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For The Mathematically Inclined

Anil Saigal
09/04/2007

FOR CHILDREN

PROBLEM # 1
A college student drove his compact car 120 miles home for the weekend and averaged 30 miles per gallon. On the return trip the student drove his parents' SUV and averaged 20 miles per gallon. What was the average gas mileage in miles per gallon for the round trip.


FOR GROWNUPS 

PROBLEM # 2
A set of 25 square blocks is arranged into a 5 x 5 square. how many different combinations of 3 blocks can be selected from that set so that no two are in the same row or column?

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Please send your solutions to anil@lokvani.com.

Use Problem Solutions M-090607 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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PROBLEM # 1
A farmer has some land and he uses three straight fencings of length 1, 2, 3 meters to make a fenced region. What is the area of part inside the fence?(The ends of fence should touch each other and form a triangle on ground).

Solution: 0
 

FOR GROWNUPS 

PROBLEM # 2

A farmer has  some land and four straight pieces of  fencing (they cannot be bent) of length 1,2,3,4 meters. What is the maximum area he can enclose by connecting these fences.  Assume the land is very large and flat.(The ends of fence should touch each other and  form a quadrilateral on ground)

Solution: 2 x sqrt(6)



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