Monday, 29 July 2013

Band around the Earth - Solution

The circumference of the Earth is approximately 40,000 kilometers, and someone has just made a metal band that circles the Earth, touching the ground at all locations.

You come along at night, as a practical joke, and add just 10 meters to its length (one hundredth of one kilometer !) 

It is now one four-millionth longer, and sits magically just above the ground at all locations

How far has it risen ... could a flea, a rabbit or even a man squeeze underneath it?

Our Solution:

Use the formula Circumference = 2 × pi × Radius

Before: Original Circumference = 2 × pi × R
After: Original Circumference + 10m = 2 × pi × (R + Gap)

Subtracting the two:

10m = 2 × pi × Gap

So, the Gap = 10m / (2 × pi) = 1.6m approximately

So a man could fit under it easily (though he might bump his head)


Note: Adding 10m to the circumference of ANY circle increases the radius by 10m / (2 × pi), no matter what the original circumference was.

Who Works Where Puzzle - Solution

Alex, Betty, Carol, Dan, Earl, Fay, George and Harry are eight employees of an organization 

They work in three departments: Personnel, Administration and Marketing with not more than three of them in any department.

Each of them has a different choice of sports from Football, Cricket, Volleyball, Badminton, Lawn Tennis, Basketball, Hockey and Table Tennis not necessarily in the same order.

Dan works in Administration and does not like either Football or Cricket.
Fay works in Personnel with only Alex who likes Table Tennis.
Earl and Harry do not work in the same department as Dan.
Carol likes Hockey and does not work in Marketing.
George does not work in Administration and does not like either Cricket or Badminton.
One of those who work in Administration likes Football.
The one who likes Volleyball works in Personnel.
None of those who work in Administration likes either Badminton or Lawn Tennis.
Harry does not like Cricket.

Who are the employees who work in the Administration Department?

In which Department does Earl work?

Our Solution:

Betty, Carol and Dan work in Administration department.

Earl works in the Marketing department.

Who Stole the Ginger Cookie from the Cookie Jar? Puzzle - Solution

There are five people - Holly, Cameron, Julieanne, Alex and Jackie.

Each one stole a special cookie of their favorite brand which was kept in a jar.
Each person ate it in a particular place and drank their flavored milk with it.

* Jackie is next to the person who eats on the lounge.
* Arnotts brand cookies are kept in a round jar.
* The person beside Cameron eats cookies at a table.
* The person who eats Oreos eats in the closet
* Julieanne likes Paradise brand cookies
* The person who drinks banana milk is in the middle and owns a tall jar
* The first person likes vanilla milk
* Holly is the person on the far right
* The person who eats in the bedroom drinks strawberry milk
* The person who owns the tall jar is next to the person who owns square jar
* Cameron drinks caramel milk
* The person who likes the Dick Smith brand is next to the person who likes the Coles brand
* The person who likes the No Frills brand is next to the person who owns a round jar
* The person who stole the 100s and 1000s cookies is next to the person who owns the brass jar
* The second person from the right eats No Frills brand and is next to the person who owns a round jar
* The first person on the left stole the choc chip cookies
* The person who eats Dick Smith brand is next to the person who eats Paradise brand
* The second from the left has a brass jar
* Julieanne is to the right of the person who drinks strawberry milk
* The person who drinks chocolate milk does it at the table
* The Paradise brand cookies are eaten in the kitchen
* The person who eats Tiny Teddies doesn't keep them in a round jar
* The Coles brand cookies are kept in a mini sized jar

A Ginger Cookie was also stolen. Who stole it?

Our Solution:

Holly did!

See below for full solution:

PersonAlexJackieJulieanneCameronHolly
FlavorVanillaStrawberryBananaCaramelChocolate
Cookie JarMiniBrassTallSquareRound
BrandColesDick SmithParadiseNo FrillsArnotts
CookieChoc chipTiny Teddies100s and 1000sOreosGinger
PlaceLoungeBedroomKitchenClosetTable