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ORDER AND RANKING

Basics Of Order & Ranking
 

Formulas to determine the positioning of a person 

 

1) Left + Right = Total + 1 

 

2) Left = Total + 1 – Right

 

3) Right = 1 + 1 – left

4) Total = Left + Right

 

Note : the above formulas are only for a single person's position 

 

Example:

                          --------------------------------------------------------------------------------------------------------

                                     |                 |                     |                           |                           |

                                     1                  2                     3                          4                            5

 

                                                                                       |

                                                                                3rd from left

                                                                                3rd from right

                                                                               Total= 3+3-1


 

Same for vertical & Horizontal

1) Total + 1 = top + Bottom

2) Top = Total + 1 – Bottom

3) Bottom = Total + 1 – Top

4) Total = Top + Bottom 


Eg.1: In a row of 40 students, A is 15th  from the left end, find the rank from right end. 
Ans   Total = 40 

                                               ------------------------------------------------------------------------------

                                                                                                       |

                                                                                                     15 L

 


 

A’s rank from right side = Total + 1 – left 

                         = 40 – 15 + 1 

                         = 25 + 1 

                         = 26 

Example 2:  In a row of children. A is 17th from left, B is 15th from right.

 

(1) Find the total number of children in the row

 

Ans. Can’t be determined, as there are more than 1 possibilities

 

Example 3: In a  row of some children, S is 25th from left, T is 60th from right. If they interchanged their positions, then T becomes 70th from right end 

Find 

 (i) What is S’s right-hand position in new position

(ii) What is T’s left hand position in earlier position.

(iii) How many numbers of persons between S and T. 

(iv) What is the total strength 

(v) If ‘Q’ is placed exactly between S & T then what is his rank from left end?

 

Answers 

 

                                -------------------------------------------------------------------------------------

                                             |          ----- > 9 < --------                              |

                                            S1                                                                     T1

                                         25 L                                                                 60R

                                            T2                                                                   S2

                                             70R                                                               35L

                                             

 

1)S’s new position from left end = 35 

 

2)T’s left hand position in earlier position = 35 L 

 

i.e. L = 25 + 9 + 1 

          = 35

 

Or 

L = 94 + 1 - R 

   = 95 – 60 

   = 35

 

3) Persons in between = 70 – 60 – 1 

                                            = 9 

 

Or

  Persons in between = Total – 25 – 60 

                                         = 94 – 25 – 60 

                                         = 94 - 85 

                                         = 9 

 

4)Total strength = 25 + 60 + 9 

                                 = 95 

Or

  Total = 70 + 25 – 1 

             = 94 

5)

                                                         -------------------------------------------------------------------------

                                                              |              4            |                        4                       |

                                                              |                                                                                |

                                                              S                                                                               T

                                                             25 L                                                                          60R

 

Ans : 25 + 4 +1  = 30 from left 

 

Quiz 

 

1. In a group of 40 girls, when latha was shifted by 4 places towards her right, then she become 12th from the left end what was her earlier position from the right end of the row? 

 

1) 34 

2) 32 

3) 33 

4) 35 

5) None

 

2. In a group of 40 boys, Raju is 12th from the left end and Raghu is 17th from the right end. If Dilip is placed exactly between them what is his right hand rank? 

 

1) 22

2) 23

3) 24

4) 25

5) None

 

3. In a row of students, Ravi is 10th to left of Ramesh, who is 30th from the left end. If Ramesh is exactly in the middle of ravi and Sandeep, then find.

 

(I) How many minimum numbers of students is possible in that row? 

 

(1)39 

(2)38 

(3)40 

(4)41 

(5)Can’t be determined  

 

(II) What is the total strength? 

(1)90 

(2)80 

(3)40 

(4)70 

(5)Can’t be determined  

 

4. Amit is 24th from the left end and 6th from the right of Sumit. Anuj is 33th from the right end. Sumit is between Amit and Anuj.

 

(I) What will be the total strength?

 

(1) 45 

(2) 44 

(3) 50 

(4) 43 

(5) None 

 

(II) What is Anuj’s position from the left end? 

 

(1) 11

(2) 10

(3) 12

(4) 13

(5) None

 

Answers 

1) 3

2) 2

3) I) 3

  II) 5

4) I) 2

  ii) 3

THANK YOU

TEAM MIND ABILITY COACHING

2018-01-12 08:49:44