Question

The set S={1,4,9,16,25,36} in the descriptive form is
A.{Squares of naturals numbers}
B.{x|x is a square of a natural number}
C.The set of squares of first six natural numbers
D.$x|x=x^2,n\in N\text{ and }n⩽6$

Answer 1

Hint: Descriptive form is nothing other than saying about the elements of the set in words. The description must allow a concise determination of which elements belong to the set and which elements do not.

Complete step-by-step answer:
Step 1:
Here our given set is $S=\{1,4,9,16,25,36\}$.
It is clearly understood that each and every element of the set is a perfect square.
(i.e.)
$\begin{array}{c}{1}^2=1\\ 2^2=4\\ 3^2=9\\ 4^2=16\\ 5^2=25\\ 6^2=36\end{array}$
Step 2:
So it is clear that it is a set of perfect squares .
But ,we can see that we have only 6 elements,that is we have only the squares of the first six natural numbers
Step 3:
In descriptive form, we need to describe the elements in words ,just in a simple sentence.There is no need to use set braces while writing in descriptive form and everything should be said in words and not using symbols.
Step 4:
Therefore ,the descriptive form of the above set is that it is the set of squares of the first six natural numbers.
The correct option is C

Note: Descriptive form is one way to specify a set by giving verbal description of its elements.
Descriptive form is also known as statement form
The other two types of representing a set are set builder form and roster form.