Rank Calculation Explained: John's Bottom Rank
This problem involves finding a student's position in a class when their rank from the top is known, along with the total number of students.
Understanding Ranking Positions
When we talk about ranks, we consider positions from both the top and the bottom of a group. If you know the total number of people and someone's position from one end (either top or bottom), you can easily find their position from the other end.
The Ranking Formula
The relationship between rank from the top, rank from the bottom, and the total number of students can be expressed with a simple formula. Let:
- \(N\) = Total number of students in the class
- \(R_{top}\) = Rank from the top
- \(R_{bottom}\) = Rank from the bottom
The formula is:
\(N = R_{top} + R_{bottom} - 1\)
To find the rank from the bottom (\(R_{bottom}\)), we can rearrange the formula:
\(R_{bottom} = N - R_{top} + 1\)
Applying the Formula to John's Rank
We are given the following information:
- Total number of students, \(N = 40\)
- John's rank from the top, \(R_{top} = 12\)
Now, we substitute these values into the formula to calculate John's rank from the bottom:
\(R_{bottom} = 40 - 12 + 1\)
Step-by-Step Calculation
- Start with the total number of students: \(40\).
- Subtract John's rank from the top: \(40 - 12 = 28\). This tells us there are 28 students ranked below John.
- Add 1 to include John himself in the count from the bottom. So, \(28 + 1 = 29\).
Therefore, John's rank from the bottom is \(29\).
Conclusion
John's rank from the bottom is \(29^{th}\). This means there are 28 students ranked below him in the class of 40 students.
Similar Questions
Horse E was running ahead of horse D in the middle of the race. Horse C was ahead of horse A but behind horse B. Horse A was running ahead of horse E. From this point on, the fourth-placed horse took the lead and won the race. If the positions of the other horses remained the same, which horse was in the middle at the end of the race?
Ina class of 64 students, Komal’s rank is 6 positions lower (i.e. towards bottom) than her friend Shikha, who is at the 59 th position from the end. What is Komal’s rank from the top in the class?
In a shopping mall, five water bottles labelled as A, B, C, D and E were placed in a rack.
The bottle A has less price than the bottle B. The bottle C has less price than the bottle D. The bottle B has less price than the bottle C and bottle A has more price than the bottle E.
If a customer wants to buy a bottle of maximum price, then which bottle he/she has to buy?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 13 th from top and 17th from bottom. How many students have failed?
- D, E, K, W, X, Y and Z scored different marks in an exam. K scored more than only two people. E scored less than only one person. W scored more than D but less than both E and Z. D did not score the lowest marks and Z did not score the highest marks. X scored less than Y. How many people scored more than Y?
Rohan is 13 th from top and Raman is 36 th from bottom in the list of passed students. There are 5 students between Raman and Rohan. 9 students failed. How many minimum students are there?
- Out of 72 students, boys are twice girls. A girl is ranked \(12^{th}\) from top. If 5 boys are ahead of her, how many girls are after her?
- Class has 70 students. Boys = girls. Suman is \(19^{th}\) from top, 10 girls ahead. How many boys are behind her?
In a silk sari showroom there are 10 exclusive and highly expensive saris- 3 of Kalamkari, 3 Ikat, 2 Kanchi and 2 Banaras, are arranged in a shelf from top to bottom as follows;
There is a Banaras sari between a Kalamkari and Kanchi sari,
A Kalamkari sari between a Kanchi and an Banaras sari.
A Ikat sari between a Banaras and a Kanchi sari,
A Kanchi sari between two Ikat saris and
Two Ikat saris between a Kanchi and a Kalamkari sari.
Which type of sari is present in that arrangement in 6th place from top?
Five children sat for an aptitude test.
In the result report, it was noted that child A scored less marks than child B. Child C scored less marks than child D. Child B scored less marks than child C and child A scored more marks than the child E.
Who did score the highest marks?
Important Questions from Ordering and Ranking
Three persons A, Band Care standing in a queue not necessarily in the same order. There are 4 persons between Aand B, and 7 persons between Band C. If there are 11 persons ahead of Cand 13 behind A, what could be the minimum number of persons in the queue?
In a class of 60 students, where the number of girls is twice that of boys, Kamal, a boy, ranked seventeenth from the top. If there are 9 girls ahead of Kamal, the number of boys in rank after him is:
Examine the information given in the following paragraph and answer the items that follow: Guest lectures on five subjects viz., Economics, History, Statistics, English and Mathematics have to be arranged in a week from Monday to Friday. Only one lecture can be arranged on each day. Economics cannot be scheduled on Tuesday. Guest faculty for History is available only on Tuesday. Mathematics lecture has to be scheduled immediately after the day of Economics lecture. English lecture has to be scheduled immediately before the day of Economics lecture. Which lecture is scheduled on Monday?
Examine the information given in the following paragraph and answer the items that follow: Guest lectures on five subjects viz., Economics, History, Statistics, English and Mathematics have to be arranged in a week from Monday to Friday. Only one lecture can be arranged on each day. Economics cannot be scheduled on Tuesday. Guest faculty for History is available only on Tuesday. Mathematics lecture has to be scheduled immediately after the day of Economics lecture. English lecture has to be scheduled immediately before the day of Economics lecture. Which lecture is scheduled between Statistics and English?
Examine the information given in the following paragraph and answer the items that follow: Guest lectures on five subjects viz., Economics, History, Statistics, English and Mathematics have to be arranged in a week from Monday to Friday. Only one lecture can be arranged on each day. Economics cannot be scheduled on Tuesday. Guest faculty for History is available only on Tuesday. Mathematics lecture has to be scheduled immediately after the day of Economics lecture. English lecture has to be scheduled immediately before the day of Economics lecture. Which lecture is the last one in the week?
