SF Prep

🇮🇳 Indian Mathematicians भारतीय गणितज्ञ

9 exam-ready facts · 9 MCQs

  1. 1

    1729 is called the Hardy–Ramanujan number; it is the smallest number expressible as the sum of two cubes in two different ways: 1³ + 12³ = 9³ + 10³.

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    Practice (1)
    Q1

    Which number is known as the 'Hardy–Ramanujan number'?

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    Correct answer: D — 1729

    1729 = 1³ + 12³ = 9³ + 10³. 6174 is Kaprekar's constant and 2520 is the LCM of 1 to 10.
  2. 2

    Srinivasa Ramanujan (1887–1920) was born in Erode (Tamil Nadu); he was elected a Fellow of the Royal Society (FRS) in 1918 and worked with G. H. Hardy at Cambridge.

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    Practice (1)
    Q2

    With which mathematician did Srinivasa Ramanujan work at Cambridge?

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    Correct answer: A — G. H. Hardy

    Hardy invited Ramanujan to Cambridge; that is why 1729 is called the Hardy–Ramanujan number.
  3. 3

    Brahmagupta wrote the 'Brahmasphutasiddhanta' in 628 CE, which gave rules for computing with zero, treating it as a number.

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    Q3

    Who wrote the 'Brahmasphutasiddhanta'?

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    Correct answer: C — Brahmagupta

    Aryabhata wrote the 'Aryabhatiya', Bhaskaracharya the 'Siddhanta Shiromani' and Varahamihira the 'Pancha-siddhantika'.
  4. 4

    Bhaskara II (Bhaskaracharya, born 1114) wrote the 'Siddhanta Shiromani'; its first part, 'Lilavati', deals with arithmetic.

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    Q4

    The mathematical text 'Lilavati' was written by:

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    Correct answer: C — Bhaskaracharya

    Lilavati is the first part of Bhaskaracharya's 'Siddhanta Shiromani'. Brahmagupta wrote the 'Brahmasphutasiddhanta'.
  5. 5

    Aryabhata gave the value of π as approximately 3.1416 (62832/20000).

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    Practice (1)
    Q5

    Which approximate value of π did Aryabhata give?

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    Correct answer: A — 3.1416

    Aryabhata: 62832/20000 = 3.1416. 22/7 ≈ 3.1428 and √10 ≈ 3.1623.
  6. 6

    Madhava of Sangamagrama (c. 1340–1425) is regarded as the founder of the Kerala school of astronomy and mathematics; he gave infinite series for π and trigonometric functions.

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    Q6

    Who is regarded as the founder of the Kerala school of astronomy and mathematics?

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    Correct answer: D — Madhava of Sangamagrama

    Madhava gave an infinite series for π about two centuries before it appeared in Europe.
  7. 7

    The decimal place-value system with zero developed in India and reached Europe through Arab mathematicians, which is why it is called the Hindu–Arabic numeral system.

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    Q7

    What is the 0–9 numeral system used today called?

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    Correct answer: B — Hindu–Arabic numeral system

    It originated in India and reached Europe via the Arabs. Roman numerals have no zero.
  8. 8

    P. C. Mahalanobis founded the Indian Statistical Institute (Kolkata) and gave the 'Mahalanobis distance'; his birth anniversary, 29 June, is observed in India as National Statistics Day.

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    Q8

    National Statistics Day in India marks the birth anniversary of:

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    Correct answer: D — P. C. Mahalanobis

    29 June is Mahalanobis's birth anniversary; 22 December (Ramanujan) is National Mathematics Day.
  9. 9

    Shakuntala Devi is known as the 'Human Computer'; on 18 June 1980 at Imperial College, London, she gave the product of two 13-digit numbers in 28 seconds, a feat recorded in the 1982 Guinness Book of World Records.

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    Q9

    Who is popularly known as the 'Human Computer'?

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    Correct answer: B — Shakuntala Devi

    Shakuntala Devi was famous for mental calculation; Anandibai Joshi was one of the first Indian women doctors.