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This mock test of Test: Set Notations for JEE helps you for every JEE entrance exam.
This contains 10 Multiple Choice Questions for JEE Test: Set Notations (mcq) to study with solutions a complete question bank.
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QUESTION: 1

The set {x : x is an odd number between 10 and 18}

Solution:

Odd numbers between 10 and 18 are 11,13,15,17 so these all terms will be a part of required set.

{11,13,15,17}

QUESTION: 2

From the sets given below, select equal sets :

A = { 2, 4, 8, 12},

B = {1, 2, 3, 4},

C = {4, 8, 12, 14},

D = {3, 1, 4, 2}

Solution:

The **sets** are **equal**, if they have the exact same elements in them. Since option B & D have exactly same number of elements in them order does not matter. So, B & D are equal sets.

QUESTION: 3

Which of the following is a set ?

Solution:

**(a)** The collection of all months of a year is a well-defined collection of objects because one can definitely identify a month that belongs to this collection. **Hence, this collection is a set.**

**(b)** A collection of novels is not a well-defined collection because one cannot identify a book that belongs to this collection. **Hence, this collection is not a set.**

**(c) **A collection of top rich persons can not be defined, hence it is not a collection of set. **Hence, this collection is not a set.**

**(d) **The collection of ten most talented writers of India is not a well-defined collection because the criteria for determining a writer's talent may vary from person to person. **Hence, this collection is not a set.**

QUESTION: 4

If Q = {x : x = 1/y, where y ∈ N}, then

Solution:

As y ∈ N, y can be 1, 2, 3, 4...

∴ x will be 1, 1/2, 1/3, 1/4...

⇒ 1 ∈ Q

QUESTION: 5

Write A = {1, 4, 9, 16, 25} in set builder form.

Solution:

The set A = {1, 4, 9, 16, 25...} can be written in set builder form as A = {x ^{2}: x ε N}

QUESTION: 6

A = { x : x ≠ x } represents

Solution:

According to this , x should be a number which is not equal to the number itself and there is no number which is not equal to the number itself.

QUESTION: 7

If A = {3, 6, 9, 12} and B = {6, 8, 9} then intersection of A and B is

Solution:

An intersection is the collection of all the elements that are common to all the sets under consideration.

Here element 6 & 9 are common in both the sets. So option C is correct .

QUESTION: 8

Which of the following is a finite set?

Solution:

A **finite set** is a **set** that has a **finite** number of elements.

Since x^{2} – 25 = 0 has finite number of elements. So it is a finite set.

QUESTION: 9

Identify the null set from the following

Solution:

Because neither of the odd no. is divisible by 2 so it would be null set

QUESTION: 10

Which of the following has only one subset?

Solution:

Every set has the empty set as a subset. So if a set has 1 element, like {0}, then it will have 2 subsets: itself and the empty set, which is denoted { }.

So, if a set has only one subset, then this set must be the empty set.

### Appendix A - Units, Notations & General Data

Doc | 10 Pages

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