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Q. In a row of girls, Nidhi and Heena occupy the ninth place from the right end and tenth place from the left end, respectively. If they interchange their places, Nidhi and Heena occupy seventeenth place from the right and eighteenth place from the left, respectively. How many girls are there in the row?
a)25 
b)26 
c)27 
d)Data inadequate
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
Q. In a row of girls, Nidhi and Heena occupy the ninth place from the ...
Given:
Nidhi is at ninth place from the right end.
Heena is at the tenth place from the left end.
After interchanging their places, Nidhi is at seventeenth place from the right end and Heena is at eighteenth place from the left end.

To find:
How many girls are there in the row?

Solution:
Let the number of girls in the row be N.
According to the given information, we can write the following equations:

N - 8 + 1 = 10 => N = 19 (Nidhi is at ninth place from the right end)
N - 10 + 1 = 17 => N = 26 (Nidhi is at seventeenth place from the right end)
N - 17 + 1 = 18 => N = 36 (Heena is at eighteenth place from the left end)

Therefore, the number of girls in the row is 26 (option B).

Explanation:
We can use the concept of the total number of people in a row to solve this problem. Here, we are given the positions of Nidhi and Heena from both ends of the row. By using these positions, we can write equations and solve for the total number of girls in the row.

Firstly, we are given that Nidhi is at the ninth place from the right end. So we can write:

N - 8 + 1 = 10, where N is the total number of girls in the row.
Here, we subtract 8 from N because Nidhi is at the ninth place from the right end. We add 1 because we want to count Nidhi as well. And we equate it to 10 because we are given that Nidhi is at the tenth place from the left end.

Simplifying this equation, we get N = 19.

Next, we are given that after interchanging their places, Nidhi is at the seventeenth place from the right end and Heena is at the eighteenth place from the left end. So we can write:

N - 16 + 1 = 17, for Nidhi's position from the right end.
N - 17 + 1 = 18, for Heena's position from the left end.

Simplifying these equations, we get N = 26 and N = 36, respectively.

Since we want the total number of girls in the row, we take the value of N from any one of the equations. Here, N = 26 satisfies all the given conditions. Therefore, the answer is 26.
Free Test
Community Answer
Q. In a row of girls, Nidhi and Heena occupy the ninth place from the ...
So in this question they have given Nidhi and Heena place that is 9 & 10 so now they bhot have interchange their position with eachother that will become 17 & 18 so the solution will be
9+17-1= 26
so the option B is the correct ans of this question
Ans :- Their are 26 girls in a row
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