Alex is a keen dog admirer and over the years has had a number of dogs.
Alex has had an Alsatian, a Dalmatian, a Poodle, and a Great Dane, but not necessarily in that order.
Alex had Jamie first.The Dalmatian was an adored pet before the Great Dane.Sammy, the Alsatian, was the second dog Alex loved.Whitney was owned before the Poodle.Jimmy was not a Great Dane.
Can you match the dogs to their names and find the order in which Alex had them?
Answer # Name Breed
1 Jamie Dalmatian
2 Sammy Alsatian
3 Whitney Great Dane
4 Jimmy Poodle
Reasoning
(Clue 1) Jamie was first, and (Clue 3) Sammy the Alsatian was second: # Name Breed
1 Jamie
2 Sammy Alsatian
3
4
(Clue 4) Whitney was owned before the poodle, leaving Jimmy last: # Name Breed
1 Jamie
2 Sammy Alsatian
3 Whitney
4 Jimmy Poodle
(Clue 2) the Dalmatian was before the Great Dane: # Name Breed
1 Jamie Dalmatian
2 Sammy Alsatian
3 Whitney Great Dane
4 Jimmy Poodle
??
Puzzle 2
In each of these sentences, can you replace the missing number.
The number is written as a word (e.g. five, twenty-four, thirty-three), and each sentence is correct after the replacement.
This sentence contains ? letters, one hyphen, two commas and a full stop. Interestingly, this sentence contains ? letters, one hyphen, three commas and the final full stop. Finally, this sentence contains ? letters, one hyphen, three commas and one full stop.
Answers This sentence contains sixty-seven letters, one hyphen, two commas and a full stop.Interestingly, this sentence contains eighty-nine letters, one hyphen, three commas and the final full stop.Finally, this sentence contains seventy-nine letters, one hyphen, three commas and one full stop.
A million grains of sand is a heap. If we remove one grain of sand from this heap, we will still have a heap.
We can now keep repeating (2) until we only have a single grain of sand remaining.
Is this a heap? Clearly not. But what went wrong with our thinking?
This is called the Sorites paradox (soros being Greek for "heap") and is a classic paradox that has no real answer.
Both (1) and (2) are true, and we can indeed keep removing one grain of sand until we have a single grain remaining. If we remove one more grain, we're left with nothing, is this still a heap?
When does the heap become a non-heap?
?
Puzzle 4
How many squares, of any size, are on a board divided up into 6 squares by 6 squares?
