In a class, a student is ranked 35th from the top and 32nd from the bottom. How many students are there in the class?
Explanation
To find the total number of students in a line or class when the position of a single person from both ends is known, we use the following formula:
Total=(Ranktop+Rankbottom)−1
We subtract 1 because the student is counted twice—once when counting from the top and once when counting from the bottom.
Step-by-Step Calculation:
Given:
Ranktop=35
Rankbottom=32
Applying the formula:
Total=(35+32)−1
Total=67−1
Total=66
There are 66 students in the class. Therefore, Option 1 is the correct answer.