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
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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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