Brain Teasers

1. What are the next three numbers in the given series?
   
   1 1 2 1 2 2 3 1 2 2 3 2 3 3 4 1 2 2 3 2 3 3 4 2 3 3 _ _ _ ?
   
   The pattern is - the number of 1's in the binary expansion of the positive integers starting from 1.
   
   #Number #Binary Equivalent #No: of 1's
   1 , 1 , 1
   2 , 10 , 1
   3 , 11 , 2
   4 , 100 , 1
   5 , 101 , 2
   6 , 110 , 2
   7 , 111 , 3
   8 , 1000 , 1
   ...........
   ..........
   etc
   
   The next three numbers in the series are 4, 3, 4.
    
2. If a boy and a half can eat a hot dog and a half in a minute and a half,
   how many hot dogs can six boys eat in six minutes?
   
   If it takes 1.5 minutes for 1.5 boys to eat 1.5 hotdogs, it will take the same time for 1 boy to eat 1 hotdog (or 100 boys to eat 100 hotdogs) - remember, that's total hotdogs, not hotdogs per boy.
   
   So, a boy takes 1.5 minutes to eat 1 hotdog. Assuming he can keep it up like that for 6 minutes, he will scoff down 4 hotdogs. Thus, in 6 minutes 6 boys will consume 24 hotdogs in total.
    
3. What is represented by the following letters?
   H I J K L M N O
   H ŸŸŸ O = H to O = H2O = water