Table-1 below shows the percentage (%) distribution of candidates who…
2023
Table-1 below shows the percentage (%) distribution of candidates who qualified in a competitive examination from six different states A-F during the two years 2021 and 2022, along with the ratio of Males to females among them and Table-2 shows the total number of candidates who appeared and percentage (%) of candidates who qualified from all the six states A-F in same two years. Based on the data in the tables, answer the questions that follow:
Table - 1: State-wise Details of Qualified Candidates in 2021 and 2022.
State | 2021 Qualified (%) | 2021 Male : Female | 2022 Qualified (%) | 2022 Male : Female |
|---|---|---|---|---|
A | 18% | 5:4 | 20% | 28:17 |
B | 16% | 3:1 | 12% | 5:3 |
C | 12% | 7:5 | 16% | 11:5 |
D | 16% | 13:11 | 15% | 15:11 |
E | 25% | 13:12 | 22% | 15:5 |
F | 13% | 8:1 | 15% | 11:9 |
Table - 2: Year-wise Details of Appeared and Qualified (%) Candidates
Year | Total Appeared from states A-F | Percentage (%) Qualified from States A-F |
|---|---|---|
2021 | 142000 | 45% |
2022 | 180000 | 52% |
In the year 2021, the number of female candidates who qualified is more than 5000 in exactly ______ states.
Answer: D. two — ConceptWhen a table gives a percentage distribution of qualified candidates, first compute the total qualified population for the required year. For a…
- A.
five
- B.
four
- C.
three
- D.
two
Show answer & explanation
Correct answer: D
Concept
When a table gives a percentage distribution of qualified candidates, first compute the total qualified population for the required year.
For a male:female ratio m:f, the female share is f/(m+f). Apply that share only after finding each state’s qualified total.
Application
Total qualified candidates in 2021 = 142,000 × 45/100 = 63,900.
State A: 63,900 × 18/100 = 11,502 qualified; females = 11,502 × 4/9 = 5,112.
State B: 63,900 × 16/100 = 10,224 qualified; females = 10,224 × 1/4 = 2,556.
State C: 63,900 × 12/100 = 7,668 qualified; females = 7,668 × 5/12 = 3,195.
State D: 63,900 × 16/100 = 10,224 qualified; females = 10,224 × 11/24 = 4,686.
State E: 63,900 × 25/100 = 15,975 qualified; females = 15,975 × 12/25 = 7,668.
State F: 63,900 × 13/100 = 8,307 qualified; females = 8,307 × 1/9 = 923.
Cross-check
In ascending order, the female counts are 923, 2,556, 3,195, 4,686, 5,112, and 7,668. Only 5,112 and 7,668 exceed 5,000, so exactly two states meet the condition.