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Contributions of Srinivasa Ramanujan

Description: Srinivasa Ramanujan was an Indian mathematician who made significant contributions to the field of mathematics. This quiz will test your knowledge about his contributions.
Number of Questions: 15
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Tags: srinivasa ramanujan mathematics number theory
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What was Srinivasa Ramanujan's most famous contribution to mathematics?

  1. The Ramanujan prime

  2. The Ramanujan conjecture

  3. The Ramanujan theta function

  4. The Ramanujan modular equation

Show answer
Correct Option: B
Explanation:

The Ramanujan conjecture is a statement about the distribution of prime numbers. It was first proposed by Ramanujan in 1917 and was eventually proven in 2018.

What is the Ramanujan prime?

  1. A prime number that is one less than a power of 2

  2. A prime number that is one more than a power of 2

  3. A prime number that is the sum of two squares

  4. A prime number that is the difference of two squares

Show answer
Correct Option: A
Explanation:

A Ramanujan prime is a prime number that is one less than a power of 2. For example, 17 is a Ramanujan prime because $17 = 2^4 - 1$.

What is the Ramanujan theta function?

  1. A function that is used to calculate the number of ways to partition a positive integer

  2. A function that is used to calculate the sum of the divisors of a positive integer

  3. A function that is used to calculate the number of prime numbers less than a given number

  4. A function that is used to calculate the greatest common divisor of two positive integers

Show answer
Correct Option: A
Explanation:

The Ramanujan theta function is a function that is used to calculate the number of ways to partition a positive integer. For example, the number of ways to partition the number 5 is 7, which can be calculated using the Ramanujan theta function.

What is the Ramanujan modular equation?

  1. An equation that relates the Ramanujan theta function to the Dedekind eta function

  2. An equation that relates the Ramanujan theta function to the Jacobi theta function

  3. An equation that relates the Ramanujan theta function to the Weierstrass elliptic function

  4. An equation that relates the Ramanujan theta function to the Riemann zeta function

Show answer
Correct Option: A
Explanation:

The Ramanujan modular equation is an equation that relates the Ramanujan theta function to the Dedekind eta function. It is a very important equation in number theory and has many applications.

What was Srinivasa Ramanujan's most famous collaboration?

  1. With G.H. Hardy

  2. With J.E. Littlewood

  3. With Godfrey Harold Hardy

  4. With Srinivasa Aiyangar Ramanujan

Show answer
Correct Option: A
Explanation:

Srinivasa Ramanujan's most famous collaboration was with G.H. Hardy. Together, they worked on a number of important problems in number theory, including the Ramanujan conjecture.

What was the name of the journal in which Ramanujan published his first paper?

  1. The Journal of the Indian Mathematical Society

  2. The Quarterly Journal of Pure and Applied Mathematics

  3. The Proceedings of the Cambridge Philosophical Society

  4. The Transactions of the American Mathematical Society

Show answer
Correct Option: A
Explanation:

Ramanujan's first paper was published in the Journal of the Indian Mathematical Society in 1911.

How many papers did Ramanujan publish in his lifetime?

  1. 37

  2. 52

  3. 78

  4. 103

Show answer
Correct Option: A
Explanation:

Ramanujan published 37 papers in his lifetime.

What was the name of the university that awarded Ramanujan an honorary doctorate?

  1. The University of Madras

  2. The University of Cambridge

  3. The University of Oxford

  4. The University of London

Show answer
Correct Option: A
Explanation:

Ramanujan was awarded an honorary doctorate by the University of Madras in 1919.

What was the name of the society that Ramanujan was elected a fellow of?

  1. The Royal Society

  2. The London Mathematical Society

  3. The Cambridge Philosophical Society

  4. The Indian Mathematical Society

Show answer
Correct Option: B
Explanation:

Ramanujan was elected a fellow of the London Mathematical Society in 1918.

What was the name of the disease that Ramanujan died of?

  1. Tuberculosis

  2. Typhoid

  3. Malaria

  4. Dysentery

Show answer
Correct Option: A
Explanation:

Ramanujan died of tuberculosis in 1920.

How old was Ramanujan when he died?

  1. 32

  2. 33

  3. 34

  4. 35

Show answer
Correct Option: A
Explanation:

Ramanujan died at the age of 32.

Where was Ramanujan born?

  1. Erode, Tamil Nadu

  2. Kumbakonam, Tamil Nadu

  3. Chennai, Tamil Nadu

  4. Madurai, Tamil Nadu

Show answer
Correct Option: A
Explanation:

Ramanujan was born in Erode, Tamil Nadu, India.

What was Ramanujan's father's occupation?

  1. A clerk

  2. A teacher

  3. A shopkeeper

  4. A farmer

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Correct Option: A
Explanation:

Ramanujan's father was a clerk in a cloth merchant's shop.

What was Ramanujan's mother's occupation?

  1. A housewife

  2. A teacher

  3. A nurse

  4. A doctor

Show answer
Correct Option: A
Explanation:

Ramanujan's mother was a housewife.

How many siblings did Ramanujan have?

  1. 2

  2. 3

  3. 4

  4. 5

Show answer
Correct Option: C
Explanation:

Ramanujan had four siblings.

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