Question

5929 students are sitting in an auditorium in such a manner,that there was as many students in a row as there are rows in the auditorium.How many rows are there in an auditorium??

Answer 1

Let there be 'a' rows in the auditorium

Since the number of students in a row is same as the number of rows in the auditorium.

∴ Number of students in a row = a

⇒ Number of students in 'a' rows =a×a=a2

It is given that the total number of students in the auditorium = 5929

∴a2=5929

7592978471112111

⇒a=√(7×7)×(11×11)

⇒a=7×11

⇒a=77

Hence, there are 77 rows in the auditorium.