Well done to everyone who battled through all of our our questions in August, especially as there were points of debate with a couple of them. But for their fine efforts in tackling challenging Question 3, the joint winners this month's Brainiac of the Month award are: Jose Padron, Waterville TG Inc.; Hans-Bernd Lüchtefeld, PHP Fibers GmbH; Andrew Knox, Rubbond International; and Yuichi (Joe) Sano, Sumitomo Electric Industries Ltd
Questions 5 (and 4): Missing number
What number is missing from the following series?
37, 10, 82
29, 11, 47
96, ? 87
42, 6, 15
Bonus question (Question 4): Out of step
To keep fit, Frank liked to dash up the big circular staircase to his office on the third floor of the building. He goes up the steps 2, and sometimes 3, at a time but always finds 1 step left over when he gets to his landing. Indeed, Frank works out that no matter how many steps he is able to take at a time, there is always 1 step left over. How many steps are there on the stairs to Frank's office, and what is the maximum number of steps Frank can take at a time.
Answers: Readers, it seemed, had little problem identifying 15 as the answer to the Missing Number question. However, the Out of Step teaser continued to generate alternative replies: but our judging panel’s ‘official’ answer is 61 steps and six at a time.
Let’s just move on and say a big well done to each of the following readers: Amparo Botella, Ismael Quesada SA, Spain; John Bowen, consultant, Bromsgrove, UK; John Droogan, advanced polymers and composites, MegaChem (UK) Ltd, Caldicot, Monmouthshire, UK; Andrew Knox, Rubbond International, Ohé en Laak, The Netherlands; Hans-Bernd Lüchtefeld, market research & communication manager, PHP Fibers GmbH, Obernburg, Germany; Michele Girardi, Scame Mastaf Spa, Suisio, Italy; Jose Padron, Waterville TG Inc Canada; France Veillette, chef environnement, usine de Joliette, Bridgestone Canada Inc. Canada; David Mann, manager rubber technology,SI Group, Béthune, France; Paul Knutson, textile engineer, Timken Belts, Springfield, Missouri, USA; Yuichi (Joe) Sano, Sumitomo Electric Industries Ltd, Itami, Japan; Stephen Fulton, R&D technology development manager, Umicore Specialty Materials Brugge NV, Brugge, Belgium; Karl-Erik Lember, Motoral Eesti AS, Estonia; Henza Özşahin, deputy general manager, Özşahin, İstanbul, Turkey;.
Question 3: House numbers
Walking along the street where he lives, Simon notices that the sum of the house numbers up to his own house, but excluding it, equals the sum of the numbers of his house to the end of the road. If the houses are numbered consecutively, starting from 1, what are the possible numbers of Simon’s house? (There are less than 1000 houses on the road.)
Answer: As Hans-Bernd Lüchtefeld neatly explained: With 3 houses, Simon has house # 3; With 20 houses, Simon has house # 15; With 119 houses, Simon has house # 85; and With 696 houses, Simon has house # 492
Quite a challenging teaser, so extremely well done to Jose Padron, materials development specialist, Waterville TG Inc., Waterville, Québec, Canada (see also his table below); and Hans-Bernd Lüchtefeld, market research & communication manager, PHP Fibers GmbH, Obernburg, Germany. A special mention also – for getting most of the way along the street – to Andrew Knox of Rubbond International, Ohé en Laak, The Netherlands and Yuichi (Joe) Sano, Sumitomo Electric Industries Ltd, Itami, Japan.