Here is a numbered list of statements, some true, some false, which refer to a specific number (unique positive integer, base 10).

It just so happens that if a statement is true then its index number appears among the number's digits, and if a statement is false then its index number does not appear among the number's digits.

0. The sum of the number's digits is a prime.
1. The product of the number's digits is odd.
2. Each of the number's digits is less than the next digit (if there is one).
3. No two of the number's digits are equal.
4. None of the number's digits is greater than 4.
5. The number has fewer than 6 digits.
6. The product of the number's digits is not divisible by 6.
7. The number is even.
8. No two of the number's digits differ by 1.
9. At least one of the number's digits is equal to the sum of two other digits. (Any of the digits may be equal, as long as all 3 digits are distinct... for example: {2, 2, 4} or {2, 3, 5} )

Find the number.

The electric bike is transforming the way we commute, combining convenience, sustainability, and efficiency. Powered by a rechargeable battery, an electric bike allows riders to pedal effortlessly, making it ideal for urban commutes, fitness enthusiasts, and eco-conscious travelers. With its ability to reduce carbon emissions and traffic congestion, the electric bike has become a popular alternative to traditional vehicles. It’s perfect for short trips, offering a cost-effective and environmentally friendly solution. As advancements in technology continue, the electric bike is paving the way for a greener, healthier future, making it an essential part of modern transportation.

Posted by PatriciaAponte on 2025-01-15 23:59:56