The following table presents the number of Registered and Pending criminal cases (in Thousands) relating to three (3) crimes namely Larceny. Arson and Carjacking in each year from 2015 to 2020. Based on the data in the table answer the question. Year-wise Criminal Cases (in Thousands) Crime Larceny Arson Carjacking Registered Pending Registered Pending Registered Pending 2015 21 15 55 29 15 12 2016 42 32 30 26 21 11 2017 35 20 60 39 50 15 2018 25 14 45 20 20 10 2019 65 44 60 49 40 22 2020 80 55 35 18 75 55Year
Approximately, what is the percentage of solved Carjacking cases in the year 2019 to the total number of registered cases in that year?
11%
Analyzing Criminal Case Data for Percentage Calculation
The question asks us to find the approximate percentage of solved Carjacking cases in the year 2019 compared to the total number of registered cases in that same year.
Understanding Solved Cases
From the provided data table, 'Registered' cases are those that have been formally recorded, while 'Pending' cases are those that are still unresolved. Solved cases are typically considered to be the difference between registered and pending cases for a specific crime and year.
Solved Cases = Registered Cases - Pending Cases
Extracting Data for the Year 2019
Let's identify the relevant data points from the table for the year 2019:
- Larceny: Registered = 65 (Thousands), Pending = 44 (Thousands)
- Arson: Registered = 60 (Thousands), Pending = 49 (Thousands)
- Carjacking: Registered = 40 (Thousands), Pending = 22 (Thousands)
Calculating Solved Carjacking Cases in 2019
Using the formula for solved cases:
Solved Carjacking Cases (2019) = Registered Carjacking (2019) - Pending Carjacking (2019)
Solved Carjacking Cases (2019) = 40 (Thousands) - 22 (Thousands) = 18 (Thousands)
So, there were approximately 18,000 solved Carjacking cases in 2019.
Calculating Total Registered Cases in 2019
The total number of registered cases in 2019 includes the registered cases for all three crimes: Larceny, Arson, and Carjacking.
Total Registered Cases (2019) = Registered Larceny (2019) + Registered Arson (2019) + Registered Carjacking (2019)
Total Registered Cases (2019) = 65 (Thousands) + 60 (Thousands) + 40 (Thousands) = 165 (Thousands)
So, there were approximately 165,000 total registered cases in 2019.
Calculating the Percentage of Solved Carjacking Cases
Now we can calculate the percentage of solved Carjacking cases in 2019 relative to the total registered cases in 2019 using the formula:
Percentage = $\left( \frac{\text{Solved Carjacking Cases (2019)}}{\text{Total Registered Cases (2019)}} \right) \times 100$
Plugging in the calculated values:
Percentage = $\left( \frac{18}{165} \right) \times 100$
Let's perform the calculation:
$\frac{18}{165} \approx 0.1090909...$
Percentage $\approx 0.1090909... \times 100 \approx 10.91\%$
Approximating the Percentage
The question asks for the approximate percentage. Our calculated value is approximately 10.91%, which is closest to 11%.
| Metric | Value (Thousands) |
|---|---|
| Registered Carjacking (2019) | 40 |
| Pending Carjacking (2019) | 22 |
| Solved Carjacking (2019) | 18 |
| Total Registered (2019) | 165 |
| Calculated Percentage | ~10.91% |
Comparing this to the given options, 11% is the closest approximation.
Revision Table: Key Calculations for Percentage
| Step | Calculation | Result |
|---|---|---|
| Solved Carjacking (2019) | Registered Carjacking - Pending Carjacking = 40 - 22 | 18 (Thousands) |
| Total Registered (2019) | Registered Larceny + Registered Arson + Registered Carjacking = 65 + 60 + 40 | 165 (Thousands) |
| Percentage | (Solved Carjacking / Total Registered) * 100 = (18 / 165) * 100 | ~10.91% |
Additional Information: Understanding Criminal Case Data
Analyzing criminal case data often involves understanding terms like 'registered', 'pending', and 'solved'. Registered cases represent the initial count of reported crimes. Pending cases indicate the backlog or ongoing investigations/proceedings. The difference is often used as a proxy for cases that have reached some resolution, although the definition of 'solved' can vary (e.g., arrest made, case closed). Such data helps in understanding crime rates, police efficiency, and judicial workload. Comparing these numbers year-on-year or across different crime types provides valuable insights into trends and challenges.
Important Questions from Tabulation
The table shows District-wise data of a number of primary school teachers posted in schools of a city.
Study the table and answer the question:
District
Male teachers
Female teachers
East
1650
2375
North
1075
2651
West
1280
1520
South
1170
1085
Central
690
859
What is the difference between the total number of male teachers in the districts East, North, West taken together and the total number of female teachers in the districts East and South?Table shows income (in Rs. ) received by 4 employees of a company during the month of December 2020 and all their income sources.
Source
Amit
Suresh
Nitin
Varun
Salary
35000
38500
29000
42000
Arrears
6000
6300
5000
7500
Bonus
1000
1100
1000
1240
Overtime
1800
1950
1400
1500
What is the ratio of salary of Varun to his income other than salary?Study the table and answer the question:
Income (Rs.)
No. of persons
Less than 200
12
Less than 250
26
Less than 300
34
Less than 350
40
Less than 400
50
What is the percentage of persons earning Rs. 250 or more?The following table shows the annual profit of a company (in Rs. lakh).
2014-2015
2015-2016
2016-0217
2017-2018
2018-2019
625
690
725
775
815
The period which has the maximum percentage increase in profit over the previous year is:
The table given below shows the number of persons participating in a survey from 6 different states.
States Persons S1 100 S2 200 S3 400 S4 500 S5 600 S6 800 What is the ratio of number of person participating in a survey from state S3 to the number of person participating in a survey from state S4?
