Random Puzzles 

Workings

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

Workings

Hint
The sequence involves doubling in some way.

Answer
75.

Alternately double plus one, double minus one.

Workings

Hint
Try to rotate them around in your head, but watch out for mirror images.

Answer
B.

Workings

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.