Take away my first letter, then take away my second letter. Then take away the rest of my letters, yet I remain the same. What am I?

Can you find the thief by just looking at the picture below?

The teacher told the student that if he told a lie then he will be expelled from school and if he told the truth then he still is expelled from school.

What can a student say to prevent his being expelled from school?

If you read clockwise, you can form a word by inserting three missing letters in the picture given below. Can you do it?

What does this rebus mean?

O
N
C
E
TIME

What is the fewest number of coins that would be required in order to make sure each and every coin touches exactly three other coins?

What kind of tree can you carry in your hand?

A train leaves from point A for point B at 80 mph. After half an hour, another train leaves from point B for point A at 60 mph.

Which of the trains will be farther from point A when they meet ?

Complete the table series riddle by finding the number that can replace "??".

A chess tournament is taking place on knock-out terms (the one who loses the match is out of the game).
(a) If 10 matches are played in total, how many players participated?
(b) If 20 players took part in the tournament, how many matches were played?