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Difficulty: MediumPuzzle 1053

Puzzle IconDuring the recent BrainBashers cipher convention, a binary code contest took place.

The contest consisted of a binary code transmission where the spaces between the letters were missing and there was no punctuation.

Each letter of the alphabet was translated into its binary equivalent based on its position in the alphabet.

Can you find 10 girl's names?

A = 1      B = 10     C = 11
D = 100    E = 101    F = 110
G = 111    H = 1000   I = 1001
J = 1010   K = 1011   L = 1100
M = 1101   N = 1110   O = 1111
P = 10000  Q = 10001  R = 10010
S = 10011  T = 10100  U = 10101
V = 10110  W = 10111  X = 11000
Y = 11001  Z = 11010

1100111000110010111001

100011110111011000

1100110101100101011110

111010011111111100101

11101111101001

1001011110001011100

101011111001010011110

1101011001001010111001

1001111110100100101

1001011110100110011101

[Ref: ZJVX] © Kevin Stone

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Difficulty: EasyPuzzle 1054

Student Accommodation

Alex, Bret, Chris, Derek, Eddie, Fred, Greg, Harold, and John are nine students who live in a three storey building, with three rooms on each floor. A room in the West wing, one in the centre, and one in the East wing. If you look directly at the building, the left side is West and the right side is East. Each student is assigned exactly one room. Can you find where each of their rooms is:

1. Harold does not live on the bottom floor.

2. Fred lives directly above John and directly next to Bret (who lives in the West wing).

3. Eddie lives in the East wing and one floor higher than Fred.

4. Derek lives directly above Fred.

5. Greg lives directly above Chris.

[Ref: ZQJZ] © Chris Joh.

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Direct Link: www.brainbashers.com?ZQJZ


Difficulty: MediumPuzzle 1055

Here is a proof that 2 = 0:

assume x=2                                X = 2
multiply by x on both sides             X*X = 2X
subtract 4 from both sides          X*X - 4 = 2X - 4
factorise                        (X+2)(X-2) = 2(X-2)
divide by (x-2) on both sides           X+2 = 2
subtract 2 from both sides                X = 0

We started with X = 2 but we have showed that X = 0 at the same time! Where does the logic fail?

[Ref: ZBHF]

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Direct Link: www.brainbashers.com?ZBHF


Difficulty: EasyPuzzle 1056

I travelled from London to Glasgow last week at 60 miles per hour, I had filled my petrol tank just before I left, so it was full with 25 gallons.

Unfortunately, my petrol tank sprang a leak immediately and I only managed to drive 300 miles before I ran out of petrol.

My car does 30 miles per gallon, how fast was I losing petrol through the hole?

[Ref: ZFAU] © Kevin Stone

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Direct Link: www.brainbashers.com?ZFAU

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