We usually ask how much earth there is in a hole, which of course there is none!
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Puzzle 2
Can you find the country hidden in the following paragraph:
Once upon a time in a land far away, lived a hamster. Every morning, very early, the hamster had to go into the forest and forage for food. Every morning, he would come back hungry and miserable.
Once upon a time in a land far away, lived a hamster. Every morning, very early, the hamster had TO GO into the forest and forage for food. Every morning, he would come back hungry and miserable.
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Puzzle 3
At a recent motorsport gathering, four proud owners were gathered around the silver sports car, each discussing their pride and joy.
Alex was overheard bragging about his brand new Stellar. The person whose surname was Smith went to great lengths to explain to Billie the virtues of his blue Lunar. The person whose surname was Wilshaw, and Dale, were already good friends. The person whose surname was Richards showed everyone a recent photo of his red Orbital. The person whose surname was Stone listened intently while Charlie kept talking about his green Galactic.
Who owns which car?
Reasoning
By (2) the Lunar was Blue, and was owned by Mr Smith.
By (4) the Orbital was Red, and was owned by Mr Richards.
By (5) the Galactic was Green, and was owned by Charlie.
Therefore the Stellar was silver, and by (1) was owned by Alex. Smith Blue Lunar RichardsRed Orbital Charlie Green Galactic Alex Silver Stellar
By (2), Mr Smith wasn't called Billie, so it must have been Billie Richards, and Dale Smith.
By (5) Mr Stone wasn't called Charlie, so it must have been Charlie Wilshaw, and Alex Stone. Dale Smith Blue Lunar Billie RichardsRed Orbital Charlie Wilshaw Green Galactic Alex Stone Silver Stellar
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Puzzle 4
In the following sum, the digits 0 to 9 have all been used, and the top row's digits add to 9.
Knowing that O = Odd, and E = Even (zero is even), can you determine each digit?
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.
