Total Teachers Calculation
To find the total number of teachers, we need to consider the rank of one specific teacher from both the top and the bottom of the list.
Understanding the Ranking
- The chemistry teacher is 11th from the top. This means there are 10 teachers above this teacher.
- The same teacher is 32nd from the bottom. This means there are 31 teachers below this teacher.
Calculating the Total Number
The total number of teachers is the sum of teachers above the specific teacher, the specific teacher themselves, and the teachers below them. Alternatively, we can use a direct formula:
Total Teachers = (Rank from Top) + (Rank from Bottom) - 1
The subtraction of 1 is necessary because the chemistry teacher has been counted in both the rank from the top and the rank from the bottom.
Applying the Formula
Let $R_{top}$ be the rank from the top and $R_{bottom}$ be the rank from the bottom.
- $R_{top} = 11$
- $R_{bottom} = 32$
Total Teachers = $R_{top} + R_{bottom} - 1$
Total Teachers = $11 + 32 - 1$
Total Teachers = $43 - 1$
Total Teachers = 42
Similar Questions
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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?
