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In a coaching centre in Kota, 78 students take at least one of Physics, Chemistry, Biology and Maths. After finding the number marked ?, how many students take exactly three subjects?

Competition practiceVenn Diagrams
  • A13
  • B7
  • C15
  • D6

Step-by-Step Solution

The known regions add up to 72, so ; this region is inside three ellipses. Exactly three . 7 leaves out the ? region, 15 also adds the centre 2 (all four subjects), and 6 is only the missing number.
Answer: A) 13

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