Puzzle 501
Which are there more of:
… rolls in a dozen baker's dozen
or
… hours in a week?
Puzzle Copyright © Kevin Stone
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Hint
A baker's dozen is usually 13.
Answer
Hours in a week.
Reasoning
A dozen is 12, but a baker's dozen is usually 13.
So a dozen (12) baker's dozen (13) = 12 x 13 = 156.
There are 24 hours in a day, and 7 days in a week.
So there are 24 x 7 hours in a week = 168.
Puzzle 502
If a farmer buys chicken feed for 57c per tonne, pig feed for $1.52 per tonne and cattle feed for 43c per tonne. The feed can only be purchased by the tonne, and part tonnes aren't sold.
How much of each would he have if they had 100 tonnes for $100?
Puzzle Copyright © Kevin Stone
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Answer
49 tonnes of chicken feed, 46 tonnes of pig feed and 5 tonnes of cattle feed.
Puzzle 503
What number comes next in this sequence:
986888
724864
143224
==??==
Puzzle Copyright © Kevin Stone
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Hint
The answer involves multiplication (for example, 9 x 8 = 72).
Answer
468.
Reasoning
If we split each line in the following way:
98 68 88
72 48 64
14 32 24
Each new line is generated by multiplying the digits two at a time and writing the result below.
For example, 9 x 8 = 72, so 72 appears directly below 98.
And 7 x 2 = 14, so 14 appears directly below 72.
Double-Checking
9 x 8 = 72 and 7 x 2 = 14.
6 x 8 = 48 and 4 x 8 = 32.
8 x 8 = 64 and 6 x 4 = 24.
Puzzle 504
Which is larger, the number of seconds in a week …
… or the number of minutes in a year?
Puzzle Copyright © Kevin Stone
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Hint
There are 60 seconds in a minute, and 60 minutes in an hour.
Answer
Seconds in a week.
Reasoning
There are 60 x 60 x 24 x 7 = 604,800 seconds in a week.
There are 60 x 24 x 365 = 525,600 minutes in a (non-leap) year.
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