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SSC CHSL 2025 · PYQ · Set Theory / Venn Diagram · medium

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?

  1. A.180✓ Correct
  2. B.220
  3. C.160
  4. D.200

Explanation

Students liking Math or Physics = 55+45−30 = 70%. Remaining = 30% of 800 = 240. Of these, 25% prefer CS = 60. No preference = 240 − 60 = 180.
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