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For The Mathematically Inclined

Anil Saigal
10/07/2004

PROBLEM # 1

How many cubic inches of dirt are there in a hole that is one foot deep, two feet wide, and three feet long?

FOR GROWNUPS

PROBLEM # 2
Find the maximum integer value of N for which N! ends in 2004 zeros.

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Please send your solutions to anil@lokvani.com.

Use Problem Solutions M-102104 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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SOLUTIONS TO PROBLEMS ON 10/07/04

FOR CHILDREN

PROBLEM # 1

How many minutes represent ten percent of one full week?

SOLUTION
1008.

FOR GROWNUPS

PROBLEM # 2

Let a # b be defined as the sum of all integers strictly between x and y, where x < y. Find the value of x when:
(80 # 110) + (x # (-81)) = -29.

SOLUTION
-111.

Congratulations to Shravan Gandhi, Sunil Kantaria, Madhu Misra, Rish Naidoo, Srinath Ramakrishnan, Wajida Syed, Bharath Venkataraman and Raj Vishwanathan, who were winners of the last set of puzzles.



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