Question : The ratio of the number of boys to the number of girls in a school of 432 pupils is 5 : 4. When some new boys and girls are admitted, the number of boys increases by 12 and the ratio of boys to girls changes to 7 : 6. The number of new girls admitted is:
Option 1: 12
Option 2: 14
Option 3: 24
Option 4: 20
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Correct Answer: 24
Solution : Given: The ratio of the number of boys to the number of girls in a school of 432 pupils is 5 : 4. Original number of boys in the school = $\frac{5}{9}× 432=240$ Original number of girls in the school = 432 – 240 = 192 Let the number of girls added be $x$. According to the question, $\frac{240+12}{192+x}=\frac{7}{6}$ ⇒ $\frac{252}{192+x}=\frac{7}{6}$ ⇒ $1344 + 7x = 1512$ ⇒ $7x = 168$ $\therefore x=24$ Hence, the correct answer is 24.
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Question : In a college union, there are 48 students. The ratio of the number of boys to the number of girls is 5 : 3. What is the number of girls to be added to the union so that the ratio of boys to girls is 6 : 5?
Option 1: 6
Option 2: 7
Option 3: 12
Option 4: 17
Question : The number of pupils in a class is 55. The ratio of the number of male pupils to the number of female pupils is 5 : 6. The number of female pupils is:
Option 1: 11
Option 2: 25
Option 3: 30
Option 4: 35
Question : In a school, there were 1554 students, and the ratio of boys to girls was 4 : 3. After a few days, 30 girls joined the school but a few boys left. As a result, the ratio of boys and girls became 7 : 6. The number of boys who left the school is:
Option 1: 76
Option 2: 74
Option 3: 84
Option 4: 86
Question : The arithmetic mean of the following numbers 1, 2, 2, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 7 is:
Option 1: 4
Option 2: 5
Option 3: 14
Question : The ratio of boys and girls in a school is 27 : 23. If the difference between the number of boys and girls is 200, then find the number of boys.
Option 1: 1350
Option 2: 1250
Option 3: 1300
Option 4: 1200
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