Question

If x and y are the number of possibilities that A can assume such that the unit digit of A and A cube are same and the unit digit of A square and A cube are same respectively, then the value of x-y is ( where A is a single digit number)If x and y are the number of possibilities that A can assume such that the unit digit of A and A cube are same and the unit digit of A square and A cube are same respectively, then the value of x-y is ( where A is a single digit number)

Answer 1

5 is answer .

Because 5 = 5^3

It means that 5 = 125 (its unit digit is same )

And

5^2=25 or

5^3= 125 ( its unit digit is also same )

So that its correct answer is 5

Answer 2

Thank you for asking this question. Here is your answer:

These are the possibilities  

For a single digit number A  

it's cube  is equal to it's number itself  

if A ={1,-1,0}

it's square is equal to it's number itself

if A={1,0}

x-y=3-2=1

If there is any confusion please leave a comment below.