In a class, among the boys B is taller than 10 boys, but shorter than 13 others. Among girls, G is taller than 6 girls, but shorter than 8 others. Two boys and three girls are shorter than B, but taller than G. If no two persons have the same height, then in the entire class, B is

Explanation:

B is taller than 10 boys and B is shorter than 13 boys.

Therefore, there are a total of 10 + 1 + 13 = 24 boys in the class (including B).

G is taller than 6 girls and G is shorter than 8 girls.

Therefore, there are a total of 6 + 1 + 8 = 15  girls in the class (including G).

Two boys and three girls are shorter than B, but taller than G.

If B is taller than 10 boys, then B's position among the boys is  in height order

(since B is taller than 10 boys, but shorter than 13).

Among the girls, there are 15 girls, and we know two boys and three girls are shorter than B.

Therefore, 5 students (2 boys + 3 girls) are shorter than B overall.

Total Number of Students:

There are 24 boys and 15 girls, so the total number of students is 39 

Since B is taller than 10 boys, and there are 2 boys and 3 girls shorter than B,

B must be taller than 10 +1 + 3 +  6= 20 students.

Therefore, B is taller than 20 students and shorter than  39 - 20-1 = 18 others.

Thus, the correct option is Option 2).