In a row of girls, if Rupa is ninth from the left and Shikha is tenth from the right. On interchanging their positions, Rupa becomes sixteenth from the left. How many girls are there in the row?
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → 25
After the interchange, Rupa stands in Shikha’s old place. That one place is then known from both ends of the row, which gives the total.
Shikha’s old place is 10th from the right (given)
Rupa, now standing there, is 16th from the left, so the same place is 16th from the left
Girls in the row \(=16+10-1=25\); the girl in that place is counted in both 16 and 10, so 1 is taken away

Rupa’s first place (9th from the left) is not needed for the total.