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Division by three (Posted on 2002-04-24) Difficulty: 2 of 5
What do you get as the result, and the remainder, if you divide eleven thousand eleven hundred and eleven by three?

See The Solution Submitted by levik    
Rating: 1.8333 (12 votes)

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re(10): the solution posted is WRONG!!!! | Comment 15 of 19 |
(In reply to re(9): the solution posted is WRONG!!!! by Gamer)

I agree that "and" has a very good use in separating a number from its fractional part as in "twenty and two tenths".

But in the above it is the word "tenths" that actually produces the fraction; the "and" is merely synonymous with "plus". If it were merely "twenty and two" it would be 22. I NEVER said one should say "twenty two tenths" for 20.2; what I did say was that the word "tenths" is necessary within "twenty and two tenths" to make it mean 20.2 rather than 22. "AND" MEANS PLUS and nothing more.

I also never advocated saying "one million and two hundred and thirty four thousand and five hundred and sixty seven and eighty nine hundredths". All I said was that IF someone said this, it is indeed, as you seem to agree, 1,234,567.89, rather than a continued fraction that I wouldn't know how to disassemble, but would be something like 1,000,000 + 200/1000 + 34,000/100,000/1000 ... (the extra thousand on the end for being a fraction within a larger fraction).

Another common usage for "and" in numeration is just after "hundred" before the tens and units position numerations. This is a very common usage, recognized by the dictionaries cited.

luvya's comment, which started the title of this thread, was that the solution is wrong, not that the locution in the puzzle itself was wrong. Given the locution in the question, 4037 is the correct solution.

Beyond that, the puzzle is certainly an odd locution that one would never use in real life, not because of the "and" but rather for the "eleven thousand" in conjunction with the "eleven hundred". This obviously was the gimmick to mislead and the whole idea of the puzzle. But given what was said in the puzzle, there's no indication that a fraction would be possible in the meaning of the dividend.
  Posted by Charlie on 2003-06-07 06:49:12

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