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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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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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