arrow
arrow
arrow
The average age of boys in a school with 560 students is 12 years and that of girls is 11 years. If the average age of a school is 11 years 9 months,
Question

The average age of boys in a school with 560 students is 12 years and that of girls is 11 years. If the average age of a school is 11 years 9 months, then what will be the number of girls in the school?

A.

120

B.

150

C.

100

D.

140

Correct option is D

Given
Total students = 560
Average age of boys = 12 years
Average age of girls = 11 years
Average age of school = 11 years 9 months = 11.75 years

Concept Used
Mixture and Allegation

Solution
Ratio of Boys : Girls = (Mean - Girls Avg) : (Boys Avg - Mean)
Ratio = (11.75 - 11) : (12 - 11.75)
Ratio = 0.75 : 0.25
Ratio = 3 : 1
Total parts = 3 + 1 = 4
Number of girls = 14×560\frac{1}{4} \times 560​​
Number of girls = 140

Final Answer
So the correct answer is (d)

Free Tests

Free
Must Attempt

Unit & Measurement - 1

languageIcon English
  • pdpQsnIcon10 Questions
  • pdpsheetsIcon10 Marks
  • timerIcon5 Mins
languageIcon English
Free
Must Attempt

States of Matter

languageIcon English
  • pdpQsnIcon10 Questions
  • pdpsheetsIcon10 Marks
  • timerIcon5 Mins
languageIcon English
Free
Must Attempt

Classification of Plants

languageIcon English
  • pdpQsnIcon10 Questions
  • pdpsheetsIcon10 Marks
  • timerIcon5 Mins
languageIcon English

Similar Questions

test-prime-package

Access ‘UP Police Sub Inspector’ Mock Tests with

  • 60000+ Mocks and Previous Year Papers
  • Unlimited Re-Attempts
  • Personalised Report Card
  • 500% Refund on Final Selection
  • Largest Community
students-icon
353k+ students have already unlocked exclusive benefits with Test Prime!
Our Plans
Monthsup-arrow