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E 23. Problem from an insurance exam



Victor Gutenmacher sent me this great puzzle. It appeared on a job interview in an insurance company.

In each equation below, insert one or more mathematical symbols to make the equation correct. You may use the symbols +, -, *, / sqrt, (, ), and the decimal point (e.g. you may insert a decimal point before 1 to get .1.)
 
1 1 1 = 3
2 2 2 = 3
3 3 3 = 3
4 4 4 = 3
5 5 5 = 3
6 6 6 = 3
7 7 7 = 3
8 8 8 = 3
9 9 9 = 3

For example, 1 + 1 + 1 = 3 and sqrt9 – sqrt9 + sqrt9 = 3.

Victor's friend, Benjy, came up with a solution which, amazingly, is given by one formula, f(n) where n = 1, 2, … , 9. See if you can find it.

1 comment:

Rahul said...

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