The Trainee Technician

A 120 wire cable has been laid firmly underground between two telephone exchanges located 10km apart. Unfortunately after the cable was laid it was discovered that the individual wires are not labeled. There is no visual way of knowing which wire is which and thus connections at either end is not immediately possible.

You are a trainee technician and your boss has asked you to identify and label the wires at both ends without ripping it all up. You have no transport and only a battery and light bulb to test continuity. You do have tape and pen for labeling the wires. What is the shortest distance in kilometers you will need to walk to correctly identify and label each wire?

Philosopher's Clock

One absentminded ancient philosopher forgot to wind up his only clock in the house. He had no radio, TV, telephone, internet, or any other means for telling time. So he traveled on foot to his friend’s place few miles down the straight desert road. He stayed at his friend’s house for the night and when he came back home, he knew how to set his clock. How did he know?

The 4 Weight Problem

A merchant had a 40 kg measuring weight that broke into four
pieces as the result of a fall. When the pieces were subsequently
weighed, it was found that the weight of each piece was a whole
number of kilograms and that the four pieces could be used to
weigh every integral weight between 1 and 40 kg. What were the
weight of the pieces.

Note:Weights may be places in either pan of the balance.

101 Hotel Rooms

The Hilton Hotel reserves all its 101 rooms for travelers and each
guest is assigned a room in advance. The first guest arrives but
has forgotten his room number. The hotel clerk, who does not have
access to the reservations book, randomly puts him in one of
the rooms. As the rest of the guests arrive they are given their
reserved room if available or if already taken, are given a random
empty room. What is the chance that the 101st guest gets
her reserved room?

If 7 - 3 = 10124 ...

If
7 - 3 = 10124
6 + 3 = 3279
5 – 2 = 763
11 + 2 = 92613

Then,
15 - 3 =?

Tweleve statements Puzzle

Which of the statements in the box are true?

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?