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
Hint
This is a tricky question related to number bases.
Answer
200.
Each number in the sequence is a representation of the number 32 in different bases, starting with base 10.
Base 10: 32 = 3 x 10^1 + 2 x 10^0 = 3 x 10 + 2 = 32
Base 9 : 35 = 3 x 9^1 + 5 x 9^0 = 3 x 9 + 5 = 32
Base 8 : 40 = 4 x 8^1 + 0 x 8^0 = 4 x 8 + 0 = 32
Base 7 : 44 = 4 x 7^1 + 4 x 7^0 = 4 x 7 + 4 = 32
Base 6 : 52 = 5 x 6^1 + 2 x 6^0 = 5 x 6 + 2 = 32
Base 5 : 112 = 1 x 5^2 + 1 x 5^1 + 2 x 5^0 = 1 x 25 + 1 x 5 + 2 = 32
Base 4 : 200 = 2 x 4^2 + 0 x 4^1 + 0 x 4^0 = 2 x 16 + 0 + 0 = 32
?
Puzzle 432
Yesterday I was asked to buy some stamps.
Stamps, in the land of BrainBashers, are available in 2p, 7p, 10p, 15p and 20p denominations.
For three types of stamp, I was asked to buy five of each.
For the other two types of stamps, I was asked to buy six of each.
Unfortunately, I forgot which I was supposed to buy five of and which to buy six of.
I had been given £3.00, which just happened to be the exact money required, so the shopkeeper was able to work out what stamps I needed.
