Question

Out of total 150 students, 45 passed in accounts, 30 in economics and 50 in maths, 30 in both accounts and maths, 32 in both maths and economics, 35 in both accounts and economics, 25 students passed in all the three subjects. find the numbers who passed atleast in anyone of the subjects:

(a) 63
(b) 53
(c) 73
(d) None.

Answer 1

To find the number of students who passed at least in any one of the subjects, we need to add up the number of students who passed in each subject individually, subtract the number of students who passed in multiple subjects, and then add back the number of students who passed in all three subjects.

Let's do the calculations:

Number of students who passed in accounts = 45
Number of students who passed in economics = 30
Number of students who passed in maths = 50

Number of students who passed in both accounts and maths = 30
Number of students who passed in both maths and economics = 32
Number of students who passed in both accounts and economics = 35

Number of students who passed in all three subjects = 25

Now, let's calculate the number of students who passed at least in any one of the subjects:

45 (accounts) + 30 (economics) + 50 (maths) - 30 (both accounts and maths) - 32 (both maths and economics) - 35 (both accounts and economics) + 25 (all three subjects)

= 53

So, the correct answer is (b) 53.

Let me know if you have any more questions or need further assistance!