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?
- a.5000
- b.6000
- c.5050
- 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.