JEE Exam  >  JEE Questions  >  From the sets given below, select equal sets ... Start Learning for Free
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}
  • a)
    A and C
  • b)
    A and B
  • c)
    B and D
  • d)
    B and C
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
From the sets given below, select equal sets :A = { 2, 4, 8, 12}, B = ...
 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. 
View all questions of this test
Most Upvoted Answer
From the sets given below, select equal sets :A = { 2, 4, 8, 12}, B = ...
Let's solve this problem step by step.

Given:
Total number of persons = 150
Number of persons taking tea = 75
Number of persons taking coffee = 60
Number of persons taking milk = 50
Number of persons taking both tea and coffee = 15

Let's represent the different sets of people as follows:
T = Set of people taking tea
C = Set of people taking coffee
M = Set of people taking milk

We are given the following information:
|T| = 75
|C| = 60
|M| = 50
|T ∩ C| = 15
|M ∩ T| = 0

We need to find the number of people taking milk only, which means we need to find |M - (T ∪ C)|.

Step 1: Finding |T ∪ C|
We can find the number of people who take either tea or coffee by using the principle of inclusion-exclusion:
|T ∪ C| = |T| + |C| - |T ∩ C|
= 75 + 60 - 15
= 120

Step 2: Finding |M - (T ∪ C)|
We can find the number of people taking milk only by subtracting the number of people taking either tea or coffee from the total number of people taking milk:
|M - (T ∪ C)| = |M| - |T ∪ C|
= 50 - 120
= -70

But the number of people cannot be negative, so we need to consider the absolute value of the result:
|M - (T ∪ C)| = |-70|
= 70

Therefore, the number of people taking milk only is 70.

So, the correct answer is option C) 30.
Free Test
Community Answer
From the sets given below, select equal sets :A = { 2, 4, 8, 12}, B = ...
b and d are equal sets beacuse the elemnts present in both b and d r same
Explore Courses for JEE exam
Question Description
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}a)A and Cb)A and Bc)B and Dd)B and CCorrect answer is option 'C'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about 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}a)A and Cb)A and Bc)B and Dd)B and CCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for 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}a)A and Cb)A and Bc)B and Dd)B and CCorrect answer is option 'C'. Can you explain this answer?.
Solutions for 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}a)A and Cb)A and Bc)B and Dd)B and CCorrect answer is option 'C'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of 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}a)A and Cb)A and Bc)B and Dd)B and CCorrect answer is option 'C'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of 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}a)A and Cb)A and Bc)B and Dd)B and CCorrect answer is option 'C'. Can you explain this answer?, a detailed solution for 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}a)A and Cb)A and Bc)B and Dd)B and CCorrect answer is option 'C'. Can you explain this answer? has been provided alongside types of 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}a)A and Cb)A and Bc)B and Dd)B and CCorrect answer is option 'C'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice 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}a)A and Cb)A and Bc)B and Dd)B and CCorrect answer is option 'C'. Can you explain this answer? tests, examples and also practice JEE tests.
Explore Courses for JEE exam

Top Courses for JEE

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev