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For The Mathematically Inclined

Anil Saigal

Problem 1

 How can you add eight 8's to get the number 1,000?

Problem 2
What digit is the most frequent between the numbers 1 and 1,000 (inclusive)? 


Please send your solutions to mr.asaigal@gmail.com. 

Use Problem Solutions M-100815 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. 


Problem #1
A shopkeeper wants to be able to dispense sugar in whole pounds ranging from one pound up to 40 pounds. He has a standard, equal-arm balance weigh scale. Being of an extremely economical outlook, he wants to use the least possible number of weights to enable him to weigh any number of pounds between 1 and 40. How many weights does he need and what are they?

Problem #2
A set of encyclopedias consists of volumes that have 1/8-inch covers and one inch of pages. The set is arranged in order on a shelf from left to right. If a bookworm starts at the first page of Volume I and eats its way through to the last page of Volume II, how far does it travel?

Congratulations to RK Sambangi, who was the winner of last set of puzzles.

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