If X^1/3 - X^1/9 = 6, what is the value of X?

Which word best describes the meaning of 'August'?

It was he / who came / running / into the classroom.

 Using the word “BHUTAN”, how many words can be formed if all words must begin with the letter “U”? 

Rs. 9800 are invested partly in 9% stock at 75 and 10% stock at 80 to have an equal amount of incomes. The investment in 9% stock is:

 A 20 liter mixture contains 30% alcohol and 70% water. If 5 liters of water is added to the mixture, what will be the percentage of alcohol in the new mixture ? 

 You are the sports custodians in your school and you have to arrange a tennis match for 16 players for the monsoon season. If there can be no draws how many games must be played if each player can be eliminated by one loss? 

A hose takes 6 minutes less time to fill up a tank, compared to the time taken by another hose to fill the same tank. If the first hose has a diameter such that it is 5/2 times faster than the second, find the time taken (in minutes) by the first hose to fill up the tank.

It takes 6 minutes for hole1 to empty a bucket, and it takes double the time for hole2 to empty the same bucket. If the tap can fill the bucket without holes in 1 minute and 20 seconds, how much time will it take to fill the bucket with both holes?

In Ajay's opinion, his weight is greater than 65 kg but less than 72 kg. His brother doest not agree with Ajay and he thinks that Ajay's weight is greater than 60 kg but less than 70 kg. His mother's view is that his weight cannot be greater than 68 kg. If all are them are correct in their estimation, what is the average of different probable weights of Ajay?