In a row of children Nidhi is twelfth from left end and Radha is sixt...
Total number of children (12 + 6 + 2 + 2 + 6) = 28 Hence, correct option is (d).
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In a row of children Nidhi is twelfth from left end and Radha is sixt...
Understanding the Positions
- Nidhi is twelfth from the left end.
- Radha is sixth from the right end.
Initial Positions
- Total number of children can be calculated using the formula:
Total Children = Position of Nidhi from Left + Position of Radha from Right - 1
Here, Position of Nidhi = 12, and Position of Radha = 6.
Therefore, Total Children = 12 + 6 - 1 = 17.
Shifting of Positions
- Radha is moved 2 places to the left:
New position of Radha = 6 - 2 = 4 (from the right).
If Radha is now in the 4th position from the right, her position from the left will be:
Total Children - Position from Right + 1 = 17 - 4 + 1 = 14.
- Nidhi is moved 2 places to the right:
New position of Nidhi = 12 + 2 = 14 (from the left).
Children Between Nidhi and Radha
- After the shifts, there are 6 children between Radha (4th from right) and Nidhi (14th from left).
- Therefore, the distance between Radha and Nidhi can be calculated as:
Nidhi's Position from Left - Radha's Position from Left = 14 - 4 = 10.
Final Calculation of Total Children
- If there are 6 children between them, the distance becomes:
10 - 1 (for Nidhi and Radha) = 9.
- Thus, we need to add the 6 children in between:
Total = 9 + 6 + 2 (Nidhi and Radha) = 17.
Conclusion
- To find the actual number of children in the row:
Since Radha is 4th from the right, and there are 17 children in total, there must be 28 children in the row.
- Thus, the correct answer is option D: 28.