Written Examination for the post of Bank Officer 70% of the candidates who passed the exam were proficient in the exam. And 65% passed in the interview. If 27% both If failed and total passed candidates are 248 then Know the number of candidates passed in the written examination do it?
Answers
Answer:
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Step-by-step explanation:
Let the number of students successful in the written exam be ‘a’.
Given, 70% of the successful students, qualified in the efficiency test and 65% in the interview.
Number of students who cleared the efficiency test = 70% of a = 0.7a
Number of students who cleared the interview = 65% of a = 0.65a
Also, 27% were unsuccessful in both the exam and 248 were successful in both the exams
Number of students unsuccessful in both = 27% of a = 0.27a
Number of students successful in either one of the exams = a – 0.27a = 0.73a
⇒ Number of students qualified in efficiency test + Number of students passed in interview – Number of students successful in both = 0.73a
⇒ Number of students successful in both = 0.7a + 0.65a – 0.73a = 0.62a
Given, 248 were successful in both the exams
⇒ 0.62a = 248
⇒ a = 400