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Sunday Puzzle-7

User Rating: / 0
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Written by Administrator   
Monday, 12 December 2011
Image
Puzzle courtesy of Barry R. Clarke, columnist for The Daily Telegraph and
international puzzle expert.

Core Conundrum

Image

Old Mother Pip had a wooden box of apples partitioned into a 4×4 grid of compartments. Shown is the number of apples in each section. Rearrange the digits in the grid so that when completed, each row and column totals the same number, and no row nor column has a repeated digit. Only one row and one column is shown completely correct, and only one other number is shown correctly positioned. Can you find the correct arrangement?

Related reading:
Sunday Puzzle-6
Sunday Puzzle-5
Sunday Puzzle-4
Sunday Puzzle-3
Sunday Puzzle-2
Sunday Puzzle

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Comments (3)
1. Written by Andrey on 05:33 13 2011 .
 
 
Good nut :) 
 
Solution. 
 
It is obvious that column \'c\' (5, 8, 4, 1) and row \'2\' (9, 2, 4, 3) are only column and row which correspond to the initial conditions. So 5 + 8 + 4 + 1 = 9 + 2 + 4 + 3 = 18.  
Further observation hints that only \'a1\' or \'b1\' may be chosen as \'only one other number in the place.  
 
Choice of \'b1\' leave us with no options but to have  
 
\'a1\' + \'d1\' = 14 
\'b3\' + \'b4\' = 13 
 
However, we have only {5, 2, 5, 9, 8, 3, 4, 1} to satisfy them. 
 
Quick glance gives: 
 
\'a1\' or \'d1\' = 5 or 9 
and 
\'b3\' or \'b4\' = 5 or 8 
 
But due to \'a2\' = 9, \'a1\' can be only 5. So \'a1\' = 5, \'d1\' = 9. 
Same story goes for \'b3\' and \'b4\', so \'b3\' = 5, \'b4\' = 8. 
 
And we have {1, 2, 3, 4} left at our disposal which can be quickly arranged. 
 
So the answer is: 
 
3 8 5 2 
1 5 8 4 
9 2 4 3 
5 3 1 9
 
2. Written by This e-mail address is being protected from spam bots, you need JavaScript enabled to view it on 17:09 26 2012 .
 
 
ZzshxYTLBvxOaHggF
Hi Snowflake, pzeulzs are so entertaining and fun, and give you links and I hope you find it useful to have a good day and enjoy the games.
 
3. Written by This e-mail address is being protected from spam bots, you need JavaScript enabled to view it on 19:42 26 2012 .
 
 
ZbnGxWUxZiNokqRKc
Take a large piece of cdarboard, glue the picture on it, and use a cutter to cut into pieces puzzle.barato, easy, and it works great:]
 

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