## 27 Dec TIFR GS 2014 Mathematics Question Paper

The Tata Institute of Fundamental Research organised its nationwide admission test for Graduate Studies 2014 in December 2013. The question paper for Mathematics can be downloaded here. [ad#ad-2]...

The Tata Institute of Fundamental Research organised its nationwide admission test for Graduate Studies 2014 in December 2013. The question paper for Mathematics can be downloaded here. [ad#ad-2]...

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The joint CSIR UGC National Eligibility Test for Junior Research Fellowship and Lecturer Ship was recently held nationwide on December 22nd, 2013. The question paper for Physical Sciences can be downloaded here. [ad#ad-2]...

The joint CSIR UGC National Eligibility Test for Junior Research Fellowship and Lecturer Ship was recently held nationwide on December 22nd, 2013. The question paper for Mathematical Sciences can be downloaded here. [ad#ad-2]...

समय: तीन घंटा दिसम्बर 01, 2013 निर्देश: · किसी भी तरह कैलकुलेतर तथा चांदा (protractor) के उपयीग की अनुमति नहीं है। · पैमाना (ruler) तथा परकार (compass) उपयीग किये जा सकते हैं। · सभी प्रश्नों का उत्तर दीजिये। · सभी प्रश्नों के अंक समान हैं। अधिकतम अंक: 102 · प्रत्येक प्रश्न के...

Time: 3 hours December 01, 2013 Instructions: · Calculators (in any form) and protractors are not allowed. · Rulers and compasses are allowed. · Answer all the questions. · All questions carry equal marks. Maximum marks: 102. · Answer to each question should start on a new page. Clearly indicate the question...

[caption id="attachment_7349" align="alignleft" width="320"] Image Source : Shutterstock[/caption] The 2012 exam question papers of Mathematical Sciences, Assamese, English, Economics, Education, History, Philosophy, Political Science, Geography, Manipuri, Bodo, Bengali, Hindi, Anthropology, Sanskrit, Sociology, Commerce, Chemical Science, Life Science and Physical Science for SET conducted by SLET Commission, Assam...

Theorem: In a Right-Angled Triangle with sides in A.P. Series, the distance between the point of intersection of median & altitude at the base is 1/10th the sum of other two sides. This Theorem applies in Two Conditions: The Triangle must be Right-Angled. Its Sides are in A.P....

TechXetra 2013, the annual technical and cultural festival of Tezpur University organised a math based competition called, Mathelon. The questions were set by Sazid Zamal Haque, a contributor of Gonit Sora. The questions can be downloaded here. [ad#ad-2]...

01 September 2013 (Class XI and XII) Marks: 10 X 10 = 100 Time: 1.30 pm to 4.30 pm Answer the following ten questions 1. Prove that $$4(x_1^4+ x_2^4+dots + x_{14}^4)=7(x_1^3+ x_2^3+dots + x_{14}^3)$$ has no solution in positive integers. (Hint: Suppose on the contrary $$sum_{k=1}^{14}(x_k^4-frac{7}{4}x_k^3)=0.$$ Also use $$sum (x_k-1)^4.$$) 2. Find...

01 September 2013 (Class IX and X) Marks: 10 X 10 = 100 Time: 1.30 pm to 4.30 pm Answer the following ten questions 1. Show that there does not exist a function $$f:Nrightarrow N$$ which satisfy (a) $$f(2)=3,$$ (b) $$f(mn)=f(m)f(n)$$ for all m,n in N; (c) $$f(m)<f(n)$$ whenever $$m<n.$$ (Hint: Suppose the contrary....