Question : The ratio of the number of boys and girls in a school of 720 students is 7 : 5. How many more girls should be admitted to make the ratio 1 : 1?
Option 1: 90
Option 2: 120
Option 3: 220
Option 4: 240
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Correct Answer: 120
Solution : The current ratio of boys to girls in the school is 7 : 5. This means that out of every 12 students (7 boys + 5 girls), 7 are boys and 5 are girls. The number of boys and girls in the school is 720. Number of boys = $\frac{7}{12}×720 = 420$ Number of girls = $\frac{5}{12}×720 = 300$ To make the ratio of boys to girls 1 : 1, the number of girls should be equal to the number of boys. Additional girls needed = Number of boys – Number of girls = 420 – 300 = 120 Hence, the correct answer is 120.
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Question : The ratio of boys and girls in a college is 5 : 3. If 50 boys leave the college and 50 girls join the college, the ratio becomes 9 : 7. The number of boys in the college is:
Option 1: 300
Option 2: 400
Option 3: 500
Option 4: 600
Question : Directions: Study the bar diagram and answer the question. Total number of boys and girls in five different departments of a college.
The respective ratio of the number of girls from the Philosophy department to the number of girls from the Psychology department is:
Option 1: 7 : 11
Option 2: 11 : 7
Option 3: 7 : 10
Option 4: 6 : 11
Question : The pie chart given below shows the number of girls in six schools. The total number of girls in all these six schools is 5000. Number of girls in a particular school is shown as a percentage of total number of girls in all these six schools.
What is the ratio of the number of girls in school A to the number of girls in school E?
Option 1: 5 : 8
Option 2: 10 : 9
Option 3: 6 : 7
Option 4: 9 : 10
Question : If $x$ is prime number and $-1 \leq \frac{2x-7}{5} \leq 1$, then the number of values of $x$ is:
Option 1: 4
Option 2: 3
Option 3: 2
Option 4: 5
Question : The ratio of the ages of two boys is 5 : 6. After two years, the ratio will be 7 : 8. Determine the ratio of their ages after 12 years.
Option 1: $\frac{22}{24}$
Option 2: $\frac{15}{16}$
Option 3: $\frac{17}{18}$
Option 4: $\frac{11}{12}$
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