In a row of girls, Manika is 29th from the right and Kiran is 19th from the left. When they interchange their positions, Manika becomes 34th from the right. What is the total number of girls in the row?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 52
After the interchange, Manika sits in Kiran's old place. That one place is now known from both ends: 19th from the left (Kiran's old position) and 34th from the right (Manika's new position).
Girls to the left of that place \(=19-1=18\)
Girls to the right of it \(=34-1=33\)
Total \(=18+1+33=52\)
Tip: When one position is known from both ends, total \(=\) position from the left \(+\) position from the right \(-1\). Manika's first position (29th from the right) is not needed.