Taxmann's QUICKER Quantitative Aptitude (Maths | LR | Stats) | Study Material

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Seventh Edition : March 2024

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Preface to Seventh Edition

Earlier editions of Quicker Quantitative Aptitude [BUSINESS MATHEMATICS, LOGICAL REASONING & STATISTICS]Book with short-cut tricks for CA-FOUNDATION was greatly appreciated by CA-FOUNDATION aspirants which helps students to answer many Questions in SECONDS.

Author has himself researched & made Special Tricks, Calculator Tricks, Tabular form in Statistics & many more in LOGICAL REASONING. His Researched Tricks also develop Remembering Power, Analysing Powers etc. in Statistics. His Calculator Tricks, Short-cut Tricks helps to speed up Not only in CA-FOUNDATION but also in different Subjects of Chartered Accountancy course of CA-INTER/FINAL; CMA-FOUNDATION/INTER/FINAL like Accounting, Auditing and Assurance, Financial Management, Cost Accounting, Management Accounting, etc.

The entire book has been written in a Simple and Easy way to understand. So many Illustrations (Examples) with Short-Cut Tricks; Calculator Tricks with Detailed methods, and concepts have been incorporated in each Chapter. A reasonably collection of good Questions have been included in this book to command more on BMLRS. Students can easily understand everything to study this book themselves. We hope that the aspirants will appreciate unique efforts of the Author.

Any printing errors, if there are OR any advice to enhance this book, if you have; please e-mail on “KAILASHTHAKUR25@GMAIL.COM”. In next edition, those will get rectified.

Author will be thankful to those students who will send their results (MARKSHEET) ON E-MAIL “KAILASHTHAKUR25@GMAIL.COM” after getting benefited by study this book. Thank you.

With Best Wishes

I-7
PAGE About the Author I-5 Preface to Seventh Edition I-7 Chapter-wise Marks Distribution I-9 Calculator Tricks I-11 PART A BUSINESS MATHEMATICS CHAPTER 1 : Ratio & Proportion 3 CHAPTER 2 : Indices 18 CHAPTER 3 : Logarithm 36 CHAPTER 4 : Linear Equation 48 CHAPTER 5 : Quadratic Equation 61 CHAPTER 6 : Inequalities 79 CHAPTER 7 : Mathematics of Finance - Simple Interest 87 CHAPTER 8 : Mathematics of Finance - Compound Interest 106 CHAPTER 9 : Mathematics of Finance - Annuity 132 CHAPTER 10 : Permutations and Combinations 156 CHAPTER 11 : Sequence & Series 192 CHAPTER 12 : Sets, Function and Relation 228 CHAPTER 13 : Calculus (Limits & Continuity) 253 CHAPTER 14 : Differential Calculus 267 CHAPTER 15 : Integration 292 I-13 Contents
I-14 CONTENTS PAGE PART B LOGICAL REASONING CHAPTER 16 : Number Series, Coding and Decoding & Odd Man Out 311 CHAPTER 17 : Direction Test 330 CHAPTER 18 : Seating Arrangement 346 CHAPTER 19 : Blood Relations 361 PART C STATISTICS CHAPTER 20 : Description of data 379 CHAPTER 21 : Central Tendency 413 CHAPTER 22 : Measures of Dispersion 455 CHAPTER 23 : Probability 487 CHAPTER 24 : Probability Distribution (Theoretical Distribution) 526 CHAPTER 25 : Sampling Theory of Estimation 551 CHAPTER 26 : Correlation 573 CHAPTER 27 : Regression Analysis 601 CHAPTER 28 : Index Numbers 619 Tables : Log-Tables 659
∈ ∉ ∈ ∉ ∈ ∉ ⊂ ⊂ ⊂ ⊂ ⊃ ⊂ ⊂ φ {}}|{xxxor ≠ = = φ φ A B ⊃ . ABBA ⊃ ⇔ ⊂
{,{a},{b},{c},{a,b},{b,c},{c,a},{a,b,c}}
⊂ ⊂ ∪ {|} B x or A x x B A ∈ ∈ = ∪ ∪ ∩ {|} B x or A x x B A ∈ ∈ = ∩ ∩ φ = ∩ B A U A ⊂ A A ∈ ∉ {|} B x and A x x B A ∉ ∈ == Δ ()() A B B A B A ∪ = Δ B A B A ∩ ∪ ()() A B B A B A ∪ = Δ B A B A ∩ ∪ ABAB’AAB −=∩=−∩
ϕ

BABA’BAB −=∩=−∩

ABA , If AB −=∩=ϕ

(AB)BAB −∪=∪

(AB)B−∩=ϕ

()’ A B B A vi ⊆ ⇔ ⊆

’ .

()()()()() B A B A A B B A vii ∩ ∪ = ∪

A(BC)(AB)(AC) −∩=−∪−

A(BC)(AB)(AC) −∪=−∩−

A(BC)(AB)(AC) ∩−=∩−∩

A(B C)(AB) (AC)∩Δ=∩Δ∩

n(AB)n(A)n(B)n(AB) =+− ∩∪

∪ ∩ ∪ ⇔ ∩ ∩ Δ ∪ ∵ ∩ ∩ ∩ ∪ ∪ ∩ ∩ ∩ ∩ ∩ ∩ ∩ ∩ ∩ ∩ ∩ ∩ ∩ ∩ ∩ ∪ ∩ ∩ ∩ ∪ ∪
∩ ∩ ∩

n(AB)n(A)n(B)n(AB) =+− ∪∩

85260)(60)( ’ =−= −= BAnBAn ∪ ∪

∈ ),(),(11222121bbandaababaei = = ⇔ =

∈ ∈ ∈ ∈ φ φ φ ∈ ∈
→ ∈
→ xX ∈ xX ∈
YX:f
YX:f
YX:f

f:XY →

ifxx;x,xXf(x)f(x) 121212 ≠ ⇒ ∈ ≠

f(x)f(x);x,xXxx2 12121 = ⇒ ∈ =

if(x)f(x);x,xXxx2 12121 ≠ ⇒ ∈ =

ie.,{f(x)}Y,xX ∈ ⊂

{f(x)}Y,xX. ⊂∈

f:XY → f(x)cxX ∈ ∀ =

f:XY;g:XZ → →

f(x)g(x),xX. ∈ ∀ =

I:XX z → I(x)x,xX z ∈ ∀ =

f:XY →

f:XY 1 →

2,(): 2 ()1 x f x x x f + = 1 2(1) + x x 1 2(1) + x x 1 1 + x x 1 1 + x x () 2 2 () let y x x x f = + = ∵ y y x + = 1 2(1)

1 2(x1) f(x) x1 = +

:, B A f →

:, B A f → ∈

AB{(x,y):xAandyB}.

()[()],. A x x f g x gof ∈ = (x,y)R ∈

R{x:forsomey,(x,y)R} ∈ =

R{y:forsomey,(x,y)R} ∈ = ∈ ∈ = × AB × ∈ ∈ ∈ ⇒ ∈ ∈ ⇒ ∈ ∈ ⇒ ∈ ⇒ ∈ ∈ ∈ ∈ ⇒ ∈ ⇒ ∈ ∈ ∈ ⇒ ⇒ a,bN. ∈ ∀ ×
× ∈ × ∈ ∈ × × × ∈ × R{(x,y)NN|x2y10} = + × ∈ = 2 10x y = y,4,3,,2,,1,0,,..... 2 1 2 1 2 3 2 5 2 7 2 9 = ∈ ∈ ∈ × ∈ xRyyRx; ⇒ L l , l , l 3 2 1 ∈ ⊥ ⊥ ⊥ ⊥ ⊥ ⊥ ⊥ TYPE I
⊂ ∈ φ ∈ ∈ ⊂ ∈ φ ⊂ ⊂ ∩ ∪ ∩ ∩ Φ AB ∩ ≤ ≤ ≤ { }:320 2 = + = X X X A { }6 { }1 { }1,2 { }2,6 ∩ ∪ ∪ ⊆ ⊂ ⊂ ≠ ∉ ⊂ ⊂

∩ AB

( ) ( ) ( ) ( ) ( ) ( ) { } 2,2,2,4,4,2,4,4,5,2,5,4

( ) ( ) ( ) ( ) ( ) ( ) { } 1,2,1,4,3,2,3,4,5,2,5,4

( ) ( ) ( ) ( ) { } 2,2,4,2,4,4,4,5

( ) ( ) ( ) ( ) { } 2,2,2,4,4,2,4,4 φ { }3,4,5,6,7

⊃ ⊂ (
∪ ∩ ’
) B A A
B
A
B A ∪’
≤ ≤ (AB)(AC) ∪ ∩
∪ ∪ P × ∈ ∪ Φ ∩ Φ ∪ ∩ ∪ ∩ ∩ ∩ ∪ ∩ ∪ Φ
∩ Φ ∪ Φ ∩ Φ ∩ Φ Φ ∩ Φ ( ) AB’’ ∪ Δ ∪ Δ ∩
{ } { }2,3,1,4,9 = ± ± B ∈ ∈
TYPE II
→ ( ) 11 x { }0,1 { }1,1 { }1,0 { }1,0,1 : → fRR ( ), 1 x f 107 1 x 107 1 + x 10 7 + x 10 7 x () 22 1 gx 1 x x and x x = + x 1 12 x x 12 x x R R f → : ( ) 1, + = x x f ( ) :gx1 2 + = → x R R g 248, + x x 28 + x 27 + x 24 + x x x 24 30 < < x → x 1 { }1 R { }0 R ≤ ≤
≤ ≤ ≤ ≤ ≤ ≤ → → → → → ÷ 2,(): 2 ()1 x f x x x f + = 1 2(1) + x x 1 2(1) + x x 1 1 + x x 1 1 + x x →
∈ ∈
TYPE III
∪ ∩ ∩ ∩ ∩ ∩ ϕ × × × ∩
∪ ∩ ∪ ∩ ∩ ∪ ∩ ∪
TYPE
IV
∪ ∩

ANSWERS

PREVIOUS YEARS QUESTIONS (MEMORY BASED)

∩ ∩ ∩ ∩ ∩
{,{}} φφ {},{0} φ {,{},{{}},} A φφφ {},{} A φ { } { } ;; φφ ∴ ( ) { } { } { } { } { } { } { } PA;;;; = φφφφ { } { } { } { } ;;;A = φφφ

QUICKER Quantitative Aptitude

(Maths | LR | Stats) | Study Material

:

PUBLISHER : TAXMANN

DATE OF PUBLICATION : MARCH 2024

EDITION : 7TH EDITION

ISBN NO : 9789357781282

NO. OF PAGES : 680

BINDING TYPE : PAPERBACK

Rs. 1095

Description

This book is an essential study material for CA-Foundation aspirants and those pursuing higher levels in Chartered Accountancy, offering foundational knowledge and advanced problemsolving techniques. It enables students to answer questions in seconds. This is attributed to the author’s unique research and development of special tricks.

The Present Publication is the 7th Edition for the CA-Foundation | New Syllabus | June/Dec. 2024 Exams. This book is authored by Kailash Thakur, with the following noteworthy features:

u [Comprehensive Coverage] which includes:

 Practice Questions

 Memory-Based Past Examination Questions with Solutions (including Dec. 2023 Exam)

u [Innovative Techniques] This book introduces Special Tricks, Calculator Tricks, and innovative methods in Tabular form for Statistics and Logical Reasoning. These techniques not only speed up problem-solving but also enhance remembering and analytical abilities

u [Ease of Understanding] The book is written in a simple and easy-to-understand manner, filled with illustrations, examples, and detailed methods. Each chapter integrates short-cut and calculator tricks with comprehensive explanations of concepts

u [Rich Content] A significant collection of quality questions is included to offer students ample practice and deepen their command over Business Mathematics, Logical Reasoning, and Statistics (BMLRS)

u [Self-Study Friendly] The material is presented in such a way that students can quickly grasp the concepts and study on their own, making it a self-sufficient study guide

u [Chapter-wise Marks Distribution] A chapter-wise marks distribution chart spanning from 2018 to 2023 is provided, offering a clear view of the importance and weighting of each topic over the years

u [Detailed Calculator Tricks] Specific steps for calculating logarithms, antilogarithms, and nth roots using a calculator are detailed, showcasing the book’s emphasis on practical and time-saving techniques

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