13. In a class, each student likes least one of the five subjects name. ly Physics, Chemistry, Maths, English and Biotechnology. 80% of the stu- dents like Physics, 70% of the students like Chemistry, 90% of the students like Maths, 80% of the students like English and 90% like Biotechnology. What …

Question

13. In a class, each student likes least one of the five subjects name. ly Physics, Chemistry, Maths, English and Biotechnology. 80% of the stu- dents like Physics, 70% of the students like Chemistry, 90% of the students like Maths, 80% of the students like English and 90% like Biotechnology. What is the maximum percentage of the students who like exactly 4 of the 5 subjects? (A) 90% at

(B) 70%

(C) 62%

(D) 50%

Kunal Jain · Answer

a+b+c+d+e=100
a+2b+3c+4d+5e=410
Solving , b+2c+3d+4e=310.

If we let d=100, Eqn 3 becomes only 300

So got to push a few students from d to E

3d+4e=310
d+e=100

Thus e=10, d=90

Thus, ans=90%

Join CAT 2026 course by 5-Time CAT 100%iler

Download resources