Problem

Column I		Column II
(A)	If $x_1$ and $x_2$ satisfy the equation $(x+1)^{\log_{10}(x+1)} = 100(x+1)$ , then the value of $(x_1+1)(x_2+1)+5$ is	(p)	irrational
(B)	The product of all values of $x$ which make the following statement true $(\log_3 x)(\log_5 9) - \log_x 25 + \log_3 2 = \log_3 54$ , is	(q)	rational
		(r)	prime
(C)	If $\log_b a = -3$ , $\log_b c = 4$ and if the value of $x$ satisfying the equation $a^{3x} = c^{x-1}$ is expressed in the form $p/q$ , where $p$ and $q$ are relatively prime, then $q$ is	(s)	composite
		(t)	twin prime