Puzzle 153
Below you will find well-known eight-letter words, with only their endings remaining.
Can you find the words?
-----rue
-----jar
-----dil
-----any
-----pox
-----gth
-----elf
-----oia
-----ige
-----hog
-----too
-----dix
-----fin
-----upt
Puzzle Copyright © Kevin Stone
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Hint
The first letters of the words are: C, N, D, M, S, S, Y, P, P, H, C, A, P, B.
Answers
-----rue = construe
-----jar = nightjar
-----dil = daffodil
-----any = mahogany or epiphany
-----pox = smallpox
-----gth = strength
-----elf = yourself
-----oia = paranoia
-----ige = prestige
-----hog = hedgehog
-----too = cockatoo
-----dix = appendix
-----fin = paraffin
-----upt = bankrupt
Puzzle 154
What number comes next in this sequence:
2 5 9 19 37 ?
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Hint
The sequence involves doubling in some way.
Answer
75.
Alternately double plus one, double minus one.
Puzzle 155
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 156
Alex and Billie have to empty all of the bookshelves in the library, and move the books into storage.
Alex, on her own, can empty the bookshelves in 18 hours.
Billie, on her own, can also empty the bookshelves in 18 hours.
Unfortunately, Drew likes to move the books from storage back onto the bookshelves, and she can refill the bookshelves in 36 hours.
How long will it take the three of them, working at the same time, to empty the bookshelves?
Puzzle Copyright © Kevin Stone
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Hint
How many rooms can Alex clear in 36 hours?
Answer
12 hours.
Reasoning
In 36 hours, Alex could empty 2 lots of bookshelves, Billie could also empty 2 lots of bookshelves, and Drew could refill 1 lot of bookshelves.
So, 2 + 2 – 1 = 3 lots of bookshelves in 36 hours. Which is 12 hours for one lot of bookshelves.
Alternative Reasoning
Alex and Billie can each empty 1 /18 of the bookshelves in 1 hour, but Drew will refill 1 /36 of the bookshelves in one hour.
So in one hour we have 1 /18 + 1 /18 – 1 /36 = 1 /12 .
So it would take 12 hours to empty the bookshelves.
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