Ranking Problem: Calculating Total Students
This problem involves finding the total number of students in a class using rank information.
Understanding Rank Calculation
When calculating the total number of items (like students in a class) based on ranks from both ends (top and bottom), the individual being ranked is counted twice. Therefore, we need to subtract 1 from the sum of the two ranks.
Applying the Rank Formula
The formula to calculate the total number of students is:
$ \text{Total Students} = (\text{Rank from Top}) + (\text{Rank from Bottom}) - 1 $
Step-by-Step Calculation
- Identify Given Ranks:
- Samar's rank from the top: 39
- Samar's rank from the bottom: 34
- Apply the Formula:
Use the formula derived above: $ \text{Total Students} = 39 + 34 - 1 $ - Calculate the Sum:
$ 39 + 34 = 73 $ - Subtract 1:
$ 73 - 1 = 72 $
Final Answer
There are 72 students in Samar's 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?
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- 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?
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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?
