Puzzle 5
Can you find the country hidden in the following sentence:
After falling off the roof at work, Dale's pain was relieved by an ice compress.
Puzzle Copyright © Kevin Stone
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Hint
The country spans more than one word.
Answer
Spain.
After falling off the roof at work, Dale'S PAIN was relived by an ice compress.
Puzzle 6
Below, you will find 10 seven-letter words, with only their endings remaining.
Can you find the words?
----igy
----aoh
----erg
----ynx
----lth
----mox
----ovy
----esh
----awe
----ipt
Puzzle Copyright © Kevin Stone
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Hints
The first letters of the words are: P, P, I, P, S, F, A, R, O, R.
Answers
----igy = prodigy
----aoh = pharaoh
----erg = iceberg
----ynx = pharynx
----lth = stealth
----mox = flummox
----ovy = anchovy
----esh = refresh
----awe = overawe
----ipt = receipt
Puzzle 7
I am compiling the new BrainBashers world almanac, and it now contains lots more pages.
I know that it takes 333 digits to print the page numbers in sequence.
How many numbered pages does the book have?
How many times does the number 3 appear?
Puzzle Copyright © Kevin Stone
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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.
Puzzle 8
I have a jar of sweets.
There are 234 red, 26 blue, 67 green and 63 yellow sweets.
What chance do I have of picking a blue one with my eyes shut?
Puzzle Copyright © Kevin Stone
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Hint
How many sweets in total are there?
Answer
1 in 15.
Reasoning
In total, there are 390 sweets in the jar, and 26 of them are blue.
So the chance of picking blue is 26 in 390 = 1 in 15 = 6.66%.