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During 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
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.
West Centre East
==== ====== ====
Harold Derek Eddie
Bret Fred Greg
Alex John Chris
Puzzle 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)(X2) = 2(X2)
divide by (x2) 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]
Direct Link: www.brainbashers.com?ZBHF
Hint:
Answer: On line 5 we are dividing by (X  2), but X = 2 so we are actually dividing by 0, which is not allowed as the resulting answer is meaningless.
Puzzle 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?
I drove 300 miles at 30 miles per gallon, so I used 10 gallons. Which means I lost the other 15 gallons.
I drove the 300 miles at 60mph, which took me 5 hours.
So I lost 15 gallons of petrol in 5 hours = 3 gallons per hour.
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