So, please, don't be angry with me if my book is giving me wrong resistence values
The book gives the right values. What you have is the wrong circuit.
The schematic -----753.jpg will not allow you to differentiate individual buttons. The other one will, but it is not how you wired things up in your reply #8. The resistors shown in that book however are not very well designed. They should be a power of two difference. So 200R 400R and 800R or 1K 2K 4K, or 20K 40K 80K, however 200R 10K and 1M are not very good.