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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.
The solved questions answers in this Test: Set Notations quiz give you a good mix of easy questions and tough questions. JEE
students definitely take this Test: Set Notations exercise for a better result in the exam. You can find other Test: Set Notations extra questions,
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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 the required set i.e., **{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 irrespective of the order of elements. - Since options,
**B & D**have the exact same number of elements in them. So they 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, this collection is not a set.**

**(d) **The collection of the 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:

- We know that, 1
^{2}= 1, 2^{2}= 4, 3^{2}= 9, 4^{2}= 16, 5^{2}= 25 - Therefore the set A = {1, 4, 9, 16, 25...} can be written in set builder form as:

A = {x: x is the square of a natural number}

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.
- Therefore A is an
**empty set**.

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:

Since none of the odd number is divisible by 2, so it would be a** 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 by**{ }**. - 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

### Sign Convention and Notations for Internal Forces

Doc | 2 Pages

- Test: Set Notations
Test | 10 questions | 10 min

- Test: Simpler Notations
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- Test: Set Theory- 1
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- Test: Set Theory- 2
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- Test: Set Theory- 3
Test | 15 questions | 15 min