Using Statement-I alone:
Statement-I tells us that x/y is odd, meaning the quotient of x and y is an odd number. For this to be true, x must be an odd multiple of y. However, without knowing any specific values for x and y, we cannot conclude the exact values of x and y. Therefore, Statement-I alone is insufficient to answer the question.
Using Statement-II alone:
Statement-II states that xy=12. The factors of 12 are (1,12), (2,6), (3,4), (12,1), (6,2), (4,3). These are the only possible pairs of x and y that satisfy the equation xy=12. However, we still need more information to determine the unique values of x and y. Therefore, Statement-II alone is insufficient to answer the question.
Combining Statement-I and Statement-II:
From Statement-II, we know the possible pairs of (x,y) that satisfy xy=12 are (1,12), (2,6), (3,4), (12,1), (6,2), (4,3).
- Only for the pair (6,2), x/y=6/2=3 is odd.
Thus, the only pair that satisfies both the condition xy=12 and x/y being odd is (6,2). Therefore, combining both statements, we can conclude that the unique values of x and y are 6 and 2.