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?

Solve below popular number sequence
314 159 265 358 979 323 846 ?

We know that the number 7 is the prime followed by a cube. Which next number is also a prime followed by a cube?

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

The square root of number 121 is "11". What is the square root of the number "12345678987654321."?

A famous swimmer can swim downstream in a lake in exactly 40 minutes with the lake current.
He can swim upstream in that lake in exactly 60 minutes against the lake current.
The length of the lake is 2 km.

How long he can cover the distance of one side at a still lake with no current?

Look at this sequence from top to bottom. What is the next number in the sequence?
1
11
21
1211
111221
312211

What is the value of 1/2 of 2/3 of 3/4 of 4/5 of 5/6 of 6/7 of 7/8 of 8/9 of 9/10 of 1000?

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

There is a square of a particular number which when doubled, becomes 7 more than its quarter.

Can you find the number?