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Ranking and Position - Introduction and Examples (with Solutions), Logical Reasoning | Reasoning Aptitude for Competitive Examinations - Bank Exams PDF Download

Ranking and Position

Ordering and Ranking Arrangement is an important topic from the point of view of SBI PO, SBI Clerk, IBPS PO, IBPS Clerk, SSC, CAT and many other competitive exams. There are usually 3-5 questions in any exam from this topic. By following some simple shortcut tricks, you can easily crack the questions in a matter of seconds. This can be helpful in boosting your reasoning ability and, more importantly, your marks in the exam. Time is an important factor in qualifying through these competitive exams, and short tricks are the only way to go about getting through the Reasoning section with ease.

In ordering and ranking arrangement questions, position/rank of a person from left-right/top-bottom of a row/class is to be determined or rank/position is given & total no. of persons is to be calculated. You may also be asked to determine, using data given, which floor which person lives on.

Note:

1) Read the statement line by line and apply the cases as explained below.

2) Position can be from either sides of row and rank is always from top or bottom of the row

Here, different types of ordering & ranking arrangement questions are explained below with the help of different examples. By grasping each type, you can have a complete command over this topic and ensure 3-5 marks in your kitty.


Type 1

1) Total number of persons = {(sum of positions of same person from both sides i.e. left and right side) – 1}

OR

2) Position of a person from opposite side = {(Total no. of persons – Position of same person from given side) +1}

 E.g.1) In a row of persons, position of A from left side of the row is 27th and position of A from right side of the row is 34th. Find total no. of persons in the row?

Solution:

Total no. of students = (Position of A from left + Position of A from right) -1

⇒Total no. of students = (27 + 34) – 1 = 61 – 1 = 60


 E.g. 2) In a row of 16 persons, position of A from left side of the row is 12th. Find the position of A from right side of the row?

Solution:

Position of A from right side = {(Total no. of persons – Position of A from left side) + 1}

⇒Position of A from right side = (16 – 12) + 1 = 4 + 1 = 5th

 

Type 2

1) Total no. of persons = No. of persons after or before the given person in a row + Position of same person from the other side

OR

2) No. of persons after or before the given person in a row = Total no. of persons – Position of same person from other side


E.g.1) In a row of persons, position of A from left side of the row is 27th and there are 5 persons after A in the row. Find total no. of persons in the row?

Solution:

No. of persons in the row = Position of A from left + No. of persons after A

⇒ Total no. of persons = 27 + 5 = 32


E.g.2) In a row of 18 persons, position of A from left side of the row is 6th. Find the no. of persons after A in the row?

Solution:

No. of persons after A = Total no. of persons – Position of A from left

⇒ No. of persons after A in the row = 18 – 6 = 12

 

 Type 3

When the positions of two persons are given from opposite ends and we know the total number of persons, then two cases arise when trying to determine the number of persons between these two persons –

  1. When there is no overlapping: i.e. the sum of positions of the two persons from opposite ends < total number of persons
  2. When there is overlapping: i.e. the sum of positions of the two persons from opposite ends > total number of persons

Case i)
No. of students between two different persons = Total no. of students – (Sum of positions of two different persons from opposite sides)


E.g.1)  In a row of 54 persons, A is 15th from the left side of the row and B is 20th from the right side of the row. Find the no. of persons sitting between A and B?

Solution: Here Sum of positions of A & B from opposite ends = 15 + 20 = 35 < Total no. of persons

∴ No. of persons between A & B = Total no. of students – (Position of A from left + Position of B from right)

⇒ No. of persons between A & B = 54 – (15+20) = 54 – 35 = 19

Case ii)

No. of students between two different persons = (Sum of positions of two different persons from opposite sides) – Total no. of students  – 2


E.g.1)  In a row of 54 persons, A is 35th from the left side of the row and B is 22nd from the right side of the row. Find the no. of persons sitting between A and B?

Solution: Here Sum of positions of A & B from opposite ends = 35 + 22 = 57 > Total no. of persons

∴ No. of persons between A & B = (Position of A from left + Position of B from right) – Total no. of students – 2

⇒ No. of persons between A & B = (35+22) – 54 – 2 = 57 – 54 – 2 = 1

 

Type 4

If total no. of students is to be calculated and positions of different persons from any side are given then it is always a case of ‘cannot be determined’ or ‘data inadequate’ or ‘can’t say’. This is because we do not know if there is overlapping or not.

E.g. In a row Position of A from left side of the row is 18th and position of B from right side of the row is 25th. Find the total no. of students in the row?

Solution: Cannot be determined as position of different persons is given from the same side.

 

Type 5

Positions of two persons is given and their positions are interchanged and after interchanging position of 1st person is given from same side as before interchanging

  • Position of 2nd person from the same side as before interchanging = Position of 2nd person from same side before interchanging + (Position of 1st person after interchanging – position of 1st person before interchanging from same side)
  • To find total no. of students Þ Find the person whose position from both sides can be depicted from the statement. Add both his positions from opposite ends and subtract 1.
  • To find no. of persons between them Þ Difference in the position of common person whose position from same side before and after interchanging is given then subtract 1

E.g. A and B are standing in a row of persons. A is 18th from left side of the row and B is 24th from right side of the row. If they interchange their positions A becomes 31st from left. Find

  1. i) New position of B from right side
    ii) Total no. of persons
    iii) No. of persons between A & B

Solution:

  1. i) New position of B from right side = Position of B from right side before interchanging + (Position of A from left side after interchanging – Position of A from left side before interchanging)

⇒ New position of B from right side = 24 + (31 – 18) = 24 + 13 = 37th

         ii) Total no. of persons = (A’s position from right before interchanging + A’s position from left           before interchanging) – 1

⇒ Total no. of persons = (B’s position from right after interchanging + A’s position from left before interchanging) – 1

⇒ Total no. of persons = (24 + 31) – 1 = 55 – 1 = 54

         iii) No. of persons between A & B = (Position of A from left after interchanging– Position of A          from left before interchanging) – 1

⇒ No. of persons between A & B = (31 – 18) – 1 = 13 – 1 = 12

 

Type 6

If positions of two different persons are given from opposite sides of the row and a third person is sitting exactly in middle of the two and total no. of persons in the row is to be calculated as

  1. i) When position of third person sitting is given from either side of row
  2. ii) When position of third person is given from either of the two persons between whom he/she is sitting

Then find the position of the 3rd person from both sides of the row and hence find total no. of persons according to type 1

E.g. 1) In a row of persons, position of A from left side of the row is 9th & position of B from right side of the row is 8th.If C is sitting just in middle of A & B and position of C from left side of the row is 15th. Find the total no. of persons in the row?

 Solution: Position of C from left is 15th and A from left is 9th so there are (15 – 9 – 1 = 5) persons are sitting between A and C. As C is sitting in middle of A and B so there must also be 5 persons sitting between B and C.

Thus position of C from right = Position of B from right + 5 + 1 = 8 + 6 = 14th

Total no. of students = (Sum of positions of C from both sides – 1)

⇒ Total no. of students = (15 + 14) – 1 = 29 – 1 = 28


E.g. 2) In a row of persons, Position of A from left side of the row is 11th and B from right side of the row is 19th. If C is sitting just in middle of A & B and position of C from A is 7th. Find total no. of persons in the row?

Solution: Position of C from Left = Position of A from left + Position of C from A = 11 + 7 = 18th

Given C is 7th from A and C is sitting in middle of A and B then also C is at 7th position from B

Position of C from right = Position of B from right + Position of C from B = 19 + 7 = 26th

Total no. of students = (Sum of position of C from both sides – 1)

⇒ Total no. of students = (18 + 26) – 1 = 44 – 1 = 43

 

Type 7

In the questions where it is asked to find minimum no. of persons in a row then it is always a case of overlapping i.e. given positions of persons from either sides overlap each other.

Then

Minimum no. of persons = Sum of positions of persons from both sides – Persons between them – 2

E.g. If position of A from left side of a row is 15th and position of B from right side of a row is 19th and only 1 person is sitting in middle of A & B. Find the minimum number of persons that can be seated in this row?

Solution: Total no. of persons = 15 + 19 – 1 – 2 = 31

 

Type 8

These are ordering type questions. In this type of question, it is given that there are several people living in an n-storey building. Some information will be given about the relative positions of one above or below the other. You need to find which floor each person lives on. These are almost similar to seating arrangement questions.  However, you may be required to apply the rules you learnt above, in these problems.

The document Ranking and Position - Introduction and Examples (with Solutions), Logical Reasoning | Reasoning Aptitude for Competitive Examinations - Bank Exams is a part of the Bank Exams Course Reasoning Aptitude for Competitive Examinations.
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FAQs on Ranking and Position - Introduction and Examples (with Solutions), Logical Reasoning - Reasoning Aptitude for Competitive Examinations - Bank Exams

1. What is ranking and position in logical reasoning?
Ans. Ranking and position in logical reasoning refer to the arrangement or order of objects, individuals, or elements based on specific criteria or conditions. It involves determining the relative position or rank of each element within a given set or sequence.
2. How can ranking and position be determined in logical reasoning?
Ans. Ranking and position can be determined in logical reasoning by analyzing the given information, applying logical deductions or rules, and making inferences based on the provided conditions. By carefully evaluating the given criteria and constraints, one can arrange the elements in a particular order or determine their relative positions.
3. What are some common examples of ranking and position problems in logical reasoning?
Ans. Some common examples of ranking and position problems in logical reasoning include arranging a group of people based on their heights, determining the order of finish in a race based on given time intervals, ranking students based on their scores in an exam, or determining the position of different objects in a row or column based on specific characteristics.
4. How can logical reasoning problems involving ranking and position be solved?
Ans. Logical reasoning problems involving ranking and position can be solved by carefully analyzing the given information, making logical deductions, and using elimination techniques. Creating a visual representation, such as a diagram or table, can often help in visualizing the problem and finding the solution. Additionally, breaking down the problem into smaller steps and considering all possible scenarios can aid in solving complex ranking and position problems.
5. What strategies can be employed to solve ranking and position problems efficiently?
Ans. To solve ranking and position problems efficiently, it is important to identify and utilize any given clues or conditions effectively. Look for direct relationships or restrictions that can be inferred from the information provided. Additionally, consider applying logical reasoning techniques such as process of elimination, making assumptions, and using trial and error to arrive at the correct solution. Regular practice and exposure to various types of ranking and position problems can also enhance problem-solving skills in this area.
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