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**Order & Ranking Tricks & Tips**

**Order & Ranking Tricks & Tips**

*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) Position of a person or things in order is known as Rank.** 2) Position can be from sides of row.** 3) Rank is always from top or bottom of the row.*

**When we are doing order and ranking we have to know basically two type of symbols:*** “>” greater than** “<” less than*

**Symbol of “>” greater than and “<” less than implies for the same person:*** a) Total no. of persons= [(No. of person from top + No. of person from bottom) – 1]** b) Total no. of persons= [(No. of person from left + No. of person from right) – 1]*

*TRICKS*

**TRICK 1:*** If you have to find the Rank of a person in a queue:** *

**TRICK 2:*** If you have to find the Total no. of a persons in a queue:*

**a)*** *

**Example:*** In a exam result, Deep ranks 9th from the top and and 15 from the bottom in a class. How many students are there in the class?** Sol :- Formula Used** =[No. of students from top + No. of students from bottom] -1** =[9+15]-1** =24-1** =23*

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

**Example:** In a row, position of Amit from left side of the row is 27th and there are 5 persons after Amit in the row. Find total no. of persons in the row?* Solution: No. of persons in the row = Position of Amit from left + No. of persons after Amit** Total no. of persons= 27 + 5 = 32*

**TRICK 3:*** If the positions of two persons are given from opposite ends and the total number of persons are also known, then two cases will arise to find the number of persons between these two persons.** a) Overlapping: the sum of positions of the two persons from opposite ends is more than total number of persons.*

**b) No-overlapping:**the sum of positions of the two persons from opposite ends is less than total number of persons.**Type (a): Overlapping*** No. of person between two different person = [(position of person from left + position of person from right) – Total no. of person] -2** Example:*

*Mohan is sitting 35th from the left end and Sohan is sitting 22nd from the right end of the row. If there are 54 students in a row, find the no. of person sitting between Mohan and Sohan.*

**Solution:***Sum of position of Mohan & Sohan from opposite ends= 35+22=57, i.e. more than the total number of students (>54)*

*Therefore, No. of students between Mohan & Sohan= [(position of Mohan from left + position of Sohan from right) – Total no. of students] -2*

*⇒ [(35+22)-54]-2*

*⇒ (57-54)-2*

*⇒ 3-2*

*⇒ 1*

**Type (b): No-overlapping*** No. of person between two different person = Total no. of person -(position of person from left + position of person from right)** Example:*

*Mohan is sitting 15th from the left end and Sohan is sitting 20th from the right end of the row. If there are 54 students in a row, find the no. of person sitting between Mohan and Sohan.*

**Solution:***Sum of position of Mohan & Sohan from opposite ends= 15+20=35, i.e. less than the total number of students (<54)*

*Therefore, No. of students between Mohan & Sohan= Total no. of students -(position of Mohan from left + position of Sohan from right)*

*⇒ 54-(15+20)*

*⇒ 19*

**NOTE: If the positions of different persons are given from the same side (either left or right) in the above case, then it is always a case of ‘cannot be determined’ or ‘data inadequate’.**

**TRICK 4:*** When two person changes their positions in the queue.** If two persons are on a definite position and they interchange theier positions.*

**Total no. of person=** (Present position of 1st person + Previous position of 2nd person) -1* No. of persons between 1st & 2nd= (Position of 1st from left after interchanging– Position of 1st from left before interchanging) – 1*

**Example:*** In a row of bikes, Honda is 8th from the left and Hero is 17th from the right. If they interchange their positions, Honda becomes 14th from the left. How many bikes are there in the row & no. of bikes between Honda & Hero?** Solution:*

*Total no. of bikes= (Present position of Honda + Previous position of 2nd person) -1*

*= (14+17)-1*

*= 31-1*

*= 30*

*Number of bikes between Honda & Hero= (Position of Honda from left after interchanging– Position of Honda from left before interchanging) – 1** = (14-8) -1** = 6-1** = 5*

**Position of 2 ^{nd} person from the same side as before interchanging=** Position of 2

^{nd}person from same side before interchanging + (Position of 1

^{st}person after interchanging – position of 1

^{st}person before interchanging from same side)

**Example:*** 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 new position of B from right side.** Solution:*

*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*

**RANKING TEST:** In this type of question, generally a set, group or series of numerals is given and the candidates is asked to trace out numerals following certain given conditions or lying at specific mentioned positions after shuffling according to a certain given pattern.

*Here is a table.*

No. |
Rank from top |
Rank from bottom |

A |
1 |
6 |

B |
2 |
5 |

C |
3 |
4 |

D |
4 |
3 |

E |
5 |
2 |

F |
6 |
1 |

*Let discuss about ‘D’*

*D’s rank from top = 4 and from bottom = 3*

*Now total rank = 6 Means total rank = (rank from top + rank from bottom) – 1*

*Now rank from top = (total rank + 1) – rank from both*

*Rank from bottom = (total rank + 1) – rank from top*

**1) Find out total no. of persons in a line *** In this question, the below formula is used.** Total no of persons= Left position in the line + Right position in the line-1.** For Example: *

*A is 25th from the left and 32nd from the right, find out the total no of persons in the line.*

*Total no of persons = Left position in the line + Right position in the line-1.*

*Total no of persons = 25 + 32 -1 = 56*

**2) Find the total no of persons if there is a given a difference*** Total no of persons = person’s position from the given side or from the top or bottom + given difference** For Example: *

*A’s position from the top is 17th and the persons behind A are 7. Find out total no of persons in a raw.*

*Total no of persons = person’s position from the given side or from the top or bottom + given difference*

*Total no of persons = 17 + 7 = 24*

**3) When total no persons and position of two different persons given from the opposite. Find out no of persons between this two persons.**

**1) If Total no of persons> total of position of both opposite persons *** Formula: *

*No of persons between two person’s position = Total no of persons – total of both persons of opposite position*

**For example:***There are 58 persons in a row, in which A is 11th from the left and B is 22nd from the right side of the row. Find out no of people between A and B.*

*No of persons between two person’s position = Total no of persons – total of both persons of opposite position*

*No of persons between two person’s position =58 – (11+22)*

*=58-33*

*=25*

**2) If Total no of persons < total of position of both opposite persons *** Formula:*

*No of persons between two person’s position = Total of both persons of opposite position – total of all persons – 2*

__For example:__*There are 50 persons in a row, in which A is 24th from the left and B is 30nd from the right side of the row. Find out no of people between A and B.*

*No of persons between two person’s position =Total of both persons of opposite position – total of all persons – 2*

*No of persons between two person’s position = (24+30) – 58*

*=54-50-2*

*=2*

**4) If persons interchange their positions in a row and the interchange position of one person given. **

__Formula __* 1) Total no of persons in a row = person position before change + person position after change – 1 *

__For Example:__*In a row A is 11st from the left and B is 18th from the right, after interchanging their positions A becomes 29th from the left. Find the total no of persons in a row.*

__Formula__*Total no of persons in a row = person position before change + person position after the change – 1*

*Total no of persons in a row = 11 + 29 – 1*

*= 39*

**2) No of persons between A and B = person position after change – person position before the change – 1 *** Total no of persons in a row = 29 – 11 – 1** = 17*

**3) New position of the second person after interchange = Position of the second person from right side before interchanging + (Position of the first person from left side after interchanging – Position of A from left side before interchanging) *** New position of the second person after interchange = 22+ (29-11)** = 18 + 18** = 36*

**DIRECTION TEST**

*In this test, the questions consist of a sort of direction puzzle. A successive follow-up f directions is formulated and the candidate is required to ascertain the final direction or the distance between two points. The test is meant to judge the candidate’s ability to trace and follow correctly and sense the direction correctly.The adjoining figure shows the four main directions (North N, South S, East E, West W) and four cardinal directions (North East NE, North West NW, South East SE, South West SW) to help the candidates know the directions.*

**Always Remember:**

left + left |
Down |

Left + right |
Up |

Right + left |
Up |

Right + right |
Down |

Up + left |
Left |

Up + right |
Right |

Down + left |
Right |

Down + right |
Left |

** **

**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*

**Example:**

*|*

*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 13th from the left end, find the rank from right end. **

** **

**Ans **Total = 40

*13L*

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

*= 40 – 13 + 1*

*= 27 + 1*

*= 28*

**Eg2: M a row ‘P’ is 25th from left end, Q is 30th from right end. Find the total no. of students in all. **

**Ans.**

*Cant be Determined as there are more than 1 possibilities*

*Case 1*

**Note : **When total is not given and 2 persons positions from left and right are given, then answer is C.D

**Eg 3: 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*

**Eg 4: 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 **

*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)*

**Ans :** 25 + 4 +1 = 30 from left

**Quiz**

**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*

**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*

**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*

**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**

**Explanation**

*Members in between** 24 – 12 – 1 = 11** Or** 29 – 17 – 1 = 11*

*Why we subtract 1 is because we do not want to consider the 29th rank, we want the nos. between 29 & 17.*

*Dilip’s rank from right = 17 + 5 + 1 = 23*

*Position based Problems*

*Type-1:*

*To find out the position of a person in the row from L.H.S/R.H.S (To find out the position of a person in a row i.e., either from top/bottom)** The position of a person from L.H.S/top = Total number of people in a row + 1 – Position of the same person from R.H.S/bottom.** The position of a person from R.H.S/bottom = Total number of people in a row + 1 – Position of the same person from L.H.S/top.*

**Example-1:**

**Example-1:**

__There are 12 persons in a row. The position of Vipul is 7th from left. What is his position from the right end?__* Solution*

*→Total number of people = 12*

*→Position of Vipul from the left end = 7th*

*→Position of Vipul from the right end = Total number of people in a row + 1 – position of Vipul from →the left end*

*= 12 +1 – 7*

*= 6*

*→Therefore, Vipul is 6th from the right end*

**Example-2:**

**Example-2:**

__The position of Sita is 11th from the top in a column of 50 students. What is her position from the bottom?__* Solution*

*→Total number of people = 50*

*→The position of Sita from top = 11th*

*→The position of side from bottom = (Total number of people + 1 – position of Sita from top)*

*= 50 + 1 – 11*

*= 40*

*ஃTherefore, the position of Sita from the bottom = 40th*

**TYPE 2:**

**TYPE 2:**

*To find out the total number of persons in the row** CASE 1: Here the position of a person from L.H.S as well as R.H.S is already given, and we are asked to find out the number of persons in the row*

*A total number of persons in a row = Position of a person from L.H.S/top + Position of the same person from R.H.S/bottom – 1.*

**EXAMPLE-3: **

**EXAMPLE-3:**

__Vishal is standing in a row. His position from the top is 6th and his position from the bottom is 12th.How many people are there in a row?__* Solution*

*→Position of Vishal from both sides is provided to us.*

*So,*

*→A total number of persons in a row = Position of Vishal from Top + Position of Vishal from →Bottom – 1.*

*→Total number of people in a row = 6th + 12th – 1*

*= 17*

**CASE-2:***We need to find out the total number of a person in the row when – Position of one person 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.*

**Example-4: **

**Example-4:**

__In a row, the position of Rahul is 10th from left in a row. Kajol is 17th from the right. Prem is ahead of Rahul by four positions and between Prem and Kajol, there are 6 persons between them. What is the total number of persons in the row?__* Solution*

*→Position of Rahul = 10th from left*

*→Position of Kajol = 17th from right*

*→Position of Prem from Rahul = 4*

*→Persons between Prem and Kajol =6*

*→Total number of people in a row = 10+17+4+6 = 37*

**CASE-3: **Position of one is given from the left end and of the other is given from the right end. The position of persons in between them is also given.

**Example-5:**

**Example-5:**

__The position of Farhaan is 15th from left in a row. Sushant is 20th from the right end. There are 6 persons in between them. What is the total number of persons in the row?__* Solution*

*→Position of Farhaan = 15th from the left end*

*→Position of Sushant = 20th from right end*

*→Persons in between them = 6*

*→Total number of people in the row = 15 + 20 + 6 = 41*

**CASE-4: **Position of one is given from the left end and of the other is given from the right end. The total number of persons in the row is also given. We have to determine the number of persons in between them.

**Example-6: **

**Example-6:**

__The position of Sushma is 7th from the left in a row. Bhisma is 23rd from the right end. There is total of 57 persons in the row. What is the total number of persons in between them?__* Solution*

*→Position of Sushma = 7th from left*

*→Position of Bhisma = 23rd from right*

*→Total number of people in the row = 57*

*→Number of people between Sushma and Bhisma = 57 – ( 23 + 7 ) = 27*

**CASE-5: **We need to obtain the total number of persons sitting in a row when two people interchange their position.

**Example-7:**

**Example-7:**

__James is 14th from left and Nancy is 25th from the right. They interchange their positions. Now James is 39th from left and Nancy is 50th from the right. What is the total number of persons in the row?__* Solution*

*→As we have discussed earlier, to determine the total number of people, we need the L.H.S and R.H.S value of the same person.** →If we consider position-1, we observe that James is 14th from left and Nancy is 50th from the right. →Nancy is 50th from right after interchanging their positions. This implies that the initial position of →James from the right end was 50th.** →A total number of persons in a row = Position of James from left + Position of James from right – 1.** 14 + 50 – 1 = 63** →The Same result is obtained if we look at the position-2.** →Nancy was 25th from right and now at the same position, James is 39th from left. So, we simply add up both the rankings i.e., from left and right and reduce by 1.** 25 + 39 – 1 = 63** →Therefore, the total number of people in the row = 63.** *

**Practice Exercise with Solution**

**Practice Exercise with Solution**

**Q1) Rohit is 7 ranks ahead of Karan in a class of 39. If Karan’s rank is 17th from the last, what will be Rohit’s rank from the start? *** a) 14th*

*b) 15th**c) 16th**d) 17th*

*e)None of these*

__Solution__* →Given Karan is 17th from last** →Rohit is 7 ranks ahead of Karan. Since, the position of Karan is given from the last, Rohit rank from last is** 17 + 7 = 24** →Position of Rohit from the start = Total strength of the class + 1 – Position of Rohit from the bottom** = 39 + 1 – 24** =16th*

**Q2) In a class of 39 students, the ratio of boys and girls is 2:1. Akruthi ranks 15th among all the students from top and 8th among girls from the bottom. How many boys are there below Akruthi? *** a) 16*

*b) 17**c) 15**d) Data Inadequate**e) None of these*__Solution__

*There are 26 boys and 13 girls*

*→ Among 13 girls, 7 girls are above Akruthi. So, the remaining girls should be below her i.e., ( 13 – 8 ) = 5 girls are below her.** → Since there are only 7 girls above Akruthi, the remaining 7 places are occupied by boys. So, the remaining boys will be below Akruthi.** → Below Akruthi, there are 39-15 = 24 students. Among those 24 students, the number of boys below Akruthi is** 24 – 7 = 17** *

Q3) In a queue, Roshan is 14th from the front and Jeelani is 17th from the end, while Aysha is in between them. If Roshan is ahead of Jeelani and there are 48 persons in the queue. How many persons are there between Roshan and Aysha?

*a) 8*

*b) 7**c) 6**d) 7**e) None of these*__Solution__

*→The number of people between Roshan and Jeelani = 48 – ( 14 + 17 ) = 17 person** →Now, Aysha is exactly between Roshan and Jeelani.** →Therefore, there are 8 persons between Roshan and Aysha.** *

Q4) In a row of 40 boys when Kushal was shifted to his left by 4 places, his place from the left end of the row became 10. What is the position of Suraj from the right end of the row, if Suraj was three places to the right of Kushal’s original position?

*a) 22*

*b) 23*

*c)25*

*d)24*

*e) None of these*__Solution__*→On shifting 4 positions to the left, Kushal is 10th from the left end.**→So, initially, he was at 14th position from the left end, which implies that Suraj is at 17th position from the left end.**→The position of Suraj from the right end = Total number of boys + 1 – Position of Suraj from left end**= 40 + 1 – 17 = 24*

**Q5) In a row of 25 children facing South, R is 16th from the right end and B is 18th from the left end. How many children are there between R and B? *** a) 2*

*b) 4*

*c)3*

*d) Data inadequate**e) None*__Solution__

*→To determine the number of people between B and R, = Total number of people – ( B’s position + R’s position ) =25 – ( 18 + 16 ) = – 9** →Since the number of people can never be negative. Let us find out the position of B and R from the other end.** →Position of R from L.H.S = Total number of students + 1 – Position of R from R.H.S = 25 + 1 – 16 = 10** →Position of B from the R.H.S = Total number of students + 1 – Position of B from L.H.S = 25 + 1 – 18 = 8*

*→Number of students between B and R = Total number of students – ( B’s position + R’s position )** = 25 – ( 10 + 8 )** = 7** Q6) In a row of 35 children, M is 15th from the right end and there are 10 children between M and R. What is R’s position from the left end of the row? *

*a) 15th*

*b) 5th*

*c)30th*

*d) Data inadequate**e) None*__Solution__*→If we observe the question clearly, we notice that there are two possible cases**→In one case, R might be right of M and in another case, R might be left of M.*

*→If R is towards the right side of M, then it will be in 5th position from the right end.** →Position of R from L.H.S = 35 + 1 – 5 =31st** →If R is towards the left side of M, then it will be on 25th position from the right end.** →Position of R from L.H.S = 35 +1 – 25 =11th** →Since R can be either 31st or 11th position from the left end. Option (d) is the correct option.** *

Q7) In a row of 40 children, Q is 14th from the left end and there are 16 children between Q and M. What is M’s position from the right end of the row?

*a) 11th*

*b) 10th**c) 30th**d) Data Inadequate**e) None*

__Solution__* →Since Q is 14th from left; there is no chance for M to be left of Q.*

*→M’s position from the left end = 14 + 16 + 1** = 31st** →M’s position from the right end = Total no of children + 1 – M’s position from the left end** = 40 + 1 – 31** = 10th** *

Q8) Three persons A, B and C are standing in a queue. There are 5 people between A and B and 8 people between B and C. If there are three people ahead of C and 21 people behind A, then what could be the minimum number of persons in the queue?

*a) 27*

*b) 28*

*c)40*

*d) 41*__Solution__*→As per the given conditions, there are two possible arrangements as shown below:*

*→The number of people in the queue = 21 + 1 + 5 +1 +8 + 3 =39*

*→The number of people in the queue = 3 + 1 +2 + 1 + 21 = 28** Clearly, for minimum number of people, we should consider Case-2.** *

Q9) In a row of children facing North, Sheila is shifted to her right by four places becomes 18th from the right end of the row. Sahil, who is 15th from the left end of the row, is 5th to the left of Sheila. How many children are there in the row?

*a) 42*

*b) 38**c) 41**d) 39**e) None of these*__Solution__*→After shifting the position of Sheila, her position is 18th from the right end. So, initially, Sheila was 15th from the right end. Saahil is 5th to the left of Sheila.*

*→Total number of children in a row = 15 + 15 + 4** = 34** *

Q10) In a row of boys facing North, Rinku is 10th to the left to Pink who is 21st from the right end. If Miku who is 17th from the left end, is 4th to the right of Rinku, then how many boys are there in the row?

*a) Data inadequate*

*b) 44**c) 37*

*d)43*

*e) None*__Solution__*Given,**→Pink is 21st from the right end and Rinku is 10th to the left of Pink**→So, Rinku is 31st (i.e., 21 + 10 ) from the right end.**→Miku is 17th from the left end and 4th to the right of Rinku.**→So, Rinku’s position from the left end with respect to Miku = 14th**→Total number of boys = Position of Rinku from R.H.S + Position of Rinku from L.H.S – 1**= 31 + 14 – 1**= 43***Q11) Unita is 11th from either end of a row of girls. How many girls are there in that row?***a) 19**b) 20**c) 21**d) 22**e) 24*__Solution__*→Total number of girls in row = Position of Unita from L.H.S + Position of Unita from R.H.S – 1**= 11 + 11 -1**= 21*

*Comparison Based Problems*

*Similar to the above problems, in this set of questions- we are required to find the position of a person/thing in comparison with the position of the remaining persons/things.** These types of questions are mostly asked in the form of puzzles.** *

Q12) Raja walks slower than Raghu and Raghu walk as fast as Guru and Krishna walk faster than Guru. Who walks the fastest?

*a) Raghu*

*b) Raja**c) Krishna**d) Both Raghu and Guru*__Solution__

**(Q13-Q14)*** Among A, B, C and D, B is heavier than A and C but C is taller than him. D is not as tall as C while A is shortest. C is not as heavy as A. D is not as tall as C while A is shortest. C is not as heavy as A. D is heavier than B but shorter than him.*

**Q13) Who is the heaviest?***a) B*

*b) A**c) D**d) C**e) Cannot be determined*

**Q14) Who is the tallest? *** a) D*

*b) C**c) Either A or D**d) B**e) Cannot be determined*__Solution__**Q15) P, Q, R and S are four males. P is the eldest in the group but he is not the poorest. R is the richest but not the eldest, Q is elder than S but he is not the eldest, Q is elder than S. How can the four persons be arranged in descending order of their age and money?***a) PQRS, RPSQ**b) PRQS, RSPQ**c) PRQS, RSQP**d) PRSQ, RSPQ**e) None of these*__Solution__

**(Q16-Q18)*** Five people I, J, K, L and M type at different speeds. I type faster than L but slower than J. M types slower than L but is not the slowest. The one who types the second fastest, types at a speed of 75 words/minute. The one who types the second slowest types at the speed of 50 words/minute.*

**Q16) How many people type slower than I?*** a) 4*

*b) 1**c) 2**d) 3**e) None of these*

**Q17) On the given information, which of the following statements is true?*** a) J types the fastest** b) K types faster than L** c) No statement is true** d) I type at a speed of 50 words/minutes** e) M types faster than only two persons*

**Q18) Which of the following can be L’s speed?*** a) 77 words/minute** b) 60 words/minute** c) 30 words/minute** d) 45 words/minute** e) 85 words/minute** Solution*

**(Q19-Q21)*** Among five persons – P, Q, R, S and T, each has different height. Only two persons are shorter than S. T is shorter than S but taller than R. The one who is the second tallest among them is of 158 cm.*

**Q19) Which of the following statement is definitely true with respect to the given information?*** a) R is definitely 150cm** b) P is possibly 153cm** c) T is shorter than S** d) Q is shorter than S** e) None of the above*

**Q20) Which of the following is the height of Q?*** a) 148cm** b) 156cm** c) 152cm** d) 150cm** e) 158cm*

**Q21)How many persons are shorter than Q?*** a) 2*

*b) 3**c) 4**d) Cannot be determined**e) 1*__Solution__

*→The height of Q will be greater than or equal to 158cm*

*Practice Problem On Order & Ranking*

**If Anil finds that he is fourteenth from the left end and 7 from the right end, then how many boys must be added to the line such that there are 30 boys in the line?***a) 8**b) 10**c) 12**d) 14**e) None of these***In a class of 90 students, numbers of boys are twice the number of girls. Rani is 58**^{th}from the left end and there are 20 boys to the right of Rani, then the number of girls to the left of Rani?*a) 15**b) 16**c) 17**d) 19**e) None of these***In a row of 50 students, A is fourteenth from the left end and B is tenth from the right end. How many students are there in between A and C if C is eight to the left of B?***a) 14**b) 16**c) 18**d) 20**e) None of these***A number of students are standing in a row facing north is such a way that a particular student is nineteenth from both the ends. So find the number of students in the class.***a) 36**b) 37**c) 38**d) 39**e) None of these***In a row of 25 girls, when Neha was shifted by four places towards the left, she become 10**^{th}from the left end. What was her earlier position from the right end of the row?*a) 10*^{th}*b) 11*^{th}*c) 12*^{th}*d) 13*^{th}*e) None of these***In a queue, P is seventeenth from the front while Q is nineteenth form the last. If R is twenty forth from the front and is exactly in the middle of P and Q. Then find the number of people in the queue.***a) 47**b) 48**c) 49**d) 50**e) None of these***If A ranks seventh in the class. B is tenth from the last. If P is fifth after A and just in the middle of A and B, then how many students are there in the class?***a) 26**b) 28**c) 24**d) 30**e) None of these***In a row facing north, A is tenth to the left of B, who is 19**^{th}from the right end. If C who is 16^{th}from the left end, is fourth to the right of A, how many girls are there in the row?*a) 38**b) 40**c) 42**d) 44**e) None of these***A is eight from the left end and B is sixteenth from the right end. C who is fourth to the right of A is sixth to the left of B. Find the total number of people in the row.***a) 31**b) 32**c) 33**d) 34**e) None of these***In a row of 40 boys, when Rajesh was shifted to his left by 4 places his number from the left end of the row becomes 10. What was the number of Suresh from the right end of the row if Suresh was three places to the right of Rajesh’s original position?***a) 23**b) 25**c) 26**d) 27**d) 21**e) None of these*

**In a row of 20 girls, Shruti is sitting 5th from left end of the row and is also sitting 10th to left of Kareena. Pankhuri is sitting 8th from the right end of row. How many girls are sitting between Pankhuri and Kareena?***A) None**B) 1**C) 5**D) 3**E) 6***In a class of 45 students, Veena is placed at 31th position from the bottom and Kashish is 4 places above Veena. If Surbhi is 5 places above Kashish, then what is the rank of Surbhi in the class?***A) 3**B) 5**C) 6**D) 7**E) None of these***Rita is sitting 5th from the left end of row and Sita is 11th to right of Rita with Tina being 4th to left of Sita. Madhuri is 8th to right of Tina. What is the total number of students in the row if Madhuri is sitting at the extreme end?***A) 12**B) 20**C) 28**D) 23**E) 33***Karuna is sitting 25th from the left end and Preeti is sitting 26th from the right end. Preeti is at 20th to the left of Karuna. What is the total number of students sitting in the row?***A) 28**B) 30**C) 21**D) 32**E) 26***In a class of 20 students, Shreya is 5 from the top and Annie is 7 ranks below Shreya. Find Annie’s rank from bottom.***A) 3**B) 5**C) 6**D) 9**E) None of these***In a row of 30 children, A is 11th from the right end of row. If there are 4 children between A and B, What is the position of B from the left end of row?***A) 4**B) 6**C) 5**D) 8**E) Cannot be determined***Prerna is 5th from the left end and Charu is 4th from the right of row. Charu interchanges her position with the one who is sitting 3rd to the right of Prerna and now Charu is 10th from the right end. How many children are there in the row?***A) 17**B) 18**C) 20**D) 15**E) 16***Garima interchanges her position with the one who is 3 places away from Garima. Now Chinu is 5th to right of Garima and is 3rd from the right of the row. What is the position of Garima from the right end of row?***A) 9**B) 8**C) 10**D) 7**E) Data inadequate***Shikha is 10th from the top in a class with Ruhani being 16th from the bottom. If there are 5 students between Shikha and Ruhani, how many total students are there in the class when no two students share the same rank?***A) 30**B) 31**C) 35**D) Data inadequate**E) None of these***Ranveer is 5th from left end of row and Ranbir is 6th from right of row. If they interchange their positions, Ranbir becomes 16th from the right end. What is the total number of people in the row?***A) 21**B) 22**C) 20**D) 24**E) Data inadequate*

**A is shorter than B but taller than C. D is taller than A. E is shorter than C. Who amongst the following is the tallest?***a) A**b) B**c) D**d) Either B or D**e) None of these***In a row of 30 children, Mahesh is 12th from the left end. Rakesh a friend of Mahesh is 3 to the left of Mahesh. Find the position of rakesh from the left end.***a) 8th**b) 9th**c) 10th**d) 5th**e) None of these***A is fifteenth from the left end and B is eight from the right end. If there are 4 boys between them and B is to the right of A then the total number of student sitting in the row.***a) 26**b) 27**c) 28**d) 29**e) None of these***P is fifteenth from the left end in a row of boys and Q is eighteenth from the right end. If R is tenth from P towards the right end and fourth from Q towards right end. How many boys are there in the row?***a) 35**b) 36**c) 38**d) 40**e) None of these***Akash is 5 ranks above sumit in a class of 30. If sumit rank is 15th from the last. What is akash rank from the start?***a) 10**b) 11**c) 12**d) 13**e) None of these***In a row of girls facing north, A is fourteenth from the left and B is seventeenth from the right. C who is third to the right of A is also sixth to the left of B in the row. How many girls are there in the****row?***a) 36**b) 37**c) 38**d) 39**e) None of these***In a group of 6 students P, Q, R, S, T and U each one having different height. P is taller than T but not as tall as U. Q and U are not the tallest and also R is the shortest. Who is the tallest among them?***a) P**b) S**c) Q**d) U**e) None of these***There are 40 students in the class. Priya ranks 6th in the class among the girls and pankaj ranks 5th among the boys in the class. Priya is 2 ranks below pankaj in the class. Find the rank of pankaj in the class.***a) 8**b) 9**c) 10**d) 11**e) None of these***In a rows of students, P is 12th from the left end and Q is 16th from the right end. If they interchange their position then Q becomes 23rd from the right end. Find the number of students in the row.***a) 32**b) 33**c) 34**d) 35**e) None of these***If amit finds that it is seventeenth from the right and eighteenth from the left in line facing north. How many persons should be added to the line such that there are 40 people in the line.***a) 5**b) 6**c) 8**d) 9**e) None of these*

**In a row of girls facing north, neha is 9**^{th}to the left of niharika, who is 19^{th}from the right end. If nisha who is 15^{th}from the left end is 3^{rd}to the right of neha, how many girls are there in the row?*a) 34**b) 37**c) 39**d) 41**e) None of these***In a class of 75 students, the number of girls are twice the number of boys, Pankaj ranked 19**^{th}from the top. If there are 10 girls ahead of pankaj, then the number of boys after him in rank.*a) 15**b) 16**c) 17**d) 18**e) None of these***Sumit is 8**^{th}rank ahead of ravi in a class of 45. If ravi rank from bottom is 19^{th}then find the rank of sumit from beginning?*a) 17**b) 18**c) 19**d) 20**e) None of these***In a row of students facing north A is fifteenth from the left end and B is seventh from the right end. If they interchange their positions, B would be 17**^{th}from the right end. Find the number of students in the row.*a) 30**b) 31**c) 32**d) 33**e) None of these***In a row of 21 boys when akash is shifted four places to the right, he becomes 12**^{th}from the left end. What was akash earlier position from the right end*a) 10**b) 11**c) 13**d) 14**e) None of these***A number of students are standing in a row facing north is such a way that a particular student is nineteenth from both the ends. So find the number of students in the class.***a) 36**b) 37**c) 38**d) 39**e) None of these***Prakash is 10 ranks above Nikhil who ranks 26**^{th}in the class of 45. What is prakash rank in the class from the beginning?*a) 14**b) 15**c) 16**d) 17**e) None of these***In a queue, P is seventeenth from the front while Q is nineteenth form the last. If R is twenty forth from the front and is exactly in the middle of P and Q. Then find the number of people in the queue.***a) 47**b) 48**c) 49**d) 50**e) None of these***If arun finds that it is seventeenth from the right and eighteenth from the left in line facing north. How many persons should be added to the line such that there are 50 people in the line.***a) 15**b) 16**c) 18**d) 21**e) None of these***A is eight from the left end and B is sixteenth from the left end. C who is fourth to the right of A is sixth to the left of B. Find the total number of people in the row.***a) 31**b) 32**c) 33**d) 34**e) None of these*

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