perplexus.info :: Numbers : Five Squares

Five Squares (Posted on 2007-04-18)

This array of base 10 digits, read from left to right and top-down, contains 4 square numbers. The fifth numeral is as close as possible to another square.


     a  b  c
     d  e  f

Identify the array.

Submitted by brianjn

Rating: 3.7500 (4 votes)

Solution: (Hide)

The unit digits of the squares of 36, 49 and 81 can be arranged to create the squares 169 (13), 196 (14) and 961 (31).
These arrangements result in a fifth digit having the values of 438, 834 and 843.

438 + 3 = 441 (21)
834 + 7 = 841 (29)
843 - 2 = 841 (29)

My array is therefore:
8 4 3 1 9 6

-----------------------------------------
Charlie, in comments, while having addressed the requirements, has given a wider range of possibilities had the criteria been different.

Comments: ( You must be logged in to post comments.)

Subject	Author	Date
Answer	K Sengupta	2008-10-15 00:33:03
re(2): Multiple solutions	brianjn	2007-04-21 22:40:40
re: Multiple solutions	Guest	2007-04-19 16:01:51
Multiple solutions	Guest	2007-04-19 15:56:29
re: if c can equal d	brianjn	2007-04-18 19:58:52
if c can equal d	Charlie	2007-04-18 11:40:18
computer solution	Charlie	2007-04-18 11:32:07

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