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For The Mathematically Inclined

Anil Saigal
07/20/2005

FOR CHILDREN

PROBLEM # 1
How many whole numbers between 0 and 180 are divisible by both 4 and 6?

FOR GROWNUPS

PROBLEM # 2
Tap 1 by itself can fill a sink in 3 hours. Tap 2 by itself can fill the same sink
in 6 hours. How long will it take to fill the sink if both the taps are open together?

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Please send your solutions to anil@lokvani.com.

Use Problem Solutions M-072805 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 07/14/05

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.

SOLUTION
300'  x 100'.

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.

SOLUTION
105/512.

Congratulations to Sandeep Bansal, Shail Mehta, Mahesh Murali, Madhavi Muralidharan, Prathisha Nalamati, Sirisha Nalamati, Sarthak Pani, Bipin Parekh, Ameek Ponda, Arun Saigal and Neha Sharma, who were winners of the last set of puzzles.



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