Puzzle 5
Can you find three consecutive prime numbers …
… which total 190,747 when multiplied together?
Puzzle Copyright © Kevin Stone
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Hint
Try finding the cube root of 190,747.
Answer
53, 59, and 61.
Reasoning
Start by taking the cube root of 190,747, which is approximately 57.56.
The next highest prime number is 59:
190,747 ÷ 59 = 3,233
Let's try the next prime number, which is 61:
3,233 ÷ 61 = 53
53, 59, and 61, are all prime, and are consecutive, so this is the answer.
Double-Checking
53 x 59 x 61 = 190,747
Puzzle 6
Nursery Playground – All Logic Puzzles
At the local nursery school, I was chatting to my daughter's friends and noticed a number of things.
Frankie has mousy coloured hair and the girl with black hair was wearing a green t-shirt.
Lucy is not blonde and Lauren does not have brown hair, Chloe was wearing a blue t-shirt.
The blonde girl was not wearing red and Lauren was not wearing green.
I can't remember who was wearing a yellow t-shirt.
Can you work out the colours of the t-shirt and hair for each child?
Puzzle Copyright © Kevin Stone
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Hint
Chloe has brown hair.
Answer
Name T-shirt Hair
Frankie red mousy
Lauren yellow blonde
Lucy green black
Chloe blue brown
Puzzle 7
Using the letters AAEEHHLLLLMMNNOOSSTT complete this grid. The grid reads the same across as down.
Note: this puzzle is not interactive, and the squares cannot be clicked.
Puzzle Copyright © Kevin Stone
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Hint
The bottom word begins with M.
Answer
C
H
A
S
M
H
E
L
L
O
A
L
I
E
N
S
L
E
P
T
M
O
N
T
H
Puzzle 8
How many days before 17th August is it, if …
… 50 days before then, it was four times as many days since March 30th ?
Puzzle Copyright © Kevin Stone
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Hint
How many days separate the two dates?
Answer
18 days.
Reasoning
There are 140 days between the two dates, and these 140 days are split in the following way:
4 x Answer | 50 days | Answer
We already know about 50 days, so we have to split the remaining 90 days into the ratio 4:1, which is 72:18.
72 days | 50 days | 18 days
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