CHAPTER
( )AAB ∩∪ ′ B A ∩ B A ∪ B A ∪’
xx
{4;5}
AA AB AAB AB ∴=∪− ′ = ∪=∪ ′ = ∴∩∪ ′ =∩ = =∩
{4,5}{2,3,4,5}
{2,3,4,5} ()
{0,1,2,3}{2,3,4,5}
{2,3}
′ ∪ ∩ { }∪ ∩ ∩ : fRR 1, fxx
( ) 1 x g : 2 + = → x R R g
221(2)(2)15xg+⇒−=−+=
) ( M E ∩ ) ( M E ∩
2,3,1,4,9 B
2,4,2,4,3,9,3,4
22 gx 11 xx and xx x 1 2 1 x x 2 1 x x
( ) ( ) ( ) ( ) ( ) ( ) { } 4 5, , 5,2 , 4 4, , 2 4, , 4 2, , 2 2,
( ) ( ) ( ) ( ) ( ) ( ) { } 4 5, , 5,2 , 4 3, , 2 3, , 4 1, , 2 1,
( ) ( ) ( ) ( ) { } 4,5 , 4 4, , 2 4, , 2,2
( ) ( ) ( ) ( ) { } 4,4 , 2 4, , 4 2, , 2,2 × ×
′ ′ ′ ′
(AB) ∪ ′′
A(B) =∩′′′
AB=∩ ′
BAB=−∩ BA=−
1 2 n 31 1 2 5 = → ( ) 1 1 x { }1 0, { }1 1, { }1,0 { }1 1,0,
3,4,5,6,7
) C A ( n 40; B) A ( n = ∩ = ∩
30;
n(AB)40;n(BC)30;n(CA)60n(ABC)10. ∩=∩=∩=∩∩= n(ABC)1007014040306010190 ∴∪∪=++−−−+=
Quantitative Aptitude (Maths,
LR & Stats) | CRACKER
AUTHOR : KAILASH THAKUR
PUBLISHER :
TAXMANN
DATE OF PUBLICATION : APRIL 2025
EDITION : 13TH EDITION
ISBN NO : 9789364550284
NO. OF PAGES : 844
BINDING TYPE : PAPERBACK
DESCRIPTION
This book is tailor-made for CA Foundation aspirants, focusing on Paper 3: Quantitative Aptitude (New Syllabus). It compiles past exam questions (up to January 2025), solutions, additional practice questions, and the latest RTPs/MTPs. Chapter-wise analysis and practice-oriented discussions offer concept clarity, quick revision, and strong problem-solving skills to help students approach the exam confidently.
The Present Publication is the 13th Edition for the CA-Foundation | New Syllabus | May/Sept. 2025 Exams. This book is authored by Kailash Thakur, with the following noteworthy features:
• [Exhaustive Coverage of Past Exam Questions] Incorporates memory-based questions from previous CA Foundation exams (till January 2025), complete with detailed solutions
• [Additional Important Questions] Offers extra practice on frequently tested and challenging topics to strengthen students' exam readiness
• [Coverage of RTPs & MTPs] Includes official Revision Test Papers and Mock Test Papers from ICAI, aligning with the Institute's standards
• [Chapter-wise Sub-Topics & Marks Distribution] Provides a breakdown of each chapter's sub-topics with past exam marks allocation, aiding focused study
• [Chapter-wise Mapping with ICAI Study Material] Aligns each topic with the official ICAI modules to ensure comprehensive syllabus coverage
• [Focus on Conceptual Clarity & Quick Revision] Uses concise explanations typical of CRACKER-style resources, ideal for last-minute prep and conceptual reinforcement
• [Calculator & Shortcut Tricks] Shares time-saving computational methods essential for effective exam management
