It is always ahead of me yet I can never see it. What is it?

There are hundred red gems and hundred blue gems. The blue gems are priceless while the red gems equal wastage. You have two sacks one labeled Heads and the other Tails. You have to distribute the gems as you want in the two sacks. Then a coin will be flipped and you will be asked to pick up a gem randomly from the corresponding sacks.

How will you distribute the gems between the sacks so that the odds of picking a Blue gem are maximum?

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

I always drive my customer away.

Who am I?

Client Dempsey living in one of the East Coast states of the U.S. was talking to Landon Donovan, who was living in the West Coast state of the U.S.

Dempsey: What time is it?
Donovan: Wow, It is the same time here.

How is this possible?

A pond had 60 fish, out of which, all but 20 died.
How many fishes are now present in that pond?

What are the 50th, 63rd and 100th numbers in the sequence below?
4, 5, 8, 8, 9, 9, 12, 13, 13, 13, 17, 18, ...

Count the number of lines in the image below ?

There are two candles. Both will only burn exactly for an hour. How will you use these two candles to measure forty-five minutes?

How can you leave a room with two legs and return with six legs?