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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
Please send your solutions to anil@lokvani.com.
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Problem Solutions 12/25/08PROBLEM # 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:
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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