2, 3, 5, 9, 17, _ What is the next number in the sequence?

Solve The below Equation:

ALFA + BETA + GAMA = DELTA

Can you complete the sequence puzzle?

AR TA GE CA LE VI LI _

A four-digit number (not beginning with 0) can be represented by ABCD. There is one number such that ABCD=A^B*C^D, where A^B means A raised to the B power. Can you find it?

If we tie a Sheep to one peg, a circled grass is been eaten by the Sheep. If we tie the Sheep to two pegs with a circle on its neck, then an eclipse is eaten out of the grass by the Sheep. If we want an eclipse then we put two pegs and then put a rope in between them and the other end of the rope is tied up on the Sheep's neck.

How should we tie the peg and the Sheep so that a square is eaten out from the garden grass? We only have one Sheep rope and the peg and the rings.

A sundial has the fewest moving parts of any timepiece. Which has the most?

A man lives on the fifteenth floor of an apartment building. Every morning he takes the elevator down to the lobby and leaves the building. In the evening, he gets into the elevator, and, if there is someone else in the elevator, or if it was raining that day, he goes back to his floor directly. Otherwise, he goes to the tenth floor and walks up five flights of stairs to his apartment. Can you explain why he does this?

What is the Surname of Barbie Doll?

James bond was pushed out of an aeroplane without any parachute.
He survived, How come?

A seven-year-old kid challenged his classmates that he can make the number one disappear by adding something to it.

How can he do that?