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Harder Puzzle (Posted on 2003-02-21) Difficulty: 3 of 5
If the puzzle you solved before you solved the puzzle you solved after you solved the puzzle you solved before you solved this one, was harder than the puzzle you solved after you solved the puzzle you solved before you solved this one, was the puzzle you solved before you solved this one harder than this one?

See The Solution Submitted by Gautam    
Rating: 3.0000 (9 votes)

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Solution Puzzle Solution Comment 10 of 10 |
Let us denote this puzzle by n.
The puzzle solved before solving this puzzle as n-1, and:
The the puzzle solved after solving this puzzle as n+1

Then:
(A) "If the puzzle you solved before  you solved this puzzle you solved after you solved this puzzle you solved before you solved this puzzle
=> n-1+1-1= n-1      ...,,,(i)

(B) 'was harder than "the puzzle you solved after you solved this puzzle you solved before you solved this one"'
=> 'was harder than n-1+1'
=> 'was harder than n'  .......(ii)
Therefore,  by ( i) and (ii): "n-1was harder than n" ......(iii)

(C) The question  is:' was "the puzzle you solved before you solved this one harder than this one?"'
=> 'was n-1 harder than n?'
In terms of (iii), the response to this query is an emphatic affirmative.

Consequently,  the required answer to the given puzzle is: YES.



  Posted by K Sengupta on 2021-12-31 22:19:05
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