Attending ranking questions helps in boosting the reasoning ability and also the score in the exam.

**Note:**

- Read the statement carefully and draw the diagram.
- Consider your Left Hand as the Left side and your Right Hand as the Right side.

## Type 1 of Ranking Arrangement

**Case1.**

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

**Example: **In a row of persons, Position of Rahul from the left side of the row is 34^{th} and position of Rahul from the right side is 37^{th}. 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 another side = (Total number of persons- Position of the same person given side)+1

**Example: **In a row of 22 persons, Position of Rahul from the right side of the row is 13^{th}. Find the position of Rahul from the 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 of Ranking Arrangement**

When the positions of two persons are given from both ends and the 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 24^{th} from the left side of the row and Nitesh is 20^{th} 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 36^{th} from the left side of the row and Nitesh is 29^{th} 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 of Ranking Arrangement**

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 the left side of the row is 22^{nd } and position of Nitesh from the right side of the row is 35^{th}. Find the total no. of students in the row?

**Solution: **Cannot be determined

**Type 4 of Ranking Arrangement**

If positions are interchanged.

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

a) The new position of Nitesh from the right side

b) Total number of person

c) Number of person between them

**Sol: ****A)** Rahul Position changes from 12^{th} to 25^{th} from the 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 question, 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 18^{th} 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 of Ranking Arrangement**

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

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

**Sol: **Position of Gaurav from left is 16^{th} and Rahul from left is 10^{th} 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=15^{th }

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

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