ORDER AND RANKING

Note: 1.

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 34th and position of Rahul from the right side is 37th. 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 other 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 13th. 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.

Number 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 24th from the left side of the row and Nitesh is 20th 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 36th from the left side of the row and Nitesh is 29th 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 left side of the row is 22nd and position of Nitesh from right side of the row is 35th. Find the total no. of students in the row?

Solution:

Non-overlapping case: If Rahul and Nitesh do not overlap, the total number of students would be at least 22 + 35 = 57

Overlapping case: If they overlap (i.e., Nitesh is to the left of Rahul’s position from the right end, and vice versa), the total number would be less than 57.

Type 4 of Ranking Arrangement

If positions are interchanged.

Example: Rahul and Nitesh are standing in a row of persons. Rahul is 12thfrom 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

New position of Nitesh from right side
Total number of person
Number of person between them

Sol:

Rahul Position changes from 12th to 25th 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
In this questions, 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 18th 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
of persons between Rahul & Nitesh = (Position of Rahul from left after interchanging – Position of Rahul from left before interchanging) – 1 ⇒ 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 10th and position of Nitesh from the right side of the row is 9th. If Gaurav is sitting just in the middle of Rahul and Nitesh and position of Gaurav from left of the row is 16th. Find the total number of persons in the row?

Sol: Position of Gaurav from left is 16th and Rahul from left is 10th 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 = 15th

Total number of persons = Sum of Gaurav’s positions from both sides – 1

= (16 + 15) – 1

= 31 – 1

= 30

Order and Ranking Questions and Answer

Q1. Priya and Divya are ranked seventh and twelfth respectively from the top in a class of 35 students. What will be their respective ranks from the bottom in the class?

a) 24th and 28th

b) 29th and 24th

c) 28th and 23rd

d) 29th and 34th

e) None of these

Answer : b

Q2. There are 31 boys in a horizontal row. Prabu was shifted by three places towards his right side and he occupies the middle position in the row. What was his original position from the right end of the row?

a) 13th

b) 17th

c) 18th

d) 19th

e) None of these

Answer : d

Q3. A is shorter than C and C is as tall as B and D is taller than B. Who is the tallest?

a) A

b) B

c) C

d) D

e) Both B and D

Answer : d

Q4. In a row of girls, Vaishali is 19 from the start and 15 from the end. In another row of girls, Monika is 14 from the start and 22 from the end. How many girls are there in both the rows together?

a) 68

b) 70

c) 67

d) 69

e) None of these

Answer : a

Q5. Among the five people A, B, C, D and E, each having different age. C is younger than only D. A is older than E. E is not the youngest. Who amongst the following are older than E but younger than D?

a) C

b) A

c) B

d) Both C and A

e) Both A and D

Answer : d

Q6. Charu correctly remembers that her father‟s birthday is after 24 but before 29 of May. Her sister remembers that their father‟s birthday is after 27 but before 31 May and her brother remembers that the birthday is on an even date. On which date in May is definitely their father‟s birthday?

a) 26th

b) 28th

c) 30th

d) Data inadequate

e) None of these

Answer : b

Q7. In a queue, Preethi is fourteenth from the front and Priyanka is eleventh from the end, while Prithika is exactly in between Preethi and Priyanka. If Preethi is ahead of Priyanka and there are 36 girls in the queue, how many girls are there between Preethi and Prithika?

a) 9

b) 6

c) 5

d) 10

e) 11

Answer : c

Q8. In a row of 45 girls facing south, P is 18th from the right end. There are ten girls in between P and S. what is the position of S from left end of the row?

a) 38

b) 16

c) 32

d) Data inadequate

e) None of these

Answer : d

Direction (Q. 9-10): There are seven students P, Q, R, S, T, U and V. who secured different marks in an examination. P secured more than S, but less than V. U secured more than only Q and R. V don‟t secured the highest marks. The one who secured the second lowest marks is 48 and the one who secured the second highest marks is 78.

Q9. If R secured twelve marks more than Q, then how many marks did Q secured?

a) 60

b) 36

c) 40

d) 42

e) None of these

Answer : b

Q10. . If U secures 52 marks, then what will be the expected marks of P and S respectively?

a) 62, 54

b) 58, 62

c) 72, 50

d) 56, 68

e) None of these

Answer : a

ORDER AND RANKING

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