How many prime numbers exist between 2 consecutive prime numbers?
Tuesday 17 September 2013
House with too many doors
Have a look at the house plan at the right hand side, with five rooms and sixteen doors in total.
The intention is to make a run through the rooms and pass each of the sixteen doors exactly once.
How many ways can it be done?
Saturday 14 September 2013
Color the Cube
Given the cube and 2 colors such that each color is on exactly 3 faces, how many different coloring combinations are possible?
Taxi Service
Mr. Kothari runs a taxi service in
Ahmedabad. Every day, he travels from Ahmedabad to one nearby city and back.
All the cities are less than 100 km away from Ahmedabad. Everyday morning, Mr.
Kothari fills his car’s fuel tank to the brim. On a full tank, the car can
travel maximum 250 km. Unfortunately, Mr. Kothari forgot to fill his tank
today. What is the probability that he will run out of fuel during the day?
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