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# Most Probable UPSC Interview Questions for Mathematics Optional Student.

Q) What is Ramanujan's Number?

Answer: 1729 is known as Ramanujan's Number. It is a very interesting number; it is the smallest number expressible as the sum of two cubes in two different ways.

1729 = 1^3 + 12^3 => 9^3 + 10^3

In words, (Cube 0f 1 + cube of 12) = (cube of 9 + cube of 10)

# National Mathematics Day is celebrated on 22nd December every year to mark the birth anniversary of legendary Mathematician, Srinivasa Ramanujan.

Q) What is Algebra?

Answer: Algebra is one of the fields of Math, which uses symbols and letters to represent numbers, points, and objects, as well as the relationship between them.

Q) Name some of the Greatest Mathematicians of all time.

1. Euclid

2. Sir Issac Newton

3. Srinivasa Ramanujan

4. Pierre De Fermat

5. Albert Einstein

6. Pythagoras

7. Aryabhatta

Q) Name some of the Greatest Indian Mathematicians and their Contribution.

1. Aryabhatta: He discovered the position of nine planets and stated that these planets revolve around the sun. He also stated the correct number of days in a year that is 365. Aryabhatta also invented 0.

2. Brahmagupta: The most significant contribution of Brahmagupta was the introduction of Zero (0) to the Mathematics which stood for "Nothing".

3. Srinivasa Ramanujan: His important contributions to the field include Hardy Ramanujan-Littlehood Circle Method in Number theory, Roger-Ramanujan's identities in Partition of Numbers, Work on Algebra of Inequalities, Elliptic Functions, Continued Fractions, Partial Sum and Products of Hypergeometric Series.

4. Prasanta Chandra Mahalanobis: He is the founder of the Indian Statistical Institute as well as National Sample Survey for which he gained international recognition.

5. Calyampudi Radhakrishna Rao: He is a well-known Statistician, Famous for his "theory of Estimation".

6. D.R Kaprekar: He discovered several Results in Number Theory, including a class of numbers and a constant named after him.

7. Harish Chandra: He is known for infinite-dimensional group representation theory.

8. Bhaskara: Bhaskara was the one who declared that any number divided by zero (0) is infinity and that the sum of any number and infinity is also infinity. He is also famous for his book "Siddhanta Siromani".

9. Satyendra Nath Bose: He is best known for his work, on Quantum Mechanics in early 1920, providing the foundation for Bose-Einstein Statics and the Theory of Bose-Einstein Condensate.

10. Narendra Karmarkar: He is known for his Karmarkar's Algorithm. He is listed as a Highly Cited Researcher by the Institute of Scientific Information.

Q) Who won the first Nobel Prize in Game Theory?

Answer: First Nobel Prize winner in Game Theory was Paul A Samuelson in 1970.

Q) Recently, who won the Nobel Prize in the field of Game Theory & When?

Answer: It was won by Roger B. Myerson in 2007.

Q) How many Nobel prize has been won in the field of Game theory?