Multiple Choice Questions on In a group of 100 persons 72 people can speak English and 43 can speak French How many can speak Eng........... for Mathematics - All Exams Preparation

Back to Main Page

Multiple Choice Questions

In a group of 100 persons 72 people can speak English and 43 can speak French How many can speak Eng...........

Quantitative Aptitude ( CCS) Set theory
    Download Solution PDF

    In a group of 100 persons, 72 people can speak English and 43 can speak French. How many can speak English only? How many can speak French only and how many can speak both English and French?

    22

    Incorrect Answer

    25

    Incorrect Answer

    28

    Correct Answer

    32

    Incorrect Answer
    छोटे Courses बड़े Results
    Master Set theory
    Prepare through Micro-courses
    Try Now
    Explanation:

    Let A be the set of people who speak English.

    B be the set of people who speak French.
    A - B be the set of people who speak English and not French.
    B - A be the set of people who speak French and not English.
    A ∩ B be the set of people who speak both French and English.
    Given,
    n(A) = 72
    n(B) = 43
    n(A ∪ B) = 100
    Now, n(A ∩ B) = n(A) + n(B) - n(A ∪ B)
    = 72 + 43 - 100
    = 115 - 100
    = 15
    Therefore, Number of persons who speak both French and English = 15
    n(A) = n(A - B) + n(A ∩ B) ⇒
    n(A - B) = n(A) - n(A ∩ B)
    = 72 - 15
    = 57
    and n(B - A) = n(B) - n(A ∩ B)
    = 43 - 15
    = 28
    Therefore, Number of people speaking English only = 57
    Number of people speaking French only = 28

    By: Amit Kumar
    ProfileResources

    Let's Discuss

    Master
    Set theory
    With abhipedia
    Micro Courses
    Try Now
    What our students have to say
    Review on us
    Download Abhipedia Android App

    Access to prime resources

    Downlod from playstore
    download android app download android app for free