John E. Franklin wrote:

28)  I get 44 times at right angles.  I was too lazy, I only counted 22 from 6am to 6pm.
What is the answer for a seven-hour clock and a fourteen hour day??  Do you know Ganesh?  I don't.
The reason I ask is because with a 12 hour clock the 9 and the 3 are at right angles to the 12 at the top, so
the answer is less than 12 x 2 for 12 hours, but a seven hour clock would be weird, or a 5 hour clock too.
Hmmm....  I'll have to ponder this more later...

And I only see 42 times accounted for! I must have lost count around the dial.

ganesh wrote:

32. A, B, C, D, E, and F are sitting on six chairs placed around a round table, not necessarily in that order. A is between D and F. C is opposite D and D and E are not sitting next to each other. Which of these pairs are sitting next to each other?
(i) A and B (ii) C and E (iii) B and F (iv) A and C

My answer

oh my! I cannot believe no one answered (10)!!! It is so easy!

Last edited by landof+ (2007-03-30 22:03:41)

Maybe I just missed it, but I never did see an answer to #5.
I don't really see anything that would exclude the possibility that the two numbers are the same number, so... 0 and 0 would be the smallest.

If you insist that these numbers are not only arbitrary whole numbers, but also disctinct, then I guess 1 and 0 would be the smallest.

Am I understanding the question here??

I would guess that question 5 wants you to find two distinct natural numbers, as allowing them to be equal or 0 would trivialise the question.

The answer to 4 is slightly wrong as well. The 3rd customer doesn't get the right amount of oranges, and the question also states that she never cuts an orange in half. You're nearly there though, I think you just made a slight mistake there and it carried forward.

good job Landof, I don't know what I was thinkin, if she started with 3 and did all the stuff the problem says she did, she would still have half an orange left.

Last edited by Identity (2007-05-31 18:11:46)

Outstanding, Identity and Jane Fairfax, for that simple and elegant proof!!!

Last edited by TheDude (2007-11-13 03:35:19)

51. There are two candles. Both are of same height but different diameters. One burns for 4 hours and the other burns for 3 hours. Both of them are lit at the same time. After what time would one be double the height of the other?