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For The Mathematically Inclined

Anil Saigal
06/19/2005

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?

FOR GROWNUPS

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

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Please send your solutions to anil@lokvani.com.

Use Problem Solutions M-063005 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 06/16/05

FOR CHILDREN

PROBLEM # 1
In the number 98765.43, the place occupied by the digit nine is how many times greater than the place occupied by the digit 3?

SOLUTION
1,000,000.

FOR GROWNUPS

PROBLEM # 2
A clock hangs on the wall of a railway station. The dimensions of the wall are 71 feet 9 inches long and 10 feet 4 inches high. While waiting for a train, you notice that the hands of the clock were pointing in opposite directions and were parallel to one of the diagonals of the wall. What was the exact time?

SOLUTION
2 hr : 43 min : 38 sec.  

Congratulations to Amitabh Chandra, Neil Chandra, Shashank Mallick, Amol Mehta, Venki Nagesha, Sarthak Pani, Bipin Parekh, Ameek Ponda and Raj Vishwanathan, who were winners of the last set of puzzles.



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