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?
- AThere is only one such number.
- BThere are only two such numbers.
- CThere can be more than one such number.Correct
- DNo such number exists.
Explanation
To understand why option C is correct, let us consider two different scenarios for the natural numbers with a difference of 10.
Case 1: Let the two numbers be 5 and 15. The numbers between them are 6, 7, 8, 9, 10, 11, 12, 13, and 14. In this case, only one number (10) is divisible by 5.
Case 2: Let the two numbers be 4 and 14. The numbers between them are 5, 6, 7, 8, 9, 10, 11, 12, and 13. In this case, two numbers (5 and 10) are divisible by 5.
Since the count of such numbers can vary depending on the specific pair chosen, we cannot say there is only one or only two. Therefore, the most accurate statement is that there can be more than one such number. This makes C the correct choice.
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