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For The Mathematically Inclined

Anil Saigal
07/04/2005

FOR CHILDREN

PROBLEM # 1
A rectangular cafeteria has a perimeter of 800 feet and an area of 30,000 square feet. What is the length and width of the cafeteria.

FOR GROWNUPS

PROBLEM # 2
A fair coin is tosses ten times. What is the probability of getting exactly six heads. Express the answer as a simplified fraction.

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Please send your solutions to anil@lokvani.com.

Use Problem Solutions M-071405 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 06/30/05

FOR CHILDREN

PROBLEM # 1
Suppose you purchased a $60 item at 40% off and a $40 item at 20% off. What percent discount did you get on the total purchase?

SOLUTION
32%.

FOR GROWNUPS

PROBLEM # 2
If 2^(x+y) = 4^(w+y) = 8^(x-w-2) = 16^(x+y-w-1) evaluate wxy.

SOLUTION
 -224.

Congratulations to Kiran Adhya, Ruby Dhillon, Shashank Mallick, Tejas Manjunath, Amol Mehta, Mahesh Murali, Kavitha Muralidharan, Madhavi Muralidharan, Sarthak Pani, Bipin Parekh, Ameek Ponda, Laksh Puri and Rohit Rao, who were winners of the last set of puzzles.



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