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For The Mathematically Inclined

Anil Saigal
09/18/2006

FOR CHILDREN

PROBLEM # 1
One chicken lays two eggs in three days. How many eggs do three chickens lay in seven days?

FOR GROWNUPS

PROBLEM # 2
You walk upwards on an escalator, with a speed of 1 step per second. After 50 steps you are at the end. You turn around and run downwards with a speed of 5 steps per second. After 125 steps you are back at the beginning of the escalator. How many steps do you need if the escalator stands still?

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Please send your solutions to anil@lokvani.com.

Use Problem Solutions M-092106 as the subject line. Please include your full name in the text of the main message. Everyone with the right answer will be acknowledged in the next issue of Lokvani.

Please do not post your solution in Post Comments. No credit will be given for solutions not sent to anil@lokvani.com.

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

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SOLUTIONS TO PROBLEMS ON 09/07/06

FOR CHILDREN

PROBLEM # 1
Consider the numbers from 1-500 inclusive.  What is the difference between the sum of all the even numbers and the sum of all of the odd numbers?

SOLUTION
250.

FOR GROWNUPS

PROBLEM # 2
A and B are whole numbers and neither of which are divisible by 10. If the product of A and B equals 20000, find the absolute value of the difference of A and B.

SOLUTION
593.

Congratulations to Sarwan Aggarwal, Sandeep Bansal, Janani Baskaran, Pushpa Baskaran, Anindya Basu, Ami Bhatt, Sitaram Chandawarkar, Durga Devarakonda, Chandran Elumalai, Dattatraya Joshi, Mukkai Krishnamoorthy, Samir Mehta, Nirvik Nandy, Abhishek Narendra, Sarthak Pani and Bharath Venkatraman, who were winners of the last set of puzzles.



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