Question

The natural number which is multiple of every number is ______________
A) 0.
B) 1
C) there is no such number.
D) None of these

Answer 1

Hint: Here the question is related to the number system, which is particularly to the topic of the different kinds of numbers. To solve this question we have to know about the different kinds of numbers and the factors of the numbers. Hence we can determine the required solution.

Complete step-by-step solution:
In mathematics, we come across different types or different kinds of numbers. Let we discuss the different kinds of numbers.
In mathematics, we have different kinds of numbers namely, natural numbers, whole numbers, integers, rational numbers, irrational numbers and real numbers.
Natural numbers are defined as counting numbers.
Whole numbers are defined as the counting numbers and along with it 0.
Integers are defined as positive and negative numbers of whole numbers.
Rational numbers are defined as the numbers is in the form of \[\dfrac{p}{q}\]
Irrational numbers are defined as numbers that are not rational.
Real numbers are defined as the combination of irrational and rational numbers.
Now we consider the given question, The natural number which is multiple of every number.
On considering the options we solve the question
the option a) is 0. The zero does not belong to the natural number. Therefore the option a is wrong.
Now we will consider some numbers from the different kinds of numbers.
For example: \[2,\, - 5,\,\dfrac{5}{6},\,\sqrt 2 \]
Let we write the factors for these numbers
\[ \Rightarrow 2 = 1,\,2\]
\[ \Rightarrow - 5 = 1, - 1,5\]
\[ \Rightarrow \dfrac{2}{4} = 1,\dfrac{1}{2},\dfrac{2}{4}\]
\[ \Rightarrow \sqrt 2 = 1,\sqrt 2 \]
The common factor of these numbers is 1.
Therefore the natural number which is multiple of every number is 1

Thus the correct answer is option ‘B’.

Note: A number can have an infinite number of multiples. Therefore, any two numbers or set of numbers can have an infinite number of common multiples. To justify our answers we have to know about the actual topic in a deep way. Here the question is related to the numbers so we have to know about the different kinds of numbers. When we explain the given statements with an example then we can understand the topic clearly.