This is a sequence of numbers that contain the letter O.
One, two, four, fourteen, twenty-one, twenty-two.
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Puzzle 6
A woman had three old coins: a silver dollar, a quarter, and a dime. Each coin was a little battered and had a piece missing. She found that exactly the same fraction had broken away from each coin.
What fraction of each was missing if the value of the remaining bits of coins was now exactly one dollar in total?
For this puzzle it can be assumed that 1⁄2 a coin is worth 1⁄2 of its value.
Hint
A dollar is 100 cents, a quarter is 25 cents and a dime is 10 cents.
Answer 7⁄27 of each coin was missing.
Reasoning
The original value of the three coins was 100 + 25 + 10 = 135 cents, and the new value was 100 cents.
Therefore, 35⁄135 = 7⁄27 of the original value has been removed.
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Puzzle 7
Can you find the country hidden in the following sentence:
A popular newspaper printed part of a page that pointed out that port officials use a pencil, not a pen, when they prepare paper updates to their port reports.
A popular newspaper printed part of a page that pointed out that port officials use a pencil, not a pen, when they prepare paPER Updates to their port reports.
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Puzzle 8
Imagine a bottle recycling skip, empty other than one lonely bottle.
Every hour, on the hour, people come and put bottles into the skip.
The first hour, at noon, one person came and put a bottle in.
One hour later, two people each placed a bottle into the skip.
An hour later, four people each placed a bottle into the skip.
This doubling of people continued until 11pm, when the skip was finally full.
