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For CAT, XAT & Other MBA Entrance
Version 7.2
Ravi Handa
I run the website www.handakafunda.com In the last 10
years, I have taken classes at IMS, TIME and Genesis
Mentors in Kolkata, Jaipur, Surat and Pune.
One of the common questions that I have been asked
over and over again is: “What should be done in the last
few days?” I am a strong believer in the idea nothing
much should be done in the last few days. This time
should be used to calm down your nerves before the
final day. Giving mocks during the last week should
definitely be avoided. Often it ends up doing more harm
than good. However, you should revise the key concepts
during the last few days and that is precisely why I
compiled this eBook.
This eBook contains a list of formulas and concepts
which will help you in revising and preparing for the big
day. I would love to hear what you think of the eBook
Ravi Handa
I have an online CAT coaching course:
Some of its key features are:

750+ Video tutorials for clarity in concepts
Live Classes ever weekend for doubt clarification
Entire CAT Syllabus is covered
10 full length mock tests in the latest CAT pattern
(With direct answers and 1-hr per section
Date: 12th September 2017
[email protected] +91-9765142632
Modern Math
Laws of Indices
Last digit of an
Factor Theory
Divisibility Rules
Algebraic Formulae
Remainder / Modular Arithmetic
Base System Concepts
Absolute value: Absolute value of x (written as |x|) is
the distance of 'x' from 0 on the number line. |x| is
always positive. |x| = x for x > 0 OR -x for x < 0
Natural Numbers: 1, 2, 3, 4…..
Whole Numbers: 0, 1, 2, 3, 4…..
Integers: ….-2, -1, 0, 1, 2 …..
Rational Numbers: Any number which can be expressed
as a ratio of two integers for example a p/q format
where ‘p’ and ‘q’ are integers. Proper fraction will have
Factors: A positive integer ‘f’ is said to be a factor of a
given positive integer 'n' if f divides n without leaving a
remainder. e.g. 1, 2, 3, 4, 6 and 12 are the factors of 12.
Prime Numbers: A prime number is a positive number
which has no factors besides itself and unity.
Composite Numbers: A composite number is a number
which has other factors besides itself and unity.
Factorial: For a natural number 'n', its factorial is
defined as: n! = 1 x 2 x 3 x 4 x .... x n (Note: 0! = 1)
Funda: The product of ‘n’ consecutive natural numbers
is always divisible by n!
Funda: Square of any natural number can be written in
the form of 3n or 3n+1. Also, square of any natural
number can be written in the form of 4n or 4n+1.
Funda: Square of a natural number can only end in 0, 1,
4, 5, 6 or 9. Second last digit of a square of a natural
number is always even except when last digit is 6. If the
last digit is 5, second last digit has to be 2.
Funda: Any prime number greater than 3 can be written
as 6k 1.
Funda: Any two digit number ‘pq’ can effectively be
written as 10p+q and a three digit number ‘pqr’ can
effectively be written as 100p+10q+r.
Laws of Indices