Riddle: How Many Pages Are Torn Out?
This is a question that makes the rounds from time to time and is a great way to test how people think. The riddle is as follows:
A boy was playing with a book and tore out pages 7, 8, 100, 101, 222, and 223. How many pages were torn out?
Understanding the Riddle:
At first glance, it seems like the boy tore out 6 different pages, but the reality is a bit more complex. In a book, every sheet of paper actually has two numbered pages: one page is on the right side and is an odd number, while the other page is on the left side and is an even number.
For example:
Sheet 1: page 1 (odd) and page 2 (even).
Sheet 2: page 3 (odd) and page 4 (even).
Sheet 3: page 5 (odd) and page 6 (even).
And so on.
This means that each sheet of paper contains two different numbered pages, and if one sheet is torn out, both pages will be removed together.
Analyzing the Torn Pages:
Let’s break down the pages mentioned in the riddle:
Pages 7 and 8:
These are on the same sheet of paper, with page 7 on the right (odd) and page 8 on the left (even). So, this is one sheet that was torn out.
Pages 100 and 101:
These are also on the same sheet of paper, with page 100 on the right and page 101 on the left. So, this is another sheet that was torn out.
Pages 222 and 223:
Again, these are on the same sheet, with page 222 on the right and page 223 on the left. This is yet another sheet that was torn out.
Summary of the Torn Sheets:
In this riddle, it might seem like the boy tore out 6 pages, but since every sheet contains two pages, he actually tore out only 3 sheets, each of which contains two pages.
To summarize:
Pages 7 and 8 are on the same sheet (1 sheet).
Pages 100 and 101 are on the same sheet (1 sheet).
Pages 222 and 223 are on the same sheet (1 sheet).
So, he tore out 3 sheets.
How Many Pages in Total?
Each sheet has 2 pages. To calculate the total number of torn pages, we multiply the 3 sheets by 2 pages per sheet:
3 sheets x 2 pages per sheet = 6 pages torn in total.
Conclusion:
Even though the words in the riddle might lead you to different conclusions, since every sheet contains two numbered pages, in reality, the boy tore out 3 sheets, which equals 6 pages in total.
Final Answer:
The boy tore out 3 sheets, which makes a total of 6 pages torn.