Question

Use euclid divison lemma to show that square ofany positive integer is of the form 5q+1,5q+2,5q+3 where q is some integers
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Answer 1

same process......!!!

Answer 2

given,
b=5
we know that a=bq+r
so,r=1,2,3,4
if r=1 then a=5q+1
             a+4=5q+1+4
                   =5q+5
                   =5(q+1)
            
     
     if r=2 then a=5q+2
                      a+8=5q+2+8
                            =5q+10
                             =5(q+2)
         
if r=3 then a=5q+3
                  a+12=5q+3+12
                          =5q+15
                         =5(q+3)
  
   if r=4 then a=5q+4
                 a+16=5q+4+16
                          =5q+20
                          =5(q+4)
a,a+4,a+8,a+12,a+16 is divisible by 5 where'q' is any positive integer

according to vamsitha's solution this is the answer but i dont know this is correct or wrong