Bissoy.com
Doctors Medicines MCQs Q&A

In a survey of 60 people, it was found that 25 read Newsweek magazine, 26 read Time, 26 read Fortune, 9 read both Newsweek and Fortune, 11 read both Newsweek and Time, 8 read both Time and Fortune and 3 read all magazines. Then number of people who read only Newsweek, Time and Fortune are respectively.

In a survey of 60 people, it was found that 25 read Newsweek magazine, 26 read Time, 26 read Fortune, 9 read both Newsweek and Fortune, 11 read both Newsweek and Time, 8 read both Time and Fortune and 3 read all magazines. Then number of people who read only Newsweek, Time and Fortune are respectively. Correct Answer 8, 10 and 12

 Given:

Total number of people = 60

Readers of Newsweek magazine (a) = 25

Readers of Time (b) = 26

Readers of Fortune (c) = 26

Readers of only Newsweek and Fortune (d) = 9

Readers of only Newsweek and Time (e) = 11

Readers of only Time and Fortune (f) = 8

Readers of all magazines (g) = 3

Concept Used:

 

[ alt="F1 Abhishek.P 11-12-20 Savita D1 " src="//storage.googleapis.com/tb-img/production/20/12/F1_Abhishek.P_11-12-20_Savita_D1_.png" style="width: 363px; height: 247px;">

Calculations:

From the Venn diagram,

Number of people who read Newsweek only = a – e – (d – g)

⇒ Number of people who read Newsweek only = 25 – 11 – (9 – 3)

⇒ Number of people who read Newsweek only = 8 ----(1)

Similarly,

Number of people who read Time only = b –f – (e – g)

⇒ Number of people who read Time only = 26 – 8 – (11 – 3)

⇒ Number of people who read Time only = 10 ----(2)

Number of people who read Fortune only = c – d – (f – g)

⇒ Number of people who read Fortune only = 26 – 9 – (8 – 3)

⇒ Number of people who read Fortune only = 12 ----(3)

From (1), (2) and (3),

Number of people who read only Newsweek, Time and Fortune respectively = 8, 10, 12

∴ The number of people who read only Newsweek, Time and Fortune is 8, 10, 12 respectively.

 

Related Questions

The number of persons who read magazine X only is thrice the number of persons who read magazine Y. The number of persons who read magazine Y only is thrice the number of persons who read magazine X. Then, which of the following conclusions can be drawn? i. The number of persons who read both the magazines is twice the number of persons who read only magazine X. ii. The total number of persons who read either one magazine or both the magazines is twice the number of persons who read both the magazines. Select the correct answer using the code given below:
In a town, 45% population read magazine A, 55% read magazine B, 40% read magazine C, 30% read magazines A and B, 15% read magazines B and C, 25% read magazines A and C; and 10% read all the three magazines. What percentage do not read any magazine?
Focusing on plastic pollution, the June issue of the National Geographic magazine created quite a buzz on social media, contrary to expectations after the cover featured a plastic bag submerged in an ocean with a ’Planet or Plastic?’ text on it. Ironically, the magazine itself was wrapped in a double layer of plastic. Which of the following options can be the reason for the magazine to go viral on the internet as inferred from the statements? I. It highlighted the amount of single-use plastic that enters in the world’s oceans which is a major environmental concern these days. II. National Geographic kicked off its ‘Planet or Plastic’ campaign, the magazine’s multiyear effort to raise awareness about the global plastic trash crisis through the cover. III. The magazine about ocean plastic pollution came wrapped in a plastic bag inside another plastic bag. IV. Because they realized the major flaw and announced that the magazine will no longer be shipped to readers in a plastic bag but will be sent out in a paper envelope instead.
In each questions given belowthree statements are followed by twoconclusions numbered I and II. You have totake the three given statements to be true
even if they seem to be at variance with thecommonly known facts. Read the conclusionsand decide which conclusion logically followsfrom the three given statement disregardingcommonly known facts. Give answer Statements:
Some books are papers.
No paper is magazine.
All magazines are pens.
Conclusions:
I. Some books are not magazines.
II. Some books are magazines.
Read the given statements and conclusions carefully, Assuming that the information given in the statements is true, even if it appears to be at variance with commonly known facts, decide which of the given conclusions logically follow from the statements. Statements: 1. All books are magazines 2. Some books are novels. Conclusions: I. Some magazines are books II. No magazine is a book III. No novel is a magazine IV. Some novels are books.
A magazine publisher publishes a monthly magazine of 84 pages. One I found that in a magazine 4 pages was missing. One out of them was page number 29 it is known that the page number of the last page of the magazine is 84, (including the cover pages). The numbers printed on the missing pages were :
Three statements are given, followed by three conclusions numbered I, II and III. Assuming the statements to be true, even if they seem to be at variance with commonly known facts, decide which of the conclusions logically follow(s) from the statements. Statements: All covers are red. All red are magazines. Some magazines are books. Conclusions: I. Some books are red. II. Some magazines are covers. III. No cover is book.
In the question two statements are given, followed by two conclusions, I and II. You have to consider the statements to be true even if it seems to be at variance from commonly known facts. You have to decide which of the given conclusions, if any, follows from the given statements. Statement I: Some papers are tabloids Statement II: No magazines are papers Conclusion I: No tabloids are magazines Conclusion II: All magazines are tabloids
A cinema house has 600 people. \(26\frac{2}{3}{\rm{\% }}\) People buy premium tickets and \(33\frac{1}{3}{\rm{\% }}\) People buy gold tickets and 40% of people buy platinum tickets. Only 5% of people buy both platinum and gold tickets and 10% of people buy both premium and platinum tickets and \(6\frac{2}{3}{\rm{\% }}\) of people buy both premium and gold tickets and 30 people buy all three types of tickets. Find the number of people who buy only one type of ticket.
In each of the following questionsthree statements are given and thesestatements are followed by two conclusionsnumbered (1) and (2). You have to take thegiven three statements to be true even if theyseem to be at variance from commonly knownfacts. Read the conclusions and then decidewhich of the given conclusions logicallyfollows from the two given statements,disregarding commonly known facts.
Statements: All books are novels.
No novel is a magazine.
All magazines are newspaper.
Conclusions: I.No book is a magazine.
II. Some newspaper are novels.