Which three-digit number, made of consecutive digits, like 567, is 2 less than a cube and 2 more than a square?

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 the 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 removes the water out of the bucket. This tap can empty the bucket in 12 hours.

How Long will it take to fill the bucket?

There once were seven dwarfs who were all brothers. They were all born two years apart. The youngest dwarf is seven years old. How old is his oldest brother?

I am a prime number.
The double of myself is equal to the square of me.

which number am I?

Can you find out which number multiplied by itself will give the output as 12345678987654321?

How many triangles are there on the puzzle below?

What is next number in the pattern below:

131 517 192 123 ?

0 0 0 = 6
1 1 1 = 6
2 2 2 = 6
3 3 3 = 6
4 4 4 = 6
5 5 5 = 6
6 6 6 = 6
7 7 7 = 6
8 8 8 = 6
9 9 9 = 6

You can use any mathematical symbols in the space provided to make all above algebraic expressions true.

Place a mathematical symbol between the numerals 5 and 9 in such a way that the resulting number is greater than 5 but smaller than 9.

There are two candles. Both will only burn exactly for an hour. How will you use these two candles to measure forty-five minutes?