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

Ranking questions in IBPS PO, SBI POand SSC CGL 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.

###
**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.

###
**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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