Hint
The answer is 4 digits long, so what must G equal?
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 + D has to be over 9, which means that G = 1.
B + E = I, is even + odd = odd, which means that we can't have a carry from C + F (otherwise it would have been even + odd + 1, which is even).
The 1 has already gone, so the smallest possible value for either C or F is 3, which means that the other can't be 7 or 9 (otherwise we'd have a carry).
Therefore, C and F are 3 and 5, but we don't know which is which. But we do now know that J = 8.
A + D = H, is even + even = even, which means that we can't have a carry from B + E. Therefore, E can't be 9, as this would force a carry. So E = 7.
I is the only remaining odd number, so I = 9.
Which means that B = 2.
Neither A nor D can be 0 (otherwise we would have two of the same digit). So, H = 0.
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, A can't be 6, so A = 4, making C = 3.
This makes the sum 423 + 675 = 1098.
??
Puzzle 18
Which one of these sentences is the odd one out?
Sam wanted another newt. Every artistic giraffe likes elephants. Badgers rapidly excavate a mound. Wild rabbits enjoy nature. Dale understood cute kittens. Casual restless aardvarks need exercise.
Reasoning
The initial letters of the words spell BREAM, a fish. The other sentences all spell birds. SWAN = Sam wanted another newt. EAGLE = Every artistic giraffe likes elephants. * BREAM = Badgers rapidly excavate a mound. WREN = Wild rabbits enjoy nature. DUCK = Dale understood cute kittens. CRANE = Casual restless aardvarks need exercise.
?
Puzzle 19
Place letters into the grid such that every row, column, and 2x2 block has letters (in any order) that form a common word. Each letter is only used once, and no letter is repeated in the rows / cols / blocks.
Letters allowed: T U R K E Y
O
C
S
L
D
A
K
B
S
I
Note: this puzzle is not interactive, and the squares cannot be clicked.
Alex, Bret, Chris, Derek, Eddie, Fred, Greg, Harold, and John are nine students who live in a three storey building, with three rooms on each floor. A room in the West wing, one in the centre, and one in the East wing. If you look directly at the building, the left side is West and the right side is East. Each student is assigned exactly one room. Can you find where each of their rooms is:
Harold does not live on the bottom floor. Fred lives directly above John and directly next to Bret (who lives in the West wing). Eddie lives in the East wing and one floor higher than Fred. Derek lives directly above Fred. Greg lives directly above Chris.
Answer
From the highest floor to lowest we have:
West Centre East
==== ====== ====
Harold Derek Eddie
Bret Fred Greg
Alex John Chris
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