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For The Mathematically Inclined

Anil Saigal
01/07/2009

FOR STUDENTS

PROBLEM # 1

In a rectangle, the ratio of the diagonal to the perimeter is 5 to 14 while the area is 432. Calculate the length of the diagonal.

FOR GROWNUPS

If 6p = 3, calculate the value of:

(logp 36p) (log3 p).

PROBLEM #2


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If you need clarification on any problem, please contact anil@lokvani.com.

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Problem Solutions 12/25/08

PROBLEM # 1
Find a number ABCDEFGHIJ such that A is the count of how many 0's are in the number, B is the number of 1's,  C is the number of 2's, and so on.

Solution: 
6210001000
 
PROBLEM # 2
What is the smallest integer greater than 0 that can be written entirely with zeros and ones and is evenly divisible by 225?

Solution:
11111111100.

Congratulations to Somnath Chattopadhyay, Shailesh Goregaokar, Sahil Suresh and Bharath Venkataraman, who were the winner of the last set of puzzles.



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