Rakesh is 17th from the right and Ankit is 15th from the left in a line of students. If they interchange their places, the position of Ankit becomes 19th from the left. How many students are there in the line?
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → 35
When the two students interchange places, Ankit takes Rakesh’s old place. So that one place is 19th from the left and also 17th from the right.
Students to the left of that place: \(19-1=18\)
Students to the right of it: \(17-1=16\)
Total \(=18+1+16=35\), the same as \(19+17-1\)
Ankit’s old place (15th from the left) is not needed; it only tells us that Ankit started to the left of Rakesh.