how many number like $119$ How many 3-digits number has this property like $119$:
$119$ divided by $2$ the remainder is $1$ 
119 divided by $3$ the remainderis $2 $
$119$ divided by $4$ the remainder is $3$
$119$ divided by $5$ the remainder is $4$
$119$ divided by $6$ the remainder is $5$

A brute force solution in python:
    >>> def check_remainders(three_digit_number):
    ...     return all(three_digit_number % n == n -1
    ...         for n in (2, 3, 4, 5, 6))
    ...
    >>> # Filter a list of all 3-digit numbers with the above function
    ... all_numbers = filter(check_remainders, range(100, 1000))
    >>> print(all_numbers)
    [119, 179, 239, 299, 359, 419, 479, 539, 599, 659, 719, 779, 839, 899, 959]
    >>>
    >>> # "Try adding multiples of 60 to 119", Gerry Myerson said.
    ... [119 + (i * 60) for i in range(15)]
    [119, 179, 239, 299, 359, 419, 479, 539, 599, 659, 719, 779, 839, 899, 959]
    >>>
    >>> # so how many numbers like these are there?
    ... print(len(all_numbers))
    15

