Among the following, the number of aromatic compound(s) is

Columns 1, 2 and 3 contain starting materials, reaction conditions, and type of reactions, respectively.

	Column 1		Column 2		Column 3
(I)	Toluene	(i)	NaOH/Br2	(P)	Condensation
(II)	Acetophenone	(ii)	Br2/hv	(Q)	Carboxylation
(III)	Benzaldehyde	(iii)	(CH3CO)2O/ CH3COOK	(R)	Substitution
(IV)	Phenol	(iv)	NaOH/CO2	(S)	Haloform

The only CORRECT combination that gives two different carboxylic acids is :

Let X and Y be two events such that $$P(X) = {1 \over 3}$$, $$P(X|Y) = {1 \over 2}$$ and $$P(Y|X) = {2 \over 5}$$. Then

Let f : R $$ \to $$ (0, 1) be a continuous function. Then, which of the following function(s) has (have) the value zero at some point in the interval (0, 1) ?