Test: Set Notations


10 Questions MCQ Test Mathematics (Maths) Class 11 | Test: Set Notations


Description
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, long questions & short questions for JEE on EduRev as well by searching above.
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 yN}, 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 2x ε N}

QUESTION: 6

A = { x:xx } 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:

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

Since  x2 – 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 23=8. But since proper subset does not include all the elements of the given set, total number of proper subsets=8-1=7

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