What three letter word best completes the below words?
[Ref: ZKMP] © Kevin Stone
Hint: The word begins with the letter A.
I was recently given a new watch for my birthday.
However, as usual with my presents, it was quite useless as it loses 6 minutes every hour.
I set it using my friend's accurate watch at midnight and it now shows 10.39am.
I know that the watch stopped 21 minutes ago so what is the correct time now?
[Ref: ZFEW] © Kevin Stone
Hint: For every real hour, how many watch minutes pass?
Since the watch is losing 6 minutes every hour, for every real hour that has passed, the watch will only show 54 minutes (i.e. for every 54 clock minutes, 60 real minutes have passed)
Since the watch shows 10:39am we know:
10:39am = (10 x 60) + 39 = 639 watch minutes
for every 54 watch minutes, 60 real minutes have passed:
(639 ÷ 54) x 60 = 710 real minutes
and converting this to hours:
710 minutes = 11 hours 50 minutes
the watch stopped 21 minutes ago, so the current time is:
Gib is to llams as nepo is to desolc as pu is to ==?==
[Ref: ZHCM] © Kevin Stone
Hint: Do the words make sense when read another way?
Opposites reversed: big, small: open, closed: up, down.
There are a few ways of making twenty-four using just three identical digits, 8 + 8 + 8 is one way, can you find any of the others?
Hint: There is a very simple one using 2's.
22 + 2
(3 ^ 3) - 3
(3 ^ 3 = 3 to the power of 3 = 3 x 3 x 3)
4! - 4 + 4
(4! = 4 factorial = 4 x 3 x 2 x 1)
The local library decided to hand out some of its old books to its 1400 borrowers.
To each of the female borrowers they gave 6 books and to each male borrower they gave 4 books.
If only half of the females in town and three quarters of the males in town accepted the books, how many books were given away?
[Ref: ZNXG] © Kevin Stone
Hint: It didn't matter how many male or female borrowers there were.
Answer: 4200 books.
It doesn't matter how many female borrowers there were as 1/2 of the females accepted the books, and those that did accepted 6 books, which is 3 books per female on average.
Similarly it doesn't matter how many male borrowers there were as 3/4 of the males accepted 4 books each, which is again 3 books each.
So both the males and females accepted, on average, 3 books each. And 1400 * 3 = 4200. QED.