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For The Mathematically Inclined

Anil Saigal
04/26/2005

FOR CHILDREN

PROBLEM # 1
How may different ways can five people be seated in seven chairs?

FOR GROWNUPS

PROBLEM # 2
What is the probability that when you roll two fair dice, the product of the dice is divisible by four? Please note that rolling a two on the first die and a one on the second die is different than rolling a one on the first die and a two on the second die.

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Please send your solutions to anil@lokvani.com.

Use Problem Solutions M-050505 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 04/21/05

FOR CHILDREN

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

SOLUTION
8 (Product of two digits).  

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?

SOLUTION
73/37.

Congratulations to Sandeep Bansal, Anuraag Bharadwaj, Ashwin Bharadwaj, Kosha Divatia, Chandran Elumalai, Anirudh Iyengar, Ninni Jacob, Nidhee Krishnan, Rahul Modi, Mahesh Murali, Bharat Parikh, Arun Saigal, Neha Sharma and Sneha Subramanian, who were winners of the last set of puzzles.



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