Logitica - Improve your critical thinking and problem solving skills

330 Pages·62.978 MB·English

by  Neelabh Kumar

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Copyright © 2019 Neelabh Kumar. All rights reserved. CC-BY-NC-ND 4.0
Publisher's note
Thisbookoranyportionsofthisbook,includingtheproblemsandsolutions,maynotbecopied,reproduced,stored
in a retrieval system, transmitted or distributed in any form by any means, electronically, mechanically,
photocopying, microfilming, recording or otherwise, without prior written permission from the author and
publisher The author uniquely designed every problem in the book while developing the concepts contained
herein.Weencourageyoutousethisbookforself-learningandself-study.Noneoftheproblems,conceptsorany
otherpartofthebookcanbeusedforcommercialpurposesorcourseworkbyanyschool,coachinginstitute,tutor
and/or tutoring center, etc. without prior written permission from the author and publisher. For permission
requests,writetothepublisher,addressed“Attention:PermissionsLogiticaBook”. RefertothesiteLogitica.comfor
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About Author
Neelabh Kumar is a thinker. Having memorized the first 1500 digits of Pi (π) using sequential recollection,
he is ranked among the top 150 on the Pi World Ranking List. He is the creator behind Wisgo Logitica,
which stimulates both sides of the brain. One of the Wisgo Logiticas Kumar created has a patent filing in
Hong Kong. After earning a Masters Degree from one of the most prestigious universities in India (IIT), Ku-
marisnowemployedinHongKongatalargefinancialfirm,whilealsocreatinganddesigninganewLogiti-
ca, with more to come.
Publisher’s Cataloging-in-Publication data

Wisgo Limited, Hong Kong
Logitica: The Brain Behind the Brain
Improve your critical thinking and problem solving skills
First Edition
Dedication
I lovingly dedicate this book
to
my parents
Mr. Tarkeshwar Prasad & Late. Mridulata Verma
Thanks for your love and support.
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Acknowledgment
I express my thanks to Mr. Dilip Kumar Das for the
invaluable comments and suggestions he has
provided, from the book's initial concept to its
completion. A very special thanks to Mrs. Lipica Das
for encouraging me to write this unique book.
I also thank my friends and family members for
their suggestions and encouragement.
Thank you Reetu, my wife and best friend. You
inspire me with your ideas and suggestions. Without
your continued support, this book would not have
seen the light of day.

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Table of Contents
Chapter 1 - Number Box
...21
Overview .........................21
Example-1 .........................22
Summary .........................31
Exercise .........................32
Keywords: Arithmetic Operations, Arithmetic Mean, Binary Operators.
Chapter 2 - Number Cross
...37
Overview .........................37
Example-1 .........................38
Summary .........................49
Exercise .........................50
Keywords: Arithmetic Operations, Arithmetic Mean, Binary Operators.
Chapter 3 - Number Sequence ...60
Overview .........................60
Example-1 .........................61
Advanced Sequences .........................80
Summary .........................113
Exercise .........................115
Keywords: Number Sequence, Prime Numbers, Fibonacci Numbers, Order of difference.
Chapter 4 - Marbles in a Box
...117
Overview .........................117
Example-1 .........................117
Example-2 .........................120
Summary .........................125
Exercise .........................126
Keywords: Linear Equations.
Chapter 5 - Brick Wall ...129
Overview .........................129
Example-1 .........................130
Example-2 .........................132
Summary .........................138
Exercise .........................139
Keywords: Linear Equations.
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Chapter 6 - Average Cell ...143
Overview .........................143
Example-1 .........................143
Example-2 .........................148
Summary .........................153
Exercise .........................154
Keywords: Linear Equations, Fractions, Arithmetic Mean.
Chapter 7 - Mixed Arithmetic Cell
...157
Overview .........................157
Example-1 .........................157
Example-2 .........................161
Summary .........................166
Exercise .........................167
Keywords: Linear Equations, Fractions, Arithmetic Mean.
Chapter 8 - Wisgo Number Tile
...169
Overview .........................169
Example-1 .........................170
Exercise .........................177
Keywords: Wisgo Family, Stimulating the left and right side of the brain.
Chapter 9 - Number Pyramid
...179
Overview .........................179
Example-1 .........................179
Example-2 .........................181
Example-3 .........................183
Summary .........................192
Exercise .........................194
Keywords: Linear Equations, Pascal's Triangle.
Chapter 10 - Average Number Pyramid
...199
Overview .........................199
Example-1 .........................200
Example-2 .........................202
Summary .........................211
Exercise .........................214
Keywords: Linear Equations, Pascal's Triangle, Arithmetic Mean.
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Chapter 11 - I/O Arithmetic Box
...220
Overview .........................220
Example-1 .........................222
Alternative Method of Solving .........................232
Summary .........................239
Exercise .........................240
Keywords: Arithmetic Operations, Reverse Step Process, Functions.
Chapter 12 - Lost Ant ...241
Overview .........................241
Example-1 .........................241
Example-2 .........................247
Summary .........................249
Exercise .........................250
Keywords: Quadratic Equations: ax2 + bx + c = 0, Displacement, Distance, Vector.
Chapter 13 - Lock and Key
...251
Overview .........................251
Example-1 .........................253
Example-2 .........................255
Optimal vs. Non-optimal Strategy .........................258
Summary .........................259
Exercise .........................261
Keywords: Strategy, The Worst-Case Scenario, The Best-Case Scenario.
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Appendix
(A) Sum of Natural Numbers .........................263
(B) Sum of Odd Numbers .........................264
(C) Sum of Even Numbers .........................266
(D) Pascal's Triangle and Number Pyramid .........................268
(E) Quadratic Equation .........................272
(F) Binomial Expansion .........................274
(G) Vector and Scalar .........................277
(H) Linear Equations .........................278
(I) Function and Set .........................282
(J) More on Number Sequences .........................286
(K) Fibonacci Sequence .........................303
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Answers
Chapter-1 Number Box .........................309
Chapter-2 Number Cross .........................309
Chapter-3 Number sequence .........................310
Chapter-4 Marbles in a Box .........................310
Chapter-5 Brick Wall .........................310
Chapter-6 Average cell .........................312
Chapter-7 Mixed Arithmetic Cell .........................316
Chapter-8 Wisgo Number Tile .........................318
Chapter-9 Number pyramid .........................319
Chapter-10 Average Number Pyramid .........................322
Chapter-11 I/O arithmetic box .........................326
Chapter-12 Lost Ant .........................327
Chapter-13 Lock and Key .........................327
Index ..............328
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Three important concepts in Logitica
Logitica: The Brain Behind the Brain
I. Build true knowledge

Continuous learning, along with building logic iteratively, is true
knowledge. True knowledge is not acquired; it is rather built iteratively and
continuously. Logitica is an excellent way to build true knowledge
because you develop analytical and logical thinking iteratively by solving a
variety of problems.
II. Don't memorize
Build the logic, not the memory.
III. Do memorize
Memorize the challenges posed by the problem, not its solution.
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