A large chess tournament starts with 1024 players. How many players will be remaining after 6 rounds

16

Step-by-step explanation:

After reach round the number of players will be reduced by a half.

After 1 round it will be 1024 * 11/2 = 512, after 2 rounds it will be 1024 * (1/2) ^2 = 256 etc ...

Thus, after 6 rounds the remaining players will be 1024 * (1/2) ^6

= 16 (answer)