Question

There 50 people in a row. Rajiv is 28th person from the right side of the row. Raushan is 32nd person from the left side of the row. What is the total number of people sitting between Rajiv and Raushan?

Answer 1

8

Answer 2

To find the number of people between Rajiv and Raushan, we first need to determine their positions from a common reference point, for example, the left end of the row.

1. Given Information:

• Total number of people in the row = 50
• Rajiv's position from the right end = 28th
• Raushan's position from the left end = 32nd

2. Convert Rajiv's position to be from the left end: If a person's position from the right end is $R$, and the total number of people in the row is $T$, then their position from the left end is given by the formula:

Position from Left = $T - R + 1$

For Rajiv: Position from Left = $50 - 28 + 1$ Position from Left = $22 + 1$ Position from Left = 23rd

So, Rajiv is the 23rd person from the left end of the row.

3. Compare the positions from the left end:

• Rajiv is 23rd from the left.
• Raushan is 32nd from the left.

Since Rajiv's position (23rd) is less than Raushan's position (32nd) when counted from the left, Rajiv is to the left of Raushan.

4. Calculate the number of people between them: To find the number of people between two individuals when their positions are known from the same end, subtract the smaller position from the larger position and then subtract 1.

Number of people between them = (Raushan's position from left) - (Rajiv's position from left) - 1 Number of people between them = $32 - 23 - 1$ Number of people between them = $9 - 1$ Number of people between them = 8

Thus, there are 8 people sitting between Rajiv and Raushan.