Ranking and Ordering Reasoning: Types,Formula and Tricks with Problem (Question) and Solutions

The position of a thing/person etc. in a definite order is called as ‘Rank’.

In this type of test, relative position or rank of some person or object are given and candidates are required to find the rank or position of other person or object.

Type 1. Rank of a person in a queue

Position of person from upward= [Total no. of persons – position of person from down] + 1.
Position of person from downward= [Total no. of persons – position of person from up] + 1.
Position of person from right= [Total no. of persons – position of person from left] + 1.
Position of person from left= [Total no. of persons – position of person from right] + 1.

Ex-49th students of a class Nitin gets 18th position from start. What is the rank of Nitin from end?

(a) 18

(b) 19

(c) 31

(d) 32

Sol. 49 – 18 + 1 = 32

Type 2. Total number of person in a queue

Total no. of persons

= [Position of person from upward/right + Position of person from downward/left] – 1.

Ex-In a row of students. Mohan is the 13th from the left end. Suman is 12th from Right end and 18th from left end. How many students of Mohan’s right?

(a) 30

(b) 15

(c) 16

(d) Can’t be determined

Sol. Total students= 12+18–1=29

So = 29–13=16 students of Mohan’s right side

Ex-Rohan’s ranked seventh from the top and twenty sixth from the bottom in a class. How many students are there in the class?

(a) 31

(b) 32

(c) 32

(d) 34

Sol. 26+7–1=32

Type 3. When two persons change their rank in a queue

If two persons are on a definite position from up and down (or left and right) and they interchange their ranks, then Total no. of persons in order

= [present position of first person + previous position of second person] – 1

Previous position of first person or present position of second person = Difference of two positions of second person + previous position of second person

= Difference of two positions of first person + previous position of second person.

Ex-In a row of girls, Shilpa is eighth from the left and Reena is seventeenth from the right. If they interchange their positions, Shilpa becomes fourteenth from the left. How many girls are there in the row?

  1. 34
  2. 35
  3. 30
  4. 37

Sol. Total no. of girls

= [present position of Shilpa + previous position of Reena] – 1

= (14 + 17) – 1 = 30

Some Examples

Ex-In a row of a students, Mohan is 10th from right. Sohan is 25th from left. When they change their position then Mohan be comes 22 from right. What is the new position of Sohan from left?

(a) 35

(b) 36

(c) 37

(d) 38

Sol. 22–10=12, 25+12=37th

Ex-In a class of 40 students Sachin is 15th from the top Siddharth is 12th from the bottom. How many boys are in between Sachin and Siddharth?

(a) 15

(b) 13

(c) 12

(d) 16

Trick:- Total–P1 Position + P2 Position

P1 Person–1 Sachin

P2 Person–2 Siddharth

40-(15+12)

40–27 = 13

Ex-In a class of 80 students Mayank is 13th from the right and Ritu is 18th from the left how many students in between Mayank and Ritu?

(a) 49

(b) 48

(c) 38

(d) 50

Trick:- Total – (P1+P2)

 80 – (18 +13) = 49

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