Question

In a class of $60,$ where the number of girls is twice that of the boys, Kamal is ranked seventeenth from the top. If there are $9$ girls ahead of Kamal then, how many boys are after him in rank?

• A. $3$
• B. $7$
• C. $12$
• D. $23$

Answer 1

The correct option is C $12$

Let the number of boys be $x.$
Then, number of girls $=2x.$
$\therefore x+2x=60$ or $3x=60$ or $x=20$
So, number of boys $=20$ and number of girls $=40$.
Number of students behind Kamal in rank
$(60-17)=43$.
Number of girls ahead of Kamal in rank $=9$
Number of girls behind Kamal in rank $=(40-9)=31$
$\therefore$ Number of boys behind Kamal in rank $=(43-31)=12$.