CAT (QA) PYQs

If $p^3 = q^4 = r^5 = s^6$, then the value of $\log_s(pqr)$ is equal to

The sum of all distinct real values of $x$ that satisfy the equation $10^x + \frac{4}{10^x} = \frac{91}{2}$, is

Suppose, $\log_3 x = \log_{12} y = a$, where $x, y$ are positive numbers. If $G$ is the geometric mean of x and y, and $\log_6 G$ is equal to