What word is pronounced the same if you take away four of its five letters?

Find a 9-digit number, which you will gradually round off starting with units, then tenth, hundred etc., until you get to the last numeral, which you do not round off. The rounding alternates (up, down, up ...). After rounding off 8 times, the final number is 500000000. The original number is commensurable by 6 and 7, all the numbers from 1 to 9 are used, and after rounding four times the sum of the not rounded numerals equals 24.

Solve the equation by replacing the alphabet with numbers.

MOM + MOM + NO = BOOK=

In a town, there are four houses located at different distances from each other. Following are the distances:

The third house is 60 meters apart from the first house.
The fourth house is 40 meters apart from the second house.
The third house is 10 meters nearer to the fourth house than it is to the second house.

Can you find out the distance between the fourth and the first house?

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

What does this Rebus Picture mean?

Which point will the car reach to go out?

Chef Andrea has to light the kitchen stoves to open her restaurant for the day. There are three stoves in the kitchen: A glass stove, a brick stove, and a wood stove. She only has one match. Which does she light up first?

Rearrange the letters in "new door" to make one word.

I am written with two letters.
I said with the one.
I usually am seen with the two.

Who am I?