CAT Exam  >  CAT Questions  >  In a survey of 100 people: 40 people like tea... Start Learning for Free
In a survey of 100 people:
  • 40 people like tea.
  • 50 people like coffee.
  • 30 people like juice.
  • 20 people like both tea and coffee.
  • 10 people like both coffee and juice.
  • 15 people like both tea and juice.
  • 5 people like all three drinks.
How many people do not like any of these drinks?
  • a)
    20
  • b)
    30
  • c)
    40
  • d)
    25
Correct answer is option 'A'. Can you explain this answer?
Most Upvoted Answer
In a survey of 100 people: 40 people like tea. 50 people like coffee. ...
Let:
  • T = number of people who like tea = 40
  • C = number of people who like coffee = 50
  • J = number of people who like juice = 30
  • T ∩ C = number of people who like both tea and coffee = 20
  • C ∩ J = number of people who like both coffee and juice = 10
  • T ∩ J = number of people who like both tea and juice = 15
  • T ∩ C ∩ J = number of people who like all three = 5
Using the formula for the union of three sets:
|T ∪ C ∪ J| = |T| + |C| + |J| - |T ∩ C| - |C ∩ J| - |T ∩ J| + |T ∩ C ∩ J|
Substitute the values:
|T ∪ C ∪ J| = 40 + 50 + 30 - 20 - 10 - 15 + 5 = 80
People who do not like any of these drinks:
100 - 80 = 20
Answer: 20 people do not like any of these drinks.
Attention CAT Students!
To make sure you are not studying endlessly, EduRev has designed CAT study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CAT.
Explore Courses for CAT exam
In a survey of 100 people: 40 people like tea. 50 people like coffee. 30 people like juice. 20 people like both tea and coffee. 10 people like both coffee and juice. 15 people like both tea and juice. 5 people like all three drinks.How many people do not like any of these drinks?a)20b)30c)40d)25Correct answer is option 'A'. Can you explain this answer?
Question Description
In a survey of 100 people: 40 people like tea. 50 people like coffee. 30 people like juice. 20 people like both tea and coffee. 10 people like both coffee and juice. 15 people like both tea and juice. 5 people like all three drinks.How many people do not like any of these drinks?a)20b)30c)40d)25Correct answer is option 'A'. Can you explain this answer? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about In a survey of 100 people: 40 people like tea. 50 people like coffee. 30 people like juice. 20 people like both tea and coffee. 10 people like both coffee and juice. 15 people like both tea and juice. 5 people like all three drinks.How many people do not like any of these drinks?a)20b)30c)40d)25Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a survey of 100 people: 40 people like tea. 50 people like coffee. 30 people like juice. 20 people like both tea and coffee. 10 people like both coffee and juice. 15 people like both tea and juice. 5 people like all three drinks.How many people do not like any of these drinks?a)20b)30c)40d)25Correct answer is option 'A'. Can you explain this answer?.
Solutions for In a survey of 100 people: 40 people like tea. 50 people like coffee. 30 people like juice. 20 people like both tea and coffee. 10 people like both coffee and juice. 15 people like both tea and juice. 5 people like all three drinks.How many people do not like any of these drinks?a)20b)30c)40d)25Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for CAT. Download more important topics, notes, lectures and mock test series for CAT Exam by signing up for free.
Here you can find the meaning of In a survey of 100 people: 40 people like tea. 50 people like coffee. 30 people like juice. 20 people like both tea and coffee. 10 people like both coffee and juice. 15 people like both tea and juice. 5 people like all three drinks.How many people do not like any of these drinks?a)20b)30c)40d)25Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of In a survey of 100 people: 40 people like tea. 50 people like coffee. 30 people like juice. 20 people like both tea and coffee. 10 people like both coffee and juice. 15 people like both tea and juice. 5 people like all three drinks.How many people do not like any of these drinks?a)20b)30c)40d)25Correct answer is option 'A'. Can you explain this answer?, a detailed solution for In a survey of 100 people: 40 people like tea. 50 people like coffee. 30 people like juice. 20 people like both tea and coffee. 10 people like both coffee and juice. 15 people like both tea and juice. 5 people like all three drinks.How many people do not like any of these drinks?a)20b)30c)40d)25Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of In a survey of 100 people: 40 people like tea. 50 people like coffee. 30 people like juice. 20 people like both tea and coffee. 10 people like both coffee and juice. 15 people like both tea and juice. 5 people like all three drinks.How many people do not like any of these drinks?a)20b)30c)40d)25Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice In a survey of 100 people: 40 people like tea. 50 people like coffee. 30 people like juice. 20 people like both tea and coffee. 10 people like both coffee and juice. 15 people like both tea and juice. 5 people like all three drinks.How many people do not like any of these drinks?a)20b)30c)40d)25Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice CAT tests.
Explore Courses for CAT exam

Top Courses for CAT

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