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In a school with 600 students, the average of the boys is 12 years and that of girls is 11 years. If the average age of the school is 11 years and 9 months, then the numbers of girls in the school is
  • a)
    450
  • b)
    250
  • c)
    150
  • d)
    350
Correct answer is option 'C'. Can you explain this answer?
Verified Answer
In a school with 600 students, the average of the boys is 12 years and...
Average age of school is 11 years, 9 months
Average age of boys 12 years.
Average age of girls is 11 years.
Now, 
Take difference to find out ratio:
(12 years  -11 years + 9months) : (11 years  - 11 years + 9 months))
3 months : 9 months
Therefore,
Boys : Girls
9 : 3  = 3 : 1

Therefore, Number of girls = 1/4 x 600 = 150
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Most Upvoted Answer
In a school with 600 students, the average of the boys is 12 years and...
Given information:
- Total number of students in the school = 600
- Average age of boys = 12 years
- Average age of girls = 11 years
- Average age of the school = 11 years and 9 months

To find: Number of girls in the school

Solution:
1. Let's assume the number of boys in the school = B and the number of girls in the school = G
2. We know that the average age of the school is 11 years and 9 months, which can be written as 11.75 years.
3. Using the formula for the average age of the school, we can write:
Total age of all students = Average age of the school * Total number of students
(Total age of boys + Total age of girls) = 11.75 * 600
(B * 12 + G * 11) = 7050

4. We can also write an equation for the number of boys and girls in the school:
B + G = 600

5. Now we have two equations and two variables. We can solve for B and G by substituting one equation into the other:
12B + 11G = 7050
B = 600 - G

6. Substitute the value of B in the first equation:
12(600 - G) + 11G = 7050
7200 - 12G + 11G = 7050
G = 150

Therefore, the number of girls in the school is 150.

Answer: Option C (150)
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In a school with 600 students, the average of the boys is 12 years and that of girls is 11 years. If the average age of the school is 11 years and 9 months, then the numbers of girls in the school isa)450b)250c)150d)350Correct answer is option 'C'. Can you explain this answer?
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In a school with 600 students, the average of the boys is 12 years and that of girls is 11 years. If the average age of the school is 11 years and 9 months, then the numbers of girls in the school isa)450b)250c)150d)350Correct answer is option 'C'. Can you explain this answer? for Railways 2024 is part of Railways preparation. The Question and answers have been prepared according to the Railways exam syllabus. Information about In a school with 600 students, the average of the boys is 12 years and that of girls is 11 years. If the average age of the school is 11 years and 9 months, then the numbers of girls in the school isa)450b)250c)150d)350Correct answer is option 'C'. Can you explain this answer? covers all topics & solutions for Railways 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for In a school with 600 students, the average of the boys is 12 years and that of girls is 11 years. If the average age of the school is 11 years and 9 months, then the numbers of girls in the school isa)450b)250c)150d)350Correct answer is option 'C'. Can you explain this answer?.
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