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 |
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
Show answer & explanation
Correct answer: D
For City-A, the ratio of passed students in Arts : Science : Commerce is 2 : 4 : 5. Let the common multiplier be x, so Arts = 2x, Science = 4x, Commerce = 5x. The Male to Female ratio for Arts is 31 : 14, meaning males are 31/45 of total Arts students. Given 2480 males, Total Arts = 2480 * (45/31) = 3600. Since Arts = 2x, 2x = 3600, so x = 1800. Science students = 4x = 7200, and Commerce students = 5x = 9000. The difference between Commerce and Science is 9000 - 7200 = 1800.