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Exam (elaborations) CAT

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This document has questions and answers for CAT preparation on Number System in Quantitative Aptitude topic

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What is Numbers 101?
Numbers 101 is the first class of Numbers and covers each and
every concept of numbers.

What are the three parts of Numbers 101?
The three parts of Numbers 101 are Concept videos, Quizzes
and their solutions, and Previous year CAT questions and their
solutions.

What types of numbers are there?
The two types of numbers are real numbers and imaginary
numbers.

What is the difference between rational and irrational
numbers?
Rational numbers can be written as p by q, where p and q
belong to the set of integers, and q is not equal to zero.
Irrational numbers cannot be expressed in this form and are
typically numbers with an infinite decimal expansion that does
not repeat in a pattern.

What is the importance of Iota?
Iota is the only important imaginary number to remember,
which is equal to the square root of minus one.

What are rational numbers?
Rational numbers can be written in the form of p by q where p
and q are integers and q is not equal to zero.

What are irrational numbers?
Irrational numbers cannot be written in the form of p by q and
include numbers like root 2 and root 5. Recurring decimals with
no fixed pattern are also irrational numbers.

What are some examples of rational numbers?
Non-terminating decimals with a fixed pattern are rational
numbers and can be written in the form of p by q. Examples
include 0.333... which is equal to 1/3, and 0.232323... which
can be written as 23/99.

How can you convert a repeating decimal to p by q?
To convert a repeating decimal to p by q, assume x is equal to
the decimal and multiply by a power of 10 to eliminate the
repeating portion. Then, subtract the original equation from the

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