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WBCS Main Examination 2023 — Paper VI: Arithmetic and Test of Reasoning · Question 9 of 200

Q9
ReasoningVenn Diagrams & Set Theory
In an examination, 60% of the candidates passed in English, 70% in Maths and 40% in both subjects. How many students failed in both subjects?
  1. a.10%
  2. b.20%
  3. c.30%
  4. d.40%

Answer: (A) 10%

Candidates who passed in at least one subject = 60 + 70 − 40 = 90%. So those who failed in both = 100 − 90 = 10%. 40% and 30% are the shares who failed in English and in Maths taken one at a time, not those who failed in both.

Q8 Whole paperQ10
In an examination, 60% of the candidates passed in English, 70% in … — WBCS Main Examination 2023 Q9 | Prostuti360°