Given below are two statements:
Statement (I): The difference, the sum, and the product of two numbers are in the ratio 1:5:12. The product of the two numbers is 18.
Statement (II): The last digit in the decimal representation of $$2^{91}$$ is 6. In light of the above statements, choose the most appropriate answer from the options given below.

Statement I

The difference, the sum, and the product of two numbers are in the ratio 1:5:12. Let's assume the difference is k, the sum is 5k, and the product is 12.
The product of the two numbers is 18.
$$12k=18$$. Thus, $$k=1.5$$
This means that the difference will be 1.5, and the sum will be 7.5.
But, this is not possible, because the sum or the difference of the two numbers cannot be a decimal value. 
Statement I is FALSE.

Statement II

Unit digit of $$2^{4k+1}=2$$
Unit digit of $$2^{4k+2}=4$$
Unit digit of $$2^{4k+3}=8$$
Unit digit of $$2^{4k}=6$$
Now, Unit digit of $$2^{91}=2^{4\times22+3}=2^{4k+3}$$, where $$k=22$$ will be 8. 
Statement II is FALSE.