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Divisibility (Posted on 2004-01-06) Difficulty: 3 of 5
For how many natural numbers x, is the expression: (x + 2x + 3) divisible by 35 ?

See The Solution Submitted by Ravi Raja    
Rating: 2.5000 (6 votes)

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re(2): Solution | Comment 4 of 11 |
(In reply to re: Solution by SilverKnight)

Per Brian:
" For any natural number x, (x^2+2x+3) mod 5 is congruent to 2, 3 or 4."

But isn't it 1, 2 or 3?

As it is modular arithmetic, it need be checked only for values of x as 0 through 4, which give 3, 1, 1, 3, 2 respectively.
  Posted by Charlie on 2004-01-06 13:18:15

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