Question

A no. is divided by 289 gets remainder 7. If the square of that no. divided by 17, than find such remainder.​

Answer 1

Answer:

15

Step-by-step explanation:

Let the no. be (289k + 7)

Now, Square of the no. = (289k + 7)²= (289k)² + 49 + 2*7*289k

Now, This is to be divided by 17:

=>(289k)²/17 ==> remainder = 0 { because 289 is a factor of 17. So, rem = 0}

=> 49/17  ==> Remainder = 15

==> 14*289k/17  remainder = 0 { because 289 is a factor of 17. So, rem = 0}

 ==> remainder = 0 + 15 + 0 = 15