What is a two-digit number? I. The difference between the two-digit number and the number formed by interchanging the digits is 27. II. The difference between the two digits is 3. III. The digit at unit's place is less than that at ten's place by 3.

As per given all statements , we can see that
Let, the two-digit number be 10x + y.
I. ⇒ | 10x + y − 10y − x | = 27 ⇒ |x − y | = 3
II. ⇒ |x − y | = 3
III. ⇒ x − y = 3
All the given informations are not sufficient so answer can not be determined .
Here, by taking any two of three , the values of x and y cannot be determined. So, choice ( E ) is the correct answer.