Math Puzzle--->Find the Number

[greatwhiteshark]

I came across this question in a new Math Puzzle book recently purchased. I can't figure it out. Any hints?

Find the number if:

1. it is a three digit whole number
2. it is divisible by 7
3. it is divisible by 9
4. it is divisible by 11
5. it is divisible by 3
6, it is not divisible by 5
7. it is not divisible by 4
8. it is not divisible by 6
9. it is greater than 500
10. it is an odd number

 

[ChaoticLlama]

1. it is a three digit whole number
2. it is divisible by 7
3. it is divisible by 9
4. it is divisible by 11
5. it is divisible by 3
6, it is not divisible by 5
7. it is not divisible by 4
8. it is not divisible by 6
9. it is greater than 500
10. it is an odd number

For these problems, just look at the divisibility.

Condition 5 is redundant since if the number is divisible by 9, it must be by 3 as well.

It must be divisible by 7, 9, and 11 so..

7 * 9 * 11 = 693

 

[greatwhiteshark]

Good Notes

Good notes.