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CTET 1 Mar 2026 Paper 1, Question 51

Topic: Pedagogy of mathematics

Q51

‘Infinite series of π\pi’ was invented by __________.

  1. (1) Mahavira
  2. (2) Aryabhata
  3. (3) RamanujanCorrect answer
  4. (4) Bhaskara I

Solution.

CBSE answer: (3)

Answer: (3) Ramanujan

  1. Srinivasa Ramanujan, in his 1914 paper on approximations to π\pi, gave several fast-converging infinite series for 1π\frac{1}{\pi}, still used to compute π\pi to many digits.
  2. The earliest known infinite series for π\pi came from Madhava of Sangamagrama, but he is not among the options.
  3. Aryabhata gave the approximation 3.14163.1416, not a series; Mahavira wrote on arithmetic and combinations; Bhaskara I wrote a commentary on Aryabhata.

Trap: Mahavira sounds close to Madhava, but they are different mathematicians.