Q. 244.5( 20 Votes )

# Out of 100 studen

Given:

Total number of students = 100

Number of students passed in English = 15

Number of students passed in Mathematics = 12

Number of students passed in Science = 8

Number of students passed in English and Mathematics = 6

Number of students passed in Mathematics and Science = 7

Number of students passed in English and Science = 4

Number of students passed in all three = 4

Let U be the total number of students, E, M and S be the number of students passed in English, Mathematics and Science respectively n(M S E) = a = 4

n(M S) = a + d = 7

4 + d = 7

d = 3

n(M E) = a + b = 6

4 + b = 6

b = 2

n(S E) = a + c = 4

4 + c = 4

c = 0

n(M) = e + d + a + b = 12

e + 4 + 3 + 2 = 12

e + 9 = 12

e = 3

n(E) = g + c + a + b = 15

g + 0 + 4 + 2 = 15

g + 6 = 15

g = 9

n(S) = f + c + a + d = 8

f + 0 + 4 + 3 = 8

f + 7 = 8

f = 1

(i) Number of students passed in English and Mathematics but not in Science = b = 2

(ii) Number of students in Mathematics and Science but not in English = d = 3

(iii) Number of students in Mathematics only = e = 3

(iv) Number of students in more than one subject only

= a + b + c + d

= 4 + 3 + 2 + 0

= 9

Rate this question :

How useful is this solution?
We strive to provide quality solutions. Please rate us to serve you better.
Try our Mini CourseMaster Important Topics in 7 DaysLearn from IITians, NITians, Doctors & Academic Experts
Dedicated counsellor for each student
24X7 Doubt Resolution
Daily Report Card
Detailed Performance Evaluation view all courses RELATED QUESTIONS :

Mark the correct RD Sharma - Mathematics

Mark the correct RD Sharma - Mathematics

If A and B are twRD Sharma - Mathematics

If A and B are twRD Sharma - Mathematics

A survey shows thRD Sharma - Mathematics

If A = {x : x <spRS Aggarwal - Mathematics

Mark the correct RD Sharma - Mathematics

In a group of 70 RD Sharma - Mathematics

If P and Q are twRD Sharma - Mathematics