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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

  3. Is it 2519 ?

  4. Congratulations to Jenkins and Spencer for being the first ones to respond back with the correct answer.
    If you are still struggling with the answer, email me at info@engineeringdaily.net and I will give the the answer or the clues.
    If you feel smart enough to attempt next week’s brain teaser, click here.

  5. To answer Mike’s question, there is a correct answer for this question.
    UPDATE: None one the 67 responses have been correct.

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