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All 36 students in a class are standing in a row facing north. Preeti is 12th from the right end while Alisha is 22nd from the left end. How many people stand between Preeti and Alisha?
3
1
5
2
2
When total students and the positions from both ends are known, use the formula: Number of persons between them = Total students - (Rank from left + Rank from right).
When total students and the positions from both ends are known, use the formula: Number of persons between them = Total students - (Rank from left + Rank from right).
Step 1: Convert Preeti's position from the right end to the left end
Preeti is 12th from the right end in a class of 36 students. Her position from the left end = Total students - Rank from right + 1 = 36 - 12 + 1 = 25th from the left.
Step 2: Note Alisha's position from the left end
Alisha is given as 22nd from the left end.
Step 3: Calculate the number of students between them
Number of students between two persons = (Higher rank from left) - (Lower rank from left) - 1 = 25 - 22 - 1 = 3 students.
A: 1 is incorrect because it is less than the calculated number 3. B: 2 is incorrect because the difference minus 1 yields 3, not 2. C: 5 is incorrect because it overestimates the gap.
D is correct because converting Preeti's rank from the right (12th) to the left gives 25th, and with Alisha at 22nd from the left, the number of people standing between them is 25 - 22 - 1 = 3.
Always convert both ranks to the same reference end (either both from left or both from right) before finding the number of persons between them.
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