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In a row of students facing north, Maneesh is 15th from the left end and Suresh is 18th from the right end. If they interchange their positions, Maneesh becomes 25th from the left end. How many students are there in the row?
42
41
43
40
42
The total number of students in a row equals the new position of a person from one end plus their original position from the opposite end, minus one.
The total number of students in a row equals the new position of a person from one end plus their original position from the opposite end, minus one.
Analyze the Interchange
Initially, Maneesh is 15th from left and Suresh is 18th from right. After interchanging, Maneesh occupies Suresh's original position (18th from right) and is now 25th from left.
Apply the Total Formula
Since Maneesh is now 25th from the left and 18th from the right (Suresh's original position), the total count is (Left position + Right position - 1).
Final Calculation
Total = 25 + 18 - 1 = 43 - 1 = 42 students.
B: 41 ignores the standard -1 correction for double counting the same person; C: 43 is the sum without subtracting the person once; D: 40 is an arbitrary value inconsistent with the provided positional data.
A is correct because the new position of Maneesh (25 from left) plus the original position of Suresh (18 from right) minus 1 results in exactly 42.
In ranking problems, always ensure you are using the new position from one side and the original position of the other person from the opposite side to get the total.