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 A school has 4 sections of class 12, such that half the number of students of 1st section, 1/3rd of 2nd section, 1/4th of 3rd section and 1/5th of the 4th section are equal. If total number of students in class 12 is 420, find the number of students in sections 1st and 2nd.
  • a)
    180
  • b)
    120
  • c)
    240
  • d)
    150
  • e)
    260
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
A school has 4 sections of class 12, such that half the number of stud...
Let number of students in 4 sections be A, B, C, D respectively. Then
1/2 of A = 1/3 of b = 1/4 of C = 1/5 of D
So A : B : C : D = 2 : 3 : 4 : 5            [When A/2 = B/3 = C/4, then ratio A: B : C = 2 : 3 : 4] So students in 1st and 2nd section = [(2+3)/(2+3+4+5)] * 420 = 150
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Most Upvoted Answer
A school has 4 sections of class 12, such that half the number of stud...
Given information:
- School has 4 sections of class 12
- Half the number of students of 1st section, 1/3rd of 2nd section, 1/4th of 3rd section and 1/5th of the 4th section are equal
- Total number of students in class 12 is 420

To find:
- Number of students in sections 1st and 2nd

Solution:
Let the number of students in each section be x, then we have:
- Number of students in 1st section = x
- Number of students in 2nd section = 3x
- Number of students in 3rd section = 4x
- Number of students in 4th section = 5x

Given, half the number of students of 1st section, 1/3rd of 2nd section, 1/4th of 3rd section and 1/5th of the 4th section are equal. So, we have:

x/2 = 3x/3 = 4x/4 = 5x/5
Solving the above equation, we get x = 20

Therefore,
- Number of students in 1st section = x = 20
- Number of students in 2nd section = 3x = 60

Total number of students in class 12 = x + 3x + 4x + 5x = 13x = 13*20 = 260

Hence, the correct answer is option D, i.e., 150.
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A school has 4 sections of class 12, such that half the number of students of 1st section, 1/3rd of 2nd section, 1/4th of 3rd section and 1/5th of the 4th section are equal. If total number of students in class 12 is 420, find the number of students in sections 1st and 2nd.a)180b)120c)240d)150e)260Correct answer is option 'D'. Can you explain this answer?
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