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

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?

Can you move 2 matchsticks to form four equal sized squares.

Can you identify the direction in which this bus is moving; left or right?

Hint: The bus is moving on the roads of London.

I ask Joseph to pick any 5 cards out of a deck with no Jokers.

He can inspect then shuffle the deck before picking any five cards. He picks out 5 cards then hands them to me (Jack can't see any of this). I look at the cards and I pick 1 card out and give it back to Joseph. I then arrange the other four cards in a special way, and give those 4 cards all face down, and in a neat pile, to Jack.

Jack looks at the 4 cards i gave him, and says out loud which card Joseph is holding (suit and number). How?

The solution uses pure logic, not sleight of hand. All Jack needs to know is the order of the cards and what is on their face, nothing more.

Many have heard it, but nobody has ever seen it, and it will not speak back until spoken to. What is it?

Begin with a word, five letters to my name,
Remove the first and last but I am the same
Take out my middle and still, I remain.
What word am I?

what does the below math rebus puzzle mean?

What's a single-digit number with no value?

Find the smallest sentence with all the English alphabet.