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 scholarship. Show all posts
Showing posts with label scholarship. Show all posts
Wednesday, August 21, 2013

9- indicies

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Prove that X = 4 n+1 .9 n+2 + 6 2n+1 .9 - 2 2n .9 n+1 is divisible by 369. Given that n ε N.

7-indicies

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Find the value of x for which a= 2 100 + (2 50 ) 2 + (2 25 ) 4 + (2 5 ) 20 and b = 2 99 + (2 33 ) 3 + (2 11 ) 9 + (2 3 ) 33 ...
Tuesday, August 20, 2013

numbers

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Find the natural number for which 2010 n –n 2010 = 2009

number and divisibility

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Prove that 2 0 + 2 1 + 2 2 + 2 3 + …. 2 98 is divisible by 7

Numbers

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If x and y are digits such that 23xy + xy23 + xyxy = 11413, then find the value of x + y.

Ratio and proportion

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Show that: If,                  ax+cy+bz=0 ---- (1)                  cx+by+az=0 ---- (2)                  bx+ay+cz=0 ---- (3) T...
Monday, August 12, 2013

Mean

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The average of 13 observations is 23. The average of the first 7 observation is 27 and the average of the last 7 observation is 24. Wh...
Sunday, August 4, 2013

percentage

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The inflation in the economy is @ 9% per annum. A company decides to revise the salary of all its employees by 5%. By how much should ...

percentage

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A farmer stores 10000 kg of potatoes in an underground cellar. At the prevailing buying rates in the whole sale market he is unable ...
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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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