Question

A positive number when divided by 88 gives the remainder 8. What will be the remainder when this number is divided by 11

Answer 1

A positive number when divided by 88 gives the remainder 8 what will be the remainder when this number is divided by 11...

Answer

Let n = 88p + 8

A T.Q....

=> n/88 = p + 1/11
=> n = 11q + r
=> n/11 = q+ r/11
=> n/88 = q/8 + r/88 
=> p+1/11 = q/8 + r/88 
=> p+8/88 = q/8 + r/88 

SO ,

We know p = (11q +r -8 /88) 

The only way for (11q+r-8)/88 is that we have

(11q/88) or (11q-11)/88

So , r = -3 or r = 8. 

Since ,  The remainder would be 8.