Puzzle 2
What are the next five letters in this sequence:
HDSOAW
HDHAGF
ATKHAATKM
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Hint
From common children's song.
Answer
CPHTA.
From:
Humpty Dumpty sat on a wall.
Humpty Dumpty had a great fall.
All the king's horses and all the king's men
Couldn't put Humpty together again.
Puzzle 3
A coin collector decides to divide his coin collection between his children.
The eldest gets 1 /2 of the collection, the next gets 1 /4 of the collection, the next gets 1 /5 of the collection, and the youngest gets the remaining 49 coins.
How many coins are in the collection?
Puzzle Copyright © Kevin Stone
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Hint
What do the fractions add up to?
Answer
There are 980 coins in the collection.
Reasoning
Using fractions:
1 /2 + 1 /4 + 1 /5 = 19 /20
The remaining 1 /20 is 49 coins.
Therefore, the 20 /20 must equal 20 lots of 49 = 980.
Alternative Reasoning
Using percentages:
50% + 25% + 20% = 95%
The remaining 5% is 49 coins.
If 5% is 49 coins, 10% is 98 coins, 100% is 980 coins.
Double-Checking
1 /2 of 980 is 490
1 /4 of 980 is 245
1 /5 of 980 is 196
and the remaining 49 coins.
And 490 + 245 + 196 + 49 = 980.
Puzzle 4
What letter comes next in this sequence:
y · y · h · l · y · e · y · t · ?
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Hint
This is a well-known sequence.
Answer
R.
Reasoning
The last letter of September.
y = January
y = February
h = March
l = April
y = May
e = June
y = July
t = August
r = September
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