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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:

Set {8, 1, 64, 75, 27}

All the elements are perfect cubes

Odd element is: 75

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 So, B & D are equal sets.

QUESTION: 3

Which of the following is a set ?

Solution:

The collection of all the months of a year is correct as all the other options have elements which are subjective (different for different people).

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:

A set in which a number is not eual to itself 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:

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:

**The correct option is D. **

**Since we have three elements the total number of subsets are 2 ^{3}=8. But since proper subset does not include all the elements of the given set, total number of proper subsets=8-1=7**

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

Doc | 10 Pages

### Sign Convention and Notations for Internal Forces

Doc | 2 Pages

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