FAILED in paper-I = (100 - 70)% = 30%60% candidates passed in paper-II.Percentage of candidate who failed in paper-II = (100 - 60)% = 40%15% candidates did not passed any paper.So, percentage of candidate who failed only in paper-I = (30 - 15)% = 15%And, percentage of candidate who failed only in paper-II = (40 - 15)% = 25%Therefore, percentage of STUDENTS who passed in both the subjects = [100 - (15 + 15 + 25)]%= [100 - 55]%= 45%Given: 270 candidates passed in both papers.Let the total number of candidates who appeared in the exam be '\(X\)'.Therefore, \(45x/100=270\)⇒ \(x= (270 ×100)/45\)⇒ \(x= 600\)So, 600 candidates appeared in the exam.Hence, ‘600’ is the correct ANSWER.