A is fifteenth from the left end and B is eight from the right end. If...
Given information:
- A is fifteenth from the left end.
- B is eight from the right end.
- There are 4 boys between A and B.
- B is to the right of A.
To find: Total number of students sitting in the row.
Approach:
Let's first find the number of students between A and B.
Number of students between A and B = Total number of students - (position of A + position of B)
= Total number of students - (15 + 8)
= Total number of students - 23
Given that there are 4 boys between A and B. So, the number of girls between A and B = Total number of students between A and B - 4
= Total number of students - 23 - 4
= Total number of students - 27
Now, we know that B is to the right of A. So, the number of students to the right of A = position of B - position of A - 1 (excluding A and B)
= 8 - 15 - 1
= -8 (which is not possible)
Hence, there must be some students to the left of A as well. Let's assume that there are x students to the left of A.
So, the total number of students in the row = x + 15 + 4 + (Total number of students - 27)
= x + Total number of students - 8
Now, we know that B is to the right of A. So, x + 15 + 4 < total="" number="" of="" students="" -="" />
=> x + 19 < total="" number="" of="" students="" -="" />
=> x < total="" number="" of="" students="" -="" />
Also, we know that A is fifteenth from the left end. So, x + 15 = 16
=> x = 1
Substituting x = 1 in the above equation, we get:
Total number of students = x + Total number of students - 8
=> Total number of students = 9 + 8
=> Total number of students = 17
Therefore, the total number of students sitting in the row is 17, which is option (B).