Question

5969 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. How many rows

are there in the auditorium?​

Answer 1

There is only 1 row by the pattern you are saying

Answer 2

Answer:

77

Step-by-step explanation:

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=a  

2

 

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

∴a  

2

=5929

⇒a=  

5929

​  

 

7∣5929

7∣847

​  

 

11∣121

​  

 

∣11

​  

 

⇒a=  

(7×7)×(11×11)

​  

 

[By prime factorisation]

⇒a=7×11 [Taking one factor in each pair]

⇒a=77

Hence, there are 77 rows in the auditorium.