Which of the following is not Madhava's series?

Madhava's series for arctangent

Do You Know Madhava Series?

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| By Zlatan Aleksic

Zlatan Aleksic

Community Contributor

Quizzes Created: 193 | Total Attempts: 1,059,956

Questions: 10 | Attempts: 118 | Updated: Mar 21, 2023

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Madhava series are product of Madhava of Sangamagrama's research and his contribution to mathematics. Your knowledge will be challenged with this quiz and you will find out are you an expert on this topic!

Questions and Answers

1.

Where from is Madhava of Sangamagrama?
- A.
  
  Sangamagrama
- B.
  
  Mira-Bhayandar
- C.
  
  Bareily
- D.
  
  Bhiwandi
Correct Answer
A. Sangamagrama

Explanation
Madhava of Sangamagrama is from Sangamagrama.

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2.

Which of the following is not Madhava's series?
- A.
  
  Madhava's series for arctangent
- B.
  
  Madhava's angle series
- C.
  
  Madhava's cosine series
- D.
  
  Madhava's sine series
Correct Answer
B. Madhava's angle series
3.

What is the number of Pi?
- A.
  
  3.14180
- B.
  
  3.15159
- C.
  
  3.14159
- D.
  
  3.14286
Correct Answer
C. 3.14159

Explanation
The number of Pi is a mathematical constant that represents the ratio of a circle's circumference to its diameter. It is approximately equal to 3.14159.

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4.

Madhava obtained a value for Pi with how many decimal places?
- A.
  
  10
- B.
  
  11
- C.
  
  12
- D.
  
  13
Correct Answer
D. 13

Explanation
Madhava obtained a value for Pi with 13 decimal places. This means that he calculated Pi accurately up to the thirteenth decimal place.

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5.

What has Madhava composed?
- A.
  
  Accurate table of sines
- B.
  
  Astrology chart
- C.
  
  Periodic system of elements
- D.
  
  Composition ring
Correct Answer
A. Accurate table of sines

Explanation
Madhava has composed an accurate table of sines. This means that he has created a comprehensive and precise chart that displays the values of the sine function for various angles. Such a table would be useful in various mathematical and scientific calculations involving trigonometry, enabling accurate calculations and measurements in fields such as physics, engineering, and astronomy.

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6.

How many of Madhava's works, containing any of the series expressions attributed to him, have survived?
- A.
  
  3
- B.
  
  0
- C.
  
  104
- D.
  
  26
Correct Answer
B. 0

Explanation
None of Madhava's works containing any of the series expressions attributed to him have survived.

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7.

Who has rediscovered Madhava series?
- A.
  
  Pierre de Fermat
- B.
  
  Leonhard Euler
- C.
  
  James Gregory
- D.
  
  Rene Descartes
Correct Answer
C. James Gregory

Explanation
James Gregory is the correct answer because he is the one who rediscovered the Madhava series. The Madhava series, also known as the Kerala school series, is a mathematical series that was originally developed by the Indian mathematician Madhava of Sangamagrama in the 14th century. However, the series was lost and forgotten over time. It was James Gregory, a Scottish mathematician, who rediscovered and brought attention to the series in the 17th century. Gregory's rediscovery of the Madhava series played a crucial role in the development of calculus and the expansion of mathematical knowledge.

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8.

When did James Gregory rediscovered Madhava series?
- A.
  
  1793
- B.
  
  1723
- C.
  
  1650
- D.
  
  1668
Correct Answer
D. 1668

Explanation
James Gregory rediscovered Madhava series in 1668.

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9.

For which study did Madhava laid the foundations?
- A.
  
  Calculus
- B.
  
  Geometry
- C.
  
  Algebra
- D.
  
  None of the above
Correct Answer
A. Calculus

Explanation
Madhava laid the foundations for the study of Calculus. Calculus is a branch of mathematics that deals with the study of change and motion. It includes concepts such as limits, derivatives, and integrals. Madhava, an Indian mathematician and astronomer, made significant contributions to the development of Calculus in the 14th century. He is known for his work on infinite series and the discovery of the power series representation of trigonometric functions. Madhava's contributions laid the groundwork for the later development of Calculus by European mathematicians such as Isaac Newton and Gottfried Wilhelm Leibniz.

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10.

In which century was Madhava born?
- A.
  
  13th century
- B.
  
  14th century
- C.
  
  15th century
- D.
  
  12th century
Correct Answer
B. 14th century

Explanation
Madhava was born in the 14th century. This can be inferred from the given options, where the 14th century is the only century listed among the choices.

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