CAT
Exam
Category
80% passed in maths,70% passed in science,65% passed in both?12 students failed in both subjects.how many students passed in both subjects?
Read Solution (Total 3)
-
- % of student passed in at least one subject=(80+75-65)%;
=85%
hence %of student failed in both=(100-85)%
now
15%of X=12 (let X be the total no of student)
X=80;
no of student passed in both subject=65% of 80;
=52
ans: 52 - 10 years agoHelpfull: Yes(1) No(0)
- let total students = x;
passed in maths = 80x/100 = n(m);
passed in science = 70x/100 = n(s);
passed in both = 65x/100 = n(m^s);
Hence, n(m U s) = n(m)+n(s)-n(m^s) = 85x/100;
No. of students failed in both = (x - 85x/100) = 15x/100;
Given, 15x/100 = 12;
So, x = 80;
Thus, no. of students passed in both = 65% of 80 = 52. (Ans) - 10 years agoHelpfull: Yes(1) No(0)
- 60
15%-12
- 10 years agoHelpfull: Yes(0) No(0)
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