The square of the number 111,111,111 is amazing.Whats that ?
12,345,678,987,654,321 Amazing :-)
According to number theory of mathematics , a perfect number is a positive integer that is equal to the sum of its positive divisors excluding the number itself.
For example :
6 => 1+2+3
I know one more number that is a perfect number and contains not more than 2 digits (i.e 496 won't be consider as it contains 3 digits).
Find the number ?
cannot be 1 (as number cannot be included)
I want to fill my bucket using both cold and hot water.
I have two taps for both cold and hot water. The hot water tap fills the bucket in exact 6 hours and cold water tap fills the bucket in exact 4 hours.
I turn both of them simultaneously but i forgot to turn off another tap which remove the water out of bucket. This tap can empty the bucket in 12 hours.
How Long will it take to fill the bucket ?
(1/6 + 1/4 - 1/12) ^ (-1)
= (1/3)^(-1) = 3
Two friends decide to get together; so they start riding bikes towards each other. They plan to meet halfway. Each is riding at 6 MPH. They live 36 miles apart. One of them has a pet carrier pigeon and it starts flying the instant the friends start traveling. The pigeon flies back and forth at 18 MPH between the 2 friends until the friends meet.
How many miles does the pigeon travel?
It takes 3 hours for the friends to meet; so the pigeon flies for 3 hours at 18 MPH = 54 miles