Ancient Scientists — Set 3
Inventions · प्राचीन वैज्ञानिक · Questions 21–30 of 50
In ancient Indian mathematics, the 'Meru Prastara' is the equivalent of which modern concept?
Correct Answer: D. Pascal's Triangle
• **Pascal's Triangle** = The 'Meru Prastara' is the ancient Indian equivalent of Pascal's Triangle, describing binomial coefficients. • **Pingala** — The ancient scholar credited with first describing this arrangement in relation to poetic meters. • 💡 Wrong-option analysis: [Linear Algebra]: A branch of mathematics concerning linear equations and transformations, distinct from combinatorial patterns; [Binary Logic]: A system of logic with two truth values (true/false, 0/1), not directly related to 'Meru Prastara'; [Fibonacci Sequence]: A sequence where each number is the sum of the two preceding ones, a different mathematical concept.
Which ancient Indian scientist is credited with the development of the 'Katapayadi' system, a method to denote numbers with letters?
Correct Answer: D. Vararuchi
• **Vararuchi** = He is traditionally credited with developing the 'Katapayadi' system, an alphanumeric method for representing numbers. • **Kerala** — The region where the 'Katapayadi' system was particularly popular for encoding astronomical constants. • 💡 Wrong-option analysis: [Varahamihira]: A prominent astronomer and astrologer, but not primarily associated with the 'Katapayadi' system; [Aryabhata]: Famous for his decimal place value system and contributions to trigonometry, not the 'Katapayadi' system; [Bhaskara I]: A significant mathematician who commented on Aryabhata's work, but not associated with 'Katapayadi'.
The 'Brahma-Sphuta-Siddhanta', which established rules for calculations involving zero and negative numbers, was written by?
Correct Answer: A. Brahmagupta
• **Brahmagupta** = He authored the 'Brahma-Sphuta-Siddhanta', which established rules for calculations involving zero and negative numbers, treating zero as a number. • **Renaissance** — The period when Brahmagupta's mathematical concepts, transmitted via the Islamic world, eventually reached Europe. • 💡 Wrong-option analysis: [Bhaskara II]: A later mathematician who built upon earlier works, including Brahmagupta's, but did not author this specific text; [Sridhara]: Another Indian mathematician known for work on quadratic equations, but not for 'Brahma-Sphuta-Siddhanta'; [Aryabhata]: Developed the decimal system and the concept of zero as a placeholder, but Brahmagupta was the first to define operations with zero as a number.
Which ancient philosopher founded the Nyaya school, which specialized in the logic and the scientific method of inquiry?
Correct Answer: C. Gotama
• **Gotama** = Acharya Gotama founded the Nyaya school of Hindu philosophy, which is renowned for its contributions to logic and epistemology. • **Four sources of knowledge** — Defined by the Nyaya school: perception, inference, comparison, and testimony, forming a rigorous method of inquiry. • 💡 Wrong-option analysis: [Kapila]: Associated with the Samkhya school of philosophy; [Kanada]: Founder of the Vaisheshika school, known for its atomic theory; [Jaimini]: Associated with the Purva Mimamsa school, focused on Vedic interpretation and ritual.
The 'Hastyayurveda', an ancient Indian veterinary text dedicated specifically to elephants, was written by?
Correct Answer: A. Palakapya
• **Palakapya** = He authored the 'Hastyayurveda', a comprehensive ancient Indian veterinary text specifically on elephants. • **Shalihotra** — Another ancient authority who wrote a similar veterinary text, but for horses, not elephants. • 💡 Wrong-option analysis: [Charaka]: A major figure in human medicine (Ayurveda), author of 'Charaka Samhita', not animal medicine; [Shalihotra]: The pioneer of veterinary science for horses, not elephants; [Sushruta]: Another major figure in human surgery (Ayurveda), author of 'Sushruta Samhita', not animal medicine.
Who is considered the pioneer of Veterinary Science in India, specifically for his work on horses titled 'Haya Ayurveda'?
Correct Answer: A. Shalihotra
• **Shalihotra** = He is considered the pioneer of Veterinary Science in India, renowned for his comprehensive work 'Haya Ayurveda' on horses. • **'Shalihotri'** — A term sometimes used for veterinarians in parts of India, reflecting Shalihotra's lasting legacy. • 💡 Wrong-option analysis: [Charaka]: A key figure in human Ayurveda, not animal veterinary science; [Palakapya]: Author of 'Hastyayurveda', a veterinary text focused on elephants, not horses; [Dhanvantari]: The physician of the gods in Hinduism and an important deity in Ayurveda, but not a specific author of veterinary texts.
Which ancient astronomer provided the first known mathematical formula for calculating the area of a cyclic quadrilateral?
Correct Answer: A. Brahmagupta
• **Brahmagupta** = He provided the first known mathematical formula for calculating the area of a cyclic quadrilateral, a significant advancement in geometry. • **Nearly a millennium** — The approximate period before this sophisticated discovery was independently made in Western mathematics. • 💡 Wrong-option analysis: [Aryabhata]: Known for approximations of pi and trigonometry, but not specifically for this cyclic quadrilateral formula; [Mahavira]: A Jain mathematician known for 'Ganita Sara Samgraha', but not for Brahmagupta's formula; [Bhaskara II]: A later mathematician who made significant contributions to algebra and calculus, but Brahmagupta predates him for this specific formula.
The 'Arthashastra', while a political text, contains detailed ancient descriptions of mining and metallurgy. Who is its author?
Correct Answer: C. Kautilya
• **Kautilya** = Also known as Chanakya, he authored the 'Arthashastra', a treatise that includes detailed descriptions of mining and metallurgy alongside political science. • **Chanakya** — An alternative name for Kautilya, highlighting his historical identity as a statesman and advisor. • 💡 Wrong-option analysis: [Chandragupta]: The founder of the Maurya Empire, for whom Kautilya served as an advisor, but not the author; [Ashoka]: A later Mauryan emperor, known for spreading Buddhism, not the author of 'Arthashastra'; [Kalidasa]: A renowned classical Sanskrit writer and poet, whose works are primarily literary, not political science.
Which ancient Indian mathematician is famous for his work on 'Bijaganita' (Algebra)?
Correct Answer: D. Bhaskara II
• **Bhaskara II** = He is renowned for his work 'Bijaganita', a comprehensive treatise on algebra, which was influential in ancient Indian mathematics. • **Two square roots** — Bhaskara II was the first to recognize that a positive number has both a positive and a negative square root. • 💡 Wrong-option analysis: [Brahmagupta]: Made significant contributions to algebra earlier, but Bhaskara II's 'Bijaganita' is a more comprehensive and advanced text specifically on the subject; [Aryabhata]: Known for his work 'Aryabhatiya', which included arithmetic and trigonometry, but not 'Bijaganita'; [Varahamihira]: Primarily an astronomer and astrologer, not known for a major work on algebra like 'Bijaganita'.
The 'Siddhanta Shiromani' is a massive four-part work covering mathematics and astronomy by?
Correct Answer: B. Bhaskara II
• **Bhaskara II** = He authored the 'Siddhanta Shiromani', a monumental four-part work encompassing mathematics and astronomy, including sections like 'Lilavati' and 'Bijaganita'. • **1150 AD** — The year Bhaskara II composed the 'Siddhanta Shiromani', marking a high point in classical Indian mathematical thought. • 💡 Wrong-option analysis: [Bhaskara I]: An earlier mathematician, known for commentaries on Aryabhata's work, not 'Siddhanta Shiromani'; [Brahmagupta]: A significant mathematician who contributed to earlier works, but 'Siddhanta Shiromani' is attributed to Bhaskara II; [Aryabhata]: Author of 'Aryabhatiya', a foundational text, but not the 'Siddhanta Shiromani'.