    Random Puzzles  Puzzle 17 Can you complete this sentence using words which are anagrams of each other? At the school recently, only the ==?== students could solve the ==?== equation. [Puzzle Code = ZCFT] Copyright © Kevin Stone    Direct Link: www.brainbashers.com?ZCFT Hint: Both words begin with the letter B. Answer: Brainy and binary. Puzzle 18 A rich aristocrat decided that he would give every man 45 dollars and every woman 60 dollars. Only one ninth of the men and only one twelfth of the women collected their dues. Can you tell me how much money the aristocrat spent if there were 3552 people in total? [Puzzle Code = ZJPL] Copyright © Kevin Stone    Direct Link: www.brainbashers.com?ZJPL Hint: It doesn't actually matter how many men or women there were. Answer: 17,760 dollars. If there were M men, then there were (3552 - M) women. So one ninth of the men each received 45 dollars and one twelve of the women each received 60 dollars. So the total received was:= 45 x 1 x M  +  60 x  1 x (3552 - M)        -              --        9              12 Simplify the two fractions by dividing the 45 by 9, and the 60 by 12 respectively. = 5 x M + 5 x (3552 - M) = 5M + 17760 - 5M = 17760 Puzzle 19 Can you find a five digit number... ...whose digits add to 18 and whose product is 210 and the digits increase from left to right in the number? [Puzzle Code = ZQIZ] Copyright © Kevin Stone    Direct Link: www.brainbashers.com?ZQIZ Hint: Break down 210 into its factors. Answer: 12357. Since 210 = 2 x 3 x 5 x 7, 12357 is the only way to get a 5-digit number, in ascending order. Puzzle 20 What number comes next in this sequence: 1 4 8 13 21 30 36 ==?== [Puzzle Code = ZOYR] Copyright © Kevin Stone    Direct Link: www.brainbashers.com?ZOYR Hint: Try writing the numbers out as letters. Answer: 45. Each term increases by the number of letters in the previous term, 36 >> thirtysix >> 9 letters >> 45.      