Can you fill the blank with the correct number?

6 30 870 756030 _____

I am a seven-letter word but if you remove four of my letters I will have one left. What word am I?

What is the four-digit number in which the first digit is one-third the second, the third is the sum of the first two, and the last is three times the second?

what does this below rebus represent identXQQQQQME

Imagine you are in a room with no windows or doors. How will you get out?

Look at the picture and find out which square is not linked with any of the other squares.

There is an English word that can be used up to four times in a row without modifying the spelling and form a valid grammatical sentence.

Do you know what word is that?

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

You are playing a game with your friend Jack. There are digits from 1 to 9. You both will take turn erasing one digit and adding it to your score. The first one to score 15 points will win the game.

Would you want to play first or second?

PS: The sum should be exactly 15.

A man was found murdered on Sunday morning. His wife immediately called the police. The police questioned the wife and staff and got these alibis: The Wife said she was sleeping. The Cook was cooking breakfast. The Gardener was picking vegetables. The Maid was getting the mail. The Butler was cleaning the closet. The police instantly arrested the murderer. Who did it and how did they know?