Showing posts with label IIM C. Show all posts
Showing posts with label IIM C. Show all posts

Wednesday, October 5, 2011

Problem of the day 5th Oct 2011


The set S contains nine numbers. The mean of the numbers in S is 202. The mean of the five smallest of the numbers in S is 100. The mean of the five largest numbers in S is 300. What is the median of the numbers in S?

Wednesday, September 28, 2011

Problem of the Day 28 Sept 2011


A good approximation of π is 3.14. Find the least positive integer d such that if the area of a circle with
diameter d is calculated using the approximation 3.14, the error will exceed 1.


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Tuesday, September 27, 2011

Problem of the Day 27 Sept 2011


The diagram below shows some small squares each with area 3 enclosed inside a larger square. Squares that touch each other do so with the corner of one square coinciding with the midpoint of a side of the other square. Find integer n such that the area of the shaded region inside the larger square but outside the smaller squares is √n



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Monday, September 26, 2011

Problem of the day 26 Sept 2011


Let a1= 2 and an+1 = 2an + 1. Find the least value of an which is not prime.
(a) 47                  (b) 4                    (c) 5                 (d) 95





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