Question

Column I		Column II
A	$\frac{{\log }_{2}32}{{\log }_3\sqrt{243}}$	P	positive integer
B	$\frac{2\log 6}{\log 12+\log 3}$	Q	negative integer
C	${\log }_{1/4}{\left(\frac{1}{16}\right)}^{-2}$	R	rational but not integer
D	$\frac{{\log }_{5}16-{\log }_{5}4}{{\log }_{5}128}$	S	prime
		T	irrational number

• A. (A) P, S; (B) P; (C) P; (D) R
• B. (A) P, S; (B) P; (C) Q; (D) R
• C. (A) P, S; (B) P; (C) R; (D) R
• D. (A) P, S; (B) P; (C) S; (D) R

Answer 1

Answer: (B)

$A=2,B=1,C=-4,D=2/7$