The answer is that there are no numbers divisible by both 5 and 10, and not divisible by 2.
Here's why:
- Divisibility by 10: If a number is divisible by 10, it must also be divisible by both 5 and 2 (since 10 = 5 x 2).
- The Contradiction: The question asks for numbers divisible by both 5 and 10 (which means they must be divisible by 2), but also not divisible by 2. This creates a contradiction.
- Reference Confirmation: The provided reference states that there are "infinite numbers which can be divisible by 5 and 10 but not by 2!!". The use of exclamation marks and the double negative in the context of the question is misleading. The key is that the statement is incorrect. If a number is divisible by 10, it must be divisible by 2. The reference seems to have incorrectly stated that there are such numbers, or it has a typo.
Therefore, there are no numbers that fulfill the specific criteria in the original question. Any number divisible by 10 is by definition also divisible by 2.
