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 |
The number of males who passed in Commerce from City-F is approximately ________% more than the number of females who passed in Commerce from City-F.
- A.
31.25
- B.
47.47
- C.
45.45
- D.
42.67
Show answer & explanation
Correct answer: C
From the table, for City-F in the Commerce stream, the ratio of Males to Females is 16 : 11. To find how much more the number of males is compared to females in percentage, we use the formula: ((Males - Females) / Females) × 100. Substituting the ratio values: ((16 - 11) / 11) × 100 = (5 / 11) × 100 ≈ 45.45%. Thus, the number of males is approximately 45.45% more than the number of females.