In a class of 54 students, the number of girls is half the number of boys. Anita's rank is 19th from the top and seven girls rank above Anita. Anita's rank is above how many boys?
In a class of 54 students, the number of girls is half the number of boys. Anita's rank is 19th from the top and seven girls rank above Anita. Anita's rank is above how many boys? Correct Answer 25
According to the question,
The total number of students: 54.
Let, the number of girls are "x".
Therefore, the number of boys will be "2x".
So,
⇒ x + 2x = 54.
⇒ 3x = 54
⇒ x = 54/3.
⇒ x = 18.
Hence, the number of girls will be 18.
The number of boys will be 2*18 = 36.
As per the question:
Anita's rank is 19th from the top.
It means that there are 18 students are above her.
Also, seven girls are above Anita.
Therefore, the number of boys above her will be:18 - 7 = 11boys.
So, the number of girls below her will be :
Total number of girls (excluding Anita) - total number of girls above Anita.
= 17 - 7 = 10 girls.
Therefore, the number of boys below Anita :
(The total number of students below Anita) - (number of girls below Anita).
= 35 - 10
= 25.
As "25" boys are below Anita.
So, this can be concluded that Anita's rank is above 25 boys.
Therefore, the correct answer is "25"