In a survey of 60 people, it was found that 25 people read newspaper H, 26 read newspaper I, 26 read newspaper T, 9 read both H and I, 11 read both H and T, 8 read both T and I, 3 read all three newspapers. Find the number of students who read exactly one newspaper.?

22
30
25
None of these

LohaHridoy

9 views

2025-01-04 04:42

1 Answers

AhmedNazir

Option 2 : 30

Given:

n(H) = 25

n(I) = 26

n(T) = 26

n(H ∩ I) = 9

n(H ∩ T) = 11

n(T ∩ I) = 8

n(H ∩ T ∩ I) = 3

Formula used:

n(H [ alt="gif" src="https://entrancecorner.codecogs.com/gif.latex?%5Ccup" style="border-style: none; max-width: 95%; "> T [ alt="gif" src="https://entrancecorner.codecogs.com/gif.latex?%5Ccup" style="border-style: none; max-width: 95%; "> I) = n(H) + n(I) + n(T) - n(H ∩ I) - n(H ∩ T) - n(T ∩ I) + n(H ∩ T ∩ I)

Calculation:

The number of students who read at least one of the newspapers = 25 + 26 + 26 - 9 - 11 - 8 + 3 = 52

The number of students who read exactly one newspaper = The number of students who read at least one of the newspapers - n(H ∩ I) - n(H ∩ T) - n(T ∩ I) + 2n(H ∩ T ∩ I)

⇒ 52 - 9 - 11 - 8 + 6

⇒ 30

∴ The number of students who read exactly one newspaper is 30.

9 views Answered 2022-09-04 04:29

Related Questions

In a survey of 100 students, it was found that 25 students have enrolled for Navy AA test series, 26 students have enrolled for NDA test series, 26 students have enrolled for Airforce group X test series, 9 students have enrolled for both Navy AA and Airforce group X test series, 11 students have enrolled for both Navy AA and NDA test series, 8 students have enrolled for both NDA and Airforce group X test series whereas 3 students have enrolled in all three test series. Find the number of students who has not enrolled in any of the test series.?

1 Answers 4 Views

In a survey of 100 students, it was found that 25 students have enrolled for Navy AA test series, 26 students have enrolled for NDA test series, 26 students have enrolled for Airforce group X test series, 9 students have enrolled for both Navy AA and Airforce group X test series, 11 students have enrolled for both Navy AA and NDA test series, 8 students have enrolled for both NDA and Airforce group X test series whereas 3 students have enrolled in all three test series. Find the number of students who have enrolled exactly in any two test series.?

1 Answers 7 Views

In a survey of 100 students, it was found that 25 students have enrolled for Navy AA test series, 26 students have enrolled for NDA test series, 26 students have enrolled for Airforce group X test series, 9 students have enrolled for both Navy AA and Airforce group X test series, 11 students have enrolled for both Navy AA and NDA test series, 8 students have enrolled for both NDA and Airforce group X test series whereas 3 students have enrolled in all three test series. Find the number of students who have enrolled in exactly one test series.?

1 Answers 4 Views

In a recently conducted scholarship exam, testbook has awarded 70 students. Out of which 38 students were awarded with tablet, 15 students were awarded with laptop, 20 students were awarded with smartphone, 5 students were awarded with tablet and laptop, 3 students were awarded with laptop and smartphone whereas 2 students were awarded with tablet and smartphone. Find the number of students who were awarded with all three.?

1 Answers 5 Views

A group of 74 students of Class XI went on picnic. The number of students who went on picnic by each section is as follows: Section A = 15 Section B = 24 Section C = 15 Section D = 20 5 students from Section A spent as much as 4 students from Section B. 12 Section B students spent as much as 9 Section C students and 6 Section C students spent as much as 8 Section D student. If every student of a particular section spent the same amount and all the students spent Rs. 23,370 altogether, find the amount spent by each student of Section D?

1 Answers 4 Views

Each question presents a situation and asks you to make a judgement regarding that particular circumstance. Choose an answer based on given information. Himanshu and his two friends were walking on the footpath along the road. Suddenly a car drove by and hit a man, who was crossing the road. Each of them remembers certain number of the 6-digit number plate. All three of them went to police station to file a complaint. When asked about the plate number each of them remembers different numbers. 1. All three confirmed that first two numbers from the left was 35. 2. All three agrees than 4th number from the left was 7. 3. All three agrees that there was no even number in the number plate. 4. All three agrees that two numbers were same. Which of the following would be most likely the number of the number plate?

1 Answers 5 Views

An Investigator interviewed 100 students to determine the performance of three drinks milk, coffee and tea. The investigator reported that 10 students take all three drinks, 20 students take milk and coffee, 30 students take coffee and tea; 25 students take milk and tea; 12 students take milk only. 5 students take coffee only and 8 student take tea only. Then the number of students who did not take any of the three drinks is λ. The value of \(\frac{\lambda }{4}\) is equal to?

1 Answers 5 Views

Given below are three quantities named A, B and C. Based on the given information, determine the relation among the three quantities. Total number of pupils in three classes of a school is 1288. The ratio of children in three classes X, Y, Z is 39 : 64 : 58. In class X number of boys are 26 less than number of girls. Number of boys in class Y is 67.83% more than the number of boys in class X. And, girls in class Z are 25.36% less than the number of girls in class Y. (In calculating number of boys and girls, the decimal value must be rounded off to nearest whole number). Quantity A: Number of boys in class Z. Quantity B: Number of girls in class X. Quantity C: Number of girls in class Y.?

1 Answers 7 Views

In the following figure, set A represents kind people, set B represents caring people and set C represents innocent people. If whole set B contains 19 people and there are 5 people who are caring and innocent, 6 people who are kind and caring and only 2 people have all the three characteristics. Find the number of people who are caring only. ?

1 Answers 5 Views

In a class of 95 students, all play at least one of the three games — snooker, chess and tennis. 42 students play snooker, 49 play tennis, and 43 play chess. The total number of students who play any and only two games is 29. 5 students play all the three games. The number of students who play only snooker and only chess is equal. 11 students play only snooker and tennis. 6 students play only snooker and chess. How many students play only tennis?

1 Answers 26 Views

এক্সাম দিয়ে মেধা যাচাই করুন

Job Preparation (1125)

Admission (754)

এসএসসি (10)

এইচএসসি (5)