The following table shows the ratio of students who passed in three graduate…
2024
The following table shows the ratio of students who passed in three graduate streams—Arts, Science, and Commerce—from seven different cities (A-G), and the ratio of Males (M) to Females (F) among the students for these three streams. Answer the question based on the data provided in the table.
Table: City-wise Distribution of Passed Students
City | Arts : Science : Commerce | Arts (M : F) | Science (M : F) | Commerce (M : F) |
A | 2 : 4 : 5 | 31 : 14 | 23 : 27 | 11 : 7 |
B | 7 : 2 : 4 | 37 : 33 | 43 : 32 | 29 : 21 |
C | 1 : 4 : 2 | 34 : 16 | 57 : 43 | 31 : 29 |
D | 5 : 7 : 4 | 17 : 13 | 51 : 33 | 23 : 17 |
E | 4 : 3 : 8 | 23 : 17 | 41 : 34 | 57 : 23 |
F | 2 : 4 : 3 | 47 : 28 | 11 : 7 | 16 : 11 |
G | 3 : 5 : 4 | 29 : 21 | 27 : 24 | 53 : 47 |
If the number of males who passed in Commerce from City-G is 2544, then what is the number of students who passed in Arts from City-G?
- A.
3600
- B.
4200
- C.
4800
- D.
3400
Show answer & explanation
Correct answer: A
From the table, for City-G, the ratio of Males to Females in Commerce is 53:47.
Given the number of males is 2544, one part equals 2544 / 53 = 48.
Total Commerce students = (53 + 47) * 48 = 100 * 48 = 4800.
The ratio of Arts to Commerce students in City-G is 3:4.
Total Arts students = (3/4) * 4800 = 3600.