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George is fifth from the left and Peter is twelfth from the right end in a row of children.  If Pete shifts by three places towards George, he becomes tenth from the left end.  How many children are there in the row.
  • a)
    21                           
  • b)
    22
  • c)
    23                           
  • d)
    24
Correct answer is option 'D'. Can you explain this answer?
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Verified Answer
George is fifth from the left and Peter is twelfth from the right end ...
Clearly, George lies towards the left and while Peter lies towards the right end of the row.   So, when Peter whifts towards George, he shifts 3 places to the left.  Thus, Peter is now 15th from the right end.  But, Peter is 10th from the left end.  ∴ Number of children in the row = (14 + 1 + 9) = 24. 
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Most Upvoted Answer
George is fifth from the left and Peter is twelfth from the right end ...
Given information:
- George is fifth from the left end.
- Peter is twelfth from the right end.
- When Peter shifts three places towards George, he becomes tenth from the left end.

To find: How many children are there in the row.

Solution:
Let's assume that the total number of children in the row is 'x'.
- As George is fifth from the left end, there are 4 children to his left.
- Similarly, as Peter is twelfth from the right end, there are 11 children to his right.
- When Peter shifts three places towards George, he becomes tenth from the left end. This means that there are 9 children to his left.
- So the number of children between George and Peter = (x - 4) - (x - 11) + 1 = 8.
- Now, when Peter moves three places towards George, the number of children between them reduces by 3. So the number of children between them becomes 5.
- Therefore, the total number of children in the row = number of children to the left of George + number of children to the right of Peter + number of children between George and Peter
= 4 + 5 + 11
= 20 + 1 (including Peter)
= 21.

Hence, the correct answer is option 'D' - 24.
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George is fifth from the left and Peter is twelfth from the right end in a row of children. If Pete shifts by three places towards George, he becomes tenth from the left end. How many children are there in the row.a)21b)22c)23d)24Correct answer is option 'D'. Can you explain this answer?
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