Question : In an examination, the number of students who passed and the number of students who failed were in the ratio 25 : 4. If one more student had appeared and passed and the number of failed students was 3 less than earlier, the ratio of passed students to failed students would have become 22 : 3. What is the difference between the number of students who, initially, passed the examination and the number of students who failed the examination?
Option 1: 132
Option 2: 126
Option 3: 174
Option 4: 150
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Correct Answer: 126
Solution : Let the initial number of students who passed be $25x$ and the number of students who failed be $4x$, where $x$ is a constant. If one more student had appeared and passed and the number of failed students was 3 less than earlier, the ratio of passed students to failed students would have become 22 : 3. $⇒\frac{29x + 1}{4x - 3} = \frac{25}{3}$ $⇒87x + 3 = 100x - 75$ $⇒x = 6$ Therefore, the difference between the number of students who initially passed the examination and the number of students who failed the examination is $25x - 4x= 21x=21\times6=126$. Hence, the correct answer is 126.
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Question : In an examination, 92% of the students passed and 480 students failed. If so, how many students appeared in the examination?
Option 1: 5,800
Option 2: 6,200
Option 3: 6,000
Option 4: 5,000
Question : Two numbers are, respectively, 10% and 25% more than the third number. The ratio of the two numbers is:
Option 1: 22 : 25
Option 2: 19 : 25
Option 3: 23 : 25
Option 4: 18 : 25
Question : Study the given pie charts and answer the question that follows. If the ratio of the number of boys to that of the girls who passed from Institute A is 5 : 6, and 40% of the students who passed from Institute D are boys, then the ratio of the number of boys who passed from Institute A to that of boys who passed from institute D is:
Option 1: 25 : 24
Option 2: 4 : 3
Option 3: 5 : 4
Option 4: 3 : 2
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
Question : In an examination, 35% of total students failed in Hindi, 45% failed in English and 20% failed in both. Find the percentage of those students who passed in both subjects.
Option 1: 45%
Option 2: 35%
Option 3: 20%
Option 4: 40%
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