All about flooble | fun stuff | Get a free chatterbox | Free JavaScript | Avatars    
perplexus dot info

Home > Numbers
Clueless (Posted on 2005-03-14) Difficulty: 3 of 5
I gave my niece and nephew the following puzzler:

A: Draw a 3x3 grid, with the boxes labeled 1 through 9 in the usual order (left to right; top to bottom).

B:For each of the following instructions you must write a number, greater than 10, starting in one box and going across (left to right) or down, with one digit to each box. Your answers should fill the grid, with no two answers overlapping.

C:Starting with a box whose number is a square, write a square number.

D:Starting with a box whose number is a cube, write a cube number.

E:Starting in a box whose number is prime, write a prime number whose digits add up to an even number.

F:Starting with a box whose number is even, write an even number

Unfortunately, one of the copies of my instructions had part F completely missing. Each child turned in a 3x3 grid which was correct for the version they had been given. By coincidence, they turned in identical grids.

How did they fill out their grids?

See The Solution Submitted by Sam    
Rating: 4.0000 (1 votes)

Comments: ( Back to comment list | You must be logged in to post comments.)
Solution 15 solutions | Comment 6 of 7 |
There are 15 possible solutions:

Each 3x3 grid is given on the left.
Each number of an indicated type is preceded by a string that defines the type and positional placement of the number: N[pX]=, 
N is the type number:
(C = cube, S = Square, P = prime, E = even number) 
p is the label number (i.e., the position of the starting box), and X is the direction of placement:
(A = across, D = down).

125 C[1A]=125 S[4A]=289 P[7A]=127
289 C[8A]= 27 S[1D]=121 P[3D]= 59 E[2D]= 28
127

729 C[1A]=729 S[4A]=289 P[7A]=227
289 C[8A]= 27 S[1A]=729 P[5A]= 89 E[4D]= 22
227

729 C[1A]=729 S[4A]=289 P[7A]=827
289 C[8A]= 27 S[1A]=729 P[5A]= 89 E[4D]= 28
827

729 C[1A]=729 S[4A]=361 P[7A]=227
361 C[8A]= 27 S[1A]=729 P[5A]= 61 E[4D]= 32
227

729 C[1A]=729 S[4A]=361 P[7A]=827
361 C[8A]= 27 S[1A]=729 P[5A]= 61 E[4D]= 38
827

729 C[1A]=729 S[4A]=441 P[7A]=227
441 C[8A]= 27 S[1A]=729 P[5A]= 41 E[4D]= 42
227

729 C[1A]=729 S[4A]=441 P[7A]=827
441 C[8A]= 27 S[1A]=729 P[5A]= 41 E[4D]= 48
827

729 C[1A]=729 S[4A]=441 P[7A]=227
529 C[8A]= 27 S[1A]=729 P[5A]= 29 E[4D]= 52
227

729 C[1A]=729 S[4A]=529 P[7A]=827
529 C[8A]= 27 S[1A]=729 P[5A]= 29 E[4D]= 58
827

729 C[1A]=729 S[4A]=729 P[7A]=227
729 C[8A]= 27 S[1A]=729 P[5A]= 29 E[4D]= 72
227

729 C[1A]=729 S[4A]=729 P[7A]=827
729 C[8A]= 27 S[1A]=729 P[5A]= 29 E[4D]= 78
827

729 C[1A]=729 S[4A]=841 P[7A]=227
841 C[8A]= 27 S[1A]=729 P[5A]= 41 E[4D]= 82
227

729 C[1A]=729 S[4A]=841 P[7A]=827
841 C[8A]= 27 S[1A]=729 P[5A]= 41 E[4D]= 88
827

729 C[1A]=729 S[4A]=961 P[7A]=227
961 C[8A]= 27 S[1A]=729 P[5A]= 61 E[4D]= 92
227

729 C[1A]=729 S[4A]=961 P[7A]=827
961 C[8A]= 27 S[1A]=729 P[5A]= 61 E[4D]= 98
827


  Posted by Dej Mar on 2012-02-04 07:06:16
Please log in:
Login:
Password:
Remember me:
Sign up! | Forgot password


Search:
Search body:
Forums (0)
Newest Problems
Random Problem
FAQ | About This Site
Site Statistics
New Comments (9)
Unsolved Problems
Top Rated Problems
This month's top
Most Commented On

Chatterbox:
Copyright © 2002 - 2024 by Animus Pactum Consulting. All rights reserved. Privacy Information