Ranking Calculation: Finding Total Students
To find the total number of students in the class, we need to consider Kabir's position from both the top and the bottom.
Kabir's rank from the top is 27.
Kabir's rank from the bottom is 34.
Total Students Formula
When calculating the total number of people in a sequence (like a class list), using ranks from both ends, we add the two ranks together and then subtract 1. We subtract 1 because the person whose ranks are given (Kabir, in this case) is counted twice – once in the top rank count and once in the bottom rank count.
The formula is:
$ \text{Total Students} = (\text{Rank from Top}) + (\text{Rank from Bottom}) - 1 $
Applying the Formula
Substitute Kabir's ranks into the formula:
$ \text{Total Students} = 27 + 34 - 1 $
First, add the ranks:
$ 27 + 34 = 61 $
Now, subtract 1 to correct for counting Kabir twice:
$ \text{Total Students} = 61 - 1 $
$ \text{Total Students} = 60 $
Therefore, there are 60 students in the class.
Similar Questions
- Mr. Toni ranked 69th from the top and 13th from the bottom in his class. How many students are there in his class?
- Gaurav ranked $29^{\text{th}}$ from the top and $45^{\text{th}}$ from the bottom in his class. How many students are there in his class?
- All 97 students in a class are standing in a row facing north. Hansa is $46^{\text{th}}$ from the right end while Neeti is $35^{\text{th}}$ from the left end. How many people stand between Hansa and Neeti?
- Geeta ranks 8th from the top in the group of 40 students. What will be her rank from the bottom?
- In a list of total teachers of a school, a chemistry teacher is ranked eleventh from the top and thirty-second from the bottom. How many teachers are there in the school?
- All 79 students in a class are standing in a row facing north. Shantanu is 37th from the right end while Vani is 23rd from the left end. How many people stand between Shantanu and Vani?
- In a row of 151 students facing north, Mr. Into is $12^{th}$ from the right end. If Mr. Toni is $16^{th}$ to the left of Mr. Into; what is Mr. Toni's position from the left end of the line?
- Samar ranked 39th from the top and 34th from the bottom in his class. How many students are there in his class?
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- Four friends U, V, W and X work in a garage. W knows more than V. U knows more than W, but less than X. Who is the most knowledgeable person amongst all?
Important Questions from Ordering and Ranking
In a row of people all facing north, Prince is 5th from the right end. Amit is 15th from the right end. Amit is exactly between Prince and Aditya. If Aditya is sixth from the left end of the line, how many people are there in the row?
In a row, Mansi is 29th from the left and 33rd from the right. How many students are there in the row?
A class has a total of 60 students. Student 'B' is at 41st rank in merit order from the bottom. What is the rank of student 'B' from the top?
A medical representative plans to visit each of six hospitals — A, B, C, D, E and F — exactly once during the course of one day. He is setting up his schedule for the day according to the following conditions:
i. He must visit A before B and E.
ii. He must visit B before D.
iii. The third hospital he visits must be C.
Which of the following could be the possible order in which the medical representative visits the six hospitals?Sonam is older than Renu. Komal is younger than Renu. Priya is older than Sonam. Who is the eldest of them?
