Puzzle 161
What three-letter word best completes these words?
c---on
he---
e---h
m---yr
qu---er
st---
Puzzle Copyright © Kevin Stone
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Hint
The word ends with the letter T.
Answer
Art.
c---on = carton
he--- = heart
e---h = earth
m---yr = martyr
qu---er = quarter
st--- = start
Puzzle 162
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
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Hint
Start by looking at the 6 and 4 on the top row.
Answer
Puzzle 163
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
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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 164
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
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Hint
Add 'one Z', literally.
Answer
Lozenge.
Reasoning
'one Z' + LEG = ONE Z LEG = ONEZLEG > LOZENGE.
