I have branches, but no fruit, trunk or leaves. What am I?

Can you find a number that lies one third of the distance between 1/3 and 2/3?

Find the Odd One Out?
84129
32418
47632
36119
67626
72927

Solve the puzzle by telling what does below picture means.

I have some blue and red sock in my drawer. I have a total of 4 socks. I pick 2 socks and the chance that I get a pair of red socks is 1/2.

What is the chance of picking a pair of blue socks?

You visit a home for specially-abled children on the occasion of Christmas where you meet with 50 children. You have a box of chocolates containing 50 chocolates exactly.

What if you were asked to one chocolate to each child in a manner that one chocolate still remains in the box? Is it possible?

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?

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?

What has six faces, but does not wear makeup, has twenty-one eyes, but cannot see?

There is something which is always coming but never arrives?