Rajesh ranked 17th from the top and 44th from the bottom in his class. How many students are there in his class?
60
This question asks us to find the total number of students in Rajesh's class based on his position from both the top and the bottom.
Understanding Rajesh's Rank
We are given the following information:
- Rajesh's rank from the top of the class is 17th.
- Rajesh's rank from the bottom of the class is 44th.
This means there are 16 students ahead of Rajesh (from the top) and 43 students behind Rajesh (from the bottom).
Calculating Total Class Strength
To find the total number of students in the class, we need to consider Rajesh himself, the students ranked above him, and the students ranked below him.
A simple formula can be used to calculate the total number of students when the rank from the top and the rank from the bottom are known:
Total Students = (Rank from Top) + (Rank from Bottom) - 1
The '-1' is subtracted because Rajesh is counted in both the rank from the top and the rank from the bottom. Including him twice would give an incorrect total.
Applying the Formula
Let's plug in the values:
Total Students = 17 + 44 - 1
First, add the ranks:
17 + 44 = 61
Now, subtract 1:
61 - 1 = 60
So, there are 60 students in Rajesh's class.
Final Answer Verification
If there are 60 students in total:
- Students above Rajesh = Total Students - Rajesh's bottom rank = 60 - 44 = 16. His rank from the top is 16 + 1 = 17th. This matches the given information.
- Students below Rajesh = Total Students - Rajesh's top rank = 60 - 17 = 43. His rank from the bottom is 43 + 1 = 44th. This also matches the given information.
Therefore, the total number of students in the class is 60.
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?
