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Geometric Integers (Posted on 2006-11-09) Difficulty: 2 of 5
The number 201 is divided by a positive integer N. It is observed that the quotient, remainder and divisor (that is, N itself), but not necessarily in this order, are in geometric sequence.

What can N be?

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

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Solution computer solution | Comment 3 of 6 |

FOR n = 1 TO 201
  q = INT(201 / n)
  r = 201 - q * n
  IF n * n = q * r OR q * q = n * r OR r * r = n * q THEN PRINT n, q, r
NEXT

n              q            r
12            16            9
16            12            9

as 12*16 + 9 = 201.

 

 
  Posted by Charlie on 2006-11-09 14:02:37
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