Question

1. It is a four-digit whole number.

2. Each of its digits is even.
3. Each of its digits is different.
4. The sum of its one digit and its hundreds digit is 10.
5. The sum of its tens digit and its thousand digit is 10.
6. It is greater than 7000.
7. It is divisible by 4.
8. The numeral O is not one of its digits.
9. It is divisible by 8.
10. Its hundreds digit is 6.

Answer 1

8624

Explanation:

let's write four blanks to represent the number _ _ _ _

by rule #10 we can fill in one digit

_ 6 _ _

using rule 4 we can wee that the ones digit is 4

_ 6 _ 4

We know that the thousand's digit has to be an even number greater than 7 (which leaves 8 only)

8 6 _ 4

using rule 5 we can see that the tens digit is 2

get get

8624