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For The Mathematically Inclined

Anil Saigal
12/17/2014

Problem #1
An egg salesman was asked how many eggs he had sold that day. He replied, "My first customer said, 'I'll buy half your eggs and half an egg more.' My second and third said the same thing. When I had filled all three orders I was sold out and I had not had to break a single egg all day."


Problem #2
A brick balances evenly with three quarters of a pound and three quarters of a brick. What does the whole brick weigh?
 


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

Use Problem Solutions M-121814 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 from 12/04/2014

Problem #1
Which is the smallest number which, when divided by 2, 3, 4, 5 and 6 will give 1, 2, 3, 4 and 5 as remainders, respectively?

Solution:
59.

Problem #2
Find all five-digit numbers whose digits are  are reversed when multiplied by 4.

Solution:
21978.


Congratulations to Kishore Balsara, Jay Banerjee and Saba Lateef, who were winners of the last set of puzzles. 



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