CURIOUSITY QUIZ: SRINIVASA RAMANUJAN

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Test Your knowledge on 'Life and Works of Srinivasa Ramanujan' prepared on the context of celebration of National Mathematics Day . Attempt all the questions by clicking on the right option. Submit the completed Form by clicking the 'Submit' button at the end of the Form. Get your Score and the correct Answer by clicking the 'View score' button. Good Luck!

Overview:

Srinivasa Ramanujan (22 December 1887 – 26 April 1920) was an Indian mathematican. Though he had almost no formal training in Pure Mathematics, he made substantial contributions to mathematical analysis , Number Theory, Infinite Series, and Continued Fractions, including solutions to mathematical problems then considered unsolvable.

Ramanujan initially developed his own mathematical research in isolation. Seeking mathematicians who could better understand his work, in 1913 he began a postal correspondence with the English mathematician G.H. Hardy at the University of Cambridge, England. Recognising Ramanujan's work as extraordinary, Hardy arranged for him to travel to Cambridge. In his notes, Hardy commented that Ramanujan had produced groundbreaking new theorems , including some that "defeated me completely; I had never seen anything in the least like them before", and some recently proven but highly advanced results.

During his short life, Ramanujan independently compiled nearly 3,900 results (mostly identities and equations). Many were completely novel; his original and highly unconventional results, such as the Ramanujan's Prime, the Ramanujan's Theta Function , Partition formula formulae and Mock Theta Functions , have opened entire new areas of work and inspired a vast amount of further research. Of his thousands of results, all but a dozen or two have now been proven correct. He became one of the youngest Fellow of the Royal Society and only the second Indian member, and the first Indian to be elected a Fellow of Trinity College, Cambridge . Of his original letters, Hardy stated that a single look was enough to show they could have been written only by a mathematician of the highest calibre, comparing Ramanujan to mathematical geniuses such as Euler and Jacobi.

In 1919, ill health—now believed to have been hepatic amoebiasis (a complication from episodes of dysentery many years previously)—compelled Ramanujan's return to India, where he died in 1920 at the age of 32. His last letters to Hardy, written in January 1920, show that he was still continuing to produce new mathematical ideas and theorems. His "Lost Notebook", containing discoveries from the last year of his life, caused great excitement among mathematicians when it was rediscovered in 1976.

( Source : Wikipedia)

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Which branch of Mathematics was most favourite to Ramanujan so much so that he devoted his entire life to its study ?

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Set Theory

Algebra

Number Theory

Trigonometry

Clear selection

When was Ramanujan born? What was the name of the small town he was born ? What was the name of the river on whose bank the town was situated ?

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24 December 1887, Kumbakonam, River Cauvery

22 December 1887, Kumbakonam, River Cauvery

22 December 1886, Kumbakonam, River Cauvery

22 December 1887, Kumbakonam, River Godavari

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Ramanujan finished reading a very famous book named 'A Textbook on Plane Trigonometry' when he was just 12 years of age. (The book is even used today as a standard source of reference for students in India for preparing for entrance exams in engineering and technology). Who was the author of the book ?

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G.H. Hardy

R.D. Sharma

S.L.Loney

Ian Stuart

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What was the name of the book that really transformed Ramanujan's life so that he adopted the style throughout his career? The book contains thousands of mathematical results without any proof or with very little hint for solution .

1 point

'An Illustrated Theory of Numbers' by Marty Weissman

'Elementary Number Theory' by David M. Burton

'A Textbook of Trigonometry' by S.L. Loney

'A Synopsis of Elementary Results in Pure and Applied Mathematics' written by G. S. Carr

'An Introduction to the Theory of Numbers' by G.H. Hardy

Clear selection

He was the Chairman of the Madras Port Trust and himself a mathematics lover who arranged a job for Ramanujan as a Clerk in his office ?

1 point

Dr. John M Brown

Sir Francis Spring

G.H. Hardy

Alexis St. Martin

Clear selection

A famous British mathematician whom Ramanujan wrote a letter along with some of his mathematical results :

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Dr. John M Brown

Alexis St. Martin

Dr. David Adams

G.H. Hardy

Clear selection

On reaching England, Ramanujan pursued higher studies in Mathematics where he was elected as a Fellow of the College as the first Indian . Which college he attended to ?

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Kings College of Oxford University

Trinity College of Oxford University

Trinity College of Cambridge University

University College of London of London University

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He was the Collector of Nellore district and the Secretary of Indian Mathematical Society who was highly impressed by Ramanujan's work so that he arranged financial support for him for his departure to England:

1 point

E. W. Middlemas

V. Ramaswamy Aiyer

R. Ramachandra Rao

Sir Francis Spring

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Who was the colleague of Hardy in Cambridge University who also took great interest in Ramanujan's work ?

1 point

M.J.M. Hill

H.F.Baker

J.E. Littlewood

E.W.Hobson

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Ramanujan worked on these kinds of fractions. These are expressions of a number as the sum of an integer and a quotient, the denominator of which is the sum of an integer and a quotient, and so on. This kind of fractions are commonly called :

1 point

Mixed Fraction

Improper Fraction

Continued Fractions

Equivalent Fraction

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A very famous postulate conjectured by a French mathematician that says for any number 'n' greater than 3, there exists at least one Prime Number between the number 'n' and the twice the number '2n' which remains valid for all integers up to n= 3000000. Later , a Russian mathematician Chebyshev provided a complete proof to this postulate. Ramanujan also presented a new proof to this postulate commonly known as Ramanujan's Prime. Who was the famous French mathematician who originally put forward the Postulate?

1 point

Pierre de Fermat

Joseph Bertrand

Joseph Fourier

Augustin-Louis Cauchy

Clear selection

Ramanujan recorded the bulk of his results in loose sheets of paper. These results were mostly written up without any derivations. This complilation later becomes very much famous and came to be known as :

1 point

Ramanujan's Manuscript

Ramanujan's Diary

Ramanujan's Notebook

Ramanujan's Collection

Clear selection

What is Hardy-Ramanujan's Magic Number? It is often said that Hardy got this idea from a taxi cab that he hired. How is this number mathematically important ?

1 point

1729, It can be expressed as the sum of two squares of positive integers in two different ways.

CE 1729; It can be expressed as the sum of two cubes of positive integers in two different ways.

1729; It can be expressed as the sum of two cubes of positive integers in two different ways.

1729; It can be expressed as the sum of three cubes of positive integers in three different ways.

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Ramanujan also worked on Partition function P(n) formula . A Partition of a non-negative integer 'n' is a way of writing 'n' as a sum of positive integers. As for example, 4 can be written as 4, 3+ 1, 2+2, 2+ 1+1, 1+1+1+1+1 . Hence , P(4) =?

1 point

Clear selection

Which Indian institute published the first and second editions of Ramanujan's lost Notebook ?

1 point

Indian Statistical Institute, Kolkata

National Physical Laboratory, Ahmedabad

Tata Institute of Fundamental Research, Mumbai

Chennai Mathematical Institute, Chennai

Clear selection

Ramanujan was known for finding out an improved value of Pi (π) through a function now called Ramanujan-Sato Pi function. How did he express the value of Pi ?

1 point

As a Partition Function formula

As the sum of an Infinite series

As the sum of Continued Fraction

As expression of an elliptical function

Clear selection

Ramanujan was one of the youngest mathematician to have been elected as the Fellow of the Royal Society of London. What was his age when he secured the Fellowship ?

1 point

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Ramanujan suferred from Tuberculosis in England. He subsequently returned to India and died at a very early age. At what age he died ?

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