Problema Solution

A book has 162 pages. However, the printer made an error on the page numbering so that every third number was left out. The numbering, therefore, was: 1, 2, 4, 5, 7, 8, 10, 11, ……… What is the number on the last printed page?

Answer provided by our tutors

Notice that the numbers that are dividable by 3 are left out: 3, 6, 9,...

Since 3|162 (162 = 3*54) the page number 162 will be left out and the last printed page will have the number 161.