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**Reasoning Questions on Ranking, also known as Ordering, are asked in all competitive exams especially IBPS PO Exam. Let’s start with discussing the basic the concepts and basic ranking questions in this blog.**

Ranking questions in IBPS PO Exam need you to arrange commodities or people in an ascending or descending order based on their age, weight, height etc. These reasoning questions can often be very confusing and time taking, sometimes so much so that some of you might end up leaving ranking questions even after investing sometime on them in such competitive exams. So in this series on Ranking Questions we will start discussing the basics needed to solve such reasoning questions and then move to ranking questions of higher order.

In the first blog post on reasoning questions we will discuss the two formulas that will simplify reasoning questions for you.

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**Set I – Ranking Questions where you Find the Number of People in a Row and the Position of One Person from Both the Ends is Known**

One of the ways, in which ranking questions are framed, is where you have to find out the total number of people in a row and the only data you are given for such reasoning questions is the position of one person from both the ends.

In a row of people, if the position of a particular person is ‘r’ from the right end and ‘l’ from the left end, then the total number of people in the row is-

Similarly in ranking questions, where a group of people have been ranked in an order and you know the rank of one person from the top and the bottom, then you can find the number of people in the group using the above formula.

**Problem 1**

**:**Rahul ranked 9

^{th}from the top and 38

^{th}from the bottom in a class. What is the total number of students in the class?

**Solution 1:**

From the concept discussed above, you know that ranking questions that need you to find the total number of people in a group can be solved by use of the formula-

Substituting values in the above formula we get-

Total No. of Students in the Class = 9 + 38 – 1 = 46

Therefore, the total number of students in the class is 46.

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**Set II – Ranking Questions where you Find the Position of a Person from one End and the Position of the Person from other End is Known**

Another way in which ranking questions are asked in competitive exams like IBPS PO, SBI PO and SSC CGL, is where you have to find the position the person from one end of the order and the position from the other end is already given. This can again be done by the use of a simple formula-

In a row or queue where total people are‘t’, if the position of a particular person is ‘p’ from one of the end, then his position from the other end will be-

**Problem 1**

**:**In a class of 36 students, Ravi’s rank from the top is 12. Radhika ranks 3 places over Ravi. What is Radhika’s rank from the bottom?

**Solution 1:**

In this question we can find Radhika’s rank from the bottom only if we know her rank from the top, so let’s first find Radhika’s rank from the top-

Rank from Top = 12 – 3 = 9

So, Radhika’s rank from the top is 5, knowing this we can use the formula to get the answer-

Substituting values in the above formula, we get-

Radhika’s rank from the bottom = 36 – 9 + 1 = 28

So Radhika’s rank from the bottom is 28.

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**Set III – Ranking Questions where you Find the Position of a Person when Positions of Two Different People from Two Ends is Known**

One of the most popular ranking questions asked in competitive exams like IBPS PO, SBI PO and SSC CGL, is where you have to find the position of a person in a row and for reference you are given the positions of two different people from two ends.

In a row of people, if the positions of A and B from the left end and the right end are ‘l’ and ‘r’ respectively, and there are ‘n’ people between A and B, then the total number of people in that row can be given in two ways, let’s see both of them-

**Possibility 1: A is closer to Left Hand Side and B is closer to Right Hand Side**

Let us consider the two ends and the position of A and B, the position of A from the left end is ‘l’, the position the B from the right end is ‘R’ and the difference of positions between A and B is ‘n’.

Based on this information we can say that-

Total number of people in the row = l + n + r

**Possibility 2: A is closer to Right Hand Side and B is closer to Left Hand Side**

Let us once again consider the two ends and the position of A and B, the position of A from the left end is ‘l’, the position the B from the right end is ‘R’ and the difference of positions between A and B is ‘n’. However, the diagram will be slightly different this time because we reverse the position of A and B in the row.

In this case, A is closer to the right hand and B is closer to the left hand.

Based on this information we can say that-

Now when we find the total number of people in the row we add ‘l’ and ‘r’, but if you look carefully at the diagram, you will realize that ‘n’, which is the number of ranks between A and B, also A and B have been counted twice, so to justify these the formula will be-

Total number of people in the row = l + r – n – 2 = l + r – (n +2)

Now since we have 2 possibilities in such cases, you must be wondering what will be the correct answer in such ranking questions. The way to approach to solve such ranking questions is to get your answer by both the formulas and then based on the options choose your correct answer.

**Problem 1**

**:**P is 14

^{th}from the left and Q is 7

^{th}from the right end in a row of boys. What is the total number of boys in the row if there are 4 boys between P and Q?

1) 25 2) 23 3) 21 4) 19 5) 20

**Solution 1:**

Based on the discussion above about such reasoning questions, we know there are two possibilities, so we can simply substitute the values in the formulas-

**Possibility 1:**

Substituting values we get-

Total Number of People in the Row= 14 + 7 + 4 = 25

**Possibility 2:**

Substituting values we get-

Total Number of People in the Row= 14 + 7 – (4 + 2) = 15

Now we have 2 possible options for the given question- 25 and 15

Like mentioned before, in such reasoning questions we look at the given options and arrive at the correct answer. 15 in not in the given options while 25 is there.

Therefore, the correct answer is Option 1- 15

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**Ranking Questions for Practice**

Question 1: Rahul ranked ninth from the top and thirty eighth from the bottom in a class. How many students are there in the class?

1) 45 2) 46 3) 47 4) 48 5) None of these

Question 2: In a class of 40 children, Sunetra’s rank is eight from the top. Sujit is five ranks below Sunetra. What is Sujit’s rank from the bottom?

1) 27 2) 29 3) 28 4) 26 5) None of these

Question 3: In a row of boys, A is fifteenth from the left and B is fourth from the right. There are three boys between A and B. How many boys are there in the row?

1) 9 2) 10 3) 14 4) 22 5) 18

Do leave your answers in the comment section.

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