I-9 Contents Chapter-wise Marks Distribution I-5 Chapter-wise Comparison with Study Material I-7 CHAPTER 1 RATIO & PROPORTION 1.1 CHAPTER 2 INDICES 2.1 CHAPTER 3 LOGARITHM 3.1 CHAPTER 4 LINEAR EQUATION 4.1 CHAPTER 5 QUADRATIC EQUATION 5.1 CHAPTER 6 INEQUALITIES 6.1 CHAPTER 7 SIMPLE INTEREST 7.1 CHAPTER 8 COMPOUND INTEREST 8.1
I-10 CONTENTS CHAPTER 9 ANNUITY 9.1 CHAPTER 10 PERMUTATIONS AND COMBINATIONS 10.1 CHAPTER 11 SEQUENCE & SERIES 11.1 CHAPTER 12 SETS, FUNCTION AND RELATION 12.1 CHAPTER 13 DIFFERENTIAL CALCULUS 13.1 CHAPTER 14 INTEGRATION 14.1 CHAPTER 15 NUMBER SERIES, CODING & DECODING 15.1 CHAPTER 16 DIRECTION TESTS 16.1 CHAPTER 17 SEATING ARRANGEMENT 17.1 CHAPTER 18 BLOOD RELATIONS 18.1 CHAPTER 19 DESCRIPTION OF DATA 19.1 CHAPTER 20 CENTRAL TENDENCY 20.1 CHAPTER 21 MEASURES OF DISPERSION 21.1 CHAPTER 22 PROBABILITY 22.1 CHAPTER 23 PROBABILITY (THEORETICAL) DISTRIBUTION 23.1
CONTENTS I-11 CHAPTER 24 CORRELATION 24.1 CHAPTER 25 REGRESSION ANALYSIS 25.1 CHAPTER 26 INDEX NUMBERS 26.1 Solved Paper CA - Foundation Dec. 2021 (Memory Based) P.1 Solved Paper CA - Foundation June 2022 (Memory Based) P.42
0.3125(0.5)(0.5)3)( 23 3 5 ===PXC e-1.6
⇒ 1.69660 = 1.601.611.621.63(1.6)(1.6)(1.6)(1.6)0!1!2!3! eeee =+++ 23 1.6 (1.6)(1.6)11.6 2!3! e +++ 4.560.2019 =× () fxe .12 οπ = ( ) 2 2 x2σ ∞ () .21πσ = ( ) 2 2 2σ µx ∞ ∞ () 2X12 .e12xf σ µ σπ = ∞ ∞ (µσµσ) 3,3 + ( )3,3(µσµσ +
∴ 4)( ≥X 642651660456(0.7)(0.3)(0.7)(0.3)(0.7)(0.3) CCC ++ 0.00110010 = × 2)(12)( ≥=<PXPX 1)](0)([1 =+=PXPX =+ 1! (0.5) 0! (0.5)1 105005 ee 1[0.60650.50.6065] =−+× 0.5( 0.6065)Givene ∴= 2)(100 =×≥ PX 09020100 =×
qP∴= 1 26313151 ∴== q rr Cr 31 31 2631315 283 3 31 292 2 31 301 1 31 310 0 31 2631315263131526313152631315 + + ++ CCCC ∴ 1000.055mnp ===×= ∴ 0.0067)e(Given10!)5(e 5 105 = 0.0067.(5)10 0.018 10! =
76P1andq17P ∴=== 132 2 15 7617 C ≈ e61 6 e e21 3 e ..01 1 0!1! mm emem m =⇒= e eme PX m 212! .(1)2!.2)( 212 ∴==== 2 e 05040 ∴==× mnp 2)( ≤X 2! .(2) 1! .(2) 0! .(2) 221202 =++ eee 2]22[1 =++ e 51350 =×
10, npnpq =σ= ⇒ ∴ 3381 4681 6481 2581 ∵ ∴ ⇒ ⇒ 13 13,23 ∴== pq 3)( ≥Px 05 5 5 14 4 5 23 3 5 132313231323 + + CCC ++ 9410910923 3 0648112.0.01210 ∴==×= mnp
0.1200.121.(.12).(.12)0!1!=+ ee 0.12[10.12]e + 0.886921.12 × y x 1m = 1)( ≥PX 1)(1 =< PX 0)(1 == PX 0! .(1)1 01 = e e 1 1=
33 3 6 2)/(12)/(1C3)(Xf == 61220 =× ⇒ 43 ⇒ 23234 = × =q 23∴= q 1323 = ⇒ 213 ×=n ∴ µ 2σ
22313 = ∵ ⇒ 42 σ= ∵ ∴ )3x3),P(,( 2 µσµσ<<µ+σ ∵ ( )36x36P µ<<µ+ ⇒ ⇒ 2313 = ⇒ 23=p
14+=µσ 6µσ= σ σ )(σ P1 1 ⇒ ⇒ ∴ ∴ 1-1K p = ⇒ (4)2 ⇒ ⇒ 45=q 541= 15=p 2015 ×=n ⇒ 100520 =×=n
x!m.eP(x) xm = 1.51.(1.5)(1) 1.! e PX == 1 1.50.2231× 293421 + 921662 + 93321 + 921552 + 1323 = 313 ×=n 91323)( +=+ n qp
⇒ 2 1 1 e 11 e 121 e e521 m;E(X)x!me xm = ∴ + 1!1.e0!1.e1 1101 ][ 11 + ee 121 e { } ∞<<∞xx ,/4)( 2 π 124, 124, 122, 2)2)12(12)( σ µ σπ == x PXxe −∞<<∞ X 4)2(1 x e π 2 141221 .1 2 2 x e = π 12)(σ= 12)( 2 ∴= σVariance
0, →∞→np →=λpnp 0, →∞=λpnp , →∞→=λ 0,np,pn ’’λ ..64.. SDQD = 664 =×
(2).10.0.4362523232 PXcpqpq==== 2181023 3 5 =cpq 2181010 23 =pq ÷ 21010 23 32 = pq pq 2= p q 13 2
µσ µσ + 482 = = σ σ µ 5σ= 6050 2 5 X µ σ == 2)(60)( >=>PXPz 2)(00.5 ≤≤pz × µ = 5060 Z = 0
43 ≥ 729728 7291 729723 43 43 231313 = 423. =n 1)(11)( ∴≥=< PXpX 60 0 6 .. Cpq 729111.1.(1/3)1 6 = 729728 12.5;39.5 µ=σ= 512 39.560X = σ µ (60%)0.5(39.560)PX pX >=−≤≤ 1.64)(00.5 =≤≤ pz ×
≤ 5)xP(2 ≤< 5)xP(2 ≤≤ 5)xP(2 ≤≤ 5)xP(2 << x 2 5 2)(05)(0 =≤×≤≤×≤ pp 5).(2 =<×≤ p qqpq∴=⇒== 1;3434 14341 == 24314343)(3 =× == npqqpµ 32=
42 σ= ( ) 4222 4 3.3.3448µσσ===×= ∴ ∞ rnr r n .q.pC µσ 3±
Rs. : 560 | AUTHOR : Kailash Thakur PUBLISHER : TAXMANN DATE OF PUBLICATION : July 2022 EDITION : 6th Edition ISBN NO : 9789356223080 NO. OF PAGES : 824 BINDING TYPE : PAPERBACK Business Mathematics Logical Reasoning & Statistics (Maths, Stats & LR | BMLRS) | CRACKER ORDER NOW Description USD : 38 This book is prepared exclusively for the Foundation Level of Chartered Accountancy Examination requirement. It covers the past exam questions & detailed answers strictly as per the new syllabus of ICAI. The Present Publication is the 6th Edition & updated till 30th April 2022 for CA-Foundation | New Syllabus | Dec.2022/June 2023 exams. This book is authored by Kailash Thakur, with the following noteworthy features: As per the latest syllabus of ICAI Coverage of this book includes Past Exam Questions & Answers, including: CA-Foundation | December 2021CA-Foundation(Memory-Based)|June 2022 (Memory-Based) Calculator & Shortcut Tricks [Practice Questions] are provided in selected chapters [Marks Distribution] Chapter-wise marks distribution (new syllabus) from May 2012 onwards [Chapter-wise ICAI Study Material Comparison]
