Here, we will teach you the concepts and lessons which will prove useful while solving the papers.These order and ranking question tricks are useful for SSC CGL , IBPS PO , IBPS clerk , SBI PO , SBI clerk , Specialist officer ,CAT or any other competitive exams.
Ordering and ranking is all about to find out who will stand in which position. It can be in either in row wise and also column wise. We will show you the approach to solve the questions. It is also closely related to seating and arrangement questions.
Table of content
1) Ranking questions concepts and tricks
2) Basic Ordering tricks and questions
3) Complex ordering questions
Ranking questions and tricks
Before jumping to the question lets understand what is rank –
Rank is the position of a particular thing in a queue or line.
Formula to find the rank or position of particular thing from beginning or start
Rank / Position from start = Total people – Rank/Position from last + 1
Formula to find the rank or position of particular thing from end or last
Rank / Position from End = Total people – Rank/Position from start + 1
Let us see the approach to solve a question.
Question ) Find the rank of B from left and B from right.
So here we have to find the rank/ position of B from left or start.
Now, let us solve the rank of B from left.
Anyways if we see , B stands 2nd from left.
But lets solve with formula
Now formula is –
Rank from left = Total people – Rank/position from right + 1
Just see the above picture and depict the below value
Total people – 5
Rank/Position from right – 4
Rank from left = 5 – 4 + 1 = 2
B stands 2nd from left
Now, let us solve the rank of B from right
B stands 4th from right if we see in picture
Lets’ apply the formula quickly
Rank from Right = Total people – Rank/position from Left + 1
Just see the above picture and depict the below value
Total people – 5
Rank/Position from left – 2
Rank from Right = 5 – 2 + 1 = 4
B stands 4th from right
Let us solve some more questions.
Question 1 ) Sansa ranks 19th in a class of 68 students. What is her rank from last?
Solution: If nothing is mentioned about position , we take default position that is from beginning.
So , rank from start – 19
Total People – 68
Rank / Position from last = Total people – Rank/Position from start + 1
Rank / Position from last = 68 – 19 + 1 = 50
Sansa ranks 50th from the last.
Question 2) Sam is 5 ranks ahead of John in a class of 46 students. If John’s rank is 12th from the last. What is Sam’s rank from the start?
Solution:
Sam rank from start = John rank from start – 5 [Sam is 5 ranks ahead of John] – [1]
Now find John rank from start first
John Rank from last – 12
Total People – 46
Rank / Position from start= Total people – Rank/Position from last + 1
Rank / Position from start = 46 – 12 + 1 = 35
John rank from start = 35
Sam’s rank from the start = .John rank from start – 5 = 30
Answer – Sam rank is 30th from start
Question 3 ) In a class of 90, where girls are twice of that boys, Naveen ranked 14th from the top. If there are 10 girls ahead of Naveen, how many boys are thereafter him in rank?
Solution:
Boys = 30; Girls = 60 [Girls are twice of that boys and the total stands at 90]
Naveen’s rank = 14th
Number of girls ahead of him = 10
So, no. of boys before Naveen’s rank including Naveen = 4 [ 14 – 10 = 4]
Total no. of boys = 30
Number of boys after him = 30 – 4 = 26
There are 26 boys after him in rank
Ordering tricks and questions
Question 1) Each one of 5 persons – A, B, C, D & E is of different height. B is taller than A and C. D is not as tall as E but is taller than A, who is not the shortest. Who is the shortest?
Solution:
The best way to handle this type of question is to draw it and check. Let us go through step by step.
Statement 1: B is taller than A and C
But, there is no mention between A and C. So, A and B are in a parallel line.
Statement 2: D is not as tall as E
Statement 3: D is not as tall as E but is taller than A, who is not the shortest.
The question asks who is the shortest.
If you can notice, B, E, D are taller than with at-least one person in the group.
Statement 1: B is taller than A and C
Statement 2: E is taller than D
Statement 3: D is taller than A
Statement 4 : A is not the shortest.
So, there are only two persons [A and C ] who can be the shortest.
Now, give a look at the question. It states that A, who is not the shortest. So, C must be the shortest among all.
The answer is C.
Complex Ordering question
Question 2) Four companies – W, X, Y & Z declared their results of final years. No two companies either have the same profit or the same income.
* Income of W is greater than that of X and its profit is less than that of Y.
* The income and profit of Y is greater than Z.
* The X has the third-highest income and its profit is less than of Z.
* Profit X is not as much as W.
(i) Which company has the highest income?
(ii) Which company is the second-highest in the profit?
(iii) Which company has the least income?
(iv) How many companies have more profit than x?
Solution:
First, let us concentrate on fixing the positions in Income column.
If you notice that X has been fixed already in third positions.
So, three positions are left.
Now, let us try to fix the position of Z.
Possibility 1
Step 2 says that the income of Y is greater than Z. So, if we fix Y in 1st position and Z in 2nd position then W has to come in 4th position and that will break the rule of step 1. Step 1 says income of W is greater than that of X.
Possibility 2
Step 2 says that the income of Y is greater than Z. Step 1 says that the income of W is greater than that of X. So, keeping these two conditions in the mind we can allot Z in the 4th position. If we keep Z in the 4th position then it will satisfy both the conditions. The income of Y will be greater than Z and Income W will be greater than X. But, the positions are not certain for both top two positions. So, we will block both the top two seats of income for both W and Y.
Now, let us concentrate on the profit column.
Possibility 2
Step 3 says the profit of X is less than Z. Step 4 says profit of X is not as much as W. These above statements say that X has to be in 3rd position or in the 4th position.
If we keep X in 3rd position then step 2 will be violated. Step 2 says that income and profit is greater than that of Z. So, it proves that X has the least profit.
Step 2 say that profit of Y is greater than Z. Step 3 and 4 say that the profit of W and Z is greater than X. So, the positions of W and Z can be in either of the 2nd or 3rd positions. Y will be in the first position.
Now, let us answer the questions.
(i) Which company has the highest income?
Ans: W or Y
(ii) Which company has the second-highest in the profit?
Ans: W or Z
(iii) Which company has the least income?
Ans: Z
(iv) How many companies have profit more than X?
Ans: 3
Practice some Order and ranking questions.
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