Test: Operations On Sets - JEE MCQ

# Test: Operations On Sets - JEE MCQ

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## 10 Questions MCQ Test Mathematics (Maths) for JEE Main & Advanced - Test: Operations On Sets

Test: Operations On Sets for JEE 2024 is part of Mathematics (Maths) for JEE Main & Advanced preparation. The Test: Operations On Sets questions and answers have been prepared according to the JEE exam syllabus.The Test: Operations On Sets MCQs are made for JEE 2024 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for Test: Operations On Sets below.
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Test: Operations On Sets - Question 1

### Which of the following two sets are disjoint?

Detailed Solution for Test: Operations On Sets - Question 1

{1,3,5}&{2,4,6} are disjoint sets.

Explanation:

In {1,3,5} & {1,3,6} 1 and 3 is the same numbers.

In {1,2,3} & {1,2,3} 1,2 and 3 is the same numbers.

In {1,3,5} & {2,3,4} 3 is the same number.

In {1,3,5} & {2,4,6} not any numbers are same.

Test: Operations On Sets - Question 2

### The Shaded region in the following figure illustrates

Detailed Solution for Test: Operations On Sets - Question 2

First which region is over which region Then We will see that A is on the B so A intersection B and after C is on the A so, A intersection C after that we have to take all intersection part so A intersection B is Union with A intersection C.

The shaded region represents (A ∩ B) ∪ (A ∩ C).

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Test: Operations On Sets - Question 3

### Shaded region in the following figure illustrates

Detailed Solution for Test: Operations On Sets - Question 3

P U Q means P Union Q In set theory, the union (denoted by ∪) of a collection of sets is the set of all elements in the collection. It is one of the fundamental operations through which sets can be combined and related to each other.

Test: Operations On Sets - Question 4

If the sets A and B are defined as= {(xy) : ex∈ R}; = {(xy) : x,∈ R}, then

Detailed Solution for Test: Operations On Sets - Question 4

Since,ex andx do not meet for any∈ R∩ φ.

Test: Operations On Sets - Question 5

The intersection of the sets {1, 2, 5} and {1, 2, 6} is the set ______

Detailed Solution for Test: Operations On Sets - Question 5

The intersection of the sets A and B, is the set containing those elements that are in both A and B.

Test: Operations On Sets - Question 6

From the following Venn diagram, A ∩ (B ∪ C) is

Detailed Solution for Test: Operations On Sets - Question 6

Explanation:- B = {3,5,6,7}   C = {7,8,9}

A = {2,4,6,8}

A⋂(B⋂C) = {6,8}

Test: Operations On Sets - Question 7

If= {x is a multiple of 3} and= {x is a multiple of 5}, then A - B is

Detailed Solution for Test: Operations On Sets - Question 7

Test: Operations On Sets - Question 8

From the following venn diagram, A ∩ B is

Detailed Solution for Test: Operations On Sets - Question 8

A ∩ B = {4, 3}

Test: Operations On Sets - Question 9

In probability, the event ‘A or B’ can be associated with set:

Detailed Solution for Test: Operations On Sets - Question 9

Probability of event A or B

The probability that Events A and B both occur is the probability of the intersection of A and B. The probability of the intersection of Events A and B is denoted by P(A ∩ B). If Events A and B are mutually exclusive, P(A ∩ B) = 0. The probability that Events A or B occur is the probability of the union of A and B.

Test: Operations On Sets - Question 10

If A and B are two given sets, then∩ (∩ B') is equal to

Detailed Solution for Test: Operations On Sets - Question 10

The expression A ∩ B' denotes the elements that are in A but not in B. When you take the intersection of A with A ∩ B', you're essentially filtering A by itself (which does nothing to A) and then further by the condition that elements are not in B.

So, the result will still be the elements that are in A but not in B, since all elements of A ∩ B' are by definition in A. Therefore, A ∩ (A ∩ B') is equivalent to A ∩ B', which is Option A in your list of options.

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## Mathematics (Maths) for JEE Main & Advanced

209 videos|443 docs|143 tests