Question

when N÷5leaves a remainder of 2find the ones digit of N ​

Answer 1

Answer:

2 and 7.

Step-by-step explanation:

Here,

    When N is divided by 5, it leaves a reminder of 2.

It means N is not totally divisible by 5, but when 2 is subtracted from N it is divisible.

It means :

⇒ ( N - 2 ) is divisible by 5.

         Let N - 2 = 5a

⇒ N - 2 = 5a

  We know, all the factors( ∈ N ) of 5 have either 0 or 5 as at the place of it's  ones digit.

So,

 Ones digit of N - 2 has either 0 or 5.

 N = ones digit( 0 or 5 ) + 2

 N =  ones digit( with 0 + 2  or 5 + 2 )

 N = ones digit( 2 or 7 )

 Hence the possible ones digit of N are 2 and 7.

     Here, we assumed N ≠ 0