In a community of 175 persons, 40 read the Times, 50 read the Samachar and 100 do not read any. How many persons read both the papers?

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B 15
Since 100 do not read any

$n (T \cup S) = 175 - 100 = 75$

By set theory

$n (T \cap S) = n (T) + n (S) - n (T \cup S)$

$= 40 + 50 - 75 = 15$

Suggest Corrections

Similar questions

Q. In a community of

175

persons,

40

read TOI,

50

read the Samachar Patrika and

100

do not read any. How many persons read both the papers.

Q. In a community of

175

persons,

40

read TOI,

50

read the Samachar Patrika and

100

do not read either. How many persons read both the papers?

Q. In a survey of 100 persons, it was found that 28 read magazine A, 30 read ,magazine 142 read magazine C, 8 read magazine A and B, 10 read magazine A and C, 5 read magazine B and C and 3 read all the three magazines. Find how many persons read magazine C only .

Q. The population of town is 10000. Out of these 5400 persons read newspaper A and 4700 read newspaper B. 1500 persons read both the newspapers. Find the number of persons who do not read either of the two papers.

In a survey of 100 persons it was found that 28 read magazine A, 30 read magazine B, 42 read magazine C, 8 read magazines A and B, 10 read magazines A and C, 5 read magazines B and C and 3 read all the three magazines. Find :

(i) How many read none of three magazines ?

(ii) How many read magazine C only ?

Join BYJU'S Learning Program

In a community of 175 persons, 40 read the Times, 50 read the Samachar and 100 do not read any. How many persons read both the papers?

The correct option is B 15Since 100 do not read anyn(T∪S)=175−100=75By set theoryn(T∩S)=n(T)+n(S)−n(T∪S)=40+50−75=15

The correct option is B 15
Since 100 do not read any

$n (T \cup S) = 175 - 100 = 75$

By set theory

$n (T \cap S) = n (T) + n (S) - n (T \cup S)$

$= 40 + 50 - 75 = 15$