Puzzle 2
What number is …
… one half of one third of one quarter of 360?
Puzzle Copyright © Kevin Stone
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Hint
Try working backwards.
Answer
15.
Reasoning
One quarter of 360 is 90.
One third of 90 is 30.
One half of 30 is 15.
Puzzle 3
A 'complete' word is a word in which every letter, in turn, can be replaced by another to form a new word.
For example, RUG is a complete word because:
-ug = hug
r-g = rig
ru- = run
How many of the following words are not complete words? Proper nouns and names are not allowed.
team
cost
flew
ward
fail
rook
soft
most
lamp
load
Puzzle Copyright © Kevin Stone
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Hint
Another example, PEN is a complete word because:
-en = ten
p-n = pin
pe- = pea
Answer
Three of the words are not complete: flew, rook, lamp.
Reasoning
The remaining 7 words can be changed as follows:
team:
-eam = beam
t-am = tram
te-m = term
tea- = tear
cost:
-ost = host
c-st = cast
co-t = coat
cos- = cosy
flew:
-lew = blew
f-ew = ---- X
fl-w = flow
fle- = flex
ward:
-ard = card
w-rd = word
wa-d = wand
war- = warm
fail:
-ail = nail
f-il = foil
fa-l = fall
fai- = fair
rook:
-ook = book
r-ok = ---- X
ro-k = rock
roo- = roof
soft:
-oft = loft
s-ft = sift
so-t = sort
sof- = sofa
most:
-ost = cost
m-st = mast
mo-t = moat
mos- = moss
lamp:
-amp = damp
l-mp = lump
la-p = ---- X
lam- = lamb
Note that LARP is an uppercase acronym, and not in any of my word lists.
load:
-oad = road
l-ad = lead
lo-d = loud
loa- = loaf
Puzzle 4
In my money box, I found $36.80 made up of equal numbers of quarters, dimes, and nickels.
How many of each coin did I find?
Puzzle Copyright © Kevin Stone
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Hint
Remember that a quarter is 25c, a dime is 10c and a nickel is 5c.
Answer
92 of each coin.
Reasoning
There are an equal number of quarters, dimes and nickels, so we know that the answer must be a multiple of:
25c + 10c + 5c = 40c
and:
3680c ÷ 40c = 92 coins.
