# In town of 500 people, 285 read Hindu and 212 read Indian express and 127read Times of India 20 read hindu and times of India and 29 read hindu and Indian express and 35 read times of India and Indian express. 50 read no news paper. Then how many read only one paper? can any one of u explain the answer?

• Nov 26th, 2006

i think 526 not sure..

• Dec 2nd, 2006

406 is the answer.draw the venn diagram and subtract all the the intersections from individuals u get 456.Now sub 456-50=406 as 50 mem dont read any of the paper.

#### varun

• Dec 19th, 2006

The values are not right. The formula is

n(A U B U C) = n(A) + n(B) + n(C) - n(A n B) - n (A n C) - n(B n C) + n (A n B n C).

When we substitute the values in this, we get

450 = 285 + 212 + 127 - 20 - 29 - 35 + x

450 = 540 + x

which is impossible.......please check back with the values.

#### chandansinha Profile Answers by chandansinha

• Jan 30th, 2007

Hello Everybody,HIndu = 285TOI = 127IE = 212now H nd TOI both is = 20(Draw a Venn Diagram nd check all) . TOI nd IE both is = 35H nd IE both is = 29now suppose H , TOI nd IE all is = x ;so,only Hindu is = 285-20-29-x = 236-x ;only TOI is = 127-20-35-x = 72-x ;only IE is = 212-35-29-x = 148-x ;now, 236-x + 72-x + 148-x + 20 + 29 + 35 + x + 50 = 500 590 -2x = 500 so, x = 45this is the value who read all the 3 dailies.so,result is = 236-45 + 72-45 + 148-45 = 191 + 27 + 103 = 321.this is the final result...you all plz check it...this answer is based on Venn Diagram.Thanks nd all the bestChandan Sinha

#### m.saravanan

• May 23rd, 2007

Ans : 366

and in 500 peoples, 50 persons didnt read any news papers
so just deduct from 500 (hence 450 peoples only read news papers in that town)

finally deduct the no. of persons read two papers from 450 is the answer(i.e., 366)

#### vigneshkumar1988 Profile Answers by vigneshkumar1988 Questions by vigneshkumar1988

• Feb 18th, 2008

ans is 366 since there are 500 people in which do like this

add all those who study both news paper 20+29+35=84
then 50 people dont read newspaper so 84+50=134
now,
500-134=366

#### wanderer11 Profile Answers by wanderer11

• Aug 7th, 2008

@saravanan

20+29+35 is the number of people who read two papers or the number of people who read atleast two papers?

#### nandhakumar1 Profile Answers by nandhakumar1 Questions by nandhakumar1

• Nov 25th, 2009

Here they did not mentioned like the people reads only 2, the people who read 3 also belonging to the category of reading 2 papers, so we don't want to assume x because it is already included in the category of reading two papers. So as per my view the solution is derived here
IE=212-(29+35)=158
TOI=125-(20+35)=70
236+158+70-50= 404

#### saran

• Apr 4th, 2014

45

#### narasimha REDDY

• May 19th, 2015

45

#### anu

• Sep 5th, 2015

#### sakth ivel

• Sep 14th, 2015

45

#### Debangshu

• Sep 4th, 2016

A & B means n(AUB).. But you are taking n(AnB).. so negative is comming...

• Nov 6th, 2019

Question formation is wrong the should have said only hindu and indian express is 29 if such type of question is asked then only 45 is right for all three papers