Ant on a Cube

An ant is placed at one corner of a wire frame in the shape
of a cube. At the diagonally opposite corner is a piece of sugar.
The ant crawls along the all the wires of the frame searching for
the sugar. At each of the 8 corners the ant randomly chooses one of
the 3 wires to follow next (including the one it just traveled)

What is the expected number of edges the Ant will traverse until it
reaches the sugar?

What if the Ant never doubles back on the wire it just crossed?

How many people are there?

How many people must be there if all but 2 are named Smith, all but 2 are named Jones, and all but 2 are named Wilson?

The wine bottle puzzle

I have two 10 litre bottles full of wine and 2 other empty
bottles of 5 and 4 litres. I want to fill 3 litres in each
empty bottles without the help of any additional object and without
pouring out or wasting a single drop of wine.

Fake Note Puzzle

Ram and Mohan are friends, having their own shop, side by side.
Once Shyam came to Ram's shop, asked for a water bottle, that
costs 20Rs. Shyam gave 100 Rs. note, but Ram didnt have change.
Ram gave the same 100Rs. note to Mohan and took cange from
him. Ram kept 20Rs from that change an return remaining amount
and a water bottle to Shyam.
Next day Mohan complained to Ram that the 100Rs. note gave him
and took change was fake note, then Ram gave him a real 100Rs.
note and take the fake 100Rs. note back.

what is the total loss to Ram in the whole transaction.
{profit/loss on water bottle neglected}

What is the speed of the car ?

A person drives with constant speed and after some time he sees a
milestone with 2 digits. Then travels for 1 hour and sees the same 2
digits in reverse order. 1 hour later he sees that the milestone
has the same 2 digits with a 0 between them. What is the speed of
the car?

Rope Puzzle - Rajeev is trapped !!!

Rajeev is trapped atop a building 200m high. He has with him a rope
150m long. There is a hook at the top where he stands. Looking
down, he notices that midway between him and the ground,at a
height of 100m, there is a ledge with another hook. In his pocket
lies a Swiss knife.

How might he be able to come down using the rope, the two hooks
and the Swiss knife?

A revolver with 2 bullets

You have been taken hostage by terrorists. Terrorist has a revolver with 6 empty chambers. He now loads the revolver with 2 bullets in front of you. These two bullets are kept next to each other (contiguously) in the 2 adjacent chambers, the terrorist now spins the barrel so that now you don't know what is location of bullets in chamber. He keep the revolver against your head and pulls the trigger. But its lucky day for you. It was the empty chamber. Now terrorist gives a slight chance to get free. He gives you a choice whether he should spin the barrel first then pull the trigger again.. or should just simply pull the trigger again ? If you get lucky again, terrorists will let you go..otherwise ..!!!

So what would you prefer ? Would you want him to spin the barrel first then shoot or just shoot without spinning the barrel ?