In a row of girls. Rita and Monika occupy ninth place from the right ...
Since Rita and Monika exchange places, so Rita's new position is the same as Monika's earlier positions. This position is 17th from the right and 10th from the left
So, Number of girls in the row = (16 + 1 + 9) = 26
Hence, the correct option is (B).
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In a row of girls. Rita and Monika occupy ninth place from the right ...
To find out the number of girls in the row, let's analyze the given information step by step.
Given Information:
- Rita is in the ninth place from the right end.
- Monika is in the tenth place from the left end.
- When they interchange their places, Rita becomes the seventh place from the right and Monika becomes the eighteenth place from the left.
Step 1: Determine the total number of girls in the row
Let's assume there are 'x' girls in the row.
Step 2: Determine the new positions of Rita and Monika after interchanging
- After interchanging, Rita becomes the seventh place from the right. So, there are 6 girls to the right of Rita.
- After interchanging, Monika becomes the eighteenth place from the left. So, there are 17 girls to the left of Monika.
Step 3: Analyze the positions of Rita and Monika in the original arrangement
- Initially, Rita is in the ninth place from the right. So, there are 8 girls to the right of Rita.
- Initially, Monika is in the tenth place from the left. So, there are 9 girls to the left of Monika.
Step 4: Equate the positions of Rita and Monika in the original and new arrangements
From step 3, we know that there are 8 girls to the right of Rita in the original arrangement. From step 2, we know that there are 6 girls to the right of Rita in the new arrangement. Therefore, 8 - 6 = 2 girls have moved to the right of Rita.
Similarly, from step 3, we know that there are 9 girls to the left of Monika in the original arrangement. From step 2, we know that there are 17 girls to the left of Monika in the new arrangement. Therefore, 17 - 9 = 8 girls have moved to the left of Monika.
Step 5: Determine the total number of girls in the row
Since 2 girls have moved to the right of Rita and 8 girls have moved to the left of Monika, the total number of girls in the row can be calculated as follows:
x = 8 (girls to the left of Monika) + 1 (Monika) + 2 (girls to the right of Rita)
x = 11
Therefore, there are 11 girls in the row, which means the correct answer is option B) 26.