The table below embodies data on the number of candidates who appeared (A) and passed (P) in Civil Services Examination from four cities K, L, M and N during the year 2014 to 2019. In accordance with the table, answer the question Year-wise Number of Candidates from Different Cities City → K L M N Year ↓ A P A P A P A P 2014 782 360 612 310 720 410 1020 802 2015 804 472 608 324 728 480 1135 840 2016 720 448 636 298 680 390 1084 864 2017 750 360 655 305 695 396 1096 766 2018 824 504 640 346 712 424 1180 752 2019 850 496 600 315 740 464 1165 780
For which of the following cities the percentage of candidate passed among those who appeared for the examination is minimum in the year 2019 ?
L
The question asks us to determine which city among K, L, M, and N had the minimum percentage of candidates who passed the Civil Services Examination compared to those who appeared in the year 2019. To answer this, we need to extract the relevant data for the year 2019 from the provided table and calculate the pass percentage for each city.
Let's look at the data provided in the table for the year 2019 for each city:
| City | Appeared (A) | Passed (P) |
|---|---|---|
| K | 850 | 496 |
| L | 600 | 315 |
| M | 740 | 464 |
| N | 1165 | 780 |
The pass percentage for a city is calculated using the formula:
$$\text{Pass Percentage} = \left( \frac{\text{Number of Candidates Passed}}{\text{Number of Candidates Appeared}} \right) \times 100$$
Let's calculate the pass percentage for each city for the year 2019:
For City K, Appeared = 850, Passed = 496.
$$\text{Pass Percentage (K)} = \left( \frac{496}{850} \right) \times 100$$ $$\text{Pass Percentage (K)} \approx 0.5835 \times 100 \approx 58.35\%$$
For City L, Appeared = 600, Passed = 315.
$$\text{Pass Percentage (L)} = \left( \frac{315}{600} \right) \times 100$$ $$\text{Pass Percentage (L)} = 0.525 \times 100 = 52.5\%$$
For City M, Appeared = 740, Passed = 464.
$$\text{Pass Percentage (M)} = \left( \frac{464}{740} \right) \times 100$$ $$\text{Pass Percentage (M)} \approx 0.6270 \times 100 \approx 62.70\%$$
For City N, Appeared = 1165, Passed = 780.
$$\text{Pass Percentage (N)} = \left( \frac{780}{1165} \right) \times 100$$ $$\text{Pass Percentage (N)} \approx 0.6695 \times 100 \approx 66.95\%$$
Now, let's list the calculated pass percentages for each city in 2019:
Comparing these values, we can see the percentages are: 58.35% (K), 52.5% (L), 62.70% (M), 66.95% (N).
The minimum percentage among these is 52.5%, which corresponds to City L.
Therefore, the percentage of candidates passed among those who appeared for the examination is minimum in the year 2019 for City L.
| City | Pass Percentage (2019) |
|---|---|
| K | $\approx 58.35\%$ |
| L | $52.5\%$ |
| M | $\approx 62.70\%$ |
| N | $\approx 66.95\%$ |
This table clearly shows that City L has the lowest pass percentage in 2019.
Percentages are frequently used in data analysis to compare proportions across different groups or categories. A percentage expresses a quantity as a fraction of 100. In this context, calculating the pass percentage helps us understand the success rate of candidates in each city relative to the number who attempted the exam, providing a standardized measure for comparison. A lower pass percentage indicates that a smaller proportion of appeared candidates successfully passed the exam in that particular city and year.
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 |
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 |
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 |
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?