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For The Mathematically Inclined

Anil Saigal
01/31/2004

FOR CHILDREN

PROBLEM # 1

What are the next three number in the sequence
-1, 0, 1, 0, 1, 2, 3, 6, _, _, _.

PROBLEM # 2

A man was born on February 29, 1928. He dies January 29, 2004. How many actual birthdays (February 29) does he have (not counting the day he was born in 1928 as a birthday)?

FOR GROWNUPS

PROBLEM # 3
Observe the table of values. A new operational symbol # has been created. Based on the values of A, B and A#B in the table, determine the value of 2/3 # 1/5.

A B A#B
5 2 21
19 9 280
41 21 1240
55 51 424
2/3 1/5 ?
>

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Please send your solutions to anil@lokvani.com.

Use "Problem Solutions M-021204" as the subject line. Please include your full name in the text of the main message. The first one to submit the right answer will be profiled in the next issue of Lokvani.

Please do not post your solution in "Post Comments". No credit will be give for solutions not sent to anil@lokvani.com.

If you need clarification on any problem, please contact anil@lokvani.com.

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SOLUTIONS TO PROBLEMS ON 01/29/04

PROBLEM # 1

Animals: What will come next? Explain how you knew.
dog, bird, tiger, kitten, ____________.

SOLUTION

giraffe, a seven letter animal.

PROBLEM # 2

List the 11th prime number.

SOLUTION

31.

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.

SOLUTION

One solution: (4 + 4/4)^(sqrt 4)

Congratulations to H. Bhatanagar, S. Dasari, R. Dhillon, K. Divatia, S. Divatia, B. Goyal, A. Gupta, M. Mathai, P. Mutalik, S. Nalamati, D. Santaumayor, B. Seth and N. Sharma who were winners of the last set of puzzles.



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