a first mensa puzzle book by philip carter and ken russell

Orient P a p e r b a c k s A Mensa Book of Logic Puzzles/Alan Wareham A Mensa Book of Brain Teasers/Alan Wareham World's Most Baffling Puzzles/Charles Barry Townsend The World's Best Pu

PHIUPJ CARTER KEN RUSSELL

r n i g m a s i g P u z z l e C o m p i l e r s

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Orient P a p e r b a c k s

A Mensa Book of Logic Puzzles/Alan Wareham

A Mensa Book of Brain Teasers/Alan Wareham World's Most Baffling Puzzles/Charles Barry Townsend The World's Best Puzzles/Charles Barry Townsend The World's Most Challenging Puzzles/Charles Barry Townsend

Puzzles to Puzzle You/Shakuntala Devi

More Puzzles to Puzzle You/Shakuntala Devi Figuring: The Joy of Numbers/Shakuntala Devi

FIRST MENSA PUZZLE BOOK

By MENSA Members and Enigmasig Puzzle Compilers

Philip J Carter Ken Russell

ORIENT PAPERBACKS

stored in a retrieval system, or transmitted, in any form or by any means, electronic, mechanical, photocopying, recording, orotherwise, without the prior permission of the copyright owners

ISBN-81 -222-0161 -X 1st Published in Orient Paperbacks 1994

2nd Printing 1 9 9 6

A First Mensa Puzzle Book

© Text Philip Carter & Ken Russel

© Illustrations W a r d Lock Limited

Published in arrangement with

Cassell pic England Published by Orient P a p e r b a c k s (A Division of Vision Books Pvt Ltd.)

Madarsa Road, Kashmere Gate, Delhi-110 0 0 6

Printed in India at Kay Kay Printers, Delhi-110 0 0 7

Cover Printed at Ravindra Printing Press, Delhi-110 0 0 6

C O N T E N T S

Acknowledgements 9

About Mensa 11

Mensa Selection Procedure 13

How to get the most out of this book 15

1 All Different * * 18 IS Connections * * 26

2 Weather Spells * * 18 16 Matehplay * 27

3 C u b e s * * 19 17 Triangles I * 27

4 Magic Word Square * * 19 18 Emgmagram I * 28

5 Letter Search * * 20 19 Space Rebus * 29

6 Door Numbers * 21 20 Mnemonic * 29

7 Cipher * * * 21 21 Magic Square * * * 3 0

8 Double-Barrelled * 22 * 22 Cryptic Note * 30

9 The Gallopers I * * 22 23 Volkswagen Wheels * 31

10 The Square Boggle * * * 23 24 Roll Around** 31

11 Conundrum * 23 25 Shaggy Dog Rebus * 32

12 Diamond Crossword * * 24 26 Hiring a Bus * * 32

13 Heads and Tails * 25 27 Enigmagram I I * * 33

14 Speed Merchant * * 25 28 Heart Location * 34

29 What's in the Bottle ? * 34 49 See-Through Words * * 46

30 Corner Cutting I * * 35 50 Fair Shares * * 47

31 Maze * * 35 51 Magic Word Square * * 47

32 String of Beads * * 36 52 Disordered Sports * * 48

33 Grandma's Tea * * 37 53 Connections * * * 48

34 Magic Square * * 37 54 Enigmagram IV * * 49

35 Twins * 38 55 Number Plate * * 50

36 Definitive Rebus * * 39 56 Spider's Web * * 50

37 Letters * 39 57 Empire State * # 51

38 Diamond Crossword * * 40 58 Middles * * 51

39 Triangles II * * * 41 59 Swap Round * * 52

40 Dice I * * 41 60 Letter Maze * * * 52

41 Numbers * * 42 61 Boys' Names * * * 53

42 Corner Cutting I I * 42 62 Missing Letters * 53

43 Catchpenny * * 43 63 Triangles I I I * * * 53

44 The Gallopers I I * * 43 64 Hole Numbers * * * 54

45 Cryptophone * * * 44 65 Forest Man Rebus * * 54

46 Enigmagram I I I * 45 66 Noughts and Crosses * * * 55

47 Arthurian Rebus • 46 67 Octagon * 55

48 Wave Word * 46 68 Notable Rebus # * 56

85 Number Magic Square * * * 64

86 Hour Glass Figure * 64

A C K N O W L E D G E M E N T S

This book is dedicated to our wives, both named Barbara, who have encouraged us to compile new and interesting puzzles, and have checked all of the answers

We also wish to acknowledge the continued support given to us by Victor Serebriakoff, the International Honorary President of Mensa, who is a great puzzle innovator We are also indebted to Harold Gale, the Mensa Chief Executive (another prolific puzzler) and we wish to thank the members of the British Mensa Committee who gave per-mission for the use of the Mensa name

Note: All references to Mensa relate to British Mensa Ltd

A B O (I I M E N S A

Mensa is more than just puzzles Contrary as this may seem to the popular opinion that Mensa is a group of intelligent people

who set and solve puzzles, Mensa is an international society of

the some of the most intelligent people in the world Founded

in Oxford in England in 1946, it today has a worldwide

membership of 1,10,000 in 110 countries and with 28 national chapters operating around the world, including India

Mensa is an organisation for the high IQ people Neither money, profession, power, political pressure, nor social status will get you in Brain power will

The only qualification for membership of Mensa is a score that

is within the upper two percent of the general population, measured on an approved, supervised intelligence test This test is the only way to get Mensa membership

Mensa was a brain child of Prof Sir Cyril Burt, who first suggested the idea of a society for intelligent people in broadcast in 1946 In October the same year the society was officially born and christened Mensa, a Latin word for table, symbolising a 'round table' where members could meet and exchange views as equals Sir Cyril Burt was its first President The aims of Mensa were to identify and foster human intelli-gence for the benefit of humanity; to encourage research into the nature, characteristics and uses of intelligence; to provide

a stimulating intellectual and social environment for its

members

Mensans, as Mensa members are called, vary in occupation from taxi drivers to businessmen, from secretaries to school teachers, from doctors and artists to students and housewives

They range from the unemployed to the wealthy, and their

philosophies from the ultra conservatives to the super liberals, What the,y do have in common is a high intelligence quotient (IQ)

12

\1I-:\SA SKI.IX I ION I'KOC'KDIJKK

Mensa is the international society for the high-IQ people To join you must pass in intelligence test scoring an IQ of 148 or more,

on the Cattell scale, which would place you in the top 2% of the world population

World membership is currently over 110,000 and includes people from all walks of life There are many members who are still in school or colleges, from 11 years to 21 years old, for whom this book is specially written

If you can answer some of these puzzles, you are then a potential Mensa candidate

HOW T O G E T THE M O S T O U T OF THIS BOOK

The puzzles are starred

to score, say, ten, fifteen, or twenty points is the winner

Each puzzle has two numbers alongside it, one being the answer ber The answers are given in a different order to the questions, so that you should not accidentally see the answer to an adjacent puzzle not yet attempted

num-Q u e s t i o n s

1 * * I

All Different

Complete the grid using

only the five symbols

shown in the top line so

that the same two

sym-bols do not appear in any

horizontal, vertical or

diagonal line

0 o A O

With such an unusual mixture of

different types of weather around

the British isles the weather chart

is looking mighty peculiar today

Can you unscramble the nine

anagrams to find the varying

types of climatic conditions which

we are experiencing?

| FAT SCOHFI

REACH RUIN

18

Can you tell, just by

stu-dying them, how many of

the following can be

fold-ed to form a cube?

Magic Word Square

Each line of the verse

gives a clue to a

four-letter word which should

be inserted in the giid

The four correct wo'ds

will produce a 4x4 magic

square where the same

words can be read both

across and down

2

3

f

My first is to make a present of,

My second is the plan,

My third is to change direction, And my fourth's a noble man

1 What letter comes just after the letter just above the letter E?

2 What letter comes midway between the letters just after the letters A and W?

3 What letter comes just below the letter just before the letter just below the letter R?

4 What letter comes just above the letter, just above the letter just before the letter which comes just under the letter which comes midway between the letters N and F?

5 What letter comes just after the letter which comes just below the letter which comes just after the letter which comes just above the letter which comes just after the letter which comes midway between the letters I and A?

6 What letter comes just above the letter which comes just after the letter which comes just after the letter which comes midway between the letters which come just before the letter K and just after the letter S?

20

I I

qs Mjjj^^EElflffl^^B

What word can be placed in front of the five

The name given to this puzzle is the old fairground name for the

roundabout on horses

Complete the word in each column - they all end in G The scrambled letters in the section to the right of each column are an anagram of a word: that word will give a clue to the word you are trying to find to fit

Q I O The Square Boggle 1 * * * 1 A 1 0 7

A square number is the result when the same two numbers are plied together For example 361 is a square-number because 19x19 =

multi-361 The first few square numbers are 1(1x1), 4(2x2), 9(3x3), 16 (4x4), 25(5x5) and so on In the grid below, what is the smallest square number which cannot be read Boggle style, that is by starling anywhere you wish and moving horizontally, vertically or diagonally? Squares can be used as many times as you wish, but only once in the same number

2 An electrically charged atom

3 To pry into the private business of others

4 An imaginary beast

5 To die away

6 This colour means marching orders for a soccer player Down:

1 The male of the domestic fowl

2 One of the red rings on an archery target

3 To dip or soak food in a liquid

7 Recorded for future reference

8 For each

24

Position the three coins in such a way that two heads are completely

to the right of the line and two tails are completely to the left

then returns from B to A

over the same route and

distance at a speed of

30mph

What is the average

speed for the total

journey?

cir-For example:

1=14(4+7+3) 4=8 (7+1) 7=5 (4+1) 3=1

26

The four 6-letter words have been jumbled Solve the four anagrams

of educational terms and then transfer the arrowed letters to the key anagram to find a fifth educational term

28

SpaceRebus J ^ f l

What phrase is represented below?

The rhyme shown on my computer screen is a mnemonic device to

enable me to remember the combination of my safe What is the

Q 2 1

|

Magic Square A115

In each square are four letters Your task is to cross out three letters

in each square to leave a 5x5 magic word square where the same five words can be read both across and down

In each of the following find an eight-letter word reading clockwise You have to provide the missing letters

Nine white discs are placed in a

complete circular chain and a

black disc is rolled around the

chain once completely so that it

touches each white disc once on

its journey All ten discs

are identical in size

Can you answer the following?

a) How many rotations will the relling black disc have made by the time it has travelled completely round the outside of the chain? b) Would the shape of the chain affect your answer providing the black disc was still able to touch each white disc?

c) If the black disc is rplled round the inside of the chain how many rotations will it make?

Shaggy Dog Rebus

What phrase is represented here?

IMI!Vtlf|

O

The cost of hiring the bus was shared equally by everyone who went

on the outing The bus was a twenty-seater and the bill came to 49 dollars and twenty seven cents How many empty seats were there?

32

The four 6-letter words have been'jumbled Solve the four anagrams

- all types of food - and then transfer the arrowed letters to the key anagram to find a fifth food

What woitl can be placed in front of the five

words shown to form, in each case, another

The contents of the bottle are not what you

might think according to the label What does it

really contain?

34

G E R E!- EXIT

m n

Q32 j j j ^ R J f t F T i J B ^ M

My sister hSs a string of beads I have noted that each time she wears them she alters the position of the beads, and, being methodi-cal, she does so in a logical sequence This is how she has worn them

on the first three occasions:

From the choice below, what should be the position of the beads the next time she wears them?

36

Sunday tea had ended in uproar because someone had put salt in

grandma's tea, and father was interrogating his three sons to try to

find the culprit "I'll get to the bottom of this" he said and pinned up

one statement from each of his sons, who together admitted that at

least one of the statements was true and at least one was false

From this information can you work out who did put the salt in

T E A "

COLIN

"I DID PUT SALT IN GRANDMA'S TEA"

1 5$C 1 H H H H M H

Magic Square

The numbers already inserted form a magic 3x3 number square

where each horizontal, vertical and corner-to-comer line totals 39

Your task is to insert the remaining numbers from 1-25 which have

not already been used up in the

centre so that each horizontal,

vertical and corner to coiner line

totals 65 in the 5x5 square

16 9 14

11 13 15

12 17 10

Q 3 5 -I * 1 m i b

Someone is missing from the above group From the choice below who

is the one you would choose to join them?

KEN S U E ALLAN JEAN PAT

38

2 End of the cue

3 What exams have to be if you fail them

4 Large house

5 Sharp end

6 Decay

Down:

1 A specific task or duty

2 Male singing voice

3 Talking instead of singing - a hit!

7 Emulsion

8 Very small child

40

• •

• •

• • • •

• •

Study the numbers in the circles and try to work out how the number

in the middle of each circle has been arrived at Then work out the missing number in the bottom circle

Corner Cutting II

Draw the figure in one continuous line without anywhere crossing a line

or going over any part of a line twice

42