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

What word does this rebus represent?

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Solve The below Equation:

ALFA + BETA + GAMA = DELTA

There are two beautiful yet remote islands in the South Pacific. The Islanders born on one island always tell the truth, and the Islanders from the other island always lie.
You are on one of the islands and meet three Islanders. You ask the first which island they are from in the most appropriate Polynesian tongue, and he indicates that the other two Islanders are from the same island. You ask the second Islander the same question, and he also indicates that the other two Islanders are from the same island.
Can you guess what the third Islander will answer to the same question?

What three numbers, none of which is zero, give the same result whether they’re added or multiplied?

I have a big mouth and I am also quite loud! I am NOT a gossip but I do get involved with everyone's dirty business.

There is a family that live in a round house. The two parents go out for a movie and leave a babysitter to watch their son. They come back and the kid was not there. Some one kidnapped him. The maid said she was cleaning in a corner. The cook said he was making pizza. The babysitter said she was getting a board game. Who kidnapped him.

Can you find the missing number in the third row?
35 20 14
27 12 18
5 2 ?

Why do people go to bed?

Can you complete the sequence puzzle?

AR TA GE CA LE VI LI _