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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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Click for Other Brain Teasers | Back – Next | How well do you remember your prime numbers?
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 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.
To answer Mike’s question, there is a correct answer for this question.
UPDATE: None one the 67 responses have been correct.
Enjoy.