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For The Mathematically Inclined

Anil Saigal
04/14/2005

FOR CHILDREN

PROBLEM # 1
Determine the next number in 77, 49, 36, 18, ____ and provide an explanation of your answer.

FOR GROWNUPS

PROBLEM # 2
If 73 hens lay 73 dozen eggs in 73 days and if 37 hens eat 37 kilograms of wheat in 37 days, what weight of wheat corresponds to 1 dozen eggs?

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Please send your solutions to anil@lokvani.com.

Use Problem Solutions M-042105 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 04/07/05

FOR CHILDREN

PROBLEM # 1
Of the 200 seniors in a high school, exactly 40 are in the band, 60 are in the orchestra and 10 are in both. How many students are neither in the band nor in the orchestra?

SOLUTION
110.  

FOR GROWNUPS

PROBLEM # 2
For how may positive integers m<=100 is (m-5)(m-45) positive?

SOLUTION
59 (1<=m<=4, 46<=m<=100).

Congratulations to Sandeep Bansal, Amar Gupta, Kirti Khandelwal, Mahesh Murali, Pooja Mutalik, Sarthak Pani, Arun Saigal, Mukund Seshadri, Neha Sharma, Tahera and Ramya Tammisetti, who were winners of the last set of puzzles.



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