Puzzle 585
Which letter is missing from this sequence:
B C D G P T V
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Hint
Try saying the letters out loud.
Answer
E.
These are letters which all sound the same, bee, see, dee, ee, etc. All depending on how you pronounce Z (zee or zed), you can include this.
Puzzle 586
Which letter is missing from this sequence:
B C E G K Q S W
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Hint
Convert the letters to positions in the alphabet.
Answer
M.
Reasoning
These are letters that occupy prime number positions in the alphabet:
B = 2
C = 3
E = 5
G = 7
K = 11
M = 13 *
Q = 17
S = 19
W = 23
Puzzle 587
During a recent school trip to the seaside, I sat at the rear of the bus.
I noticed a strange thing: Laura, Jesse and Wendy were all sitting on the left side of the bus.
Even more curious was the fact that Steven, John and Danielle were all sitting on the right side of the bus.
On which side was James sitting?
Puzzle Copyright © Kevin Stone
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Hint
Look at the lengths of their names.
Answer
James was sitting on the left.
Children with an even number of letters in their name sat on the right.
Puzzle 588
If I buy a melon and a coconut, the cost will be £1.19.
If I buy a melon and a pineapple, the cost will be £1.45.
If I buy a coconut and a pineapple, the cost will be £1.40.
What are the individual prices?
Puzzle Copyright © Kevin Stone
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Hint
A little algebra might help.
Answer
Pineapple = 83p, coconut = 57p, melon = 62p.
Reasoning
If we assign the letters P, C and M to the fruits, and work in pence we have:
(1) M + C = 119
(2) M + P = 145
(3) C + P = 140
Using (2) – (1) we have:
(4) P – C = 26
And (3) + (4) gives:
2P = 166
P = 83
This can then be substituted back into (2) and (3).
