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In a class of 60 students, where the number of girls is twice the number of boys, Raju ranked seventeenth from the top. If there are 9 girls ahead of Raju, then how many boys are after him in rank?
  • a)
    3
  • b)
    7
  • c)
    12
  • d)
    23
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
In a class of 60 students, where the number of girls is twice the num...
Given:
- Total number of students in the class = 60
- Number of girls is twice the number of boys
- Raju ranked seventeenth from the top
- There are 9 girls ahead of Raju

To find:
- Number of boys after Raju in rank

Solution:
1. Let's assume the number of boys in the class is x. Since the number of girls is twice the number of boys, the number of girls in the class would be 2x.

2. The total number of students in the class is given as 60. Therefore, we can write the equation: x + 2x = 60

3. Solving the equation, we get 3x = 60, which gives x = 20. So, there are 20 boys in the class.

4. Raju ranked seventeenth from the top, which means there are 16 students ahead of him in rank.

5. Among these 16 students, 9 are girls. Therefore, the remaining 16 - 9 = 7 students ahead of Raju are boys.

6. Since there are 20 boys in the class and 7 boys ahead of Raju in rank, the number of boys after Raju in rank would be 20 - 7 = 13.

7. However, we need to find the number of boys after Raju in rank, not including Raju himself. Therefore, we subtract 1 from the result obtained in the previous step.

8. So, the final answer is 13 - 1 = 12 boys after Raju in rank.

Therefore, option C) 12 is the correct answer.
Free Test
Community Answer
In a class of 60 students, where the number of girls is twice the num...
On dividing total students in the ratio of 1 : 2, there will be 20 boys and 40 girls in the class. Since 16 students are ahead of Raju, out of which, 9 are girls. Hence, 7 boys are before him. Now, find the number of boys after him, as shown below.
= 20 - (7 + 1) = 12.
Therefore, 12 boys are after him.
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In a class of 60 students, where the number of girls is twice the number of boys, Raju ranked seventeenth from the top. If there are 9 girls ahead of Raju, then how many boys are after him in rank?a)3b)7c)12d)23Correct answer is option 'C'. Can you explain this answer?
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