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For The Mathematically Inclined


Anil Saigal 05/06/2005
FOR CHILDREN
PROBLEM # 1 If the consecutive odd counting numbers are arranged as shown, what is the middle number in the 23rd row. Row 1: 1 Row 2: 3 5 Row 3: 7 9 11 Row 4: 13 15 17 19 Row 5: 21 23 25 27 29 FOR GROWNUPS In Figure 1, if segment FD is parallel to segment AB, determine the length of segnment EF. PROBLEM # 2 
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 SOLUTIONS TO PROBLEMS ON 05/05/05
FOR CHILDREN
PROBLEM # 1 How may different ways can five people be seated in seven chairs? SOLUTION 7P5 = 2520.
FOR GROWNUPS
PROBLEM # 2 What
is the probability that when you roll two fair dice, the product of the
dice is divisible by four? Please note that rolling a two on the first
die and a one on the second die is different than rolling a one on the
first die and a two on the second die. SOLUTION 15/36 = 5/12. Congratulations to Jaya Devulapalli, Amar Gupta, Mahesh Murali, Pooja Mutalik, Pooja Nagda, Sarthak Pani, Preeti Rangaraj and Mukund Seshadri, who were winners of the last set of puzzles.

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Figure 1
