Hint
Think of the pages from 1 to 9, and then 10 to 99.
Answers There are 147 pages.The number 3 appears 35 times. Answer #1
For pages 1 to 9, there are 9 pages, which is 9 digits.
For pages 10 to 99, there are 90 pages, which is 180 digits.
This is a total so far of 189, therefore we require another 333 − 189 = 144 digits, which is another 144 ÷ 3 = 48 pages.
Taking us to 9 + 90 + 48 = 147 pages in total.
Answer #2
From page 1 to 147 we have 15 pages that end in 3:
3, 13, 23, …, 143
We also have the ten pages that start with 30:
30, 31, 32, …, 39
Plus the ten pages that start with 130:
130, 131, 132, …, 139
For a total of 15 + 10 + 10 = 35 number 3's.
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Puzzle 526
Below, 10 nine-letter words have been broken into chunks of three letters.
The chunks have been moved around, no chunk is used twice, and all of the chunks are used.
Can you determine what the 10 words are?
hol rec ant imp fer con
man dif ice pol acq htn
ort myt new air sag duc
dec lig kch ogy ing tan
uit ent gle tal tor ent
Hints
The first letters of the words are: A, C, D, D, I, L, M, N, P, R.
Answers
acq + uit + tal = acquittal
con + duc + tor = conductor
dec + kch + air = deckchair
dif + fer + ent = different
imp + ort + ant = important
lig + htn + ing = lightning
myt + hol + ogy = mythology
new + sag + ent = newsagent
pol + ice + man = policeman
rec + tan + gle = rectangle
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Puzzle 527
At the recent BrainBashers code-breaking convention, Billie Brisk won the speed contest.
The following sentence was deciphered in a record time of 123 seconds.
What was the well-known saying, and how has it been encrypted?
MOOT CYNA SKOO IOPS EHTL TORB YCBH
