ORDER AND RANKING

ORDER AND RANKING

TYPE 1: TO FIND OUT THE POSITION OF A PERSON IN THE ROW FROM L.H.S/JR.H.S.

To find out the position of a person in a row from right hand side and left hand side = (Number of persons in the row + 1) – position of the person from the other side.

SOLVED EXAMPLES

Ex. 1. There are 12 persons in a row. The position of vipul is 71h from left. What is his position from the right end ?

Sol. There are total of 12 persons in the row and the position of vipul is 7th from left. So there are 5 more persons after him. It means his position is 6th from the right end.

Ex. 2. The position of Ram is 11th from right in a row of 50 persons. What is his position from the left end ?

Sol. There are total of 50 persons in the row and the position of Ram is 11th from right. So there are more 39  persons ahead of him. It means his position is 40th from the left end.

50+1-11=40

TYPE 2: TO FIND OUT THE NUMBER OF PERSONS IN THE ROW

Case I : Position of a person from L.H.S. as well as R.H.S. to find out the number of persons in the row, add up both the positions of the given person and reduce the value by 1.

Ex.3. Rohit is standing in a row. His position from the left is 7th and his position from the right is 10th.

How many persons are there in the row ?

Sol. Position of Rohit from both sides is provided to us. To find out the number of persons in the row, we add up both the positions and reduce the final figure by one.

From the above diagram, we observe  that there are Six persons ahead of Rohit and nine persons are below him in the row is 6 + Rohit + 9 = 6 +1 +  9 = 16  0r  7 + 10 – 1  = 16.

Case II: Position of one is given from the left end and of the other is given from the right end. The number of persons in between them is also given. To find out the total number of a persons in the row.

Ex.4. In a row, the position of Vivek is 12th from left in a row. Sham is 16 positions from right. Ishant is ahead of Vivek by three positions and between Ishant and Sham, there are 5 persons between them. What is the total number of persons in the row?

Sol.

Position of Vivek = 12th from left.

Position of Sham = 16th from right.

Position of Ishant from Vivek = 3

Persons in between Ishant and Sham = 5

Total number of persons = 12 + 16 + 3 + 5 = 36.

Case III: Position of one is given from the left end and of the other is given from the right end. The position of person in between them is also given, to find out the total number of persons in row.

Ex.5. The position of Aryan is 12th from left in a row. Sushant is 16 positions from right. There are 6 persons in between them. What is the total number of persons in the row?

Sol.

Position of Aryan = 12th from left.

Position of Sushant = 16th from right.

Persons in between them = 6.

Total number of students = 12 + 16 + 6 = 34.

Case IV: Position of one is given from the left end and of the other is given from the right end: The number of persons in the row is also given. Find out the total number of persons in between the two given persons.

Ex.6: The position of Anurag is 12th from left in a row. Bajaj is 16 positions from right. There are total of 56 persons in the row. What is the total number of persons in between them?

Sol.

Position of Anurag = 12th from left and position of Bajaj = 16th from right

Total number of persons in the row = 56

Number of persons in between them = 56 — (12 + 16) = 28.

Case V: Position of one is given from the left end and of the other is given from the right end. The position of the two is interchanged and the new ranking is given to them. Find out the total number of persons in the row.

When persons inter changes their positions, just add the number at “any one position” and deduct ‘1’ from it to get the total number of students.

Ex.7: Marry is 1,41ih from left and Nancy is 25th from right. They interchange their positions. Now Marry Is 39th from left and Nang is 50th from right. What is the total number of persons in the row?

Sol.

Marry is 14th from left. At the same position, Nancy is now at 50th from right. So we add up both the positions and reduce it by one.

14 + 50 – 1 = 63

Same result is obtained if we look at the position at the right side. Nancy was 25th from right and now at the same position Marry is 39th from left. So we simply add up both the rankings i.e., from left and right and reduce it by one.

25 + 39 – 1 =63

PRACTICE TEST-I GENERAL RANKING

1. Rohan is fourteenth from the right end in row of 40 boys. What is his position from the left end?

(a) 25th               (b) 27th               (c) 24th                (d) 26th               (e) None of these.

2. Ritesh is thirteenth from the left end in a row of children. Prabir is 12th from the right end and eighteenth from the left end. How many children are towards the right of Ritesh in that row?

(a) 12                   (b) 18                   (c) 17     (d) cannot be determined            (e) None of these.

3. Ravi ranks 16th from the top and 49th from the bottom in a class. How many students are there in the class?

(a) 66                   (b) 65                   (c) 64     (d) cannot be determined            (e) None of these.

4. In a row of girls Anuradha is seventh from the left end of the row and Rubal is ninth from the right end of the row. When Rubal is shifted towards left by three places, there are 5 girls between Anuradha and Rubal. How many girls are there in the row?

(a) 25                   (b) 24                   (c) 21                    (d) 23                   (e) None of these.

5. Two rows of 15 students each were standing from left to right facing each other. Neeru and Ria were standing facing each other at the 8th position in their respective rows. If both of them were shifted 5th position to their respective right, by how many positions would they be away from each other?

(a) 9                      (b) 10                   (c) 5                      (d) 11                   (e) None of these.

6. In a class of 39 students the ratio of boys and girls is 2 : I. Ashita ranks 15th among all the students from top and 8th among girls from bottom. How many boys are there below Ashita?

(a) 16                   (b) 17                   (c) 15                    (d) Data inadequate        (e) None of these.

7. In a class of 60, where girls are twice that of boys, Kapil ranks 17th from the top. If there are 9 girls above the Kapil. How many boys after him in rank?

(a) 3                      (b) 7                     (c) 12                    (d) 23                   (e) 32.

8. In a queue, Rahul is 14th from the front and John is 17th from the end, while Alisha is in between Rahul and John. If Rahul be ahead of John and there be 48 persons in the queue. How many persons are there between Rahul and Alisha?

(a) 8                      (b) 7                     (c) 6                      (d) 7                     (e) None of these.

9. Manish is eleventh from the left end and Prince is 20th from the right end in a row; If they interchange their positions, Manish becomes fifteenth from the left end. How many persons are there in the row?

(a) 36                   (b) 35                   (c) 33                    (d) 34                   (e) None of these

10. Sandeep is 25th from the right end and Rohit is 25th from the left end of a row . If they interchange their position then Sandeep becomes 25th from the left end . How many persons are sitting in the row?

(a) 51                   (b) 50                   (c) 49                    (d) CND                (e) None of these

ANSWERS

1. (b)     2. (e)     3. (c)      4. (b)     5. (b)     6. (b)     7. (c)      8. (a)      9. (d)     10. (d)

PRACTICE TEST-II PHYSICAL RANKING

1. In a Group of 6 children, T, K, V, O, M and W, T is fatter than M but not as fat as is W whereas V is the thinnest. Who is the fattest among them all?

(a) O                     (b) T                      (c) M                    (d) Data Inadequate                       (e) None of these.

2. Deepak is taller than Harish, who is shorter than Tanuj, Diksha is taller than Harman but shorter than Harish. Tanuj is shorter than Deepak. Who is the tallest?

(a) Deepak          (b) Tanuj             (c) Harish            (d) Harman         (e) Diskha

3. Among five boys, Vipul is taller than Kartik, but not as tall as Sam. Arvid is taller than Sabha, But  shorter than  Kartik. Who is tallest in the group?

(a) Sam                (b) Kartik             (c) Vipul               (d) Cannot be determined             (e) None of these.

4. Rohan is heavier than Sohan but not as heavy as Hitesh. Rohan is lighter than Kirti, Jayant Rohan but lighter than Rupesh. Who among them is the lightest?

(a) Kirti                (b) Rupesh          (c) Jayant            (d) Sohan            (e) None of these.

5. A is taller than B, C is taller than D. D is shorter than E. B and E are of same height. Which is true out of the following?

(a) C > E               (b) E > A               (c) B < E               (d) A > D              (e) B < D.  (e) None of these.

Directions (6-8): Study the following information carefully and answer the given questions.

Amongst five friends, A, B, C, D, E, each got different marks in the examination. A scored more than B but less than C. C scored 65 marks. D scored less marks than only E. The one who scored the minimum mark scored 60 marks and the one who scored the highest, scored 80 marks.

6. Who scored the second highest marks?

(a) B        (b) E                     (c) D                     (d) C                     (e) A

7. Who is the most likely to have scored 62 marks?

(a) B       (b) A                     (c) D                     (d) E                      (e) either E or B

8. Who scored the lowest marks?

(a) B       (b) E                      (c) D                     (d) C                     (e) A

9. In a class Harsh is 10th from the top and Harshita is 20th from the bottom. Naveen is 11 ranks above and 21 ranks below Harsh. How many students are there in the class?

(a) 60    (b) 61                   (c) 62                    (d) 58                   (e) one these

10. Mamta’s rank is 21st from the top and 15th from the bottom in the class. How mane student:. are there in the class?

a) 29                     (b) 36                   (c) 27                    (d) 35    (e) None of these

11. Among P, Q, R. S and T, each of them is of different weights, Q is lighter than only T. P is heavier than only S. Who will be second heaviest among the following?

(a) R                      (b) S                      (c) T                      (d) Q                     (e) None of these

12. In a queue, 11 persons are sitting and facing north. A is fifth from the right end. Five persons sit between B and A. Persons between A and C is same as persons between B and C. Then what is the position of B with respect to C?

(a) Fourth to the left                      (b) third to the left          (c) third to the right       

(d) none of these                            (e) Can’t be determined

13. Some persons are sitting in   a row, all are facing north. A sits second to the right of B, who sits fifth from the right end of the row. Only one person sits between B and C. No one sits to the left of C. How many persons are sitting in a row?

(a) 6                      (b) 7                      (c) 8                      (d) 11                   (e) 5

14. P, Q, R, S, T, U are having different toffees. P have more toffees than only S and T both but less than Q. R has more toffees than U but less than Q. Who among them have least number of toffees?

(a) R                      (b) S                      (c) T                      (d) Either (b) or (c)                          (e) None of these

15. Among P, Q, R, S, T and U; R is shorter than only P and U. S is shorter than T and Q. If each of them is of different heights, who among them will be the shortest?

(a) U                     (b) P       (c) S                      (d) Can’t be determined                (e) R

16. Adarsh is eleventh from the left end and Naveen is 20th from the right end in a row. If they interchange their positions, Adarsh becomes fifteenth from the left end. How many persons are there in the row?

(a) 36                    (b) 35                   (c) 33                    (d) 34                   (e) None of these

17. A is 25th from the right end and B is 25th from the left end of a row. If they interchange their position then A becomes 25th from the left end. How many persons are sitting in the row?

(a) 51                    (b) 50                   (c) 49                    (d) Can’t be determined (e) None of these

18. Ram is 11th to the left of Shyam, who is 15th from the left end and Harsh is 20th from the right end of a row, then what is the position of Ram from the right end of the row?

(a) 51                    (b) 50                   (c) 49                    (d) Can’t be determined               (e) None of these

Directions (19-20): Read the following information carefully. And answer the following question given below.

There are five businessmen viz. Andi, King , Johnson, Parin and David, each bought a four-wheeler vehicle for a different price. Andi paid more than both Johnson and David. Only King paid more than Parin. David did not pay the minimum amount. David paid Rs. 8000 for the vehicle.

19. If Parin paid 17000 more than the price paid by David, which of the following could be possible amount paid by Andi?

(a) Rs. 35000                     (b) Rs. 16000                     (c) Rs. 7500         (d) Rs. 26000      (e) Rs. 6500

20. In a queue of persons facing south, Sun is 8th to the right of Prat, who is 12th from the left end. Mani is 13th from the right end and 3rd to the left of the Sun. Find the total no of persons in the queue?

(a) 29                    (b) 26                   (c) 34                    (d) 38                   (e) None of these

Direction (21-23): Read the following information carefully. And answer the following questions given below.

Seven boys J ins, J in, Jack, Jolly, John, Jati and Jai are sitting facing north in a row from Left to right (not necessarily in the same order) and had appeared for a Test in Institute and secured rank from 1 to 7(not necessarily in the same order).

• Jolly secured better rank than Jai and John.
• Jati is sitting immediate left of John
• Both John and Jim are sitting somewhere on the right of Jin.
• Jin gets lesser marks than Jati and he is not sitting anywhere on the right of Jati.
• jack got more marks than John but lesser marks than J in.
• Jai is sitting immediate right of Jack and on the immediate left of Jony.
•                Jim is sitting somewhere on the left of Jack.
• Rank of Jony lies between rank of Jim and Jati. Jim has better rank than Jati.

21. Who is getting highest marks in test?

(a) Jim                  (b) Jony                (c) Jai                    (d) John (e) None of these

22. Which of the following statements is absolutely true for Jati as regards sitting arrangement and Marks?

(a) He is sitting left of Jai and getting better marks than Jai

(b) He is sitting left of J inn and getting better marks than Jai

(c) He is sitting right of Jinn and getting worse marks than Jai

(d) He is sitting left of John and getting better marks than J in.

(e) He is sitting right of Jim and getting better marks than Jack.

23. Who is sitting on the rightmost corner in the row?

(a) Jin                   (b) Jony                (c) John                (d) Can’t be determined (e) None of these

ANSWERS

1. (a)      2. (a)      3. (a)      4. (d)      5. (d)      6. (c)      7. (b)      8. (a)      9. (b)      10. (d)

11. (d)   12. (b)   13. (b)   14. (d)   15. (c)    16. (d)   17. (d)   18. (d)   19. (b)   20. (a)

21. (a)   22. (d)   23. (d)

More Questions

Q.1: In a row of certain persons, Pradip is sitting 463 from the left end and 531 from the right end. Find out the total number of persons in that row? 

1) 963                   2) 942                   3) 993                   4) Can’t be determined                                 5) None of the above

Q.2. In a row all the persons are facing north, Rahul is 33rd from the left end and in the right side of Rahul, there are only 16 persons. Find out total number of persons in this queue? 

1) 49                     2) 50                     3) 51                     4) Can’t be determined                                 5) None of these

Q.3. In a row of 60 persons, Ganesh is 26th from left end. Find out his position from the right end.

1) 35                     2) 36                     3) 34                     4) Can’t be determined                                 5) None of the above

Q.4. In a row, Yash is 15th from left end while Rima is 56th from right end and 16th to the right of Monu. Find out total number of persons of this queue? 

1) 65                     2) 83                     3) 94                     4) Can’t be determined                                 5) None of these

Q.5. Siya is 18th from left end and 12th to the right of Rinku who is 38th from the right end. If all of them are facing north, Find out total number of persons in the row? 

1) 44                     2) 43                     3) 45                     4) Can’t be determined                                 5) None of these

6. In a row of ten boys, when Mohit was shifted by two places towards the left, he became seventh from the left end. What was his earlier position from the right end of the row?

(A) First (B) Second                          (C) Third                              (D) Fourth

1.Ans: 3

Solutions:

1.Ans: 3

Short cut formula: The total number of persons is = Position of Pradip from the right ends + Position of Pradip from the left ends – 1

= 463 + 531 – 1 = 993

Hence, the total number of persons is 993.

2. Ans: 1

Solution: Short cut formula: The total number of persons is = Position of Rahul from the one of the ends + Number of persons are there in the opposite direction of Rahul = 33 + 16 = 49

Hence, the total number of persons is 49.

3. Ans: 1

Solution: Short cut formula: The total number of person =  Position of Ganesh from the right ends + Position of Ganesh from the left ends – 1

Now, Position of Ganesh from the right ends = The total number of person – Position of Ganesh from the left ends + 1

= 60 – 26 + 1 = 35.

Hence, Ganesh is 35th from the right ends.

4. Ans: 4

Solution: To find out the total member of a row we have to know the position of a person from the left end and the position of a person from the right end and there must be a relation among that two persons. Here, the position of Yash and Rima are given but there is no relation among them.

Hence, the given data is not sufficient to answer this question.

5. Ans: 2

Solution: Rinku is 38th from the right end, it means there are 37 person to the right side of Rinku. Siya is 18th from left end and 12th to the right of Rinku. It means there are 17 persons to the left side of Siya and there are 11 persons between Rinku and Siya in that row.

Therefore, the number of person = 38 + 6 -1 = 43

6.  Ans: B

Number of boys in the row = 10.

Mohit’s new position is 7th from the left or 4th from the right.

His earlier position was two places to the right of his new position i.e. his earlier position was second from the right.