For The Mathematically Inclined
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Anil Saigal 01/19/2004
FOR CHILDREN
PROBLEM # 1
Animals: What will come next? Explain how you knew.
dog, bird, tiger, kitten, ____________. PROBLEM # 2
List the 11th prime number. FOR GROWNUPS
PROBLEM # 3
Using exactly four fours and any other mathematical symbols, find an expression equivalent to 25. You
may not use any additional numbers in your expression. ----------------------------------------------------------------------------------------------------------------------
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solutions not sent to anil@lokvani.com.
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--------------------------------------------------------------------------------------------------------------------- SOLUTIONS TO PROBLEMS ON 01/15/04
PROBLEM # 1
Tommy has a 1.69 ounce bag of M&Ms. The bag contains 56 M&Ms. He decides to
share his candy by giving Lucy two-thirds of three-fourths of his M&Ms. Lucy decides
to share her M&Ms with Melissa by giving Melissa two-thirds of three-fourths of her
M&Ms. If half of Melissa's M&Ms are red, how many red M&Ms does she have?
SOLUTION
7. PROBLEM # 2
DOGSANDCATSDOGSANDCATSDOGSANDCATS…..
If the above pattern continues, what will be the 101st letter in the pattern?
SOLUTION
O. PROBLEM # 3
How many people must be at a party before you have even odds or better (probability that birthday of two people is on same day >= 0.5)
of two having the same bithday (not necessarily the same year, of course)?
SOLUTION
1- 364/365*363/365...(365-N)/365 >0.5
N = 23 WINNERS
Congratulations to Abhijay Karandikar, Sirisha Nalamati, Keshav Narsu, Deepa Santaumayor and Mukund Seshadri who were winners of the last set of puzzles.
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