The following table shows the percentage (%) distribution of 12th class…
2023
The following table shows the percentage (%) distribution of 12th class students scoring (i) 95% and above marks, and (ii) between 90 - 95% marks, along with ratio of Girls to Boys among them from six schools A-F of Delhi. Total number of students scoring 95% and above marks and between 90 - 95% marks are 6000 and 10000, respectively. Based on the data in the table, answer the questions that follow.
School-wise Distribution of Students Based on Marks
School | Scoring 95% and above marks (6000) | Scoring between 90 - 95% marks (10000) | ||
Percentage of students | Girls : Boys | Percentage of students | Girls : Boys | |
A | 13% | 11 : 5 | 16% | 3 : 2 |
B | 18% | 5 : 7 | 6% | 1 : 4 |
C | 17% | 3 : 5 | 10% | 5 : 3 |
D | 8% | 7 : 1 | 28% | 2 : 3 |
E | 24% | 5 : 4 | 21% | 9 : 5 |
F | 20% | 5 : 3 | 19% | 3 : 4 |
Average numbers of boys who scored between 90 - 95% marks from the schools A - E together is :
- A.
746
- B.
718
- C.
745
- D.
785
Show answer & explanation
Correct answer: D
First, calculate the total students in each school A-E using 10,000 as the base for the 90-95% category. Apply the specific Girls to Boys ratios provided in the table to isolate the boy counts for each school.
Sum these individual boy counts from schools A through E. Divide the total sum by five to find the average number of boys across these schools.