Sonam is 8 ranks ahead of Soniya who ranks twenty-sixth in a class of 45. What is Sonam's rank from the last?
Answer & explanation
Correct answer: option 4
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.