A rubber ball keeps on bouncing back to 2/3 of the height from which it is dropped. Can you calculate the fraction of its original height that the ball will bounce after it is dropped and it has bounced four times without any hindrance ?

Can you solve below mathematical equation?

2^1234 - 2^1233

Can you find a number that lies one third of the distance between 1/3 and 2/3?

Can you arrange four 9's and use at most 2 math symbols, to make the total 100?

What number divided by 4 is the same as that number minus 4?

Can you find the ages of a son, father and grandfather based on the following facts?
The sum of the ages of grandfather, father and son is 140 years.
The age of the son in months is the same as the grandfather in years.
The age of the son in days is the same as the father in weeks.

A four-digit number (not beginning with 0) can be represented by ABCD. There is one number such that ABCD=A^B*C^D, where A^B means A raised to the B power. Can you find it?

What's a single-digit number with no value?

If 5 cats catch 5 mice in 5 minutes, how long will it take one cat to catch a mouse?

John drives to his office at 20km/hr. After reaching the office, he realizes that today is a holiday. He went back at an average speed of 30km/hr. Discounting the time spent in the stoppage what was the average speed of his journey?