If H. C. F. of two numbers is 8, then which one of the following numbers cannot be L. C. M. of those numbers?

The correct answer is (d).

The least common multiple (LCM) of two numbers is the smallest number that is a multiple of both numbers. The highest common factor (HCF) of two numbers is the largest number that is a factor of both numbers.

If the HCF of two numbers is 8, then the LCM of those numbers must be a multiple of 8. However, 60 is not a multiple of 8, so it cannot be the LCM of the two numbers.

The other options, 24, 48, and 56, are all multiples of 8, so they could be the LCM of the two numbers.

Here is a table showing the multiples of 8 up to 60:

Multiple | Number
——- | ——–
8 | 8
16 | 16
24 | 24
32 | 32
40 | 40
48 | 48
56 | 56
60 | 60

As you can see, 60 is not a multiple of 8, so it cannot be the LCM of the two numbers.