RANK AND ORDERING

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RANK AND ORDERING

 
 
 
Rank and ordering problems are common in competitive exams, especially in quantitative aptitude sections. These problems assess a candidate's ability to arrange or rank a given set of elements based on specific conditions or criteria
 
Here are some common types of rank and ordering problems encountered in competitive exams:
  • Candidates may be asked to arrange a group of individuals based on their heights or ages. The conditions could include arranging them in ascending or descending order or determining the position of a particular person in the group
  • Problems may involve arranging a series of numbers or alphabets according to a given rule. For example, candidates may need to arrange a set of numbers based on their prime factorization or alphabetical order
  • Candidates might be asked to determine the rank of a participant in a sports tournament based on the number of matches won, goals scored, or any other relevant criteria
  • Problems may require candidates to arrange a set of dates or events in chronological or reverse chronological order. This could involve historical events, anniversaries, or other time-related sequences
  • Candidates may need to arrange a group of students based on their scores in a particular subject or exam. This could involve determining who scored the highest or the lowest
  • Problems might involve comparing the heights, ages, or scores of two or more individuals and determining their relative positions
  • Candidates may be given information about the seating arrangement of a group of people and asked to determine the positions of individuals based on specific conditions
  • Problems may require candidates to determine the position of a person in a queue or line based on certain conditions, such as the number of people ahead or behind them
  • In some cases, candidates may be presented with a circular arrangement of objects or individuals and asked to determine their positions based on certain conditions
 
Types of Questions
 

Positional Questions:

  • Finding someone's rank: Given information about someone's position relative to others (e.g., "3rd from the top" or "2 places below X"), determine their overall rank.
  • Finding someone's position: Given someone's rank, determine their exact position in a line or list (e.g., "A is ranked 5th, where is she standing?").
  • Interchanging positions: Analyze the consequences of two individuals swapping positions in a line or list.

2. Numerical Questions:

  • Calculating total numbers: Based on ranks or positions, find the total number of individuals or objects involved (e.g., "If A is 4th from the bottom in a class of 20, how many students are there?").
  • Ratio-based problems: Use ratios of ranks or positions to solve for unknown values (e.g., "A is ranked 2nd in a group of 5. If B is ranked 3rd in a group of 7, how many people are in B's group compared to A's?").

3. Time-based Questions:

  • Determining chronological order: Analyze information about events or actions happening in a sequence, and determine their chronological order based on given clues.
  • Finding specific dates or times: Based on relative time and date information, calculate the exact date or time of an event.

4. Data-based Questions:

  • Ranking data points: Arrange data points (e.g., sales figures, exam scores) in ascending or descending order based on given criteria.
  • Identifying outliers: Based on ranking data points, identify any significantly higher or lower values that fall outside the expected range.

5. Logical Reasoning Questions:

  • Using logical deductions: Combine ranking information with other clues to deduce additional information about positions or relationships between individuals or objects.
  • Identifying inconsistencies: Analyze information and identify any contradictions or inconsistencies in the given ranks or positions.
 
Alphabets in Rank and Ordering
 
Ascending Order Descending Order
A Z
B Y
C X
D W
E V
F U
G T
H S
I R
J Q
K P
L O
M N
N M
O L
P K
Q J
R I
S H
T G
U F
V E
W D
X C
Y B
Z A
 
 
 
 
 
Practice Questions on Rank and Ordering
 

1.A group of six friends - Alice, Bob, Carol, David, Eve, and Frank - is standing in a row. The following information is given:

  • Alice is standing to the left of Bob.
  • Frank is standing to the right of David.
  • Eve is standing to the right of Carol.

Solution: The possible arrangement based on the given information is:

  1. Alice
  2. Bob
  3. Carol
  4. Eve
  5. David
  6. Frank

 

2.Five students - Alex, Ben, Chris, Diana, and Emma - scored different marks in a test. Their marks are 80, 90, 75, 95, and 85, not necessarily in that order. Chris scored more than Emma but less than Ben. Diana scored more than Alex but less than Emma. Arrange the students in order of their marks.

Solution: The order of students based on their marks is:

  1. Diana (95)
  2. Ben (90)
  3. Emma (85)
  4. Alex (80)
  5. Chris (75)

3.Seven books - A, B, C, D, E, F, and G - are arranged in a shelf. The following information is given:

  • A is to the left of B and C.
  • D is to the right of C and E.
  • G is in the middle of the shelf.

Solution: The possible arrangement based on the given information is:

  1. A
  2. B
  3. G
  4. C
  5. E
  6. D
  7. F

4.Six friends - Jake, Kim, Lily, Mike, Nora, and Oscar - are sitting in a circular arrangement. The following information is given:

  • Jake is to the right of Lily.
  • Kim is to the left of Nora.
  • Oscar is exactly opposite Mike.

Solution: The possible circular arrangement based on the given information is:

  • Kim
  • Nora
  • Oscar (opposite Mike)
  • Lily (to the right of Jake)
  • Jake
  • Mike

5.Eight cars - Audi, BMW, Chevrolet, Ford, Honda, Jaguar, Kia, and Lexus - are parked in a parking lot. The following information is given:

  • Ford is to the left of Honda.
  • Jaguar is to the right of Audi and BMW.
  • Lexus is between Honda and Kia.

Solution: The possible arrangement based on the given information is:

  1. Ford
  2. Honda
  3. Lexus
  4. Kia
  5. Audi
  6. BMW
  7. Jaguar
  8. Chevrolet

6.Ten people - Amy, Bill, Carol, Dave, Ed, Fran, Greg, Helen, Ike, and Jack - are standing in a queue. The following information is given:

  • Amy is ahead of Carol and Ed.
  • Helen is behind Greg and Ike.
  • Jack is between Fran and Greg.

Solution: The possible arrangement based on the given information is:

  1. Amy
  2. Carol
  3. Ed
  4. Fran
  5. Jack
  6. Greg
  7. Helen
  8. Ike
  9. Bill
  10. Dave

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