7 thoughts on “Base Systems – Properties

    • Hi Nishant,

      We’ll just look at a few quick tricks, not go for too advanced problems as of now 🙂 The thing is that base systems have not been that frequently asked in CAT so I don’t plan to concentrate much on the topic for now…


  1. Gud afternoon sir…
    sir please explain the last part of today’s blog. the number of the form (2abc) to the base 6 lies between 432 and 647… it is a 4 digit number then it shud lie between 6^3 and 6^4 -1

    • Girish, it is not just a 4-digit number but a 4-digit number starting with 2. So the highest power (in this case 6^3) is occurring exactly twice. Think about it: (2000)6 = 2 * 216 = 432, while (3000)6 is 3*216 = 648. So any number of the form (2abc)6 will be >= 432 but < 648 i.e. between 432 and 647 inclusive.

      This is just like saying any number of the form (5abc) in our usual base 10 must be between 5*10^3 and (6*10^3-1) i.e. between 5000 and 5999….


Leave a Reply

Fill in your details below or click an icon to log in:

WordPress.com Logo

You are commenting using your WordPress.com account. Log Out /  Change )

Twitter picture

You are commenting using your Twitter account. Log Out /  Change )

Facebook photo

You are commenting using your Facebook account. Log Out /  Change )

Connecting to %s