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Ranking Arrangement is an important topic from the point of view of SSC. We are providing some notes on Ranking. It will help you to understand the topic.

Generally in Ranking Arrangement questions, position/rank of a person from left-right/top-bottom is given and and total number of persons is asked. There are several types of Ranking Arrangement and we are providing the methods to crack them.

Note:
  1. Read the statement carefully and draw the diagram.
  2. Consider your Left Hand as Left side and your Right Hand as Right side.

Type 1
Case 1.

Total number of persons = (Sum of the number of same person from both sides) – 1

Example: 
In a row of persons, Position of Rahul from left side of the row is 34th and position of Rahul from right side is 37th. Find the total number of persons in the row ?

Sol: Total no. of person= (Position of Rahul from left + Position of Rahul from right) – 1 =(34 + 37)-1= 71-1=70

Case 2.

Position of a person from other side= (Total number of persons- Position of the same person given side)+1

Example: 
In a row of 22 persons, Position of Rahul from right side of the row is 13th. Find the position of Rahul from left side of the row?

Sol: Position of Rahul from left=(Total number of persons- Position of Rahul from right side) +1 =(22-13)+1= 9+1= 10

Type 2

When the positions of two persons are given from both ends and total number of persons are also given and we have to find the number of persons between them-

There are two cases:-

Case 1: 
When there is no overlapping and we have to find the number of persons between them.
of Persons between two different persons = Total no. of Persons – (Sum of positions of two different persons from both sides)

Example: 
In a row of 62 persons. Rahul is 24th from left side of the row and Nitesh is 20th form the right side of the row. Find out the number of persons sitting between them?

Sol: No. of Persons between Rahul and Nitesh= 62-(24+20)=62-44=18

Case 2: 
When there is overlapping and we have to find the number of persons between them. 
of Persons between two different persons = (Sum of positions of two different persons from both sides) -Total no. of Persons –2

Example: 
In a row of 62 persons. Rahul is 36th from left side of the row and Nitesh is 29th form the right side of the row. Find out the number of persons sitting between them?

Sol: No. of Persons between Rahul and Nitesh=(36+29)-62-2=65-62-2=1

Type 3

If total no. of Persons is to be asked and positions of different persons from any side are given then it is always a case of ‘cannot be determined’. Because we do not know if there will be overlapping or not.

Example:
In a row Position of Rahul from left side of the row is 22nd and position of Nitesh from right side of the row is 35th. Find the total no. of students in the row?

Solution: Cannot be determined


Type 4

If positions are interchanged .

Example:
Rahul and Nitesh are standing in a row of persons. Rahul is 12thfrom left side and Nitesh is 18th from the right side of the row. If they interchanged their positions Rahul becomes 25th from left. Find these-

  • a) New position of Nitesh from right side
  • b) Total number of person
  • c) Number of person between them

Sol: 
A) Rahul Position changes from 12th to 25th from left end. So there is an increase of 13 ranks. Since Rahul and Nitesh both are interchanged their positions so there must be same increase in ranks. So new position of Nitesh from right side= 18 +13= 31

B) In this questions Rahul position changes from 12 to 25 from left. That means 24 persons are standing from his left side. Now Rahul is at Nitesh’s position which is 18th from the right side. That means 17 persons are standing from his right. Add all these left and right= 24+17+1(Rahul’s own)=42 total persons

C) of persons between Rahul & Nitesh = (Position of rahul from left after interchanging– Position of Rahul from left before interchanging) – 1 ⇒ No. of persons between Rahul & Nitesh = (25 – 12) – 1 = 13 – 1 = 12

Type 5

If positions of two persons are given and third person are sitting exactly between them.

Example:
In a row of persons, position of Rahul from left side of the row is 10th and position of Nitesh from right side of the row is 9th. If Gaurav is sitting just in middle of Rahul and Nitesh and position of Gaurav from left of the row is 16th. Find the total number of persons in the row?

Sol:
Position of Gaurav from left is 16th and Rahul from left is 10th so there are (16-10-1=5) persons are sitting between Rahul and Nitesh . As Gaurav is sitting exactly middle between them so 5 persons sitting between Gaurav and Nitesh. Position of Gaurav from right= Position of Nitesh from right 9 + 5 +1= 9+6=15th 

Total number of persons= Sum of Gaurav’s positions from both sides -1 =(16+15)-1=31-1=30

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