A town has a total population of 50,000. Out of it 28,000 read the newspaper X and 23000 read Y while 4000 read both the papers. The number of persons not reading X and Y both isa)2000b)3000c)2500d)none of theseCorrect answer is option 'B'. Can you explain this answer?

Question

Answer

Solution:Given, Total Population (TP) = 50,000Number of people reading newspaper X (NX) = 28,000Number of people reading newspaper Y (NY) = 23,000Number of people reading both X and Y = 4,000To find: Number of people not reading X and YApproach:We can solve this problem using the Venn diagram approach. We will draw a Venn diagram with two circles representing newspapers X and Y. We know that 4,000 people read both newspapers. We will place them in the intersection of the circles. We also know that 28,000 people read newspaper X and 23,000 people read newspaper Y. We will place them in the respective circles. Now, we need to find the number of people who do not read either X or Y. We will place them outside both circles.Steps:1. Draw a Venn diagram with two circles representing newspapers X and Y. Label the intersection as X ∩ Y.2. Write the given values in the respective regions of the Venn diagram.   - NX = 28,000 (region representing X but not Y)   - NY = 23,000 (region representing Y but not X)   - X ∩ Y = 4,000 (region representing both X and Y)3. Find the total number of people who read either X or Y or both.   - NX + NY - X ∩ Y = 28,000 + 23,000 - 4,000 = 47,0004. Find the number of people who do not read either X or Y.   - TP - (NX + NY - X ∩ Y) = 50,000 - 47,000 = 3,000Answer: The number of persons not reading X and Y both is 3,000.Therefore, option (b) 3000 is the correct answer.

Answer

Bzelcdvrvam  sbckecx ndlecrc  fkrqvfebvkc fneqrqc CBS qdh favorite sbcbksbe ekgoeed kshcoee

Answer

Solution -
total = 50,000
people reading X or Y = 28000+23000-4000=47000
now, people not reading X and Y = 50,000-47,000=3000

Similar CA Foundation Doubts

A town has a total population of 50,000. Out of it 28,000 read the newspaper X and 23,000 read Y while 4000 read both the papers. The number of persons not reading X and Y both is

In a city 60%reas newspaper A,50%read newspaper B and 40%read newspaper C,35%read A nd B ,28%read A nd C ,30%readB nd C also20%read papers A , B andC. The percentage of people who do not read any of these newspaper is:?

In a colony, 2/5 of the families read The Hindu and 3/4" of the families read Deccan Chronicle newspaper. If 40 families read none of two newspaper and 100 families read both, then the number of families in the colony is

5 persons are sitting in a round table in such way that Tallest Person is always on the right–side of the shortest person; the number of such arrangements is (

The average number of advertisement per page appearing in a newspaper is 3. what is the probability that in a particular page zero number of advertisement are there?

Top Courses for CA FoundationView all

Quantitative Aptitude for CA Foundation

Accounting for CA Foundation

Business Laws for CA Foundation

Business Economics for CA Foundation

Mock Tests & Past Year Papers for CA Foundation

Top Courses for CA Foundation

Top Courses for CA Foundation

Related Content

CA Foundation Courses

Other Courses

How To Prepare?

Other Exams

Company