Question

Madan and Mohan are standing in a row of people. Madan is standing at the 16th position from the left side of the row and Mohan is standing at the 19th position from the right side of the row. If both of them interchange their positions Madan becomes 28th from the left. How many people are standing in the row?

• A. 35
• B. 43
• C. 47
• D. 46

Answer 1

Answer:

D. 46

The total number of people standing in the row is 46.

1. Analyze the initial setup:

   • Madan is at the 16th position from the left.

   • Mohan is at the 19th position from the right.

2. Analyze the positions after interchanging:

   • Madan moves to Mohan's old spot and is now 28th from the left.

   • Since this is the exact same physical spot where Mohan originally stood, this position is simultaneously the 28th from the left and the 19th from the right.

3. Calculate the total number of people:

   • Add the left position and the right position of this specific spot, then subtract 1 (because that person's spot is counted twice).
     $\text{Total} = \text{Position from Left} + \text{Position from Right} - 1$
     $\text{Total} = 28 + 19 - 1 = 46$