If 21x = 79x, what is the value of x?

Find out a multi-digit number that if multiplied by the number 9 or any of its multiplications products (i.e. 18, 27, 36, 45,..) will result in the multiplication factor repeated (n) number of times.

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

which number am I?

When monkey rotate the gear, which mark will be hit 1 or 2 ?

What is next number in the pattern below:

131 517 192 123 ?

Can you find out the smallest number that can be conveyed as the sum of three squares in three unique ways?

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

500 women soldiers are arranged in an array of ten rows and fifty columns in accordance with their respective heights. Now, the tallest woman from each row is asked to move out in the front. From them, the shortest one is labelled as Alpha. They are then asked to resume their original position.

Now, the shortest woman in each column is asked to come out in front. The tallest among them is labelled as Beta.

Can you find out if Alpha will be taller or Beta?

Whats the next number in the below number sequence pattern.

Rebus Puzzle Definition: A rebus is an illusion device that uses pictures to represent words or parts of words.
What does This Rebus Puzzle Identify?