Question : Study the following table and answer the question that follows. A school has four sections A, B, C, and D of Class IX students. The results of the Science and Mathematics examinations are shown in the following table.
| Result | No.of students | |||
|
Section A |
Section B | Section C | Section D | |
| Failed in both | 24 | 25 | 18 | 20 |
| Failed in Science but passed in Mathematics | 14 | 12 | 10 | 15 |
| Passed in Science but failed in Mathematics | 7 | 6 | 8 | 10 |
| Passed in Both | 63 | 60 | 56 | 55 |
What is the ratio of the number of students who failed in Science but passed in Mathematics of section B and section D together to the number of students of section A that passed in both subjects?
Option 1: 9 : 17
Option 2: 3 : 7
Option 3: 4 : 9
Option 4: 5 : 11
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Correct Answer: 3 : 7
Solution :
Number of students who failed in Science but passed in Mathematics of section B and section D together = 12 + 15 = 27
Number of students in section A passed in both subjects = 63
Ratio = 27 : 63 = 3 : 7
Hence, the correct answer is 3 : 7.
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