My first is in kendo, but not in squash.
My second is in hurdles, and in hunting.
My third is in bowman, and in bowling.
My fourth is in cycling, and in golf.
My fifth is in flying, and not in swimming.
My last is in running, and not in dancing.
My whole is a sport.
Reasoning
The 1st letter can only be: D E K N O
The 2nd letter can only be: H U
The 3rd letter can only be: B N O W
The 4th letter can only be: G L
The 5th letter can only be: F L Y
The 6th letter can only be: R U
?
Puzzle 2
The legendary BrainBashers calendar has had a small problem.
Here is a listing showing the number of days in each month:
January 73
February 83
March 51
April 52
May 31
June 42
July 41
August 63
September ?
Using the same rules, how many days are in September?
Reasoning
Stage 5's clue tells us that 150m was left. So the distance left at the start of Stage 4 must have been:
Dist4 = Dist4 + 75 + 150
—————
2
Which simplifies to give Dist4 = 450m.
Stage 3's clue tells us that 450m was one quarter of the remaining distance, so Dist3 = 1,800m.
Stage 2's clue tells us that the distance at the start of Stage 2 was:
Dist2 = Dist2 + 35 + 1800
—————
2
Which simplifies to give Dist2 = 3,670m.
Stage 1's clue tells us that 3,670m was half the overall distance, which means the entire ride was 7,340m.
Double-Checking
Starting with 7,340m:
Stage 1: cycled 3,670m, leaving 3,670m
Stage 2: cycled 1,870m, leaving 1,800m
Stage 3: cycled 1,350m, leaving 450m
Stage 4: cycled 300m, leaving 150m
Stage 5: cycled 150m, leaving 0m
?
Puzzle 4
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.