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For The Mathematically Inclined


Anil Saigal 02/05/2006
FOR CHILDREN
PROBLEM # 1
Ram is 20% older than Shyam, and Shyam is 40% younger than Bhim. The sum of their ages is 23.2 years. How old will Ram be on his next birthday? FOR GROWNUPS
PROBLEM # 2 The expression (x+y+z)^2006 + (xyz)^2006 is simplified by expanding it and combining like terms. How many terms are in the simplified expression?

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If you need clarification on any problem, please contact anil@lokvani.com.
 SOLUTIONS TO PROBLEMS ON 01/26/06
FOR CHILDREN
PROBLEM # 1 Ann purchased a house for $ 160,312. She wants to sell it for a profit of exactly 12%. However, she does not want to sell it herself. She wants a Real Estate Agent to sell it for her. The Agent must make a commission of exactly 5.5% (in addition to Ann's 12% profit). How much must the Agent sell the house for? Give your answer to the nearest dollar. SOLUTION $189,999.
FOR GROWNUPS
PROBLEM # 2 What is the limit of the function f(x) = (4  x^2) / (3  sqrt(x^2 + 5)) as x tends to 2. SOLUTION 6.
Congratulations to Nando Bansal, Sandeep Bansal, Aseem Chandawarkar, Shailesh Goregaokar, Nikita Jain, Pankaj Jain, Madhavi Muralidharan, Pooja Nagda, Sarthak Pani, Bipin Parekh, Ameek Ponda, Suryateja Rao, Ramya Tamisetty and Niharika Yerneni, who were winners of the last set of puzzles.

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