Puzzle 13
Some months have 30 days, some have 31, but how many have 28 days?
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Puzzle 14
Below you will find 10 well-known six-letter words, with only their endings remaining.
Can you find the words?
---jos
---icy
---uld
---bts
---nda
---phy
---may
---ese
---mth
---axy
Puzzle Copyright © Kevin Stone
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Hints
The first letters of the words are: B, P, S, D, A, T, D, C, W, G.
Answers
---jos = banjos
---icy = policy
---uld = should
---bts = doubts
---nda = agenda
---phy = trophy
---may = dismay
---ese = cheese
---mth = warmth
---axy = galaxy
Puzzle 15
Using all of the letters A to Z, each once only, complete these common words. There are currently 2 different answers, can you find them both?
ap--e
b-a-e
bo--d
-an-c
-ro-e
--ell
-ra-y
bu-c-
-o-ra
-umb-
s-ua-
lo--l
g-es-
Puzzle Copyright © Kevin Stone
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Hint
The 4th word begins with the letter M.
Answers
ap--e = apple (PL)
b-a-e = brake (RK)
bo--d = boxed (XE)
-an-c = manic (MI)
-ro-e = froze (FZ)
--ell = dwell (DW)
-ra-y = gravy (GV)
bu-c- = bunch (NH)
-o-ra = cobra (CB)
-umb- = jumbo (JO)
s-ua- = squat (QT)
lo--l = loyal (YA)
g-es- = guess (US)
Alternative Answers
Apple, brake, boxed, manic, froze, swell, gravy, bunch, cobra, jumbo, squad, loyal, guest.
Can you find another?
Puzzle 16
Can you find three consecutive odd numbers that …
… total 7,644,585 when multiplied together?
Puzzle Copyright © Kevin Stone
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Hint
Try starting with the cube root of the number.
Answer
195 x 197 x 199.
Reasoning
Since we're after three numbers that multiply together, a good place to start is the cube root of 7,644,585, which is roughly 196.99.
Let's try dividing by the closest odd number to 196.99:
7644585 ÷ 197 = 38805
We're now after whole divisors of 38,805, so trying either odd number either side of 197 might work.
Trying either 195 or 199 gives the answer.
Double-Checking
195 x 197 x 199 = 7,644,585
Note
Trying the closest odd number to the cube root always works, and the other two numbers are the odd numbers either side.
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