Puzzle 57
Starting with WARM, change one letter at a time, and end with COOL?
Each change leaves the other letters in their original places and must result in a proper word.
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Hint
One answer changes Warm to Worm.
Answer
WARM, WORM, WORK, CORK, COOK, COOL
or
WARM, WORM, WORD, WOOD, WOOL, COOL.
Puzzle 58
Which of the shapes is identical to the first one?
There might be more than one.
Puzzle Copyright © Robert A. Hartmann
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Hint
Try to rotate them around in your head, but watch out for mirror images.
Puzzle 59
My local greengrocer is a would-be mathematician.
She likes to arrange the apples in nice rows.
When she lays the apples in rows of 3, she has one left over.
And, when she lays them in rows of 5, she also has one left over.
Remarkably, she also has one left over when she arranges them in rows of 7 and 9.
But 11 seems to be the magic number, because in rows of 11 there are no apples left over.
How many apples does she have?
Puzzle Copyright © Kevin Stone
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Hint
There are fewer than 1,000 apples.
Answer
946 apples.
Reasoning
We know that (answer – 1) is divisible by 3, 5, 7, and 9.
If it's divisible by 9 then it's automatically divisible by 3.
So the number must be a multiple of 5, 7, and 9.
[5 x 7 x 9 = 315]
Since these numbers share no other common factors, we know that the answer must be a multiple of 315 (+1).
Let's try 1 x 315 + 1: 316 ÷ 11 = 28.73, and this doesn't work.
Let's try 2 x 315 + 1: 631 ÷ 11 = 57.36, and this doesn't work.
Let's try 3 x 315 + 1: 946 ÷ 11 = 86, and this works, and is the answer.
Puzzle 60
Which letters come next in this sequence:
NE US RN ER RS ?
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Answer
TH.
The last two letters of the planets in reverse order from the sun.
