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Crossnumber IV (Posted on 2014-08-18) Difficulty: 2 of 5
      A     B     C
   +-----+-----+-----+      
 A |     |     |     |    
   +-----+-----+-----+  
 B |     |     |     |        
   +-----+-----+-----+     
 C |     |     |     |  
   +-----+-----+-----+
Complete the crossnumber, using six 3-digit positive integers and having regard to the following clues:
                                            
          ACROSS                               

A. A number that is both a square and a cube.                                 
B. A perfect square                            
C. A perfect square   
                       
           DOWN
   
A. A triangular number.                            
B. A perfect square                     
C. A perfect square

No Solution Yet Submitted by K Sengupta    
Rating: 1.5000 (2 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Some Thoughts attempt without leading zeroes | Comment 2 of 3 |
A Across must be 729.

A Down can then be 703,741 or 780, but 703 would cause B Across to be really only a 2-digit number as it would have a leading zero. The same holds for 780 and C Across. So A Down is 741.

7 2 9
4
1


The rest are perfect squares.

Either 

7 2 9           7 2 9
4 0 0 or 4   6  (no valid 4-6)
1   0 1   1
Only the left side is valid so far, but no square will fit B Down.

  Posted by Charlie on 2014-08-18 12:24:28
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