Question

Out of 745 students, maximum are to be arranged in the school field for a P.T. display, such that the number of rows is equal to the number of columns. Find the number of rows if 16 students were left out after the arrangement.

Answer 1

Total number of students = 745
Students left after standing in arrangement = 16
No. of students who were to be arranged = 745 – 16 = 729
The number of rows = no. of students in each row
No. of rows = `sqrt(729)`

3	729
3	243
3	81
3	27
3	9
3	3
	1

 

 

 

 

 

 

 

= `sqrt(bar(3 xx 3) xx bar(3xx3) xx bar(3xx3)`

= 3 x 3 x 3 = 27