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Which is the smallest two digit odd number?

Answer
VerifiedVerified
496.5k+ views
Hint: As the question suggests, firstly we have to take all the two digit numbers that are positive. Secondly, we have to separate the odd numbers and even numbers by dividing all the two digit numbers by the number two. Then the odd numbers separated should be further examined to find the smallest number and we get the required result.

Complete step-by-step answer:
Let us gather some basic knowledge about “NUMBERS”. Numbers are “Mathematical objects” used to count, measure and label. Numbers can be represented in language using number words, i.e., \[1\left( one \right),2\left( two \right),3\left( three \right),4\left( four \right)\] and so on. Universally, numbers can be represented by symbols called “numerals”; for example “Five” can be represented by the symbol\[''5''\]. There are five basic types of numbers namely “Natural Numbers”, “Whole Numbers”, “Integers”, “Rational Numbers” and

“Real Numbers”. Natural Numbers (N) are sets of all positive numbers from “ONE to INFINITY” \[\left( 1,2,3,4,............ \right)\]. Whole Numbers (W) are sets of numbers consisting of natural numbers with “ZERO”\[\left( 0,1,2,3,4,............ \right)\]. Integers (Z) are a set of all whole numbers with all negative numbers\[\left( .......,-2,-1,0,1,2,....... \right)\].

Rational Numbers (Q) are set of fractions of integers\[\left( \dfrac{2}{7},\dfrac{3}{5},\dfrac{-4}{3},....... \right)\], but denominator cannot be zero. Real Numbers (R) are called measuring numbers and include all decimal numbers\[\left( 0.3333,7.4583,-0.089,........ \right)\].
Here, in this problem we shall talk about the odd and even numbers. “ODD NUMBERS” are the numbers that are never divisible by the number two. These numbers include all the numbers from “One” to “Infinity” that are not divisible by the number two.
For Example\[\to 1,3,5,7,9,11,........\], etc.

”EVEN NUMBERS” are just the vice versa of “ODD NUMBERS”. These numbers include all the numbers that are divisible by the number two.
For Example\[\to 2,4,6,8,10,.......\], etc.
So, according to the above data we can conclude that two digit numbers are from \[10\] to \[99\]. But, the first two digit number is \[10\], which is an even number. But, we have to search for the next smallest two digit number. The number just next to \[10\] is \[11\] and this is an odd number.
So, the smallest two digit odd number is \[11\].
The final answer is \[11\].
So, the correct answer is “11”.

Note: When we add two odd numbers the sum comes out to be an even number. Similarly, when we add an odd number and an even number the sum always comes out to be an odd number. ZERO is the only number that has no Roman Number representation. ZERO is a real number, integer, rational number and whole number that is neither positive nor negative.