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Question : Among 132 examinees of a certain school, the ratio of successful to unsuccessful students is 9 : 2. Had 4 more students passed, then the ratio of successful to unsuccessful students would have been:

Option 1: 14 : 3

Option 2: 14 : 5

Option 3: 28 : 3

Option 4: 28 : 5


Team Careers360 20th Jan, 2024
Answer (1)
Team Careers360 24th Jan, 2024

Correct Answer: 28 : 5


Solution : Given: Total examinees = 132
Number of pass students = $\frac{9}{11}$ × 132 = 108
Number of fail students = 132 – 108 = 24
If 4 more students pass, the number of pass students = 108 + 4 = 112
The number of fail students now = 24 – 4 = 20
The new ratio of pass and fail students = 112 : 20 = 28 : 5
Hence, the correct answer is 28 : 5.

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