In a survey conducted at a university, it was found that 55% of the students like Mathematics, 45% like Physics, and 30% like both Mathematics and Physics. Among the remaining students, 25% prefer Computer Science, while the rest have no preference. If the total number of students surveyed is 800, how many students had no preference for any of the three subjects?
Show answer & explanation
Correct answer: D
Explanation
Given:
Total students = 800
Math = 55%
Physics = 45%
Both = 30%
At least one subject = Math + Physics − Both
Like at least one subject = 55 + 45 − 30 = 70%
70% of students like either Math or Physics
Number of students = 70% × 800 = 560
Remaining students = 800 − 560 = 240
25% like Computer Science
= 25% × 240 = 60
Those who don't like any subject = 240 − 60 = 180