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In a class, there are 40 students. Some of them passed the examination and others failed. Raman's rank among the student who have passed is 13th from top and 17th from bottom. How many students have failed? (SSC Steno. 2017)
- a)11
- b)10
- c)9
- d)Cannot be determined
Correct answer is option 'A'. Can you explain this answer?
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Most Upvoted Answer
In a class, there are 40 students. Some of them passed the examination...
Total number of students who have failed
= (40 + 1) – (13 + 17)
⇒ (41 – 30) = 11
= (40 + 1) – (13 + 17)
⇒ (41 – 30) = 11
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Community Answer
In a class, there are 40 students. Some of them passed the examination...
Understanding the Problem
In this class of 40 students, we need to determine how many students failed the examination based on Ramans' ranks among the students who passed.
Ramans' Ranks
- Raman's rank among those who passed is 13th from the top.
- Raman's rank among those who passed is also 17th from the bottom.
Calculating Total Passed Students
To find the total number of students who passed, we can use Raman's ranks:
- The rank from the top tells us that there are 12 students who scored better than Raman.
- The rank from the bottom tells us that there are 16 students who scored lower than him.
So, we can calculate the total students who passed as follows:
Total Passed Students = Students Above Raman + Raman + Students Below Raman
- Total Passed Students = 12 + 1 + 16 = 29
Calculating Students Who Failed
Now, we can determine how many students failed the examination:
Total Students = Passed Students + Failed Students
- Total Students = 40
- Failed Students = Total Students - Passed Students
- Failed Students = 40 - 29 = 11
Conclusion
Thus, the number of students who have failed the examination is 11, which corresponds to option 'A'.
In this class of 40 students, we need to determine how many students failed the examination based on Ramans' ranks among the students who passed.
Ramans' Ranks
- Raman's rank among those who passed is 13th from the top.
- Raman's rank among those who passed is also 17th from the bottom.
Calculating Total Passed Students
To find the total number of students who passed, we can use Raman's ranks:
- The rank from the top tells us that there are 12 students who scored better than Raman.
- The rank from the bottom tells us that there are 16 students who scored lower than him.
So, we can calculate the total students who passed as follows:
Total Passed Students = Students Above Raman + Raman + Students Below Raman
- Total Passed Students = 12 + 1 + 16 = 29
Calculating Students Who Failed
Now, we can determine how many students failed the examination:
Total Students = Passed Students + Failed Students
- Total Students = 40
- Failed Students = Total Students - Passed Students
- Failed Students = 40 - 29 = 11
Conclusion
Thus, the number of students who have failed the examination is 11, which corresponds to option 'A'.
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In a class, there are 40 students. Some of them passed the examination and others failed. Ramans rank among the student who have passed is 13th from top and 17th from bottom. How many students have failed? (SSC Steno. 2017)a)11b)10c)9d)Cannot be determinedCorrect answer is option 'A'. Can you explain this answer?
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