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Test # 6


1.
An amount of Rs. 735 was divided between A, B and C. If each of them had received Rs. 25 less, their shares would have been in the ratio of 1 : 3 : 2. The money received by C was :

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Quantitative Aptitude
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  • Famous Indian Scientists

    Harish Chandra

    Harish Chandra was born on 11 October 1923 in Kanpur, Uttar Pradesh He attended school in Kanpur and then the University of Allahabad, where he studied theoretical physics After obtaining his masters degree in 1943 he joined the Indian Institute of Science, Bangalore to work further with Homi Bhabha on theoretical physics Dr Bhabha arranged for Harish Chandra to go to Cambridge to work for his PhD under the legendary Paul Dirac In 1947 Dirac visited Princeton for one year and Harish Chandra worked as his assistant during this time In Princeton he met and was greatly influenced by the great French mathematician Chevalley, giving up physics altogether and taking up mathematics Harish moved to Columbia University after his year at Princeton In 1963, Harish Chandra was invited to become a permanent member of the Institute of Advanced Study at Princeton He was appointed IBMvon Neumann Professor in 1968
    Harish Chandra received many awards in his career He was a Fellow of both the Indian Academy of Sciences and the Indian National Science Academy In 1974, he received the Ramanujan Medal from Indian National Science Academy He was elected a Fellow of the Royal Society and also won the Cole prize from the American Mathematical Society in 1954 for his papers on representations of semisimple Lie algebras and groups Harish Chandra is quoted as saying that he believed that his lack of background in mathematics was in a way responsible for the novelty of his work:I have often pondered over the roles of knowledge or experience, on the one hand, and imagination or intuition, on the other, in the process of discovery I believe that there is a certain fundamental conflict between the two, and knowledge, by advocating caution, tends to inhibit the flight of imagination Therefore, a certain naivete, unburdened by conventional wisdom, can sometimes be a positive asset His profound contributions to the representation theory of Lie groups, harmonic analysis, and related areas left researchers a rich legacy that continues today


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