Question

All 51 students in a class are standing in a row facing north. Aditi is 21st from the right end while Sagar is 35th from the left end. How many people stand between Aditi and Sagar?

• A. 2
• B. 5
• C. 3
• D. 4

Answer 1

Answer:

C. 3

There are 3 people standing between Aditi and Sagar.

To find the number of people between them, we first need to find both of their positions counting from the same side (let's use the left side).

1. Find Aditi's position from the left:

   • Formula: $\text{Position from Left} = (\text{Total Students} - \text{Position from Right}) + 1$

   • Aditi's Left Position = $(51 - 21) + 1 = \mathbf{31\text{st from the left}}$

2. Compare the two positions:

   • Sagar is 35th from the left.

   • Aditi is 31st from the left.

3. Calculate the people between them:

   • Formula: $(\text{Higher Position} - \text{Lower Position}) - 1$

   • $(35 - 31) - 1 = 4 - 1 = \mathbf{3}$

The students standing between them are the ones at the 32nd, 33rd, and 34th positions.