Puzzle 5
How many squares, of any size, are on a board divided up into 6 squares by 6 squares?
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Hint
How many 1x1 squares are there?
Answer
91 squares.
Reasoning
Squares of size:
1 x 1 = 36
2 x 2 = 25
3 x 3 = 16
4 x 4 = 9
5 x 5 = 4
6 x 6 = 1
Total = 36 + 25 + 16 + 9 + 4 + 1 = 91.
Puzzle 6
A large freshwater reservoir has two types of drainage system. Small pipes and large pipes.
6 large pipes, on their own, can drain the reservoir in 12 hours.
6 small pipes, on their own, can drain the reservoir in 18 hours.
How long will 6 large pipes and 6 small pipes take to drain the reservoir?
Puzzle Copyright © Kevin Stone
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Hint
How many reservoirs can each drain in 36 hours?
Answer
7 hours and 12 minutes.
Reasoning
We can use a time that 12 hours and 18 hours both fit in to, in 36 hours:
6 large pipes can drain 3 reservoirs.
6 small pipes can drain 2 reservoirs.
Therefore, together, 6 large and 6 small pipes can drain 5 reservoirs.
36 hours ÷ 5 = 7.2 hours for one reservoir.
7.2 hours = 7 hours and 12 minutes for one reservoir.
Puzzle 7
How should this word be pronounced:
GHOTI
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Share link: https://www.brainbashers.com/puzzle/zvbm
Hint
Break the word down in this way: GH-O-TI.
Answer
Fish!
Reasoning
The GH as in ENOUGH = F.
The O as in WOMEN = I.
The TI as in MOTION = SH.
Puzzle 8
Four friends were discussing the colours of the flowers they had for the local flower show, from this year, and last.
There were four different colours: red, green, blue and yellow.
No-one entered the same colour flower twice.
The entrant who currently has the green flowers, used to have yellow.
Betty, who is not Mrs Long, currently has the blue flowers.
Mrs Kipper, who now has yellow flowers, used to have blue.
Neither Mrs Annie Ford, nor Mrs Jester, have ever owned yellow flowers.
Cybil is not Mrs Kipper.
Diane and Annie have entered four different colours in total.
Can you determine the full names, and colours of the flowers the ladies currently have, and previously had?
Puzzle Copyright © Kevin Stone
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Hint
Start with Betty, Mrs Kipper, and Ada, as these are three different people.
Answer
Now Last
Annie Ford Red Green
Betty Jester Blue Red
Cybil Long Green Yellow
Diane Kipper Yellow Blue
Reasoning
By (3), Betty currently has Blue flowers.
Now Last
Betty Blue
By (4), Mrs Kipper currently has Yellow flowers, and used to have Blue.
Now Last
Betty Blue
Kipper Yellow Blue
By (5), we know Annie Ford's name.
Now Last
Betty Blue
Kipper Yellow Blue
Annie Ford
By (6), Mrs Kipper must be Diane, and the remaining person's name is Cybil.
Now Last
Betty Blue
Diane Kipper Yellow Blue
Annie Ford
Cybil
By (2), whoever currently has the Green flowers used to have Yellow, but by (5) this can't be Annie Ford, so this must be Cybil. Which means that Annie must currently have the Red flowers.
Now Last
Betty Blue
Diane Kipper Yellow Blue
Annie Ford Red
Cybil Green Yellow
By (3), Betty isn't Mrs Long, so must be Mrs Jester. Therefore Cybil must be Mrs Long.
Now Last
Betty Jester Blue
Diane Kipper Yellow Blue
Annie Ford Red
Cybil Long Green Yellow
By (1), Annie Ford must have previously had Green, and Betty Jester had Red.
Now Last
Betty Jester Blue Red
Diane Kipper Yellow Blue
Annie Ford Red Green
Cybil Long Green Yellow
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