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$8649$ students were sitting in a lecture room in such a manner that there were as many students in the row as there were rows in the lecture room. Among the following choices, the number of students in each row of the lecture room?

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answer is C.

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Detailed Solution

It is given that, the number of student to be arranged

= 8649

.
The arrangement of student is in the form of square with area

8649

.
The number of students in each row of the lecture room is x.
So, the number of rows = x.
Total students is given by

x^{2} = 8649

.
The number of students in each row is given by,

8649 = 3 × 3 × 31 × 31

= 3 × 31 = 93

The number of students in each row is 93.
Hence, option 3) is correct.

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