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WBCS Main Examination 2023 — Paper VI: Arithmetic and Test of Reasoning · Question 174 of 200

Q174
ReasoningVenn Diagrams & Set Theory
In an examination 58% of the candidates passed in English and 68% passed in Mathematics but 17% failed both in Math and English. If 2150 candidates passed in both the subjects then how many candidates appeared in the examination?
  1. a.5000
  2. b.6000
  3. c.5050
  4. d.None of the above

Answer: (A) 5000

83% passed in at least one subject, so those who passed both = 58 + 68 − 83 = 43%. If 43% is 2150 candidates, the total is 2150 ÷ 0·43 = 5000. 6000 would make 43% equal 2580.

In an examination 58% of the candidates passed in English and 68% p… — WBCS Main Examination 2023 Q174 | Prostuti360°