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 students who passed in Commerce from City-F is 3240, then the number of students who passed from City-F is ________% of the number of Science students who passed from City-F.
- A.
75
- B.
150
- C.
180
- D.
225
Show answer & explanation
Correct answer: D
From the table, for City-F, the ratio of Arts : Science : Commerce is 2:4:3. Given that Commerce students = 3240, which corresponds to 3 parts, each part equals 3240 / 3 = 1080. Total students passed from City-F is (2+4+3) = 9 parts, so 9 * 1080 = 9720. Science students passed from City-F is 4 parts, so 4 * 1080 = 4320. The required percentage is (Total / Science) * 100 = (9720 / 4320) * 100 = 225%.