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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 299
Take a set of three letters from the left column, and a set of three letters from the right column and merge them together, without changing the order of the letters in each half (matching sets might not be currently on the same row).
Example 1: wmb + oat and oat + wmb both equal wombat.
Example 2: rbt + abi and abi + rbt both equal rabbit.
Can you find the six animals that have been split in half?
cyo aru
wls dne
ear fee
oky ote
rrt jar
agu bve