New_Scientist_11_2_2019

(Ben Green) #1

52 | New Scientist | 2 November 2019


The back pages Puzzles


Quick crossword #44 Set by Richard Smyth Quick quiz #27 Puzzle set by Chris Healey


#28 A well-timed nap


I keep an analogue clock by my bed.
One afternoon, I had a nap. When I drifted
off to sleep, the minute hand was pointing
directly at one of the 12 numbers on the
clock face, and the number of minutes
past the hour was exactly the same as
the angle (in degrees) between the
hour and minute hands.

Later that day, when I woke up, I noticed
the same was true again.

How long had I been asleep?

Answer next week

#27 The goblin game
Solution

To have the best chance of winning,
Beth should place her goblin on square 6.

The average score on a die numbered 1 to
6 is 3.5, so in the long run, the chance of a
counter landing on a square is going to be
1 in 3.5, which is about 29 per cent. This
will be the chance of the counter landing
on all of the high numbers on the board.

However, the odds are different in the early
stages. Squares 1 to 6 can all be reached
with a single roll of the die (a 16 per cent
chance), but square 2 can also be reached
by rolling 1 and 1, for example. By the time
you get to square 6, there are numerous
ways of reaching it, and the odds of landing
on 6 work out to be about 36 per cent.

Squares 7 and above can only be reached
by landing on one of squares 1 to 6 first,
which lowers the odds. Indeed, the odds
of landing on a number higher than 6 are
always below 30 per cent.

1 Which is the longest of
the cranial nerves emerging
from the human brain,
transmitting signals to
and from organs including
the heart, lungs and gut?

2 Four of the 1 2 cranial
nerves deal with the
workings of just one
organ. Which?

3 The vestibulocochlear
nerve transmits information
from the ear to the brain
concerning hearing and
which other sense?

4 Which is the largest
of all the cranial nerves,
primarily concerned with
transmitting sensory and
motor information to and
from the mouth and face?

5 Crosstalk between
this nerve and the optic
nerve is thought to cause
what response to sudden
exposure to sunlight, found
in up to a quarter of people?

Answers below

Cryptic
Crossword #17
Answers

ACROSS 1  Lambda, 4  Specie,
9  Reactor,  10 Prong, 11  Noses,
12  Dissect, 13  Smithsonian,
18  Eclipse, 20  Stove, 22  Rhino,
23  Cordite, 24  Convex,
25  Amoeba

DOWN 1  Larynx, 2  Means,
3  Dataset, 5  Pepys, 6  Cholera,
7  Eighty, 8  Iridescence, 14  Million,
15  Nostrum, 16  Metric,
17  Oedema, 19  Phone,
21  Oxide

Quick quiz #27
Answers

The vagus nerve 1

The eye 2

Balance 3

The trigeminal nerve 4

Sneezing 5

 

 

 

  

  

  

 

 

ACROSS
1 Shoreline (8)
5 Presence of urea
in the blood (6)
10 Openings that may be
blind or through (5)

(^11) this (9)
12 Language invented
by L. L. Zamenhof (9)
13 Erasable, programmable
read-only memory (5)
14 Forest-savannah ,
transitory ecoregion (6)
15 Hydrocarbon pipeline (3,4)
18 Palpebrae (7)
20 Berry-like cell cluster (6)
22 Compound such as
tetrabromofluorescein,
used as a stain (5)
24 Flightless bird that
might be southern
or North Island (5,4)
25
number, 5i
for example (9)
26 Two acyl groups
bound to N (5)
27 Jellyfish life stage (6)
28 Video game such as
Mortal Kombat^ (4-2-2)
Answers and the next cryptic crossword next week.
DOWN
1 Tom , satirist and
mathematician (6)
2 Communication device
patented in 1876 (9)
3 Imbalance arising
where a data error affects
comparison groups to
an unequal degree (11,4)
4 As (7)
6 Annie Easley or Mary
Sherman Morgan,
for example (6,9)
7 Sid
, inventor of the
video game Civilization (5)
8 Sb (8)
9 Rectangle (6)
16 Al (9)
17 Se (8)
19 Metro or U-bahn (6)
20 Painkiller (7)
21 Bilinear interpolation (6)
23 The ___ , 310-metre
London skyscraper (5)
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