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For The Mathematically Inclined

Anil Saigal
11/19/2007

FOR CHILDREN

PROBLEM # 1
Determine the exact value of 1/(2+1/(3+1/(4+1/5))) as a fraction, that is, as a ratio of two integers.

FOR GROWNUPS 

PROBLEM # 2

Ram has ten apples, and wants to give htem to (up to) three friends. How many different ways can he do so? (Assume that the apples are all identical, but his friends are not; it is possible, for example, for him to give one friend all ten apples.)

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Please send your solutions to anil@lokvani.com.

Use Problem Solutions M-112907 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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Problem Solutions 11/15/07

PROBLEM # 1
My age three years hence multiplied by 3, and from that subtract three times my age three years ago will give you my exact age. What is my age?

Solution:
18 years.
 

FOR GROWNUPS 

PROBLEM # 2
Let x be a real number. Which is greater sin(cos(x)) or cos(sin(x))?

Solution: 
cos(sin(x)).


Congratulations to Vijay Aivalli, Ryan Bhattacharyya, Shailesh Goregaokar, Ranganath Nayak, Amisha Sisodiya and Niharika Yemeni, who was the winner of the last set of puzzles.




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