Puzzle 165
Place a horizontal or a vertical line into every blank square.
Each number tells you the total length of the lines connected to that square.
Puzzle Copyright © Johan de Ruiter
workings
hint
answer
print
www.brainbashers.com
/puzzle/zflf
share
Hint
Start by looking at the 6 and 4 on the top row.
Answer
Puzzle 166
Unluckily, last week I lost my measuring tape. It was unlucky as I had to measure Billy's toy box.
Luckily though I could remember that the top had an area of 720 square inches, the side was 800 square inches, and the end was 360 square inches.
What were the true dimensions of the toy box?
Puzzle Copyright © Kevin Stone
workings
hint
answer
print
www.brainbashers.com
/puzzle/zwsk
share
Hint
A little algebra might help.
Answer
Width=40, height=20, depth=18.
Reasoning
If we call the height H, the width W and the depth D we have:
H x W = 800
H = 800 ÷ W (1)
W x D = 720
W = 720 ÷ D (2)
H x D = 360
H = 360 ÷ D (3)
Using (1) and (3) we have:
800 360
——— = ———
W D
800 x D = 360 x W
Using (2):
800 x D = 360 x 720
———
D
800 x D2 = 259,200
D2 = 324
D = 18
Using (2), W = 40.
Using (1), H = 20.
Puzzle 167
Can you add one Z to the following word to form another valid English word:
LEG
You may change the order of the letters.
Puzzle Copyright © Kevin Stone
workings
hint
answer
print
www.brainbashers.com
/puzzle/zews
share
Hint
Add 'one Z', literally.
Answer
Lozenge.
Reasoning
'one Z' + LEG = ONE Z LEG = ONEZLEG > LOZENGE.
Puzzle 168
I was quite bored yesterday, so I visited my local animal sanctuary.
To pass the time, I counted 612 legs.
This came from an equal number of beetles, spiders, and mice.
Can you work out the total number of animals I counted?
Puzzle Copyright © Kevin Stone
workings
hint
answer
print
www.brainbashers.com
/puzzle/zpeq
share
Hint
A beetle has six legs, a spider has eight legs, and a mouse has four legs.
Answer
102 animals, 34 of each.
Reasoning
As there are the same number of each animal, for every beetle, spider, and mouse counted, there are a total of 18 legs.
612 ÷ 18 = 34 of each animal.
Which gives a total of 34 x 3 = 102 animals.
