We have a whole number, let’s call it ‘b’.

We also have a number of statements:

1 divides exactly into ‘b’

2 divides exactly into ‘b’

3 divides exactly into ‘b’

4 divides exactly into ‘b’

… continuing all the way to …

‘a’ divides exactly into ‘b’

We are told that three consecutive statements in the list are NOT true, while all of the others are true.

Question a: what is the MAXIMUM value that ‘a’ could possibly be?

Question b: given that value for ‘a’, what is the MINIMUM value that ‘b’ could possibly be?