Given:

• x, y are distinct natural numbers.

Checking statement 1 and 2 individually:

• We cannot find the values of x or y only be one statement alone. Hence, options a and b are eliminated.
• We need to check if the question can be answered or cannot be answered. i.e. between options c and d.

Statement-II: xy = 12

• We'll first list down all possible pairs of natural numbers whose product is 12: 1×12, 2×6, 3×4

Now let's check Statement-I: x / y is odd. 

• This means that x and y must be such that x divided by y results in an odd number.

For each pair from our list:

• 1×12: 12/1=12 (not odd)
• 2×6: 6/2=3 (odd)
• 3×4: 4/3=1.33 (not a natural number)

From our list of pairs, only one pair satisfies this condition: (2, 6).

• Combining both statements, we find that the unique values of x and y that satisfy both conditions are x = 2 and y = 6. These values are distinct natural numbers and fulfill both conditions given in the question.
• Therefore, the correct answer is (c) The Question can be answered by using both the Statements together, but cannot be answered using either Statement alone.