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May 10, 2011
"360 Days to I.S.I. Success: A Step-by-Step Preparation Strategy"

That is a good start. And a demanding one. All good starts are demanded by birthright. They ask you to do more in the subsequent days. This article is mainly targeted at class 12 pass-outs who are targeting I.S.I. 2012 (or those 12th graders who are able to devote some serious time to mathematics). Target […]

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May 8, 2011
RMO 1992, question no. 4

ABCD is a quadrilateral and P, and Q are mid-points of CD, and AB respectively. Let AP, DQ meet at X, and BP, CQ meet at Y . Prove that area of ADX + area of BCY = area of quadrilateral PXQY  The number of ways in which three non-negative integers \( n_1, n_2, n_3 […]

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May 7, 2011
Cracking the Code: A Deep Dive into the Chinese Remainder Theorem

I want to discuss the 'idea behind the famous Chinese Remainder Theorem. Let us leave the jargon and start our exploration by a problem. Find a number that leaves the remainder 1, when divided by 5, 7 and 13. Clearly, such a number can be found by trial. A stupid method is to check out […]

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May 5, 2011
Unlocking Excellence: Mathematics Courses and Entrance Tests at ISI, CMI, and IMA

Indian Statistical Institute (I.S.I.), Chennai Mathematical Institute (C.M.I.) and Institute of Mathematics and Application (I.M.A.) can be regarded as three Indian institutions that provided world class mathematics course at undergraduate level. The B.Stat Course at I.S.I. is also world famous. The courses at C.M.I. and I.M.A. have computer science as second major. Each of these […]

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