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 females who passed in Arts from City-C is 768, then the number of males who passed in Commerce from City-C is approximately ________% of the total number of students who passed from City-C.
- A.
14.76
- B.
18.24
- C.
27.8
- D.
32.5
Attempted by 1 students.
Show answer & explanation
Correct answer: A
Step 1: Calculate Total Arts Students in City-C. The M:F ratio is 34:16 (Total 50 parts). Given Females = 768, Total Arts = 768 * (50/16) = 2400.
Step 2: Calculate Total Commerce and City-C Students. Arts:Commerce ratio is 1:2, so Commerce = 2400 * 2 = 4800. Total City-C (1:4:2) = 2400 * 7 = 16800.
Step 3: Calculate Males in Commerce. M:F ratio is 31:29 (Total 60 parts). Males = 4800 * (31/60) = 2480. Final Percentage = (2480 / 16800) * 100 ≈ 14.76%.