Problem
There is a non vegetarian restaurant which sells chicken in orders of 6, 9 and 20.
Calculate the maximum number of chicken pieces you cannot order from that restaurant ?
Solution
43
If you analyze, then you will find that all the 6 numbers divisible by 3
can be ordered. Why? Because you can break them own as the sum of 6 and
9.
Now after 26, all the numbers that are divisible by 3 if subtracted by 40 can be obtained.
After 46, all the numbers will fit into one of the above categories and
thus all such numbers can be obtained....