Weekly Brain Teaser

brainteaserEvery week we feature a Brain Teaser or a thought-provoking question.

So, here is this week’s,

There is a number less than 3000 that when divided by 2 leaves a remainder of  1, when divided by 3 leaves a remainder of 2, when divided by 4 leaves a remainder of 3, When divided by 5 leaves a remainder of 4, when divided by 6 leaves a remainder of 5, and so on up to nine.

What is that number?

The correct answer will be posted a week following this posting.


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    1. Is it -1? I did algebra and am not sure in my answer at all.
      I used the equation X=9X+8
      X=9X+8. | 0=8X+8 |. -8=8X| -1=X
      ————–|———————— |————–
      -X -X. | -8. -8 |. /8. /8 | Answer=-1

    2. The Number is
      Method of Solution:
      1- The first statement means it is a odd number
      2- The last statement means it end with (4 or 9 ) but (4 is an even number) so its end with 9
      3- When we said that its reminder is equal to 2 when divided by 3 .. and the last digit is 9 .. So we have number of choices.
      4- We have other choices for other reminders (for the other 3 )
      5- By reducing the choices we have = 2519

      good luck

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