Here we have given the solutions of some important questions of chapter 1 (Set Theory) of NCERT Exemplar book .

Short answer type questions

**1. Write the following sets in the roaster form**

**(i)**

**(ii)**

**(iii)**

**Sol. (i) **On solving the equation

Thus

**(ii) **gives

Thus

**(iii) **Since every prime no. has only two factors 1 and number itself. This implies

** **

**2. Write the following sets in the roaster form:**

**(i) **

**(ii) **

**(iii) **

**Sol. (i)** On solving , we get

Thus

**(ii) ** implies

It gives .

Thus

**(iii) ** We have

This implies

Therefore .

**Q3. If **

**. Write in the roaster form.**

sol.

**.**

Since is prime number , it has only two factors 1 and (

^{2},2

^{3},…,

**Q4**.

**, and
are subsets of Universal Set . If
and is the set of all whole numbers, draw a Venn diagram showing the relation of
and .**

**Sol. **Here

Therefore ,

Hence, the Venn diagram showing relation of given sets is:

** **

**5. Determine whether the statement given below is true or false. Justify your answer.**

** For all sets **

**, and
, **

**Solution: **Let

**,**

then . This implies

Now , this implies

From (i) and (ii) , it is clear that .

We can also show that the given expression is false by using Venn Diagrams

Now, from the Venn diagrams, it is clear that