Mensa challenge - Robert Allen

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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 E CHALLENGE Robert Allen BARNES &NOBLE BOO KS 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 IN T R 0 8 O-CT I ON -1¸ supremacy. So althc ultimate challenge, 0 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 ----- -- -- - PUZZLE *P"PEDWIw1D fI 4 Ow D Which of these patterns fits into the blank section? WI4- D . Pl,. 0 W A IW DI4 D See answer 25 Iw qw bE 'DIE I--,,- wq E Iw w wIE E-" 4lE Owbw ,, w WM E, E41IIwiw lid W Pw EPEIWAmI aEPE w E wp - - ---- ,- Dl -l - - -- W A&-A I MI EI~I A B C D 2 3 5 8 13 21 34? IV- Vl"1 1PUZZLEII PUZZLE 1 Can you find the number which comes next Can you correct this equation by moving one match? in this sequence? See answer 28 See answer 81 0 AB O C D E 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 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 2 1 VYNBYMXU 1 S2 WIFO!VCU JCEY MCFPYL ML.CHA GIOHN LUCHCYL L• WBYPS WBUMY I A A AYILAYNIQH 1 UHUWIMNCU PUZZLE [I IPUZLE [ This diagram was constructed according to a certain Here are the coded names of some places in or logic. Can you work out which number should around Washington, D.C. Try to unravel them. replace the question mark? See answer 62 See answer 104 9 4 2 2 34 24 36 32 3 5 7 1 10 6 7 A B C D IPUZZLE •I Can you find the number to go at the bottom of triangle D? See answer 87 0 LEVEL 1 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 7 8 12 9 5 6 3 4 2 7 6 8 A e 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 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 IWThy? 7 Why? See answer 41 LEVEL I VKHEOHC (Russian) THRICE (Germanu) EWDIL T3TEEKC (Irish) TGNfEE (French) EEOHTG (Geman) NBE$I (Norwegian) CAIREN (French) PUZZLEM Can you find the odd ball out? The above are all anagrams of the namies of See answer 122 famous playrigihts. The nationality is given in brackets to help you. See answer 114 1 2 w PUZZLE 1 In this diagram, starting from the top of the diamond and working in a clockwise direction, the four basic PUZZLE [0 mathematical signs (+, -, x, -) have been omitted. Your task is to restore them so that the calculation, Can you work out the time on the blank clock face? with answer in the middle, is correct. See answer 83 See answer 6 0 LEVEL I I ,. - 01- __O_ -*I.0-4 1 1* t I /1 I *f__MM_ I 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 F. 562355 B. 72917 G. 83633531 C. 52161741 H. 2456321 D. 141741 I. 15456125 E. 32135 J. 1630551 H LEVEL 1 C I 1 r r A is to B as C is to I/ f m I D E 1\ F G PUZZLE See answer 127 0 A D h [PUZZLE Can you find the odd face out? See answer 12 Ask B • C 0% E F 4: G C PUZZLE , PUZZLE•M Which matchstick man, G, H or L, would carry A curious logic governs the numbers in these circles. on the sequence? Can you discover what it is and then work out what the missing number should be? See answer 49 See answer 9 0 LEVEL 1 8 I Ir.n LL 6 2 rn IW b len '/4.jj'ý-I IPUZZLE 214 ff 3M 5 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 I 2m E 6 8 K 15 9 20 D 26 23 U [PUZZLE PUZZLEM The above clocks move in a certain pattern. The letters and numbers in this square follow Can you work out the time on the last clock? a pattern. Can you work out which number represents the question mark? See answer 100 See answer 19 0 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 LEVEL 1 - U- Im LI-L U m i m XX + X m m XX + 0 t- 0- m x m X m m XX m X I- 0 + x m x -I + x x- X xm S7 m /1 X + xI X +- + x +++ + x x+ x-X +- x + + + m X m + i + XX +X x x +x x x x 0 X x- m X + +- + + m S + xm x X x +- x 0 4- x- X x x+ ~++ S x- iF X X +- x x 0 X + X 51- X x 0 X '- + 0 x 0 + [PUZZLE A section of this grid has been removed and its symbols deleted. Can you replace the symbols so that the logic of the grid is restored? See answer 27 0 LEVEL I D E I L 0 IPUZZLEM Can you work out which two sides on these cubes have identical numbers? See answer 130 7 1261613815 13 21 12 129 7 1 20 1 23 14 25 2 15 18 19 3 8 20 13 9 14 5 19 20 18 I5 14 5 3815234518I 1 22 7 15 12 5 1315 1415 3 1 3 1-1-125 5 11 9 5 2 15 9 12 12 12 191919 5 PUZL The above is a substitution code which PUZZLE M uses numbers in place of letters. The words that have been encoded are all types of soup from around the world. Can you find the number to complete the diagram? See answer 119 See answer 21 0 LEVEL 1 [PUZZLE M Can you work out whether + or - should replace the question marks in this diagram so that both sections arrive at the same value? See answer 136 4 7 9 2 9 11 6 12 1 2 11 8 A B C D PUZZLE The above triangles follow a pattern. Can you work it out and find the missing number? See answer 97 0 [PUZZLE •edroom never- )roselyo was several rapidly. I been ipstairso w LEVEL 1 A is to B as C is to D E F G [PUZZLE I See answer 110 24 63 24 21 33 33 27 [PUZZLE M Each symbol in this square represents a value. Can you work out how much the question mark is worth? See answer 94 2 LEVEL I AD 0 F BeE sŽ AJ 0 j H [PUZZLE U] Two sides of these cubes contain the same letters. Can you spot them? See answer 82 1 9 1 9 1 2 8 3 8 3 8 3 7 4 7 4 7 4 v 0 v 0 a [PUZZLE M Can you find the letter which fits in the missing segment? See answer 16 0 LEVEL 1 C WC 0 A LM K WO E ACK L GOZ A N LHEM I NGWAYNE I YLMOXAE L EiECMOXiKWAX FIEXANBKOS C FAKKENZA EX LAEB L P E FB A I E LHMZNOEX I A I FHRKL1I MMOQ ViT OiA T E U I WEiH T EIO GMO A TKV L A VCHA EMNO L E U ABC FS I ATA MQLSD I CKENSSTA ALSTVEMWMNOE I ACHTACT F OO XWA B E A L L E I T AWWA C G GTOXAEAKFAKI LAASTAWN ONFBCHTJ KWL L T J I I EXGH I ENOL FMGOZXAYNAEBECWL RVOLF I GAEZ I U I E J C CKTP EWUVECUOPT EGBPNHTSE I CSEWXH LHJ A L ECEKLTUZK U A T A E E C K UW P Q RIA R A E P AZ AIUSTENXATAQWAILIETAWVE H AP E X EAB C B AC A EWWE X L E C CWA RWIE W L L KMN1O P PlE L T U Austen Hemingway Michener PUZZLE M Chaucer Huxley Orwell In this grid are hidden the names of 18 famous Chekhov Ibsen Proust authors. Can you detect them? You can go forward or in reverse, in horizontal, vertical and diagonal lines. Dickens Kafka Tolstoi See answer 36 Flaubert Kipling Twain Goethe Lawrence Zola a 000 0 0 0 000 * LI L 0000 0 * 0 O00 0 00 "* DEZ L-I * 0000 0 0 * * A e C D} PUZZLE E There is a logic to the patterns in these squares but one does not fit. Can you find the odd one out? See answer 3 IPUZZLELM Can you work out which mathematical signs should PUZZLE ~ replace the question marks in this diagram? You have a choice between - or +. Which letter replaces the question mark in this star? See answer 10 See answer 30 0 LEVEL I 1518161] 13P41 17121M 14121 1=71 17 8j6 M 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 88 1 2m IPUZZLE M Can you work out what the time on the blank clock face should be? See answer 20 C LEVEL I C LIJ I oD REE Can you work out which of these diagram is different from the others? See answer 138 PUZZLEM What comes next in this sequence? See answer 63 A B C D E PUZZLE Can you work out which of these symbols is the odd one out? See answer 140 0 LEVEL I 41 34 12 14 52 52 42 53 24 44 13 53 14 431151 22 14 64 22 34 43 31 24 42 43 14 53 11 42 12 42 43 52 51 14 13 3124 53 14 41 21 14 24 31 63 14 43 22 42 22 21 44 14 51 34 52 52 24 PUZZLE This is a simple grid code. The encoded words are all names of famous painters. See answer 115 30 50 32 38 36 24 32 PUZZLE IPUZZLEM Each symbol in the above square represents a number. Can you find the missing number that fits into Can you find out how much the question the sector of the last wheel? mark is worth? See answer 98 See answer 55 0 LEVEL 1 S i"k "+- I N 9DB 4~D [PUZZLE Which of these cubes cannot be made from this layout? See answer 36 [PUZZLE The diagram represent an old-fashioned telephone dial with letters as well as numbers. Below is a list of numbers representing 10 American towns or cities. Can you decode them? See answer 48 A. 214417 F. 65674152 B. 7217742 G. 2276537 C. 1331135 H. 1741571 D. 534918422 I. 1351355173 E. 53552165437 J. 352315165437 P LEVEL 1 I T 4, © 4, 4, 4@ 9 I © 4 I 4, © 9 © 4, © 9 4, 4, © 4, © © 9 9 4, 4, 4, 4, 4, © © 9 © 9 4, © 9 © 4, 9 4, 4, 4, 99 © 4, 4, © 4, © 9 9 I © 9 © © 4, 9 9 © 4, © © 9 9 I 4, 4, 9 © © © © © 9 4, 4, V © 4, 9 4, © 4, 4, 4, 4, © 4, © © 4, I 4,I 4, 9 I 9 4, 9 4, 9 © 9 9 4, © © 4, 9 © 9 © 9 © © 4@ I 9 I 4, 4, 9 9 9 © 4, 9 4, 'I 4, © 9 © © © 9 © 4, 9 © @9 T ©I © 4, © © 4, 4, © © 4, 4, 4, 9 4V © © 9 © 9 © 4@ 9 @4, [PUZZLE The symbols in the above grid follow a pattern. Can you work it out and find the missing section? See answer 60 0 0) 0) I C;)C 'C I * c A A I A A I * PUZZLEM The first two sets of scales are in balance. Which symbol is needed to balance the third set? See answer 5 A B C A D E F PUZZLE PUZZLE Can you spot the odd figure out? Can you find the letter which completes the star? See answer 137 See answer 47 0 LEVEL 1 PUZZLE Can you work out what mathematical signs should replace the question marks so that both sections of the diagram arrive at the same value. You have a choice between - or x. See answer 89 (3 a 03 (3 QO PUZZLE Can you find the missing symbol in the last triangle? See answer 76 0 LEVEL 1 PUZZLE v excitedly to his dad. protested. the reluctantparent. i his dad where he meant to go. said the relieved parent. said Johnny. Johnny and his dad are not going diving, or taking a trip in a glass-bottomed boat. So how are they going under the sea without coming to any harm? See answer 45 H LEVEL 1 XIIxxVVI -X LV [PUZZLE * MATCH POINTS Can you correct this sum by moving four matches? See answer 26 36 40 50 27 38 41 S- - --- !0 41 PUZZLE [PUZZLE U• Each symbol in this square represents a value. A certain logic has been used in making this diagram. Can you find out which number should replace the Can you work out what the secret is and replace the question mark? question mark with a letter? See answer 23 See answer 131 0 A 9OF B G J I 0 H PUZZLE Two sides on these cubes contain the same numbers. Can you spot them? See answer 107 PUZZLE The mathematical signs in this diamond have been left out. Reading clockwise from the top can you work out what the question marks stand for? See answer 108 0 LEVEL 1 P BA WN WOCH KT V ENT A CY X 0 AADE FWOY JUL I AROBERTS CD'UST I NH OFFMANBRMONL K AO L WO L N N YGOR E SO T UVD KMGENEWI LDERWOLOZBRR CASKLEMUOT LBWJ LKKEGO PCMWVUWEAlI J LGAHETEBF E LKE FOZMAATH ENAS EROD ELS ALLAMAAO I EEOH I LLE RTASEGFAANTOEFL I STRR ITOMCRU I SESRSEOTEEEPT SAOEEBWB I MQ I ANELGNOR L AAOH EH RS T DAIB DCIDOAT E YAFGSVHTEOTI BKARSCEJ B RBPOACFAJ ZNAYAAY I XQO ENOZ EA LMAOCYH FOGH E LR MAE I NAZ EN I ACL EAHC I MB C PLMANNV WX I ERS F LAZON N U WM J FGQSRAEIL LAESSOE J ONY FGI NOSPMOHT AMME F Jane Asher Richard Gere Julia Roberts Michael Caine 1PUZZLEM Mel Gibson Brooke Shields Hidden in this grid are the names of 16 well-known Julie Christie Dustin Hoffman actors. Can you spot them? You can move in Meryl Streep Tom Cruise horizontal, vertical and diagonal lines in a forward or backward direction. Paul Newman Emma Thompson See answer 61 Jane Fonda Robert Redford Gene Wilder Jodie Foster L LEV[L I JWQA LM JWCTWOVM UWVBXIZVIAAM 090 * 0 )4 00 UILMTMQVM (Oj@) XMZM TIKPIQAM KPIUXA MTGAMMA OIZM LM TOWY I PUZZLE IZK LM BZQWUXPM UWVBU IZBZM A B C [PUZZLE Here are the coded names of some places in Paris. Which of the following faces, A, B or C, would carry Can you discover their identity? on the sequence above? See answer 66 See answer 90 7 14 4 8 6 12 3 6 35 20 30 28 21 16 12 24 18 12 9 [PUZZLE Can you work out which number should go into the last square? See answer 52 a