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plzz solve with explaination
by samradh sharma - Friday, 6 June 2014, 11:21 AM
  17 numbers --- 2^0,2^1,2^2,.......2^16 were written on the board.You repeatedly take two numbers on the blackboard, subtract one from the other, erase them both, and write the result of the subtraction on the blackboard. What is the largest possible number that can remain on the blackboard when there is only one number left?
Re: plzz solve with explaination
by TG Team - Friday, 6 June 2014, 04:47 PM
  Hi Samradh smile

Take a smaller case:

If you have only four numbers, say 1, 2, 4, 8, then using same operations as above, try to find the largest and smallest possible value of the last remaining number.

It should give you a good hint to solve the question on your own. smile

Kamal Lohia
Re: plzz solve with explaination
by R. kumar - Monday, 29 December 2014, 02:33 PM

Largest no : 2^(n-1) - 1 ?
smallest no : 1 ?
Re: plzz solve with explaination
by TG Team - Tuesday, 30 December 2014, 04:18 PM
  Hi R. Kumar smile

Please post your approach.
As a hint, I've already mentioned that start with smaller case. And you can start
with further smaller than that one.
By the way, your answer doesn't matches mine. smile

Kamal Lohia