritime gateway for trade in India and contributes significantly to the economic development of the region.

Additional Information

• Paradeep Port:
• Located in Odisha, Paradeep is one of the major ports on the eastern coast of India.
• It primarily handles bulk cargo, including iron ore, coal, and fertilizers.
• Although it is an all-weather port, it is not as deep as Visakhapatnam and has limitations in handling very large vessels.
• Kandla Port:
• Kandla Port, now known as Deendayal Port, is situated in Gujarat on the western coast of India.
• It is a major port that handles imports and exports, especially petroleum products, grains, and salt.
• Being a shallow draft port, it is not suitable for deep-water vessels and is not classified as a deep-water port.
• Marmugao Port:
• Located in Goa, Marmugao Port is one of the oldest ports in India and is primarily known for exporting iron ore.
• It is not classified as a deep-water port, and its cargo-handling capabilities are limited compared to Visakhapatnam.
• The port is significant for Goa's economy but does not match the scale and depth of Visakhapatnam Port.
• Deep-Water Ports in India:
• Deep-water ports are crucial for handling large vessels and facilitating international trade efficiently.
• India has several deep-water ports, including Visakhapatnam, Chennai, and Cochin, among others.
• These ports contribute significantly to India's maritime trade and economic growth.