Puzzle 17
My 6, 7, 3 is a tear to a newspaper.
My 5, 4, 1 is damper than moist.
My 1, 7, 6, 4 is to become weary.
My 5, 7, 6, 9 helps electricity to flow.
My 8, 10, 2 is an attempt at this puzzle.
My whole could have been used to create this puzzle.
Puzzle Copyright © Kevin Stone
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Hint
The first letters of the words are: R, W, T, W, T.
Answer
Typewriter.
Rip, wet, tire, wire, try.
Puzzle 18
Can you find every occurrence of the word AUGUST that appears in this grid (horizontally, vertically, or diagonally)?
The hint will reveal the number of times it occurs, but where are they?
Note: this puzzle is not interactive, and the letters cannot be selected.
Puzzle Copyright © Kevin Stone
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Hint
The word AUGUST appears 36 times.
Answer
The word AUGUST appears 36 times.
Puzzle 19
I recently went to the shop and purchased 4 items.
Three of the items cost:
$1.50
$3.00
$4.00
There was quite a long queue, and as I was quite bored, I was playing with my pocket calculator while I waited.
Very curiously, the 4 prices added to the same number as I got when I multiplied the 4 prices together.
What was the price of the 4th item?
Puzzle Copyright © Kevin Stone
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Hint
What do the 3 numbers add to, and multiply to, so far?
Answer
$0.50.
Reasoning
The three prices add to 1.50 + 3.00 + 4.00 = 8.50.
The three prices multiply to 1.50 x 3.00 x 4.00 = 18.00.
You might be able to see that adding another 0.50 will take the total to 9.00, and multiplying by another 0.50 will take the product to 9.00.
The answer can also be found using algebra. If we call the missing price P, we have:
1.50 + 3.00 + 4.00 + P = 1.50 x 3.00 x 4.00 x P
8.50 + P = 18.00 x P
8.50 = 18.00 x P − P
8.50 = 17.00 x P
8.50 ÷ 17.00 = P
P = 0.50.
Puzzle 20
Can you find three consecutive prime numbers …
… that equal 409,457 when multiplied together?
Puzzle Copyright © Kevin Stone
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Hint
The cube root of the given number is a good starting point.
Answer
71, 73, 79.
Reasoning
The cube root of 409,457 is around 74.
The closest consecutive prime numbers to 74 are: 61, 67, 71, 73, 79, 83, 89, 97.
Using a calculator, it is quickly seen that the answer can only be found using 71, 73 and 79.
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