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?

A bag contains 64 balls of eight different colours. There are eight of each colour (including red). What is the least number you would have to pick, without looking, to be sure of selecting 3 red balls?

Things are just as they seem, right? Well, check again.
Can you count the number of tigers in this picture ?

What kind of band never plays music?

They do not possess flesh or feathers or scales or bone
But still, they are blessed with fingers and thumbs of their own.

What goes through cities and fields, but never moves?

Below the four parts have been reorganised. The four partitions are exactly the same in both arrangements. Why is there a hole?

When you stop to look, you can always see me. But if you try to touch me, you can never feel me. Although you walk towards me, I remain the same distance from you. What am I?

Fate has decided that you will only be pleased to meet me when you need me

Maybe that is why, when I am working, I start working

However annoying I may be to the regulars, the little ones are always inspired

I will always be waiting if you try to reach me

How many of you can guess my name, let me see

One of the leprechaun is missing if you see the two pictures attached to this question. Where did he go? When he comes back, do you know where has he been?