One hundred management students who read at least one of the three business magazines are surveyed to study the relationship pattern. It is found that $80$ read Business India, $50$ read Business world, and $30$ read Business Today. Five students read all the magazines. How many read exactly two magazines?

50

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

10

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

95

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

25

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

Open in App

Solution

The correct option is A $50$
From figure,
$100 = 80 + 50 + 30 - (x + 5) - (y + 5) - (z + 5) + 5$

$x + y + z = 80 + 50 + 30 + 5 - 15 - 100$

$x + y + z = 50$

The number of persons who read exactly two magazines $= 50$

Option A is correct

Suggest Corrections

Similar questions

Q. One hundred management students who read at least one of the three business magazines are surveyed to study the readership pattern. It is found that 80 read Business India, 50 read Business world and 30 read Business Today. Five students read all the three magazines. Find how many read exactly two magazines?

Q. One hundred management students who read at least one of the three business magazines are surveyed to study the readership pattern. It is found that 80 read Business India, 50 read Business World and 30 read Business Today. Five students read all the three magazines. A student was selected randomly. Find the probability that he reads exactly two magazines.

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 ?

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. Out of 450 students in a school 193 students read Science Today 200 students read Science Refresher while 80 students read neither How many students read both the magazines?

Join BYJU'S Learning Program

The correct option is A 50From figure,100=80+50+30−(x+5)−(y+5)−(z+5)+5x+y+z=80+50+30+5−15−100x+y+z=50The number of persons who read exactly two magazines =50Option A is correct

The correct option is A $50$
From figure,
$100 = 80 + 50 + 30 - (x + 5) - (y + 5) - (z + 5) + 5$

$x + y + z = 80 + 50 + 30 + 5 - 15 - 100$

$x + y + z = 50$

The number of persons who read exactly two magazines $= 50$

Option A is correct