Puzzle 81
What comes next in this sequence:
iron bromine uranium argon {?}
Puzzle Copyright © Kevin Stone
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Hint
The chemical symbol for iron is Fe.
Answer
Yttrium.
From the atomic element's symbols which are spelling February: Fe + Br + U + Ar + Y.
Puzzle 82
Using all of the letters A to Z, each once only, complete these common words:
-e--a
-ui-ar
--ick
-a-
bo-
-owe-
-on-ey
-el
ra-
---kage
--ll
mo--
-eap
-eep
-un
Puzzle Copyright © Kevin Stone
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Hint
The first word begins with the letter Z.
Answers
-e--a = zebra (ZBR)
-ui-ar = guitar (GT)
--ick = quick (QU)
-a- = sad (SD)
bo- = box (X)
-owe- = vowel (VL)
-on-ey = monkey (MK)
-el = eel (E)
ra- = ray (Y)
---kage = package (PAC)
--ll = will (WI)
mo-- = moon (ON)
-eap = heap (H)
-eep = jeep (J)
-un = fun (F)
There are at least 5 more answers, can you find another?
Zebra, guitar, quick, jam, box, vowel, donkey, eel, ray, package, will, moon, heap, seep, fun.
Zebra, guitar, quick, jaw, box, vowel, monkey, eel, ray, package, fill, moon, heap, deep, sun.
Zebra, guitar, quick, lay, box, vowed, monkey, eel, ran, package, will, mojo, heap, seep, fun.
Zebra, guitar, quick, way, box, vowel, monkey, eel, raj, package, sill, moon, heap, deep, fun.
Zebra, guitar, quick, say, box, vowed, monkey, eel, raj, package, hill, moon, leap, weep, fun.
Puzzle 83
In the following sum, the digits 0 to 9 have all been used.
O = Odd, E = Even (zero is even).
The top row's digits add to 9.
Can you determine each digit?
Puzzle Copyright © Kevin Stone
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Hint
The first digit in each row is even, so the first column can only be 2 + 8, 4 + 6, 4 + 8, 6 + 8 (either way around, and it must be a total over 9).
Answer
423 + 675 = 1098.
Reasoning
Remembering that:
even + even = even
odd + odd = even
even + odd = odd
To discuss individual letters, it's easiest to represent the sum as:
A B C
D E F +
————————
G H I J
A and D are both even, and can only be 2 + 8, 4 + 6, 4 + 8, 6 + 8 (either way around, and it must be a total over 9), so the carry can only be 1, so G = 1.
Since column 2 is even + odd = odd, there can be no carry from column 1 (since even + odd + 1 is always even). Therefore, neither C nor F (both odd) can be 7 or 9 (otherwise there would be a carry), so C and F are 3 and 5 (but we don't yet know which is which), therefore J = 8.
Because A + D is even there can't be a carry from column 2, therefore E can't be 9 as this would force a carry. Therefore, I = 9. So, B can't be 0. Therefore, H = 0.
The last remaining odd number makes E = 7. Making B = 2.
Therefore, A and D are 4 and 6 (but we don't yet know which is which).
Since the top row's digits have to add to 9 the top number must be 423.
This makes the sum 423 + 675 = 1098.
Puzzle 84
Train Spotting - Logic Puzzles
During a recent plane and train spotting contest, five eager entrants were lined up ready to be tested on their spotting ability. They had each spotted a number of planes (26, 86, 123, 174, 250) and a number of trains (5, 42, 45, 98, 105). From the clues below, can you determine what colour anorak each was wearing, their position, their age (21, 23, 31, 36, 40), and the number of trains and planes spotted?
Sam spotted 44 fewer trains than planes.
Glen was 36 years old.
The person on the far right was 8 years younger than Sam, and spotted 174 planes.
James was wearing a beige anorak and spotted 37 trains fewer than Sam.
The person who was wearing a green anorak, was 19 years younger than the person to the left of them.
Drew spotted 105 trains and 250 planes.
The person in the centre was 31 years old, was wearing a blue anorak, and spotted 42 trains.
Billie, who was on the far left, spotted 26 planes and spotted 72 trains more than planes.
The person who was wearing a red anorak, was 4 years older than Glen and was not next to the person wearing a blue anorak.
The person who was next to the 31-year-old but not next to the person who spotted 26 planes, was wearing an orange anorak, and spotted 45 trains.
Puzzle Copyrighted. Created by Kevin Stone using Brain Cell.
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Hint
Ray spotted the fewest trains.
Answer
1
Billie
red anorak
aged 40
26 planes
98 trains
2
Drew
green anorak
aged 21
250 planes
105 trains
3
Sam
blue anorak
aged 31
86 planes
42 trains
4
Glen
orange anorak
aged 36
123 planes
45 trains
5
James
beige anorak
aged 23
174 planes
5 trains
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