Question

if a number
is divided by 7 remainder is 4 what will be the remainder when the square of same number is divided by7​

Answer 1

Step-by-step explanation:

let the number be 7x +4 where x=any positive integer (1,2,3............)

According to given question, (7x+4)^2= (7x)^2+ 4^2+ 2*7*4

=49x^2+ 16+ 56=49x^2+72

since 49 is divisible by 7, 49x^2 is also divisible by 7.

Then only 72 remain.

72 when divided by 7 gives remainder 2.

Hence 49x^2 + 72 when divided by 7 gives remainder 2.

so, correct answer is 2.

Answer 2

Answer:

Hence the remainder is 2.