The Ministry of Home Affairs is analysing crimes committed by foreigners in different states and union territories (UT) of India. All cases refer to the ones registered against foreigners in 2016.
The number of cases – classified into three categories: IPC crimes, SLL crimes and other crimes – for nine states/UTs are shown in the figure below. These nine belong to the top ten states/UTs in terms of the total number of cases registered. The remaining state (among top ten) is West Bengal, where all the 520 cases registered were SLL crimes.
The table below shows the ranks of the ten states/UTs mentioned above among ALL states/UTs of India in terms of the number of cases registered in each of the three category of crimes. A state/UT is given rank r for a category of crimes if there are (r-1) states/UTs having a larger number of cases registered in the same category. For example, if two states have the same number of cases in a category, and exactly three other states/UTs have larger numbers of cases registered in the same category, then both the states are given rank 4 in that category. Missing ranks in the table are denoted by *.
| IPC Crimes | SLL Crimes | Other Crimes | |
|---|---|---|---|
| Delhi | * | * | * |
| Goa | * | 4 | * |
| Haryana | 8 | 6 | * |
| Karnataka | 3 | 2 | * |
| Kerala | * | 9 | * |
| Maharashtra | 3 | 4 | 8 |
| Puducherry | 13 | 29 | * |
| Tamil Nadu | 11 | 7 | * |
| Telangana | 6 | 9 | 8 |
| West Bengal | 17 | * | 16 |
Solution
Understanding the set :-
- In this set you have a graph and a table.
The graph shows three types of cases (IPC crimes, SLL crimes and other crimes) for 9 states and UTs.
While, the table shows the ranks of the ten states/UTs mentioned above among ALL states/UTs of India in terms of the number of cases registered in each of the three category of crimes.
In this set, most important thing to analyze is that,
The chart gives us the top 10 states/ UTs according to the total scores of that state / UT in all the three cases,
While the table gives us ranks of each types of cases separately.
For eg - Delhi tops the chart in total number of cases, But in term of SLL cases, there can be some other state/ UT among all the states / UTs of India who has more number of SLL crimes then Delhi.
So, lets start with the set.
| States | IPC Crimes | SLL Crimes | Other Crimes | Total Crimes |
|---|---|---|---|---|
| Telangana | 3-4 | 14-15 | 6-7 | 24-25 |
| Puducherry | 1 | 0 | 30 | 31 |
| Kerala | 7-8 | 15-16 | 10-11 | 33-34 |
| Haryana | 3-4 | 25-26 | 9-10 | 37-38 |
| Maharashtra | 15-16 | 35-36 | 5-6 | 55-56 |
| Tamilnadu | 2-3 | 25-26 | 35-36 | 62-64 |
| Goa | 25-26 | 35-36 | 18-19 | 80 |
| Karnataka | 15-16 | 48-49 | 25-26 | 91 |
| Delhi | 63-64 | 35-36 | 42-43 | 142-143 |
| West Bengal | 0 | 520 | 0 | 520 |
| State | IPC crimes | SLL crimes | OtherCrimes |
|---|---|---|---|
| Delhi | * | * | * |
| Goa | * | 4 | * |
| Haryana | 8 | 6 | * |
| Karnataka | 3 | 2 | * |
| Kerala | * | 9 | * |
| Maharashtra | 3 | 4 | 8 |
| Puducherry | 13 | 29 | * |
| Tamil Nadu | 11 | 7 | * |
| Telangana | 6 | * | 8 |
| West Bengal | 17 | * | 16 |
The first table here, is an approximate table that we can form using the chart from the set.
Also, we are given that,
The remaining state (among top ten) is West Bengal, where all the 520 cases registered were SLL crimes.
Which we can add to the table.
| States | IPC Crimes | SLL Crimes | Other Crimes | Total Crimes |
|---|---|---|---|---|
| Telangana | 3-4 | 14-15 | 6-7 | 24-25 |
| Puducherry | 1 | 0 | 30 | 31 |
| Kerala | 7-8 | 15-16 | 10-11 | 33-34 |
| Haryana | 3-4 | 25-26 | 9-10 | 37-38 |
| Maharashtra | 15-16 | 35-36 | 5-6 | 55-56 |
| Tamilnadu | 2-3 | 25-26 | 35-36 | 62-64 |
| Goa | 25-26 | 35-36 | 18-19 | 80 |
| Karnataka | 15-16 | 48-49 | 25-26 | 91 |
| Delhi | 63-64 | 35-36 | 42-43 | 142-143 |
| West Bengal | 0 | 520 | 0 | 520 |
| State | IPC crimes | SLL crimes | Other Crimes |
|---|---|---|---|
| Delhi | * | * | * |
| Goa | * | 4 | * |
| Haryana | 8 | 6 | * |
| Karnataka | 3 | 2 | * |
| Kerala | * | 9 | * |
| Maharashtra | 3 | 4 | 8 |
| Puducherry | 13 | 29 | * |
| Tamil Nadu | 11 | 7 | * |
| Telangana | 6 | * | 8 |
| West Bengal | 17 | 1 | 16 |
From the first table we can see,
West Bengal has highest number of SLL crimes among the top 10 states/ UTs.
=> It's rank in SLL crimes will be 1. (lets add this to the second table)
| States | IPC Crimes | SLL Crimes | Other Crimes | Total Crimes |
|---|---|---|---|---|
| Telangana | 3-4 | 14-15 | 6-7 | 24-25 |
| Puducherry | 1 | 0 | 30 | 31 |
| Kerala | 7-8 | 15-16 | 10-11 | 33-34 |
| Haryana | 3-4 | 25-26 | 9-10 | 37-38 |
| Maharashtra | 15-16 | 35-36 | 5-6 | 55-56 |
| Tamilnadu | 2-3 | 25-26 | 35-36 | 62-64 |
| Goa | 25-26 | 35-36 | 18-19 | 80 |
| Karnataka | 15-16 | 48-49 | 25-26 | 91 |
| Delhi | 63-64 | 35-36 | 42-43 | 142-143 |
| West Bengal | 0 | 520 | 0 | 520 |
| State | IPC crimes | SLL crimes | Other Crimes |
|---|---|---|---|
| Delhi | 1 | * | * |
| Goa | * | 4 | * |
| Haryana | 8 | 6 | * |
| Karnataka | 3 | 2 | * |
| Kerala | * | 9 | * |
| Maharashtra | 3 | 4 | 8 |
| Puducherry | 13 | 29 | * |
| Tamil Nadu | 11 | 7 | * |
| Telangana | 6 | * | 8 |
| West Bengal | 17 | 1 | 16 |
Now, we can see that,
Delhi had the highest number of IPC crimes (around 63 or 64)
=> Delhi is rank 1 in IPC crimes.
| States | IPC Crimes | SLL Crimes | Other Crimes | Total Crimes |
|---|---|---|---|---|
| Telangana | 3-4 | 14-15 | 6-7 | 24-25 |
| Puducherry | 1 | 0 | 30 | 31 |
| Kerala | 7-8 | 15-16 | 10-11 | 33-34 |
| Haryana | 3-4 | 25-26 | 9-10 | 37-38 |
| Maharashtra | 15-16 | 35-36 | 5-6 | 55-56 |
| Tamilnadu | 2-3 | 25-26 | 35-36 | 62-64 |
| Goa | 25-26 | 35-36 | 18-19 | 80 |
| Karnataka | 15-16 | 48-49 | 25-26 | 91 |
| Delhi | 63-64 | 35-36 | 42-43 | 142-143 |
| West Bengal | 0 | 520 | 0 | 520 |
| State | IPC crimes | SLL crimes | Other Crimes |
|---|---|---|---|
| Delhi | 1 | * | * |
| Goa | 2 | 4 | * |
| Haryana | 8 | 6 | * |
| Karnataka | 3 | 2 | * |
| Kerala | * | 9 | * |
| Maharashtra | 3 | 4 | 8 |
| Puducherry | 13 | 29 | * |
| Tamil Nadu | 11 | 7 | * |
| Telangana | 6 | * | 8 |
| West Bengal | 17 | 1 | 16 |
From the table, Karnataka and Maharashtra both has rank 3 in IPC category.
=> rank 2 will be a state or UT who has scored greater then 15 or 16 in IPC category,
and we can see that Goa has a score of 25 or 26 in IPC crimes.
=> Goa is rank 2.
Now, we don't have any other information in the set, which can help us to find the exact rank of states in IPC, SLL, and other crimes separately.
So, we will solve it further using questions.
| States | IPC Crimes | SLL Crimes | Other Crimes | Total Crimes |
|---|---|---|---|---|
| Telangana | 3-4 | 14-15 | 6-7 | 24-25 |
| Puducherry | 1 | 0 | 30 | 31 |
| Kerala | 7-8 | 15-16 | 10-11 | 33-34 |
| Haryana | 3-4 | 25-26 | 9-10 | 37-38 |
| Maharashtra | 15-16 | 35-36 | 5-6 | 55-56 |
| Tamilnadu | 2-3 | 25-26 | 35-36 | 62-64 |
| Goa | 25-26 | 35-36 | 18-19 | 80 |
| Karnataka | 15-16 | 48-49 | 25-26 | 91 |
| Delhi | 63-64 | 35-36 | 42-43 | 142-143 |
| West Bengal | 0 | 520 | 0 | 520 |
| State | IPC crimes | SLL crimes | Other Crimes |
|---|---|---|---|
| Delhi | 1 | * | * |
| Goa | 2 | 4 | * |
| Haryana | 8 | 6 | * |
| Karnataka | 3 | 2 | * |
| Kerala | * | 9 | * |
| Maharashtra | 3 | 4 | 8 |
| Puducherry | 13 | 29 | * |
| Tamil Nadu | 11 | 7 | * |
| Telangana | 6 | * | 8 |
| West Bengal | 17 | 1 | 16 |
From the table it is clear that, The rank of Telangana is 6 which has less IPC crimes than Kerala,
which means the rank of Kerala can be less than or equal to 5.
Now, there are two states with 3 ranks, so there will be no rank 4,
=> there can only be rank 5 which is Kerala.