The difference between any two natural numbers is 10. What can be said about the natural numbers which are divisible by 5 and lie…

Question

The difference between any two natural numbers is 10. What can be said about the natural numbers which are divisible by 5 and lie between these two numbers?

1. A. There is only one such number.
2. B. There are only two such numbers.
3. C. There can be more than one such number. (Correct answer)
4. D. No such number exists.

Correct Answer

Option C — There can be more than one such number.

Detailed Solution & Explanation

The correct answer is There can be more than one such number..

Key Points

• Two natural numbers differ by 10 (e.g., a and a+10).
• Natural numbers divisible by 5 between them depend on a. If a=1: between 1 and 11 → 5, 10 → two numbers.
• If a=5: between 5 and 15 → 10 → one number.
• If a=2: between 2 and 12 → 5, 10 → two numbers.
• If a=6: between 6 and 16 → 10, 15 → two numbers.
• So sometimes 1, sometimes 2 numbers are between them.
• "There can be more than one such number" (option C) is the most accurate general statement.
• Answer: There can be more than one such number.