A number consist of two digit whose sum is 10. If the digits of the number are reversed, then the number decreased by 36. Which of the following is/are correct? I. The number is divisible by a composite number. II. The number is multiple of a prime number.

Let the two digit number be 10x + y.
Now, according to the question,
x + y = 10............(i)
if digits reversed , number get decreased by 36,
and ( x +10y) = ( 10x + y ) - 36
⇒ - 9y + 9x = 36
⇒ x - y = 4 ..................... (ii)
On adding Eqs. (i) and (ii), we get
2x = 14
⇒ x = 7
∴ x = 7 and y = 3
∴ Required number is 73.
So,the number is a multiple of a prime number.