Sonam is 8 ranks ahead of Soniya who ranks twenty-sixth in a class of 45. What is Sonam's rank from the last?

28

The correct answer is Option (4) → 28

To find Sonam's rank from the last, we can follow these steps:

Determine Soniya's rank from the top: It is given that Soniya ranks 26th in the class.

Determine Sonam's rank from the top: Sonam is 8 ranks ahead of Soniya. In ranking, being "ahead" means having a better (lower numerical) rank.

$\text{Sonam's rank (top)} = 26 - 8 = 18^{\text{th}}$

Calculate Sonam's rank from the last: To find the rank from the bottom, we use the formula:

$\text{Rank from bottom} = (\text{Total students} - \text{Rank from top}) + 1$

Given total students = $45$ and Sonam's rank from top = $18$:

$\text{Rank from bottom} = (45 - 18) + 1$

$\text{Rank from bottom} = 27 + 1 = 28^{\text{th}}$

Final Answer:

Sonam's rank from the last is 28.