Question

A number of children are standing evenly spaced around a circle. The third child is directly opposite to the 28th child. How many children are there altogether?

• A. 48
• B. 50
• C. 54
• D. 56

Hint:

When dealing with circular opposite positions, always use: \[ \frac{N}{2} = \text{difference in positions} \]

Answer 1

The Correct Option is B

Step 1: Understand what “directly opposite” means.
If one child is directly opposite another in a circular arrangement, the distance between them is half of the total number of children. That is: \[ \frac{N}{2} = \text{difference in their positions} \]
Step 2: Compute the position difference.
\[ 28 - 3 = 25 \] So the two children are 25 positions apart along the circle.
Step 3: Use the formula.
\[ \frac{N}{2} = 25 \quad \Rightarrow \quad N = 50 \]
Step 4: Conclusion.
Thus, the total number of children standing around the circle is 50, making the correct answer (B).