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In a class of 90 ,where girls are twice that of boys ,Shridar ranked fourteenth from the top ,if there are 10 girls ahead of Shridar ,how many boys are after him in rank?
- a)23
- b)26
- c)25
- d)22
- e)None of these
Correct answer is option 'B'. Can you explain this answer?
Verified Answer
In a class of 90 ,where girls are twice that of boys ,Shridar ranked f...
- Determine the Number of Boys and Girls:
- Let’s Assume:
- Number of Boys = B
- Number of Girls = G
- Given: Girls are twice the number of boys.
- So, G = 2B
- Total Students: B + G = 90
- Substituting G:
- B + 2B = 90
- 3B = 90
- B = 30
- Substituting G:
- Therefore:
- Number of Boys (B) = 30
- Number of Girls (G) = 60
- Let’s Assume:
- Analyze Shridar’s Rank:
- Shridar's Rank: 14th from the top.
- Girls Ahead of Shridar: 10
- Total Students Ahead of Shridar: 13 (since he is 14th)
- Breakdown of the Top 13 Students:
- Girls Ahead: 10
- Boys Ahead: 13 - 10 = 3
- Shridar's Position Among Boys:
- Since 3 boys are ahead of him, Shridar is the 4th boy in the ranking.
-
- Calculate the Number of Boys After Shridar:
- Total Boys in Class: 30
- Boys Ranked Before Shridar: 3
- Shridar's Position: 4th boy
- Boys After Shridar: Total Boys - Shridar's Position
- 30 - 4 = 26
-
Most Upvoted Answer
In a class of 90 ,where girls are twice that of boys ,Shridar ranked f...
Given:
- Total number of students = 90
- Girls are twice that of boys
- Shridar ranked 14th from the top
- 10 girls are ahead of Shridar
To find:
- Number of boys after Shridar in rank
Approach:
1. Let the number of boys be x.
2. Then, the number of girls will be 2x (as girls are twice that of boys).
3. Total number of students = number of boys + number of girls = x + 2x = 3x
4. Shridar ranked 14th from the top, so there are 13 students ahead of him in rank.
5. Out of these 13 students, 10 are girls. Therefore, the remaining 3 students ahead of Shridar are boys.
6. So, the rank of the last boy before Shridar = 14 - 3 = 11.
7. Number of boys after Shridar in rank = Total number of boys - Rank of the last boy before Shridar = x - 11
Calculation:
- Total number of students = 90
- Number of girls = 2x
- Number of boys = x
- Total number of students = 3x
=> 3x = 90
=> x = 30
- Number of boys after Shridar in rank = x - 11
= 30 - 11
= 19
Therefore, the correct option is (B) 26.
- Total number of students = 90
- Girls are twice that of boys
- Shridar ranked 14th from the top
- 10 girls are ahead of Shridar
To find:
- Number of boys after Shridar in rank
Approach:
1. Let the number of boys be x.
2. Then, the number of girls will be 2x (as girls are twice that of boys).
3. Total number of students = number of boys + number of girls = x + 2x = 3x
4. Shridar ranked 14th from the top, so there are 13 students ahead of him in rank.
5. Out of these 13 students, 10 are girls. Therefore, the remaining 3 students ahead of Shridar are boys.
6. So, the rank of the last boy before Shridar = 14 - 3 = 11.
7. Number of boys after Shridar in rank = Total number of boys - Rank of the last boy before Shridar = x - 11
Calculation:
- Total number of students = 90
- Number of girls = 2x
- Number of boys = x
- Total number of students = 3x
=> 3x = 90
=> x = 30
- Number of boys after Shridar in rank = x - 11
= 30 - 11
= 19
Therefore, the correct option is (B) 26.
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Community Answer
In a class of 90 ,where girls are twice that of boys ,Shridar ranked f...
If girls are twice ,then boys are 30 and girls are 60. Also 10 girls are ahead him and his rank is 14 th that means 3 boys are ahead him ,that means out of 30 ,26 are after him.
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In a class of 90 ,where girls are twice that of boys ,Shridar ranked fourteenth from the top ,if there are 10 girls ahead of Shridar ,how many boys are after him in rank?a)23b)26c)25d)22e)None of theseCorrect answer is option 'B'. Can you explain this answer?
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