Every 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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Posted by admin
on Feb 16th, 2009 and filed under Discussions.
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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

The Number is

2519

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

Is it 2519 ?

Yes sir.

Attempt the other one on prime numbers. .

Best of luck.

Congratulations to

Jenkins and Spencerfor being the first ones to respond back with the correct answer.If you are still struggling with the answer, email me at

info@engineeringdaily.netand I will give the the answer or the clues.If you feel smart enough to attempt next week’s brain teaser, click here.

To answer Mike’s question, there is a correct answer for this question.

UPDATE: None one the 67 responses have been correct.

Enjoy.