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 Puzzle 201 Three people check into a hotel. They pay £30 to the manager and go to their room. The manager suddenly remembers that the room rate is £25 and gives £5 to the porter to return to the people. On the way to the room the porter reasons that £5 would be difficult to share among three people so they keep £2 and give £1 to each person. Now each person paid £10 and got back £1. So they paid £9 each, totalling £27. The porter has £2, totalling £29. Where is the missing £1? [Ref: ZVTU] Direct Link: www.brainbashers.com?ZVTU Hint: Be careful of what you're adding. Answer: We have to be careful what we are adding together. Originally, they paid £30, they each received back £1, they now have only paid £27. Of this £27, £25 went to the manager for the room and £2 went to the porter. Puzzle 202 The results for a recent Chess tournament between five close rivals is described below: Dave finished before Adam. Eileen finished after Betty. Adam finished before Charles. Eileen finished after Dave. Betty finished before Adam. Dave finished after Betty. Charles finished before Eileen. Who finished where? [Ref: ZJWJ] Copyright © Kevin Stone Direct Link: www.brainbashers.com?ZJWJ Hint: Try writing each statement as 'finished before'. Answer: Betty won, then Dave, Adam, Charles and Eileen. By placing the person who finished higher to the left we have: 1. Dave finished before Adam         Dave    > Adam 2. Eileen finished after Betty       Betty   > Eileen 3. Adam finished before Charles      Adam    > Charles 4. Eileen finished after Dave        Dave    > Eileen 5. Betty finished before Adam        Betty   > Adam 6. Dave finished after Betty         Betty   > Dave 7. Charles finished before Eileen    Charles > Eileen From 1 and 3:    Dave > Adam > Charles Adding 7:    Dave > Adam > Charles > Eileen Adding 6:    Betty > Dave > Adam > Charles > Eileen Which is the final placing for all of the players, and can be double checked with the remaining clues. Puzzle 203 What word comes next: jangled febrifuge marbles apricot mayflower jungle julienne Choose from: augment, elephant, autumn, juiciest. [Ref: ZTJK] Copyright © Kevin Stone Direct Link: www.brainbashers.com?ZTJK Hint: Just look at the first few characters of each word. Answer: augment. The first three letters are the same as the first three letters of the months in order. Puzzle 204 What is the next number in the sequence: 32 35 40 44 52 112 ==?== [Ref: ZGLU] Copyright © Kevin Stone Direct Link: www.brainbashers.com?ZGLU Hint: 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   (as required)

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