Category : 1st Class
Introduction
Comparison enables us to identity what is greater or smaller between two objects and what is greatest and smallest among more than two objects.
For example, if we compare
&
, it is clear thatis bigger number but if we compare
&
then
is the smallest andis the biggest number.
Whilecomes between&therefore, it is greater or bigger than but smaller or less than.
Comparison of Numbers
Let us see the given below examples:
It means thatis greater thanand '>'is the sign of 'greater than' or bigger than 'or more than'
is read as:
(a) is greater than
(b) is bigger than
(c) is more than
is also written as
and read asis less than
Therefore, it is clear that the mouth of the sign '>' is open to the side of the greater or bigger number.
Howis a greater number betweenand 3?
For that we apply vertical line trick:
When counted
is more than
Hence Take another example:
Which one is bigger between
and
?
Clearly
is more than
or
and
or
It means the numberhas two digits and the numberhasdigit. Therefore,is greater than Take another example:
If we compare
and
Then:
or
has three digits andhas two digits. Therefore,is greater than.
If the two numbers have equal number of digits then the digits at extreme left are compared and the number with greater digit is greater.
If we compare
andthen:
or
To find this result we compare the two numbers.
While comparing two digit numbers, if extreme left digits are equal or same then we compare the next digits to the right and so on. In this case also the number with greater digit is greater.
When we compare 
and
or
Therefore,
1. Which one of the given below options is false?
(a)1 > 9
(b) 4 > 3
(c) 5 > 3
(d) 9 > 8
Answer: (a)
Explanation
Option (a) is correct because:
Hence, 
Option (b) is incorrect as it is true. Let's check:
Hence,
Option (c) is incorrect as it is true. Let's check:
Hence,
Option (d) is incorrect as it is true. let us check:
Hence, 
14 > 10 will be read as____.
(a) 10 is greater than 14
(b) 14 is less than 10
(c) 10 is bigger than 14
(d) 14 is greater than 10
Answer: (d)
Expiation
is read as "14 is greater than 10"
Smaller Numbers
See the following examples:
It meansis less than 3 and '<' is the sign of 'less than' or 'smaller than'.
Hence,is read as:
(a) is smaller than
(b) is less than
is also written as. So it is clear that the mouth of the sign '<' is closed to the side of the smaller number. Howis smaller in?
For this, Let's see the vertical line trick:
When counted
is less than
Hence,
Take another example:
Which one is smaller when andare compared?
Here we have
Clearlyis less than
Hence, 
or
Other Rules
Rule 1: If a number has less digits than another, it is smaller of the two. If we have
and
Then 
or
Let us take another example:
If we compare
and
Then 
or
Rule2: If the two numbers have equal number of digits then the digits on extreme left are compared and the number with smaller digit is smaller. When
and
are compared then
is true.
To know how is it possible just see the trick given below:
Thus
And hence,
Rule3: While comparing two digit numbers, if extreme left digits are same then we compare the second digit from left. In this case also, the number with smaller digit is smaller.
When we compare
and
Then
or
Trick:
Here
Hence,
Just see the numbers inside the egg given below and find out which one is the smallest?
(a) 15
(b) 16
(c) 10
(d) 9
Answer: (d)
Explanation
The only single digit number given. Rest of the options is incorrect because they are double digit numbers and therefore, bigger than
Which one is wrong?
(a) 
(b) 
(c) 
(d)
Answer: (d)
Explanation
Option (d) is correct because it is wrong.
Let's check
Hence,
or
Option (a) is incorrect because it is true.
Let's check:
Hence,
Option (b) is incorrect because it is true. In fact 2 digits number 10 is greater than 5.
Option (c) is incorrect because it is true Let's check:
Hence, 
or
Equal Numbers
Equal means neither greater nor less than.
Let's consider
and
These numbers are equal because if one or more zeroes is put before any number, the number remains unchanged. Thusandcan be written as:
or
Where '=' is the sign of equal
And is read as,
is equal to
Similarly take another example:
and
is equal and they can be written as
or
Which one of the following pair of numbers is not equal?
(a) 2 and 02
(b) 02 and 2
(c) 002 and 2
(d) 20 and 2
Answer: (d)
Explanation
is a double digit number andis a single digit number. So
.
Choose the incorrect statement.
(a) 05 and 5 are equal
(b) 60 and 06 are equal
(c) 07 and 007 are equal
(d) 08 and 8 are equal
Answer: (b)
Explanation
is equal toand
or
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