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Megha is fifth from the left end and Priya is tenth from the right end in a row of girls. If there are nine girls between Megha and Priya, how many girls are there in the rows?

Solution

✅ Correct Option: 3

Megha is 5th from the left end, so her position from the left is 5.

Priya is 10th from the right end. If there are nn total girls in the row, Priya's position from the left is:

n−10+1=n−9n - 10 + 1 = n - 9


There are 9 girls between Megha and Priya.

The number of girls between two positions is calculated as:

Number of girls between = (Later position) - (Earlier position) - 1

(n−9)−5−1=9(n - 9) - 5 - 1 = 9

n−15=9n - 15 = 9

n=24n = 24


To verify:

  • Megha at position 5 from left
  • Priya at position 24−9=1524 - 9 = 15 from left
  • Girls between them: 15−5−1=915 - 5 - 1 = 9 ✓

Therefore, there are 24 girls in the row.

The correct answer is Option 3.

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