Important Tip for Order and Ranking: Consider your Left Hand as the Left side and your Right Hand as the Right side. Also, there will be three types of order & ranking questions that you will get in the Reasoning section.
In this topic, the data related to ranks of a person/persons from the left side/right side/top/bottom are given and the total number of persons is asked.
In some questions, the total number of persons is given and the rank of the person from the left side/right side/top/bottom is asked.
So different types of questions can be formed based on the rank/position of the persons in a row. Generally, six types of questions are formed from this topic which are mentioned as follows -
- Total number of persons based on the given data
- The rank of a person from the left or right side
- Number of persons in between two persons
- Minimum/Maximum number of persons in a row.
- Several persons on either side of a particular person.
- The rank of a person after interchanging the position
- Ascending/Descending Order of persons according to their categories (age, height, ranking, marks, etc)
Concepts of Order and Ranking Topic
Short methods are the only way to pass the reasoning section of these competitive tests because time is a crucial aspect of success. Candidates can review the concepts, techniques, and recommendations for order and ranking questions here.
It is always a situation of CND (can not determine) or the data is insufficient if the total number of people is to be estimated and the positions of distinct people from any side are given.
When two people are positioned in a row, their positions are switched after switching, and the first person's position is then given from the same side as before switching.
It is always a situation of having given positions of people from either side overlap each other in problems where the goal is to discover the smallest number of people in a row.
The difference between a person's position from the same side before and after shifting places is described as follows: 1.
Now let's understand important concepts & formulae of the topic one by one -
To find the total number of persons, when ranks of one person are given from both sides of the row.
- Total number of persons = R1 + R2 – 1
R1 and R2 are ranks of a person (common person) from both (left and right) sides.
Example: In a row of persons, the Position of Ajay is 30th from the left side of the row, and the position from the right side of the row is 34th. Find the total number of persons in the row.
Solution: Total no. of person= (Position of Ajay from left + Position of Ajay from right) – 1
Total no. of person = (30 + 34)-1= 64-1 = 63
To find the position of a person from the opposite side, when rank from one side and total no. of persons are given.
Position of a person from opposite side = (Total no. of persons – Position of the same person from the given side) +1
Example: In a row of 42 persons, the Position of Ramesh from the right side of the row is 22nd. What is the position of Ramesh from the left side of the row?
Solution: Position of Ramesh from left=(Total number of persons- Position of Ramesh from the right side) +1 = (42-22) + 1 = 21
Solution: No. of Persons between Riya and Raman = 62 - (24+20)= 62-44 = 18
Example: In a row of 62 persons. Riya is 36th on the left side of the row and Raman is 29th on the right side of the row. Find out the number of persons sitting between them.
Solution: No. of Persons between Riya and Raman =(36+29)-62-2= 65-62-2 = 1
To find the number of persons after or before a person whose rank is given -
Number of persons after or before the given person in a row = Total no. of persons – Position of the same person from another side
Example: In a row of 20 persons, the position of Ritu from the left side of the row is 6th. Find the no. of persons after Ritu in the row.
Solution: Number of persons after Ritu = Total no. of persons – Position of A from left
⇒ No. of persons after A in the row = 20 – 6 = 14
When in a row, the positions of two persons are given and their positions are interchanged after interchanging the position of the 1st person is given from the same side as before interchanging.
New Position of the 2nd person from the same side as before interchanging = Position of 2nd person from the same side before interchanging + (Position of the 1st person after interchanging – position of the 1st person before interchanging from the same side
Total Number of persons = Sum of the positions of a person (same person) from both sides - 1
Number of persons between two persons = Difference in the positions of a person(same person) whose position from the same side before and after interchanging is given - 1
Total no of girls in a row = Left End + Right End - 1
= 18 + 23 – 1 = 40
Kanika’s position from right end = Total girls – Left end + 1
= 40 – 15 + 1 = 26
Example 2: Rahul and Nitesh are standing in a row of persons. Rahul is 12th from the 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 the right side
b) Total number of persons
c) Number of persons between them
Solution: A) Rahul's Position changes from 12th to 25th from the left end. So there is an increase of 13 ranks. Since Rahul and Nitesh both interchanged their positions so there must be some increase in ranks. So new position of Nitesh from right side= 18 +13= 31
B) In this question, Rahul's position changes from 12 to 25 from the 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 to his right. Add all these left and right= 24+17+1(Rahul’s own)=42 total persons
C) Number 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
If the total no. of persons is asked and the positions of two different persons from different sides 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, the Position of Raman from the left side of the row is 22nd, and the position of Ramesh from the right side of the row is 35th. Find the total no. of students in the row.
Solution: Cannot be determined
If the positions of two different persons are given from opposite sides of the row and a third person is sitting exactly in the middle of the two. If the total number of persons is to be calculated, then there are two conditions -
- When the position of the third person is given from either side of the row.
- When the position of the third person is given concerning either of the two persons between whom he/she is sitting.
Example: In a row of persons, the position of Riya from the left side of the row is 10th, and the position of Ranjan from the right side of the row is 9th. If Mahesh is sitting just in the middle of Riya and Ranjan and the position of Mahesh from the left of the row is 16th. Find the total number of persons in the row.
Sol: The position of Mahesh from the left is 16th and Riya from the left is 10th so there are (16-10-1=5) persons sitting between Riya and Ranjan. As Mahesh is sitting exactly middle between them so 5 persons sitting between Mahesh and Ranjan.
Position of Mahesh from right= Position of Ranjan 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
Check here: Reasoning Tricks & Notes for Bank Exams
Latest Pattern Questions
1. In a class of 90, where girls are twice that of boys, Shushant ranked fourteenth from the top, if there are 10 girls ahead of Shushant, how many boys are after him in rank?
Girls = 2 Boys
Girls + Boys = 90
2 Boys + Boys = 90
3 Boys = 90 Boys = 30 and Girls = 60
Sushant - 14th From the top
There are 13 students ahead of him of which 10 are girls so no. of boys ahead of Shushant = is 13 – 10 = 3
No of the boys rank after him = 30 – 3 – 1(Shushant Himself)
= 30 – 4 = 26
2. Fifteen girls are standing in a straight line facing North. Sudha is standing eleventh from the right end. Radha is standing ninth from the left end. Meena is standing exactly between Sudha and Radha. How many girls are standing on the right of Meena?
Solution: Sudha is standing eleventh from the right end
Radha is standing ninth from the left end
Meena is standing exactly between Sudha and Radha.
Hence there are 8 girls on the right of Meena.
3. If Usha is taller than Nisha; Nisha is taller than Asha; Alka is taller than Usha. Harsha is shorter than Asha; then who among them is the tallest?
Usha > Nisha
Nisha > Asha
Alka > Usha
Asha > Harsha
=> Alka > Usha > Nisha > Asha > Harsha
So, Alka is the tallest amongst them.
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