Manoj ranks seventeenth in a class of 59 students. What is his rank from the last ?

The correct answer is (D) 43.

• Given Data and Formula: Total number of students ($N$) = 59, Manoj's rank from the beginning ($R_{start}$) = 17. The formula to find the rank from the last ($R_{end}$) when total students and rank from the start are given is: $R_{end} = Total - R_{start} + 1$.
• Step-by-Step Calculation: Substitute the given values into the formula: $R_{end} = 59 - 17 + 1$. First, subtract 17 from 59: $59 - 17 = 42$. Then, add 1 to the result: $42 + 1 = 43$. Thus, Manoj's rank from the last is 43.
• Verification and Option Contrast: To verify, total students = (Rank from start + Rank from last) - 1 $ ightarrow$ $(17 + 43) - 1 = 60 - 1 = 59$, which matches the given total. Option (A) 17 is his starting rank, Option (B) 18 is an incorrect calculation without adding 1, and Option (C) 42 misses the inclusion of Manoj himself. Hence, option (D) is the correct choice.