Understanding Rank Positions
The question provides Piyush's position in his class from both the top and the bottom.
- Piyush's rank from the top is 35th. This means there are 34 students ahead of him and Piyush himself.
- Piyush's rank from the bottom is 18th. This means there are 17 students behind him and Piyush himself.
Calculating Total Students
To find the total number of students in the class, we can use Piyush's ranks. A common way to solve this is:
Total Students = (Rank from Top) + (Rank from Bottom) - 1
We subtract 1 because Piyush is counted in both his top rank and his bottom rank. Including him twice would give an incorrect total.
Let's apply the formula:
Calculation:
Rank from Top = 35
Rank from Bottom = 18
Total Students = 35 + 18 - 1
Total Students = 53 - 1
Total Students = 52
Alternatively, we can think of it as:
- Students above Piyush: 35 - 1 = 34
- Students below Piyush: 18 - 1 = 17
- Piyush himself: 1
- Total Students = Students above + Piyush + Students below = 34 + 1 + 17 = 52
Both methods confirm that there are 52 students in the class.
Important Questions from Ordering and Ranking
- Ariel ranked \(6^{th}\) from the top and \(18^{th}\) from the bottom in her class. How many students are there in the class?
- Each of the digits in the number 8731245 is arranged in ascending order from left to right. The position(s) of how many digits will remain unchanged as compared to that in the original number?
- Varun ranked 34th from the top and 11th from the bottom in his class. How many students are there in his class?
- Each of the digits in the number 81674293 is arranged in ascending order from left to right. Which of the following digits will be fourth from the left?
- Mr. Into ranked 96th from the top and 31st from the bottom in his class. How many students are there in his class?
