For the following two (02) items:
Let $p=\sum_{j=1}^{n}\log_{10}2^{j} and q=\sum_{j=1}^{n}\log_{10}5^{j}$

If p + q = 66 then which one of the following is correct?

For the following two (02) items:
Let $p=\sum_{j=1}^{n}\log_{10}2^{j} and q=\sum_{j=1}^{n}\log_{10}5^{j}$

If p + q = 15 then what is equal to? q - p

For the following two (02) items:
Let sin A + sin B = p and cos A + cos B = q

What is p/q equal to?

For the following two (02) items:
Let sin A + sin B = p and cos A + cos B = q

What is $\frac{p^{2}-q^{2}}{p^{2}+q^{2}}$ equal to?