Puzzle 57
I have a jar of sweets.
There are 234 red, 26 blue, 67 green and 63 yellow sweets.
What chance do I have of picking a blue one with my eyes shut?
Puzzle Copyright © Kevin Stone
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Hint
How many sweets in total are there?
Answer
1 in 15.
Reasoning
In total, there are 390 sweets in the jar, and 26 of them are blue.
So the chance of picking blue is 26 in 390 = 1 in 15 = 6.66%.
Puzzle 59
Last week I decided to cycle to my Grandparents's house.
On the 1st day, I cycled half of the distance.
On the 2nd day, I cycled one half of the remaining distance.
On the 3rd day, I cycled three quarters of the remaining distance.
On the 4th day, I cycled 10 miles.
On the 5th day, I cycled two thirds of the remaining distance.
On the final day, I cycled the remaining 5 miles.
How far is it to my Grandparent's house?
Puzzle Copyright © Kevin Stone
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Hint
Try working backwards.
Answer
400 miles.
Reasoning
Working backwards:
On the final day I cycled the remaining 5 miles
On Day 5, I started with 15 miles (as I cycled two thirds, leaving 5 miles).
On Day 4, I started with 25 miles (as I cycled 10 miles).
On Day 3, I started with 100 miles (as I cycled three quarters, leaving 25 miles).
On Day 2, I started with 200 miles (as I cycled half, leaving 100 miles).
On Day 1, I started with 400 miles (as I cycled half, leaving 200 miles).
Puzzle 60
What number comes next in this sequence:
7 · 8 · 5 · 5 · 3 · 4 · 4 · ?
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Hint
The answer involves months of the year.
Answer
6.
The number of letters each month has, starting with January, therefore August has 6 letters.
