Preface to Fifth Edition
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, Theetc.
With Best Wishes KAILASH THAKUR I-7
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.
Earlier editions of Quicker BMLRS [BUSINESS MATHEMATICS LOGICAL REASONING & STATISTICS] Book with short-cut tricks for CA-FOUNDATION/CPT was greatly appreciated by CA-FOUNDATION & CA-CPT aspirants which helps students to answer many Questions in SECONDS.
PAGE About the Author I-5 Preface to Fifth Edition I-7 Calculator Tricks I-9 CHAPTER 1 : Ratio & proportion 1 CHAPTER 2 : Indices 20 CHAPTER 3 : Logarithm 38 CHAPTER 4 : Linear equation 54 CHAPTER 5 : Quadratic equation 67 CHAPTER 6 : Inequalities 88 CHAPTER 7 : Simple interest 98 CHAPTER 8 : Compound interest 119 CHAPTER 9 : Annuity 146 CHAPTER 10 : Permutations and combinations 168 CHAPTER 11 : Sequence & series 209 CHAPTER 12 : Sets, function and relation 253 CHAPTER 13 : Differential calculus 284 CHAPTER 14 : Integration 315 CHAPTER 15 : Number series, coding and decoding & odd man out 338 CHAPTER 16 : Direction test 353 CHAPTER 17 : Seating arrangement 366 CHAPTER 18 : Blood relations 378 CHAPTER 19 : Description of data 389 I-11 Contents
I-12 CONTENTS PAGE CHAPTER 20 : Central tendency 424 CHAPTER 21 : Measures of dispersion 468 CHAPTER 22 : Probability 502 CHAPTER 23 : Probability distribution (theoretical distribution) 546 CHAPTER 24 : Correlation 578 CHAPTER 25 : Regression analysis 608 CHAPTER 26 : Index numbers 631 Tables : Log-Tables 673 Solved Paper : December 2021 (Memory Based) 681 Solved Paper : June 2022 (Memory Based) 721
XN NorXXXXXXXN =++++=∑ ...321 X ∑ X XX N = ∑ 586248537052608475 9 ++++++++ 562 9
NXX =∑ fXfX Σ = ∑ fXfX Σ = ∑ XANx =+∑ XAffx Σ =+ ∑ XAffx Σ =+ ∑ NiXAd=+× ∑ fiXAfd × Σ =+ ∑ fiXAfd × Σ =+ ∑ i AX d = i AX d = i AX d =
60∑= f 2460fX ∑= 41246060ffXX == Σ = ∑ ( ) 21 21 NNN valuesobservedintroducedNvalueobservedremovedNold MeanNew + + = N.Incorrect Mean - Incorrect obs. correct obs. Correct Mean N + = X 50 23634050 ×+ = 39.2196050 == 68.39 220 726568.420 removedvaluesobsincorrectofNo.N obs.valuesIncorrectXN.Incorrect MeanNew = × = =
40526044525861New Mean 4032 2043 52.385 kg.39 ×−−−++ = −+ == × × × ∴ ∵ 4120 3 412041241204(3)412012132 −+ ∴−= −+=+ −+=+ ∴=+= xkxkg. orxkx orxkx kkg. × .146201232420 yrsyrs=×== 24203 2420 2412324 12 3or 24x-20k24x-24 12 20614 −+ ∴=−−+ =− +=× =−= xkxyrsxk orxKyrs.
1X 2X 21 2211 12 NNXXNXN + + = 21 ; XX 3X 321 332211 123 NNNXXNXNXN ++ ++ = 6040 68000605200040 + ×+× = × × ÷ 200250 1020 1501030020 12 =≠ + ×+× =X ∴ 20030003030002010 1502030010 12 = + = + ×+× =X ∴ ∴ 1030 21 1 ×= + =X 2030 21 2 ×= + =Y ∴ ,&;;if 122211 XNNXX 54000906030 4506090030 12 = + ×+× ∴= X
∴ 13 122 1 32×−× == XXN 36002450 1 ×−× 1800900 1 = 37.5%100 53 3 ×= + 62.5%100 53 5 ×= + ........321 332211 nnwn wwwwx Xwxwxwxw ++++ ++++ = w Xwx w Σ = ∑ Σ Σ 58.434097 == Σ Σ = w Xwwx × × × × × ÷ Totaldistance Totaltime = 930640 96 ×+× +
0X)(X ∑= X Σ Σ X ∴ X 0)x ∴= 22 A))x < 840 ==xx 108)( )22 Σ= =xx x 15)( 7) 22 Σ= = xA x 22 )() xxxA <Σ XXX X )or(×÷ XXX k X 90.245 ×= YabX =+ 16;==xx (Y)Y X 2210325105162 ×=== yory
44225 ∴== y 4.4. ∴=yy MEDIAN ∴ 171 4 22 ++ ∴=== MNththth Mth 3.5 2 16 = + ∴= 30.35)(2512 obs.162valueobs.th6212 th =+= =++
1 th 2 + = MN th1 2 + = MN + =+ valueobs.1N2 valueobs.thN212M th thN12 + = M 2 1+N 2 1+N 1 2 + = MNth + =+ valueobs.1N2 valueobs.thN212M th 2 fiNMLc N )( 2=+ fΣ WORKING RULES
180=Σ= NfthMNthth 90.5 2 1180 2 1 = += + = 180=Σ=Nf 9018022 == N ∴ 90. 2 =fiNMLc N ∴=+× 2 3663010305030 1090506030 =+×=+= =+× ∴ fiMLc N =+× 2 23)6108(52 =++++÷ N 10108)(5 +÷× ∴ )./(×÷
K M .MMYabX =+ 8405 601005 1005302 10052 10052 == = ×+= ∴+= += M MM orYMM orYY orY XY X || XMeΣ ÷ ÷ ÷ ÷ 1 2 + = MNth 1 4 + = KthQKN 1 10 + = KthDKN 1001 + = KthPKN N c MLi2f =+× K KN c QLi4f =+× K KN c 10DL i f =+× K KN c 100PL i f =+× 1101 5.5 22 ++ === MNththth
1 4 + = KthQKN 1 1101 1. 2.75 44 ++ ∴=== QNththth 3 38.251014 + == Qthth 1 10 + = KthDKN 3 33.310110 + ∴== Dthrd 6 66.610110 + == Dthth 1001 + = KthPKN 82 829.02101100 + == Pthth 180=Σ=Nf 4518044 == N 4 1 453020 1025. 30 ∴=+×=+×= Nc QLi f 135.18043 4 3 = × = N
334() ∴=+×= N QLicf 40135110 40 + 144101808810 = × = N 8 8 14411010 40 1048.5 40 =+×=+×= Nc DLc f 1267010018070100 = × = N 7070100 ∴=+× N PLicf 126100 4010040 =+ 1040444. ×=+= MODE
−+ =+× 0012011 ffML ifff ∆ =+× ∆+∆01 12 MLi ∆=−101 ff ∆=−+ 201 ff 1+f 02 11021 ∆+∆== +fff 01 12 |||| ∆ =+× ∆+∆ ML i 01 0101 |||| −+ =+ × −+− Liffffff MMX 230 = 13 0012011 −+ ∴=+ ×=ffML ifff 2213 2221310 ×−− 1013222 × × ÷ X ∴ X × ×
. 00 ZZ MM orYabX YabX =+ =+ 34.522.512 151.5012 1.50.12 .1.5012 =+= =+× ∴=+ =+ zz z YX YX Y∵ ≠ ≠ MMX 230 = nnnn Gxxxxxxxx )( 321 1 321 == () (3.9.27)333(3)39.1112362333 ==××=== logΣ Nx ( )12 1 12...........= fffnNGxxxn
21 in Nffff =Σ=+++ log Σ = Σ GALfX f ∴ 14421663 =≠ ∴ ∴ × × ÷ Σ = Loglog Xi.e. G N 12 loglog......log +++ xxxNN × y zX = YofGM XofGMxy 14 4123xofGM yofGMxyofGM === NX xxxxNHN 1 321 1 ...... 111 Σ = ++++ == 5.81 0.100.1670.25 3 1011614 3 = ++ = ++ =HM ÷ ÷ ÷ 1011614 ++
÷ × ....... 2211 21 n n n f xxxf ffHff +++ +++ = ∑ =∑ = X HNff 122 = 75034 = 0.37583 = 0.125162 = 32;11 =Σ== ∑ x Nff 4.782.311 == Σ Σ ∴= fx Hf x f ÷ ÷ ÷ ÷ ÷ ÷ × 10)( Σ== fN ∑ Σ = X w Hw W 22260 24 km./hr.1132 5 203060 × === + + xy xy + =220302Av. Speed 24 km./hr. 2030 ×× ∴== + 2211 21 H HN NNHMN + + =
332211 321 H HNHN NNHNN ++ ++ = 12 12 126040 6040 2025 + + == ++ NNHM HHNN 10010021.73921.74 31.64.6 ==== + ÷ ÷ ÷ ≥ ≥ 2 + = abA = Gab 2 = + abH ab GAHGAH =⇒=2 4681082 2 = × =∴=∴= AHGAHHG∵ 8416 10 2 416 =×= = + = G A ∴
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I
Rs. : 995 | USD : 50 AUTHOR : Kailash Thakur PUBLISHER : TAXMANN DATE OF PUBLICATION : July 2022 EDITION : 5th Edition ISBN NO : 9789356223219 NO. OF PAGES : 766 BINDING TYPE : PAPERBACK Business Mathematics Logical Reasoning & Statistics (Maths, Stats & LR | BMLRS) | QUICKER ORDER NOW Description This book is prepared exclusively for the Foundation Level of Chartered Accountancy Examination requirement. It covers the entire revised, new syllabus as per ICAI. It helps the students to answer several questions in a matter of seconds. The Present Publication is the 5th Edition & updated till 31st April 2022 for CA-Founda tion | New Syllabus | Dec. 2022/May 2023 exams. This book is authored by Kailash Thakur, with the following noteworthy features: · As per the latest syllabus of ICAI · [Simple & Easy to Understand Language] is used throughout this book · [Illustrations] with short-cut tricks, calculator tricks with detailed methods & concepts have been included in this book · [Calculator & Special Tricks along with Tabular Format Presentation] for logical reasoning & statistics · [Remembering & Analysing Power] in statistics · Coverage of this book includes Fully Solved Previous Exam Questions Paper, including: CA-Foundation | December 2021 (Memory-Based) CA-Foundation | June 2022 (Memory-Based) · [Student-Oriented Book] The author has developed this book keeping in mind the following factors: Interaction of the author with their students, with specific emphasis on difficulties faced by students in the Shapedexaminationsbytheauthor's experience of teaching the subject matter at different levels Reactions and responses of students have also been incorpo rated at different places in the book
