I am the beginning of the end, and the end of time and space. I am essential to creation, and I surround every place. What am I?

He runs but never walks. Murmurs, but never talks. Has a bed, but never sleeps. And has a mouth, but never eats?

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.

What is black when you buy it, red when you use it, and gray when you throw it away?

Use the digits from 1 up to 9 and make 100.

Follow the rules.
=> Each digit should be used only once.
=> You can only use addition.
=> For making a number, two single digits can be combined (for example, 4 and 2 can be combined to form 42 or 24)
=> A fraction can also be made by combining the two single digits (for example, 4 and 2 can be combined to form 4/2 or 2/4)

Question: how can we do this?

Can you find a pattern and the missing number in the series given below?

100, 155, 258,? , 584, 819.

Spot the cat in the picture below

One is to three as three is to five and five is to four and four is the magic number.
What is the pattern?

Can you divide the below-given shape into four equal and identical pieces?

Can it be possible to build a house that has all its four walls facing towards the South?