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1. X = Y let x=y
2. X*X = XY multiply by x on both sides
3. X*X  Y*Y = XY  Y*Y subtract y*y from both sides
4. (X+Y)(XY) = Y(XY) factorise
5. (X+Y) = Y divide by (xy) on both sides
6. Y+Y = Y replace x with y
7. 2Y = Y factorise
8. 2 = 1 divide by y on both sides
Where lies the flaw in the logic?
[Ref: ZIHG]
Direct Link: www.brainbashers.com?ZIHG
Hint:
Answer: On line 4 we are dividing both sides by (XY), now, since X=Y, this is 0. We are not allowed to divide by zero. This leads to a meaningless conclusion.
Puzzle 6
Unluckily, last week I lost my measuring tape. It was unlucky as I had to measure Daniel's toy box.
Luckily though I could remember that the top had an area of 720 square inches, the side was 800 square inches and the end was 360 square inches.
This is the only word which cannot be spelled using a calculator.
For example, enter 376616 into an oldfashioned calculator and look at the number upside down, you can read giggle.
The other words can be spelled using, 7105, 57738, 4506, 3704 and 5355378.
Puzzle 8
My BrainBashers electronic world atlas has developed another fault, I did a listing of miles from England to particular countries and here is the result:
Australia 500 miles
Peru 8,000 miles
India 4,500 miles
Scotland 9,500 miles
Take the alphabetic position of the first letter, half and then multiply by 1000.
F = 6, halved = 3, * 1000 = 3,000.
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