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For The Mathematically Inclined

Anil Saigal
02/10/2016

Problem 1

Can you find four consecutive prime numbers that add up to 220 ?

Problem 2
Find three positive whole numbers that result in same number when  added together or  multiplied together.
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Please send your solutions anil@lokvani.com. 

Use Problem Solutions M-021116 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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Problems from 1/28/16
Problem 1
On a sunny morning, a greengrocer places 200 kilograms of cucumbers in cases in front of his shop. At that moment, the cucumbers are 99% water. In the afternoon, it turns out that it is the hottest day of the year, and as a result, the cucumbers dry out a little bit. At the end of the day, the greengrocer has not sold a single cucumber, and the cucumbers are only 98% water.How many kilograms of cucumbers has the greengrocer left at the end of the day?


Problem 2
You walk upwards on an escalator, with a speed of 1 step per second. After 50 steps, you are at the end. You turn around and run downwards with a speed of 5 steps per second. After 125 steps, you are back at the beginning of the escalator. How many steps do you need if the escalator stands still.


Congratulations to Amit Lele, who was the winner of last set of puzzles. 



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