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In a line of children, Ramesh is fifth from the left and Mona is 6th from the right. When they interchange their positions Ramesh becomes 13th from the left. Then what will be the position of Mona from the right?
  • a)
    11th
  • b)
    12th
  • c)
    13th
  • d)
    14th
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
In a line of children, Ramesh is fifth from the left and Mona is 6th ...
So there are 18 children in all.
Mona's position from right will be 18 – 5 + 1 = 14th
Hence, option D is correct.
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Most Upvoted Answer
In a line of children, Ramesh is fifth from the left and Mona is 6th ...
Given information:
- Ramesh is fifth from the left end of the line of children.
- Mona is sixth from the right end of the line of children.
- After interchanging their positions, Ramesh becomes 13th from the left end of the line.

To find:
- Mona's position from the right end of the line of children after interchanging their positions.

Solution:
1. Let's first determine the total number of children in the line.
- Before interchanging positions: Ramesh is fifth from the left end and Mona is sixth from the right end, so the number of children in the line = 5 + 6 - 1 = 10.
- After interchanging positions: Ramesh becomes 13th from the left end, so the number of children in the line remains the same.

2. Now, we can use the fact that the sum of the positions of Ramesh and Mona in the line remains constant before and after interchanging positions.
- Before interchanging positions: Ramesh's position = 5, Mona's position = 10 - 6 + 1 = 5.
- After interchanging positions: Ramesh's position = 13, Mona's position = 10 - 13 + 1 = -2 (which is not possible).

3. We made an error in step 2 by assuming that the sum of the positions of Ramesh and Mona in the line remains constant. However, this is not true when the positions are counted from different ends of the line.
- Let's consider the positions of Ramesh and Mona from the left end of the line after interchanging positions.
- Ramesh's position = 13 (given).
- Mona's position = total number of children in the line - Ramesh's position + 1 = 10 - 13 + 1 = -2 (which is not possible).
- Therefore, we need to count Mona's position from the right end of the line after interchanging positions.

4. Mona's position from the right end of the line after interchanging positions:
- Mona's position from the right end of the line before interchanging positions = 6.
- Number of children to the right of Ramesh before interchanging positions = 10 - 5 = 5.
- Number of children to the left of Mona after interchanging positions = 13 - 1 = 12.
- Therefore, Mona's position from the right end of the line after interchanging positions = 5 + 12 + 1 = 18.

Answer: Mona's position from the right end of the line of children after interchanging positions is 14th.
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In a line of children, Ramesh is fifth from the left and Mona is 6th from the right. When they interchange their positions Ramesh becomes 13th from the left. Then what will be the position of Mona from the right?a)11thb)12thc)13thd)14thCorrect answer is option 'D'. Can you explain this answer?
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