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

If a shopkeeper can only place the weights on one side of the common balance. For example, if he has weights 1 and 3 then he can measure 1, 3 and 4 only. Now the question is how many minimum weights and names of the weights you will need to measure all weights from 1 to 1000? This is a fairly simple problem and very easy to prove also.

What number divided by 4 is the same as that number minus 4?

Can you decipher the two rows to find the hidden word?

Use the numbers 2, 3, 4 and 5 and the symbols + and = to make a true equation. Conditions: Each must be used exactly once and no other numbers or symbols can be used.

I am never scared but became petrified and can’t live in a house but would die to make one. What am I?

The below mentioned letters have been placed in a order using a logic.

DEAD, BALL, FEAR, SHOP

Can you find the logic?

What's the next in the series?

H, Be, F, S, Mn, Kr, In, Gd, Tl, ?

What kind of band never plays music?

What country can make you shiver?