Preparations for IPM, MTSE, Olympiad, MAT, Scholarship,CBSE, ICSE & Board Math Exam

This blog makes available plenty of questions for practice, for the Mathematics competitive exams. We also try to bring to students interesting ways of approaching the questions. If you need any assistance in questions from IPM, MTSE, SCHOLARSHIP, OLYMPIAD, CBSE , ICSE or Board test papers, you may write to us.

Showing posts with label inequality. Show all posts
Showing posts with label inequality. Show all posts
Monday, December 29, 2014

inequality, JMO

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How many positive integer values can x take that satisfy the inequality  (x - 8) (x - 10) (x - 12).......(x - 50) < 0
Wednesday, November 6, 2013

inequality

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Solve the inequality: (|x|-2) 2 >= x+4
Tuesday, October 29, 2013

inequality

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Solve the inequality: x 2 (3 – x)(x – 2) 2 (x + 4) 3 > 0
Monday, September 23, 2013

inequality

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Show that: a 2 + b 2 + c 2 ≥ bc + ca + ab Show that:  a 3 + b 3 ≥ a 2 b + ab 2

inequality

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Show that a 4 + b 4 > a 3 b + ab 3 for a ≠ b

inequality,

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For a given sum of two numbers, when will the product be maximum?

inequality

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Show that the sum of a real positive quantity and reciprocal is never less than 2.

inequality

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Prove that: m 2 + 1/m 2 > m + 1/m

inequality,

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Prove that: a/b 2 + b/a 2 >   1/a + 1/b

Inequality

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Prove that: (a+ b). (b + c). (c + a) ≥ 8abc Prove that: (ab + cd).(ac + cd) ≥ 4abcd
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IPM-MTSE-OLYMPIAD- SCHOLARSHIP-ICSE-CBSE-BOARD
Mumbai, Maharastra, India
The idea of writing a blog on math came about while preparing my daughter Nanu for the competitive exams. I hope these notes and questions will come handy to both students and teachers. This is an open forum. If you wish to contribute, you are welcome.
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