In a 90-student class, girls are double boys. If Rahul is 20th from top and 15 girls are ahead of him, find number of boys behind him.
- AOption (a)
28
- BOption (b)
26
- COption (c)
24
- DOption (d)
25
View answer & explanationHide answer & explanation
Correct answer
25
Why this answer is correct
Given:
Total students in the class = 90
Number of girls = 2 × (Number of boys)
Rahul's rank = 20th from the top.
The number of girls ahead of Rahul is 15.
Find the total number of boys and girls in the class.
Let the number of boys be 'B' and the number of girls be 'G'.
Total students = B + G = 90
Since G = 2B:
B + 2B = 90
3B = 90
B = 30
G = 2 × 30 = 60
So, there are 30 boys and 60 girls in the class.
Find the number of boys ahead of Rahul who is ranked 20th.
The number of students ahead of Rahul = (Rahul's rank) - 1
= 20 - 1
= 19 students.
Number of boys ahead of Rahul = (Total students ahead) - (Number of girls ahead)
= 19 - 15
= 4 boys.
Finally, find the number of boys behind him:
Number of boys behind him = (Total number of boys) - (Number of boys ahead of him) - 1 (for Rahul himself)
= 30 - 4 - 1
= 26 - 1
= 25 boys.
Hence, the correct answer is "Option 4".