5929 students are sitting in an auditorium in such a manner that there are as many students in a row as there are rows in the auditorium. The number of rows in the auditorium is ____.

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Detailed Solution

Concept- The number of rows in the auditorium is 77. Consider a situation where there are 5929 students sat in an auditorium, with the same number of students in each row as there are rows in the room. Then, while maintaining the value of 5929, determine how many kids will be arranged in a row. Try it; you'll find the answer.
With the same number of students in each row as there are rows in the area, there are 5929 students sitting in the auditorium in the problem at hand.
Consider the number of students in a row here.

.
Finding the number of pupils seated in a row will yield the following information:

Here, the number of students in the row divided by the total number of students in the auditorium
Given that there are students in the auditorium as a whole,

.
From above we can see that,

Now taking square root on both sides we get,

Now, factors of

Simplifying we get,
factors of

Now we know that,

, so substituting factors of

we get,

So, we get,

Simplifying in simple form we get,

Hence, the correct answer is 77

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