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Numeric Keypad (Posted on 2011-04-15) Difficulty: 2 of 5
Rearrange the key caps of the 1 through 9 on a numeric keypad so that no cap is on its correct key, in such a manner that each of the three rows forms a 3-digit perfect square.
 
789 456 123

See The Solution Submitted by Charlie    
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Solution answer & spoiler | Comment 1 of 4
 

SQUARES:

There are only two that contain the digit 4 (324 and 784). Use a little trial and error and you'll get the answer.

 

324 --> 169 --> 578 (no arrangements work)

324 --> 196 (same thing)

324 --> 576 --> 189 (no arrangements work)

etc.

 

784 --> 169 --> 235 (no arrangements)

784 --> 196 (same thing)

784 --> 256 --> 139 (no arrangements)

784 --> 361 -->  529    yes!!

 

Answer:

19² = 361

23² = 529

28² = 784

solved by GOOGLE look-up


  Posted by Ady TZIDON on 2011-04-15 12:52:21
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