PUZZLE #1Mr. Smith went to a shop yesterday where he spent half of his money within 30 minutes. After spending his money he had the same amount (number) of cents as he had before in dollars and he possessed half as many dollars as he had before in cents. How much money did he spend?ANSWER #1 (click to enlarge): -------------------------------------------------------------------PUZZLE #2Mr. McGuire asked a police-officer: "Could you please tell me what time it is?" Officer Clany who was known to like mathematics answered: "If you add 1/4 of the time from midnight up to now to 1/2 of the time from now to midnight you have the exact time. So what time is it?ANSWER #2 (click to enlarge): -----------------------------------------------------------------PUZZLE #32, 6, 30, 260, ____ANSWER #3N^n+n..------------------------------------------------------------------PUZZLE #412, 35, 711, 1317, 1923, 2931, _____ANSWER #4Each member contains two sets of prime numbers, consecutively.-----------------------------------------------------------------------PUZZLE #5more than one answer. I'm looking for a perfect answer, though (Also a solid answer):4, 6, 8, 12, ____ANSWER #5Number of faces of Platonic solids in the order tetrahedron, cube, octahedron, dodecahedron, icosahedron.---------------------------------------------------------------------PUZZLE #61, A, 13, 1C, 25, ____ANSWER #6The formula is: A+9=B, B+9=C... (only in Hexadecimal which is base 16).--------------------------------------------------------------------PUZZLE #71, 4, 36, 576, 14400, _________ANSWER #7N!^2, N+1!^2...---------------------------------------------------------------PUZZLE #80, 1, 1.585, 2, 2.322, 2.585, 2.807, 3, 3.170, 3.322, _____HINT: A SLIDE RULE WOULD HELPANSWER: #82 (log n) = 1,2,3,4,etc---------------------------------------------------------------PUZZLE # 9#:1 :: Matrix : _____ANSWER: #9THE IDENTITY MATRIX, WHICH IS EQUAL TO ONE.A THREE COLUMN IDENTITY MATRIX:100010001--------------------------------------------------------------------------------------------------------------------------------------Hose puzzle:Large hose rate=1/10 pool per hourSmall hose rate=1/15 pool per hourTwo large + one small rate= 3/30 + 3/30 + 2/30 = 8/30 = 4/15 pool per hourTime required = 15/4 hours or 3 3/4 hours or 3 hours and 45 minutes.