Comprehension: The following table shows the proportion of students passed in…
2024
Comprehension: The following table shows the proportion of students passed in three different Graduation Streams, namely, Arts, Science and Commerce, from seven different cities A-G, along with the ratio of Males (M) to Females (F) for the three streams among the students. Based on the data in the table, answer the questions that follow.City-wise details of Graduating students.
For City-A, if the total number of males who passed in Arts is 2480, then what is the difference between the number of students who passed in Commerce and that in Science?
- A.
600
- B.
1000
- C.
1400
- D.
1800
Attempted by 14 students.
Show answer & explanation
Correct answer: D
First, calculate the total number of students who passed in Arts for City-A.
The ratio of Males to Females is 31:14, so the total parts are 31 + 14 = 45.
Given that there are 2480 males, the total Arts students = (2480 / 31) * 45 = 3600.
Next, use the stream ratio for City-A (Arts : Science : Commerce = 2 : 4 : 5). Since Arts represents 2 parts and equals 3600 students, one part equals 1800 (3600 / 2).
Calculate the number of students in Science and Commerce. Science (4 parts) = 4 * 1800 = 7200. Commerce (5 parts) = 5 * 1800 = 9000.
Finally, find the difference between Commerce and Science students: 9000 - 7200 = 1800.