A N MENSA -Publications THE ULTIMATE CHALLENGE THIS IS A CARLTON BOOK This edition published by Barnes & Noble Inc., by arrangement with Carlton Books Ltd. 1995 Barnes & Noble Books Text copyright 0 1995 Mensa Publications Design copyright @ 1995 by Carlton Books Umited ISBN 1-56619-977-8 Printed in Italy MENSA Publications THE ULTIMATE CHALLENGE Robert Allen BARNES &NOBLE BOO KS E CONTENTS Introduction 6 Level 1 Puzzles 8 Level 1 Answers 73 Your Puzzle Notes 80 Gargantua Mind Maze 81 Gargantua Mind Maze Answers 95 Level 2 Puzzles 97 Level 2 Answers 180 Your Puzzle Notes 192 Mazes 193 Mazes Answers 201 Level 3 Puzzles 209 Level 3 Answers 289 Your Puzzle Notes 304 supremacy. So althc ultimate challenge, 0 I N T R 0 8 O-CT I ON -1 ̧ THE ULTIMATE MENTAL CHALLENGE If you like puzzles you will like Mensa, a society that exists entirely for people who are adept at solving the knottiest problems. If you would like to take the Mensa test and meet people of like mind, then write to us at British Mensa Limited, Mensa House, St John's Square, Wolverhampton, WV2 4AH England. I should like to thank all those who helped with this book. In particular I should like to mention my wife Doris, our friend Josie Fulton, and puzzler David Ballheimer, who edits my outpourings without mercy and saves me from making a fool of myself in public. ROBERT ALLEN Editorial Director, Mensa Publications June, 1995 0 ----- -- -- - *P"PEDWIw1D 4 Ow fI D WI4- D Pl,. 0 W A IW DI4 D Iw q w 'DIE bE I--,,- wq E Iw w wIE E-" E wbw E, E IIwiw 4l O w ,, WM lid 41 W Pw EPEIWAmI aEPE w E wp W A&-A I MI - - ---- ,- Dl -l - - -- EI~I A B C D 2 3 5 8 13 21 34? 1PUZZLEII Can you find the number which comes next in this sequence? See answer 81 PUZZLE Which of these patterns fits into the blank section? See answer 25 IV- Vl"1 PUZZLE 1 Can you correct this equation by moving one match? See answer 28 0 AB C D IPUZZLEM Which of the following cubes cannot be made from this layout? See answer 15 PUZZLE [I Can you replace the question mark with a number to meet the conditions of the wheel? See answer 58 0 E O LEVEL 1 PUZZLE These tiles, when placed in right order, will form a square in which each horizontal line is identical with one vertical line. Can you successfully form the square? See answer 33 0 LEVEL I ULFCHANIH VYNBYMXU WIFO!VCU JCEY MCFPYL ML.CHA GIOHN LUCHCYL WBYPS WBUMY AYILAYNIQH UHUWIMNCU IPUZLE [ Here are the coded names of some places in or around Washington, D.C. Try to unravel them. See answer 62 9 34 5 4 24 7 A 1 2 I 6 1 S2 PUZZLE [I This diagram was constructed according to a certain logic. Can you work out which number should replace the question mark? See answer 104 2 36 1 B 10 7 C I PUZZLE •I Can you find the number to go at the bottom of triangle D? See answer 87 0 1 3 2 32 D L• A A 6 3 E M A K PUZZLE Can you find out the relationship of the letters and numbers in this square and find out which number should replace the question mark? See answer 35 12 2 9 7 6 C D [PUZZLE M Can you work out how the numbers in the triangles are related and find the missing number? See answer 39 0 LEVEL 1 7 8 5 A 4 e 8 PUZZLE celebrate her sixth birthday, Samantha wanted a tree in her parents' garden. e even remembered to water it in. Her mother was rious. She said that he tree belonged to ir and Samantha had business planting it. DO IWT hy? 7 Why? See answer 41 LEVEL I VKHEOHC THRICE EWDIL T3TEEKC TGNfEE EEOHTG NBE$I CAIREN (Russian) (Germanu) (Irish) (French) (Geman) (Norwegian) (French) The above are all anagrams of the namies of famous playrigihts. The nationality is given in brackets to help you. See answer 114 PUZZLEM Can you find the odd ball out? See answer 122 1 2 PUZZLE 1 PUZZLE [0 Can you work out the time on the blank clock face? See answer 83 In this diagram, starting from the top of the diamond and working in a clockwise direction, the four basic mathematical signs (+, -, x, -) have been omitted. Your task is to restore them so that the calculation, with answer in the middle, is correct. See answer 6 0 w LEVEL I I ,. - 01- __O_ -*I.0-4 1 /1 IPUZZLEM Can you find the symbol that will balance the last set of scales? See answer 101 PUZZLE s The diagram represents an old-fashioned telephone dial with letters as well as numbers. Below is a list of numbers representing ten American States. Can you use the diagram to decode them? See answer 1 A. 1143256531 B. 72917 C. 52161741 D. 141741 E. 32135 F. 562355 G. 83633531 H. 2456321 I. 15456125 J. 1630551 I I H I 1 * t *f__MM_ C is to C LEVEL 1 A is to B as D E F G PUZZLE See answer 127 0 1 r r m I I/ f I 1\ A D [PUZZLE Can you find the odd face out? See answer 12 Ask G B • C 4: E F PUZZLE , Which matchstick man, G, H or L, would carry on the sequence? See answer 49 A curious logic governs the numbers in these circles. Can you discover what it is and then work out what the missing number should be? See answer 9 0 0% C PUZZLE•M h LEVEL 1 8 6 2 I Ir.n LL rn I PUZZLE These tiles, when placed in right order, will form a square in which each horizontal line is identical with one vertical line. Can you successfully form the square? See answer 51 The above clocks move in a certain pattern. Can you work out the time on the last clock? See answer 100 The letters and numbers in this square follow a pattern. Can you work out which number represents the question mark? See answer 19 0 I 2 E 6 8 K 15 9 20 D 26 23 U [PUZZLE PUZZLEM I b Wlen '/4. jj'ý -I m ff 3 5 214 M 00 IPUZZLEM Can you find out which symbol would balance the third scale? See answer 96 2 5 9 14 20 [PUZZLE Can you complete this series? See answer 106 0