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 Puzzle 553 James and Steve were busily emptying their book shelves from one room to another. James on his own could have cleared the room in 18 hours. Steve also would take 18 hours. Unfortunately, John was moving the books back into the first room from the second. He could fill the first room in 36 hours. How long will it take the three of them to complete the task? [Ref: ZTUW] © Kevin Stone Direct Link: www.brainbashers.com?ZTUW Hint: How many rooms could James clear in 36 hours? Answer: 12 hours. In 36 hours James can clear 2 rooms, Steve can also clear 2 rooms, whilst John would fill 1 room. So 2 + 2 - 1 = 3 rooms in 36 hours. Which is 12 hours for a single room. Alternatively: James and Steve each clear 1/18 of the room in 1 hour, but John is filling 1/36 of the room in one hour. So in one hour we have 1/18 + 1/18 - 1/36 = 1/12. So it takes 12 hours to complete the task. Puzzle 554 What two letters come next in this sequence: A E F H I K L M ==?== ==?== [Ref: ZMQQ] Direct Link: www.brainbashers.com?ZMQQ Hint: Try writing the letters. Answer: N T. These are the letters that only require straight lines to form them. Puzzle 555 As part of an entry test into BrainBashers academy a special test was devised. 50 applicants were placed into a darkened room, each with a coloured baseball cap upon their head. These baseball caps came in two colours, red and green, however, no applicant knew the colour of their own cap. The applicants were not allowed to communicate in any way. Their task was to assemble outside, in a line, with those wearing red caps on one side and those wearing green on the other. How did this achieve this? [Ref: ZWUP] Direct Link: www.brainbashers.com?ZWUP Hint: This requires a little bit of logical thinking. Answer: The first two out stood anywhere they liked. The next applicant looked at the line so far, if all of the caps were the same colour, they stood at either end of the line. Otherwise they stood at the position where the colours of the caps changed from red to green. Puzzle 556 This multiplication contains the numbers 1-9. Can you complete it?  ***   3* x ---- **** [Ref: ZXJD] © Kevin Stone Direct Link: www.brainbashers.com?ZXJD Hint: The top number is 186. Answer: 186 x 39 = 7254.

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