Bissoy.com
Doctors Medicines MCQs Q&A

Find the number of students who took an exam if the ratio of those who passed to those who failed in the exam was 10 ∶ 3. If 40 more students had taken the exam and 10 less had failed, then the ratio of those who passed to those who failed in the exam would have been 5 ∶ 1.

Find the number of students who took an exam if the ratio of those who passed to those who failed in the exam was 10 ∶ 3. If 40 more students had taken the exam and 10 less had failed, then the ratio of those who passed to those who failed in the exam would have been 5 ∶ 1. Correct Answer 260

Given:

Passed : Failed = 10 : 3

40 more student appear in the exam and 10 less had failed

The new ratio of passed to failed = 5 : 1

Calculation:

Let the number of students originally had passed and failed be 10x and 3x respectively

If 40 more students wrote the exam and 10 less failed, 50 more have passed

Ratio of number of students passed to failed in this case = (10x + 50) / (3x – 10)

⇒ 5/1 = (10x + 50) / (3x – 10)

⇒ 15x – 50 = 10x + 50

⇒ 5x = 100

⇒ x = 20

Number of students who originally wrote the exam

= 10x + 3x = 13x

⇒ 13 × 20 = 260

∴ 260 students appeared in the examination.

Related Questions

Find the number of students who took an exam if the ratio of those who passed to those who failed in the exam was 10 : 3. If 40 more students had taken the exam and 10 less had failed, then the ratio of those who passed to those who failed in the exam would have been 5 : 1.
In an examination, the number of students who passed and the number of students who failed were in the ratio 25 ∶ 4. If one more student had appeared and passed and the number of failed students was 3 less than earlier, the ratio of passed students to failed students would have become 22 ∶ 3. What is the difference between the number of students who, initially, passed the examination and the number of students who failed the examination?
Amar, Tanmay, Viraj, Rajeev and Samuel not in the same order have their exams scheduled in different languages such as English, Punjabi, Hindi, Marathi and French though not in the same order. The exam of Samuel is scheduled after the exam of Tanmay. Rajeev does not appear the exam in French. Viraj either appears the exam in English or Hindi. The exam in French is immediately preceded by the exam in Hindi. The very last exam is of Viraj. At the most two exams are scheduled between the exam of Viraj and the Punjabi exam. The opening exam is in Marathi. Amar appears the exam in Hindi. Samuel does not appear for Punjabi exam. Rajeev’s exam was not the first. Which exam is immediately preceding and succeeding the exam in Hindi?
In a mid-term exam of class 11, 42% students failed in Mathematics, 54% students failed in Physics and 48% students failed in Chemistry. Only 10% students failed in all the three subjects. 20% students failed in both Physics and Chemistry, 15% students failed in both Chemistry and Mathematics, and 18% students failed in both Physics and Mathematics. What is the percentage of those students who failed in two subjects only?
In a competitive exam, the number of passed students was four times the number of failed students. If there had been 35 fewer appeared students and 9 more had failed, the ratio of passed and failed students would have been 2 : 1, then the total number of students appered for the exam ?
In an examination, 41% of students failed in Economics, 35% of students failed in Geography and 39% of students failed in History, 5% of students failed in all the three subjects, 14% of students failed in Economics and Geography, 21% of students failed in Geography and History and 18% of students failed in History and Economics. Find the percentage of students who failed in only Economics.
In a class of 100 students, every student has passed in one or more of the three subjects, i.e History, Economics and English. Among all the student, 24 students have passed in English only, 14 students have passed in History only 11 students have passed in both English and Economics only, and 12 students have passed in both English and History only. A total of 50 students have passed in History. If only 5 students have passed in all three subjects, then how many students have passed in Economies only?
200 students appeared in a specific examination. There were 80 students who failed in Mathematics. 160 students passed in Physics. 30 students failed in Chemistry. 30 students failed in Mathematics and Physics. 15 students failed in Mathematics and Chemistry. 10 students failed in Physics and Chemistry. 100 students passed in all three subjects. How many students failed in only one subject?
In a survey of 25 students, it was found that 15 had taken Mathematics, 12 had taken Physics and 11 had taken Chemistry, 5 had taken Mathematics and Chemistry, 9 had taken Mathematics and Physics, 4 had taken Physics and Chemistry and 3 had taken all the three subjects. Find the number of students who had taken both Physics and Chemistry but not Mathematics.
In an examination, the number of those who passed was 5 times the number of those who failed. If there had been 75 less passed candidates and 30 more had failed, the ratio of passed to failed candidates would have been 1 : 2, then find the total number of candidates initially?